Search results for "Set" - Rhea

Create the page "Set" on this wiki! See also the search results found.

• Test
  From eq.(3.4), we can set the sufficient statistic <math>t\left(x \right)</math> and parameters <span
  17 KB (2,590 words) - 10:45, 22 January 2015
• Slecture differential geometry Boutin Black Wu curves in plane parameterization
  where I is some open interval of the real number set <math>\mathbb{R}</math>. This is called a `parametric representation' of th ...to parametrize a graph described by y = f(x) is to choose a parameter and set it equal to x, then express y in terms of that parameter. For example, the
  10 KB (1,752 words) - 17:02, 14 May 2015
• Z Transform table
  | <math> (i.e.,\ |a|R=\ the\ set\ of\ points\ {|a|z}\ for\ z\ in\ R)\ </math> | <math> R^{1/k}\ (i.e.,\ the\ set\ of\ points\ z^{1/k},\ </math>
  7 KB (1,018 words) - 08:55, 6 March 2015
• Probability practice problems list
  *Definition of a set **[[Practice_Question_definition _set_ECE302S13Boutin|Do these signals form a set?]]
  7 KB (960 words) - 18:17, 23 February 2015
• On Principal Component Analysis
  ...t Analysis is a process of extracting useful information from a noisy data set. Complex data sets may hid significant relationship between variables, and ...at a set frequency. We live in a three dimensional world, so we decide to set up three cameras in a rather random directions to collect the data on the m
  6 KB (1,043 words) - 12:45, 3 March 2015
• ECE PhD QE CNSIP 2001 Problem1
  Let <math class="inline">\left\{ t_{k}\right\}</math> be the set of Poisson points corresponding to a homogeneous Poisson process with param
  5 KB (780 words) - 01:25, 9 March 2015
• ECE PhD QE CNSIP 2003 Problem1
  This question is a set of short-answer questions (no proofs):
  5 KB (729 words) - 00:51, 10 March 2015
• ECE PhD QE CNSIP 2004 Problem1
  ...h> . The event space <math class="inline">\mathcal{F}</math> is the power set of <math class="inline">\mathcal{S}</math> , and the probability measure <m
  5 KB (735 words) - 01:17, 10 March 2015
• ECE PhD QE CNSIP Jan 2004 Problem1
  ...ex as a function of <math class="inline">q</math> (the probability that a set of twins are identical.)
  5 KB (748 words) - 01:01, 10 March 2015
• Origin of Laplace Transform
  ...ent of' 'the set of real numbers' 'for all' n 'which are elements of' 'the set of natural numbers'. ...implies that <math>ln(x)</math> must be <math>< 0</math>), we arbitrarily set <math>s = -ln(x)</math> or <math>-s = ln(x)</math>, which leaves us with:
  3 KB (512 words) - 15:14, 1 May 2016
• Accelerometer
  ...utilized the property that ''arctan(-x)'' = ''-arctan(x)''. Explicitly, I set a 'negative flag' if the ''arctan'' to be calculated had a negative argumen ...utput at a macro scale (ie not by counting assembly instruction cycles), I set the conditionals in the code such that the longest logical processing path
  8 KB (1,176 words) - 15:15, 1 May 2016
• Mutually Inductive Circuits
  ...the 4 signs of the set of voltage equations, as well rule that bounds the set of possible sign configurations.
  3 KB (474 words) - 15:17, 1 May 2016
• Markov chain green26
  % set params
  2 KB (289 words) - 15:14, 1 May 2016
• Basis Explanations S13
  ...ydrogen and Carbon, it is redundant and needs to be removed. A sign that a set of vectors is a basis is that any vector you add to it from vector space V ...o generate every color and don't have any redundant colors among their own set, then they serve as a basis for all colors.
  14 KB (2,247 words) - 13:09, 3 March 2015
• Vector Derivatives Cylindrical Coordinates
  ...tes. Since <math>\phi</math> was allowed to be any scalar function, we can set <math>\phi = \theta</math> to obtain
  19 KB (3,027 words) - 12:01, 24 February 2015
• Jacobian
  ...late, then, that the transformation from one set of coordinates to another set is merely ...ansformation T, T is the Transformation from C1 to C2 and C2 is the second set of coordinates.
  18 KB (2,894 words) - 12:17, 3 March 2015
• From Bayes Theorem to Pattern Recognition via Bayes Rule
  ...> <br /> where, <math>n</math> is the number of events (cardinality of the set <math>\{A_{i}\}</math>) in the sample space and, <math>i = 1, 2, ..., n</ma
  14 KB (2,241 words) - 10:42, 22 January 2015
• Upper Bounds for Bayes Error
  ...e global maximum. So we take the derivative w.r.t. <math>\beta</math>, and set it equal to zero to find the maximum.
