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- =How to type math equations and symbols on Rhea= To type in math symbols on Rhea, use latex code in between math tags as follow3 KB (483 words) - 05:02, 23 September 2011
- '''From Bayes' Theorem to Pattern Recognition via Bayes' Rule''' <br /> ...ayes. For an accurate and detailed information about Bayes, you might want to read his biography by Prof. D.R. Bellhouse '''[1]'''14 KB (2,241 words) - 09:42, 22 January 2015
- How to Generate N-D Gaussian Data in Two Category Case ==[https://www.youtube.com/watch?v=7l2u8p2AuSw Link to Video in Youtube]==970 B (139 words) - 09:39, 22 January 2015
- Bayes Rule to Minimize Risk ==[https://www.youtube.com/watch?v=auN5qUD2Ae0 Link to Video in Youtube]==2 KB (226 words) - 09:45, 22 January 2015
- = <center>Introduction to local (nonparametric) density estimation methods</center> = ...dal probability distribution with a simple function. In this case, we need to estimate the density function in the nonparametric way, which means that th15 KB (2,345 words) - 09:52, 22 January 2015
- '''Introduction to Maximum Likelihood Estimation (MLE)''' <br /> Introduction to Maximum Likelihood Estimation1 KB (193 words) - 09:49, 22 January 2015
- ==[https://www.youtube.com/watch?v=0pOAAjWeVKI Link to Video in Youtube]== [[2014_Spring_ECE_662_Boutin|Back to ECE662, Spring 2014]]967 B (131 words) - 09:39, 22 January 2015
- <font size="4">From KNN to Nearest Neighbor Classification </font> ...''' <br>The K-nearest neighbor (KNN) and nearest neighbor (NN) approaches to data classification are closely related, with the nearest neighbor approach6 KB (1,013 words) - 09:55, 22 January 2015
- The principle of how to generate a Gaussian random variable ...Box Muller transform to generate Gaussian random samples in this slecture. To do this, we will introduce inverse transform sampling which is a bas method8 KB (1,189 words) - 09:39, 22 January 2015
- '''Introduction to Bayes' Rule in Layman's Terms''' <br /> [http://youtu.be/qql6VDUhYco Link to Video on Youtube]892 B (116 words) - 09:42, 22 January 2015
- Introduction to Nonparametric (Local) Density Estimation ==[http://youtu.be/CneNS5ByFkY Link to Video on Youtube] ==893 B (112 words) - 09:53, 22 January 2015
- ...Introduction to Cryptography_Kathryn Marsh and Divya Agarwal |Introduction to Cryptography]] ...w if you have any questions, if you notice any errors or if you would like to discuss a topic further.1,006 B (133 words) - 04:17, 8 June 2015
- =[https://www.youtube.com/watch?v=b99QPb2493g Link to video on youtube]= ...military time). So this is a finite system and we need modular arithmetic to deal with it. Let's look at an easy example.6 KB (886 words) - 04:16, 24 June 2015
- ...ar_Introduction to Crpytography_Divya Agarwal and Katie Marsh|Introduction to Crpytography]] ...w if you have any questions, if you notice any errors or if you would like to discuss a topic further.994 B (133 words) - 04:31, 9 June 2015
- <center><font size= 4>2. Introduction to Cryptography</font size> ==Introduction to cryptography ==3 KB (405 words) - 10:03, 19 June 2015
- ...graphy_Paar_Introduction to Galois Fields for AES_Katie Marsh|Introduction to Galois Fields for AES]] ...w if you have any questions, if you notice any errors or if you would like to discuss a topic further.976 B (139 words) - 03:36, 11 June 2015
- <center><font size= 4>6.1 Introduction to Galois Fields for AES </font size> =[https://www.youtube.com/watch?v=btqflmioWb8 Link to video on youtube]=6 KB (1,012 words) - 10:15, 29 June 2015
- ...ar_Introduction to Cryptography_Divya Agarwal and Katie Marsh|Introduction to Cryptography]] ...w if you have any questions, if you notice any errors or if you would like to discuss a topic further.1,018 B (137 words) - 06:02, 17 June 2015
- Introduction to Key Schedule by Prof. Paar. =[https://youtu.be/GGtKeWizkaY Link to video on youtube]=3 KB (505 words) - 04:33, 18 June 2015
