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What is Effusion? Effusion and Diffusion are very similar. Diffusion is the movement of particles or molecules across one or more barriers with tiny holes in it. Effusion is a simplified type of Diffusion. That is, effusion is the movement of particles or molecules through only one hole between only two containers. H...
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Horizon - Wikiwand The horizon is the apparent curve that separates the surface of a celestial body from its sky when viewed from the perspective of an observer on or near the surface of the relevant body. This curve divides all viewing directions based on whether it intersects the relevant body's surface or not. ...
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If one diagonal of a square is along the line x=2y and one of its vertex is (3,0), then its sides through the vertex are given by the equations? | Socratic If one diagonal of a square is along the line #x=2y# and one of its vertex is #(3,0)#, then its sides through the vertex are given by the equations? Ans: $y - 3 x ...
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Device Localization in Wireless Systems Localizing an active wireless device based on measurements from an array of spatially separated wireless sensors with known positions has been an increasingly important problem in current and next-generation wireless localization systems. Time of arrival (TOA) and time differenc...
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Pareto paretosearch Find points in Pareto set Description x = paretosearch(fun,nvars) finds nondominated points of the multiobjective function fun. The nvars argument is the dimension of the optimization problem (number of decision variables). x = paretosearch(fun,nvars,A,b,Aeq,beq) finds nondominated points subj...
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Evaluate the indefinite integral. \int \frac{12x^{2}+24x}{x^{3}+3x^{2}+2} Algotssleeddynf Answered question 2021-12-29 Evaluate the indefinite integral. $\int \frac{12{x}^{2}+24x}{{x}^{3}+3{x}^{2}+2}$ Answer & Explanation Step 1 Consider the provided indefinite integral, Simplify the given indefinite integral as...
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(1) What is the excess number of electrons that must be placed on eac Electrostatics> Charge is Quantized... (1) What is the excess number of electrons that must be placed on each of two small sphere spaced 3cm apart so that a force of repulsion that acts between them becomes 10-19N(a)25(b)225(c)625(d) 125Please show ...
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The previous post used the Lambert W function to solve an equation that came up in counting partitions of an integer. The first solution found didn’t make sense in context, but another solution, one on a different branch, did. The default branch k = 0 wasn’t what we were after, but the branch k = -1 was. Branches 0 a...
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The authors of a paper describe an experiment to evaluate the effect of using a cell... The authors of a paper describe an experiment to evaluate the effect of using a cell... The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked to perform a s...
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How to calculate and plot the inverse cosine in python ? To find the inverse cosine, a solution is to use either math's acos() or numpy's arccos(). Examples: Using Math acos() To calculate inverse cosine in python, first use the "math" module to find the inverse cosine of a given angle. The syntax for this is import...
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Math, Grade 7, Putting Math to Work, Calculating Ranges Of Strouhal Numbers Calculating Ranges Of Strouhal Numbers Overview Students create a bar graph showing the Strouhal numbers for a variety of birds and bats and use their graph and other data to compare the Strouhal numbers of the different animals to analyze va...
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What is the future value of a sum of money? + Example What is the future value of a sum of money? 1 Answer The future value of a sum of money is given by 'growing' the current value of that money at the appropriate interest rate (or return rate) over the relevant period of time. A simple formula is: $F V = P V {\le...
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Variational Inference using Implicit Models Part IV: Denoisers instead of DiscriminatorsVariational Inference using Implicit Models Part IV: Denoisers instead of Discriminators January 26, 2017 Variational Inference using Implicit Models Part IV: Denoisers instead of Discriminators This post is part of a series of tu...
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February 2015 – DataSurg Statistical approaches to randomised controlled trial analysis The statistical approach used in the design and analysis of the vast majority of clinical studies is often referred to as classical or frequentist. Conclusions are made on the results of hypothesis tests with generation of p-values...
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Matrix groups · Oscar.jl matrix_group(R::Ring, m::Int, V::T...) where T<:Union{MatElem,MatrixGroupElem} matrix_group(R::Ring, m::Int, V::AbstractVector{T}) where T<:Union{MatElem,MatrixGroupElem} matrix_group(V::T...) where T<:Union{MatElem,MatrixGroupElem} matrix_group(V::AbstractVector{T}) where T<:Union{MatElem,Matr...
