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- ...X_5[0]e^{j2\pi n0/5} + X_5[1]e^{j2\pi n1/5} + X_5[2]e^{j2\pi n2/5} + X_5[3]e^{j2\pi n3/5} + X_5[4]e^{j2\pi n4/5} \right ) \\ X_5[1]=5 \mbox{, and } X_5[0]=X_5[2]=X_5[3]=X_5[4]=09 KB (1,594 words) - 15:36, 20 October 2015
- \mathcal{Y}(\omega) =\frac{1}{4} \sum_{k=0}^{3} \mathcal{X} \left (\frac{\omega-k2\pi}{4} \right ) ==Question 3==6 KB (945 words) - 11:40, 19 October 2015
- ...modeled as an impulse train passing through the vocal tract. While in both cases vocal tract selects the noise heard, in voiced sound the impulse train dete ...ally eliminated almost completely. Since the noise is not periodic in most cases, any substantial noise is effectively multiplied by a zero. The probability9 KB (1,777 words) - 23:23, 21 November 2015
- \begin{cases} \end{cases}5 KB (766 words) - 22:18, 7 March 2016
- <math> f(d) = 3 </math> <br /> * Analysis of social structures (special cases may include schools, military, parties, events, etc.).13 KB (2,051 words) - 22:06, 24 April 2016
- *In some cases, we need pre-processing to transform the data in some way to get the statis ==3. algorithm assumption==8 KB (1,405 words) - 22:56, 27 November 2016
- ...essed signals. In this project, I want to explore what will happen in both cases. In order to feel it more directly, I decided to process some music signals ==3. Result==3 KB (553 words) - 22:41, 26 November 2016
- \bar{E}=\begin{cases} \end{cases}} \left(\frac{V}{m}\right)4 KB (646 words) - 23:24, 25 April 2017
- <math>\quad rank=2\ne \mbox 3</math> \qquad rank<3 \qquad must\;contain\;\lambda=-14 KB (588 words) - 00:10, 21 May 2017
- <math>\begin{cases} \end{cases}</math>4 KB (557 words) - 01:01, 21 May 2017
- <math>\begin{cases} \end{cases}</math>7 KB (1,126 words) - 05:45, 22 May 2017
- <math>\begin{cases} \end{cases}</math>3 KB (393 words) - 11:33, 18 June 2017
- & = \begin{cases}Ar\cos\theta, r<a \hspace{3cm} \leftarrow\text{ no singularity at }r=0\\ \end{cases}4 KB (702 words) - 17:02, 17 June 2017
- ...{2cm}r\le a\\-E_0r\cos\theta+\frac{B\cos\theta}{r^2}\hspace{2cm}r\ge a\end{cases} <math>Aa = -E_0a+\frac{B}{a^2}\to A = -E_0 + \frac{B}{a^3}</math>4 KB (642 words) - 10:44, 18 June 2017
- ...ega}\bigg)\\\sigma\to\infty\to\epsilon_c\to\infty\\\text{ then }M_c=0 \end{cases}</math> 3) <math>\nabla\times\bar{H} = \bar{J}+\frac{\partial D}{\partial t}\hspace{13 KB (591 words) - 11:21, 18 June 2017
- ...ega}\bigg)\\\sigma\to\infty\to\epsilon_c\to\infty\\\text{ then }M_c=0 \end{cases}</math> 3) <math>\nabla\times\bar{H} = \bar{J}+\frac{\partial D}{\partial t}\hspace{13 KB (591 words) - 11:24, 18 June 2017
- \rho=\begin{cases} qN_{D2} & x_{n1}\le x\le x_{n2}\text{ region 3}\\2 KB (385 words) - 10:52, 6 August 2017
- In both cases ‘R’ refers to the radius if the graph were to be revolved around the gi ==3. References==3 KB (576 words) - 20:37, 3 October 2017
- In both cases ‘'''<math>R</math>'''’ refers to the "'''radius'''" if the graph were t ==3. References==4 KB (664 words) - 09:42, 19 January 2018
- <math>=\begin{cases} undefined, & if & s≤2 \end{cases} </math>.6 KB (1,071 words) - 18:26, 22 November 2017
- ...ac{dx}{dt}}{t} - \frac{x}{t^2}</math>, <math>\frac{d^2y}{dt^2}=\frac{2x}{t^3} - \frac{2\frac{dx}{dt}}{t^2} + \frac{\frac{d^2y}{dt^2}}{t}</math>. Substitute them into ODE, hence <math>t^2 (lnt+1) (\frac{2x}{t^3} - \frac{2\frac{dx}{dt}}{t^2} + \frac{\frac{d^2x}{dt^2}}{t}) + t (2lnt+1) (7 KB (1,254 words) - 19:49, 22 November 2017
