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- =Issue with LTI system defined by Difference Equation = I do not understand this difference equation, so could someone please explain it...2 KB (379 words) - 08:35, 9 March 2011
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38 B (6 words) - 21:16, 22 July 2009
- ...on Causal LTI systems defined by a linear, constant coefficient difference equation = Consider the LTI system defined by the difference equation5 KB (793 words) - 10:28, 11 November 2011
Page text matches
- ...301Summer2008asan)|LTI systems described by differential equations(CT) and difference equations(DT)]]7 KB (921 words) - 06:08, 21 October 2011
- Consider <math> X(j\omega)\ </math> evaluated according to Equation 4.9: ...nal obtained by using <math> X(j\omega)\ </math> in the right hand side of Equation 4.8:1 KB (227 words) - 11:54, 10 December 2008
- ...quency and Impulse Response of a causal LTI system defined by a difference equation = 1: Take the Fourier transform of the equation,2 KB (248 words) - 08:31, 9 March 2011
- ==[[ECE 301 Fall 2007 mboutin Difference Equation in Class Example|Difference Equation in Class Example]]== {{:ECE 301 Fall 2007 mboutin Difference Equation in Class Example}}850 B (90 words) - 12:27, 12 December 2008
- =Issue with LTI system defined by Difference Equation = I do not understand this difference equation, so could someone please explain it...2 KB (379 words) - 08:35, 9 March 2011
- ...(N+1)}}{1+x^2}dx=0</math> so the more terms we use on the left side of the equation the closer we get to <math>\frac{\pi}{4}</math>. This integral can therefo ...> for all N. So if we sum them, the absolute value of the sum will be the difference of their absolute values.10 KB (1,816 words) - 15:32, 8 December 2008
- :Actually, it does not make any difference since cosine is an even function. -pm ...I would have prefered the sentence "Taking the I.F.T. of both sides of the equation, we get:" instead of "After going through a inverse fourier transformation:11 KB (1,951 words) - 03:48, 25 March 2011
- [[Category:difference equation]] '''Frequency Response and Difference Equations'''2 KB (401 words) - 17:16, 21 April 2013
- A system characterized by a difference equation in DT is given as: Now plug this value into the left equation to solve for A:4 KB (633 words) - 11:13, 24 October 2008
- ...m <math>\sigma + j\omega</math> and if <math> \sigma = 0 </math> then this equation reduces to the Fourier Transform of <math>x(t)</math>. Indeed, the LT can b :in the equation and can clearly be obtained through direct algebraic manipulation.21 KB (3,312 words) - 11:58, 5 December 2008
- The derivation of the inverse z-Transform equation is outlined in chapter 10.3 of the text (pg 757-8). | align="right" style="padding-right: 1em;"|First Difference || <math>\,\! x[n] - x[n-1]</math> || <math>\,\! (1-z^{-1})X(z)</math> || A6 KB (938 words) - 06:59, 8 December 2008
- ...iodic, even) and systems (e.g. causal, linear) and an understanding of the difference between discrete and continuous time signals and systems. [1,2;a] ...ability to determine the impulse response of a differential or difference equation. [1,2;a]7 KB (1,017 words) - 10:05, 11 December 2008
- ...<math>K(\vec{x},\vec{z})</math> satisfies Mercer's condition if the above equation must hold for every <math>g(\vec{x})</math>. A kernel function <math>K(\vec ...data, all points within a fixed distance are considered. In practice, one difference is that datasets with large gaps get treated much different. kNN will pick31 KB (4,832 words) - 18:13, 22 October 2010
- What is the equation of these hyperplanes? Recall the hyperplane equation: <math>\{ \vec{x} | \vec{n} \cdot \vec{x} = const \}</math>9 KB (1,586 words) - 08:47, 17 January 2013
- ...ikelihood Estimation (MLE) and Bayesian parameter estimation. Despite the difference in theory between these two methods, they are quite similar when they are a ...rove useful in situations where observations alone is inadequate. The MAP equation is generally non-linear, and thus requires the use of iterative algorithms6 KB (995 words) - 10:39, 20 May 2013
