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On the stable rank and reducibility in algebras of real symmetric functions Rupp, R. and Sasane, Amol (2010) On the stable rank and reducibility in algebras of real symmetric functions. Mathematische Nachrichten, 283 (8). pp. 1194-1206. ISSN 0025-584X Full text not available from this repository. Let Aℝ([MATHEMATICAL D...
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RE: st: adding info to bar graph [Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index] RE: st: adding info to bar graph From "Buzz Burhans" <buzzb3@verizon.net> To <statalist@hsphsun2.harvard.edu> Subject RE: st: adding info to bar graph Date Wed, 09 Apr 2008 14:38:22 -0400 Thanks for yo...
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Worms results My results on Paterson's Worms: Verified results of Benjamin Chaffin: Pattern 1420224 terminates at 16,811,365,528. Pattern 1450224 terminates at 16,811,365,528. Pattern 2014142 terminates at 3,563,608,205. Pattern 2145142 terminates at 87,996,218. Pattern 2454142 terminates at 3,563,608,205. My new resul...
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How is the Mass and Volume of Matter Measured? Today our young scientists participated in a science lab to answer the essential question, How can mass and volume be measured? To get started, students had to make a hypothesis about which has more mass a crayon or a pencil. Then, using a pan balance with gram weights, th...
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Calculating Square Root Calculate the square root of a number without using any library function . Here's my code: import java.io.*; class squareRoot public static void main(String args[])throws IOException BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); System....
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[FOM] PA Incompleteness Harvey Friedman friedman at math.ohio-state.edu Fri Oct 19 14:45:18 EDT 2007 On 10/19/07 7:43 AM, "Arnon Avron" <aa at tau.ac.il> wrote: > On Sun, Oct 14, 2007 at 10:02:58AM -0400, Harvey Friedman wrote: >> Why should we care about "normal" mathematicians? Mathematics is a subject >> with some s...
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Flipping Hilbert series of semigroup rings up vote 8 down vote favorite I'll first give intuition, and then give a precise statement. For $|z|<1$, we have $\sum_{i \geq 0} z^i = 1/(1-z)$. For $|z|>1$, we have $\sum_{i<0} (-1) z^i=1/(1-z)$. Thus, the two functions $\phi(i) = \begin{cases} 1 \quad i \geq 0 \\ 0 \quad i<0...
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Inverse DFT using the FFT algorithm Inverse DFT using the FFT algorithm Assignment Help Fast Fourier transform - Inverse DFT using the FFT algorithm Inverse DFT using the FFT algorithm The inverse DFT of the N-point sequence {X(k), k = 1, 2, ... , (N-1)} can be defined as The right hand side of above equation is simply...
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using calculus to solve the problem of the ant in a cube-shaped room May 31st 2010, 06:17 AM #1 May 2010 using calculus to solve the problem of the ant in a cube-shaped room There's a room in the shape of a cube with a side length of 7m. There's also an ant, located at one corner of the cube (call it point A), ...
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Montgomery, IL Trigonometry Tutor Find a Montgomery, IL Trigonometry Tutor ...I believe that students are able to learn anything with the right instruction and I know my passion for science and math will contribute greatly to this process. I strive to find creative ways to make subject matter interesting and relata...
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Burbank, CA Calculus Tutor Find a Burbank, CA Calculus Tutor ...What I do: *Complete SAT preparation (standard prep runs 10-15 sessions, and is also excellent practice for improving college level study habits) *Mentoring in all levels of Math from the basics through Calculus (Math is a skill that can be developed, ...
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224 search hits Large-scale parallelized learning of nonlinear sparse coding models (2013) Jörg Bornschein The human brain is an unparalleled system: Through millions of years of evolution and during a lifespan of learning, our brains have developed remarkable abilities for dealing with incoming sensory data, e...
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Melissa Algebra Tutor Find a Melissa Algebra Tutor ...I have also received two certifications from the American Society of Quality in 2010. The first certificate was a Certified Manager of Quality / Operations Excellence and the second was a Certified Six Sigma Black Belt. I taught for eight years at Wayne State Un...
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Relation between Tate's thesis and Class Field Theory up vote 8 down vote favorite Class Field Theory states the correspondence between abelian extensions of k and congruence divisor class. In idelic language, there is a surjective map from $J_k/k^*$ to $Gal(k^{ab}/k)$ with its kernel unkonwn. Tate's Thesis proved some...
