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Basic statistics in Data science The term “Data science” comes in 1996 which was included in the title of a statistical conference (International Federation of Classification Societies (IFCS). In early 1997, there was an even more radical view suggesting to rename statistics to Data Science. Recently, “Donoho” provide...
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calculating a function in matlab with very small values log1p(x)log(1+x)xRamashalanka 2012-04-04 01:42 NoName 2012-04-04 01:37 I had to try my LIMEST tool out on it. As with any adaptive tool, it can be fooled, but it is usually pretty good. fun = @(x) (exp(x) - 1)./x; As you can see, fun has problems at zero. fun(...
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None Let $G$ be a D22: Group such that (i) $p$ is a D571: Prime integer (ii) $$|G| = p$$ Let $g \in G$ be a non-identity element in $G$. Such an element exists because $|G| = p \geq 2$. Let $\langle g \rangle$ denote the D1301: Generated subgroup of $g$ within $G$. Now R468: Lagrange's theorem states $$|\langl...
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Boiler Tubes Thickness Pressure Equation and Calculator Related Resources: pressure-vessel Boiler Tubes Thickness Pressure Equation and Calculator ASME Pressure Vessel Design and Engineering ASME SECTION I – Boiler Tubes up to and includi...
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Parity-Check Code A linear orthogonal array OA(b, s,F[b], 1) and a linear [s, s−1, 2]-code over F[b] exists for arbitrarily large s. The Orthogonal Array (Line) The orthogonal array A can be identified with an arbitrary line in general position in F[b]^s. Thus the 1×s matrix (1,…, 1) is a possible generator mat...
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3 Easy Ways to Calculate Percentiles in SAS (Examples) SAS How To's 3 Easy Ways to Calculate Percentiles in SAS (Examples) Calculating percentiles (quartiles) is a common task when you analyze your data. However, how do you calculate percentiles in SAS? In this article, we discuss 3 methods to find them. The easiest...
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Metric tensor (general relativity) Jump to navigation Jump to search ${\displaystyle {\begin{pmatrix}g_{00}&g_{01}&g_{02}&g_{03}\\g_{10}&g_{11}&g_{12}&g_{13}\\g_{20}&g_{21}&g_{22}&g_{23}\\g_{30}&g_{31}&g_{32}&g_{33}\\\end{pmatrix}}}$ Metric tensor of spacetime in general relativity written as a matrix In general rel...
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Master’s dissertation: Adaptive Large-Scale Kernel Two-Sample Testing I recently finished working on my Master project here at UCL. It was supervised by Arthur Gretton and Massimiliano Pontil and was about kernel selection for a linear version of the Maximum Mean Discrepancy, a kernel based two-sample test. Download r...
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Python Programming – Bitwise Operators You can learn about Operators in Python Programs with Outputs helped you to understand the language better. Python Programming – Bitwise Operators A bit is the smallest possible unit of data storage, and it can have only one of the two values : 0 and 1. Bitwise operator works on...
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Helmholtz Equation on Disk with Square Hole This example shows how to solve a Helmholtz equation using the general PDEModel container and the solvepde function. For the electromagnetic workflow that uses ElectromagneticModel and familiar domain-specific language, see Scattering Problem. Solve a simple scattering prob...
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Introduction to quantum computing with Q# – Part 6, No-cloning theorem In the last part of this series we looked at the phenomenon of entanglement - one of the core concepts of quantum theory, which has been fundamentally important in the development of quantum information theory. We grappled with its deeply mysterious...
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PROBIT - Probit Transform Computes the Probit transformation and its inverse. Syntax PROBIT(X, Lo, Hi, Return) X is the real number for which we compute the transformation. X must be between zero and one (exclusive). Lo is the x-domain lower bound. If missing, Lo is assumed to be 0. Hi is the x-domain up...
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portfolio portalloc Optimal capital allocation to efficient frontier portfolios Description [RiskyRisk,RiskyReturn,RiskyWts,RiskyFraction,OverallRisk,OverallReturn] = portalloc(PortRisk,PortReturn,PortWts,RisklessRate) calculates the optimal risky portfolio and the optimal allocation of funds between that risky por...
