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Finite dimensional automorphic representations of a definite quaternion with prime discriminant and Hecke action up vote 8 down vote favorite 2 Before stating the questions that I have, which are very specific and probably not so interesting to someone who has never thought about these things, I need to introduce some...
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Units Mod N March 9th 2008, 07:45 AM #1 Units Mod N ive got the answer to this question, but it took a lot of time and was very tedious. i just want to know if there is a nice quick solution so when i hand in the worksheet it doesnt look a mess. the question is calculate 17^-1 in Z43 (integers mod 43) ...
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Homework Help Posted by Anita on Thursday, January 19, 2012 at 9:08pm. What value for function y=3cos(t-pi) + 2 gives an instantaneous rate of change of 0? a) 0 b) pi/2 c) pi/3 d) pi/4 • Math - wow, Thursday, January 19, 2012 at 9:14pm pi/3 • Math - Reiny, Thursday, January 19, 2012 at 11:17pm dy/d...
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Normal distribution question involving samples July 17th 2009, 11:11 PM #1 Newbie Joined Jul 2009 Posts 15 Normal distribution question involving samples Q: The mass of coffee in a randomly chosen jar sold by a certain company may be taken to have a normal distribution with mean 203g and standard deviati...
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[SOLVED] Finding the last two digits of a number raised to a large exponent August 2nd 2009, 10:04 AM diddledabble [SOLVED] Finding the last two digits of a number raised to a large exponent Okay so if you are given $7^{999}$ how would you figure out the last two digits of the munber using mod. August 2nd 2009,...
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Trig equations January 17th 2010, 02:17 PM #1 Junior Member Joined Jan 2010 Posts 25 Trig equations Hello all! I'm studying for a math cumulative on tuesday, and I've come across these problems that I cant solve. How do I solve this between 0 inclusive and 2 pi? Cos^2x + 2sinxcosx - sin^2 x = 0...
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Proof Filed under: Philosophy — Jonathan Lewis @ 5:56 pm BST Mar 30,2012 Here’s a wonderful lesson from Cary Millsap – be very careful if you ever want to sell him anything – that reminded me of a Powerpoint slide I had produced for a presentation a few years ago. It took me a little time to track it down but I final...
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Multiplying a Number by Itself Date: 02/27/2001 at 15:57:54 From: Justin Fleming Subject: Square roots You have adequately explained how you get a square root, and I understand that part of it. My question to you is so what? What does it mean to multiply a number by itself? I can understand the concept of adding or...
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Equilibrium Constants from Initial Concentrations Brightstorm is like having a personal tutor for every subject See what all the buzz is about Check it out Equilibrium Constants from Initial Concentrations 3,384 views Here are some tips and trick for calculating equilibrium concentrations from initial concentration...
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positive elements in tensor products up vote 8 down vote favorite 3 Let $A \otimes B$ be the algebraic tensor of two $C^{\ast}$ -algebras, and an element x in $A\otimes B$ is positive if $x=yy^{\ast}$. Then is it always possible to write x in the form $x=\sum a_i\ otimes b_i$, where $a_i$ and $b_i$ are positive elemen...
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Do all Dedekind domains have the "Riemann-Roch property"? up vote 3 down vote favorite Let $R$ be a Dedekind domain with fraction field $K$. Say that a Dedekind domain $R$ has the Riemann-Roch property if: for every nonzero prime ideal $\mathfrak{p}$ of $R$, there exists an element $f \in (\bigcap_{\mathfrak{q} \neq ...
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Prove that G acts transitively on normal subgroup orbits on nonempty finite set A November 17th 2011, 08:59 AM Amer Prove that G acts transitively on normal subgroup orbits on nonempty finite set A The Question is let $G$ acts transitively on a nonempty finite set A let H be normal subgroup of G,Let Orbits ...
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Analytical Mechanics MOTION OF A PARTICLE 113 But if TI and r2 denote the distances of the particles from the axis of rotation, and P the period of revolution, then Therefore -1 = ~2 ra2 r-i gives the ratio of the masses of the particles as well as those of the given bo...
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Renting versus Buying a Home Subject: Real Estate - Renting versus Buying a Home Last-Revised: 21 Nov 1995 Contributed-By: Jeff Mincy (mincy at rcn.com), Chris Lott (contact me) This note will explain one way to compare the monetary costs of renting vs. buying a home. It is strongly oriented towards the US system, t...
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Up a Lazy River COMPUTING SCIENCE Up a Lazy River Meandering through a classic theory of why rivers meander Around the Bend Leopold brought a distinctively quantitative and mathematical style to the study of rivers. For example, he formulated scaling laws that describe how the cross section of a natural channel cha...