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Getting to grips with Batch Norms — Quaternion Identity Getting to grips with Batch Norms This week I completed Assignment 2 from the awesome Stanford Cs231n course. This included implementing (among other things) vectorized backpropogation, batch & layer normalization & building a CNN to train CIFAR-10 both in vanill...
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NCERT Class 10th Maths Solutions Chapter 6 Triangles Ex 6.2 In this post, we will share NCERT Class 10th Maths Book Solutions Chapter 6 Triangles Ex 6.2. These solutions are based on new NCERT Syllabus. NCERT Class 10th Maths Solutions Chapter 6 Triangles Ex 6.2 Question 1. In figures (i) and (ii), DE || SC. Find EC ...
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Solution to Count-Non-Divisible by codility 28 Jan Question: https://codility.com/demo/take-sample-test/count_non_divisible Question Name: CountNonDivisible Solution to Count-Non-Divisible by codility Python 1 def solution(A): 2 from math import sqrt 3 A_max = max(A) 4 A_len = len(A) 5 # Compute the fre...
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SPPU Thermodynamics - December 2014 Exam Question Paper | Stupidsid Total marks: -- Total time: -- INSTRUCTIONS (1) Assume appropriate data and state your reasons (2) Marks are given to the right of every question (3) Draw neat diagrams wherever necessary Solve any one question from Q1 and Q2 1 (a) State limitations...
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🟡 1d Brusselator (automatic) · Bifurcation Analysis in Julia We look at the Brusselator in 1d (see ^[Lust]). The equations are \[\begin{aligned} \frac { \partial X } { \partial t } & = \frac { D _ { 1 } } { l ^ { 2 } } \frac { \partial ^ { 2 } X } { \partial z ^ { 2 } } + X ^ { 2 } Y - ( β + 1 ) X + α \\ \frac { \par...
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Practice Problems for Pre-Algebra and Elementary Algebra - Building Your Pre-Algebra and Elementary Algebra Skills - ACT Math For Dummies ACT Math For Dummies (2011) Part II. Building Your Pre-Algebra and Elementary Algebra Skills Chapter 6. Practice Problems for Pre-Algebra and Elementary Algebra Ready for some pre...
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Discrete Fourier Transform in Excel For our example, we'll use sample data simulated from ARMA(2,1) process. Script for Discrete Fourier Transform video Scene 1: Introduction Welcome to the Discrete Fourier Transform (DFT) tutorial. In this video, we'll demonstrate the use of the DFT to transform sample data into it...
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MATH 1332 Introduction to Mathematics (M 302), Unit 5, 5.2 Euler characteristic 5.2 Euler characteristic Overview ┌────────────────┬────────────────────────────────────┐ │TCCNS Course │MATH 1332: Contemporary Mathematics │ ├────────────────┼────────────────────────────────────┤ │UT Austin Course│M 302: Introductio...
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Rations for Milk Production 1. RATIONS FOR MILK PRODUCTION (continued) In the last lecture you were shown how to make up a ration for production of milk of 4% butterfat This was a simple ration for milk production using two ingredients; maize meal and groundnut cake. It is possible to buy ready-mixed rations for mi...
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Two Long Straight Wires Are Parallel And 8.0cm Apart. They Are To Carry Equal Current Such That The Magnetic To determine the directions and magnitudes of the currents in the wires, we can apply the right-hand rule for magnetic fields produced by current-carrying wires. (a) If the magnetic field at a point halfway bet...
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Matrix Inverse Calculator Matrix Inverse Calculator Calculate matrix inverse step by step The calculator will find the inverse (if it exists) of the square matrix using the Gaussian elimination method or the adjoint method, with steps shown. Related calculators: Gauss-Jordan Elimination Calculator, Pseudoinverse Ca...
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How do you test f(x)=8 x^4−9 x^3 +9 for concavity and inflection points? | Socratic How do you test #f(x)=8 x^4−9 x^3 +9# for concavity and inflection points? 1 Answer Explanation: To test for the concavity and inflection points you need to equate the second order derivative with zero. Keeping in mind: • $\frac{...