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Resolutions · Singular.jl Functions for creating free resolutions of modules and ideals in Singular.jl return a special Singular object of type sresolution{T}. The support in Singular.jl for this type primarily exists to allow interaction with such resolutions. Free resolutions can have the property of being minimal, w...
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Modeling velocity distributions in small streams using different neuro-fuzzy and neural computing techniques Abstract Accurate estimation of velocity distribution in open channels or streams (especially in turbulent flow conditions) is very important and its measurement is very difficult because of spatio-temporal var...
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Linearized Equations of General Relativity and the Problem of Reduction to the Newton Theory Linearized Equations of General Relativity and the Problem of Reduction to the Newton Theory () 1. Introduction. General Relativity Equations The basic equation of general relativity which specifies the Einstein tensor has th...
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One-Dimensional Filling of a Porous Region FLAC3D Theory and Background • Fluid-Mechanical Interaction One-Dimensional Filling of a Porous Region Note To view this project in FLAC3D, use the menu command . The project’s main data files are shown at the end of this example. In this problem, flow is driven through an...
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Using loo-ic to justify a power prior a0 under a hierarchical normal model? Hi, I have searched the internet high and low for insight here and found examples. But my experience here is limited and I may be misinterpreting the examples I have found. I greatly value and respect the expertise present in this Forum. Any t...
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Stability Criteria of Solutions for Stochastic Set Differential Equations Stability Criteria of Solutions for Stochastic Set Differential Equations () 1. Introduction Recently, the field of stochastic differential equations (SDEs) has been studying in a very abstract method. Instead of considering the behaviours of o...
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None Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)1837110.22363/2312-9735-2018-26-2-176-182Research ArticleDevice for Periodic Modula...
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Elements of Geometry of the angle DAB. For the same reason the angle EDC is Book III. double of the angle DAC. Therefore the whole angle BDC is double of the whole angle BAC. Again, let D, the centre of the circle, be without the angle BAC, and join AD, and produce it to E. It may be demonstrat...
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Calculating gram per 100 mL solubility, given the K Calculating gram per 100 mL solubility, given the K[sp] Basically, this type of problem will (1) calculate the molar solubility from the K[sp]. Then, in an additional step, (2) calculate grams pe...
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Fence Work - Futility Closet Image: Wikimedia Commons In 1951, Arthur B. Brown of Queens College noted that the number 3 can be expressed as the sum of one or more positive integers in four ways (taking the order of terms into account): 3 1 + 2 2 + 1 1 + 1 + 1 As it turns out, any positive integer n can be so expre...
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n Online material Appendix A: Solution for the mass surface density profile Appendix A.1: Case n ≥ 1 In case n> 1 the integral can be expressed through the incomplete and complete beta function (A.1)with the condition a,b> 0 where the normalized incomplete beta function is given by (A.2)The beta function is equal to...
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Estimation of adjusted PIN model Source: R/model_adjpin.R adjpin.Rd Estimates the Adjusted Probability of Informed Trading (adjPIN) as well as the Probability of Symmetric Order-flow Shock (PSOS) from the AdjPIN model of Duarte and Young(2009). Usage adjpin(data, method = "ECM", initialsets = "GE", num_init = 2...
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Sample Problem In this page we will show you a sample problem that reflects the type of problems you will be asked to solve during a typical ITACPC round, and we will also present a possible solution implemented in Python, in Java and in C++. Remember that the tasks will always be presented in a random order (not in in...
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5.2 The Uniform Distribution Introduction Introduction The uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur. When working out problems that have a uniform distribution, be careful to note if the data are inclusive or exclusive of endpoints. E...
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Calculus of Variations/CHAPTER VIII - Wikibooks, open books for an open world CHAPTER VIII: THE SECOND VARIATION; ITS SIGN DETERMINED BY THAT OF THE FUNCTION ${\displaystyle F_{1}}$. Article 111. The substitution ${\displaystyle x+\epsilon \xi }$, ${\displaystyle y+\epsilon \eta }$ for ${\displaystyle x}$,${\displayst...
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An Improved Set-Membership Proportionate Adaptive Algorithm for a Block-Sparse System ^1 College of Information and Communications Engineering, Harbin Engineering University, Harbin 150001, China ^2 College of Communication and Electronic Engineering, Qiqihar University, Qiqihar 161006, China ^3 National Space Sc...