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This module implements the Knuth-Morris-Pratt algorithm. It can search a word in a text in O(m+n) time, where m and n are the length of the word and the text. This module can apply on any list of instance of Eq. Donald Knuth; James H. Morris, Jr, Vaughan Pratt (1977). Fast pattern matching in strings. SIAM Journal on C...
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Burbank, CA Calculus Tutor Find a Burbank, CA Calculus Tutor ...What I do: *Complete SAT preparation (standard prep runs 10-15 sessions, and is also excellent practice for improving college level study habits) *Mentoring in all levels of Math from the basics through Calculus (Math is a skill that can be developed, ...
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Abstracts for S. Shankar Sastry The EECS Research Summary for 2003 Kalman Filter in Lossy Networks Bruno Sinopoli and Luca Schenato (Professors S. Shankar Sastry and Michael I. Jordan) We are considering the problem of evaluating the performance of Kalman filtering techniques on a sensor network. Communication delay an...
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vampirism is mathematically impossible (essay) Proposition: If one vampire were to appear on Earth, humanity would go extinct too fast for a stable equilibrium to develop. Assumption 1: Each vampire must drain the blood of one human every 24 hours. Assumption 2: A human who has had their blood sucked by a vampire will ...
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Soft Rough Approximation Operators and Related Results Journal of Applied Mathematics Volume 2013 (2013), Article ID 241485, 15 pages Research Article Soft Rough Approximation Operators and Related Results ^1School of Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, China ^2School of Information ...
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The Stata Blog - Not Elsewhere Classified Have you every wanted to make an “easy” calculation–say, after fitting a model–and gotten lost because you just weren’t sure where to find the degrees of freedom of the residual or the standard error of the coefficient? Have you ever been in the midst of constructing an “easy” ...
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Graphing Tools: Vertical and Horizontal Scaling There are things that you can DO to an equation of the form $\,y=f(x)\,$ that will change the graph in a variety of ways. For example, you can move the graph up or down, left or right, reflect about the $\,x\,$ or $\,y\,$ axes, stretch or shrink vertically or horizontally...
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This is a comprehensive catalog of quantum algorithms. If you notice any errors or omissions, please email me at acknowledged. Algebraic and Number Theoretic Algorithms Given an -bit integer, find the prime factorization. The quantum algorithm of Peter Shor solves this in poly( ) time [ ]. The fastest known classical a...
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Basic Arithmetic and Surds March 6th 2013, 08:31 PM Basic Arithmetic and Surds Express (2root5 - 3root10)^2 in the form a+broot2 and hence find the values of a and b. If you can please help and explain the method and how to solve equations similar to this. :) Thanks March 6th 2013, 09:47 PM Re: Basic Arithmetic and...
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Decision Modeling and Optimization in Game Design, Part 2: Optimization Basics and Unrolling a Simulation This article is the second in a continuing series on the use of decision modeling and optimization techniques for game design. The full list of articles includes: The spreadsheet for this article can be downloaded ...
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Function Table Function Tables A function is a rule which maps each element of the domain to exactly one element in the range. A function can be described by many ways like with a mapping diagram, by a set of ordered pairs, by an equation, with function notation or with a function table. Each of this method is used dep...
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physics problem August 9th 2007, 02:00 PM #1 Jun 2007 physics problem To get off a frozen, frictionless lake, a 70.0 kg person takes off a 0.150 kg shoe and throws it horizontally, directly away from the shore with a speed of 2.00 m/s. If the person is 5.00 m from the shore, how long does it take for him to...
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Data reduction and error analysis for the physical sciences The purpose of this book is to provide an introduction to the concepts of statistical analysis of data for students at the undergraduate and graduate level, and to provide tools for data reduction and error analysis commonly required in the physical sciences...
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Orders of Number Fields up vote 4 down vote favorite Let $K$ be a number field over $\mathbb{Q}$ of degree $n$, and $\mathcal{O} \subset \mathcal{O}_K$ an order. $\textbf{Questions:}$ $\newcommand{\Spec}{\textrm{Spec }}$ $\newcommand{\cO}{\mathcal{O}}$ 1.) Is the natural map $\phi: \Spec \mathcal{O}_K \rightarrow \Spec...
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Got Homework? Connect with other students for help. It's a free community. • across MIT Grad Student Online now • laura* Helped 1,000 students Online now • Hero College Math Guru Online now Here's the question you clicked on: MEDALS WILL BE GIVEN!!!!! all of the following approaches can ...