- ...als related to z-transforms that discussed during class. The third part is to show different types of truncation windows and some basic analysis of them. ...responding frequencies (shown below). When the A440 pitch standard is used to tune a musical instrument, Middle C has a frequency around 261.6 Hz. Middle6 KB (1,002 words) - 21:08, 29 November 2015
- ...use the signal processing technique in Matlab to add several sound effects to music. I will introduce three basic sound effects, namely, echo, flanger an low_n = round(0.0*fs); %Creating the vector according to which delay is varied2 KB (362 words) - 21:18, 29 November 2015
- ...se the signal processing technique in Matlab to create these sound effects to your music.3 KB (405 words) - 22:49, 29 November 2015
- we will learn how to use visual technique in Matlab to Smooth and Sharpen an image . ...look of an image. However, a 3X3 median filter is the filter we are going to use in this operation.2 KB (316 words) - 23:15, 29 November 2015
- we will learn how to use visual technique in Matlab to Smooth and Sharpen an image . ...look of an image. However, a 3X3 median filter is the filter we are going to use in this operation.2 KB (316 words) - 23:25, 29 November 2015
- ...n text. This proved to be a challenge for several reasons which I will get to later. What I ended up doing instead was finding the 1st and 2nd formants i ...essence, it was difficult to get through the literature and understand how to accurately map a word, preserving each sound. Charts were found for vowels,3 KB (576 words) - 22:56, 23 April 2017
- == <div style="text-align:center"> Introduction to Differential Equations </div> == ...e textbook and my lecture notes. After winning the battle, now I am trying to build up those concepts again and explain them in an easier and more concis6 KB (1,070 words) - 22:06, 21 November 2017
- == <div style="text-align:center"> Basic Methods to Solve 1st-Order ODEs </div> == ...n what is a differential equation and how its solutions conduct. It's time to solve it, like plenty of linear equations we have done before. </font>10 KB (1,764 words) - 13:31, 17 November 2017
- ...le="text-align:center"> The Existence and Uniqueness Theorem for Solutions to ODEs </div> == <font size="3px"> Before starting this tutorial, you are supposed to be able to:5 KB (852 words) - 21:39, 16 November 2017
- == <div style="text-align:center"> Introduction to ODEs in Higher Orders </div> == ...gher order, like <math>x^2</math>, <math>x^3</math>, ..., <math>x^n</math> to obtain higher-ordered equations. Similarly, the differential term <math>\fr2 KB (283 words) - 01:01, 17 November 2017
- == <div style="text-align:center"> Introduction to ODEs in Higher Orders </div> == ...gher order, like <math>x^2</math>, <math>x^3</math>, ..., <math>x^n</math> to obtain higher-ordered equations. Similarly, the differential term <math>\fr4 KB (712 words) - 22:15, 21 November 2017
- == <div style="text-align:center"> Advanced Methods to Solve 2nd-Order ODEs </div> == ...y differential equations. This tutorial will give three particular methods to solve ODEs in the second order, which was also mentioned in 5.0. Theories a7 KB (1,254 words) - 18:49, 22 November 2017
- ...rams to Analyze Sound Signals_Emma Gihl|Sound & Color - Using Spectrograms to Analyze Sound Signals]] ...w if you have any questions, if you notice any errors or if you would like to discuss a topic further.1 KB (157 words) - 11:02, 30 November 2017
- <center><font size= 4>Sound & Color - Using Spectrograms to Analyze Sound Signals</font size> ==[[2017_Fall_ECE_438_Boutin_Sound & Color - Using Spectrograms to Analyze Sound Signals_Emma Gihl_comments | Questions and comments]]==1 KB (211 words) - 11:02, 30 November 2017