- ...the ratio of the priors into a threshold, and rename the first half of the equation to <math>g_2</math>, so ...tive when <math>p(c_1)</math> or <math>p(c_2)</math> is close to 0, so the difference between them can be arbitrarily large.3 KB (621 words) - 08:48, 10 April 2008
- ...that is not the path you should follow. I suggest deriving the difference equation for each filter and defining the filtered image that way. The example file10 KB (1,738 words) - 22:44, 7 April 2008
- Consider <math>X(j\omega)</math> evaluated according to Equation 4.9: ...signal obtained by using <math>X(j\omega)</math> in the right hand side of Equation 4.8:1 KB (211 words) - 11:24, 24 March 2008
- [Note: I do not think the difference between <math>\partial</math> and <math>d</math> We may discretize this using a finite difference equation.10 KB (1,728 words) - 08:55, 17 January 2013
- ##[[LTI systems described by differential equations(CT) and difference equation(DT)_Old Kiwi]]4 KB (531 words) - 11:32, 25 July 2008
- [[Differential and difference equation - Arjun Bajaj]]54 B (7 words) - 21:15, 22 July 2009
- Form the difference quotient as follows, and note, letting <math>f(x,\xi) = e^{-x^2/4} \cos(2\p <b>Lemma 2:</b> <math>\phi</math> satisfies the differential equation <math>\phi '( \xi ) = -8\pi^2\xi \phi ( \xi ).</math><br>4 KB (797 words) - 05:54, 11 June 2013
- ...be silly to have an electron as a pet, because there is no permanent, core difference between the pet electron and any other electron in the universe. And as the ...salt leaving the tank is relatively obvious. Consequently the differential equation modeling the situation makes sense intuitively. But the explicit function t27 KB (4,384 words) - 17:47, 26 October 2009
- ...ion can then be modelized in to how many nonnegative integer solutions the equation No there, is a difference because the distinguish vs. indistinguish is a 3 vs 5 instead of 5 vs. 3.8 KB (1,428 words) - 09:43, 15 February 2010
- So are you saying that instead of having one 4 in the equation above, it should be 4^5 instead? ...number 28? How does the part "choosing five (but not six) numbers" make a difference?7 KB (1,342 words) - 08:41, 18 February 2010
- Matrix equation: <math>\vec{Y}\vec{c}=\vec{b}</math><br> Note! Removing the W vector, this means the difference of "class means" not "projection means"!<br>9 KB (1,536 words) - 07:26, 12 April 2010
- ...rier Transform, bilateral Laplace Transform. Discrete-time linear systems: difference equations, Discrete-Time Fourier Transform, bilateral z-Transform. Sampling ...iodic, even) and systems (e.g. causal, linear) and an understanding of the difference between discrete and continuous time signals and systems.3 KB (394 words) - 07:08, 4 May 2010
- As we see first term of this equation would be zero when <math>\mu_1 = \mu_2</math>; which shows class separabili ...en <math>\Sigma_1 = \Sigma_2</math>; which shows class separability due to difference of covariance matrices.5 KB (806 words) - 09:08, 11 May 2010
- ...1/s by expanding upon the previous square. Any thoughts as to why the sign difference? Thanks. ...in how to get this started? Do I need to go learn the integro-differential equation from sec 2.9?8 KB (1,384 words) - 17:16, 13 October 2010
- ...ose that the LTI filter <math>h_1</math> satifies the following difference equation between input <math>x[n]</math> and output <math>y[n]</math>. Consider a system described by the following equation3 KB (462 words) - 10:42, 11 November 2011
- Then, the difference equation of the LTI system with the impulse reponss of <math>h_2[n]</math> is,1 KB (200 words) - 11:20, 13 October 2010
- The difference between DFT and DTFT is that DFT has a discrete function with k and DTFT is ...of variable from s to z. Also properties of power series with differential equation is useful.3 KB (456 words) - 13:44, 30 April 2015
- Consider a DT LTI system described by the following equation :a. Directly substitute x[n] into the difference equation describing the system;4 KB (661 words) - 11:22, 30 October 2011
- ...l expression for the transfer function of a system defined by a difference equation with constant coefficients, and observed that the ROC of the transfer funct2 KB (329 words) - 12:04, 18 October 2010