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Evolutionary advantages of turning points in human cooperative behaviour Abstract Cooperation is crucial to overcome some of the most pressing social challenges of our times, such as the spreading of infectious diseases, corruption and environmental conservation. Yet, how cooperation emerges and persists is still a pu...
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We introduce a multi-lingual crypto library, specifically designed to support the Internet of Things. Download this paper on The Apache Milagro Crypto Library 1 Introduction There are many crypto libraries out there. Many offer a bewildering variety of cryptographic primitives, at different levels of security. Many...
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Single-source Shortest Path (Weighted) - TigerGraph Graph Data Science Library Single-source Shortest Path (Weighted) Updated 15 Oct 2024 to document the overlooked epsilon parameter. Finding shortest paths in a graph with weighted edges is algorithmically harder than in an unweighted graph because even after you fi...
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Infinity | World of Mathematics – Mathigon Introduction Infinity is without doubt one of the hardest mathematical concepts to understand. Many ideas that we find intuitive when working with normal numbers don’t work anymore, and instead there are countless apparent paradoxes. Is there a largest number? Is there anythi...
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Analyzing an FM signal Frequency modulation combines a signal with a carrier wave by changing (modulating) the carrier wave’s frequency. Starting with a cosine carrier wave with frequency f[c] Hz and adding a signal with amplitude β and frequency f[m] Hz results in the combination The factor β is known as the modul...
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Calculating Centered and Non-centered Historical Volatility Yesterday in What Is Historical Volatility? I attempted to provide a brief overview of historical volatility (HV) and put it in a broader volatility context. Today I will endeavor to address the most frequent question I get about historical volatility: exactl...
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Problem 048 – trick or treat Can you help these kids trick or treat their entire neighbourhood in this Halloween special? Photo by Taylor Rooney on Unsplash. Problem statement It's Halloween night. Jack, Frank, and their 98 friends are getting ready to trick or treat their entire neighbourhood. This year, the gro...
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Nonlinear Analysis of Built-in Sensor in Smart Device under the Condition of Voice Actuating School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China ^* Author to whom correspondence should be addressed. Submission received: 25 February 2019 / Revised: 12 March 2019 / Accepted: 15 Marc...
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Hydraulic Radius Calculator (Full Pipe) - Symbolab About Hydraulic Radius Calculator (Full Pipe) • Hydraulic radius is a crucial parameter used by engineers and scientists to study and design fluid flow systems, particularly in open channels and pipes. The hydraulic radius is defined as the ratio of the cross-se...
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The Monty Hall Problem, Bayes Theorem, and a fault in Numberphile I watch a lot of educational videos on YouTube, in particular the awesome channel Numberphile. I recently saw their video on the Monty Hall Problem, and was kind of disappointed at what seemed to be a rather pointless calculation that didn't really show ...
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Integral of Introduction to integral of sin(lnx) In calculus, the integral is a fundamental concept that assigns numbers to functions to define displacement, area, volume, and all those functions that contain a combination of tiny elements. It is categorized into two parts, definite integral and indefinite integral. ...
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E 100 research outputs found In this paper we review the theory of the Yang-Baxter equation related to the 6-vertex model and its higher spin generalizations. We employ a 3D approach to the problem. Starting with the 3D R-matrix, we consider a two-layer projection of the corresponding 3D lattice model. As a result,...
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light curves Light curves of transients (like supernovae and kilonovae) are a powerful tool for understanding the underlying astrophysics of eruptions, explosions and collisions of stars. With a few simplifying assumptions, we can create analytical models of these events which are in good agreement with observations. ...
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Meditations on Mathematics Jiǔ zhāng suàn shù (The Nine Chapters on the Mathematical Art) found at the MAA Convergence website. “Now a good horse and an inferior horse set out from Chang’an to Qi.  Qi is 3000 li from Chang’an.  The good horse travels 193 li on the first day and daily increases by 13 li; the inferior h...
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Weierstrass Elliptic Function Here David Chudzicki shows how the Weierstrass elliptic function is built up as a sum of terms, one for each point in a lattice in the complex plane. Each term has a pole at one lattice point. The resulting function is periodic in two directions and analytic except for poles at the lattic...