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Heat Kernel and Analysis on Manifolds The heat equation is magic. It is a staple of any introductory course in partial differential equations, for instance the ubiquitous course on “methods of applied mathematics” taught in possibly every mathematics department in the world — or nearly so. The heat equation serves as a...
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Convert metro to yard - Conversion of Measurement Units ›› Convert metro to yard ›› More information from the unit converter How many metro in 1 yard? The answer is 0.9144. We assume you are converting between metro and yard. You can view more details on each measurement unit: metro or yard The SI base unit for length ...
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Neils Bohr, one of the fathers of quantum mechanics, said long ago, “those who are not shocked when they first come across quantum theory cannot possibly have understood it.” And we could say a similar thing about special relativity theory, because Einstein has taken matter out of the physics and reduced the separation...
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Choosing & using 'Storm Clouds: Fly over a Late Winter Storm onboard a NASA Earth Observing Satellite' • : □ 5-8: ☆ A - Science as inquiry: ○ Abilities necessary to do scientific inquiry ○ Understanding about scientific inquiry ☆ D - Earth and space science: ...
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doctrinal adjunction 2-Category theory Transfors between 2-categories Morphisms in 2-categories Structures in 2-categories Limits in 2-categories Structures on 2-categories Higher algebra Algebraic theories Algebras and modules Higher algebras Model category presentations Geometry on formal duals of algebras Doctrinal ...
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the first resource for mathematics Aggregation and linearity in the provision of intertemporal incentives. (English) Zbl 0608.90001 Summary: We consider the problem of providing incentives over time for an agent with constant absolute risk aversion. The optimal compensation scheme is found to be a linear function of a ...
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Algebra T Hello Readers! Improve your test grades with these 4 simple algebra tips!! These 4 very simple tricks and tips can help you avoid those stupid mistakes that we all make on tests. You know, the small errors that throw off your answers and take your A and turn it into a C? Well I have the solution! If you take ...
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Kinetic Theory of Gases CAcT HomePage Kinetic Theory of Gases Skills to develop • Correlate energy to motion of gas molecules. • Correlate temperature to kinetic energy of gas molecules. • Interpret pressure in terms of gas mo...
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find formula for inverse: f,g,h invertible, f(x)=g(h(x)) Suppose f, g, and h are invertible and that f(x)=g(h(x)) I need to find a formula for f^-1(x) in trems of g^-1 and h^-1 so, I was thinking that inverse of f(x) would be h(g(x)), but when it asks for g^-1 and h^-1, there's a step I'm missing. How do I look for g^-...
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The Tricky Thing About Simulated DynamicsThe Tricky Thing About Simulated Dynamics The Tricky Thing About Simulated Dynamics Chad Orzel on January 22, 2014 In the previous post about simulating the attraction between sticky tapes using VPython, I ended with a teaser mentioning that there was a discrepancy between the s...
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double integral in vector calculus June 21st 2008, 04:03 AM #1 Senior Member Jul 2006 Shabu City double integral in vector calculus A field is given G = $\frac{25}{x^2+y^2}(x\hat{a}_x + y\hat{a}_y)$ a.) unit vector in the direction G at (3,4,-2) already answered : by substitution 3a_x + 4a_y...
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Relational) Programming laws in the Boom hierarchy of types - Formal Program Development, volume 755 of Lecture Notes in Computer Science , 1993 "... The "Boom hierarchy" is a hierarchy of types that begins at the level of trees and includes lists, bags and sets. This hierarchy forms the basis for the calculus of total...
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Games: Magic Gopher Forum: Games Replies: 10, Views: 123 Author Content faeden This is really freaky! I didn't even write my number down in case this little critter was cheating by peeking! I haven't a clue how this is d...
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Inverse Functions in Real Life Date: 01/25/2002 at 10:08:33 From: Denise Subject: Inverse functions I would like to know if you have a good example of how inverse functions would be used in real life. I am teaching my students this concept and the book I am using does not really include any Thanks so much. Date: 01/25/...
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Gibbs' Phase Rule I'm not really sure what you're asking but I'll take a crack at answering you since nobody else seems to be :) The Gibbs phase rule can't really tell you what phases will be thermodynamically favorable in what proportions for a given system. You need a phase diagram to do that, but phase diagrams have...