  13 KB (2,062 words) - 10:45, 22 January 2015
• Bayes Rule for 1-dimensional and N-dimensional feature spaces
  ...near separation, which is a hyperplane. The hyperplane can be defined by a set of points which are equidistant to <math>\mu_1</math> and <math>\mu_2</math
  19 KB (3,255 words) - 10:47, 22 January 2015
• PCA
  ...orthonormal transformations to convert the observed correlated data into a set of linearly uncorrelated data, which are the so-called principle components &nbsp; &nbsp; In this section, I will just use PCA on a simple data set to help you gain some intuition of PCA, the question of "why does it work"
  22 KB (3,459 words) - 10:40, 22 January 2015
• ECE662 Whitening and Coloring Transforms S14 MH
  ...atrix '''Σ'''. This is either known or it can be estimated from your data set. We assume that '''Σ''' is positive definite. We also assume wlog that ''' Then, '''Y''' is a set of <math>n</math> data points drawn from an uncorrelated bivariate Gaussian
  17 KB (2,603 words) - 10:38, 22 January 2015
• Mle tutorial
  ...="texhtml">θ</span>&nbsp;is a fixed, unknown constant<br>belonging to the set&nbsp;<math>\Theta \subset \mathbb{R}^{n}</math>. business of making predictions based on a set of solid assumptions, then we would be
  25 KB (4,187 words) - 10:49, 22 January 2015
• Introduction to local density estimation methods
  ...hich means that the density function is estimated locally based on a small set of neighboring samples. Because of this locality, local (nonparametric) den
  15 KB (2,345 words) - 10:52, 22 January 2015
• Bayes rule in practice
  ...nbsp; Let D = {x₁,x₂,...,x_N}&nbsp;to be a set of iid samples from the Gaussian distribution with μ and Σ unknown.&nbsp;
  7 KB (1,177 words) - 10:47, 22 January 2015
• Bayes Parameter Estimation
  ...ndom variable X and the parameter θ can be vector-valued. Now we obtain a set of independent observations or samples S = {x₁,x₂,... ...he distribution p(θ ). Then the probability density function of X given a set of observations S can be estimated by<br>
  15 KB (2,273 words) - 10:51, 22 January 2015
• Discussion about Discriminant Functions for the Multivariate Normal Density
  ...f the most useful method to represent pattern classifiers is in terms of a set of '''''discriminant functions ''''' <math>g_i(\mathbf{x}), i=1,2,...,c</ma
  14 KB (2,287 words) - 10:46, 22 January 2015
• Estimation Using Nearest Neighbor
  ...the infinity. We set <math>P = \lim_{n \to \infty}P_n(e)</math>. Then, we set infinite sample conditional average probability of error as <math>P(e|x)</m ...in previous section can be utilized to get the upper error bound. First we set
  14 KB (2,313 words) - 10:55, 22 January 2015
• 662slecture tang
  ...nbsp;&nbsp; &nbsp; We divide the sample data into training set and testing set. Training data is used to estimate the model parameters, and testing data i Given a data set
  9 KB (1,382 words) - 10:47, 22 January 2015
• Bayersian Parameter Estimation: Gaussian Case
  Now, assume that a set of <math>N</math> independent samples were obtained from a certain class <m ...math>\theta</math> both the information in priori and the information from set <math>\mathcal{D}</math> of n samples <math>x_1, x_2, ... , x_n</math> need
  10 KB (1,625 words) - 10:51, 22 January 2015
• Parzen Window Density Estimation
  ...e of discriminant functions as a means of classifying data. That is, for a set of classes <math> \omega_c </math>, we choose to classify a sample <math>\v
  16 KB (2,703 words) - 10:54, 22 January 2015
• Least Squares Support Vector Machine and its Applications in Solving Linear Regression Problems
  ...lambda \textbf{c}</math> also separates the data. One solution might be to set <math>|\textbf{c}|=1</math>. Another solution is to introduce a bias denote ...Other than the parameters in the optimization problem, the SVM has another set of parameters called hyperparameters, including the soft margin constant, <
  14 KB (2,241 words) - 10:56, 22 January 2015
• ECE662 roc
  ...' = 3. Column 4 - 7 gives the records counts with the threshold value''t'' set to the probability of current record. Accordingly, TPR and FPR can be compu
  11 KB (1,823 words) - 10:48, 22 January 2015
• Parzen Windows
  Given a set of training data in a region <math>\Re^n</math>, and a point <math>x_0</mat
  12 KB (2,086 words) - 10:54, 22 January 2015
• CBR logistic regression
  ...iven as <math>(x_i,y_i)</math> where i is the index number of the training set, and <math>x_i</math> is hair length in inches and <math>y_i=1</math> indic If we set the above equation to zero, there is no close form solution, so we are goin
  9 KB (1,540 words) - 10:56, 22 January 2015
• Generation of N-dimensional normally distributed random numbers from two categories with different priors
  # Prior selection : How to set priors?
  18 KB (2,852 words) - 10:40, 22 January 2015
• Maximum Likelihood Estimators and Examples
  Therefore, when both of the parameters are unknown for a set of Gaussian distributed random vector, the ML estimator of covariance matri
  19 KB (3,418 words) - 10:50, 22 January 2015
• Knearestneighbors
  ...ith corresponding labels <math> y_{1}, y_{2}, ..., y_{N} </math> from some set of <math> C </math> classes <math> w_1,w_2,...w_C</math>. Together these are often called the training set, because they are used to "train" the classifier.
  9 KB (1,604 words) - 10:54, 22 January 2015
• Slecture from KNN to nearest neighbor
  The KNN method begins with a set of labeled training data (points) in the feature space. Note that it is ess <br> Number of total points in the training set: <span class="texhtml">''N''</span> <br>
  6 KB (1,013 words) - 10:55, 22 January 2015
• MLEforGMM
  ...um value of likelihood, which means is the most likely to observe the data set samples.<br> &nbsp; Suppose we have a set of n independent and identically destributed observation samples. Then dens
  13 KB (1,966 words) - 10:50, 22 January 2015
• ECE662Selecture zhenpengMLE
  =<math>\Sigma^{-1}\sum\limits_{j=1}^{N}(x_j-\mu)</math> set to be 0 \end{bmatrix}</math> set to be 0
  11 KB (2,046 words) - 10:51, 22 January 2015
• JMSLinearClassifierSlecture
  = Set up and Tricks = There are a number of tricks that are used in the set up for LDA. The first and most important is the concatenation trick. This t
  10 KB (1,666 words) - 10:56, 22 January 2015
• SlectureDavidRunyanCS662Spring14
  ...l wish to discover some form of underlying structure in an unlabelled data set. Such a task falls under the category of unsupervised learning. ...points in multidimensional space. For example, consider the following data set:
  8 KB (1,350 words) - 10:57, 22 January 2015
• Taylor maclaurin series
  ...series which may or may not converge. The domain for this function is the set of all ''x'''s for which the series converges.