- ...noise by filtering. However, this page will demonstrate the opposite - how to create this kind of noise. Here is an example of salt and pepper noise from ...trying to create the noise for a salt and pepper effect. Which pixels are to be changed with noise? How are these pixels changed?3 KB (497 words) - 00:52, 4 December 2017
- ...able to create a song. Below is an example of MATLAB code that can be used to play the star spangled banner. <br /> <br /> ...This is because during certain instances in the song, the same note needs to be held for different lengths of time. <br />3 KB (603 words) - 23:55, 2 December 2018
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- ...e been more difficult to solve before. This, however, doesn't apply solely to the field of mathematics. Since many areas of study utilize the helpfulness ...lationships between values, there are many ways for us to create functions to use with Feynman's rule.2 KB (388 words) - 17:22, 4 December 2020
- =Applications to Physics & Mathematics= ...ions and introduce ideas from complex numbers to simplify their functions. To give an example of how this is done, let's look at the following example.3 KB (525 words) - 02:12, 5 December 2020
- =Introduction to Nyquist’s Theorem= ...a jump from the continuous form of time that is apparent in the real world to the discrete form of time used in measurement. Nyquist's Theorem makes this2 KB (375 words) - 20:03, 6 December 2020
- = Concepts to Know Before Learning About Penrose Tiling = To better understand this, a basic explanation of translational symmetry shoul6 KB (902 words) - 00:51, 6 December 2020
- [[Walther_MA271_Fall2020_topic9|Back to main page]]488 B (71 words) - 22:24, 5 December 2020
- ...ents in mathematics that were true but for which no proof existed. A shock to the mathematics community at the time and the subject of widespread debate. ...s Incompleteness Theorem argues that no mathematical system can be proven to be both complete and consistent. This document will include a discussion o1 KB (182 words) - 01:37, 6 December 2020
- ...{t}</math> and the observable output state <math>X_{t}</math> only relates to the unobservable state <math>S_{t}</math>. A typical hidden Markov chain mo ...conducted during these days is called the observation sequence (correspond to <math>X_{1}, X_{2}, X_{3}, ...</math> in the diagram above).3 KB (568 words) - 12:57, 6 December 2020
- =Introduction to Fischer's Information= ...ta. Data is usually a fact or a collection of facts. The data is not going to tell you much and no conclusion will be made with simply the data. Informat2 KB (261 words) - 21:03, 6 December 2020
- ...is still much to be learned about the field of statistics, so if you wish to learn more on this topic, check out the sources page. [[Walther_MA271_Fall2020_topic13|Back To Fisher information]]581 B (87 words) - 22:06, 6 December 2020
Page text matches
- ---- To find a course page, click on Main Page in the menu then click Course Pages Welcome to [http://www.projectrhea.org/ Rhea]'s Wiki2 KB (209 words) - 12:07, 9 September 2022
- =How to type math equations and symbols on Rhea= To type in math symbols on Rhea, use latex code in between math tags as follow3 KB (483 words) - 05:02, 23 September 2011
- ...t cetera, Et cetera, Et cetera. There are so many ways to use a class wiki to enhance teaching and learning! If you are an instructor for a course and want to create a class wiki, click on "create a new course page" in the left-side b13 KB (1,570 words) - 12:53, 7 August 2018
- Please use this page to test out your new ideas.438 B (64 words) - 09:47, 12 January 2017
- Welcome to the [[MA375|MA 375]] course page. Preferred Browser is Firefox version 3. If you create a page that belong to this course, please write4 KB (606 words) - 11:19, 2 August 2020
- [[Homework_1_ECE301Fall2008mboutin|Back to HW1, ECE301]]1,007 B (151 words) - 12:45, 24 February 2015
- <math>P_\infty(x(t)) = \lim_{T \to \infty} (\frac{1}{2T} \int_{-T}^T |x(t)|^2\,dt)</math> ...^2\,dt) = \lim_{T \to \infty} (\frac{1}{2T} \int_{-T}^T 1\,dt) = \lim_{T \to \infty} (\frac{1}{2T} t|_{-T}^T)</math>4 KB (734 words) - 14:54, 25 February 2015