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tree-equal tree-1 tree-2 &key test test-not generalized-boolean Arguments and Values: tree-1 - a tree. tree-2 - a tree. test - a designator for a function of two arguments that returns a generalized boolean. test-not - a designator for a function of two arguments that returns a generalized boolean. ...
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Dirac's Quantum Theory of Magnetic Monopoles Dirac’s Quantum Theory of Magnetic Monopoles Paul Dirac (1902 Aug 08 – 1984 Oct 20) titled his 1931 paper "Quantised Singularities in the Electromagnetic Field" and in it examined what the still-new...
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[Numpy-discussion] Precision difference between dot and sum Robert Kern robert.kern@gmail.... Mon Nov 1 20:49:08 CDT 2010 On Mon, Nov 1, 2010 at 20:21, Charles R Harris <charlesr.harris@gmail.com> wrote: > On Mon, Nov 1, 2010 at 5:30 PM, Joon <groups.and.lists@gmail.com> wrote: >> Hi, >> I just found that using dot ins...
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GLOBTEST performs different global tests. A global test provides one function [p] = globtest(Input,n1,samp,varargin) GLOBTEST performs different global tests. A global test provides one joint statement on all endpoints, i.e. the global hypotheses is testing. This function returns the corresponding p-value. These inp...
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Probability and Statistics Nothing Really Scatters Quiz Think You Got it Down? Test your knowledge again: Probability and Statistics: Nothing Really Scatters Quiz Think you’ve got your head wrapped around Probability and Statistics? Put your knowledge to the test. Good luck — the Stickman is counting on you! Q. Which e...
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Geometrical Applications of Calculus Question November 8th 2010, 10:42 PM #1 Nov 2010 Geometrical Applications of Calculus Question Could someone help me with this question? Grant is at point A on one side of a 20m wide river and needs to get to point B on the other side 80m along the bank as shown: |||...
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DBs and Mages If you have a 20 dex mage, count on being double hit every round vs most decent tanks. The DB's are effective in stopping triple hits which can be very worthwhile if you have lots of hp on your And if they are very high DB's, with the new changes, they can decrease the doubles. The two dex based attacks p...
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Origin Italy Alternative name(s) Skopa Type Fishing Players 2, 4, or 6 Cards 40-card Deck Italian Play counter-clockwise Card rank (highest to lowest) R C F 7 6 5 4 3 2 1...
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Induction Proof with Inequalities Date: 07/03/2001 at 10:37:21 From: Jay Krueger Subject: Math Induction I've been trying to solve a problem and just really don't know if my solution is correct. I have a really hard time doing these induction problems when inequalities are involved. I was hoping you could help me solve...
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[FOM] Re: The Myth of Hypercomputation JoeShipman@aol.com JoeShipman at aol.com Tue Feb 10 14:35:25 EST 2004 I like the distinction drawn here between functions which are violations of some form of CT because somehow an infinite amount of computational work is done, and those which violate CT and involve only a finite ...
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Pass Efficiency Differential Margin (PEDM) One statistic which is effective for predicting outcomes is the pass efficiency differential margin (PEDM). This metric is obtained by taking the difference between the offensive and defensive pass efficiency ratings for a team. Pass efficiency (PE) is a measure of a team's p...
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Inverse Kinematics I've been designing a simple 4DOF robot arm similar to this ( ) except without the rotating base. The length of the two segments is 17cm. By supplying an (x,y) coordinate, the following equations will determine the angle of the base servo and the "elbow" servo so that the end of the second segment is...
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IEEE 754 vs Fortran arithmetic John Roberts <robertsj@admin.ogi.edu> Mon, 22 Oct 90 23:28:24 -0700 From comp.compilers | List of all articles for this mon...
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Mplus Discussion >> Categorical Outcomes Anonymous posted on Friday, January 07, 2000 - 12:20 pm Some multilevel packages have begun to include methods for multilevel models with binary and other categorical outcomes. Does MPLUS plan to develop procedures for multilevel models with categorical outcomes? If yes, when mi...
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Naked Candidates • Main Page Print Version Solvers Naked Candidates 'Naked' in thi...
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Help with calculating distance using tan, sin and cos please? May 26th 2010, 12:41 PM #1 May 2010 Hi, I am having problems with this question! I would be so grateful for some help!! Question: The ship's captain located a light at an angle of elevation of 35º. The light rests atop a 40-foot lighthous. Find t...