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How do you solve $12x + 3 = 6x + 3$? Hint: The above question is based on the concept of equations having variables on both the sides. The main approach towards solving the problem is to bring the variable on one side i.e., we must add or subtract from both sides one of the quantities that contains the variable. Compl...
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u Clinical trials (experimental designs in realistic-use settings) provide the highest level of evidence for the efficacy of interventions.^1 However, there is evidence from the published research that trial design, conduct, and analysis is suboptimal in swine trials.^2-4 Previous commentaries in this series have discu...
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A multiple-choice test consists of 20 items, each with four choices. A student is able to... A multiple-choice test consists of 20 items, each with four choices. A student is able to... A multiple-choice test consists of 20 items, each with four choices. A student is able to eliminate one of the choices on each questi...
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Tabu Search Algorithm To solve a combinatorial optimization problem formulated as a QUBO problem, call the solve function on the QUBO problem. The solve function internally uses the tabu search algorithm, as described in Palubeckis [1]. For background information on QUBO problems, see What Is a QUBO Problem? Change o...
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Transpose - properties and formulas - Transpose - properties and formulas - Definition A matrix in which the row and column elements of a matrix are exchanged is called the transposed matrix of that matrix. The transpose of a matrix $A$ is represented as $A^ {T}$. The $i$-th row, j-th column element of $A^T$ is th...
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149+ Solved Probability Questions and Answers With Explanation FACTS AND FORMULAE FOR PROBABILITY QUESTIONS 1. Experiment : An operation which can produce some well-defined outcomes is called an experiment. 2. Random Experiment :An experiment in which all possible outcomes are know and the exact output cannot be pred...
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dsp.MovingStandardDeviation Moving standard deviation Description The dsp.MovingStandardDeviation System object™ computes the moving standard deviation of the input signal along each channel, independently over time. The object uses either the sliding window method or the exponential weighting method to compute the ...
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Problem Given an integer array arr, return the length of the longest strictly increasing subsequence. A strictly increasing sequence is a sequence such that all elements of the sequence are sorted in increasing order. Note: In mathematics, a subsequence of a given sequence is a sequence that can be derived from the ...
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GARCHery | Python-bloggersGARCHery This article was first published on OSM , and kindly contributed to python-bloggers. (You can report issue about the content on this page here) Want to share your content on python-bloggers? click here. In our last post, we discussed using the historical average return as one method ...
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Class: Nematic Class: Nematic Liquid Crystal A nematic liquid crystal is a state of matter between a solid and a liquid. It is characterized by the orientation of the molecules, which is ordered, but not the position. The molecules are rod-like and the orientation is described by a unit vector, the nematic director. ...
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Online Curie Constant Calculator | Curie Constant Equation - physicscalc.com Curie Constant Calculator Calculate the Curie Constant value using the Curie Constant Calculator. Simply, enter the number of atoms, lattice constant and magnetic moment details in the respective input fields and click the calculate button to...
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Solution: The given inequality is 3x + 8 > 2 3x + 8 > 2 ⇒ 3x + 8 - 8 > 2 - 8 ⇒ 3x > - 6 ⇒ 3x/3 > - 6/3 ⇒ x > - 2 (i) The integers greater than - 2 are - 1, 0, 1, 2, .... Thus, when x is an integer, the solutions of the given inequality are - 1, 0, 1, 2... Hence, in this case, the solution set is {- 1, 0, 1, 2...
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Finding Limits Involving Trigonometric Functions Question Video: Finding Limits Involving Trigonometric Functions Mathematics • Second Year of Secondary School Find lim_(𝑥 → 0) (sin²2𝑥)/4𝑥. Video Transcript Find the limit as 𝑥 approaches zero of the sin squared of two 𝑥 divided by four 𝑥. The question is aski...
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E.1 Linear Approximation Next: E.2 Circular Aperture Up: E. Diffraction in Far Previous: E. Diffraction in Far E.1 Linear Approximation For the following discussion, Figure E.1 shows the situation. The aperture is positioned in the E.2). ...