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molar concentration property>molar concentration What is Molar Concentration? In Chemistry, the molar concentration or molarity of a solute is the measure of its concentration within a given volume of some kind of solution. Molarity is also the concentration of any molecular, ionic, or atomic species within some spe...
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Simulating Open Loop Gain - Designalog Open loop gain is a crucial parameter of an op-amp amplifier. While designing the feedback network around it assuming infinite loop gain is easy to do, one, sometimes, needs to know the poles and open loop gain of the amplifier in order to do frequency compensation, or know what t...
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Blog QR codes do not expire. QR codes do not have a limit on total scans. QR codes do not allow their creators to track you when you use them, or monetize that process. When I have computer problems, as I often do, my usual response is somewhere on the spectrum from frustration to anger. This usually works pretty well...
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ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 9 Direct and Inverse Variation Ex 9.1 Question 1. Observe the following tables and find if x and y are directly proportional: (i) ┏━┯━━┯━━┯━━┯━━┯━━┯━━━━┓ ┃x│5 │8 │12│15│18│20 ┃ ┠─┼──┼──┼──┼──┼──┼────┨ ┃y│15│24│36│60│72│100 ┃ ┗━┷━━┷━━┷━━┷━━┷━━┷━━━━┛ (ii) Solution...
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[EM] mutual majority set Paul Kislanko kislanko at airmail.net Sun Feb 6 16:20:36 PST 2011 I try to follow these discussions, but eventually every one of them turns into jargon thatI don't have time to research. I'm confused by the term "mutual" majority, which by it's nae ought to imply finding the subsets of VOTERS...
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Constrained Feedback Stabilization for Bilinear Parabolic Systems Constrained Feedback Stabilization for Bilinear Parabolic Systems () 1. Introduction Bilinear systems represent a small, but important subset of nonlinear systems within which linear systems coexist as a special subclass. Adopting a bilinear model reta...
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st Lesson 8 Position, Speed, and Direction Let's use signed numbers to represent movement. 8.1: Distance, Rate, Time 1. An airplane moves at a constant speed of 120 miles per hour for 3 hours. How far does it go? 2. A train moves at constant speed and travels 6 miles in 4 minutes. What is its speed in miles per m...
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In order to check we are getting the correct result this page starts with a euler angle, converts it to a quaternion, then converts it back to to euler angle. When we have done the complete rond trip we end up with the same angles which gives confidence that the method is correct. So lets start with the following eul...
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A math question: fitting a square into a circle I swear to Cecil I have not been in school for 8 years, so this isn’t a homework question, I just have a personal little project that I’m too dumb for. How do you figure out the measurement for the side of a square if you know the measurement for the diagonal? (The squar...
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Lateral control of intelligent vehicles using radial basis function neural networks with sliding mode control based on fractional order calculus Abstract Purpose This paper aimed a fractional-order sliding mode-based lateral lane-change control method that was proposed to improve the path-tracking accuracy of vehicle...
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Robin's Inequality 🐦 | Joe McCann Problem Description This problem is one that I have tinkered around with a lot, and work that I am actually quite proud of. Sadly this problem is an equivalent formulation as the Riemann Hypothesis, so I will likely never actually prove it, however theres some cool progress that I ca...
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Cumulant Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social | Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology | Statistics: Scientific method · Research methods · Experimental de...
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What is the net area between f(x) = 2/x^3 and the x-axis over x in [1, 2 ]? | Socratic What is the net area between #f(x) = 2/x^3 # and the x-axis over #x in [1, 2 ]#? 1 Answer Explanation: The problem can be expressed in terms of an integral like so ${\int}_{1}^{2} \left(2 {x}^{-} 3\right) \mathrm{dx}$ Integrate...
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Video of Black holes and why time slows down when you are near one | Britannica Black holes and why time slows down when you are near one Black holes and why time slows down when you are near one Transcript BRIAN GREENE: Hey, everyone. Welcome to this next episode of Your Daily Equation, or maybe it's going to be yo...
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Factors And Multiples $7\,$ is a factor of $\,$56\,$ while $56\,$ is a multiple of $7.\,$ Both mean that $7\,$ divides $56\,$ or which is again the same that $56\,$ is divisible by $7.\,$ More generally, for any two integers $P\,$ and $Q,\,$ the following statements express exactly the same fact about $P\,$ and $Q:\,...
