Create the page "Functions" on this wiki! See also the search results found.
Page title matches
- = 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
Page text matches
- ===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 ''x'' and sin ''x'' of the (real) vari2 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 the524 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*t4 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 func648 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 fun873 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 giv2 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 for597 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 the2 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 still940 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 (produci2 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 th3 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 be1 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 de1 KB (245 words) - 15:10, 12 September 2008
- since u[n] is simply the summation of shifted delta functions we can say that1 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 equiv2 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. F753 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 functions1 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 w893 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 s408 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 i5 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 the343 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 following1 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 summat1 KB (242 words) - 14:45, 24 October 2008
- Fourier Transform of delta functions860 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 trunc548 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 Functions7 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, when8 KB (1,173 words) - 12:41, 26 April 2008
- is modeled as a composition of simple functions <math>f_i</math>'s647 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 classifiers6 KB (916 words) - 08:47, 17 January 2013
- =Lecture 6- Discriminant Functions= - Discriminant Functions9 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 true7 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 conjugate931 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 pairwis39 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 functions2 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 C782 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}821 B (137 words) - 16:22, 20 March 2008
- 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 functions6 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 to2 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 cat6 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 b1 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 b1 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 gradie3 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(\t1 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. This880 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]]7 KB (875 words) - 07:11, 13 February 2012
- 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 exp3 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 i3 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 th521 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 junior7 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 Functions2 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 Newt10 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 Sampling63 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 as3 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 as3 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 inhabit27 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 following4 KB (729 words) - 11:15, 26 October 2009
- Technically, we have two functions here: one corresponding to the positive root, and another corresponding to3 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 equat3 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 regi3 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 of8 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), then3 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 Logarithms15 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 variable2 KB (339 words) - 11:11, 18 September 2015
- =Basic 2D Functions=238 B (30 words) - 10:27, 4 November 2009
- **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.They3 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</ma3 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 signa14 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 temptation4 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 functions1 KB (165 words) - 08:55, 22 April 2010
- This set of functions is actually closed under function2 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 is1 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
- 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.3 KB (371 words) - 19:01, 6 April 2010
- '''Note:''' We could minimize other cost functions, e.g.<br>9 KB (1,536 words) - 07:26, 12 April 2010
- ...und-inline-policy: -moz-initial;" colspan="2" | Properties of Probability Functions3 KB (491 words) - 12:54, 3 March 2015
- ...onship to [[Bayes_Decision_Theory|Bayes rule]]. We focused on discriminant functions when the class densities are normal.462 B (56 words) - 08:48, 11 May 2010
- =[[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
- ...but mathematically convenient, definition of ANN involving composition of functions was given. Comments regarding this way of presenting the material are welco927 B (117 words) - 09:22, 20 April 2010
- ...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
- ...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 layers1 KB (198 words) - 08:50, 22 April 2010
- 9. Transfer Functions (used in [[ECE382|ECE 382]])<br/><br/>6 KB (873 words) - 17:02, 15 April 2013
- <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-maps3 KB (359 words) - 16:57, 15 April 2013
- ...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 variables2 KB (231 words) - 07:20, 4 May 2010
- =Discriminant Functions=111 B (13 words) - 08:47, 11 May 2010
- In Lecture 7, we continued discussing [[Discriminant_Functions|discriminant functions]] for normally distributed features. More info can be found [[Bayesian_Deci464 B (54 words) - 08:58, 11 May 2010
- .../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 <965 B (165 words) - 05:16, 28 July 2010
- ...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://arx2 KB (281 words) - 16:48, 5 August 2010
- *[[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
- ...frequency transform in terms of <math>\omega</math>. The "rep" and "comb" functions were introduced. Some subtleties regarding the rescaling of the Dirac delta1 KB (212 words) - 04:24, 27 October 2010
- ...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 comple660 B (96 words) - 04:26, 29 August 2011
- == 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 o5 KB (797 words) - 09:43, 29 December 2010
- ==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 o2 KB (355 words) - 09:44, 29 December 2010
- ...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
- ...n(x+y)+sin(x-y))/2". You can then simply take the system as 2 separate sin functions.5 KB (778 words) - 09:11, 1 October 2010
- ...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 ma4 KB (602 words) - 09:32, 6 October 2010
- ...maybe someone can answer me this: At the end of the evaluation of the H(s) functions through partial fractions, shouldn't8 KB (1,384 words) - 17:16, 13 October 2010
- ...] 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>7 KB (1,273 words) - 12:42, 26 November 2013
- *[[DTFT_Window_Function|Graphs of the DTFT of centered window functions with different length]]382 B (52 words) - 12:59, 22 October 2010
- ...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 (4,787 words) - 18:21, 22 October 2010
- so they are even functions. so they are odd functions.2 KB (404 words) - 19:28, 26 October 2010
- ...-moz-initial; font-size: 110%;" colspan="3" | Derivatives of trigonometric functions ...; font-size: 110%;" colspan="3" | Derivatives of exponential and logarithm functions6 KB (908 words) - 17:40, 27 February 2015
- * [[Discriminant Functions]]1 KB (164 words) - 06:47, 18 November 2010
- ...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 drops8 KB (1,441 words) - 15:52, 10 November 2010
- ...ial; font-size: 110%;" colspan="2" | Definite Integral containing circular functions6 KB (920 words) - 12:21, 24 February 2015
- ='''1.1.4 Relations between cosine, sine and exponential functions'''=7 KB (1,186 words) - 11:20, 30 November 2010
- 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
- ...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 infinit4 KB (773 words) - 17:23, 8 December 2010
- ...(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\rig9 KB (1,534 words) - 08:33, 27 June 2012
- ...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 logarithms4 KB (430 words) - 13:42, 22 November 2010
- ...ine-policy: -moz-initial;" colspan="2" | Taylor series of Single Variable Functions ...line-policy: -moz-initial;" colspan="2" | Series Expansion of Exponential functions and Logarithms9 KB (1,144 words) - 09:38, 23 November 2010
- ...</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]<\inft6 KB (916 words) - 08:26, 27 June 2012
- Another type of inner products can be seen in continuous functions such as in the form of:4 KB (677 words) - 13:30, 8 December 2010
- Taking derivatives and taking the inner product are functions that give linear transformations.4 KB (558 words) - 08:26, 15 December 2010
- ...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
- ...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
- ...gnals ECE301S11|What is the Nyquist rate of the multiplication of two sinc functions?]]18 KB (2,485 words) - 10:36, 11 November 2011
- ...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>7 KB (1,166 words) - 18:01, 21 January 2011
- ==== Functions for interacting with wav files ====2 KB (255 words) - 06:49, 6 January 2011
- ...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
- ...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 the2 KB (445 words) - 15:40, 2 February 2011
- ...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 is2 KB (342 words) - 07:35, 21 March 2013
- 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 w2 KB (233 words) - 13:25, 31 January 2011