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One-Sample T-test in R What is one-sample t-test? one-sample t-test is used to compare the mean of one sample to a known standard (or theoretical/hypothetical) mean (\(\mu\)). Generally, the theoretical mean comes from: • a previous experiment. For example, compare whether the mean weight of mice differs from ...
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The Comprehensive Guide to Coefficient of Viscosity: A Detailed Exploration The coefficient of viscosity (η) is a fundamental property that quantifies a fluid’s resistance to flow under an applied force. This crucial parameter plays a pivotal role in various industries, from food processing to petroleum refining, and...
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PICUP Exercise Sets: 2-Body Gravitation + 2-Body Gravitation Developed by Walter Freeman and Kelly Roos - Published June 5, 2019 DOI: 10.1119/PICUP.Exercise.2bgrav In this exercise set, the student builds a computational model of a gravitational 2-body system consisting of a mass *m* gravitationally bound to a larg...
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hort- dsp.ISTFT Description The dsp.ISTFT object computes the inverse short-time Fourier transform (ISTFT) of the frequency-domain input signal and returns the time-domain output. The object accepts frames of Fourier-transformed data, converts these frames into the time domain using the IFFT operation, and performs o...
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Natural Frequencies and Modes of Natural Vibration The crank gear consists of coupled moments of inertia and torsional rigidities with mutually influential vibration behavior. Movement equations are created for the individual moments of inertia. A system is obtained of homogeneously coupled linear differential equati...
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2016 AMC 12B Problems/Problem 20 Problem A set of teams held a round-robin tournament in which every team played every other team exactly once. Every team won $10$ games and lost $10$ games; there were no ties. How many sets of three teams $\{A, B, C\}$ were there in which $A$ beat $B$, $B$ beat $C$, and $C$ beat $A...
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AggWAvg | Deephaven Version: Java (Groovy) AggWAvg returns an aggregator that computes the weighted average of values, within an aggregation group, for each input column. Syntax​ AggWAvg(weightColumn, pairs...) Parameters​ Parameter Type ...
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IRR Multiple Calculator - CalculatorBox What Is IRR Internal Rate of Return is one of the many metrics investors use to estimate the profitability of various investments and financial tools. The IRR is a metric that calculates the rate of return that makes the net present value of the investment equivalent to zero. ...
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Basketball probability question Let me switch back to probabilities. If a player shots a basketball continuously with a probability of making a goal at 1/100, how many shots will be needed by average to see two goals back to back, or gapped by only one miss? Quote: aceside Let me switch back to probabilities....
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Solving Trigonometric Equations Involving Special Angles Question Video: Solving Trigonometric Equations Involving Special Angles Mathematics • First Year of Secondary School Find the set of values satisfying √2 sin 𝜃 cos 𝜃 − cos 𝜃 = 0 where 0° ≤ 𝜃 < 360°. Video Transcript Find the set of values satisfying root ...
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Risk Based Inspection and Maintenance Systems for Steam Turbines - Free Download PDF Download Risk Based Inspection and Maintenance Systems for Steam Turbines... International Journal of Pressure Vessels and Piping 81 (2004) 825–835 www.elsevier.com/locate/ijpvp Risk-based inspection and maintenance systems for steam...
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An Infant Reasons outthe Fourier Transform with DIKWP Yucong Duan International Standardization Committee of Networked DIKWP for Artificial Intelligence Evaluation(DIKWP-SC) World Artificial Consciousness CIC(WAC) World Conference on Artificial Consciousness(WCAC) (Email: duanyucong@hotmail.com) Introduction Fr...
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Square & Square Root of 289 - Examples, Methods, Calculation Square & Square Root of 289 Square of 289 289²(289 × 289) = 83,521 The square of 289 is 83,521 289×289 = 83,521. So, the square of 289 is 83,521. This means that if you take the number 289 and multiply it by itself, you will get 83,521 as the result. Th...
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Ratios and Rates To view this video please enable Javascript Summary Understanding and solving problems involving rates and ratios is crucial for mastering ACT math questions, focusing on setting up proportions to find unknown values. • Rates are ratios with different units in the numerator and denominator, essent...
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05 Feb Beyond Linear Modeling using R (part-2) In a previous post we fitted a non linear model to some randomly generated data. Here we will a different type of non-linear function and evaluate the results. Modeling In this approach we will model the same data generated by the previous post but the relationship bet...
