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  • How to type Math Equations
    Just wanted to point out that a number of one-line functions will render all tiny and ugly unless you go to "My Preferences" at the top
    3 KB (483 words) - 06:02, 23 September 2011
  • Rhea Portal
    One of the core functions of Rhea is to enable students to create and share learning material with ot
    6 KB (877 words) - 07:22, 21 March 2013
  • ECE 301 (SanSummer2008)
    ...unit step functions_(ECE301Summer2008asan)|The unit impulse and unit step functions]]
    7 KB (921 words) - 06:08, 21 October 2011
  • 1.27 (a,b,c,f) (ECE301Summer2008asan)
    ...nded then the output y(t) is also bound because it is the sum of two bound functions. ...und, the function y(t) is also bound since it is the multiple of two bound functions.
    3 KB (534 words) - 11:16, 30 January 2011
  • 2.11 (ECE301Summer2008asan)
    ...tau-5)} + e^{-3(\tau-3)}</math>. I think you then may need to add the step functions to the answer so that it is general for all cases: <math>y(\tau) = e^{-3(\t
    1 KB (301 words) - 07:10, 5 January 2009
  • Problem 6 (ECE301Summer2008asan)
    NO: The inverse transform of this signal is a set of delta functions that are not periodic. YES: Taking the FT of c(t) we get delta functions at <math>\omega_c</math> and <math>-\omega_c</math>.
    4 KB (777 words) - 11:49, 21 November 2008
  • ECE301:SanSummer08:Exam II (ECE301Summer2008asan)
    Lecture 15 pg. 18 gives details of the properties for these types of functions.
    4 KB (815 words) - 10:57, 21 November 2008
  • ECE 301 Fall 2007 mboutin Automated Property Verification
    =Basics: Systems as "functions that operate on functions"= ...on functions" way of thinking can be extended even further to the "system" functions (such as timeshift above) to prove things about systems.
    3 KB (518 words) - 17:00, 23 April 2013
  • ECE 301 Fall 2007 mboutin DT Fourier Series in Matlab
    Good find in the functions library.
    5 KB (834 words) - 17:26, 23 April 2013
  • ECE 301 Fall 2007 mboutin Matlab
    ==[[ECE 301 Fall 2007 mboutin Functions in Matlab|Functions in Matlab]]== {{:ECE 301 Fall 2007 mboutin Functions in Matlab}}
    1,000 B (121 words) - 12:50, 18 December 2008
  • ECE 301 Fall 2007 mboutin Guide to Partial Fraction Expansion
    ...of partial fraction expansion. Partial fraction expansion allows us to fit functions to the known ones given by the known Fourier Transform pairs table.
    4 KB (616 words) - 17:26, 23 April 2013
  • ECE 301 Fall 2007 mboutin Meaning of Fourier Transform
    ...number of frequency components. The Fourier Transform applies to aperiodic functions and breaks the function into as infinite number of infinitesimally close fr
    3 KB (431 words) - 17:29, 23 April 2013
  • ECE 301 Fall 2007 mboutin Functions in Matlab
    [[Category: Functions]] ...save you the trouble of typing the same lines of code over and over again. Functions are written in m-files. Open MATLAB, then go to file->new->m-file. Let's be
    2 KB (356 words) - 13:07, 18 December 2008
  • Lecture Schedule (ECE438BoutinSpring09)
    ...le="padding-right: 1em;" | Wednesday || 03/11/09 || Estimating correlation functions <span style="color:red"> HW6 due </span> || 3.1.6
    6 KB (689 words) - 07:59, 2 August 2010
  • Main Page MA181Fall2008bell
    ...cdots command. This stands for 'center dots'. There are also other 'dot' functions.
    3 KB (390 words) - 06:35, 10 August 2010
  • Jo's favorite Theorem MA453Fall2008walther
    ...sense as an extension to the incompleteness theorem -- Not only are there functions whose output we cannot compute, but it is impossible to differentiate those
    972 B (158 words) - 17:39, 21 January 2009
  • Galymzhan Uteulin Favorite Theorem
    ...ner), the sandwich theorem, squeeze theorem.. So the definition. We have 3 functions f, g, h on some certain interval, and they hold following inequality on thi
    761 B (141 words) - 07:34, 26 January 2009
  • CourseNotes2 (BoutinSpring2009)
    <li>Singularity Functions</li>
    3 KB (508 words) - 06:43, 16 September 2013
  • CourseNotes3 (BoutinSpring2009)
    <p><h3><u>Delta Functions</u></h3><br/>
    2 KB (408 words) - 06:43, 16 September 2013
  • Hw3 comments (ECE438BoutinSpring09)
    - Using sinc and rect functions along with Fourier transform properties is key to solving some of the probl
    546 B (93 words) - 20:27, 18 February 2009
  • Temporary Math Page
    ===Functions===
    1 KB (169 words) - 21:29, 12 February 2009
  • What you want to know for Exam 1
    *General knowledge of transfer functions
    710 B (115 words) - 14:35, 17 February 2009
  • CourseNotes20 (BoutinSpring2009)
    <span class="cheader">3.1.6 Estimating Correlation functions</span>
    3 KB (522 words) - 06:45, 16 September 2013
  • Question 7.4
    '''For part D''' you will just use the expected value functions for <math>E(x)</math> and <math>E(x^2)</math> The formulas are as follows:
    2 KB (292 words) - 06:18, 2 April 2009
  • Course evaluation (ECE438BoutinSpring2009)
    ...o enjoys photo-editing, it was really neat for me to learn how most of the functions in the programs and tools I use to edit photos work. However, it seems that
    4 KB (709 words) - 13:42, 3 May 2009
  • Reading guide (ECE438BoutinSpring2009)
    .../3.1_random_signals/3.1.6_estimating_correl.pdf Estimation of Correlation Functions]
    8 KB (1,226 words) - 11:40, 1 May 2009
  • ECE438 (BoutinFall2009)
    * [[ECE_438_Fall_2009_mboutin_basic2Dfunctions|Plots of some basic 2D functions]]
    7 KB (1,067 words) - 12:05, 25 June 2010
  • 4.1a Jared McNealis ECE302Fall2008sanghavi
    ...o just look at Pascal's triangle which is a visual representation of these functions. And through the properties of symmetry that the triangle possesses it is a
    347 B (59 words) - 18:40, 23 September 2008
  • Cheat2 ECE302Fall2008sanghavi
    Marginal Probability Density Functions:
    4 KB (722 words) - 13:05, 22 November 2011
  • Problem 1 - Gregory Pajot ECE302Fall2008sanghavi
    ...ntiating factorials, the only thing that would come to mind is using Gamma functions: http://en.wikipedia.org/wiki/Gamma_function
    317 B (56 words) - 18:06, 10 November 2008
  • Main Page ECE641Fall2008bouman
    ...scussion uses prefix notation instead of infix (so everything 'reads' like functions). It may be overkill, but I want to be notationally explicit. * However, I noticed that I made a mistake based on the bad use of dirac functions. To clarify, if boolean operators are a function of two reals, ie <math>\n
    3 KB (543 words) - 12:55, 12 December 2008
  • Note on Kiwi display with LaTeX MA181Fall2008bell
    Just wanted to point out that a number of one-line functions will render all tiny and ugly unless you go to "My Preferences" at the top
    590 B (102 words) - 12:50, 3 October 2008
  • Page 536 Problem 1 MA181Fall2008bell
    ...rt C, since e^a is valid for all real a, and since V(0) and A(0) are valid functions (i.e. V(0) does not give a no solution), the limit as t approaches zero fro
    1 KB (245 words) - 18:31, 6 October 2008
  • Useful Formulas MA181Fall2008bell
    ==Hyperbolic Functions and Identities== ...umbers of sines and cosines, unfortunately, as you end up with products of functions of different values. --[[User:Jmason|John Mason]]
    3 KB (584 words) - 10:12, 21 October 2008
  • A Tough Integral MA181Fall2008bell
    ...ometric substitutions (or at least, not easily) but I can using hyperbolic functions. See if you can solve Special points if you can solve it using trig functions.
    858 B (146 words) - 11:37, 1 November 2008
  • Homework 15 MA181Fall2008bell
    ...le with the integral, take a look at the derivatives of inverse hyperbolic functions. --[[User:Jmason|John Mason]]
    3 KB (531 words) - 09:53, 28 October 2008
  • A Baffling Fact MA181Fall2008bell
    ...would act like. As an imaginary power causes a real base to act like trig functions, an imaginary power should, possibly, cause an imaginary base to act like a ...en more fun finding the imaginary portions of hyperbolic and trigonometric functions. --[[User:Jmason|John Mason]]
    4 KB (634 words) - 05:44, 23 September 2011
  • Other Resources MA375Fall2008walther
    ...lanations of the mathematics behind probability, sequences, and generating functions. You may find it useful as a second source.
    880 B (140 words) - 19:11, 19 October 2008
  • RandomQuestions MA375Fall2008walther
    == Generating Functions == Could someone explain how generating functions work? I've had a lot of trouble with that material.
    609 B (96 words) - 20:39, 19 November 2008
  • Homework 1 ECE301Fall2008mboutin
    == Periodic and Non-Periodic Functions == * [[HW1.4 Adrian Delancy_ECE301Fall2008mboutin]]- Periodic and Non-Periodic Functions
    24 KB (3,272 words) - 06:58, 1 September 2010
  • HW1.4 Ben Laskowski - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= ==Periodic Functions==
    1 KB (206 words) - 07:09, 14 April 2010
  • HW1.4 Wei Jian Chan - Periodic and Non periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions ==
    645 B (90 words) - 07:11, 14 April 2010
  • HW1.4 Scott Erdbruegger - Periodic and Non periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    875 B (133 words) - 07:11, 14 April 2010
  • HW1.4 Max Paganini - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions ==
    1 KB (180 words) - 07:13, 14 April 2010
  • HW1.4 Derek Hopper ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    481 B (60 words) - 07:15, 14 April 2010
  • HW1.4 Ben Horst ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    1 KB (212 words) - 07:15, 14 April 2010
  • HW1.4 Hetong Li- Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    701 B (119 words) - 07:17, 14 April 2010
  • HW1.4 Jun Hyeong Park ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Example of Periodic functions ==
    519 B (70 words) - 07:18, 14 April 2010
  • HW1.4 Aishwar Sabesan ECE301Fall2008mboutin
    == Periodic Functions == ...a function which repeats over a period of time. A good example of periodic functions are:
    1 KB (228 words) - 07:10, 14 April 2010
  • HW1 tips ECE301Fall2008mboutin
    ==== Functions for interacting with wav files ====
    2 KB (255 words) - 08:14, 3 September 2008
  • HW1.3 Brian Thomas - Basics of Complex Numbers with Examples ECE301Fall2008mboutin
    ===Basic Functions===
    3 KB (436 words) - 12:44, 3 September 2008
  • HW1.4 Ryan Scott - Period and Non-Periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    574 B (85 words) - 07:19, 14 April 2010
  • HW1.3 Zachary Curosh - Euler's Formula ECE301Fall2008mboutin
    ...ows the relationship between the complex exponential and the trigonometric functions sine and cosine. The functions ''e''<sup>''x''</sup>, cos&nbsp;''x'' and sin&nbsp;''x'' of the (real) vari
    2 KB (362 words) - 07:05, 11 July 2012
  • Lecture4 ECE301Fall2008mboutin
    ==Periodic Functions==
    1 KB (265 words) - 06:12, 2 February 2011
  • HW1.4 Phil Cannon - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions in Continuous Time ==
    1 KB (163 words) - 07:19, 14 April 2010
  • Lecture5 ECE301Fall2008mboutin
    Define functions x, y, and z as follows: Define functions x, y, and z as follows:
    1 KB (226 words) - 06:23, 4 September 2008
  • HW1.4 Zachary Curosh - Periodic and Non-periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions in CT - The Tangent Function ==
    1,003 B (148 words) - 07:21, 14 April 2010
  • HW1.4 Caleb Tan ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    1 KB (205 words) - 07:20, 14 April 2010
  • HW1.4 Kathleen Schremser ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= === Periodic Functions ===
    1 KB (169 words) - 07:22, 14 April 2010
  • HW1.3 Austin Melnyk ECE301Fall2008mboutin
    ...These values come in very handy when they are shown through sine or cosine functions as imaginary numbers compared to their real counterparts that exist on the
    524 B (95 words) - 10:50, 4 September 2008
  • HW1.4 Tyler Johnson ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    994 B (164 words) - 07:20, 14 April 2010
  • HW1.4 Miles Whittaker - Periodic and Non-Periodic Examples ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    791 B (117 words) - 07:17, 14 April 2010
  • HW1.4 Sangwan Han - periodic and non-periodic function ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    742 B (104 words) - 07:23, 14 April 2010
  • HW1.4 Brian Thomas - Periodic Versus Non-Periodic Signals in Discrete Time ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    2 KB (279 words) - 07:18, 14 April 2010
  • HW1.4 Christen Juzeszyn ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    491 B (64 words) - 07:24, 14 April 2010
  • HW1.4 Nathan Najdek ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    732 B (100 words) - 07:24, 14 April 2010
  • HW1.4 Cory Ocker ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    640 B (106 words) - 07:25, 14 April 2010
  • HW1.1 Justin Kietzman ECE301Fall2008mboutin
    %Transform by x(2t). Replace t in all functions with 2*t
    4 KB (759 words) - 13:38, 4 September 2008
  • HW1.4 Tyler Houlihan ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Examples of periodic and non-periodic functions ==
    1 KB (210 words) - 07:25, 14 April 2010
  • HW1.4 Justin Kietzman ECE301Fall2008mboutin
    ==Period Functions==
    20 B (2 words) - 13:51, 4 September 2008
  • HW1.4 Jessica Sparks ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    879 B (140 words) - 07:25, 14 April 2010
  • HW1.4 Daniel Morris ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    883 B (143 words) - 07:24, 14 April 2010
  • HW1.4 Justin Kietzman - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    856 B (140 words) - 07:26, 14 April 2010
  • HW1.4 Paul Scheffler - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Non-Periodic Functions ==
    779 B (124 words) - 07:27, 14 April 2010
  • HW1.4 Naman Chopra ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= '''Periodic functions'''
    2 KB (274 words) - 07:27, 14 April 2010
  • HW1.4 Ronny Wijaya ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    634 B (89 words) - 07:28, 14 April 2010
  • HW1.4 Eric Zarowny ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    1 KB (192 words) - 07:28, 14 April 2010
  • HW1.4 Mark Frankosky ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions ==
    796 B (137 words) - 07:18, 14 April 2010
  • HW1.4 Travis Safford - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    ==Periodic Functions== Periodic functions are functions that repeat over and over for a specific period. More specifically, a func
    648 B (117 words) - 20:01, 4 September 2008
  • HW!.4 Vivek Ravi ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= ==Non Periodic Functions==
    835 B (141 words) - 07:26, 14 April 2010
  • HW1.4 Scott Hamilton - Periodic Functions ECE301Fall2008mboutin
    ==Periodic Functions== A great example for demonstrating periodic and non-periodic functions as well as differences between Discrete and Continuous Time is the sine fun
    873 B (149 words) - 17:24, 4 September 2008
  • HW1.4 Joseph Mazzei ECE301Fall2008mboutin
    == Periodic Functions == == Non-periodic Functions ==
    1 KB (221 words) - 12:21, 5 September 2008
  • HW1.4 Nicholas Gentry - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    == Periodic / Non-Periodic Functions ==
    897 B (156 words) - 05:16, 5 September 2008
  • HW1.3 Jayanth Athreya- Complex Numbers ECE301Fall2008mboutin
    ...a complex number into its real and imaginary parts using the real and imag functions: zr = real(z)
    1 KB (176 words) - 20:22, 4 September 2008
  • HW1.3 Jayanth Athreya- Complex Numbers In Matlab ECE301Fall2008mboutin
    ...a complex number into its real and imaginary parts using the real and imag functions: zr = real(z)
    1 KB (181 words) - 20:27, 4 September 2008
  • HW1.4 Carlos Leon - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    == Periodic Functions == ==Non-Periodic Functions ==
    438 B (72 words) - 21:53, 4 September 2008
  • HW1.4 Kofo Adafin - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    Remember that constant functions like Y=2 and the like are periodic for CT and DT.
    175 B (35 words) - 03:36, 5 September 2008
  • HW1.4 Kofo Adafin - Periodic and Aperiodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= Remember that constant functions like Y=2 and the like are periodic for CT and DT.
    685 B (102 words) - 07:16, 14 April 2010
  • HW1.5 Mark Frankosky ECE301Fall2008mboutin
    Signal Energy expended from <math>t_1\!</math> to <math>t_2\!</math> for CT functions is given by the formula <math>E = \int_{t_1}^{t_2} \! |x(t)|^2\ dt</math> For CT functions, the power of a signal from <math>t_1\!</math> to <math>t_2\!</math> is giv
    2 KB (295 words) - 06:34, 5 September 2008
  • HW1.4 Chris Cadwallader ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    1 KB (195 words) - 07:20, 14 April 2010
  • HW1.4 David Record ECE301Fall2008mboutin
    == Periodic Functions ==
    831 B (141 words) - 08:17, 5 September 2008
  • HW1.4 Naman Anand Verma ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    960 B (171 words) - 07:13, 14 April 2010
  • HW1.4 Nicholas Browdues - Periodic and Non-Periodic Functions ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    688 B (106 words) - 07:08, 14 April 2010
  • HW1.4 Sourabh Ranka-Periodic and non-periodic functions with examples ECE301Fall2008mboutin
    ==Periodic functions== ==Non-Periodic functions==
    566 B (79 words) - 09:16, 5 September 2008
  • HW1.4 Jeremiah Wise ECE301Fall2008mboutin
    == Periodic and Non-Periodic Functions ==
    563 B (104 words) - 09:23, 5 September 2008
  • HW1.4 Nicholas Block ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    838 B (138 words) - 07:22, 14 April 2010
  • HW1.3 Monil Goklani - Complex Numbers in a nutshell ECE301Fall2008mboutin
    *This formula links together the exponential function and the trigonometric functions. ...present cos and sin in terms of e in a way very similar to hyperbolic trig functions, which is why they hyperbolics are named sinh and cosh.
    2 KB (242 words) - 10:27, 5 September 2008
  • HW1.4 Hang Zhang - Periodic vs Non-period Functions ECE301Fall2008mboutin
    Periodic functions are functions that return the same to the same <math>y</math> value after a given interva Non-periodic functions are functions that do not return to the same value after a given interval. An example for
    597 B (102 words) - 10:11, 5 September 2008
  • HW1.4 Emily Blount ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    700 B (115 words) - 07:11, 14 April 2010
  • HW1.4 Ananya Panja ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= periodic functions, all with the same period.
    1 KB (253 words) - 07:04, 14 April 2010
  • HW1.4 Adrian Delancy ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    801 B (121 words) - 07:28, 14 April 2010
  • HW1.4 Amber Amber ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= A plot of f(x) = sin(x) and g(x) = cos(x); both functions are periodic with period 2π.A simple example of a periodic function is the
    2 KB (291 words) - 07:03, 14 April 2010
  • HW1.4 Shweta Saxena ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= ...umbers , so there is no concept analogous to the least period for constant functions.
    813 B (113 words) - 07:03, 14 April 2010
  • HW1.4 Spencer Erekson ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    306 B (40 words) - 07:21, 14 April 2010
  • HW1.4 David Hartmann ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions ==
    688 B (113 words) - 07:12, 14 April 2010
  • HW1.4 Allen Humphreys ECE301Fall2008mboutin
    =Periodic Functions= ==Functions==
    942 B (142 words) - 18:30, 5 September 2008
  • HW1.4 Jack Williams - Is your function a periodic function? ECE301Fall2008mboutin
    ...ity to +infinity. Similar to these functions are the inverse trigonometric functions (i.e. cosecant, secant, cotangent) that have different ranges and yet still
    940 B (153 words) - 18:27, 5 September 2008
  • HW1.4 Naveen John ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    567 B (81 words) - 07:12, 14 April 2010
  • HW1.4 Austin Melnyk ECE301Fall2008mboutin
    =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    446 B (74 words) - 07:22, 14 April 2010
  • HW2-E Ben Horst ECE301Fall2008mboutin
    ...u[n] would yield Y[n]=u[n-1] since u[n] is simply the sum of shifted delta functions, and linearity dictates that they could be sent through the system (produci
    2 KB (341 words) - 14:22, 11 September 2008
  • HW2.A Ronny Wijaya ECE301Fall2008mboutin
    [[Image:Periodicshifted_ECE301Fall2008mboutin.jpg|300x300px|multiple functions y = x being put together]]
    1,021 B (167 words) - 08:08, 10 September 2008
  • HW2-C Brian Thomas ECE301Fall2008mboutin
    In layman's terms, that means that a system (call it f) is linear if functions (call them x and y) can be sent through the system in either one of these t Say we take any two functions <math>x_1(t), x_2(t)</math> and any two variables <math>a,b \in \mathbb{C}<
    3 KB (544 words) - 19:05, 10 September 2008
  • HW2-D Brian Thomas ECE301Fall2008mboutin
    Since, in this case, the definition is not true for ''all'' functions and constants (The one above didn't work, for instance.), I can conclude th
    3 KB (581 words) - 20:22, 10 September 2008
  • HW2-C David Record ECE301Fall2008mboutin
    ...e output. Adding any number of linear combinations of complex numbers and functions of time together does not affect the linearity of the system. ...B*y2(t) .... extendable for any amount of complex numbers (A, B, C...) and functions (x1, x2, x3...)
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  • HW2-E Jacob Pfister ECE301Fall2008mboutin
    ...sum of shifted delta functions as input will yield a sum of shifted delta functions as output. In this system the fact that the desired step function output be
    1 KB (219 words) - 09:25, 11 September 2008
  • HW2-E Adrian Delancy ECE301Fall2008mboutin
    The system seems to work specifically on delta functions, so I take the approach of describing u[n] as an infinite sum of shifted de
    1 KB (245 words) - 15:10, 12 September 2008
  • HW2-E Sourabh Ranka ECE301Fall2008mboutin
    since u[n] is simply the summation of shifted delta functions we can say that
    1 KB (230 words) - 15:34, 12 September 2008
  • HW2c Steve Anderson ECE301Fall2008mboutin
    A linear system is a system for which if you can add two functions and multiply them by scalars then pass them through the system, it is equiv
    2 KB (245 words) - 13:50, 11 September 2008
  • HW2-A Eric Zarowny ECE301Fall2008mboutin
    ...r this part can be found [[HW1.4 Wei Jian Chan - Periodic and Non periodic Functions _ECE301Fall2008mboutin| here]].
    1 KB (186 words) - 16:07, 11 September 2008
  • HW2-E Tyler Houlihan ECE301Fall2008mboutin
    ...this means that if the <math>X[n]</math> inputs were changed to unit step functions <math>u[n]</math> , then the output will be a time shifted step function. F
    753 B (131 words) - 16:23, 11 September 2008
  • HW2.C Jeff Kubascik ECE301Fall2008mboutin
    We have two functions: <math>\,x_1(t), x_2(t)\,</math>. After applying the functions to the system <math>\,s(t)\,</math>, we get:
    2 KB (302 words) - 19:06, 11 September 2008
  • HW2-E Derek Hopper ECE301Fall2008mboutin
    ...definition of <math>u[n]</math>, which is just a sum of many shifted delta functions.
    869 B (161 words) - 07:37, 12 September 2008
  • HW2-A Mark Frankosky ECE301Fall2008mboutin
    DT function that was made by repeating nonperiodic CT functions
    1 KB (183 words) - 09:21, 12 September 2008
  • HW2-E Austin Melnyk ECE301Fall2008mboutin
    ...d that the unit step function can be shown by a summation of shifted delta functions over a series of - <math>\infty </math> to +<math>\infty</math>.
    796 B (155 words) - 13:37, 12 September 2008
  • 3.A Austin Melnyk - Memoryless system ECE301Fall2008mboutin
    a functions output can be shown by a squaring of the x(t) portion of the function, as w
    893 B (166 words) - 15:53, 14 September 2008
  • HW3.A Virgil Hsieh ECE301Fall2008mboutin
    ...function must not have any memory or foresight. Examples of these types of functions are: ...ends on <math>x(t)\!</math> reaction to a past or future time. Thus, these functions are systems with memory.
    1 KB (202 words) - 15:42, 19 September 2008
  • HW3.A Scott Erdbruegger ECE301Fall2008mboutin
    Given 2 functions x1 and x2, constants a and b, outputs y1 and y2, and system s
    408 B (87 words) - 07:27, 18 September 2008
  • HW3.C Brian Thomas ECE301Fall2008mboutin
    ...se the proprties of linearity - namely, that for constants a and b and for functions x and y, <math>f(ax+by) = af(x)+bf(y)</math> - to find an output given an i
    5 KB (729 words) - 13:12, 18 September 2008
  • HW3.A Tyler Houlihan ECE301Fall2008mboutin
    The functions z(t) are equal, so the system is time invariant.
    1 KB (244 words) - 14:40, 18 September 2008
  • HW3.A Tyler Houlihan - Time Invariant System ECE301Fall2008mboutin
    The functions z(t) are equal, so the system is time invariant.
    1 KB (244 words) - 14:42, 18 September 2008
  • HW3.B Nicholas Block ECE301Fall2008mboutin
    The two functions given to us happen to be part of the breakdown of cos(2t).
    349 B (68 words) - 06:58, 19 September 2008
  • HW3.A Kevin Hoyt Stable Systems ECE301Fall2008mboutin
    A system is stable if for all bounded input functions x(t)(system approaches +/- infinity) there exists an output y(t) where y(t)
    481 B (86 words) - 13:51, 19 September 2008
  • HW3.1 Wei Jian Chan ECE301Fall2008mboutin
    I take <math>\omega_o \,</math> as <math>\pi \,</math> since both functions have a period based on it.
