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Math Forum Discussions Math Forum Ask Dr. Math Discussions Internet Newsletter MathTools Teacher2Teacher Teacher Exchange Workshops Search All of the Math Forum: Views expressed in these public forums are not endorsed by Drexel University or The Math Forum. Math Forum » Discussions » Policy and News » geometry.ann...
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coexponential map nLab coexponential map The coexponential or symmetrization map is the unique linear map from the symmetric Hopf algebra $S(L)$ on the (underlying vector space of a) Lie algebra $L$ to the enveloping Hopf algebra $U(L)$ of $L$ $e : S(L)\to U(L)$ such that $e(y)^n = e(y^n)$ for every “linear” elemen...
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History Of The Theory Of Numbers - I 368 HISTORY OF THE THEORY OF NUMBERS. [CHAP, xiv solutions if a is not a square) and testing x2 — 1 for a factor in common with a. Further, if ay+l=x2 does not hold for Ka?<a— 1, then a is a power of a prime and conversely [false if a= 10]. Marcker101 no...
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Eliminating theta September 10th 2012, 03:53 PM #1 Junior Member Joined Sep 2011 From San Antonio, TX Posts 45 Eliminating theta I have the two equations: 1) x + y = qsin(theta) 2) z = rcos(theta) The question is eliminate theta and solve for q in terms of x, y, z, and r. I'm not ...
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Math Help April 22nd 2007, 12:52 AM #1 Newbie Joined Apr 2007 Posts 6 Parabola Hello, could someone show me how I would answer these problems. Sketch the graph of the parabola y = 3x^2 −12x Circle the vertex, and state both the domain and the range (using int...
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Standard Error Explanations > Social Research > Statistical principles > Standard Error Description | Example | Discussion | See also Description If you measure a sample from a...
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Joint clustering of protein interaction networks through Markov random walk Abstract Biological networks obtained by high-throughput profiling or human curation are typically noisy. For functional module identification, single network clustering algorithms may not yield accurate and robust results. In order to borrow ...
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fast and simple constraint programming involving vectors (arrays) up vote 0 down vote favorite I have many,many, many vectors that I need to check for duplicates of numbers with some very basic first order logic. I can use intersections, but that is proving to be too slow. I thought I could turn this into a bitwise p...
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Mathematics of the Environment (Part 9) I didn’t manage to cover everything I intended last time, so I’m moving the stuff about the eccentricity of the Earth’s orbit to this week, and expanding it. Sunshine and the Earth’s orbit I bet some of you are hungry for some math. As I mentioned, it takes some work to see ho...
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Homework Help Posted by Korie on Thursday, June 6, 2013 at 2:59pm. Identify the solution of the system of equations 3x-2y=6 5x=5-25y • Algebra - Kuai, Thursday, June 6, 2013 at 3:53pm 3x -2y = 6 5x = 5 - 25y x = 1-5y Substituting 3(1-5y) -2 y = 6 3-15y -2y = 6 3- 17y = 6 3-3...
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Too many equations (collinear?) March 1st 2011, 03:17 PM #1 Junior Member Joined Apr 2010 Posts 40 Too many equations (collinear?) Hello all, I just need to clarify this. If I have too many equations (lets say 5 equations and 4 unknowns), when we say there is collinearity that means that 2 of the eq...
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Homework Help Posted by babygirl on Wednesday, August 31, 2011 at 10:16pm. solve and check.label ant contradictions or identities. 5(t+1)+8=3(t-2)+6 5t+5+8=3t-6+6 5t+13=3t 2t=-13 t=-13/2 check59t+1)+8=3(t-2)+6 5(-13/2)+1+8=3(-13/2)-2)+6 -65/2+13=-39/2 13=-39/2+65/2 13=26/2 13=13 want to know if this right ...