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s - Nick Callow 1 « on: November 20, 2018, 06:41:50 AM » Part A 1. Find the complementary solution by considering the homogeneous equation $y'' - 5y' + 6y = 0$. Try a solution of the form $y(t) = e^{rt}$. Doing so, we get the characteristic equation: \begin{align} r^2 - 5r + 6 = 0 \\ (r-2)(r-3) = 0 \end{align} The...
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How to Calculate confidence interval equation Confidence intervals are a fundamental concept in statistics, offering a range of values that are likely to contain a population parameter. They provide a measure of uncertainty around an estimate, such as a sample mean, and are used extensively in research, data analysis, ...
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Precoder design for MIMO systems over spatially correlated Ricean fading channels 空間相關的萊斯衰落信道下 MIMO 系統的預編碼設計 Student thesis: Doctoral Thesis Author(s) Related Research Unit(s) Abstract In response to the considerable increase in mobile data tra±c driven by multimedia and cloud-based services, multiple input mult...
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Review: Terms and Expressions with Exponents Learning Objectives • Identify the components of a term containing integer exponents • Evaluate expressions containing integer exponents Anatomy of exponential terms We use exponential notation to write repeated multiplication. For example [latex]10\cdot10\cdot10[/lat...
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The scale of a spring balance that reads from 0 to 42.1 kg is 10.0 cm... The scale of a spring balance that reads from 0 to 42.1 kg is 10.0 cm... The scale of a spring balance that reads from 0 to 42.1 kg is 10.0 cm long. A package suspended from the balance is found to oscillate vertically with a frequency of 2.87 Hz...
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how to calculate effective volume of ball mill • How to Measure Grinding Efficiency. The first two Grinding Efficiency Measurement examples are given to show how to calculate Wio and Wioc for single stage ball mills. Figure 1. The first example is a comparison of two parallel mills from a daily operating r...
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Mandelbrot Diversion : Mandelbrot sets The Mandelbrot set is a set of complex numbers. To find if a point is in the Mandelbrot set we work out the Mandelbrot function for that point then repeatedly apply function over and over starting at zero. If the resulting sequence does not "explode" then the original point is ...
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Prove that the points A ( – 5, 4), B ( – 1, – 2) and C (5, 2) are the vertices of an isosceles right angled triangle. Find the co-ordinates of D so that ABCD is a square. - Ask TrueMaths!Prove that the points A ( – 5, 4), B ( – 1, – 2) and C (5, 2) are the vertices of an isosceles right angled triangle. Find the co-ord...
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Fibration This article is about fibrations in algebraic topology. For fibrations in category theory, as used in descent theory and categorical logic, see Fibred category . In topology, a branch of mathematics, a fibration is a generalization of the notion of a fiber bundle. A fiber bundle makes precise the idea of ...
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In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {-1,1}).^[1]^[2] Alternative names are switching function, used especially in older computer science literature,^[3]^[4] and truth function (or logical function), used in lo...
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General formula for normal moments Yesterday I wrote about how to find moments of the normal distribution using Sage. Then GlennF left a comment saying it’s not too hard to work out the moments analytically and outlined a proof. I’ll fill in a few details here. First, start with a standard normal distribution Z. Tha...
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Graphing Quadratic Functions Lesson Video: Graphing Quadratic Functions In this video, we will learn how to graph any quadratic function using a table of values and a given interval and identify the features of the graph. Video Transcript In this video, we’ll learn how to graph any quadratic function that’s given in...
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Try the Free Math Solver or Scroll down to Tutorials! Please use this form if you would like to have this math solver on your website, free of charge. ┌───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────...
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In what direction is the directional derivative maximum? - Our Planet Today on April 27, 2022 In what direction is the directional derivative maximum? Space and Astronomy the same direction∇ f ∇ f and the unit vector point in the same direction. What is the maximum directional derivative of a surface? Detailed Sol...
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Rules for Arithmetic With Approximate Numbers The reason we have to be concerned with concepts such as exact and approximate numbers, and significant digits, precision and accuracy of approximate numbers, is to make sure that when we work with numbers representing actual measurements of physical quantities, we unders...