  9 KB (1,632 words) - 18:19, 27 February 2015
• Discrete-time Fourier transform Xian Zhang ECE438 slecture
  The discrete-time Fourier transform (DTFT) of a discrete set of real or complex numbers x[n] with n=all integers, is a Fourier series, w
  3 KB (515 words) - 20:02, 16 March 2015
• Ftrepcomb mattmiller
  The result of this function is a set of time-shifted impulses whose amplitudes match those of the input signal x
  4 KB (734 words) - 18:56, 16 March 2015
• Discrete-time Fourier transform Slecture by Fabian Faes
  ...above equation we can see that if we were to have <math>{\omega}</math> be set to <math>{\omega}_{o}</math> we get
  5 KB (862 words) - 20:02, 16 March 2015
• Nyquist Michael Hayashi ECE438 slecture
  Using the Nyquist condition to set the sampling period <math>T</math>:<br><math>\frac{1}{T} > 2f_M \ or \ T <
  10 KB (1,650 words) - 19:04, 16 March 2015
• Slecture Topic 7 Ryan
  ...ed signal. Essentially, the comb is grabbing points on the graph x(t) at a set interval, T. <math>
  2 KB (335 words) - 09:57, 14 March 2015
• ECE438HonorsContractFST
  ...a specific <math>\theta</math>. Repeating over many <math>\theta</math>, a set of data like that shown in Figure 2 will be obtained. All the data will be
  8 KB (1,252 words) - 19:26, 9 February 2015
• ECE PhD QE CNSIP 2001 Problem1.4
  Let <math class="inline">\left\{ t_{k}\right\}</math> be the set of Poisson points corresponding to a homogeneous Poisson process with param
  4 KB (700 words) - 17:48, 13 March 2015
• ECE PhD QE CNSIP 2003 Problem1.1
  This question is a set of short-answer questions (no proofs): 1. The set <math class="inline">\left\{ \mathbf{X}\leq x\right\}</math> is an event
  2 KB (287 words) - 00:52, 10 March 2015
• ECE PhD QE CNSIP Jan 2004 Problem1.2
  ...ex as a function of <math class="inline">q</math> (the probability that a set of twins are identical.)
  1 KB (187 words) - 01:03, 10 March 2015
• ECE PhD QE CNSIP 2004 Problem1.1
  ...h> . The event space <math class="inline">\mathcal{F}</math> is the power set of <math class="inline">\mathcal{S}</math> , and the probability measure <m
  4 KB (698 words) - 01:35, 10 March 2015
• 2015 Summer Cryptography Paar Introduction to Cryptography Kathryn Marsh and Divya Agarwal
  An '''equivalence class''' is the set of numbers that are all equivalent under modulo operation. In the above exa ...es for the modulus 4. This means we are living in a universe which is this set {0,1,2,3}.
  6 KB (886 words) - 05:16, 24 June 2015
• 2015 Summer Cryptography Paar Introduction to Galois Fields for AES Katie Marsh
  Finite Field/Galois Field: a finite set together with operations + and * with the following properties: 1. The set forms an additive group with neutral element 0
  6 KB (1,012 words) - 11:15, 29 June 2015
• 2015 Fall MA 375 Walther
  ...he question does not say what set the equation is under. I assume that the set is under all natural numbers greater than or equal to 1 since excluding the
  7 KB (1,244 words) - 09:36, 18 December 2015
• Auto tune project ECE438F15
  ...is to create a set of target notes in order of their occurrence. How this set is formatted is based on the windowing size and tempo. These concepts will ...s for a 1 second long note, ten of that note are needed in the target note set. These windows are examined to determine the energy of the window, the numb
  9 KB (1,777 words) - 23:23, 21 November 2015
• FFT- BFSK case study ECE438F15
  T_sampling = 0.001; % set according to parameters in modulation scheme
  4 KB (546 words) - 19:34, 29 November 2015
• 2015 Fall ECE 438 Boutin A visual explanation of aliasing and repetition with the DTFT Erik Swan
  ...signal, we would get impulses at -1Hz and 1Hz. There is no other possible set of frequencies that can produce the above signal. If asked to draw a function to fit the discrete set of points, most people will draw the 1Hz cosine above. This is not incorrec
  12 KB (2,004 words) - 20:37, 2 December 2015
• Application of FFT - How to build an equalizer
  a = 0.3; % set the attenuation factor D = delay*fs; % set the delay time in s
  2 KB (362 words) - 22:18, 29 November 2015
• Adding sound effects to your music
  a = 0.3; % set the attenuation factor D = delay*fs; % set the delay time in s
  3 KB (405 words) - 23:49, 29 November 2015
• ECE PhD QE CNSIP 2015 Problem1.2
  We know that <math>Z(t)</math> can only take on the values 0 and 1, so we set out to find the probability that <math>Z(t)</math> = 0; if we subtract this
  6 KB (973 words) - 00:57, 1 February 2016
• Walther MA279 Spring2016 topic5
  ...ot form a circle and also with the minimize cost to join the selected edge set. (A Tree is a connected graph with no cycle) ...to our selected edge set we consider if it will cause a circle of the edge set.