- :a. Find the difference equation of this filter. :b. Find the frequency response <math>H(w)</math> from the difference equation by the following two approaches:3 KB (480 words) - 10:42, 11 November 2011
- a. The difference equation for this system is b. Find the frequency response <math>H(w)</math> from the difference equation:2 KB (437 words) - 12:00, 19 October 2010
- ...mple discrete-time LTI system defined by a constant coefficient difference equation (but not causal).2 KB (260 words) - 12:42, 22 October 2010
- ...<math>K(\vec{x},\vec{z})</math> satisfies Mercer's condition if the above equation must hold for every <math>g(\vec{x})</math>. A kernel function <math>K(\vec ...data, all points within a fixed distance are considered. In practice, one difference is that datasets with large gaps get treated much different. kNN will pick31 KB (4,787 words) - 18:21, 22 October 2010
- Express the system using a constant coefficient difference equation.2 KB (322 words) - 13:00, 26 November 2013
- Q1. Consider the following difference equation (Hint: Apply DTFT to the above equation)3 KB (479 words) - 10:42, 11 November 2011
- a. The difference equation for this system is1 KB (207 words) - 19:00, 26 October 2010
- Applying z inverse transform to both sides we obtain the difference equation d. Filter represented by this difference equation is IIR. Because the transfer function has one non-zero pole that is not can2 KB (441 words) - 05:42, 28 October 2010
- d. Find the difference equation for y[n] in terms of x[n], corresponding to this transfer function H(z). <b19 KB (3,208 words) - 11:23, 30 October 2011
- ...>y[n]=T_1[x[n]]</math> and <math>y[n]=T_2[x[n]]</math>, with the following difference equations, Then, calculate the impulse response and difference equation of the combined system <math>(T_1+T_2)[x[n]]</math>.3 KB (462 words) - 10:42, 11 November 2011
- And the difference equation for the combined system is1 KB (206 words) - 08:52, 4 November 2010
- ...erse transfer on both sides, we obtain the constant coefficient difference equation of the filter:2 KB (279 words) - 17:23, 3 November 2010
- a. Find a difference equation that can be used to implement this filter.<br/>3 KB (398 words) - 10:43, 11 November 2011
- c. From the difference equation -3 KB (504 words) - 19:54, 17 November 2010
- ...ts. Apply these to the X equation after you separate your variables. The T equation will come out the same as before. ...me as flux out). The part that i am confused about is that while solving X equation we will have non-zero solutions for all values of lambda .. so do we solve4 KB (773 words) - 17:23, 8 December 2010
- ...ar discrete parameter shift-invariant system have the following difference equation: <math class="inline">y\left(n\right)=0.7y\left(n-1\right)+x\left(n\right)< ...="inline">R_{\mathbf{YY}}\left(n+m,\; n\right)</math> depends on the time difference <math class="inline">m</math> . Thus, <math class="inline">\mathbf{Y}_{n}</6 KB (1,093 words) - 08:23, 27 June 2012
- a. Find a difference equation that can be used to implement this filter.3 KB (515 words) - 10:43, 11 November 2011
- .../math> with general input signal <math>x[m,n]</math> we get the difference equation of the filter.2 KB (391 words) - 07:16, 30 November 2010
- ...''i, ''equation (1) becomes ''i''a<sub>1 </sub>= -a<sub>2 </sub>, and equation (2) becomes ''i''a<sub>2 </sub>= a<sub>1</sub> ...ld know''': CHARACTERISTIC POLYNOMIAL OF A MATRIX '''and '''CHARACTERISTIC EQUATION OF A MATRIX.'''18 KB (2,963 words) - 07:22, 3 July 2012
- *Causal LTI systems defined by linear, constant coefficients difference equations: ...ECE301S11|Example of "typical" questions on causal LTI systems defined by difference equations]]18 KB (2,485 words) - 10:36, 11 November 2011
- #Causal CT/DT systems described by differential/difference equations (Sections 2.4.1, 2.4.2, 2.4.3) ...differential equation. For example, we could describe the system using an equation like this:10 KB (1,922 words) - 13:46, 2 February 2011
- ...utin|How to get the frequency response of a system defined by a difference equation]] ...ence_Equation_in_Class_Example|Issue with LTI system defined by difference equation]]6 KB (818 words) - 06:12, 16 September 2013