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Discontinuity and inequalities. Question 1D-5: Define $f(x)\, =\, \begin{cases}ax\, +\, b,&x\, \ge\, 1\\x^2&x\, <\, 1\end{cases}$ a) Find all values of $a$ and $b$ such that $f(x)$ is continuous. b) Find all values of $a$ and $b$ such that $f'(x)$ is continuous. (Be careful!) Solution 1D-5: a) For continuity, we want $...
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Posts by Total # Posts: 68 5. Suppose a manufacturer of computer chips is experiencing an average of 2% defective chips. (a) If a lot contains 1000 chips, what is the probability that more than 25 chips are defective? HINT. Use the normal approximation to the binomial. How do you use Treachery in a compound sentence u...
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Function Package: excl ToC DocOverview CGDoc RelNotes FAQ Index PermutedIndex Allegro CL version 8.2 Unrevised from 8.1 to 8.2. ...
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Posts from January 2013 on George Zarkadakis A major theoretical – as well as philosophical – problem in Artificial Intelligence is incomputability. Although there are many formal definitions of the concept of incomputability, it really boils down to this: there are many things that the human mind does which cannot be ...
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Stellar Nucleosynthesis Previous Next The 1983 Nobel Prize in Physics was shared by two astrophysicists, Subrahmanyan Chandrasekhar and William A. Fowler. This section concentrates on Fowler's nuclear astrophysics. Our primary ...
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Homework Help Posted by jasmine20 on Monday, December 4, 2006 at 11:49pm. how do you solve this type of math problems that indicates to perform the indicated operations for 3 and 3/4 divided by 1 and 3/8 convert the whole numbers into fractions. 3 3/4 = 15/4 1 3/8 = 11/8 to divide 15/4 by 11/8 invert the denominator an...
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Math Forum - Problems Library - Primary, Operations with Numbers - Multiplication This page: About Levels of Difficulty operations with numbers number theory algebraic thinking data analysis logical reasoning Browse all About the PoW Library The concept of multiplication is central to solving these problems, though...
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Basic Factorising September 21st 2009, 05:04 PM Basic Factorising Ok for some reason i can do the more complicated stuff but was never taught the simple stuff because our teacher assumed we would know. Anyone show me how to factorise out x²+5x & 3x²-60x Is it as simple as x(x+5) and 3x(x-60)? And what i...
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Find the number of extremum October 29th 2009, 05:39 PM Find the number of extremum Consider the function $f:R\rightarrow R$ $<br /> f(x)=(x-1)(x-2)^2(x-3)^3(x-4)^4(x-5)^5......(x-n)^n<br />$ Find the number of points at which the function has an extremum(i.e points of local maxima/minima). October 29th 200...
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Genetics and Molecular Biology Services on Demand Related links Print version ISSN 1415-4757 Genet. Mol. Biol. vol.28 no.3 São Paulo July/Sept. 2005 ...
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OT and Pivot Stickfigure Animator (NOW WITH TUTORIALS ON THE OP) This is a Pivot Stickfigure Animator thread for Off-topic. Post your Pivot Animations here! What is Pivot? Pivot is a simple animating software. There is no need to redraw your stick for every frame. You can visit the official Pivot website by clicking on...
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Got Homework? Connect with other students for help. It's a free community. • across MIT Grad Student Online now • laura* Helped 1,000 students Online now • Hero College Math Guru Online now Here's the question you clicked on: log base 3(1/9) = x What is x? Best Response You've al...
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Linear Interpolation FP1 Formula Re: Linear Interpolation FP1 Formula But there is another issue, whether she is attracted to me. I need to be more sure. Re: Linear Interpolation FP1 Formula In this case just take your time. Make her comfortable around you until you get the go ahead. In mathematics, you don't understan...
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a CW-complex homotopic to a manifold up vote 3 down vote favorite I'm reading a paper and here the authors say that a connected 4-manifold with zero rational top homology has a homotopy type of 3-dimensional CW-structure. I can't figure out how it can be done. at.algebraic-topology gt.geometric-topology 4 For this to ...
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"American Statistical Association" returned 206 hits Measurement of the year with great accuracy and building of the first comprehensive star chart with 850 stars and a luminosity, or brightness, scale; discovery of the precision of the equinoxes Mediaitems: Hipparchus biography, Hipparchus the Astronomer, Astronomy Ca...
