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  • 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
  • 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
  • ...unit step functions_(ECE301Summer2008asan)|The unit impulse and unit step functions]]
    7 KB (921 words) - 06:08, 21 October 2011
  • ...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
  • ...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
  • 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
  • Lecture 15 pg. 18 gives details of the properties for these types of functions.
    4 KB (815 words) - 10:57, 21 November 2008
  • =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
  • Good find in the functions library.
    5 KB (834 words) - 17:26, 23 April 2013
  • ==[[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
  • ...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
  • ...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
  • [[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
  • ...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
  • ...cdots command. This stands for 'center dots'. There are also other 'dot' functions.
    3 KB (390 words) - 06:35, 10 August 2010
  • ...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
  • ...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
  • <li>Singularity Functions</li>
    3 KB (508 words) - 06:43, 16 September 2013
  • <p><h3><u>Delta Functions</u></h3><br/>
    2 KB (408 words) - 06:43, 16 September 2013
  • - 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
  • ===Functions===
    1 KB (169 words) - 21:29, 12 February 2009
  • *General knowledge of transfer functions
    710 B (115 words) - 14:35, 17 February 2009
  • <span class="cheader">3.1.6 Estimating Correlation functions</span>
    3 KB (522 words) - 06:45, 16 September 2013
  • '''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
  • ...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
  • .../3.1_random_signals/3.1.6_estimating_correl.pdf Estimation of Correlation Functions]
    8 KB (1,226 words) - 11:40, 1 May 2009
  • * [[ECE_438_Fall_2009_mboutin_basic2Dfunctions|Plots of some basic 2D functions]]
    7 KB (1,067 words) - 12:05, 25 June 2010
  • ...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
  • Marginal Probability Density Functions:
    4 KB (722 words) - 13:05, 22 November 2011
  • ...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
  • ...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
  • 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
  • ...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
  • ==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
  • ...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
  • ...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
  • ...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
  • ...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
  • == 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
  • == 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
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= ==Periodic Functions==
    1 KB (206 words) - 07:09, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions ==
    645 B (90 words) - 07:11, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    875 B (133 words) - 07:11, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions ==
    1 KB (180 words) - 07:13, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    481 B (60 words) - 07:15, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    1 KB (212 words) - 07:15, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    701 B (119 words) - 07:17, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Example of Periodic functions ==
    519 B (70 words) - 07:18, 14 April 2010
  • == 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
  • ==== Functions for interacting with wav files ====
    2 KB (255 words) - 08:14, 3 September 2008
  • ===Basic Functions===
    3 KB (436 words) - 12:44, 3 September 2008
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    574 B (85 words) - 07:19, 14 April 2010
  • ...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
  • ==Periodic Functions==
    1 KB (265 words) - 06:12, 2 February 2011
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions in Continuous Time ==
    1 KB (163 words) - 07:19, 14 April 2010
  • 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
  • =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
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    1 KB (205 words) - 07:20, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= === Periodic Functions ===
    1 KB (169 words) - 07:22, 14 April 2010
  • ...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
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    994 B (164 words) - 07:20, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    791 B (117 words) - 07:17, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    742 B (104 words) - 07:23, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    2 KB (279 words) - 07:18, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    491 B (64 words) - 07:24, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    732 B (100 words) - 07:24, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    640 B (106 words) - 07:25, 14 April 2010
  • %Transform by x(2t). Replace t in all functions with 2*t
    4 KB (759 words) - 13:38, 4 September 2008
  • =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
  • ==Period Functions==
    20 B (2 words) - 13:51, 4 September 2008
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    879 B (140 words) - 07:25, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    883 B (143 words) - 07:24, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    856 B (140 words) - 07:26, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Non-Periodic Functions ==
    779 B (124 words) - 07:27, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= '''Periodic functions'''
    2 KB (274 words) - 07:27, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    634 B (89 words) - 07:28, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    1 KB (192 words) - 07:28, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions ==
    796 B (137 words) - 07:18, 14 April 2010
  • ==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
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= ==Non Periodic Functions==
    835 B (141 words) - 07:26, 14 April 2010
  • ==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
  • == Periodic Functions == == Non-periodic Functions ==
    1 KB (221 words) - 12:21, 5 September 2008
  • == Periodic / Non-Periodic Functions ==
    897 B (156 words) - 05:16, 5 September 2008
  • ...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
  • ...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
  • == Periodic Functions == ==Non-Periodic Functions ==
    438 B (72 words) - 21:53, 4 September 2008
  • 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
  • =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
  • 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
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    1 KB (195 words) - 07:20, 14 April 2010
  • == Periodic Functions ==
    831 B (141 words) - 08:17, 5 September 2008
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    960 B (171 words) - 07:13, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    688 B (106 words) - 07:08, 14 April 2010
  • ==Periodic functions== ==Non-Periodic functions==
    566 B (79 words) - 09:16, 5 September 2008
  • == Periodic and Non-Periodic Functions ==
    563 B (104 words) - 09:23, 5 September 2008
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    838 B (138 words) - 07:22, 14 April 2010
  • *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
  • 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
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    700 B (115 words) - 07:11, 14 April 2010
  • =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
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    801 B (121 words) - 07:28, 14 April 2010
  • =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
  • =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
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    306 B (40 words) - 07:21, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= == Periodic Functions ==
    688 B (113 words) - 07:12, 14 April 2010
  • =Periodic Functions= ==Functions==
    942 B (142 words) - 18:30, 5 September 2008
  • ...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
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    567 B (81 words) - 07:12, 14 April 2010
  • =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
    446 B (74 words) - 07:22, 14 April 2010
  • ...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
  • [[Image:Periodicshifted_ECE301Fall2008mboutin.jpg|300x300px|multiple functions y = x being put together]]
    1,021 B (167 words) - 08:08, 10 September 2008
  • 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
  • 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
  • ...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...)