- ...m's diagram, and about how to represent DT systems defined by a difference equation using a system's diagram. It was pointed out that it would be nice to be ab1 KB (212 words) - 14:11, 28 February 2011
- *Causal LTI systems defined by linear, constant coefficients difference equations: ..._ECE301S11|Example of "typical" questions on causal LTI systems defined by difference equations]]12 KB (1,768 words) - 10:25, 22 January 2018
- a) Obtain a difference equation describing this system (i.e., the cascade). Justify your answer.4 KB (695 words) - 18:23, 7 March 2011
- ...on Causal LTI systems defined by a linear, constant coefficient difference equation = Consider the LTI system defined by the difference equation5 KB (793 words) - 10:28, 11 November 2011
- ...e where we got the expression for the frequency response from a difference equation. Look at all the steps we carried out in order to get that expression: to a1 KB (258 words) - 06:25, 11 March 2011
- *[[ECE438_Week11_Quiz|Describe a LTI system using Difference equation, transfer function and impulse response]] <br/>900 B (121 words) - 10:39, 11 November 2011
- ...sfer function of causal systems defined by constant coefficient difference equation is the outside of a circle in the complex plane, more specifically the circ1 KB (142 words) - 06:27, 11 September 2013
- Consider a DT LTI system described by the following equation :a. Directly substitute x[n] into the difference equation describing the system;5 KB (916 words) - 03:56, 31 August 2013
- d. Find the difference equation for y[n] in terms of x[n], corresponding to this transfer function H(z). <b11 KB (1,757 words) - 11:15, 30 October 2011
- *[[ECE438_Week11_Quiz|Describe a LTI system using Difference equation, transfer function and impulse response]] <br/>6 KB (801 words) - 22:04, 19 April 2015
- a) Write a difference equation that can be used to implement this filter.2 KB (270 words) - 03:59, 31 August 2013
- ==1. Here is the general equation of an ellipsoid== ==2. Here is the general equation of a cone==4 KB (664 words) - 05:16, 8 December 2011
- What is the equation of these hyperplanes? Recall the hyperplane equation: <math>\{ \vec{x} | \vec{n} \cdot \vec{x} = const \}</math>10 KB (1,604 words) - 11:17, 10 June 2013
- ...ikelihood Estimation (MLE) and Bayesian parameter estimation. Despite the difference in theory between these two methods, they are quite similar when they are a ...rove useful in situations where observations alone is inadequate. The MAP equation is generally non-linear, and thus requires the use of iterative algorithms6 KB (976 words) - 13:25, 8 March 2012
- [Note: I do not think the difference between <math>\partial</math> and <math>d</math> We may discretize this using a finite difference equation.10 KB (1,704 words) - 11:25, 10 June 2013
- ...'not'' enough to say that a given manifold is a sphere. To show that this difference is true, Poincaré introduced a new topological invariant – the fundament ...n analogous to the heat equation. Commonly discussed in physics, the heat equation quantifies the behavior of certain scalar values, such as temperature. Spe9 KB (1,549 words) - 06:55, 21 March 2013
- ...ar discrete parameter shift-invariant system have the following difference equation: <math class="inline">y\left(n\right)=0.7y\left(n-1\right)+x\left(n\right)<4 KB (616 words) - 10:19, 13 September 2013
- ...ar discrete parameter shift-invariant system have the following difference equation: <math class="inline">y\left(n\right)=0.7y\left(n-1\right)+x\left(n\right)< ...="inline">R_{\mathbf{YY}}\left(n+m,\; n\right)</math> depends on the time difference <math class="inline">m</math> . Thus, <math class="inline">\mathbf{Y}_{n}</3 KB (496 words) - 10:37, 13 September 2013
- ...pectral density still does not help me. How do you go from the difference equation y(m,n)=3x(m,n)-.99y(m-1,n)-.99y(m,n-1)+.9801y(m-1,n-1) to S_y=sum(r_y[k]e^( ;'''Q - I am confused about the difference between powder spectral density and powder spectrum? Are they the same?'''5 KB (957 words) - 08:11, 9 April 2013
- :More specifically, they are the values of Rx given in equation (14) of section 2.1. :A - You can get a difference here but in a very specific way. Note that if "u" is an eigenvector, so is3 KB (496 words) - 08:12, 9 April 2013