    784 B (140 words) - 10:34, 20 September 2008
  • HW4.1 Wei Jian Chan ECE301Fall2008mboutin
    I take <math>\omega_o \,</math> as <math>\pi \,</math> since both functions have a period based on it.
    1 KB (197 words) - 10:59, 16 September 2013
  • Mimi's key points ECE301Fall2008mboutin
    ===Periodic versus non-periodic functions===
    2 KB (243 words) - 08:04, 21 November 2008
  • HW4.1 Daniel Morris ECE301Fall2008mboutin
    x(t) is written as a sum of exponential functions, so take the coefficients of those.
    2 KB (363 words) - 10:56, 16 September 2013
  • HW4.2 Tyler Houlihan ECE301Fall2008mboutin
    ...sure that <math>\,\frac{2\pi }{\omega_0}</math> is a whole number for both functions, so multiply it in this fashion:
    2 KB (374 words) - 14:27, 25 September 2008
  • HW4.1 Travis Safford ECE301Fall2008mboutin
    I contend that the <math>\omega_0=2</math> since both functions are periodic based on it.
    1 KB (205 words) - 10:56, 16 September 2013
  • HW4.4 Christen Juzeszyn ECE301Fall2008mboutin
    The following functions can be used to find the system function:
    842 B (168 words) - 14:55, 26 September 2008
  • HW5.4 Jacob Pfister ECE301Fall2008mboutin
    ...or not a signal is periodic if the signal is written as the sum of shifted functions. A good example of this type of problem would be problem number 1 from the
    343 B (61 words) - 14:22, 6 October 2008
  • HW5.1 Allen Humphreys ECE301Fall2008mboutin
    The final '''final''' answer comes when we realize the the delta functions multiplied by each of the exponentials are only valid when <math> \omega </
    8 KB (1,324 words) - 18:59, 8 October 2008
  • HW5.3 David Record ECE301Fall2008mboutin
    Since integrating dirac functions is extremely easy one can easily simplify to the following
    1 KB (184 words) - 12:47, 16 September 2013
  • HW6.3 Ben Laskowski ECE301Fall2008mboutin
    <math>H(z)=1+\frac{1}{z}</math> due to the two step functions.
    680 B (127 words) - 03:59, 15 October 2008
  • Joshua Long ECE301Fall2008mboutin
    ...of partial fraction expansion. Partial fraction expansion allows us to fit functions to the known ones given by the known Fourier Transform pairs table.
    2 KB (284 words) - 10:14, 24 October 2008
  • HW7 - Derek Hopper - Tips to handle absolute value and others ECE301Fall2008mboutin
    Since there a u[n] functions in this method, it might be a little easier to set the bounds of the summat
    1 KB (242 words) - 14:45, 24 October 2008
  • Carlos Leon ECE301Fall2008mboutin
    Fourier Transform of delta functions
    860 B (156 words) - 18:26, 24 October 2008
  • Justin Kietzman: Zero Order Hold Sampling ECE301Fall2008mboutin
    In other words, the samples are represented by unit-step functions.
    453 B (65 words) - 13:36, 9 November 2008
  • Collin Phillips: signal interpolation (Chapter 7) ECE301Fall2008mboutin
    == Interpolation using step functions ==
    409 B (76 words) - 13:12, 10 November 2008
  • Jonathan Morales: Chapter 7 ECE301Fall2008mboutin
    ...reconstruct" a signal is by zero-order interpolation which looks like step functions. ...d they asked him if he has ever heard of splines and peace-wise polynomial functions and that is what this is.
    808 B (160 words) - 16:15, 10 November 2008
  • Joseph Mazzei: Types of Interpolation ECE301Fall2008mboutin
    ...until the next sample is taken. A good example of this is a series of step functions. ...s are connected by a straight line. An example of this is a series of ramp functions.
    951 B (153 words) - 17:14, 10 November 2008
  • Adam Forkner ECE301Fall2008mboutin
    (3) The theorem is based on signal reconstruction utilizing a series of sinc functions each of which is infinite in time, which in reality must of course be trunc
    548 B (84 words) - 17:56, 10 November 2008
  • Tyler Houlihan - Sampling with zero-order hold ECE301Fall2008mboutin
    A signal can be sampled using piecewise step functions; The sample is extended directly across until the new sample is reached. Th ...t)=x(nT)h_1(t-nT)</math> , which is our result, the shifted piecewise step functions.
    2 KB (411 words) - 17:16, 17 November 2008
  • HW10 Brian Thomas- More Properties of Laplace ECE301Fall2008mboutin
    For functions x(t) and y(t) and constants a and b, <math>L(a*x(t) + b*y(t)) = a*L(x(t)) +
    542 B (108 words) - 19:40, 23 November 2008
  • Final ECE301Fall2008mboutin
    #The Unit Impulse and Unit Step Functions
    7 KB (1,017 words) - 10:05, 11 December 2008
  • 4.3 ECE301Fall2008mboutin
    The final '''final''' answer comes when we realize the the delta functions multiplied by each of the exponentials are only valid when <math> \omega </
    2 KB (290 words) - 12:06, 12 December 2008
  • Jesse's favorite theorem MA453Fall2008walther
    ...be an interval containing the point ''a''. Let ''f'', ''g'', and ''h'' be functions defined on ''I'', except possibly at ''a'' itself. Suppose that for every '
    705 B (130 words) - 06:06, 31 August 2008
  • Dan's Favorite Theorem MA453Fall2008walther
    ...,b]. Let F be an antiderivative of f, that is one of the indefinitely many functions such that, for all x in [a,b],
    317 B (66 words) - 11:22, 2 September 2008
  • Odd and Evens MA453Fall2008walther
    ...sorder but can someone give me a couple of examples with disjointed cyclic functions.
    434 B (74 words) - 18:25, 12 October 2008
  • What's special about this number? (kinda cool) MA453Fall2008walther
    130 is the number of functions from 6 unlabeled points to themselves. 166 is the number of monotone Boolean functions of 4 variables.
    13 KB (2,062 words) - 13:16, 29 November 2010
  • Chapter 17, Problem 4 MA453Fall2008walther
    ...)) and some number d (the lcm of the denominators of h(x)), to get two new functions which multiply to give f(x):
    1,019 B (215 words) - 17:49, 16 November 2008
  • Other Resources MA453Fall2008walther
    ...lanations of the mathematics behind probability, sequences, and generating functions. I really enjoy this book.
    877 B (141 words) - 07:55, 11 December 2008
  • ECE662:Glossary Old Kiwi
    ...wk and feature vector x, which is in n-dimensional space, the discriminant functions g1(x), g2(x), .., gk(x) where g#(x) maps n-dimensional space to real number ...eric property of a class of functions is one that is true of most of those functions, as in the statements, " A generic polynomial does not have a root at zero,
    31 KB (4,832 words) - 18:13, 22 October 2010
  • Clustering Old Kiwi
    ...tics of clusters. For well-separated clusters, CIFs are similar to density functions. But, when
    8 KB (1,173 words) - 12:41, 26 April 2008
  • Active Learning Old Kiwi
    is modeled as a composition of simple functions <math>f_i</math>'s
    647 B (106 words) - 11:08, 3 April 2008
  • ECE662:Homework 1 Old Kiwi
    '''Useful Matlab Functions''' --stephen.r.rudolph.1, Sun, 10 Feb 2008 21:38:45 -0500 ...ine to sample points from a multivariate normal density, this library of C functions may come in handy ..
    10 KB (1,594 words) - 11:41, 24 March 2008
  • Lecture 2 - Decision Hypersurfaces Old Kiwi
    ...e [[Combining Hypersurfaces _Old Kiwi| combined]] by multiplication of the functions which define them, not by intersection.
    5 KB (737 words) - 08:45, 17 January 2013
  • Lecture 5 - Discriminant Functions Old Kiwi
    - ''Discriminant Functions'' '''Discriminant Functions''': one way of representing classifiers
    6 KB (916 words) - 08:47, 17 January 2013
  • Lecture 6 - Discriminant Functions Old Kiwi
    =Lecture 6- Discriminant Functions= - Discriminant Functions
    9 KB (1,586 words) - 08:47, 17 January 2013
  • Lecture 8 - MLE, BPE and Linear Discriminant Functions Old Kiwi
    * Linear Discriminant Functions == Linear Discriminant Functions ==
    5 KB (792 words) - 08:48, 17 January 2013
  • Lecture 12 - Support Vector Machine and Quadratic Optimization Problem Old Kiwi
    ...use it to find corresponding kernel. Another method is to construct kernel functions directly by making sure that the function is a valid kernel which means it ..., summing two kernel functions, inserting kernel functions into some other functions and so on.
    8 KB (1,235 words) - 08:49, 17 January 2013
  • Lecture 13 - Kernel function for SVMs and ANNs introduction Old Kiwi
    [[Kernel Functions_Old Kiwi|Why kernel functions?]] == Kernel Functions ==
    8 KB (1,354 words) - 08:51, 17 January 2013
  • Lecture 15 - Parzen Window Method Old Kiwi
    ...ath> is [Dirac delta Function]. We do not want to average over dirac delta functions. Our objective is that <math>p_i(\vec{x_0})</math> should converge to true
    7 KB (1,212 words) - 08:38, 17 January 2013
  • Conjugate priors Old Kiwi
    If we denote L as the class of likelihood functions p(x|y), a class P of priors distributions p(y) is a conjugate
    931 B (161 words) - 08:46, 10 April 2008
  • Linear discriminant functions Old Kiwi
    *defining c linear discriminant functions == More on Linear Discriminant Functions ==
    2 KB (433 words) - 23:11, 10 March 2008
  • Parametric Estimators Old Kiwi
    ...on in the Bayesian estimation yields different estimates. Two popular cost functions are considered below:
    6 KB (995 words) - 10:39, 20 May 2013
  • Discriminant Function Old Kiwi
    ...h> and feature vector x, which is in n-dimensional space, the discriminant functions <math>g_1(x), g_2(x), \ldots, g_k(x)</math> where <math>g_\#(x)</math> maps Discriminant functions are used to define [[Decision Surfaces_Old Kiwi]].
    548 B (89 words) - 09:53, 10 April 2008
  • Scilab Old Kiwi
    There are several '''tool boxes''' of functions written by people all over the world adding extra functionality to Scilab.
    3 KB (376 words) - 20:45, 26 March 2008
  • Publications Old Kiwi
    ...al of Multivariate Analysis on Bayesian Estimators for Normal Discriminant Functions=== ...PRQ) classifier, in which the nonlinearity is achieved by employing kernel functions. The PRQ classifier generates a Rayleigh quotient based on a set of pairwis
    39 KB (5,715 words) - 10:52, 25 April 2008
  • Automated property verification Old Kiwi
    ==Basics: Systems as "functions that operate on functions"== ...on functions" way of thinking can be extended even further to the "system" functions (such as ``timeshift`` above) to prove things about systems.
    3 KB (495 words) - 18:39, 16 March 2008
  • Lecture 4 - Bayes Classification Old Kiwi
    The Bayes rules to minimize the expected loss([Loss Functions]) or "Risk":
    8 KB (1,360 words) - 08:46, 17 January 2013
  • Linear Discriminant Functions Old Kiwi
    -defining c linear discriminant functions
    2 KB (428 words) - 09:12, 7 April 2008
  • C/C++ resources Old Kiwi
    ...s like me, there is GSL (GNU Scientific Library) available that contains c functions for a variety of scientific computational tasks. The URL is http://www.gnu. Subject: How to call matlab functions from C
    782 B (110 words) - 17:39, 19 March 2008
  • Scilab - resources related to Scilab Old Kiwi
    There are several ''tool boxes'' of functions written by people all over the world adding extra functionality to Scilab.
    3 KB (379 words) - 10:20, 20 March 2008
  • TestZoom Old Kiwi
    convolution is a mathematical operator which takes two functions f and g and produces a third function that, in a sense, represents the amou ...ions results in a new function that is a product of the overlap of the two functions when one is flipped across the x-axis and then shifted from <math>{-\infty}
    821 B (137 words) - 16:22, 20 March 2008
  • Lab3 Old Kiwi
    I haven't used any additional functions for stacking purposes. I kept track of the stack pointer at an integer "i",
    3 KB (445 words) - 00:52, 22 March 2008
  • Lecture 20 - Density Estimation using Series Expansion and Decision Trees Old Kiwi
    where {<math>fj's</math>} are pre-determined class of functions
    6 KB (1,047 words) - 08:42, 17 January 2013
  • Real/Imaginary/Complex Signals - Clears up the Differences Old Kiwi
    And since x(t) can be written as the sum of these sine functions, x(t) can be written in the form x(t) = a(t) + jb(t) Where a(t) is going to
    2 KB (363 words) - 23:23, 15 April 2008
  • Lecture 21 - Decision Trees(Continued) Old Kiwi
    The following figure shows above-mentioned impurity functions for a two-category case, as a function of the probability of one of the cat
    6 KB (1,012 words) - 08:42, 17 January 2013
  • Hierarchical clustering Old Kiwi
    ...gorithm is also known as agglomerative methods, which proceed by series of functions of the n objects into groups.