  10 KB (1,524 words) - 23:36, 24 April 2016
• Walther MA279 Spring2016 topic1
  ...he solved this problem by his theorem, which is also in his paper, "For a set of added edges it is necessary and sufficient to be an optimal solution for
  9 KB (1,403 words) - 20:45, 24 April 2016
• Walther MA279 Spring2016 topic4
  A social network is a social structure that made up of a set of nodes (individuals or organizations) connected by edges (relationships). A graph is a set of nodes and a set of links.<br />
  14 KB (2,465 words) - 20:07, 24 April 2016
• Walther MA279 Spring2016 topic10
  Lastly, we cannot have a set of precedence relations that form a cycle. In other words, we cannot have ( •''Project''-A set of tasks to be completed
  7 KB (1,196 words) - 21:33, 24 April 2016
• Walther MA279 Spring2016 topic2
  A set of these particles is known as the ''swarm'' and they will all exist inside Set the position as a random point inside the search space
  14 KB (2,177 words) - 11:28, 24 April 2016
• ECE PhD QE CE 2015 Problem1.4
  ...t until all vertices have been visited). If we are able to find a spanning set of the graph without using one environmentally impactful edge, we are done. ...e of its vertices is in the current tree and add it back into the modified set; if the graph is now spanned, we are done. If the graph is still not spanne
  5 KB (975 words) - 22:15, 7 March 2016
• Bayes error MATLAB code joe
  % This code tests BayesErrorMonteCarlo.m using a data set with known
  3 KB (392 words) - 18:50, 11 February 2016
• Walther MA279 Spring2016 topic8
  * ''Arc-set'': A list of all the arcs in a digraph. ...one point and a loss counts as no points. This is achieved by sorting the set of outdegrees in nondecreasing order.
  6 KB (1,066 words) - 13:06, 24 April 2016
• ECE-QE CE1-2015
  ...where to build streets connecting the houses. Modeling this as selecting a set of pairs of houses to connect so that all houses in the end have a connecte ...ing this network, given the costs <math>\alpha(\cdot,\cdot)</math> and the set <math>E</math> of environmentally sensitive pairs <math>(x,y)</math>. Sketc
  5 KB (766 words) - 22:18, 7 March 2016
• ECE PhD QE CE 2015 Problem1.3
  <math>\bullet</math> We set <math>d(A,A)</math> = 0 and all other distances <math>d(\cdot,\cdot)</math> <math>\bullet</math> Following edges from <math>A</math>, we set <math>d(A,B)=1,\, d(A,C)=0</math>, and <math>d(A,D)=2</math>.
  2 KB (375 words) - 22:29, 7 March 2016
• Walther MA279 Spring2016 topic11
  ...ons on the availability of resources form what is known as a '''constraint set'''. ...> be the number of shipments from district ''i'' to landfill ''j''. We can set up the minimization like so:
  15 KB (2,613 words) - 22:35, 24 April 2016
• Walther MA279 Spring2016 topic6
  ...ing at NP-complete problems. The NP-complete set of problems comprise of a set of problems, to each of which any other NP-problem can both be reduced to b Next, we look at NP-hard problems. These problems comprise at set of problems that are at the minimum as difficult to solve as NP problems. H
  11 KB (2,028 words) - 20:48, 24 April 2016
• Walther MA279 Spring2016 topic9
  ...set of vertices (or "dots") in the graph and <math>\ E_{G} </math> is the set of edges (or "lines") for the graph.
  13 KB (2,051 words) - 22:06, 24 April 2016
• Walther MA279 Spring2016 topic7
  ...istance value so the first node is set to zero and all the other nodes are set to infinity. Starting at the initial node we consider all if its unvisited ...ted (or add it to the visited list) and remove it from the unvisited list. Set the unvisited node marked with the smallest tentative distance as the next
  14 KB (2,351 words) - 23:21, 24 April 2016
• Introduction of Optical Character Recognition (ORC)
  ...igure out what they are. By comparing the unknown data with the whole data set of the known data, we would predict the unknown data is the same as certain ...rs are machine printed or similar to that. It is because the training data set contains only a particular letter style. So maybe some machine printed test
  8 KB (1,405 words) - 22:56, 27 November 2016
• HW9ECE438F16sln
  *Set <math>x[n]=\delta[n]</math> to get the unit impulse response h[n] of the sy *Set <math>x[n]=\delta[n]</math> to get the unit impulse response h[n] of the sy
  9 KB (1,559 words) - 14:33, 24 November 2016
• Creating Blur Detection
  ...ssian filtering is used to counter this effect. The image is taken in as a set of discrete pixels. Normally, blurring can be achieved on a normal image by
  2 KB (258 words) - 04:20, 28 November 2016
• ECE-QE-CE-4-2015
  :As threads are out-of-sync, the working set for the cache increases. This can be addressed potentially with a shared (b ...k of lock step. Solution #2's approach aims to solve the increased working set for the caches. Solution #2's use of a victim buffer is a little unclear, h
  20 KB (3,337 words) - 15:32, 25 April 2017
• An Implementation of Sobel Edge Detection
  ...image were scanning from left to write, we can see that if the filter was set at (2,2) in the image above, it would have a value of 400 and therefore wou
  7 KB (1,184 words) - 20:31, 23 April 2017
• The Laurent Series in DSP
  ...sum allows a continuous function to be represented by a sum of a discrete set of values. The concepts of region of convergence and translating a discrete
  6 KB (931 words) - 23:40, 23 April 2017
• "Hello, World" Speech to Text
  ...t was hard, even as a native English speaker, to understand how the IPA is set up [3]. In essence, it was difficult to get through the literature and unde
  3 KB (576 words) - 23:56, 23 April 2017
• ECE-QE AC2-2015
  <math>\quad The \quad set\quad is\begin{Bmatrix} <math>\quad \therefore \quad The \quad set\quad is\begin{Bmatrix}
  6 KB (742 words) - 07:16, 17 May 2017
• ECE PhD QE CE 2013 Problem1.4
  ...such that each edge of the graph is incident to at least one vertex of the set. The problem of finding a minimum vertex cover is a classical optimization ...e in the set <math>s</math> may have multiple expertise. We will model the set of <math>t</math> applicants as <math>V</math> vertices, and each specialti
  6 KB (995 words) - 16:05, 23 August 2017
• Use Matlab as Your Photoshop!
  ...hile taking advantage of a very powerful engine with a superior supporting set of libraries (called Toolboxes). Think of Matlab as giving you the ability
  5 KB (799 words) - 20:12, 9 December 2017
• Introduction to Differential Equations
  ...e discussing them within real numbers. When a set of numbers match another set of numbers by a particular definition, a function forms. Therefore, if we a
  6 KB (1,070 words) - 23:06, 21 November 2017
• Basic Methods to Solve 1st-Order ODEs
  ...exact" in science is defined as "using accurate measurements and following set rules". Here is another intuitive explanation from the perspective of langu Set <math>\frac{∂F}{∂x}=f=xy</math>, then do the integration <math>F=\int x
  10 KB (1,764 words) - 14:31, 17 November 2017
• Limits Approaching Infinity Intuitively
  To set the record straight before we begin, infinity does not work like any other
  7 KB (1,344 words) - 01:36, 1 November 2017
• Limits Approaching Infinity Conceptually
  To set the record straight before we begin, infinity does not work like any other
  15 KB (2,678 words) - 04:42, 14 February 2020
• Non-Linear Systems of ODEs
  ...em, an equilibrium point is going to be a solution of a pair of constants. Set all of the differential terms equal to <math>0</math> to find the equilibri In the example in 6.0, we set <math>\frac{dx}{dt}=\frac{dy}{dt}=0</math>, hence <math>x(1-2x-3y)=2y(3-x-2
  10 KB (1,613 words) - 23:16, 21 November 2017
• Advanced Methods to Solve 2nd-Order ODEs
  '''Solution:''' Set the particular solution <math>y_p = u_1 (2t+1) + u_2 e^{2t} </math>, Set '''<math>\frac{du_1}{dt} (2t+1) + \frac{du_2}{dt} e^{2t} = 0</math>''' to b
  7 KB (1,254 words) - 19:49, 22 November 2017
• Z-transform in linear feedback analysis of systems
  ...given a feedback system, the steps involved in determining the output are set up the transfer function, get it in the form of Y(Z) = H(Z)X(Z) and use the
  396 B (64 words) - 15:33, 3 December 2017
• Adobe Photoshop
  ...hile taking advantage of a very powerful engine with a superior supporting set of libraries (called Toolboxes). Think of Matlab as giving you the ability
  5 KB (799 words) - 00:59, 4 December 2017
• Digital filter using the clustering method
  %set 10 as treshold %set 10 as treshold
  4 KB (462 words) - 16:35, 10 December 2017
• ECE PhD QE ES1 2007
  Question Set 1: Energy Conversion and Reference Frame Theory
  1 KB (182 words) - 13:47, 16 January 2018
• ECE PhD QE ES1 2008
  Question Set 1: Energy Conversion and Reference Frame Theory
  1 KB (159 words) - 00:52, 11 January 2018
• ECE PhD QE ES1 2009
  Question Set 1: Energy Conversion and Reference Frame Theory
  1 KB (172 words) - 18:21, 16 January 2018
• ECE PhD QE PE1 2010
  Question Set 1: Energy Conversion and Reference Frame Theory
  1 KB (166 words) - 16:00, 19 January 2018
• ECE PhD QE PE1 2010 Problem3 11
  ...state conditions. The only information affecting the three-phase, balanced set of circuit variables is the RMS value and initial phase angle. These are th
  9 KB (1,373 words) - 14:16, 19 February 2018
• ECE PhD QE PE1 2011
  Question Set 1: Energy Conversion and Reference Frame Theory
  1 KB (152 words) - 14:54, 26 January 2018
• ECE PhD QE PE1 2012
  Question Set 1: Energy Conversion and Reference Frame Theory
  1 KB (230 words) - 13:06, 29 January 2018
• ECE PhD QE PE1 2013
  Question Set 1: Energy Conversion and Reference Frame Theory
  1 KB (153 words) - 19:26, 12 February 2018
• ECE PhD QE PE1 2013 Problem3 8
  ...state conditions. The only information affecting the three-phase, balanced set of circuit variables is the RMS value and initial phase angle. Since the QD
  4 KB (667 words) - 14:50, 19 February 2018
• ECE PhD QE PE1 2014
  Question Set 1: Energy Conversion and Reference Frame Theory
  1 KB (221 words) - 14:43, 20 February 2018
• ECE PhD QE PE1 2015
  Question Set 1: Energy Conversion and Reference Frame Theory
  3 KB (573 words) - 14:56, 20 February 2018
• ECE PhD QE PE1 2016
  Question Set 1: Energy Conversion and Reference Frame Theory
  4 KB (699 words) - 17:36, 20 February 2018
• ECE PhD QE PE1 2017
  Question Set 1: Energy Conversion and Reference Frame Theory
  2 KB (328 words) - 17:45, 20 February 2018
• Approximating Periodic Signals with Finite Fourier Series
  For example, we set s(t) to be square wave with A = 3V, T0 = 0.5*10^-6s
  1 KB (226 words) - 16:42, 21 April 2018
• ECE PhD QE PE1 2014 Problem2a
  A ''symmetric'' 3-phase machine has a set of winding functions that may be expressed in the following continuous form
  2 KB (283 words) - 18:13, 4 August 2018
• FourierSeriesConvergenceBonusProject
  ...gence geometrically with discrete parametric equations. Users can select a set of two signals, (x(t), y(t)), which are steadily reconstructed using more a .... If desired, the user may select an image to "trace" in a parametric data set, or simply construct one on white space.<br />
  2 KB (403 words) - 23:36, 11 November 2018
• Walther MA279 Fall2018 topic7
  ...constructs. Two famous examples of these are the Mandelbrot and the Cantor set, which are both briefly explored below: The Mandelbrot Set is the set of all complex numbers c such that the recursively defined sequence S<sub>c
  15 KB (2,450 words) - 00:15, 3 December 2018
• Page 3
  ...umber of times the interest is compounded. To make analysis simpler, we'll set <math> P = r = 1 </math> and <math> t = n </math>.
  4 KB (623 words) - 00:54, 3 December 2018
• Logistic Models
  ...). Thus it weakens the density-dependence for low values of N. And when we set θ<1, the density dependence is strengthened for low values of N, leading t
  10 KB (1,532 words) - 22:51, 2 December 2018
• Failure of the models
  ...assumed an upper asymptote (carrying capacity) of 197.27 million which is set by Pearl and Read (1920)
  3 KB (484 words) - 22:51, 2 December 2018
• Golden Ratio: Calculation
  We set the ratio equal to a certain quantity given by r.
  1 KB (199 words) - 17:47, 2 December 2018
• Page 6
  ...he distribution, however, occurs at <math>np</math>, and the overall range set by <math>n</math> will affect how centralized the distribution is, with sma
  7 KB (1,183 words) - 00:53, 3 December 2018
• Matlab program to play Star Spangled Banner
  Below is the MATLAB sound() function set up so that it plays the notes in order for the Star Spangled Banner. <br />
  3 KB (603 words) - 00:55, 3 December 2018
• MA279Fall2018topic12 Debate
  ...ne representative. Note that Congress would constitutionally be allowed to set the size of the house to this number. However, with states having their pre
  5 KB (726 words) - 23:07, 2 December 2018
• Page 9
  Consider the set <math>\{1,2,3\}</math>. It has six different permutations: <math>\{1,2,3\}, ...n</math>, read "n subfactorial", indicates the number of derangements of a set with <math>n</math> elements.
  6 KB (996 words) - 00:53, 3 December 2018
• MA279Fall2018topic12 District
  ...namely Wesberry v. Sanders (1964) [64]. Secondly, while that case did not set forth a test for this principle, Karcher v. Daggett (1983) [83] ruled that
  3 KB (410 words) - 00:11, 3 December 2018
• QE2007 AC-1 ECE382
  We set <math> z_{c} = -4 </math>, Find <math> p_{c} </math> <br/>
  7 KB (1,007 words) - 00:58, 24 February 2019
• SH QE2017 AC-1 ECE382
  set <math>2-2K = 0 \Rightarrow K =1</math>, so system stable at <math>0<K<1</ma
  3 KB (474 words) - 00:16, 2 August 2019
• Applications of Convolution: Simple Image Blurring
  ...n. Therefore, by convolving a pixel with the pixels surrounding it, we can set every pixel equal to a "smooth mix" of pixel information surrounding it. The box blur is a simple blur in which every pixel is set equal to the average of all the pixels surrounding it. It can be expressed
  7 KB (1,006 words) - 22:10, 22 December 2019
• Ece438f19mvermabonus
  An edge can be defined as a set of contiguous pixel positions where an abrupt change of intensity (gray or ...w after applying a threshold, the values larger than the threshold will be set to 255, and values smaller than the threshold to zero. If thresholds are no
  4 KB (624 words) - 09:11, 6 December 2019
• Walther MA271 Fall2020 topic20
  ...tional to the amount of that frequency in the function. For example, if we set f = 3, the output value will be quite high because g literally has a freque
  12 KB (2,051 words) - 14:20, 5 December 2020
• Walther MA271 Fall2020 topic12
  ...nonzero). An additional point Ό at infinity is included in the curve. The set of points on an elliptical curve combined with a group operation (to be exp Group laws, or group operations, combine two elements from a set to make a third element that satisfies the four group axioms. These axioms
  13 KB (2,172 words) - 17:46, 30 May 2021
• Walther MA271 Fall2020 topic22
  ...the set of legs of the bug closer to the origin would look larger than the set of legs closer to the edge of the disc. As the outside viewer the bug will
  14 KB (2,241 words) - 18:03, 5 December 2020
• Walther MA271 Fall2020 topic24
  ...ing where any two numbers that are part of the set R, are also part of the set I when added together (a,b ∈ I, a+b ∈ I) and when a number from ring I ...nd left ideal. In this definition, R is a set that is right-handed, L is a set that is left-handed, and s is a subset of L and R.
  16 KB (2,725 words) - 00:24, 7 December 2020
• Walther MA271 Fall2020 topic14: What is Feynman's Technique
  Since the function works for any number "a", we can choose the variable to be set as 0, giving us <math>\int_{0}^{\infty}(e^{-x^2}) dx = e^{-\frac{a^2}{4}}*C .../math> is the Gaussian integral, which gives us our last equation which we set equal to our original F(a):
  4 KB (640 words) - 20:41, 30 November 2020
• MA271Fall2020Walther Topic27 Introduction
  ...s. Finally, in 1971, Raphael Robinson used the same technique to achieve a set of just six aperiodic tiles (pictured below). [[File:Robinson aperiodic set.png|250px]] <br>
  3 KB (504 words) - 23:16, 6 December 2020
• Walther MA271 Fall2020 topic29
  ...to set the particle's position (i.e. a probability of 1) we would need to set its momentum to <math> \infty </math>, a mathematical impossibility. Thus,
  11 KB (1,781 words) - 20:34, 6 December 2020
• Walther MA271 Fall2020 topic19
  ...the function. At those poles, the function is considered singular. An open set is an interval on a real line exclusive of its endpoints. They can also be To set this up, imagine two concentric circles on the complex plane, with one bein
  8 KB (1,390 words) - 16:12, 6 December 2020
• Walther MA271 Fall2020 topic14: Worked Solution 1
  Since the function works for any number "a", we can choose the variable to be set as 0, giving us <math>\int_{0}^{\infty}(e^{-x^2}) dx = e^{-\frac{a^2}{4}}*C .../math> is the Gaussian integral, which gives us our last equation which we set equal to our original F(a):
  3 KB (578 words) - 01:34, 2 December 2020
• Walther MA271 Fall2020 topic14: Uses of Feynman's Technique
  ...al in the problem and differentiating it to get an easier integral, we can set F(a) equal to an easier integral and differentiate it to get the integral i ...id above, rather than defining our given integral as a function, we should set the function equal to another integral (one that is easier to integrate). I
  3 KB (574 words) - 22:24, 2 December 2020
• Walther MA271 Fall2020 topic23
  ...ine learning, it is essentially taking all of the different variables of a set of objects and reducing the noise to select one variable that can identify ...ue Decomposition from Stanford University. In the example, there is a data set of 7 people and 5 different movies that they watched. Each person rated eac
  12 KB (2,008 words) - 19:00, 6 December 2020
• Walther MA271 Fall2020 topic14: Applications to Physics
  ...on to integrate. With this equation above, there is a multitude of ways to set ''E'' equal to a function represented by the gradient multiplied with the i
  2 KB (388 words) - 18:22, 4 December 2020
• Walther MA271 Fall2020 topic14: Application of Leibniz's Rule in Electrostatics
  ...on to integrate. With this equation above, there is a multitude of ways to set ''E'' equal to a function. The first function that comes to mind is represe
  2 KB (403 words) - 18:01, 5 December 2020
• Walther MA271 Fall2020 topic17
  ...ics would be the [[Walther_MA271_Fall2020_topic17#Madelbrot Set|Mandelbrot set]]. ...eatedly applying the same rule, or definition. For example, the Mandelbrot set is defined is created by using the recursive definition, z_n+1 =
  24 KB (3,663 words) - 01:01, 7 December 2020
• MA271Fall2020Walther Topic27 First Penrose Tiling/Original Pentagonal Tiling (P1)
  For the first Penrose tiling, there are a total set of six prototiles, which are combinations of the different shapes that can
  2 KB (292 words) - 01:56, 6 December 2020
• Introduction and Historic Background
  ...situations. Last but not least, even if linguists are able to summarize a set of grammatical rules covering all the natural language phenomenona, it is d
  8 KB (1,251 words) - 00:22, 6 December 2020
• Walther MA271 Fall2020 topic7 MathematicalTopology
  ...t at which its neighborhood contains at least one point that is not in the set. Closed sets are bound by these limit points. ...topology must be a part of the topology. For example, if a Є X and X is a set, then a basic topology for this would be:
  4 KB (713 words) - 23:44, 5 December 2020
• Walther MA271 Fall2020 topic7 IntegrationDerivation
  ...r to how the parametric vector form for line integrals of vector fields is set up. This integral can be used to find the amount of space under the Rieman
  2 KB (400 words) - 00:02, 6 December 2020
• Walther MA271 Fall2020 topic1: Introduction
  Groups - A set of numbers that must fulfill four conditions for an operation Fields - A set of numbers that can experience the typical operations of addition, multipli
  3 KB (419 words) - 00:53, 7 December 2020
• WaltherMA271Fall2020: Introduction
  ...se. A sphere can easily be defined mathematically as the three dimensional set of points equidistant from a given center point. Because of this simplicity
  1 KB (183 words) - 23:51, 5 December 2020
• Walther MA271 Fall2020 topic3
  ...all set of objects that has operations applied to it to become a different set. ...all set of objects that has operations applied to it to become a different set. Another group is the trivial group which consists of one element, and the
  12 KB (1,977 words) - 11:28, 6 December 2020
• Walther MA271 Fall2020 topic1: A Note on Groups
  One may define a group as a set of numbers that fulfill four conditions for an operation *: ...* between any two numbers within the set must equal another member in the set ( a * b = c)
  3 KB (559 words) - 21:39, 6 December 2020
• Sphere Packing 1: Introduction
  ...se. A sphere can easily be defined mathematically as the three dimensional set of points equidistant from a given center point. Because of this simplicity
  1 KB (197 words) - 03:43, 6 December 2020
• Python Demonstration
  To verify that the program is accurate, we set the for loop to run only twice (as seen in line 13, where ''x'' now must be Here, we have set the for loop back to continue iteration as long as x is less than 30, and w
  4 KB (745 words) - 00:57, 6 December 2020
• Communication and Reducibility
  ...fter 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; therefore, we can say i
  2 KB (390 words) - 02:57, 6 December 2020
• Periodicity of Markov Chains
  ...us denote <math>d_{i}</math> as the greatest common divisor of the number set <math>{n:n\geq1, P_{ii}^{n}}</math> (<math>P_{ii}^{n}</math> means the prob
  1 KB (229 words) - 02:58, 6 December 2020
• Markov Chain Theorems
  Here, we set up the equation to fit our example. ...rmation for the value of q3 because everything is just zero. Therefore, we set q3 to be equal to variable s. The new q is shown above.
  3 KB (486 words) - 02:36, 6 December 2020
• Gödel’s First Theorem
  ...f a set of rules or axioms that define the system. The most commonly known set of axioms in mathematics are Peano Arithmetic. Peano Arithmetic refers to t ...rue because of these axioms. Mathematics as a field is defined by a larger set of axioms than simple Peano Arithmetic. However, it is important to realize
  10 KB (1,717 words) - 02:05, 6 December 2020
• Walther MA271 Fall2020 topic1: Fields
  A field can be described as a set of numbers that allow for the operations of addition, subtraction, multipli ...X/Q, or Q[√3]/Q. X is the new field that extends Q, while Q is a member set of the larger field of X.
  2 KB (345 words) - 14:26, 6 December 2020
• Introduction to Hidden Markov Chains
  #A set of Hidden States <math>S: {S_{1}, S_{2}, ... S_{n}}</math> #We only know an observation sequence ''O'' and the set of states in the hidden Markov chain; we want to learn the components ''A''
  3 KB (568 words) - 13:57, 6 December 2020
• Applications of Markov Chains
  ...now the observation sequence (existing music sheets in the world), and the set of states in the hidden Markov chain model (all the information about those
  2 KB (304 words) - 14:05, 6 December 2020
• Walther MA271 Fall2020 topic18 Groups
  A group in terms of math is a set of numbers along with a "binary operation" (in this case called a group ope
  889 B (150 words) - 01:03, 7 December 2020
• Fisher Information and Frequentist Statistics
  ...the correct conclusion can be formulated with a high probability among the set of repetitions.