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Mostyn J. An appeal concerning the correct approach to the calculation of child maintenance liability in which Mostyn J adds to the ever-expanding repository of family law acronyms. The mother (‘M’) and father (‘F’) had married in 2010, but separated in 2012 with the financial consequences of their divorce resolved b...
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Using Abelian Gauge relating to theory • • Thread starter rwooduk • Start date In summary, the conversation discusses the derivation of the Dirac equation and its invariance under local gauge transformations. The individual attempts to work through part (b) and (c) of the homework, and clarifies the meaning of...
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0x0030 - The Clock Problem - or Iteration over Various Base N Sets in a Cuda Coding Environment The Clock Problem - or Iteration over Various Base N Sets in a Cuda Coding Environment Photo by insung yoon / Unsplash The simplest way to understand the Various Base N problem  is explained in a question: I have 12...
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\text{Rs}}.5400$ as interest , how much did he invest at each rate? Hint- In order to solve this question, we have to assume a value that he invested at a different rate of interests and then solve the equation. Thus, in this way we get our desired answer. Complete step-by-step answer: We have given that Vijay investe...
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Convert The Following Repeating Consecutive Decimals To Fractions. For Example, 0.499999... 1/2 (a) 0.7777... (2024) Answers Answer 1 0.123412341234... is equal to the fraction 1234/9999. (a) To convert 0.7777... to a fraction, let x = 0.7777.... Then, multiplying both sides by 10, we get: 10x = 7.7777... Subtrac...
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Beam Bending Stress formula calculator | Alvacus Beam Bending Stress formula calculator Description This online beam bending stress calculator helps you analyze and design beams with accuracy and efficiency. Calculate stress, identify critical sections, and ensure structural integrity. Quickly solve for bending momen...
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Fruit processing Thermal treatments First Bigelow's Law A thermal process of pasteurization is an operation that aims to reduce the initial number $N_0$ of microbial pathogens that are in a state of vegetative cells. The reduction of the number of microorganisms can be represented by the following equation: $$ N_0 \...
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Residual error model Objectives: learn how to use the predefined residual error models. Projects: warfarinPKlibrary_project, bandModel_project, autocorrelation_project, errorGroup_project Introduction For continuous data, we are going to consider scalar outcomes ($y_{ij}\in \mathbb{R}$) and assume the following ge...
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OpenStax College Physics, Chapter 3, Problem 43 (Problems & Exercises) Question Can a goalkeeper at her/ his goal kick a soccer ball into the opponent's goal without the ball touching the ground? The distance will be about 95 m. A goalkeeper can give the ball a speed of 30 m/s. Question by OpenStax is licensed unde...
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Two matrices A and B for which AB and BA have different minimal polynomials We consider here the algebra of matrices \(\mathcal{M}_n(\mathbb F)\) of dimension \(n \ge 1\) over a field \(\mathbb F\). It is well known that for \(A,B \in \mathcal{M}_n(\mathbb F)\), the characteristic polynomial \(p_{AB}\) of the produc...
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[Math, Transparency] Loot box unit pricing explained - Update Gems & HotM added Subject [Math, Transparency] Lootbox unit pricing explained - Update Gems & HotM added Inquiry An Australian inquiry into lootbox in game ( see Notes ) discussed several tactics loot boxes use the hide the cost of acquiring a virtual ite...
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Speed of light in lossy dielectric medium • • Thread starter WhiteHaired • Start date In summary, the speed of light in a dielectric medium is ##v=\frac{c}{\sqrt{\epsilon_r}}##, where ##c## is the speed of light in vacuum and ##\epsilon_r## is the relative permittivity. It is usually written that the speed of...
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Bayesian Statistics Yes, abstract algebra is actually useful for machine learning. Introduction Machine learning operates on images, text, speech and much more. We intuitively understand that they include structure, but for most of us, this is where our knowledge stops. With the emergence of geometric deep learning, ...
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A Treatise on the Mathematical Theory of the Motion of Fluids transition from the plane of z to that of w, all the infinitesimal vectors drawn from the point P have their lengths altered in the same ratio, and are turned through the same angle. Hence any angle in the plane of z is equal to the corresponding angle i...