    987 B (148 words) - 16:01, 6 April 2008
  • Generic Property Old Kiwi
    ...eric property of a class of functions is one that is true of most of those functions, as in the statements, " A generic polynomial does not have a root at zero,
    576 B (105 words) - 10:15, 7 April 2008
  • Kernel Functions Old Kiwi
    ...ationally cheaper than the explicit computation of the coordinates. Kernel functions have been introduced for sequence data, text, images, as well as vectors.
    413 B (65 words) - 10:18, 7 April 2008
  • Linear Discriminant Functions (LDF) Old Kiwi
    Functions that are linear combinations of x.
    340 B (63 words) - 01:40, 17 April 2008
  • Pazen Window Old Kiwi
    The estimate <math>p_n(x)</math> is an average of (window) functions. Usually the window function has its maximum at the origin and its values b
    1 KB (194 words) - 01:44, 17 April 2008
  • Parzen Window Old Kiwi
    The estimate <math>p_n(x)</math> is an average of (window) functions. Usually the window function has its maximum at the origin and its values b
    1 KB (194 words) - 01:54, 17 April 2008
  • Likelihood Principle Old Kiwi
    ...particular value of O is, if we know that X has a value x. Two likelihood functions are equivalent if one is a scalar multiple of the other.
    708 B (126 words) - 01:55, 17 April 2008
  • MDS Old Kiwi
    The goal is to find y_i's such that a cost functions is minimized such as the cost function below: Other alternatives of cost functions for the MDS can be found in the DHS book 2nd Ed, page 573. Since the gradie
    3 KB (582 words) - 12:55, 21 April 2008
  • Guide to Partial Fraction Expansion Old Kiwi
    Partial fraction expansion allows us to fit functions to the known ones given by the known Fourier Transform pairs table.
    4 KB (606 words) - 22:25, 1 May 2008
  • 1.27 (a,b,c,f) Old Kiwi
    ...nded then the output y(t) is also bound because it is the sum of two bound functions. ...und, the function y(t) is also bound since it is the multiple of two bound functions.
    3 KB (499 words) - 17:51, 16 June 2008
  • 2.11 Old Kiwi
    ...tau-5)} + e^{-3(\tau-3)}</math>. I think you then may need to add the step functions to the answer so that it is general for all cases: <math>y(\tau) = e^{-3(\t
    1 KB (286 words) - 23:53, 17 June 2008
  • Problem 6 Old Kiwi
    NO: The inverse transform of this signal is a set of delta functions that are not periodic. YES: Taking the FT of c(t) we get delta functions at <math>\omega_c</math> and <math>-\omega_c</math>.
    4 KB (739 words) - 20:48, 30 July 2008
  • Practice Exam 4 Old Kiwi
    ...TRUE AS STATED. IT HAS BEEN AMENDED. ONE MUST SUPPOSE THAT THE FAMILY OF FUNCTIONS IS POINT-WISE BOUNDED. '''
    308 B (53 words) - 11:27, 18 July 2008
  • ECE301:SanSummer08:Exam II Old Kiwi
    Lecture 15 pg. 18 gives details of the properties for these types of functions.
    4 KB (803 words) - 11:10, 22 July 2008
  • Exam 9.8 Old Kiwi
    By Fatou's Lemma, we get the upper bound is 1 and since all the functions <math>f_{n}\frac{}{}</math> are positive, we get the lower bound is 0. This
    880 B (148 words) - 11:03, 22 July 2008
  • Jets9.6 Old Kiwi
    ...math>f(x) = f(0)</math> or <math>f(x) = f(0)-1</math>, with two compatible functions:
    449 B (75 words) - 13:44, 22 July 2008
  • Lecture 2 - Decision Hypersurfaces OldKiwi
    Hypersurfaces are combined by multiplication of the functions which define them, not by intersection.
    5 KB (744 words) - 11:17, 10 June 2013
  • ECE662:BoutinSpring08 OldKiwi
    * [[Lecture 5 - Discriminant Functions_OldKiwi|Lecture 5 - Discriminant Functions]] * [[Lecture 6 - Discriminant Functions_OldKiwi|Lecture 6 - Discriminant Functions]]
    7 KB (875 words) - 07:11, 13 February 2012
  • HWK4MA425Fall2009
    that if two analytic functions on the complex plane have the same ...o the equation. The harder and more interesting part is to show that ONLY functions of that form are solutions. If you follow my hint above, you'll get an exp
    3 KB (560 words) - 05:47, 30 September 2009
  • Hw3ECE438F09boutin
    ...Signal_Reconstruction_Interpolation|Signal Reconstruction for band-limited functions]] -- [[User:pclay|pclay]] [[Rep and Comb functions : Lecture on 26/08/09]] -- [[kumar51]]
    4 KB (543 words) - 07:02, 25 August 2010
  • Homework 2
    Another note: if you are unfamiliar, you may define functions in matlab by including "function" on the first line of your .m file. For i
    3 KB (451 words) - 00:38, 2 July 2009
  • MA598R (WeigelSummer2009)
    * [[MA 598R pweigel Summer 2009 Lecture 2|Problem Set 2 - Functions of Bounded Variation and Measures]] * [[MA 598R pweigel Summer 2009 Lecture 3|Problem Set 3 - Measurable Functions]]
    2 KB (216 words) - 05:51, 11 June 2013
  • Yicheng Guo - Homework 3.6
    ...ne called "moore" depends only on states. That's kinda the same way as the functions property: memoryless. Examples of memoryless functions:
    671 B (126 words) - 16:15, 1 July 2009
  • HW 3.3 - Howard Ho ECE301 Summer2009
    As you see the constants in front of those step functions are then placed in front of <math>\mathcal{F}</math> and this reflect on th
    521 B (90 words) - 12:57, 8 July 2009
  • 6.5
    Hence, using the fact that absolutely continuous functions take null sets to null sets:
    3 KB (487 words) - 10:42, 20 July 2009
  • 6.5 MA598R
    Hence, using the fact that absolutely continuous functions take null sets to null sets:
    3 KB (582 words) - 05:49, 11 June 2013
  • Peer Legacy ECE202
    ...that made it more focussed towards laying foundation for ECE 301. Transfer functions, Laplace domain analysis, Convolution etc. are concepts used in all junior
    7 KB (1,297 words) - 11:41, 10 December 2011
  • Number one, ye scurvy dogs!
    ...^{n}}g(y)^{(1-q/r)p'}dy\bigg]^{1/p'}</math> (Holder's inequality for three functions)
    2 KB (429 words) - 05:56, 11 June 2013
  • Differential Equations Using CTFT - Jamis Martin
    ...terms by the time domain terms from above for all n's to the corresponding functions.
    732 B (154 words) - 20:53, 29 July 2009
  • Detailed Course Description
    * A knowledge of impulse response functions and convolution for linear systems.
    7 KB (1,153 words) - 14:06, 24 August 2009
  • MA530
    = MA530: Functions Of A Complex Variable I=
    267 B (37 words) - 06:30, 21 August 2009
  • Student summary CT DT Fourier transform ECE438F09
    Cosine and Sine Functions Rept and Comb Functions
    2 KB (375 words) - 04:11, 3 September 2009
  • Peer Legacy ECE302
    *ECE302 isn't terribly fun, but it is a necessity. Manipulating probability functions is important in other ECE topics such as noise modeling in signal processin ...introduced to solving problems using a probabilistic model. Most equations/functions you have encountered so far should be determinist (i.e. Ohm’s law or Newt
    10 KB (1,812 words) - 14:00, 16 December 2011
  • DiscussRemovingDiscussion
    ...separate concept. I like a simple interface with a few easy to figure out functions. Discussion pages, as far as I know, are simply wiki pages anyway.
    2 KB (277 words) - 07:59, 16 October 2009
  • Lecture Notes 9-9-09
    Lecture Notes 9/9/2009: Z-1 of Rational Functions and Sampling
    63 B (8 words) - 09:35, 22 September 2009
  • HW3 Abish
    ...by multiplying the given continuous time signal by a train of dirac delta functions separated by the time period T. This can be mathematically represented as
    3 KB (527 words) - 11:50, 22 September 2009
  • RGB Image disintegration & reconstruction
    ...unctions like indrgb,to convert my grayscale image to RGB.But ,none of the functions helped me to retrieve the RGB format.Then i came to know from hector(our as
    3 KB (463 words) - 21:40, 22 September 2009
  • Dknott-Philosophyofmath
    When a student is doing calculus, she can use a formula to integrate functions without referencing any of the set theoretic underpinnings of real numbers, ...a. And the equivalence of the expressions allows us to equate not only two functions, but the physical objects to which they refer. Mathematical objects inhabit
    27 KB (4,384 words) - 17:47, 26 October 2009
  • MA366-1
    ...cular solution to the differential equation, then, we have a ''family'' of functions. This is something you should get used to. We know that solving for y leads us to a family of functions. But what if I told you that I want the function y to satisfy the following
    4 KB (729 words) - 11:15, 26 October 2009
  • MA366-2
    Technically, we have two functions here: one corresponding to the positive root, and another corresponding to
    3 KB (632 words) - 10:56, 5 October 2009
  • MA366-3
    ...is that the functions p(t) and g(t) are NOT functions of y; they are ONLY functions of the independent variable t. There is a neat trick to solving these equat
    3 KB (613 words) - 15:22, 11 October 2009
  • MA366-5
    ...work that I did not want to mention initially for continuity reasons. The functions M, N, ∂M/∂y and ∂N/∂x must be continuous in a simply connected regi
    3 KB (669 words) - 10:38, 26 October 2009
  • Collective Table of Formulas
    *[[SignalDefinitions|Basic signals and functions]] (used in [[ECE301]], [[ECE438]])
    3 KB (294 words) - 15:44, 12 March 2015
  • Dknott-Philosophyofmath2
    ...lain the power of mathematics, I have called attention to the diversity of functions, the high level conceptual manipulation allowed once a sufficient amount of
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  • MA366-6
    It turns out that exponential functions of the form exp(rt) satisfy the equation. If we assume that y=exp(rt), then
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  • PowerSeriesFormulas
    ...ine-policy: -moz-initial;" colspan="2" | Taylor series of Single Variable Functions ...line-policy: -moz-initial;" colspan="2" | Series Expansion of Exponential functions and Logarithms
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  • SignalDefinitions
    '''Basic Signals and Functions''' ...pan="2" style="background: #e4bc7e; font-size: 110%;" | Basic Signals and Functions in one variable
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  • ECE 438 Fall 2009 mboutin basic2Dfunctions
    =Basic 2D Functions=
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  • Introduction to Wavelets
    **Basis Functions *A basis function can be thought of as a building block for functions.
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  • 2D Signals-Rect(x,y)
    *[[SignalDefinitions|Back to "Basic Signals and Functions" Table]] One important property of 2D functions is that they are separable, when they are a product of two 1D signals.They
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  • 11-13 lecture note
    Notes for Periodic functions: [[Media:PeriodicFunctions.pdf‎]]
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  • HWK9MA425Fall2009
    ...an easier solution can be done using the identity theorem. Consider the functions <math>g\left(\frac{1}{n}\right) = \frac{1}{n^2}</math> for even <math>n</ma
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  • Peer Legacy ECE301
    ...actually appreciate the subject, you need to visualize what happens to the functions as you do stuff to them. In other words, don't see it as a bunch of transfo ...e mathematics behind those concepts,things will be easier.Complex analysis,functions,limits,geometric series lies in the heart of signals.Plotting various signa
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  • MA 375 Spring 2010 Walther Week 5
    ...ize in Design and Fluid Dynamics, so much of my life is the application of functions rather than the derivation of such. I must also resist the huge temptation
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  • 2010 Spring ECE 662 mboutin
    *[[EE662Sp10Semimetric|Distance Functions Where Triangle Inequality Doesn't Hold]]
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  • MA341 HW discussion Section 2 4
    functions <math> f(x)\,</math> and <math> g(y)\,</math> closely.
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  • ECE662 hw1 discussions
    ...function together with integrate). Other than that, I'll list the packages/functions here that I think would be useful for finishing this homework in R.
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  • OutlineECE662S10
    5. Discriminant functions 9. Non-Linear Discriminant functions
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  • EE662Sp10SymmetricGroup
    This set of functions is actually closed under function
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  • EE662Sp10GroupAction
    ...<math>G = S_n</math>, a symmetric group, since the elements are themselves functions on <math>\{1, 2, \ldots, n\}</math> (or an arbitrary n element set), it is
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  • ECE662 hw3 discussions
    If you are using R for this HW then you might find these functions of interest for the non-parametric density estimation: k-Nearest neighbors and nearest neighbor methods are implemented in these two functions:
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  • Project ROAR:Rhea Online Testing Resource
    ...dual form handling pages, it is much cleaner to organize the web app using functions. ...arately to display certain html code that can be neatly tucked away within functions.