- ...}^\infty |\sqrt{t}|^2\,dt=\int_0^\infty t\,dt</math> (due to sqrt limiting to positive Real numbers) <math>P\infty=lim_{T \to \infty} \ 1/(2T)\int_{-T}^{T} |x(t)|^2\,dt</math>1 KB (261 words) - 14:09, 25 February 2015
- ...</math> = <math>\frac{1}{2} t^2</math> evaluated from -<math>\infty</math> to +<math>\infty</math> = <math>\infty</math> P<math>\infty</math> = lim T<math>\to</math><math>\infty</math> <math>\frac{1}{2T}</math> <math>\int_{-T}^{T}\ td6 KB (975 words) - 14:35, 25 February 2015
- Return to Main Page104 B (14 words) - 14:29, 25 February 2015
- <math>P\infty=\lim_{T \to \infty}\frac{1}{2*T}\int_{-T}^T |x(t)|^2dt</math> <math>P\infty=\lim_{T \to \infty}\frac{1}{2*T}\int_{-T}^T |\sqrt(2t)u(t)|^2dt</math>2 KB (408 words) - 16:20, 25 February 2015
- ...ty = lim_{T \to \infty} \ \frac{1}{2T} \int_{-T}^T |tu(t)|^2\,dt = lim_{T \to \infty} \ \frac{1}{2T} \int_{0}^T t^2\,dt =\frac{\infty}{\infty}=1</math> <math>P_\infty = lim_{T \to \infty} \ \frac{1}{2T} \int_{-T}^T |tu(t)|^2\,dt</math>1 KB (241 words) - 16:06, 25 February 2015
- <math>P_{\infty}=\lim_{T \to \infty} \ \frac{1}{2T}\int_{-T}^{T}|x(t)|^2\,dt</math> <math>P_{\infty}=\lim_{T \to \infty} \ \frac{1}{2T}\int_{-T}^{T}|2t^2|^2\,dt</math>2 KB (415 words) - 16:05, 25 February 2015
- <math>P\infty=lim_{T \to \infty} \ \frac{1}{(2T)}\int_{-T}^T|5sin(t)|^2dt</math> <math>P\infty=lim_{T \to \infty} \ \frac{1}{(2T)}\int_{-T}^T \frac{25}{2} + \frac{25cos(2t)}{2}dt</m3 KB (432 words) - 16:55, 25 February 2015
- In other words, if you restrict the z-transoform to the unit circle in the complex plane, then you get the Fourier transform (D1 KB (216 words) - 13:49, 1 May 2015
- [[ECE|Back to ECE]] [[Meta Course List|Back to Course List]]1,014 B (121 words) - 11:11, 27 March 2015
- ...ng when you click the "create a child page" link) as well as a return link to its parent. ...ith. For convenience, the child page also automatically gets a return link to the page for ECE111Fall09JohnSmith. Of course, all of the corresponding sou2 KB (350 words) - 05:48, 12 August 2009
- ...n to Statistical Pattern Recognition" by K. Fukunaga_OldKiwi|"Introduction to Statistical Pattern Recognition" by K. Fukunaga]] *[[ANN_Simulink_examples_ece662_Sp2010|A jump start on using Simulink to develop a ANN-based classifier]]3 KB (429 words) - 08:07, 11 January 2016
- ...n's ECE662 Spring 2014 course at Purdue University. Examples were designed to reflect the theories taught in the class. To classify the dataset of feature vectors with ''C'' labels, we choose class17 KB (2,590 words) - 09:45, 22 January 2015
- ...formulas in the table have a link next to them: these links will bring you to the most relevant Rhea pages for each formula. ...las to form new tables for your classes, projects, or exams. If you intend to use these formulas outside of [http://www.projectrhea.org/learning/about_Rh1 KB (201 words) - 12:05, 3 March 2015
- [[Meta Course List|Back to the Meta Course List]]570 B (72 words) - 09:10, 12 January 2015
- with links to relevant Rhea tutorials and exercises. *[[Partial Fraction Expansion|A guide to partial fraction expansion]]3 KB (294 words) - 14:44, 12 March 2015
- [[ECE301|Go to Relevant Course Page: ECE 301]] [[ECE438|Go to Relevant Course Page: ECE 438]]29 KB (4,474 words) - 12:58, 22 May 2015
- ...al_power_CT|(info)]] CT signal (average) power ||<math>P_\infty = \lim_{T \to \infty} \frac{1}{2T} \int_{-T}^{T} \left | x (t) \right |^2 \, dt </math> ...ng-right: 1em;" | Average value of a CT signal ||<math>\bar{x} = \lim_{T \to \infty} \frac{1}{2T} \int_{-T}^{T} x (t) \, dt </math>2 KB (307 words) - 13:54, 25 February 2015
- [[Collective_Table_of_Formulas|Back to Collective Table]]4 KB (635 words) - 11:57, 24 February 2015
- [[Collective Table of Formulas|Back to Collective Table]]8 KB (1,130 words) - 10:45, 24 August 2016