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Binomial theorem Nominations and Campaigning for the 2024 RationalWiki Moderator Election are now open Binomial theorem Jump to navigation Jump to search Part of a convergent series on Mathematics 1+1=11 We are number one v - t - e The binomial theorem is an important statement in mathematics, of ...
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Gateway Homework 2.1 Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs 78. Student grades on a chemistry exam were 77, 78, 76, 81, 86, 51, 79, 82, 84, and 99. a. Construct a stem-and-leaf plot of the data. b. Are there any potential outliers? If so, which scores are they? Why do you consider them outl...
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Calculating FRET lines A FRET line is a projection of a parameterized model to a set of single-molecule FRET observables. Such FRET experiment typically jointly determined the fluorescence weighted average lifetime of the donor \(\langle \tau \rangle_f\) in the presence of an acceptor and the FRET efficiency, E, for e...
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go_calib_optim_iter.m Line   1 %go_calib_optim_iter 2 % 3 %Main calibration function. Computes the intrinsic andextrinsic parameters. 4 %Runs as a script. 5 % 6 %INPUT: x_1,x_2,x_3,...: Feature locations on ...
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Optimization of extraction of phenolics from leaves of <italic>Ficus virens</italic> 文章被引用时,请邮件提醒。 1.Key Laboratory of Ministry of Education for Coastal and Wetland Ecosystems, School of Life Sciences, Xiamen University, Xiamen 361005, China Xiao-xin Chen, Xiao-bing Wu, Wei-ming Chai, et al. Optimization of extractio...
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┌──────────────────────────────────────────────────────────────────────────────┬──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐ │ Curve name │ $X_{3}$ ...
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Putting It Together: Quadratic, Polynomial, and Piecewise Functions At the beginning of the module, Joan had applied for a credit card with airmiles so she could pay her regular bills with it. Her hope was to build up enough miles to take a trip. Joan has planned to use her air miles card for the following things each ...
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What is a telescoping infinite series? + Example What is a telescoping infinite series? 1 Answer Here is an example of a telescoping series ${\sum}_{n = 1}^{\infty} \left(\frac{1}{n} - \frac{1}{n + 1}\right)$ $= \left(\frac{1}{1} - \frac{1}{2}\right) + \left(\frac{1}{2} - \frac{1}{3}\right) + \left(\frac{1}{3} - \fra...
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Anosov diffeomorphism . Anosov diffeomorphism In mathematics, more particularly in the fields of dynamical systems and geometric topology, an Anosov map on a manifold M is a certain type of mapping, from M to itself, with rather ...
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Special Relativity/Spacetime - Wikibooks, open books for an open world The modern approach to relativity edit Although the special theory of relativity was first proposed by Einstein in 1905, the modern approach to the theory depends upon the concept of a four-dimensional universe, that was first proposed by Hermann ...
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Math for challenging brains here are few mathematical puzzles to challenge your bdrain #C6CEEA #CCD5F4 #E2E3E7  #F07F0B 1. In a ten-digit number, first represents number of “1” present in the number, second digit  represents no of “2” in that number and third digit represents no of “3” in that number and so on nint...
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Theoretical part Calculation of the trajectory of Car Vali: The robotic electric car "Car Vali" has to drive through the rotunda, fitting into the width of the Allowed zone of the road (Fig. 4). The start of the movement is def...
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Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schrödinger Equation ^1 Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia ^2 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt ^3 Department of Mathematics, Jazan...
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List of content: Repayment structures There are two main types of loan repayment structures: • equal payment loan (annuity loan), • equal principal loan (fixed principal). Equal payment loan (annuity loan) The total monthly payment is fixed (the same amount every month). Initially, a larger portion of the pay...
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How do you integrate (x^3cos(x^2)dx)? | HIX Tutor How do you integrate #(x^3cos(x^2)dx)#? Answer 1 I found: $\frac{1}{2} \left[{x}^{2} \sin \left({x}^{2}\right) + \cos \left({x}^{2}\right)\right] + c$ I used Substitution and Integration by Parts: Sign up to view the whole answer By signing up, you agree to our Ter...