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  • Test2InfoMA341Spring2010
    4.1 Limits of functions. Definition of the limit. Definition of a cluster point. Theorems 4.1.2 and ...inuous on a set. Examples of continuous functions. Dirichlet's and Tomae's functions.
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  • ECE662Sp10 MakeupLectureNotes01
    '''Note:''' We could minimize other cost functions, e.g.<br>
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  • Probability Formulas
    ...und-inline-policy: -moz-initial;" colspan="2" | Properties of Probability Functions
    3 KB (491 words) - 12:54, 3 March 2015
  • Lecture6ECE662S10
    ...onship to [[Bayes_Decision_Theory|Bayes rule]]. We focused on discriminant functions when the class densities are normal.
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  • Hw1periodicECE301f08profcomments
    =[[User:mboutin|Instructor]]'s Comments on periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|homework 1]], [[ECE301]])= ...r, in this course, I would like to begin thinking of periodic/non-periodic functions differently.
    4 KB (736 words) - 17:25, 23 April 2013
  • Lecture25ECE662S10
    ...but mathematically convenient, definition of ANN involving composition of functions was given. Comments regarding this way of presenting the material are welco
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  • Artificial Neural Networks
    ...ernel_function_for_SVMs_and_ANNs_introduction_OldKiwi|Lecture 13 on Kernel functions for SVM and ANN introduction]] ...ernel_function_for_SVMs_and_ANNs_introduction_OldKiwi|Lecture 13 on Kernel functions for SVM and ANN introduction]]
    1 KB (146 words) - 10:47, 16 April 2010
  • Lecture26ECE662S10
    ...to appreciate the fact that the parameters to optimize occur within linear functions in the expression for the cost function, as well as the fact that 3 layers
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  • Snikitha ListECE202
    9. Transfer Functions&nbsp;&nbsp;&nbsp;&nbsp;(used in [[ECE382|ECE 382]])<br/><br/>
    6 KB (873 words) - 17:02, 15 April 2013
  • Snikitha ListECE270
    <br/>ii. an ability to represent Boolean functions in standard forms, to map and minimize them, and to implement them as combi <br/><br/>12. Karnaugh (“K”) maps, representation of logic functions with K-maps
    3 KB (359 words) - 16:57, 15 April 2013
  • Snikitha ListECE302
    ...ibutions. Estimation of means, variances. Correlation and spectral density functions. Random processes and response of linear systems to random inputs.<br/><br/ ...Probability Density Function (used in ECE 438), Probability Mass Function, functions of random variables
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  • Discriminant Functions
    =Discriminant Functions=
    111 B (13 words) - 08:47, 11 May 2010
  • Lecture7ECE662S10
    In Lecture 7, we continued discussing [[Discriminant_Functions|discriminant functions]] for normally distributed features. More info can be found [[Bayesian_Deci
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  • 598analysis-missingproblems
    .../math>, let <math>f_n:I\to \mathbb{R}, I =[a,b]</math> be a subsequence of functions satisfying the following: If <math>\{x_n\}</math> is a Cauchy sequence in <
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  • Erdos-Woods Problem
    ...ction suggests that the ABC conjecture could stated for the ring of entire functions. I seems plausible that it could even be proven by one of our friendly neig ...rently ABC conjecture has already been proven for the field of meromorphic functions. This was the topic of a recent Séminaire Bourbaki, documented [http://arx
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  • 2010 Fall ECE 301 Pollak
    *[[Hw1periodicECE301f08profcomments|Two things you should know about periodic functions]] (from a previous year) *[[SignalDefinitions|basic signals and functions]]
    2 KB (211 words) - 05:39, 26 September 2011
  • Lecture2ECE438F10
    ...frequency transform in terms of <math>\omega</math>. The "rep" and "comb" functions were introduced. Some subtleties regarding the rescaling of the Dirac delta
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  • Lecture3ECE438F10
    ...hird lecture, we obtained the CT Fourier transform of the "comb" and "rep" functions. We also defined the DT Fourier transform and computed the DTFT of a comple
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  • Recommended exercise Fourier series computation
    == Case 1: For some periodic functions, the Fourier series coefficients must be obtained by integration == == Case 2: Some periodic functions (e.g. sine and cosine) can be directly expanded into a linear combination o
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  • Recommended exercise Fourier series computation DT
    ==Case 1: For some periodic functions, the Fourier series coefficients must be obtained using the above summation ==Case 2: Some periodic functions (e.g. sine and cosine) can be directly expanded into a linear combination o
    2 KB (355 words) - 09:44, 29 December 2010
  • Partial Fraction Expansion
    ...of partial fraction expansion. Partial fraction expansion allows us to fit functions to the known ones given by the known Fourier Transform pairs table.
    4 KB (602 words) - 13:49, 3 March 2015
  • Midterm1 discussion ECE438F10
    ...n(x+y)+sin(x-y))/2". You can then simply take the system as 2 separate sin functions.
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  • Landis' Matlab Page
    ...ol for my work in signal processing engineering. Its extensive library of functions and seamless incorporation of graphical visualizations makes it incredibly ...creates a single column) can help format data for a matrix multiply. The functions repmat and kron are also good for duplicating vectors/matrices for batch ma
    4 KB (602 words) - 09:32, 6 October 2010
  • HWK7MA527Fall2010
    ...maybe someone can answer me this: At the end of the evaluation of the H(s) functions through partial fractions, shouldn't
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  • Practice Question 4 ECE438F10
    ...] is actually a function of t (because a comb is the multiplication of two functions of t, namely the signal x(t) and an impulse train p(t) . </span>
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  • DTFT rectangular window
    *[[DTFT_Window_Function|Graphs of the DTFT of centered window functions with different length]]
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  • Decision Theory Glossary ECE662Spring2008
    ...wk and feature vector x, which is in n-dimensional space, the discriminant functions g1(x), g2(x), .., gk(x) where g#(x) maps n-dimensional space to real number ...eric property of a class of functions is one that is true of most of those functions, as in the statements, " A generic polynomial does not have a root at zero,
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  • LegendreMA527Fall2010
    so they are even functions. so they are odd functions.
    2 KB (404 words) - 19:28, 26 October 2010
  • Table of derivatives
    ...-moz-initial; font-size: 110%;" colspan="3" | Derivatives of trigonometric functions ...; font-size: 110%;" colspan="3" | Derivatives of exponential and logarithm functions
    6 KB (908 words) - 17:40, 27 February 2015
  • SA1050
    * [[Discriminant Functions]]
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  • HWK11MA527Fall2010
    ...by 2 when changing limits from -inf..inf to 0..inf. That is only for even functions. I am with you though on the pi/2 part. Not really sure why that just drops
    8 KB (1,441 words) - 15:52, 10 November 2010
  • Table of definite integrals
    ...ial; font-size: 110%;" colspan="2" | Definite Integral containing circular functions
    6 KB (920 words) - 12:21, 24 February 2015
  • ECE 600 Prerequisites Basic Math
    ='''1.1.4 Relations between cosine, sine and exponential functions'''=
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  • ECE 600 General Concepts of Stochastic Processes Definitions
    There is nothing random about the sample functions. The randomness comes from the underlying random experiment.
    16 KB (2,732 words) - 11:47, 30 November 2010
  • HWK14MA527Fall2010
    ...ight that it is -inf to inf. Sometimes the integrals are zero because the functions inside are odd, and sometimes you can reduce an integral from minus infinit
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  • ECE600 QE 2002 January
    ...(t)</math> and <math class="inline">w\left(t\right)</math> be measurable functions defined on the real numbers. Further, let <math class="inline">w\left(t\rig
    9 KB (1,534 words) - 08:33, 27 June 2012
  • Table of tylor series
    ...ine-policy: -moz-initial; font-size: 110%;" colspan="2" | Taylor series of functions of one variable ...z-initial; font-size: 110%;" colspan="2" | Expansion Series of Exponential functions and logarithms
    4 KB (430 words) - 13:42, 22 November 2010
  • Table of tylor Series
    ...ine-policy: -moz-initial;" colspan="2" | Taylor series of Single Variable Functions ...line-policy: -moz-initial;" colspan="2" | Series Expansion of Exponential functions and Logarithms
    9 KB (1,144 words) - 09:38, 23 November 2010
  • ECE600 QE 2003 January
    ...</math> and <math class="inline">g\left(\cdot\right)</math> are suitable functions such that <math class="inline">E\left[f\left(\mathbf{V}\right)\right]<\inft
    6 KB (916 words) - 08:26, 27 June 2012
  • Inner Products MA265F10Walther
    Another type of inner products can be seen in continuous functions such as in the form of:
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  • LMorphisms MA265F10Walther
    Taking derivatives and taking the inner product are functions that give linear transformations.
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  • Sections 3.1 - 3.5
    ...han or equal to two in a set then there are ''n''!/2 even and ''n''!/2 odd functions.
    4 KB (687 words) - 12:45, 16 December 2010
  • Sections 3.1 - 3.2
    ...han or equal to two in a set then there are ''n''!/2 even and ''n''!/2 odd functions.
    4 KB (728 words) - 07:22, 3 July 2012
  • 2011 Spring ECE 301 Boutin
    ...gnals ECE301S11|What is the Nyquist rate of the multiplication of two sinc functions?]]
    18 KB (2,485 words) - 10:36, 11 November 2011
  • HW1 ECE301 Spring2011 Prof Boutin
    ...now this song, you can find it on Youtube. (You can make use of the Matlab functions '''''wavplay''''' or '''''sound''''' and function '''''wavwrite'''''.) ...song contain a message? If so, what is it? (You can make use of the Matlab functions '''''wavread''''', '''''wavwrite''''', and '''''flipud'''''.)</li>
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  • Here
    ==== Functions for interacting with wav files ====
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  • Lecture3ECE301S11
    ...ctions_ECE301Fall2008mboutin|Animated example of periodic and non-periodic functions]] (from Fall 2008) *[[Hw1periodicECE301f08profcomments|Instructor's comments regarding periodic functions, from ECE301 Fall 2008]]
    2 KB (279 words) - 06:28, 2 February 2011
  • Discussion HW2 ECE301 Spring2011
    ...to evaluate the sum. In particular, you do not need the peak value of that functions. Try to guess the period directly by looking at the sum. If you have no id And for question 4, are we still using the tempo? so my guess is use step functions to cut out the rhythm we want? <span style="color:green"> (Yes, that's the
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  • How to evaluate this sum ECE301S11
    ...e squared is the cosecant squared. Any formula you know for the real trig functions also holds in the complex case. The antiderivative of cosecant squared is
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  • Lecture5ECE301S11
    Today we covered the definition of the unit step and impulse step functions in DT and in CT. We covered their relationship "both ways" (, i.e. how to w
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  • ECE301 signals systems learning material
    ...Most_General_Convolutions_%28CT%29|General formula for convolving two step functions multiplied by exponential]] *[[HW1.4 Ben Laskowski - Periodic and Non-Periodic Functions ECE301Fall2008mboutin|Animated example of periodic function]]
    6 KB (818 words) - 06:12, 16 September 2013
  • ECE301 signals systems formulas
    *[[SignalDefinitions|basic signals and functions]]
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  • Signals and systems practice problems list
    ...gnals ECE301S11|What is the Nyquist rate of the multiplication of two sinc functions?]]
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  • HW6 ECE301 Spring2011 Prof Boutin
    ...transform of either the constant function 1 or of the complex exponential functions, give no more than 3 points total for this part.
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  • ECE301inBME
    ...;These genes can be matched to their potential phenotypes (physical traits/functions) using databases of sequences.&nbsp; ...of digital control systems, and system models on the z-domain (z-transfer functions) and on the time domain (state variable representations.) The objectives fo
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  • Textbook Review: Fundamentals of Signals & Systems MJR
    ...ch as sine or complex exponential. However, for the unit step and impulse functions, the author goes into a lot of detail. A lot more of the math behind these
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  • Nyquist rate after multiplicating sinc signals ECE301S11
    ...(1/2pi) times the convolution of the Fourier transforms of the individual functions.
    2 KB (336 words) - 10:31, 11 November 2011
  • Textbook Review: Fundamentals of Signals
    ...uch as sine or complex exponential. However, for the unit step and impulse functions, the author goes into a lot of detail. A lot more of the math behind these
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  • Isomorphisms - Brief Description and Application
    We now must explain what one-to-one and onto functions are. IMPORTANT - examples above are examples of one-to-one and onto functions. They are NOT examples of isomorphs.
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  • Book Review/Bhakti
    ...properties of both CT and DT LTI systems. Shaum’s also introduces eigen functions of DT LTI systems and difference equations. This chapter is followed by 65
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  • Practice CTFT computation rect and sinc ECE438F11
    Compute the Continuous-time Fourier transform of the two following functions:
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  • Lecture2ECE438F11
    ...rding the rescaling of the Dirac delta were observed. The "rep" and "comb" functions were introduced, and in the [[Lecture3ECE438F11|next lecture]], we shall co
    2 KB (285 words) - 12:48, 21 September 2011
  • Lecture3ECE438F11
    ...hird lecture, we obtained the CT Fourier transform of the "comb" and "rep" functions. We also defined the DT Fourier transform and noted the fact that it is a a
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  • How to Enter Math in Rhea
    ''This page shows many of the functions and symbols that you are likely to need while working on the practice probl ...wikipedia.org/wiki/Help:Formula#Functions.2C_symbols.2C_special_characters Functions, Symbols, and Special Characters].
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  • Formal Systems
    ...(another formal system reflecting of the world). It appears different, and functions under a different set of rules, but the information in one form in not lost
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  • 2011 Fall ECE 301 Pollak
    *[[Hw1periodicECE301f08profcomments|Two things you should know about periodic functions]] (from a previous year) *[[SignalDefinitions|basic signals and functions]]
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  • CT and DT Signals and Systems
    ...ete time signal we really mean continuous time functions and discrete time functions.
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  • Obtain CSFT complex exponential
    ...red">Instructor's comment: Please, please, please, do not try to integrate functions that are not integrable. This approach does not work. -pm </span>
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  • Compute CSFT of 2D sinc function ECE438F11
    ...ing the fact that <math>sin(-x)=-sin(x)</math> and since there is two sine functions multiplied together we get that
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  • Compute DSFT product two step functions ECE438F11
    First off notice that this equation can easily be separated into two functions <math>g[m]=2^{-m}u[m]</math> and <math>h[n]=2^{-n}u[n]</math> where <math>f
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  • Audio Signal Generating and Processing Project, Previous method
    ...nics. The intention is trying to produce similar amplitude harmonic cosine functions, and mix all the waveform together to construct a simulated instrument voic
    6 KB (931 words) - 20:33, 15 November 2011
  • Lecture1ECE662S12
    ...in order to make such a choice, we may need to estimate continuous-valued functions or a set of real-valued parameters, as we will see later.)
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  • Linear programming MA265F11Walther
    IE 535 - Linear Programming. 
Optimization of linear objective functions subject to linear constraints. Development of theory and algorithmic strate
    5 KB (736 words) - 09:14, 11 April 2013
  • Matrix multiplication MA265F11Walther
    To solve for variables and to get probabilities are some of the main functions in the real world.
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  • On "Pi is Wrong" and the Tau Movement
    ...l, you may not have if we had adopted <math> \tau </math>! Periods of trig functions, sine and cosine, can be expressed as one tau!
    5 KB (820 words) - 08:33, 11 December 2011
  • ECE538
    *[[SignalDefinitions|Basic signals and functions]]
    1 KB (152 words) - 12:17, 24 February 2015
  • On Solving Cubic Function
    == On Solving Cubic Functions Equation ==
    2 KB (311 words) - 10:41, 15 December 2011
  • Coding for Android on Windows - Image processing - Java Code
    ...ication on the phone, we can use these ones and do not have to write these functions on our own. To open and use another application from your own one, you have
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  • Lecture2ECE662S12
    ...mple to illustrate the concepts of "decision boundaries" and "discriminant functions". Our example only included one feature (hair length), so the corresponding As a warning to NOT use decision boundaries/discriminant functions for all problems, we considered the problem of determining the gender of a
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  • Lecture5ECE662S12
    ...izing the risk (i.e., the expected loss). We also covered the discriminant functions that could be used to implement such a rule.
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  • Prefessional statement johnjachna ECE400S12
    ...t and to ensure that we were following laws and guidelines established for functions. In addition to these duties, the risk manager is also a member of the chap
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  • Professional statement YiYue ECE400S12
    ...n of the Nervous System, which covers neuro-anatomy, how sensing and motor functions work, electrical and magnetic stimulation, neuro-imaging, disorders of the
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  • Derek Logan Hancock-Professional Statement
    ...numbers together, than I do not need to import string to do simple string functions in C. When I write any program, now I know what I could should write mysel
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  • Lecture 4 - Bayes Classification OldKiwi
    The Bayes rules to minimize the expected loss([Loss Functions]) or "Risk":
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  • Lecture 6 - Discriminant Functions OldKiwi
    - Discriminant Functions ...are, as long as they are the same for all classes, the final discriminant functions would be linear (square terms dropped).
    10 KB (1,604 words) - 11:17, 10 June 2013
  • Lecture 5 - Discriminant Functions OldKiwi
    - ''Discriminant Functions'' '''Discriminant Functions''': one way of representing classifiers
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  • Lecture 8 - MLE, BPE and Linear Discriminant Functions OldKiwi
    * Linear Discriminant Functions == Linear Discriminant Functions ==
    6 KB (833 words) - 11:16, 10 June 2013
  • Lecture 12 - Support Vector Machine and Quadratic Optimization Problem OldKiwi
    ...use it to find corresponding kernel. Another method is to construct kernel functions directly by making sure that the function is a valid kernel which means it ..., summing two kernel functions, inserting kernel functions into some other functions and so on.
    8 KB (1,278 words) - 11:19, 10 June 2013
  • Lecture 13 - Kernel function for SVMs and ANNs introduction OldKiwi
    [[Kernel Functions_OldKiwi|Kernel Functions]] == Kernel Functions ==
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  • Lecture 15 - Parzen Window Method OldKiwi
    ...ath> is [Dirac delta Function]. We do not want to average over dirac delta functions. Our objective is that <math>p_i(\vec{x_0})</math> should converge to true
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  • MGFs of LCs of independent RVs mhossain
    ...th> are <math>n</math> independent random variables with moment generating functions <math>M_{Xi}(t)</math>, <math>i = 1,2,...,n</math>, and if <math>Y</math> i ...s of random variables can be written as the product of the expectations of functions of random variables (proof). <br/>
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  • Lecture 9
    ...your program.<br>It is a bad idea to allocate and free memory in different functions. You will run into trouble later in your coding experience when your progra
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  • Lecture 20 - Density Estimation using Series Expansion and Decision Trees OldKiwi
    where {<math>fj's</math>} are pre-determined class of functions
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  • Lecture 21 - Decision Trees(Continued) OldKiwi
    The following figure shows above-mentioned impurity functions for a two-category case, as a function of the probability of one of the cat
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  • MA 375 Spring 2012 Walther Course Notes
    | [[Media:Walther_MA375_01March2012.pdf| Power Series and Generating Functions]] | [[Media:Walther_MA375_13April2012.pdf| Chromatic Functions]]
    3 KB (418 words) - 06:38, 21 March 2013
  • Lecture 11 ECE264F12Lu
    n 203 4(all the functions are gone and return to the main function after get the value of n)
    3 KB (327 words) - 05:23, 11 July 2012
  • Lecture 13 ECE264F12Lu
    * keep functions short
    7 KB (1,158 words) - 05:24, 11 July 2012
  • Lecture 15 ECE264F12Lu
    Points will be taken if your program has “gigantic” functions Functions
    6 KB (987 words) - 05:25, 11 July 2012
  • LECTURE NOTES 2/28 Kailu Song
    functions
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  • Parametric Estimators OldKiwi
    ...on in the Bayesian estimation yields different estimates. Two popular cost functions are considered below:
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  • Lecture 18 ECE264F12Lu
    This functions accepts a number n. n=0 is a special case. For other numbers this is a recu
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  • Hw3 ECE662 S12
    Discriminant Functions<br/>
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  • Lecture25ECE264Spring2012
    Thing_merge deserves a special mention since all the other functions were coverd by the Professor in class.
    4 KB (583 words) - 05:27, 11 July 2012
  • Lecture27ECE264Spring2012
    A parser creates a binary tree and then implements the functions. Parsing is one if the first things that a compiler does.
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  • Getting data through CRSP ECE695S12
    Once we are here, we can use a lot of utility functions to get the job done relatively easily. A good place to look for relevant co 1. Obtain the corresponding PERMNO for the GVKEY using various utility functions available for CRSP database.
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  • ECE PhD QE CNSIP Jan 2002 Problem1
    ...(t)</math> and <math class="inline">w\left(t\right)</math> be measurable functions defined on the real numbers. Further, let <math class="inline">w\left(t\rig
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  • ECE-QE CS5-2011 solusion-1
    \text{Here, the student uses the Separability property of the sinc and rect functions.}
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  • 2012 ECE 301 Dr. Love
    *[[SignalDefinitions|basic signals and functions]]
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  • Math Squad infinity review of set theory mhossain S13
    :::↳ [[Math_Squad_infinity_review_of_set_theory_function_mhossain_S13|Functions]] ...sely define concepts such as real numbers, points in space, and continuous functions. In addition, Cantor's theory of sets provided startling new insight into t
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  • DYL Learning Mathematica First Hours
    1. All mathematica functions are capitalized
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  • DYL Utility and Futility of Math
    ...ics is not useful. Beyond its excellent use in counting coins, mathematics functions as
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  • Accelerometer
    ...lay was only made possible by implementing efficient ''atan'' and ''sqrt'' functions as outlined above. [6] A. Ukil et al., "Fast Computation of ''arctangent'' Functions for Embedded Applications: A Comparative Analysis," ''IEEE ISIE 2011''. &lt
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  • Camera LCD Interfacing
    ...as the total frame transfer time (pixel clocking + additional housekeeping functions) was below 16.5ms, 60Hz framerate could be achieved.
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  • LectureScheduleECE302Spring13 Boutin
    *2.2 Functions of a discrete random variable
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  • Practice Question definition set ECE302S13Boutin
    Because none of the above periodic functions are injective (ie multiple distinct inputs (t) may result in same output (x
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  • 2013 Spring ECE 301 Krogmeier
    **[[SignalDefinitions|basic signals and functions]]
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  • Honors project 1 ECE302S12
    |[[Discriminant Functions For The Normal(Gaussian) Density|Discriminant Functions For The Normal(Gaussian) Density - Part 1]] |[[Discriminant Functions For The Normal(Gaussian) Density - Part 2]]
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  • Lab 1 Additional Information ECE637 Spring2013 Bouman
    ...t is probably wrong. In this case, you want to first make sure your MATLAB functions shows the right result before C. Then check all your buffers with compilati
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  • Lecture11 blog ECE302S13 Boutin
    ...riable, and the Poisson random variable. We then moved on to the topic of "functions of a random variable". The formula for obtaining the probability mass funct
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  • ECE301 Spring2013 EC1
    ...culated here was just the (additive) superposition of time-shifted impulse functions. And because our input is 1 for all n, each of those superimposed impulse ...convolution is simply the summation of all areas under the overlaid stair functions for a given time step (eg time from 1 to 2).</center>''
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  • Practice Question joint from marginals independent variables ECE302S13Boutin
    ...ity function can be represented as the product of the two marginal density functions:<br> Thus, the joint probability function is simply the two marginal density functions multiplied together:
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  • ECE301bonus2
    ...ed in Matlab. Use the following [[Media:Lena.jpg|image]]. (Hint. Use these functions: imread, fspecial, fftshift, fft2, imfilter, imshow, surf).
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  • QE637 T Pro2
    where <math> g(m)</math> and <math> f(n)</math> are 1D functions. c) How can the functions <math> g(m)</math> and <math> f(n)</math> be used to compute <math> y(m,n)<
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  • Bayesian Decision Theory - Continuous Features
    ..., and is used to convert a probability determination into a decision. Cost functions enables us to look at situations where certain errors are more costly than ...>1</sub>'',...,''v<sub>m</sub>''}. In these cases, the probability density functions become sums of the form
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  • Math squad
    *[[limits_of_functions|Limits of Functions]] by [[user:yehm| Michael Yeh]]
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  • Math squad 2014
    *[[limits_of_functions|Limits of Functions]] by [[user:yehm| Michael Yeh]]
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  • Lecture26 blog ECE302S13 Boutin
    ...context of set-theoretic probability theory. We then covered the topic of "functions of a random variable". More specifically, we explained and illustrated a tw
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  • ECE301 Bonus 2 Li Pang Mo
    A theorem states, if the functions p1, p2 …..,pn, and G are continuous on the open interval I, then there ex
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  • ECE 301 Spring 2013 mtgyure Bonus2 Question2
    ...should be implemented in Matlab. Use the following image. (Hint. Use these functions: imread, fspecial, fftshift, fft2, imfilter, imshow, surf).''
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  • ECE637 optical imaging systems space domain models S13 mhossain
    At this point, let's define two other functions to characterize the performance of an imaging system. People are often inte ...ction in the space domain (less blur). Conversely, systems with narrow MTF functions will have lower resolution corresponding to a wider PSF function in the spa
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  • Discriminant Functions For The Normal(Gaussian) Density
    = Discriminant Functions For The Normal Density - Part 1 = &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Before talking about discriminant functions for the normal density, we first need to know what a normal distribution is
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  • Lab3 OldKiwi
    I haven't used any additional functions for stacking purposes. I kept track of the stack pointer at an integer "i",
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  • ECE662 Pattern Recognition Decision Making Processes Spring2008 sLecture collective
    * [[Lecture 5 - Discriminant Functions_OldKiwi|Lecture 5 - Discriminant Functions]] * [[Lecture 6 - Discriminant Functions_OldKiwi|Lecture 6 - Discriminant Functions]]
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  • Decision Surfaces OldKiwi
    * [[Discriminant function_OldKiwi|Discriminant Functions]]
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  • Discriminant Functions For The Normal(Gaussian) Density - Part 2
    = Discriminant Functions For The Normal Density - Part 2 = ...nbsp;&nbsp;&nbsp;&nbsp; Continuing from where we left of in [[Discriminant Functions For The Normal(Gaussian) Density|Part 1]], in a problem with feature vecto
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  • Practice Question what is stationary increment property sum process ECE302S13
    ...ons. This could be summarized by saying that the probability distribution functions of a random process are only dependent on the size of the interval.
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  • Methods of generating random variables
    === b) Using MATLAB Functions === === b) Using MATLAB Functions ===
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  • Applications of Poisson Random Variables
    ...n random variables are often used to model scenarios used to generate cost functions in optimization problems. For example, the economic lot scheduling problem
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  • CorrelationvsCovariance
    ...yone for that matter) can quickly understand the differences between these functions. Feel free to comment and ask questions
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  • Math Squad infinity mhossain S13
    :::↳ [[Math_Squad_infinity_review_of_set_theory_function_mhossain_S13|Functions]]
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  • Fourier analysis in Music
    ...simpler waves. Because of their familiarity and usefulness as well-defined functions, mathematicians often use sine and cosine waves as the simple waves, expres ...monics is different for the two instruments: the amplitudes of the simpler functions making up the complex wave that a person hears as a single note of sound ar
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  • Math Squad infinity review of set theory function mhossain S13
    :::↳ [[Math_Squad_infinity_review_of_set_theory_function_mhossain_S13|Functions]] A Review of Set Theory: Functions
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  • Math Squad infinity review of set theory countablity mhossain S13
    :::↳ [[Math_Squad_infinity_review_of_set_theory_function_mhossain_S13|Functions]]
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  • Math Squad infinity review of set theory cardinality mhossain S13
    :::↳ [[Math_Squad_infinity_review_of_set_theory_function_mhossain_S13|Functions]]
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  • Math Squad infinity Hilbert hotel mhossain S13
    :::↳ [[Math_Squad_infinity_review_of_set_theory_function_mhossain_S13|Functions]]
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  • Lemma boutin mhossain 05 2013
    * the pdf of <math>X_1</math> and hence that of <math>X_2</math> are even functions Since <math>f_X(x) </math> is the convolution of two even functions, <math>f_X(x)</math> is also even. (proof)<br/>
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  • Proofs mhossain
    *[[MGFs_of_LCs_of_independent_RVs_mhossain|Moment Generating Functions of Linear Combinations of Random Variables]]
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  • Lineariy of expectation proof mhossain
    ..., <math>X</math> and <math>Y</math> are random variables with distribution functions <math>f_X(x)</math> and <math>f_Y(y)</math> respectively and <math>a</math>
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  • ECE270 Slecture Wayner Digital System Design Objectives
    #describe how to create “wired logic” functions using open drain logic gates
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  • ECE637 discrete parameter signals and systems discrete transforms S13 mhossain
    ...now it for all <math>\omega</math>. The periodicity of the DTFT means that functions such as rect<math>(\omega)</math> are not valid DTFT's. == Some Useful Discrete Time Functions and Transform Pairs==
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  • 2013 Fall ECE 544 Krogmeier
    **[[SignalDefinitions|basic signals and functions]]
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  • ECE270 Slecture Wayner Digital System Design Objectives Module 1
    #describe how to create “wired logic” functions using open drain logic gates
    3 KB (504 words) - 07:31, 26 February 2014
  • ECE270 Slecture Wayner Digital System Design Objectives Module 2
    #identify properties of XOR/XNOR functions
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  • ECE270 Slecture Wayner Digital System Design Objectives Module 4
    #define the CLA propagate (P) and generate (G) functions, and show how they can be realized using a half-adder #modify a reference ALU design to perform different functions (e.g., shift and rotate)
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  • HWK2MA527Fall2013
    ...ector addition and multiplication hold true. I did this by considering two functions f(x)=acos2x+bsin2x and g(x)=ccos2x+dsin2x. The problem that I am having is ...finitely on the right track. In my lecture on Friday, I dealt with the two functions exp(x) and exp(−x)&gt;. You can do exactly the same thing with cos(2x) an
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  • Walther453Fall2013 Topic3
    ...ervals. One example of this is the sin function. In contrast, non-periodic functions do not repeat their values.
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  • Student projects
    **[[Discriminant Functions For The Normal(Gaussian) Density|Discriminant Functions For The Normal(Gaussian) Density - Part 1]] **[[Discriminant Functions For The Normal(Gaussian) Density - Part 2]]
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  • Walther453Fall13 Topic9
    ...well as other sporadic finite groups) and the seemingly-unrelated modular functions. While much<br> as well as the perceived absurdity of the relationship between M and modular functions!<br>
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  • ECE600 F13 notes mhossain
    *[[ECE600_F13_rv_Functions_of_random_variable_mhossain|Functions of a Random Variable]] ...600_F13_Characteristic_Functions_mhossain|Random Variables: Characteristic Functions]]
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  • ECE600 F13 rv definition mhossain
    ...ing with sets. But as engineers, we work with numbers, variables, vectors, functions, signals, etc. We will spend the rest of the course learning about random v .... However, we will restrict this function to lie within a certain class of functions.
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  • ECE600 F13 rv distribution mhossain
    ...) for a random variable X for all A ∈ B('''R''')? We use three different functions: <br/> Since we will only work with non-differentiable functions that have step discontinuities as cdfs, we write <br/>
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  • HWK6MA527Fall2013
    ...ally be accomplished with one differentiation, however, with triginometric functions, it takes two differentiations to produce a function that looks like the or ...functions had similar difference identities to the regular sine and cosine functions. For anyone who is also hairy on the sinh and cosh difference identities se
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  • De Morgans law part 1
    * R. G. Bartle, D. R. Sherbert, "Sets and Functions" in "Introduction to Real Analysis", 3rd Edition, John Wiley and Sons, Inc.
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  • De Morgans law part 2
    * R. G. Bartle, D. R. Sherbert, "Sets and Functions" in "Introduction to Real Analysis", 3rd Edition, John Wiley and Sons, Inc.
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  • ECE600 F13 rv conditional distribution mhossain
    [[ECE600_F13_rv_Functions_of_random_variable_mhossain|Next Topic: Functions of a Random Variable]] [[ECE600_F13_rv_Functions_of_random_variable_mhossain|Next Topic: Functions of a Random Variable]]
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  • ECE600 F13 rv Functions of random variable mhossain
    <font size= 3> Topic 8: Functions of Random Variables</font size> We will only consider functions g in this class for which Y<math>^{-1}</math>(A) ∈ ''F'' ∀A ∈ B('''R
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  • HWK7MA527Fall2013
    ...and non-homogeneous, but when dealing with Laplace transforms and tranfer functions is the portion that pops out from the initial conditions and no forcing fun to show you how you can use MAPLE to graph piecewise defined functions. There
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  • HWK8MA527Fall2013
    On prob 16 of 11.1, I set up three piece wise functions to find Bn (odd function An and Ao are 0). From -pi to -pi/2 I set F(x)=0 F ...1, when it says plot the partial sums does it mean plot them as individual functions on the same plot or does it mean plot the function as the partial sums summ
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  • ECE600 F13 Expectation mhossain
    [[ECE600_F13_rv_Functions_of_random_variable_mhossain|Previous Topic: Functions of a Random Variable]]<br/> [[ECE600_F13_Characteristic_Functions_mhossain|Next Topic: Characteristic Functions]]
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  • ECE600 F13 Characteristic Functions mhossain
    <font size= 3> Topic 10: Characteristic Functions</font size> ==Characteristic Functions==
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  • HWK9MA527Fall2013
    ...was very handy because I wasn't sure what to do since there were two sine functions added. I got what you got. And I am glad I'm not the only one having that e
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  • ECE438 digital signal processing formulas
    *[[SignalDefinitions|Basic signals and functions]]
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  • ECE438 digital signal processing learning material
    **[[SignalDefinitions|basic signals and functions]]
    4 KB (471 words) - 19:34, 9 February 2015
  • HWK10MA527Fall2013
    ...problem 2 on page 522. Demonstrating that those integrals converge to step functions is rather advanced work and that is not what we are expecting you to do. (M ...thinking of a simple proof only with words, like a summation of only even functions will give an even function (I am not 100% sure if I can make this claim). B
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  • Review2MA527Fall2013
    functions. I did a problem exactly like that how to integrate the basic functions like sin, cos,
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  • ECE600 F13 Functions of Two Random Variables mhossain
    <font size= 3> Topic 13: Functions of Two Random Variables</font size> ==Two Functions of Two Random Variables==
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  • Hw9 ECE438F13sln
    This is because real systems have transfer functions with real coefficients. If we write the transfer function H(z) as H(z)=P(z)
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  • ECE600 F13 Joint Expectation mhossain
    ...on is a linear operator, so if g<math>_1</math>,...,g<math>_n</math> are n functions from '''R'''<math>^2</math> to '''R''' and a<math>_1</math>,...,a<math>_n</
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  • Lecture34ECE438F13
    In this lecture, we talked about the Fourier transform of functions of 2 variables. We call this transform the continuous-space Fourier transfo
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  • Lecture35ECE438F13
    ...ing the formulas for the Fourier transform of contuous-time signals (i.e., functions of 1 variable).
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  • Hw10 ECE438F13sln
    ...of the polynomial mentioned in part (b), while the coefficients are simply functions of <math>r_1</math> <math>r_2</math>, etc..This means that we can control t
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  • HWK11MA527Fall2013
    ...(0)=F^{''}(0)=0 </math>, we can show that the coefficients of cos and cosh functions are zero. separate variables, you'll get all the functions of x on one side and all the
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  • ECE600 F13 Random Vectors mhossain
    ...two functions of two random variables can be extended to find the pdf of n functions of n random variables (see Papoulis). ==Characteristic Functions of Random Vectors==
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  • HWK12MA527Fall2013
    ...e solution of the entire problem. I know that, sum of the solutions (eigen functions) is also a solution to the PDE, but in the last step, what if we work with ...2.7). How can we integrate (e^-v) Cos (pv)dv? I first looked to see if the functions were even or odd but e^-v is neither so no simplification there. Integratio
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  • ECE600 F13 Stochastic Convergence mhossain
    ...gence.png|350px|thumb|left|Fig 4: g<math>_1</math> and g<math>_2</math> as functions of x. Note that g<math>_2</math>(x) ≥ g<math>_1</math>(x) for all x.]]</c
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  • Walther453Fall13 Topic13 paper
    ...asymmetric" stems from the use of different keys to perform these opposite functions, each the inverse of the other.<br> <br>Cryptography is a way for two peopl ...fie-Hellman method makes use of certain one-way functions called trap-door functions, to make it almost impossible to decipher encrypted data without a key.<br>
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  • ECE600 F13 Stochastic Processes mhossain
    R<math>_{XX}</math> and C<math>_{XX}</math> are non-negative definite functions, i.e., ∀a<math>_1</math>,...,a<math>_n</math> ∈ '''R''' and t<math>_1</ ...scription (nth order cdf/pdf/pmf, or mean, autocorrelation, autocovariance functions) does not depend on the time origin.
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  • ECE600 F13 Linear Systems with Random Inputs mhossain
    ...racterize the output is the system by finding the mean and autocorrelation functions of the output in terms of those of the input signal.
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  • 2014 Spring ECE 662 Boutin
    ***[[Discussion about Discriminant Functions for the Multivariate Normal Density|Text slecture in English]] by Yanzhe Cu
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  • ECE-QE CS1-2012 solusion-1
    Consider two functions <span class="texhtml">''g''<sub>''1''</sub>(''x'')</span> and <span class="
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  • Bayes Rule for 1-dimensional and N-dimensional feature spaces
    ...butions. Thus, it is sometimes infeasible to directly use the discriminant functions we defined above. This problem is remained as follow-up discussion.
    19 KB (3,255 words) - 10:47, 22 January 2015
  • Mle tutorial
    ...an class="texhtml">''p''</span>. We have<br>the following probability mass functions for each of the above mentioned cases:'''<br>''' ...og L(<span class="texhtml">θ / ''x''</span>). This is because the <br>two functions log L(<span class="texhtml">θ / ''x''</span>) and L(<span class="texhtml">
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  • Curse of Dimensionality
    ...s, then you probably can also figure out how to do that for multi-variable functions. However, this is not the case when you try to generalize your two-dimensio
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  • 2016 Summer ECE 301 Shenk
    **[[SignalDefinitions|basic signals and functions]]
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  • MA598C 2014 postmortem mjk
    ...thout using a memorized formula) the residue of a quotient of two analytic functions at a point. I tried using the Residue Theorem but found myself unable to co
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  • Neyman-Pearson Lemma and Receiver Operating Characteristic Curve
    False alarm probability and detection probability are functions of <math>\theta</math>
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  • Discussion about Discriminant Functions for the Multivariate Normal Density
    '''Discussion about Discriminant Functions for the Multivariate Normal Density''' <br /> ...'Gaussian Density''''', received more attention than other various density functions that have been investigated in pattern recognition.