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dtgsy2 - Linux Manuals (3) dtgsy2 (3) - Linux Manuals NAME dtgsy2.f - SYNOPSIS Functions/Subroutines subroutine dtgsy2 (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, RDSUM, RDSCAL, IWORK, PQ, INFO) DTGSY2 solves the generalized Sylvester equation (unblocked algorithm). Function/Subrou...
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A ball with a mass of 7 kg moving at 14 ms^-1 hits a still ball with a mass of 15 kg. If the first ball stops moving, how fast is the second ball moving? | Socratic A ball with a mass of #7# #kg# moving at #14# #ms^-1# hits a still ball with a mass of #15# #kg#. If the first ball stops moving, how fast is the second ba...
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One key factor in achieving high efficiency of a Metropolis-based Markov chain is finding a good proposal distribution for each block of parameters. This process is referred to as tuning. The tuning phase consists of a number of loops. The minimum number of loops is controlled by the option MINTUNE=, with a default va...
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Square Pyramid A square pyramid is a Pyramid with a Square base. If the top of the pyramid is cut off by a Plane, a square Pyramidal Frustum is obtained. If the four Triangles of the square pyramid are Equilateral, the square pyramid is the ``regular'' Polyhedron known as Johnson Solid and, for side length , has height...
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The Stacks project Example 64.14.5. Let $C = E$ be an elliptic curve and $\varphi = [n]$ be multiplication by $n$. Then $\varphi ^* = \varphi ^ t$ is multiplication by $n$ on the jacobian, so it has trace $2n$ and degree $n^2$. On the other hand, the fixed points of $\varphi $ are the points $p \in E$ such that $n p = ...
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Derivative of Tan x - Formula, Proof, Examples The tangent function is one of the most significant trigonometric functions in mathematics, physics, and engineering. It is a fundamental idea used in a lot of fields to model multiple phenomena, including signal processing, wave motion, and optics. The derivative of tan ...
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Problem 411 The table shows the result of a survey in  which 143 men and 145 women workers ages 25 to 64 were asked if they have at least one month’s set aside for emergencies. Men Women Total Less than one month’s income 64 85 149 One month’s income or more 79 60 139 Total ...
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None <p><span style="font-size:18px;"><strong>Note</strong>: many students have been confused and asked us (about 4 minutes into the video) why x = 0 does not work, when it supposedly does in the final expression. The reason is that you need to look at the&nbsp;<strong>initial</strong>&nbsp;expression instead, where x ...
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Simple Linear Regression Based Forecasting Introduction: Simple linear regression is a widely used statistical method for forecasting. It establishes a linear relationship between a dependent variable (the variable to be forecasted) and an independent variable (a predictor variable). By analyzing historical data, th...
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⚙️ Binary Search Finding Max/Min Template in Javascript 🏁 Introduction Albert Einstein once said, "If you can't explain it simply, you don't understand it well enough." I find great inspiration in Einstein's words, as they motivate me to explore subjects thoroughly, seeking not just surface-level knowledge but a dee...
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Elements of Geometry and two in order, have the same ratio, viz. A : B :: E: F; B: C :: F: G; C: D:: G: H, then A: D:: E: H. A, B, C, D, ...
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Pythagorean Theorem by Analytic Geometry Nuno Luzia Universidade Federal do Rio de Janeiro, Instituto de Matemática Rio de Janeiro 21941-909, Brazil The theorem is ilustrated in figure below. The figure below is obtained by putting another right triangle (marked with dotted line) on top of the original one, so as t...
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In Maths a cable manufacturers win a tender to supply 50 km of cable to a town planner. The cable to be supplied consisted of three insulated face win and one bear ground wire. The cost of the wire used in a cable are as follows : Insulated wire rs 5/ m , bare wire rs 3/ m PVC covering rs 2 / m . What will the cable to...
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1977 AHSME Problems/Problem 15 Problem $[asy] size(120); real t = 2/sqrt(3); real x = 1 + sqrt(3); pair A = t*dir(90), D = x*A; pair B = t*dir(210), E = x*B; pair C = t*dir(330), F = x*C; draw(D--E--F--cycle); draw(Circle(A, 1)); draw (Circle(B, 1)); draw(Circle(C, 1)); //Credit to MSTang for the diagram [/asy]$ Eac...