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IMU prediction 2: Double Exponential Boogaloo The whole FIR thing has served us well for the last few months, but some new developments has forced us to look into alternative prediction algorithms. Thankfully (?) I'm on many Discord channels, and someone mentioned Double Exponential Smoothing on one of them. Everyone l...
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Exercise 7.1 Q1. In quadrilateral ACBD, AC = AD and AB bisects ∠A (see Fig. 7.16). Show that Δ ABC ≅ Δ ABD. Solution: Given: AC = AD and AB bisects ∠A To prove: Δ ABC ≅ Δ ABD. Proof: In Δ ABC and Δ ABD. AC = AD [given] ∠CAB = ∠BAD [AB bisect ∠A] AB = AB [Common] By SAS Congruence Criterion Rule Δ ABC ≅ Δ ABD...
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Introduction to Polynomial Commitment Schemes (PCS) Polynomial commitment schemes (PCS) are at the core of proof systems. They determine key properties such as proof size, verification time, and whether the system is post-quantum secure. The Kate-Zaverucha-Goldberg (KZG) is a popular PCS, first appearing in 2010. Le...
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Concept of Marginal Rate of Substitution (With Equations) In this article we will discuss about the concept of marginal rate of substitution, explained with the help of suitable diagram and examples. The Marginal Rate of Substitution (MRS): Before establishing the four properties of ICs, first elaborate the idea of...
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T 7 THE ROOTS, OR ZEROS, OF A POLYNOMIAL The polynomial equation The roots, or zeros, of a polynomial The x- and y-intercepts IN THIS TOPIC we will present the basics of drawing a graph. 1. What is a polynomial equation? It is a polynomial set equal to 0. P(x) = 0. P(x) = 5x^3 − 4x^2 + 7x − 8 = 0 2. What do we...
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Elements of Geometry 214. Scholium. The proportion BD : AB :: AB : BC, by putting the product of the extremes equal to that of the means, gives 2 ...
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Teorema de la divergencia - cálculo multivariable | Elevri Teorema de la divergencia - cálculo multivariable Now we've arrived at our final theorem. Drumroll, please? This theorem is ubiquitous in physics. So it's not just one of those theorems mathematicians came up with to pickle your brain: this one is really impor...
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Statistics: Calculating Mean, Median, Mode, Standard Deviation using Ruby, R, or Javascript I'm currently studying statistics for my EMBA at USC, and the best way for me to learn is to both write down my notes and include some code. Mean Mean - The sum of all data points divided by the total number of observations. ...
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Can you eat geometric returns? This post is about a slightly obscure, but very important, issue. Should we use geometric or arithmetic means of returns to evaluate investments? This might seem boring, but answering this will help us with some other serious problems: Does diversification increase the expected value of ...
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The VFD Series – Part 1: The ups and downs of SPWM I’ve given up on trying to post periodically here. Let’s see if this brave act of reverse psychology has some effect on my productivity. Introduction Recently, I’ve started working on firmware for a three-phase frequency inverter. While this is absolutely no techno...
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How To Calculate The Secant Students taking trigonometry courses are familiar with the Pythagorean theorem and the basic trigonometric properties associated with the right triangle. Knowing the different trigonometric identities can help students solve and simplify many trigonometric problems. Identities or trigonome...
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ANCOVA and Linear Models: ANCOVA and Linear Models: Example Assignment and Solutions Download Rmd solution and data files here. Exercise 1 Researchers are interested in the relationship between height in cm and weight in kg. The file weight_height.csv contains the heights in cm and the weights in kg for 100 people....
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De Title : Alternation, Degree and Sensitivity : New Bounds and Super-linear Gaps Speaker : Krishnamoorthy Dinesh (IITM) Details : Tue, 29 Aug, 2017 2:00 PM @ Alan Turing Hall Abstract: : Often while solving computational problems, we would want to understand how ``sensitive'' the solution ...
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Documentation - SCM Electron and hole mobilities in organic electronics: charge transfer integrals¶ Calculation of charge mobilities¶ Charge mobility is of crucial importance for efficiency in organic electronic devices such as field-effect transistors (OFETs), light-emitting diodes (OLEDs) and photovolatic cells (OP...
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