- ...is defined as the probability of ''y'' given that the state is ''x''. The equation for the conditional probability is given as: ...ce between ''p(y|x<sub>1</sub>)'' and ''p(y|x<sub>2</sub>)'' describes the difference in color values between the diamonds and spades in a stack of cards. Suppos5 KB (844 words) - 23:32, 28 February 2013
- ...that is not the path you should follow. I suggest deriving the difference equation for each filter and defining the filtered image that way. The example file10 KB (1,756 words) - 08:05, 9 April 2013
- Notice, that this matrix will not be square because there is a difference in dimensions of the input and output, i.e. the transformation is not injec Notice, that this matrix will not be square because there is a difference in dimensions of the input and output, i.e. the transformation is not injec18 KB (2,894 words) - 12:17, 3 March 2015
- #describe the difference between a combinational logic circuit and a sequential logic circuit #describe the difference between a feedback sequential circuit and a clocked synchronous state machi4 KB (586 words) - 07:32, 26 February 2014
- ...d water rate leaving T2? In this case there will be a -(12/200)*y2 term in equation for y2'. - Keith Rodrigues (same person as original question asker!) ...ank T1, it does not matter though. But for tank T2, it makes a significant difference.11 KB (1,916 words) - 14:05, 12 December 2013
- ...find cos(2wt) = -2*f(t) + 1. Then when you set the right side of the equation of the Laplace transform of the second derivative to be 2w<sup>2</sup> * co ...o I reworked it and found my mistake. When you use the triginometric difference formula, you will have one term vanish from sin (3pi) and the other has a c11 KB (2,033 words) - 14:02, 12 December 2013
- ...occurs in the equation, then the system is not uniquely determined by the difference equations. We then noted three different ways to uniquely determine the sys2 KB (300 words) - 05:47, 16 October 2013
- Consider a DT LTI system described by the following equation :a. Directly substitute x[n] into the difference equation describing the system;4 KB (638 words) - 10:04, 16 October 2013
- a) What does this imply regarding the difference equation representing the system (in discrete-time)?2 KB (353 words) - 21:19, 31 October 2013
- d. Find the difference equation for y[n] in terms of x[n], corresponding to this transfer function H(z). <b11 KB (1,764 words) - 12:08, 29 October 2013
- ...(z) has real coefficients (Since the system can be written as a difference equation with real coefficients). And the zeros of a polynomial with real coefficie (a) This implies that the difference equation must has the form1 KB (258 words) - 12:16, 7 November 2013
- a) Write a difference equation that can be used to implement this filter.2 KB (262 words) - 06:50, 15 November 2013
- ...th the operation guides are explained. Finally, the reasons of causing the difference of asymmetric cryptography and elliptic curve cryptography deepen the under ...ic curve over a group is the set of points which satisfy an elliptic curve equation, which takes the form:''y<sup>2</sup> = x<sup>3</sup> + x + b ''where19 KB (3,051 words) - 22:23, 4 December 2013
- ....jpg|800x298px|Combinations of edges with each rotation and its polynomial equation.]] ...alues of x<sub>p</sub><sup>n </sup>are going to be used for the final equation of burnside and eventually for Polya. The value for p is the length it take8 KB (1,451 words) - 14:48, 28 April 2014
- ...entical to those obtained by maximum likelihood estimation, the conceptual difference is significant. For maximum likelihood estimation, the parameter <math>\the As the above equation suggests, we can use the information provided by the training data to help8 KB (1,268 words) - 08:31, 29 April 2014
- ...cepts as '''miss''' rate and '''false alarm''' rate respectively. The only difference is representing the expectation values as fraction as follow: The equation above is easily proved as follow:15 KB (2,306 words) - 10:48, 22 January 2015
- The difference between the mean of the estimator and the value of the parameter is known a From Equation 1 and 2, we can find the ML estimator for the two parameters:14 KB (2,356 words) - 20:48, 30 April 2014