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A Theory of Conditionals, volume 2 , 1990 "... Many systems that exhibit nonmonotonic behavior have been described and studied already in the literature. The general notion of nonmonotonic reasoning, though, has almost always been described only negatively, by the property it does not enjoy, i.e. monotonicity. We study...
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Category theory as an extension of Martin-Löf type theory - IN PROCEEDINGS OF THE JOINT CLICS-TYPES WORKSHOP ON CATEGORIES AND TYPE THEORY, GOTEBORG , 1998 "... ..." - In the Coq Proof Assistant”, Summer School on Logic of Computation , 1995 "... 1.1 An overview of the specification language Gallina.......................
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#!/usr/bin/env python """Run a Monte-Carlo options pricer in parallel.""" # Imports import sys import time from IPython.parallel import Client import numpy as np from mcpricer import price_options from matplotlib import pyplot as plt # Setup parameters for the run def ask_question(text, the_type, default): s = '%s ...
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Calculating the Mean, Standard Deviation, and Coefficient of Variation Suppose you want to calculate the mean, standard deviation, and coefficient of variation and you entered the data in an Excel spreadsheet as follows: -.10 in cell C1 +.27 in cell C2 -.25 in cell C3 +.35 in cell C4 -.10 in cell C5 +.48 in cell C6 -.1...
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Church-Rosser Theorem Church-Rosser Theorem <theory> A property of a reduction system that states that if an expression can be reduced by zero or more reduction steps to either expression M or expression N then there exists some other expression to which both M and N can be reduced. This implies that there is a uniqu...
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Got Homework? Connect with other students for help. It's a free community. • across MIT Grad Student Online now • laura* Helped 1,000 students Online now • Hero College Math Guru Online now Here's the question you clicked on: Describe how the graph of y= x^2 can be transformed to the gra...
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Multi-dimensional distribution From Encyclopedia of Mathematics multivariate distribution A probability distribution on the joint distribution of the real random variables distribution function — the function of the real variables As in the one-dimensional case, the most widespread multivariate distributions are the di...
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188 helpers are online right now 75% of questions are answered within 5 minutes. is replying to Can someone tell me what button the professor is hitting... • Teamwork 19 Teammate • Problem Solving 19 Hero • Engagement 19 Mad Hatter • You have blocked this person. • ✔ You're a fan Checking fan status... Thanks...
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Identifying projective representations using "gauge-invariant" traces tr[V_g V_h V_k ... ] up vote 3 down vote favorite A projective representation $V_g\in \mathrm{GL}_n(\mathbb{C})$ of a group $G$ is characterized by $V_gV_h=\omega(g,h)V_h$, where $\omega(g,h)\in\mathrm{U}(1)$ is a 2-cocycle. Changing the phase of eac...
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toString() method January 9th, 2010, 11:42 PM #1 Java kindergarten Join Date Mar 2009 Thanked 30 Times in 28 Posts public class Operations { private int number; public Operations(int num) { private void setTheNumber(int number) { this.number = number; public ...
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- Natural Computing , 2008 "... Abstract. A highly desired part of the synthetic biology toolbox is an embedded chemical microcontroller, capable of autonomously following a logic program specified by a set of instructions, and interacting with its cellular environment. Strategies for incorporating logic in aqueous che...
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Double Equations from Triangles in Squares Given the square [1234] in the figure below, is it possible for both of the inscribed right triangles [125] and [345] to have integer (or rational) edge lengths? Concordant Forms, where a proof is given that a large class of positive prime values of N are not A different...
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Sweedler coring Special and general types Special notions Algebraic theories Algebras and modules Higher algebras Model category presentations Geometry on formal duals of algebras $(\infty,1)$-Topos Theory Extra stuff, structure and property structures in a cohesive (∞,1)-topos A Sweedler coring is an algebraic structu...
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cs315 p. 151 Tree Rotation The basic idea upon which self-balancing trees are based is tree rotation. Rotations change the height of subtrees but do not affect the ordering of elements required for binary search trees. The tree on the left is converted to the tree on the right with a right rotation, or vice versa with...
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Instructional Materials in Mathematics Below are the CLN "Theme Pages" which focus on specific topics within Mathematics. CLN's theme pages are collections of useful Internet educational resources within a narrow curricular topic and contain links to two types of information. Students and teachers will find curricular ...
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