    1 KB (232 words) - 09:10, 11 September 2008
  • ...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
  • 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
  • since u[n] is simply the summation of shifted delta functions we can say that
    1 KB (230 words) - 15:34, 12 September 2008
  • 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
  • ...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
  • ...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
  • 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
  • ...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
  • DT function that was made by repeating nonperiodic CT functions
    1 KB (183 words) - 09:21, 12 September 2008
  • ...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
  • 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
  • ...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
  • 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
  • ...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
  • The functions z(t) are equal, so the system is time invariant.
    1 KB (244 words) - 14:40, 18 September 2008
  • The functions z(t) are equal, so the system is time invariant.
    1 KB (244 words) - 14:42, 18 September 2008
  • 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
  • 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
  • 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
  • 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
  • ===Periodic versus non-periodic functions===
    2 KB (243 words) - 08:04, 21 November 2008
  • 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
  • ...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
  • 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
  • The following functions can be used to find the system function:
    842 B (168 words) - 14:55, 26 September 2008
  • ...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
  • 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
  • Since integrating dirac functions is extremely easy one can easily simplify to the following
    1 KB (184 words) - 12:47, 16 September 2013
  • <math>H(z)=1+\frac{1}{z}</math> due to the two step functions.
    680 B (127 words) - 03:59, 15 October 2008
  • ...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
  • 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
  • Fourier Transform of delta functions
    860 B (156 words) - 18:26, 24 October 2008
  • In other words, the samples are represented by unit-step functions.
    453 B (65 words) - 13:36, 9 November 2008
  • == Interpolation using step functions ==
    409 B (76 words) - 13:12, 10 November 2008
  • ...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
  • ...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
  • (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
  • 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
  • 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
  • #The Unit Impulse and Unit Step Functions
    7 KB (1,017 words) - 10:05, 11 December 2008
  • 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
  • ...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
  • ...,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
  • ...sorder but can someone give me a couple of examples with disjointed cyclic functions.
    434 B (74 words) - 18:25, 12 October 2008
  • 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
  • ...)) 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
  • ...lanations of the mathematics behind probability, sequences, and generating functions. I really enjoy this book.
    877 B (141 words) - 07:55, 11 December 2008
  • ...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
  • ...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
  • is modeled as a composition of simple functions <math>f_i</math>'s
    647 B (106 words) - 11:08, 3 April 2008
  • '''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
  • ...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
  • - ''Discriminant Functions'' '''Discriminant Functions''': one way of representing classifiers
    6 KB (916 words) - 08:47, 17 January 2013
  • =Lecture 6- Discriminant Functions= - Discriminant Functions
    9 KB (1,586 words) - 08:47, 17 January 2013
  • * Linear Discriminant Functions == Linear Discriminant Functions ==
    5 KB (792 words) - 08:48, 17 January 2013
  • ...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
  • [[Kernel Functions_Old Kiwi|Why kernel functions?]] == Kernel Functions ==
    8 KB (1,354 words) - 08:51, 17 January 2013
  • ...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
  • 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
  • *defining c linear discriminant functions == More on Linear Discriminant Functions ==
    2 KB (433 words) - 23:11, 10 March 2008
  • ...on in the Bayesian estimation yields different estimates. Two popular cost functions are considered below:
    6 KB (995 words) - 10:39, 20 May 2013
  • ...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
  • 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
  • ...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
  • ==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
  • The Bayes rules to minimize the expected loss([Loss Functions]) or "Risk":
    8 KB (1,360 words) - 08:46, 17 January 2013
  • -defining c linear discriminant functions
    2 KB (428 words) - 09:12, 7 April 2008
  • ...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
  • 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
  • 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}
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  • 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
  • where {<math>fj's</math>} are pre-determined class of functions
    6 KB (1,047 words) - 08:42, 17 January 2013
  • 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
  • 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
  • ...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
  • ...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
  • ...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
  • Functions that are linear combinations of x.