    14 KB (2,287 words) - 10:46, 22 January 2015
  • ParzenWindowReview
    ...nd sample sizes. The report could get benefits from testing various kernel functions. <br>
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  • Deviation of Maximum Likelihood Estimators and Basic Properties of ML Method
    ...eta}(y)</math> where <math>\theta</math> parameterizes a family of density functions for <math>Y</math>. We may then use this family of distributions to determi
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  • Parzen Window Density Estimation
    ...on and classification we have primarily focused on the use of discriminant functions as a means of classifying data. That is, for a set of classes <math> \omega ...t essentially says that the estimated p.d.f. is made up of a sum of window functions, and is an actual density itself provided that <math>\varphi(\vec{X})</math
    16 KB (2,703 words) - 10:54, 22 January 2015
  • Least Squares Support Vector Machine and its Applications in Solving Linear Regression Problems
    *Effect of Kernel Functions on SVM ...function <math>J(\textbf{c})</math>. There are variant forms of criterion functions. For example, we can try to minimize the error vector between <math>\textbf
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  • Generation-of-normally-distributed-random-numbers-under-a-binary-prior-probability
    ...nt samples that are normally distributed without the use of sine or cosine functions. ...formation more efficient by avoiding direct caculations of cosine and sine functions.
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  • Reviews on Parzen window density estimation
    ...tion, there is no detailed discussion about the choice of different window functions and their density estimation results.
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  • Questions limits of functions
    Questions and Comments for: [[Limits_of_functions|Limits of Functions]] [[Limits_of_functions|Back to "Limits of Functions" tutorial]]
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  • ECE662roc comments
    ...quivalent to trying different priors for the classes and/or different cost functions for misclassification. This would make the purpose of these curves more cle
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  • Generating N-D Gaussian Data in Two Classes HyunDok Cho review
    ...en sharing helps readers get clear understanding of how it works, what the functions for, why such parameters are needed. Also the visualization technique the a
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  • Generation of N-dimensional normally distributed random numbers from two categories with different priors
    ...nt samples that are normally distributed without the use of sine or cosine functions. ...ormation more efficient by avoiding direct calculations of cosine and sine functions.
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  • Maximum Likelihood Estimators and Examples
    ...eta}(y)</math> where <math>\theta</math> parameterizes a family of density functions for <math>Y</math>. We may then use this family of distributions to determi
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  • Slecture from KNN to nearest neighbor
    .... This is only a minor drawback however, as the goal in estimating density functions is usually classification.
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  • Parzen Windows slecture review
    ...rom the class along with figures to help us understand better about window functions.
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  • The principles for how to generate random samples from a Gaussian distribution
    ...not straightforward to make an algebraic expression in terms of elementary functions such as exponentials and logs. Therefore, we use Box Muller transform metho ...al distributed random variable is introduced. To avoid using trigonometric functions of Box Muller transforms, let's consider polar coordinates. For this, we co
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  • MLEforGMM
    ...have a joint frequency function that is the product of marginal frequency functions. The log likelihood of Poisson distribution thus should be: ...have a joint frequency function that is the product of marginal frequency functions. The log likelihood of exponential distribution thus should be:
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  • Joonsoocomment
    ...ation if you plot the histogram of U and X to show that this method really functions in the desired way.
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  • SVMAndApplications
    ...to comprehend how SVM works. Like maximize margin, the influence of kernel functions. Effect of Kernel Functions on SVM:
    3 KB (510 words) - 19:07, 5 May 2014
  • LinearClassierSlectureJMS
    = Discriminant Functions =
    10 KB (1,684 words) - 13:00, 5 May 2014
  • JMSLinearClassifierSlecture
    = Discriminant Functions =
    10 KB (1,666 words) - 10:56, 22 January 2015
  • 2014 Spring ECE 662 Boutin Statistical Pattern recognition slectures
    **[[Discussion about Discriminant Functions for the Multivariate Normal Density|Text slecture in English]] by Yanzhe Cu
    8 KB (1,123 words) - 10:38, 22 January 2015
  • Limits of functions
    = Limits of Functions = ..., we first consider continuity at a point. Unless otherwise mentioned, all functions here will have domain and range <math>\mathbb{R}</math>, the real numbers.
    20 KB (3,513 words) - 14:55, 13 May 2014
  • Taylor maclaurin series
    ...o be a guide to UNDERSTANDING them and finding Taylor Series expansions of functions, not just being able to solve problems on your homework because math is a l ...st infinite polynomials, remember). As it turns out, we can represent some functions as power series and if a function can be represented as a power series, we
    9 KB (1,632 words) - 18:19, 27 February 2015
  • Hw1 Bochum Su2014
    b) GIve two possible discriminant functions for this decision problem.
    2 KB (245 words) - 01:57, 8 July 2014
  • MA598C 2014 postmortem pfw
    *I should have spent more time on harmonic functions!<br>
    730 B (134 words) - 06:50, 5 August 2014
  • Discrete-time Fourier transform (DTFT) Slecture by Jacob Holtman
    Because integration is a sum of infinitely small parts and delta functions are only equal to 1 at a distinct value the integration becomes the value o
    4 KB (575 words) - 20:02, 16 March 2015
  • Holtman Slecture Review
    ...ts. It made it really easy to follow. Good job overall! Make note of which functions require you to explain their periodicity.
    4 KB (728 words) - 05:33, 15 October 2014
  • Ftrepcomb mattmiller
    Fourier Transform of Rep and Comb Functions ...e fourier transforms of the <math>comb_T()</math> and <math>rep_T()</math> functions.
    4 KB (734 words) - 18:56, 16 March 2015
  • FTrepcomb mille507comments
    ...t> <font size="4">[[Ftrepcomb mattmiller|Fourier Transform of Rep and Comb Functions]] </font> ...etter if you put some graph to see how do they change between Rep and Comb functions.
    6 KB (1,033 words) - 05:33, 15 October 2014
  • SRH Slecture Review
    ...a sampling and the CTFT of the original signal, but I feel that the delta functions from the center copy need to be made more distinct from those from shifted
    2 KB (394 words) - 05:38, 15 October 2014
  • Nyquist Michael Hayashi ECE438 slecture
    ...=0 Hz) has a coefficient of 1 due to the additive constant while the delta-functions on the left and right (corresponding to f=-1 Hz and f=1 Hz) share a coeffic ...on. The middle-top plot shows the combed function of the signal with delta-functions with the coefficients corresponding to the y-values. The sampling rate of <
    10 KB (1,650 words) - 19:04, 16 March 2015
  • Questions Page
    ...purposes. Similarly, citing the oscillatory nature of complex exponential functions as a way to compute the DTFT is a powerful technique to impart without reso
    3 KB (568 words) - 05:34, 15 October 2014
  • ECE-QE CS5-2013
    ...pan class="texhtml">''b''<sub>0</sub>(λ)</span> be the CIE color matching functions for red, green, and blue primaries at 700 nm, 546.1 nm, and 435.8 nm, respe ...class="texhtml">''f''<sub>3</sub>(λ)</span>&nbsp;be the spectral response functions for the three color outputs of a color camera. So for each pixel of the cam
    5 KB (760 words) - 18:06, 12 November 2014
  • QE637 2014 Pro2
    a) If the color matching functions <span class="texhtml">''f''<sub>''k''</sub>(λ)</span> has negative values, ...n negative values in tristimulus values r, g, and b. So the color matching functions at the corresponding wavelength have negative values.
    3 KB (527 words) - 21:17, 10 November 2014
  • QE637 2013 Pro2
    a) If the color matching functions <span class="texhtml">''f''<sub>''k''</sub>(λ)</span> has negative values, ...n negative values in tristimulus values r, g, and b. So the color matching functions at the corresponding wavelength have negative values.
    7 KB (1,005 words) - 22:30, 2 December 2015
  • HW10ECE438F14 Soln
    ...of the polynomial mentioned in part (b), while the coefficients are simply functions of <math>r_1</math> <math>r_2</math>, etc..This means that we can control t Since real systems have transfer functions with real coefficients, the poles of the vocal tract should come in complex
    6 KB (1,031 words) - 11:27, 29 November 2014
  • ECE PhD QE CNSIP Jan 2002 Problem1.3
    ...(t)</math> and <math class="inline">w\left(t\right)</math> be measurable functions defined on the real numbers. Further, let <math class="inline">w\left(t\rig
    2 KB (331 words) - 17:37, 13 March 2015
  • ECE PhD QE CNSIP Jan 2003 Problem1
    ...</math> and <math class="inline">g\left(\cdot\right)</math> are suitable functions such that <math class="inline">E\left[f\left(\mathbf{V}\right)\right]<\inft
    6 KB (895 words) - 00:41, 10 March 2015
  • 2015 Summer Cryptography Paar Stream Ciphers Divya Agarwal and Kathryn Marsh
    Encryption and decryption are the same functions.
    3 KB (455 words) - 05:18, 24 June 2015
  • Auto tune project ECE438F15
    ...eal time. To implement this Matlab would need to use several audiorecorder functions. Each function takes approximately .06 seconds to run outside of the window
    9 KB (1,777 words) - 23:23, 21 November 2015
  • Something related to piano key frequencies, z transforms, and truncation windows
    ...truncate an ideal filter’s impulse response by using different windowing functions. In lab 7a and lab 7b, some truncation windows were introduced, such as, th
    6 KB (1,002 words) - 22:08, 29 November 2015
  • ECE PhD QE CNSIP 2015 Problem1.3
    ...andom variables <math>X</math> and <math>Y</math> and their characteristic functions <math>\phi_X(\omega),\,\phi_Y(\omega)</math> we have the following property
    2 KB (243 words) - 22:00, 7 March 2016
  • RTG-Chicago-2016
    Differentiability of functions and measures (by M. Csornyei)
    1 KB (180 words) - 15:24, 16 February 2016
  • Project3 ECE662S16
    ...ow support vector machines can be used to estimate non-linear discriminant functions as if they were linear. Experiment with linear classifiers and support vect
    2 KB (302 words) - 19:11, 31 March 2016
  • Walther MA279 Spring2016 topic6
    ...uences of the moves and are forced to guess by using heuristic "evaluation functions" that measure simple quantities such as the total number of pieces left.
    11 KB (2,028 words) - 20:48, 24 April 2016
  • Introduction of Optical Character Recognition (ORC)
    ...paring with the known sinusoidal signals, we can then predict or know what functions could be used to describe the unknown signals.
    8 KB (1,405 words) - 22:56, 27 November 2016
  • The Z-transform
    Usually for systems we have transfer functions which have the forms:<br />
    10 KB (1,800 words) - 10:41, 27 November 2016
  • Edge Detection with Gaussian Blur
    ...mensional Gaussian function. This is simply the product of two 1D Gaussian functions (one for each direction) and is given by:
    3 KB (498 words) - 18:53, 30 November 2016
  • The Laurent Series in DSP
    ...coefficient. However, the Laurent Series also has the ability to describe functions with poles by containing negative powers of the complex variable (represent ...of analysis can help give a better description of poles of non-polynomial functions.
    6 KB (931 words) - 23:40, 23 April 2017
  • BritaFilter Code
    // AudioSignal requires both mono and stereo generate functions
    8 KB (849 words) - 16:52, 24 April 2017
  • QE637 sol2013
    ...pan class="texhtml">''b''<sub>0</sub>(λ)</span> be the CIE color matching functions for red, green, and blue primaries at 700 nm, 546.1 nm, and 435.8 nm, respe ...class="texhtml">''f''<sub>3</sub>(λ)</span>&nbsp;be the spectral response functions for the three color outputs of a color camera. So for each pixel of the cam
    5 KB (755 words) - 20:27, 2 May 2017
  • QE637 sol2013 Q2
    ...th>{{f}_{k}}(\lambda ),\ for\ k=0,\ 1,\ 2</math> are the spectral response functions for the three color outputs of a color camera, and the negative spectrum ca ...0}}(\lambda ),\ and\ {{b}_{0}}(\lambda )</math> are the CIE color matching functions, they can be both positive and negative. The color matching function are gi
    8 KB (1,092 words) - 21:06, 2 May 2017
  • ECE-QE CE1-2013
    (b) Assume functions <math>f</math> and <math>g</math> such that <math>f(n)</math> is <math>O(g(
    4 KB (668 words) - 20:23, 21 August 2017
  • ECE PhD QE CE 2013 Problem1.1
    (b) Assume functions <math>f</math> and <math>g</math> such that <math>f(n)</math> is <math>O(g(
    4 KB (651 words) - 16:06, 23 August 2017

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Followed her dream after having raised her family.

Ruth Enoch, PhD Mathematics