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Activit Activity #6 This is a series of activities which illustrate the principles behind hidden mass, rotation curves and the evidence for hidden mass. Activity #6a: Modeling Mass in the Solar System and a Galaxy In this activity, students will discover how mass is distributed in the solar system and a galaxy. Mat...
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Algebraic Structures Date: 02/22/99 at 01:24:35 From: Mari Subject: Algebraic Structures A friend and I are stuck on two homework problems. Please help us. 1) Suppose that N and M are two normal subgroups of G and that (N intersect M) = (e). Show that for any n element of N, m element of M, nm = mn. W...
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Parameterizing a curve in R^2 December 14th 2013, 01:26 PM #1 Junior Member Joined Apr 2013 From Canada Posts 42 Thanks 2 Parameterizing a curve in R^2 A circle with radius a centered at the origin O. T is a point on the circle such that OT makes angle t with the positive x-axis. The tangent...
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Java implementation of the Kalman Filter using JAMA This is a very clear and straight forward implementation of the Discrete Kalman Filter Algorithm in the Java language using the JAMA package. I wrote this code for testing and simulation purposes. import Jama.Matrix; /** * This work is licensed under a Creative Com...
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Task 5b Task 5b: How to Perform Linear Regression Using SAS Survey Procedures This example uses the demoadv dataset (download at Sample Code and Datasets). In this example, you will assess the association between systolic blood pressure (mean_spb) — the outcome variable — and calcium supplement use (anycalsup) — the e...
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MATH 1010 Group Projects #1: Maximizing the Profit of a Business Background Information: Linear Programming is a technique used for optimization of a real-world situation. Examples of optimization include maximizing the number of items that can be manufactured or minimizing the cost of production. The equation that r...
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Homework Help Posted by CHRIS on Saturday, November 9, 2013 at 1:53pm. An operation produces (A-1)/A from a fraction A=m/n, where m is not equal with n and m is not zero. If the initial value of A is 22/47 and the operation is repeated 2012 times, the final output is a/ b. What is a and b? • Maths - Reiny, Saturday...
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What about these types of radicals? June 5th 2006, 03:09 PM #1 Junior Member Joined May 2006 Posts 38 What about these types of radicals? I have only about fifty more to do at the moment and am struggling on a few more. First problem not sure I really get this type of one Use rational exponents t...
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A golf ball traveling 3 m/s August 16th 2006, 10:49 AM LLELLA A golf ball traveling 3 m/s A golf ball traveling 3 m/s to the right has a head-on collision with a stationary bowling ball in a friction-free environment. If the collision is almost perfectly elastic the speed of the golf ball immediately after t...
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Cylinder Question-Complicated May 28th 2009, 06:01 AM #1 Newbie Joined May 2009 Posts 1 A Cylinder has base of radius 7cm ...height 15cm.....it is a regular cylinder.... 1.water is filled upto height of 10cm of this cylinder , find the volume of water... Answer : v= 22/7 x 7 x 7 x 10 : volum...
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Prove Convergence September 27th 2007, 06:30 PM #1 Junior Member Joined Sep 2007 Posts 46 Prove Convergence 1a.) Prove the sequence converges which is defined by x_1 = 3 and x_(n + 1) = 1/(4 - x_n) b.) Now we know lim x_n exists... explain why lim x_(n + 1) must also exist, and further, explain why ...
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Low-discrepancy sampling methods Due to the fundamental importance of numerical integration and the intricate link between discrepancy and integration error, most sampling literature has led to low-discrepancy sequences and point sets [738,893,937]. Although motion planning is quite different from integration, it is wo...
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continuity / differentiability problem May 25th 2009, 04:56 PM #1 Member Joined Aug 2008 Posts 249 continuity / differentiability problem this problem i know how to do ("</=" means less than or equal to) f(x) = x^2 , x </= 1 x^(1/2) , x > 1 f(1) = 1^2 = 1 lim f(x) = 1 x~> 1+ lim...