- The difference between the mean of the estimator and the value of the parameter is known a From Equation 1 and 2, we can find the ML estimator for the two parameters:19 KB (3,418 words) - 10:50, 22 January 2015
- Consider a DT LTI system described by the following equation :a. Directly substitute x[n] into the difference equation describing the system;4 KB (640 words) - 06:37, 3 November 2014
- d. Find the difference equation for y[n] in terms of x[n], corresponding to this transfer function H(z). <b11 KB (1,790 words) - 08:52, 10 November 2014
- c) Obtain the difference equation describing the relationship between the output of the system y[n] and the i1 KB (210 words) - 07:28, 10 November 2014
- ...er A and Filter B to the case of any causal system defined by a difference equation with constant coefficients .2 KB (221 words) - 07:30, 10 November 2014
- Today we finished our discussion of causal systems defined by difference equation with constant coefficients. We ten started talking about digital speech and2 KB (225 words) - 07:32, 10 November 2014
- a) What does this imply regarding the difference equation representing the system (in discrete-time)?3 KB (462 words) - 07:25, 17 November 2014
- c) Obtain the difference equation describing the relationship between the output of the system y[n] and the i '''c) Obtain the difference equation describing the relationship between the output of the system y[n] and the i5 KB (860 words) - 10:26, 20 November 2014
- a) Write a difference equation that can be used to implement this filter. a) Write a difference equation that can be used to implement this filter.5 KB (545 words) - 12:20, 9 December 2014
- ...a polynomial with power of 6. In this case, one will get 6 roots from the equation that the polynomial equals 0. All 3 pairs of roots can be written in the fo ...(z) has real coefficients (Since the system can be written as a difference equation with real coefficients). And the zeros of a polynomial with real coefficie6 KB (1,031 words) - 11:27, 29 November 2014
- a) Write a difference equation that can be used to implement this filter. a) Write a difference equation that can be used to implement this filter.10 KB (1,181 words) - 16:07, 2 December 2014
- d) What is the minimum time difference <math>t_1-t_2</math> such that <math>\mathbf{Y}(t_1)</math> and <math>\math <math>\Rightarrow</math> The minimum time difference is <math>\frac{\pi}{\Omega}</math> as <math>n=1</math>.8 KB (1,336 words) - 01:53, 31 March 2015
- Consider a DT LTI system described by the following equation :a. Directly substitute x[n] into the difference equation describing the system;4 KB (625 words) - 13:17, 16 November 2015
- a) What does this imply regarding the difference equation representing the system (in discrete-time)?3 KB (449 words) - 11:39, 20 November 2015
- a) Write a difference equation that can be used to implement this filter. a) Write a difference equation that can be used to implement this filter.4 KB (416 words) - 11:50, 20 November 2015
- d. Find the difference equation for y[n] in terms of x[n], corresponding to this transfer function H(z). <b11 KB (1,782 words) - 00:17, 23 November 2015
- ...This effect can be achieved by implementing a comb filter. The difference equation for this simple comb filter can be written as follows: ...ter has a non-constant delay D, which changes periodically. The difference equation for this simple comb filter can be written as follows:2 KB (362 words) - 22:18, 29 November 2015
- ...A FIR filter with a single delay will achieve this effect. The difference equation for the FIR filter can be written as follows [3] : ...ter has a non-constant delay D, which changes periodically. The difference equation for this flanger filter can be written as follows:3 KB (405 words) - 23:49, 29 November 2015
- a) Write a difference equation that can be used to implement this filter. a) Write a difference equation that can be used to implement this filter.10 KB (1,157 words) - 22:56, 2 December 2015
- The goal is to minimize this equation. However, there are some constraints that exist. Let’s say the warehouse 1) Find the difference between the lowest two cells in the rows and columns15 KB (2,613 words) - 22:35, 24 April 2016