- [[Collective_Table_of_Formulas|Back to Collective Table]]13 KB (1,854 words) - 10:58, 24 February 2015
- ...="2" style="background: #eee;" | [[Taylor_maclaurin_series|Taylor Series]] to remember ...(a,b),f_y(a,b) , \cdots \text {denote the partial derivatives with respect to } x ,\ y \cdots </math>15 KB (2,182 words) - 17:14, 27 February 2015
- [[Collective_Table_of_Formulas|Back to Collective Table]]2 KB (339 words) - 10:11, 18 September 2015
- It is important to complex numbers in many courses, including ** [[HW1.3 Cory Ocker - The kryptonite to difficult complex numbers is MATLAB_ECE301Fall2008mboutin]]7 KB (963 words) - 06:36, 4 May 2015
- *[[Norm_of_a_complex_exponential_ECE438F11|Using Euler's formula to compute the norm of a complex exponential (practice problem)]] from [[ECE43 *[[Magnitude_complex_numbers_ECE301S11|Using Euler's formula to compute the norm of a complex numbers (practice problem)]] from [[ECE301]]2 KB (249 words) - 17:27, 23 February 2015
- == Interesting pages related to ECE311== [[ECE|Back to ECE]]695 B (89 words) - 10:54, 24 February 2015
- '''Changes to office hours''' From January 13, 2020 to May 2, 2020713 B (92 words) - 12:43, 14 January 2020
- *They may be handwritten or typed, but must be readable to receive credit. ...nerated using MATLAB unless otherwise stated. Graphs must also be numbered to the corresponding problem.432 B (69 words) - 13:41, 9 July 2017
- *Introduction to [[Matrix]] *Introduction to [[Linear transformation|Linear Transformation]]s739 B (93 words) - 20:30, 4 March 2015
- [[Collective Table of Formulas|Back to Collective Table]]3 KB (491 words) - 11:54, 3 March 2015
- ...m. Read [http://laplacian.wordpress.com/2009/01/10/how-shazam-works/ this] to learn more. The original technical paper is available [http://www.ee.columb *A [http://www.waves.com/content.aspx?id=5798 software to remove the sound of vuvuzelas] at World Cup of Soccer, 2010 (see this [[Vuv1 KB (184 words) - 18:33, 16 March 2015
- [[Collective_Table_of_Formulas|Back to Collective Table]]5 KB (687 words) - 20:01, 4 March 2015
- [[ECE301|Back to ECE301]]1 KB (142 words) - 08:44, 7 January 2019
- keywords: partial fraction, how to. =A guide to Partial Fraction Expansion=4 KB (602 words) - 12:49, 3 March 2015
- ...=\sum_{n=0}^{\infty}x[n]e^{-j{\omega}n}</math>, where <math>\omega=\lim_{N\to\infty}\frac{{2\pi}k}{N}</math> ...asier to calculate the geometric series by substitution of variable from s to z. Also properties of power series with differential equation is useful.3 KB (456 words) - 12:44, 30 April 2015
- [[Z_transform_ECE438F10|Back to z-transform tutorial]]1 KB (243 words) - 12:47, 30 April 2015
- [[Collective Table of Formulas|Back to Collective Table]]9 KB (1,101 words) - 13:28, 26 February 2015
- [[Collective Table of Formulas|Back to Collective Table]]7 KB (1,037 words) - 20:05, 4 March 2015
- [[Collective_Table_of_Formulas|Back to Collective Table of Formulas]]6 KB (908 words) - 16:40, 27 February 2015
- This page is about the courses and material related to the the undergraduate and graduate degrees in Electrical and Computer Engin3 KB (380 words) - 17:29, 9 January 2015
- This is a hub page to link other pages having to do with the energy of a continuous-time signal [[SignalMetricsFormula|Back to Signal Metric Definitions and Formulas]]1 KB (207 words) - 15:04, 25 February 2015
- This is a hub page to link other pages having to do with the power of a continuous-time signal <math>P_\infty = \lim_{T \to \infty} \frac{1}{2T} \int_{-T}^{T} \left | x (t) \right |^2 \, dt </math>1 KB (220 words) - 09:49, 21 April 2015
- [[Collective_Table_of_Formulas|Back to Collective Table of Formulas]]6 KB (926 words) - 17:06, 26 February 2015
- ...m your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too! :<span style="color:green">Instructor's comment: It is a bit confusing to use k as a complex variable. Usually, k represents an integer. -pm </span>2 KB (327 words) - 18:05, 3 March 2015