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Math Forum Discussions - Re: The 11 Most Beautiful Mathematical Equations Date: Jan 31, 2013 3:05 AM Author: Tom Potter Subject: Re: The 11 Most Beautiful Mathematical Equations "1treePetrifiedForestLane" <Space998@hotmail.com> wrote in message news:8be240f8-71b6-4b00-9911-790f5fd85137@rm7g2000pbc.googlegroups.com......
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Posts about matrix on Lucky's Notes Project Euler 280 March 6, 2010 Project Euler 280 is an interesting problem involving probability and combinatorics: There is a 5×5 grid. An ant starts in the center square of the grid and walks randomly. Each step, the ant moves to an adjacent square (but not off the grid). ...
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Number theory problem September 15th 2009, 01:41 AM offahengaway and chips Number theory problem n^4-n^2=n x (n-1)n(n+1) deduce that n^4-n^2 is always divisible by 3 , for any positive integer n. Any help starting off this question would be appreciated, thanks September 15th 2009, 01:49 AM coqui...
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a question of Galois cohomology up vote 0 down vote favorite Let $R$ be a complete DVR with algebraically closed residue field $k$ and fractional field $K$ , $PGL(2)$ the automorphic group of projective line over $\overline K$. My question is: When $H^{1}(Gal(\overline K/K), PGL(2))=0$ ? Is this group trivial if $Ch...
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Non coherent demodulation of pi/8 D8PSK (TETRA) In TETRA specifications, one of the modulation technique used is $\frac{\pi}{8}$ Differential 8 Phase Shift Keying (D8PSK). We will discuss the bit error rate with non-coherent demodulation of $\frac {\pi}{8}$D8PSK in Additive White Gaussian Noise (AWGN) channel. pi/8 D...
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Relationship between free probability and deterministic graphs? up vote 7 down vote favorite Consider the $N\times N$ matrix $$ M = \left(\begin{array} \\ 0 & 1 & & 0 \\ 1 & \ddots & \ddots & \\ & \ddots & \ddots & 1 \\ 0 & & 1 & 0 \\ \end{array}\right) $$ which comes from the adjacency matrix of a graph correspondin...
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REGSTATTOOLS: freeware statistical tools for the analysis of disease population databases used in health and social studies Abstract Background The repertoire of statistical methods dealing with the descriptive analysis of the burden of a disease has been expanded and implemented in statistical software packages duri...
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Some basic questions about Chern-Simons theory up vote 5 down vote favorite 13 Let the Chern-Simons lagrangian for a group $G$ be, $$L= k \epsilon^{\mu \nu \rho} Tr[A_\mu \partial _ \nu A_\rho + \frac{2}{3} A_\mu A_\nu A_\rho]$$ Then it is claimed that on "infinitesimal" variation of the gauge field ("connection") th...
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Momentum vs. Energy Difference Between Momentum and Energy Momentum and energy the laws of motion invented by Newton. These are the properties of an object in a movement. Momentum is explained as the product of velocity and mass of the moving object. Kinetic energy is the half of product of the square of velocity and...
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TAYLOR-function null July 24th 2009, 03:50 AM #1 Newbie Joined Jul 2009 Posts 12 TAYLOR-function null hello, f is a function $C^{\infty}$ from [a,b] to $\mathbb{R}$. We suppose : $\exists x_0 \in ]a,b[ \ and \ k \ real \ >0 | \forall n\in \mathbb{N},f^{(n)}(x_0)=0 \ \ and \ \ sup_{[a,b]}\{...
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Real Numbers The Set of Real Numbers First, a few terms: Terminating Decimal: A decimal that ends, having a finite number of digits after the decimal point. Sample: 3/4 = 0.75 Repeating Decimal: A decimal that doesn't end; it shows a repeating pattern of digits after the decimal point. Sample: 1/3 = 0.3333... For qu...
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eek April 23, 1995 This Week's Finds in Mathematical Physics (Week 51) John Baez For people in theoretical physics, Trieste is a kind of mecca. It's an Italian town on the Adriatic quite near the border with Slovenia, and it's quite charming, especially the castle of Maximilian near the coast, built when parts of no...
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Integral proofs September 29th 2008, 10:28 AM #1 Junior Member Joined Sep 2008 Posts 73 Integral proofs Actually I have 2 questions? 1) Prove that the integral of (df/dx) from a to be is equal to f(b) - f(a) using the definition of Riemann Integration and the definition of derivative. I tried u...
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Number of integer combinations x_1 < ... < x_n ? up vote 4 down vote favorite 1 I asked this question earlier on math.stackexchange.com but didn't get an answer: Let $0 < a_1 < ... < a_n$ be integers. Is there a closed formula (or some other result) for the number $N(a_1,...,a_n)$ of integer combinations $0 < x_...
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Graphing Quadratic Functions By T. Barron & S. Kastberg Lesson 6 ...
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integrals March 20th 2007, 05:56 AM #1 Newbie Joined Mar 2007 Posts 4 integrals Hello! I've got some really tough question and I could use some help with it. calculate the result and choose the closest answer to these given answers The answers are: A -450.3091514312 B 450.3091514312...
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solved algebracially arcsinx-arccosx = 0 i know x is 45 but how to do algebraccly Check the problem. If sinx - cosx = 0 then x = 45 degrees. Now arcsinx+arccosx = π/2 arcsinx-arccosx = arcsinx+arccosx - 2arcosx = 0 π/2 -2arccosx = 0 Solve for x. Hello, aeroflix! Solve: . $\arcsin x-\arccos x \:=\: 0$ i know x is 45 ....
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Difference Between Variance and Covariance Variance vs Covariance Variance and covariance are two measures used in statistics. Variance is a measure of the scatter of the data, and covariance indicates the degree of change of two random variables together. Variance is rather an intuitive concept, but covariance is def...
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expfit PURPOSE % USAGE [alpha,c,rms] = expfit( deg, x1, h, y ) SYNOPSIS function [a,c,rms] = expfit(deg,x1,h,y) DESCRIPTION % USAGE [alpha,c,rms] = expfit( deg, x1, h, y ) % % Prony's method for non-linear exponential fitting % % Fit function: \sum_1^{deg} c(i)*exp(alpha(i)*x) % % Elements of data vector...
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Vectors and planes May 26th 2008, 08:57 AM #1 Junior Member Joined May 2008 Posts 27 Vectors and planes Please help. A ray of light coming from the point (-1, 3, 2) is travelling in the directionof the vector 4i + j -2k and meets the plane x + 3y + 2z - 24= 0. Find the angle that the ray of light mak...
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The Period of 61/97 Date: 01/12/2001 at 08:46:22 From: Celia Subject: period of 61/97 I need to know the period of 61/97 (if there is one). I've calculated it to the 31st decimal place, but can't tell if it is a finite or infinite and periodic... Is there any way I can figure it out? Thank you! Celia Date: 01/12/...
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Volume of intersection of a convex polytope with an affine space. up vote 1 down vote favorite Given an $n$-dimensional polytope $P\subset \mathbb{R}^n$. For a subset of indices $i_1,\ldots,i_k$ of $\{1,\ldots,n\}$ and reals $a_1,\ldots,a_k$, we denote by $P(x_{i_1}=a_{1},\ldots,x_{i_k}=a_{k})$ the set of point of th...
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WebDiarios de Motocicleta We all know the number guessing game. I think of an integer between 1 and n, and you try to guess it by comparison queries, "is it larger than x?". Binary search takes ceiling(log[2] n) queries, which is of course optimal. But what if I think of a rational number a/b , with 0<a<b<n? Can you s...
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Co-ordinate Geometery urgent help needed January 7th 2009, 03:44 PM #1 Member Joined Oct 2008 Posts 157 Co-ordinate Geometery urgent help needed A, B, C and D are (-7,4), (3,-1), (6,1) and (k,-15) respectively. 1] Find the gradient of AB 2] Find the equation of AB and simplify the answer 3] ...
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Homework Help Posted by Anonymous on Sunday, December 30, 2012 at 8:38pm. A car goes at 40 miles per hour and returns at the same route at 30 miles per hour. What is the total distance if the time is 1 hour? My answer 17 and 3/7 • Math.. - Reiny, Sunday, December 30, 2012 at 10:53pm let the time for first tr...
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help me with differential equation October 24th 2008, 02:00 PM #1 help me with differential equation hey all this is my first post and im sorry that i begin asking bt well ill try to help too whenever i can... this is about second grade differential equations... consider the equation $xy''-(x+N)y'+...
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comprehensive factorization In Cat there is a factorization system $(E,M)$ where $E$ is the class of initial functors and $M$ is the class of discrete opfibrations; see • Street, Walters, The comprehensive factorization of a functor. Bull. Amer. Math. Soc. 79, 1973. We can construct an analogous factorization syste...
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ge Linear algebra Vector spaces The VectorSpace command creates a vector space class, from which one can create a subspace. Note the basis computed by Sage is “row reduced”. sage: V = VectorSpace(GF(2),8) sage: S = V.subspace([V([1,1,0,0,0,0,0,0]),V([1,0,0,0,0,1,1,0])]) sage: S.basis() [ (1, 0, 0, 0, 0, 1, 1, 0), (0...
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The Transformation y = f(bx) - Concept Brightstorm is like having a personal tutor for every subject See what all the buzz is about Check it out The Transformation y = f(bx) - Concept 8,041 views There are different types of math transformation, one of which is the type y = f(bx). This type of math transformation i...
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Power evaluation of disease clustering tests Abstract Background Many different test statistics have been proposed to test for spatial clustering. Some of these statistics have been widely used in various applications. In this paper, we use an existing collection of 1,220,000 simulated benchmark data, generated under...
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Poincaré duality for smooth projective varieties over finite fields up vote 0 down vote favorite What is exacly the statement of Poincaré duality for smooth projective varieties over finite fields and twisted constant $\mathbf{Z}_\ell$ sheaves? Where can I find a proof? By twisted constant $\mathbf{Z}_\ell$ sheaf, I ...
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Another word problem that's stumping me May 29th 2010, 12:58 PM cherryperry Another word problem that's stumping me This is yet another example of a problem on the sample NC EOG test (7th grade). A rectangular piece of land will be divided diagonally into two congruent triangular sections. One section will ...
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Rearranging an algebraic equation Having some difficulty making q the subject: ((a-c)/b(2+vj)-(q/2+vj) = ((a-c)/b)-q(2+vi) Any help would be appreciated. Separate everything involving q from every thing NOT involving q: [(a-c)/(b(2+vj))]- q/2- [vj]= [(a- c)/b]- (2+vi)q Get everything involving q on the left side, ever...
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findings mean, SD and approximate distribution June 30th 2009, 06:03 AM #1 Newbie Joined Jun 2009 Posts 18 findings mean, SD and approximate distribution Let X1,X2,....,X81 be a random sample from a distribution (not necessarily normal) with mean $\mu=59$ and SD $\sigma=8$. Let $\bar{X}=\frac{1}{81}\Sigm...
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Real number In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2.4871773339.... The real numbers include rational numbers, such as 42 and −23/129, and irrational numbers, such as π and the square root of 2, and can be represented as ...
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Math Forum Discussions Math Forum Ask Dr. Math Discussions Internet Newsletter MathTools Teacher2Teacher Teacher Exchange Workshops Search All of the Math Forum: Views expressed in these public forums are not endorsed by Drexel University or The Math Forum. Topic: sum of csc Replies: 0 stainburg sum ...
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[SciPy-Dev] stats.distributions.py documentation Ralf Gommers ralf.gommers@gmail.... Fri Sep 21 14:27:14 CDT 2012 On Sun, Sep 16, 2012 at 11:10 PM, nicky van foreest <vanforeest@gmail.com>wrote: > Hi, > > Below are two proposals to handle the documentation of the scipy > distributions. > > The first is to add a set ...
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On internal functions and arrows in a Topos up vote 6 down vote favorite 1 I am not an expert on elementary topos (meaning by this to work with the internal language in a Grothendiek topos) and I rather be told than struggle with the following: Consider an elementary topos $\mathcal{E}$, a locale $G$, the unique loca...
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Posts from February 2011 on ISourceCode Make the frequent cases fast and the rare case correct Monthly Archives: February 2011 Posted by on February 28, 2011 In mathematics, the Fibonacci numbers are the numbers in the following integer sequence: the sequence Fn of Fibonacci numbers is defined by the recurrence rel...
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I Introduction To be able to perform arithmetic, you must first be familiar with numbers. Therefore, although we give a few helping examples, this article is not about binary numerals. The main interactive circuit at the top of this page is an arithmetic circuit capable of performing both addition and subtraction on...
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Equation for parallel and perpendicular lines August 8th 2009, 12:15 PM #1 Junior Member Joined Jan 2009 Posts 26 Equation for parallel and perpendicular lines Need some help with this one. Let L represent the line y = (-4/3)x + 2. Write an equation for the line through p(9,-7) that is parallel to L...
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Higher order functional boundary value problems without monotone assumptions Abstract In this paper, given a -Carathéodory function, it is considered the functional higher order equation together with the nonlinear functional boundary conditions, for Here, , , are continuous functions. It will be proved an exi...
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[SciPy-User] Troubles with odeint or ode Anne Archibald peridot.faceted@gmail.... Tue Nov 3 13:28:09 CST 2009 2009/11/3 ANDREA ARMAROLI <rmrndr@unife.it>: > Dear users, > > I'm trying to solve an ODE system that models a parametric oscillator with > complex amplitudes at two freqencies. > > I'm new to python. This pr...
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Related Rates Word Problem with Derivation October 7th 2009, 07:34 PM Maziana Related Rates Word Problem with Derivation I keep getting the wrong answer to this related rate problem, so I would greatly appreciate it if someone could go over my work and tell me where I messed up and why. I'm not sure if I made a ...
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Inequalities on a Number Line Date: 05/07/2003 at 21:46:02 From: Gayle Subject: How do you graph inequalities on a number line? Will you please give me an example how to graph an inequality on a number line? all real numbers less then 2 all real numbers greater then -3 all real numbers less then or equal to -1...
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Integration using given substitution difficulty. February 10th 2013, 10:46 AM Furyan Integration using given substitution difficulty. Hello again, Just when I think I'm getting it I realize I'm really not. I have no idea how to approach this question, I have a bunch like this to do and would really app...
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Probability in Flipping Coins Date: 2/25/96 at 19:16:27 From: Dana Kaye Subject: Probability Question I am looking for some help with a couple of probability questions. On Friday we had a substitute teacher who explained probability to us and gave us some questions. Since we share textbooks at school we can't take ...
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Minimizing the expected value of a density function November 16th 2010, 08:40 PM Zennie Minimizing the expected value of a density function Let X be a continuous random variable with probability density function f(x). Determine the value of y for which E(|X - y|) is minimum. Not sure where to even begin. An...
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The Mechanical Vivarium of Dr. Iguana Easy Flat-Pack Fresnel Reflector Fresnel reflectors consist of concentric mirrored rings. Each ring is tilted inward by a precise angle. Any light falling on the ring from above is reflected toward a central focal point. The angle of the tilt needs to be quite precise and this mak...
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rational equations Determine the point of intersection of the following two rational functions, algebraically. r(x)= $x/(3x^2+3)$ s(x)= $1/(2x^2-8)$ Thank you The point of intersection is going to be defined by $r(x) = s(x)$ for some values of x. So: $\frac{x}{3x^2 + 3} = \frac{1}{2x^2 - 8}$ Cross multiply (or, more p...
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[SOLVED] Twist on Work Rate Problem March 19th 2007, 07:41 PM Paul B [SOLVED] Twist on Work Rate Problem I am trying to show my students a different slant on a work rate problem and I want to make sure I show them the best method. Working together, Nina and Lauren can mow the lawn in 2 hours. It takes Nina ...
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Math - Intersection of planes Posted by Shaila on Wednesday, September 1, 2010 at 3:08am. Find the vector equation of the line of intersection for the pair of planes. Plane one: x+5y-3z-8=0 Plane two: y+2z-4=0 I did half of the work but now i am stuck. the normal of the planes are not parallel and therefore a solu...
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Probability Problems... October 25th 2009, 08:57 AM #1 Newbie Joined Oct 2009 Posts 2 Probability Problems... Suppose we are interested in the condition of a machine that produces a particular item. Let A designate the event "the machine is in good working condition". Let B be the event "the machine is ...
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Tetrachoric and Polychoric Correlation Coefficients Introduction to the Tetrachoric and Polychoric Correlation Coefficients John S. Uebersax Go to Agreement Stati...
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Schreiber Contents This text is a first introduction to homological algebra, assuming only very basic prerequisites. For instance we do recall in some detail basic definitions and constructions in the theory of abelian groups and modules, though of course a prior familiarity with these ingredients will be helpful. Als...
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Freezer Roulette Date: 07/26/2002 at 11:14:26 From: Kev Subject: Probability or logic? Two people are trapped in a small freezer that is gradually getting colder and colder. There are four walls, each with a small button in the centre. Each person can reach only one button, allowing either one or two buttons to be p...
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How many edge-disjoint paths go from upper left to lower right in a $4 \times N$ rectangular gridwork of streets? up vote 9 down vote favorite 2 Background/Motivation My interest in this problem traces back to an 11 year old girl who really took to one-way path counting problems. After doing several configurations of...
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Factoring Polynomials (need HELP!!!) Posted by Emily on Wednesday, January 10, 2007 at 11:24pm. Ok, this is pretty long, so bear with me. The problem says: The diagram (not shown here, sorry) shows a cube of metal with a cylinder cut out of it. The formula for the volume of a cylinder is V=pi*r^2*h, where r is the r...
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Galois Theory: Infinite Galois Theory So far I’ve only discussed finite Galois theory, that is the Galois theory of finite extensions. But there’s also an infinite theory; the extensions it studies are separable and normal, just like finite Galois extensions, but the fundamental theorem needs to be modified to apply. ...
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Roots and the Bisection Method Date: 08/01/98 at 21:27:12 From: JCG Subject: Polynomials What is the Bisectional Method? How would I solve 2x^3+x^2+5x+2 = 0 or any other polynomial? Can the method be used by something greater than the 3rd degree? Date: 08/05/98 at 14:30:39 From: Doctor Benway Subject: Re: Polynomi...
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The Science of Restoring and Balancing – The Science of Algebra Muslim contributions in the field of mathematics have been both varied and far reaching. This article by Mahbub Ghani (from the Department of Electronic Engineering at King's College, London University) considers some Muslim contributions in algebra, focus...
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More Differential Eqns May 4th 2009, 06:47 PM #1 Newbie Joined May 2009 Posts 16 More Differential Eqns Let v(t) be the velocity, in feet per second, of a skydiver at time t seconds, t>0. After her parachute opens, her velocity satisfies the differential eqn dv/dt = -2v-32, with initial conditi...
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"Mathematical Logic" by Cori and Lascar: Incomplete proof of Lemma 1.9? June 3rd 2011, 06:43 AM omoplata "Mathematical Logic" by Cori and Lascar: Incomplete proof of Lemma 1.9? I have a question on the book "Mathematical Logic: Propositional calculus, Boolean Algebras, predicate calculus" by Rene Cori and Daniel...
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Smaller vs. Larger Exponents and Numbers Date: 03/24/2003 at 12:54:07 From: Toni Subject: Numbers and exponents Is a smaller number with a large exponent greater than a larger number with a smaller exponent? Using the numbers 1,2,3,4 what is the largest number you could make? I'm thinking of 2^431 or 21^43. Date: ...
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GCD Multiplicative Property May 3rd 2009, 03:38 PM #1 Junior Member Joined May 2009 Posts 36 GCD Multiplicative Property i'm reading Introduction to Analytic Number Theory, Tom M. Apostol and i have a doubt about an exercise in chapter 1. Follow the exercise: Prove the following multiplicative prope...
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Math help - square roots? December 10th 2009, 04:35 AM #1 Newbie Joined Dec 2009 From Eastern Coast Posts 1 Math help - square roots? Hi! I'm having some trouble with square roots - I understand the square root of numbers like 49 (7), 9 (3) and all, though I'm very confused with finding the ...
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Order of Operations for Solving Equations Associated Topics || Dr. Math Home || Search Dr. Math Order of Operations for Solving Equations ...
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Domain and Range of Rational Functions Top In a rational function, the domain of function f (t) is basically the set of values, where by putting the values of ‘t’ in function, f(t) is always real. The range of function f (t) is basically a set of values, where the function f(t) takes, when the variable ‘t’ takes value...
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polar coordinate Find the area of the region inside: $r = 8 \sin \theta$ but outside $r = 4$ First find the points of intersection. So $8 \sin \theta = 4, \ \sin \theta = \frac{1}{2}$ or $\theta = \frac{\pi}{6}, \ \frac{5 \pi}{6}$. So $A = \frac{1}{2} \int_{\frac{\pi}{6}}^{\frac{5 \pi}{6}} (8 \sin \theta)^2 \ d \theta...
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Find the volume of the solid. December 12th 2010, 07:25 PM dmbocci Find the volume of the solid. I'm stuck on this problem. The answer is probably obvious, but I second guess myself a lot. Find the volume of the solid below z=sqrt((x-y)(x+4y)), above the parallelogram in the x-y plane with vertices (0,0)(1,...
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Maxima and Minima of Functions of Two Variables Locate relative maxima, minima and saddle points of functions of two variables. Several examples with detailed solutions are presented. 3-Dimensional graphs of functions are shown to confirm the existence of these points. More on Optimization Problems with Functions of Tw...
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construct a power series with infinitely many zeros in the complex plane, bounded coefficients??? up vote 0 down vote favorite Hi all. I want to construct a power series $F(z)=\sum_{n=0}^\infty c_nz^n$ centered at zero and with finite radius of convergence in the complex plane, and which has infinitely many zeros (in...
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Model with First Order Differential Equation May 31st 2011, 08:48 AM #1 Junior Member Joined Jul 2008 Posts 74 Model with First Order Differential Equation Dear all, I'm having some trouble with the following question involving modelling with a first-order differential equation. My solution is below...
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Pulsar Pulsar Properties For additional information about pulsars, see the books Pulsar Astronomy by Andrew Lyne and Francis Graham-Smith and Handbook of Pulsar Astronomy by Duncan Lorimer and Michael Kramer. Known radio pulsars appear to emit short pulses of radio radiation with pulse periods between 1.4 ms and 8.5...
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Murder Mystery: A Project for Logarithms [Note added on 2-7-14: This is one of my most-read posts. If it helps you design a good project for your class, that's great. Please do not use it as is. Make adjustments for the age of your students (mine are in college), and fill in the details where I've put notes in brackets...
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