    340 B (63 words) - 01:40, 17 April 2008
  • 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
  • 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
  • ...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
  • 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
  • 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
  • ...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
  • ...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
  • 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
  • ...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
  • Lecture 15 pg. 18 gives details of the properties for these types of functions.
    4 KB (803 words) - 11:10, 22 July 2008
  • 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
  • ...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
  • Hypersurfaces are combined by multiplication of the functions which define them, not by intersection.
    5 KB (744 words) - 11:17, 10 June 2013
  • * [[Lecture 5 - Discriminant Functions_OldKiwi|Lecture 5 - Discriminant Functions]] * [[Lecture 6 - Discriminant Functions_OldKiwi|Lecture 6 - Discriminant Functions]]
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  • 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
  • ...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
  • 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
  • * [[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
  • ...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
  • 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
  • Hence, using the fact that absolutely continuous functions take null sets to null sets:
    3 KB (487 words) - 10:42, 20 July 2009
  • Hence, using the fact that absolutely continuous functions take null sets to null sets:
    3 KB (582 words) - 05:49, 11 June 2013
  • ...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
  • ...^{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
  • ...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
  • * A knowledge of impulse response functions and convolution for linear systems.
    7 KB (1,153 words) - 14:06, 24 August 2009
  • = MA530: Functions Of A Complex Variable I=
    267 B (37 words) - 06:30, 21 August 2009
  • Cosine and Sine Functions Rept and Comb Functions
    2 KB (375 words) - 04:11, 3 September 2009
  • *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
  • ...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 9/9/2009: Z-1 of Rational Functions and Sampling
    63 B (8 words) - 09:35, 22 September 2009
  • ...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
  • ...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
  • 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
  • ...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
  • 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
  • ...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
  • ...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
  • *[[SignalDefinitions|Basic signals and functions]] (used in [[ECE301]], [[ECE438]])
    3 KB (294 words) - 15:44, 12 March 2015
  • ...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
    8 KB (1,289 words) - 11:13, 20 May 2013
  • It turns out that exponential functions of the form exp(rt) satisfy the equation. If we assume that y=exp(rt), then
    3 KB (527 words) - 18:10, 26 October 2009
  • ...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
    15 KB (2,182 words) - 18:14, 27 February 2015
  • '''Basic Signals and Functions''' ...pan="2" style="background: #e4bc7e; font-size: 110%;" | Basic Signals and Functions in one variable
    2 KB (339 words) - 11:11, 18 September 2015
  • =Basic 2D Functions=
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  • **Basis Functions *A basis function can be thought of as a building block for functions.
    10 KB (1,646 words) - 11:26, 18 March 2013
  • *[[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
    3 KB (495 words) - 10:13, 11 November 2011
  • Notes for Periodic functions: [[Media:PeriodicFunctions.pdf‎]]
    141 B (19 words) - 11:50, 15 November 2009
  • ...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
    3 KB (554 words) - 21:21, 3 December 2009
  • ...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
    14 KB (2,366 words) - 17:32, 21 April 2013
  • ...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
    4 KB (731 words) - 09:40, 20 May 2013
  • *[[EE662Sp10Semimetric|Distance Functions Where Triangle Inequality Doesn't Hold]]
    4 KB (547 words) - 12:24, 25 June 2010
  • functions <math> f(x)\,</math> and <math> g(y)\,</math> closely.
    2 KB (294 words) - 09:39, 10 February 2010
  • ...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.
    4 KB (596 words) - 13:17, 12 November 2010
  • 5. Discriminant functions 9. Non-Linear Discriminant functions
    1 KB (165 words) - 08:55, 22 April 2010
  • This set of functions is actually closed under function
    2 KB (325 words) - 08:37, 2 April 2010
  • ...<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
    1 KB (210 words) - 08:38, 2 April 2010
  • 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:
    3 KB (449 words) - 16:24, 9 May 2010
  • ...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.
    7 KB (1,129 words) - 06:32, 28 May 2010

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Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva