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• 21:21, 23 March 2024 Admin talk contribs created page Category:Programming Paradigm (Created blank page) Tag: Visual edit
• 21:20, 23 March 2024 Admin talk contribs created page Programming Paradigm (Created page with "<nowiki>*</nowiki>This page comes primarily from self-research A '''programming paradigm''' is a relatively-highly abstracted model to organize/structure the implementation of a computer program. At the most basic level of a computer program, we have simple instructions running. As a program get more complex, practices and abstractions such as functions or objects provide a way to organize a program such that it is easier to maintain and collaborate on. We group these...") Tag: Visual edit
• 20:48, 23 March 2024 Admin talk contribs created page Godot/Key Concepts (Created page with "Test") Tag: Visual edit
• 20:43, 23 March 2024 Admin talk contribs created page Godot (Created page with "'''Godot''' is a FOSS game engine. This is the main page; subpages will detail my notes.") Tag: Visual edit
• 17:24, 20 March 2024 Rice talk contribs created page BFS (Created page with "{{Infobox Algorithm|runtime=O(V+E)|class=Graph Algorithm}} '''Breadth-first search (BFS)''' is a graph traversal algorithm. = Approach = At the core of BFS is a ''priority queue'' of unvisited nodes''.'' # At the start, the source node has a distance of 0, whereas the rest has infinite distance. The source node is pushed into the queue. # The queue is popped as the first node in the queue is visited. # Upon visiting a node, if the node's distance is infinity (i.e....") Tag: Visual edit
• 05:19, 20 March 2024 Rice talk contribs created page Graph Algorithms (Created page with "A '''graph''' is a set of vertices and a set of edges connecting those vertices. Graph algorithms solve problems relating to graphs. Notable examples include traversal and shortest path.") Tag: Visual edit
• 06:30, 19 March 2024 Admin talk contribs created page Random Variable (Created page with "A '''random''' variable is a numerical variable whose outcome is the result of a random process (i.e. we don't know what will happen for certain). Notably, the numerical interpretation of the outcome of an experiment is a random variable. They come in two types, deserving their own pages. See = Statistics = Random variables has several statistics that we care about. See pages Continuous Random Variable and Discrete Random Var...") Tag: Visual edit
• 06:22, 19 March 2024 Admin talk contribs created page Discrete Random Variable (Created page with "Category:Statistics A random variable is '''discrete''' if the values it can take on within an interval is ''finite''. = PMF and CDF = The '''probability mass function (PMF)''' describes the probability distribution over a discrete random variable. <math>p(x) = P(X = x)</math> The '''cumulative distribution function (CDF)''' specifies the probability of an observation being equal to or less than a given value. <math>F(x) = P(X \leq x)</math> We usually have tabl...") Tag: Visual edit
• 06:04, 19 March 2024 Admin talk contribs created page Counting (Created page with "Category:Statistics '''Counting''' is the concepts relating to the total possible number (i.e. count) of ways to do something given a certain population. The common forms include combination and permutation. = The Fundamental Principle = The '''fundamental principle''' of counting states that given k operations are performed, if there are <math>n_i</math> ways to perform the i-th operation, then the ''total number of ways'' to perform the sequence of k operations is...") Tag: Visual edit
• 05:43, 19 March 2024 Admin talk contribs moved page Probability to Sample Statistics
• 05:43, 19 March 2024 Admin talk contribs deleted page Sample Statistics (content was: "A population has parameters that characterizes it: <math>\mu, \sigma, \rho, p</math>, distribution. These parameters are unmeasurable, since population is usually huge. The point of '''sample statistics''' is to estimate parameters with sample characteristics: <math>\bar{X}, \hat{\mu}, \hat{\sigma}, s, \hat{\rho}, r, \hat{p}</math>. We also want to know how well our estimation is. = Sampling distribution = Let there be <math>Y_1, Y_2, \ldots, Y_n </math>, where each <math>Y_i<...")
• 05:42, 19 March 2024 Rice talk contribs created page Probability (Created page with "Category:Sample Statistics A '''population parameter''' is the value of a statistic based on population data. This is almost always not measurable. A '''sample statistic''' is the value of a statistic based on sample data. We use sample statistics to estimate population parameters. = Experiment = An '''experiment''' is a process that results in a random outcome") Tag: Visual edit
• 00:33, 19 March 2024 Admin talk contribs moved page Two Numerical RVs to Bivariate
• 00:33, 19 March 2024 Admin talk contribs deleted page Bivariate (content was: "Category:Statistics", and the only contributor was "Admin" (talk))
• 00:28, 19 March 2024 Admin talk contribs created page Bivariate (Created page with "Category:Statistics") Tag: Visual edit: Switched
• 00:25, 19 March 2024 Admin talk contribs moved page Distribution (Statistics) to Category:Distribution (Statistics)
• 00:24, 19 March 2024 Rice talk contribs created page Distribution (Statistics) (Created page with "The Category:Statistics")
• 23:53, 18 March 2024 Rice talk contribs created page Summary Statistics (Created page with "When we investigate a variable in a dataset, two things are great at ''summarizing'' the dataset: the ''center'' and the ''spread''. = Measuring Center = There are two ways to measure center: the mean and the median. == Mean == The '''mean''' is the average/expected value of a variable. The sample mean is denoted as <math>\bar{X}</math>, whereas the population mean is denoted as <math>\mu_X</math>. <math> \bar{X} = \frac{1}{n} \sum x_i </ma...")
• 23:33, 18 March 2024 Rice talk contribs created page Variable (Statistics) (Created page with "In statistics, a '''variable''' is a characteristic of a subject that varies in a ''non-random'' way. = Overview and Related Definitions = At the top level of statistics, we investigate a '''population''': a set of units that we are interested in studying. Populations are almost always impossible to study due to their massive size and other constraints. Therefore, we take a '''sample''': a subset of the population. A '''subject''' is a unit that we study in a popula...")
• 18:28, 18 March 2024 Rice talk contribs created page File:Regression Effect Scatter Plot.png
• 18:28, 18 March 2024 Rice talk contribs uploaded File:Regression Effect Scatter Plot.png
• 17:49, 18 March 2024 Rice talk contribs created page File:Bivariate Normal Example Scatterplot.png
• 17:49, 18 March 2024 Rice talk contribs uploaded File:Bivariate Normal Example Scatterplot.png
• 17:43, 18 March 2024 Rice talk contribs created page Two Numerical RVs (Created page with "Consider two numerica random variables <math>X</math> and <math>Y</math>. We can measure their ''covariance''. <math>Cov(X, Y)</math> The '''correlation''' of two random variables measures the '''line dependent''' between <math>X</math> and <math>Y</math> <math> Cor(X, Y) = \rho = \frac{Cov(X,Y)}{sd(X) sd(Y)} </math>")
• 01:56, 16 March 2024 Rice talk contribs created page Proportion Estimation (Created blank page)
• 00:31, 13 March 2024 Rice talk contribs created page Complexity Theory (Created page with "There exists problems that cannot be solved fast. '''Complexity theory''' is the classification of problems into ''classes''. * P: Set of problems for which exists an algorithm that solves it in poly time O(n^k). * NP: Set of problems for which there exists an algorithm that verifies the solution in poly time = Independent Set Problem = Consider a graph G(V,E). Find the largest set of vertices such that they do not share edges. == Approach: Brute Force == For all po...")
• 01:37, 12 March 2024 Rice talk contribs created page Sampling Distribution (Created page with "= Sampling distribution = Let there be <math>Y_1, Y_2, \ldots, Y_n </math>, where each <math>Y_i</math> is a randomv variable from the population. Every Y have the same mean and distribution that we don't know. <math> E(Y_i) = \mu, Var(Y_i) = \sigma^2 </math> We then have the sample mean <math> \bar{Y} = \frac{1}{n} \sum_{i = 1}^n Y_i </math> The sample mean is expected to be <math>\mu</math> through a pretty easy direct proof The variance of the sample mean is <ma...")
• 01:36, 12 March 2024 Rice talk contribs created page Category:Sample Statistics (Created page with "A population has parameters that characterizes it: <math>\mu, \sigma, \rho, p</math>, distribution. These parameters are unmeasurable, since population is usually huge. The point of '''sample statistics''' is to estimate parameters with sample characteristics: <math>\bar{X}, \hat{\mu}, \hat{\sigma}, s, \hat{\rho}, r, \hat{p}</math>. We also want to know how well our estimation is. Category:Statistics")
• 01:35, 12 March 2024 Rice talk contribs created page Hypothesis Test (Created page with "= Comparing Means: Hypothesis Test = When comparing means, a technique called '''hypothesis test''' is used. This applies to other things, but in this context, we use two hypotheses. Hypothesis test is a technique where sample data is used to determine if the confidence interval supports a particular claim. Hypothesis tests quantify how likely our data is given a particular claim. == Procedure == First, we need two things: * The '''null hypothesis <math>H_0</math>''...")
• 20:36, 11 March 2024 Rice talk contribs created page First Order Circuit (Created page with "= RL Circuit = == Energy Conservation == As current increases, work done by the battery is not the same as the energy dissipated by the resistor. The remaining energy, <math> L/2 I^2 </math> is ''stored'' in the form of magnetic field inside the inductor. Substituting inductance and factoring out volume, we eventually get energy density <math> \frac{B^2}{2 \mu_0} </math>")
• 05:35, 9 March 2024 Rice talk contribs created page File:Z score table.png
• 05:35, 9 March 2024 Rice talk contribs uploaded File:Z score table.png
• 05:03, 9 March 2024 Rice talk contribs created page File:T distribution table.png
• 05:03, 9 March 2024 Rice talk contribs uploaded File:T distribution table.png
• 11:21, 8 March 2024 Rice talk contribs created page File:Equations for Analyzing the Step Response of Parallel RLC Circuits.png
• 11:21, 8 March 2024 Rice talk contribs uploaded File:Equations for Analyzing the Step Response of Parallel RLC Circuits.png
• 10:56, 8 March 2024 Rice talk contribs created page File:Equations for Analyzing the Step Response of Series RLC Circuits.png
• 10:56, 8 March 2024 Rice talk contribs uploaded File:Equations for Analyzing the Step Response of Series RLC Circuits.png
• 07:17, 8 March 2024 Rice talk contribs created page Circuit Element (Created page with "A circuit element is a basic unit that has certain rules governing the relationship of voltage across and current through that element beyond the simple conducting wire. There are five ideal basic circuit elements: * voltage source * current source * resistor * capacitor * inductor There will be no proofs for the equations here. That's a physics thing that probably deserve their own page. ==== Ideal ==== This page will focus on '''ideal''' circuit elements. The real...") Tag: Visual edit: Switched
• 06:52, 8 March 2024 Rice talk contribs created page File:Parallel Unforced RLC Circuit.png
• 06:52, 8 March 2024 Rice talk contribs uploaded File:Parallel Unforced RLC Circuit.png
• 02:14, 8 March 2024 Rice talk contribs created page Kruskal's Algorithm (Created page with "= Approach = Select edges in order of smallest to largest, using disjoint-sets to prevent cycles.")
• 01:28, 8 March 2024 Admin talk contribs deleted page Dijstra's Algorithm (content was: "= Implementation = <pre> Dijstra(G, w, source) { } </pre>", and the only contributor was "Rice" (talk))
• 01:08, 8 March 2024 Rice talk contribs created page Dijstra's Algorithm (Created page with "= Implementation = <pre> Dijstra(G, w, source) { } </pre>") Tag: Visual edit
• 23:43, 7 March 2024 Rice talk contribs created page Session Management (Created page with "Category:Cybersecurity")
• 23:38, 7 March 2024 Rice talk contribs created page JSON Web Token (Created page with "'''JSON Web Token''' (JWT) allows client to indicate its identity for further exchanges after authentication. * It is compact and self-contained * It can be signed with a secret (HMAC) or a public/private key pair (RSA) It looks something like this<pre> [Base64(HEADER)].[Base64(PAYLOAD)].[Base64(SIGNATURE)] </pre><pre> eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9. eyJzdWIiOiIxMjM0NTY3ODkwIiwibmFtZSI6IkpvaG4gRG9lIiwiYWRtaW4iOnRydWV9. TJVA95OrM7E2cBab30RMHrHDcEfxjoYZgeFONFh7HgQ...") Tag: Visual edit
• 02:00, 6 March 2024 Rice talk contribs created page Rice Wiki:About (Created page with "Hi.")
• 01:38, 6 March 2024 Rice talk contribs created page Prims Algorithm (Created page with " Category:Algorithms")
• 00:46, 6 March 2024 Rice talk contribs created page Minimum Spanning Tree (Created page with "Category:Algorithms")
• 00:12, 6 March 2024 Rice talk contribs created page Dijkstra's Algorithm (Created page with "Category:Algorithms Problem: Shortest Path Problem.") Tag: Visual edit: Switched