  2 KB (321 words) - 22:24, 6 December 2020
• MA271Fall2020Walther Topic27 Rules for Generating Penrose Tilings
  The next set of shapes is the two rhombi. Recall that these are created from splitting t
  5 KB (864 words) - 21:35, 6 December 2020
• IntroductionMA271Sayers
  ...ed to generate F) '''[1]'''. The general idea here is that we start with a set of variables (the “initial seed”), then generate a directed tree which
  2 KB (301 words) - 21:00, 6 December 2020
• GroupsRingsAndFieldsMA271Sayers
  ...rings, we must first introduce the concept of groups. A group is simply a set of objects that obey the following properties: For example, the set of integers is a group because it is closed under addition, addition is ass
  3 KB (442 words) - 22:05, 6 December 2020
• ClusterAlgebraMutationsRevisitedMA271Sayers
  ...behind cluster algebra is recursively constructing a ring from an initial set of variables (the initial seed), it would be helpful to find some way of vi ...'', Q), consisting of an arbitrary quiver, Q, with vertices labeled by the set of variables '''u''' = {u₁, u₂, …, u_n}.
  2 KB (355 words) - 22:26, 6 December 2020
• FormationClusterAlgebraMA271Sayers
  ...case (the rational expressions that appear will be in terms of the initial set of variables in the initial seed used), and these expressions are referred ...that is a subset of the field of rational functions F of which the initial set (in this example, {x₁, x₂}) are members. The other cl
  2 KB (280 words) - 22:19, 6 December 2020
• Walther MA271 Fall2020 topic18 Topology
  ...B a superset. The empty set <math>{\displaystyle \emptyset}</math> is the set that contains no elements. ...nd is that of measure. A measure is a way to assign values to subsets of a set. The simplest way to understand this is size. This measure, called the Lebe
  4 KB (779 words) - 01:03, 7 December 2020
• Walther MA271 Fall2020 topic8
  ...umbers are 3 greater than the nearest multiple of 12. This works for any set of integers, as 9 and 17 are congruent in mod 4, or 6 and 83 are congruent ...that deal with modular arithmetic, modular forms must meet a very specific set of criteria. Modular forms only exist in what is called the upper half pla
  11 KB (1,765 words) - 00:19, 7 December 2020
• ApplicationsCBCP
  The Wiener Algebra is simply the set of all absolutely converging Fourier series. It also is a Banach Space.
  1 KB (172 words) - 00:06, 7 December 2020
• BanachSpacesCBCP
  ...tance function that defines the difference between two points in any given set. The associated metric to a norm is given as d(||.||)(x, y) = |y - x| where Let |N = all natural numbers and let |F = the field (the set of complex or real numbers).
  2 KB (259 words) - 00:08, 7 December 2020
• Walther MA271 Fall2020 topic18 Examples
  ...pological group <math>{\displaystyle (\mathbb {R} ,+)}</math> (meaning the set is all real numbers and the binary operation is addition), the Haar measure
  730 B (122 words) - 01:04, 7 December 2020
• Walther MA271 Fall2020 topic18 Haar Measure
  ...ains one more subset than the fewest number of possible subsets within the set X. 2. <math> μ(U) > 0 </math> for every nonempty open set U subset= G.
  1 KB (245 words) - 01:04, 7 December 2020
• Swanson MA279 Fall2022 topic4
  1) Sample space (S): Set of all possible outcomes of any random experiment. In Step 4 we are able to set both left sides equal to each other since they both have the same right han
  14 KB (2,441 words) - 16:10, 14 December 2022
• Swanson MA279 Fall2022 topic11
  ...ng ETH into 2 currencies - the "real" ETH, which would have the legitimate set of transactions and contain everyone (who got the memo to join) but the att
  24 KB (3,899 words) - 10:51, 1 December 2022
• Swanson MA279 Fall2022 topic1
  Fortunately, we can set aside questions about how to picture quantum states with our intuitions mol ...se that <math>\| z_1 \|^2+\| z_2 \|^2=1</math>. This is always possible to set up since we can divide the entries of a quantum state vector by its length
  31 KB (5,039 words) - 17:31, 6 December 2022
• Swanson MA279 Fall2022 topic2
  ...determine the prices that two competing duopolies in a local market should set in order to maximize each of their profits. ''Game'' - a set of strategies that actors/players can undertake whose combinations can lead
  26 KB (4,138 words) - 08:25, 6 December 2022
• Swanson MA279 Fall2022 topic9
  ...The two main components of a PRNG are an initial value or seed, and a pre-set algorithm. It follows the next several steps:
  14 KB (2,296 words) - 21:49, 5 December 2022
• Swanson MA279 Fall2022 topic8
  ...he meanings here, an iterative algorithm begins with a specified value (or set of specified values), calculates some value, then feeds that calculated val ...famous ways we use more digits of pi is to memorize them! Many people have set out to memorize as many of the digits of pi as they can either for fun, or
  18 KB (2,815 words) - 11:22, 8 December 2022
• Swanson MA279 Fall2022 topic6
  ...t is the case where a function maps a set m to a set n where the length of set n is less than m. The same applies for SHA-1, but also SHA-2 and all hashin ...remaining 48 are not set yet
  24 KB (3,746 words) - 15:31, 10 December 2022
• Swanson MA279 Fall2022 topic12
  ...hood of people clicking on it. These factors shape the way the internet is set up as most people want to optimize their page rank score. Some people abuse ...ept called “search engine optimization,” also known as SEO, which is a set of practices that allows companies and individuals to drive or improve thei
  21 KB (3,098 words) - 00:24, 1 December 2022