- Consider a DT LTI system described by the following equation :d. Find the difference equation for y[n] in terms of x[n], corresponding to this transfer function H(z).3 KB (503 words) - 15:44, 8 November 2016
- a) What does this imply regarding the difference equation representing the system (in discrete-time)?3 KB (460 words) - 13:20, 18 November 2016
- *Take the Fourier transform of the left-hand-side and right-hand-side of the equation. Then use the fact that <math>\frac{{\mathcal Y}(\omega)}{{\mathcal Y}(\ome *Take the z-transform of the left-hand-side and right-hand-side of the equation. Then use the fact that <math>\frac{Y(z)}{X(z)}=H(z)</math> to get the tran9 KB (1,559 words) - 14:33, 24 November 2016
- ...f degree 6 in <math>z^{-1} </math>. Thus, it has 6 roots (i.e. solving the equation polynomial=0 will yield 6 solutions). These 6 roots can be divided into 3 p ...al coefficient, then <math>p(z_0)=0</math>. Conjugating both sides of the equation we get that <math>(p(z_0))*=0*=0</math>. But since the polynomial p(x) has7 KB (1,236 words) - 17:19, 29 November 2016
- b) Write a differential equation which describes the behavior of <math> \lambda_x</math> as a function of <m ...f <math>u(x)</math> and <math>\lambda_0</math> by solving the differential equation.3 KB (566 words) - 16:39, 18 May 2017
- a). Make 2d Z transform of the original 2D difference equation5 KB (887 words) - 11:08, 13 August 2018
- '''·''' Know the difference between a general solution and a particular solution satisfying the initial ...rom the first example from 1.1, here we still suppose that we had a linear equation <math>ax+b=0</math> with respect to <math>x</math>.5 KB (852 words) - 22:39, 16 November 2017
- ...size="3px"> An equilibrium point is a constant solution to a differential equation. Hence, for an ODE system, an equilibrium point is going to be a solution o ...we start slightly differently from <math>(x_0,y_0)</math> and measure the difference to be more accurate. Hence <math>\epsilon(t)</math> and <math>\mu (t)</math10 KB (1,613 words) - 23:16, 21 November 2017
- <math>\begin{equation} \end{equation}</math>13 KB (2,307 words) - 00:30, 18 January 2018
- Mathematically, we have a model, which is called the Logistic Equation. For the moment, let’s just ignore the equation f(x) on the right. We’ll cover the mathematical part in the later section10 KB (1,532 words) - 22:51, 2 December 2018
- ...gether and divide the sum by nine. What it does to the image is reduce the difference of the value of one pixel with the values of the pixels around it. This filter is used to make the difference between the value of the pixel in the middle and the valued of the pixels a4 KB (624 words) - 09:11, 6 December 2019
- One area of confusion is the difference between the Fourier series and the Fourier transform. The Fourier transform Notice that this is simply the same equation as the Fourier transform, but without the negative in the exponent. I like12 KB (2,051 words) - 14:20, 5 December 2020
- The unit circle is simply connected and path connected. The equation is x² + y² = 1, and the circle is symmetrical about the origin with a rad ...up generally depends on the choice of the base point, however, there is no difference up to the isomorphism, which is a map that preserves sets. This is in the t12 KB (1,977 words) - 11:28, 6 December 2020
- ...into an integer m such that 0 ≤ m ≤ n by padding scheme. The following equation how you encrypt m into a ciphertext called c using your mom’s public keys With these numbers, there is an equation that we call it Euler's theorem and it looks like this:18 KB (3,085 words) - 15:13, 7 December 2022
- ...we combine the total probability with Bayes' Theorem we get the following equation which will be used in the next examples. ...ou don't have the disease is 1% P(+|D'). By plugging these values into the equation for Bayes' Rule, we can find the probability of having the disease given we14 KB (2,441 words) - 16:10, 14 December 2022
- To elaborate on what Newton did, this is the equation for a unit circle: ...edles) ≈ 1/(π/2) = 2/π. We can input our real data and rearrange this equation to approximate pi. This kind of calculation isn't very practical, but if y18 KB (2,815 words) - 11:22, 8 December 2022