- <math>y(t)=\begin{cases} \end{cases}</math><br />5 KB (985 words) - 12:38, 30 November 2018
- <small>''Figure 3 Merma, 2004 P80 The logistic equation Adapted from Northwestern University The following graph demonstrates four different cases with θ>1 or θ<1.10 KB (1,532 words) - 22:51, 2 December 2018
- Question 3: Optimization6 KB (899 words) - 01:04, 24 February 2019
- ...ve all permutations pertaining to who draws which name and determine which cases will have every person draw someone else's name. ...ginal" spot. These two permutations are called derangements of <math>\{1,2,3\}</math>.6 KB (996 words) - 00:53, 3 December 2018
- ...ta^2(n+5)^2]}+\dfrac{sin[(1-\beta)\pi(n+0.5)/2]}{\pi[(n+.5)-4\beta^2(n+.5)^3]},-\infty<n<\infty</math> with <math>\beta=0.5</math> <br> \begin{cases}4 KB (738 words) - 15:34, 19 February 2019
- Question 3: Optimization <math>\begin{cases}1 KB (178 words) - 11:45, 25 February 2019
- Question 3: Optimization Subject to <math>x_1+x_2-2<=0</math> and <math>x_1+2x_2-3<=0</math><br>2 KB (247 words) - 11:48, 25 February 2019
- \begin{cases} \end{cases}1 KB (190 words) - 16:32, 19 February 2019
- [[File:windowSmall.png|400px|thumb|right|Filtered Image using LPF (Window = 3 pixels)]] B = imData(:,:,3);7 KB (1,006 words) - 19:22, 7 April 2019
- ...signal will be a Double Sided modulation that carries audio files 1, 2 and 3. You remember this at a cosine carrier from class. The second radio signal Radio Signal 1 will carry file 1 at 1000Hz, file 2 at 4000Hz, and file 3 at 7000.1 KB (185 words) - 17:30, 25 April 2019
- <math>2𝜋T_1f_{max} < \frac{𝜋}{D}</math> (3) ...want to send them the “Happy Birthday” song which has <math>f_{max} = 3,000</math> Hz. As before, the scientists would like to downsample the song16 KB (2,611 words) - 14:11, 12 November 2019
- ===3. Formula Visualization=== ...und this circle at a certain frequency. For example, let <math>g(t) = \sin(3*2\pi t) + 1</math> (graph pictured below). To wrap ''g(t)'' around the circ12 KB (2,051 words) - 14:20, 5 December 2020
- | [[Walther_MA271_Fall2020_topic12#3.0 Elliptical Curves and Fields|3.0 Elliptical Curves and Fields]] ...= x<sup>3</sup> + Ax + B with distinct roots (which is to say Δ = 4A<sup>3</sup> + 27B<sup>2</sup> is nonzero). An additional point Ό at infinity is13 KB (2,172 words) - 17:46, 30 May 2021
- | [[Walther_MA271_Fall2020_topic17#3. Generating Fractals|3. Generating Fractals]] ...li. There are different types of self-similarity and many of them describe cases where the copies are not identical. <br />24 KB (3,663 words) - 01:01, 7 December 2020
- ...<math>j</math> do not communicate. The diagrams below illustrate these two cases. ...we can see that after transiting from state 1 to state 2, the state 2 and 3 become a closed set; namely, they are never going to return to state 1; the2 KB (390 words) - 02:57, 6 December 2020
- 3. When all events have no outcomes in common. 3. P(A∨B) = P(A) + P(B) - P(A∧B). When A and B are not mutually exclusive14 KB (2,441 words) - 16:10, 14 December 2022
- =&\begin{cases} \end{cases}26 KB (4,138 words) - 08:25, 6 December 2022
- ...example of an AI art model, but when we say model what do we mean? In most cases, especially in recent years, we are referring to a neural network or a comb ...1 neuron. Our input vector is <math> \begin{bmatrix} 0 \\ 0.1 \\ 0.2 \\ 0.3 \\ 0.4 \\ 0.5 \\ 0.6 \\ 0.7 \\ 0.8 \\ 0.9 \end{bmatrix} </math>. The weight15 KB (2,564 words) - 11:25, 29 November 2022