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Misc 15 - If (x - a)2 + (y - b)2 = c2, prove [1 + (dy/dx)2]3/2 Misc 15 - Chapter 5 Class 12 Continuity and Differentiability Last updated at April 16, 2024 by Teachoo Transcript Misc 15 If (𝑥 – 𝑎)^2+ (𝑦 – 𝑏)^2= 𝑐2, for some 𝑐 > 0, prove that 〖[1 + (𝑑𝑦/𝑑𝑥)^2 ]/((𝑑^2 𝑦)/〖𝑑𝑥〗^2 )〗^(3/2)is a constant indep...
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“Matchmaker”: Edmonds’ Algorithm for Maximum Weighted Matching | enscribe.dev Intro I was recently invited by the academic team “DN” (the name, surprisingly, has no inappropriate connotation) to compete in Mentor High School’s second CTF iteration, MHSCTF 2023. Although the competition ran for 15 days, we maxed out th...
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How To Solve Number Series In Numerical Ability Tests Number series questions in numerical reasoning assessments consist of a group of numbers that share a logical rule based on elementary arithmetic. Numbers in a series are described as ‘terms’, and they are presented in a sequence with gaps – the candidate must find...
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3.3 Average speed You’ve probably seen one of these signs whilst travelling along the motorway through roadworks. Perhaps you were in an average speed check zone of 50 mph and found your speed had crept up to 55 mph – what do you do? Slow down! If you only slow down to the speed limit of 50 mph however, you may well ...
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Quantum Physics – Incompressible Dynamics Is there some connection between the Mathematics of Euler’s Identity and the Physics of a Photon? Euler’s Formula (e^ix = cos(x) + i sin(x) ) is usually thought of as a mathematical description of how a “vector rotates” through an angle in the complex plane; and consequently E...
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How do you write the standard form of the equation given (3,1) and slope 1/2? | Socratic How do you write the standard form of the equation given (3,1) and slope 1/2? 1 Answer $\textcolor{red}{1} x - \textcolor{b l u e}{2} y = \textcolor{g r e e n}{1}$ Or $x - \textcolor{b l u e}{2} y = \textcolor{g r e e n}{1}$ E...
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Pseudo-convex and pseudo-concave From Encyclopedia of Mathematics Properties of domains in complex spaces, as well as of complex spaces and functions on them, analogous to convexity and concavity properties of domains and functions in the space $ \mathbf R ^ {n} $. A real-valued function $ \phi $ of class $ C ^ {2} ...
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Scaling with Combinators and the Static Modeling Language Scaling with Combinators and the Static Modeling Language Up until this point, we have been using Gen’s generic built-in modeling language, which is a very flexible modeling language that is shallowly embedded in Julia. However, better performance and scaling ...
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How To Calculate Bar Bending Schedule For Slab | One Way And Two Way How to calculate bar Bending Schedule for Slab | One way and Two way Before calculation of bar bending schedule for one way and two-way slab, I would like to suggest you read the article “What makes one-way slab and two-way slab different from each o...
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Strength of Materials/General State of Stress - Wikibooks, open books for an open world The general state of stress can be represented by a symmetric 3 x 3 matrix. It is always possible to choose a coordinate system such that all shear stresses are zero. The 3 x 3 matrix is then diagonalised, with the three principal ...
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Indirect survey The usual way to statistically determine the prevalence of a given trait T in a population involves selecting a representative population sample and having their members answer the question "Do you have trait T?"; the number of affirmative questions divided by the size of the sample is an estimate of th...
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Machine Learning Theory and Fundamentals | rfb Machine Learning Theory and Fundamentals The Task: Build a Model to Predict Blood Pressure Business and Data Understanding Hypertension (high blood pressure) is a treatable condition, but measuring blood pressure requires specialized equipment that most people do not ha...
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Tests for Pairwise Mean Differences in R Introduction Inspired by Jonas K. Lindeløv’s excellent website this post will walk through common statistical tests used when analyzing categorical variables in R. I’ll cover 5 situations: 1. pairwise differences between members of a category 2. comparison to the overall c...
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