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help me 04-14-2010 #1 Registered User Join Date Apr 2010 Posts 4 help me Magic Quadrant Magic Square is a square matrix n * n contains the numbers 1 to sqr (n) (each number only once), so that the total numbers of each line separately equals the sum of the numbers of each column; Ende and equal a...
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A comparison question for non-positively curved disks up vote 12 down vote favorite 1 Let $A$ and $B$ be two closed, 2-dimensional, non-positively-curved Riemannian disks (not necessarily with convex boundary). Suppose that their boundaries $\partial A$ and $\partial B$ have the same length, and identify $\partial A$ ...
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Differentiation April 18th 2010, 02:59 PM mike21 Differentiation need help differentiating (6e^2x-x)^3 also finding the first and second derivatives for f(x)=1-2x over e^x I used the general power rule to get -2(e^x)-e^x(1-2x) over (ex)^2, but I dont know if thats right and don't know where to go fr...
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Solutions of higher order linear equations September 26th 2013, 01:05 PM #1 Junior Member Joined Sep 2010 Posts 64 Solutions of higher order linear equations Hi, I am going through some solved problems, but I don't understand the answers very well... I would really appreciate it if someone could exp...
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How are the classifying space of $E_8$ and $K(\mathbb{Z},4)$ related? up vote 27 down vote favorite 10 I recently heard the following fact : Up to the $15$th skeleton, the classifying space $BE_8$ and $K(\mathbb{Z},4)$ are homotopy equivalent? I have two questions on this : (1) Is there any easy way to see this? Of...
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Fermat's Last Theorem in the cyclotomic integers. up vote 18 down vote favorite 5 Kummer proved that there are no non-trivial solutions to the Fermat equation FLT(n): $x^n + y^n = z^n$ with $n > 2$ natural and $x,y,z$ elements of a regular cyclotomic ring of integers $K$. I am looking for non-trivial solutions to the...
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Math Forum Discussions - Re: Could 0^0=0? Maybe! Date: Sep 26, 2013 10:54 AM Author: David C. Ullrich Subject: Re: Could 0^0=0? Maybe! On Wed, 25 Sep 2013 14:24:54 -0700 (PDT), Dan Christensen <Dan_Christensen@sympatico.ca> wrote: >As taught in high schools and many university courses, 0^0 is undefined. Does the phr...
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Complexity of an iterative method? up vote 0 down vote favorite Problem: I want to implement the Jacobi method. It is similar to a fix point method: Xn+1 = P Xn +Q if X* verify X=PX +Q then if Xn converge then it converge to X* let say I succeed in finding alpha <1 such that : ||PX|| < alpha * ||X|| (usually alp...
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Petri Net Programming (Part 2) Petri Net Programming (Part 2) guest post by David A. Tanzer An introduction to stochastic Petri nets In the previous article, I explored a simple computational model called Petri nets. They are used to model reaction networks, and have applications in a wide variety of fields, includ...
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Expected number of trials to cover certain probability mass for a probability density function? up vote 0 down vote favorite Suppose we have a univariate random variable $X\sim\mathcal{P}$ with probability density function $f(x):\mathbb{R}\to\mathbb{R}$, $\int_{-\infty}^{\infty}f(x) dx = 1$, we then draw $n$ samples $...
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Partial Fractions. April 12th 2010, 01:49 PM TheBerkeleyBoss Partial Fractions. I need to use partial fractions on this term: $<br /> \dfrac {1} {(s + 1)[(s-1)^2 +1]}<br />$ this term (note: it said $\omega eq 4)$: $<br /> \dfrac {s} {(s^2 + 4)(s^2 + \omega ^2)} + \dfrac {s} {(s^2 + \omega ^2)}<br...
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Posts from November 2010 on IR Thoughts Understanding Correlation 29 Monday Nov 2010 Posted in Data Mining, SEO Myths, Statistics and Mathematics I came across Professor R.J. Rummel page on Understanding Correlation. This is an old, but still relevant book-like Web page on how to interpret properly correlation co...
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IMO Answer Key SET B ntsexamination.blogspot.in Friday, December 21, 2012 Posted by yatish at 9:50 AM 3 comments: Sir Some Answers Are Wrong Which I Am Telling You In class 8 imo Question 19- There Is No Word That Can Be Formed From G,R,A And P.Hence Answer Should Be Option b) M Question 23- Minimum ...
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Homework Help Posted by The Boss on Tuesday, March 12, 2013 at 9:43am. Square ABCD and circle T have equal areas and share the same center O.The circle intersects side AB at points E and F.Given that EF=√(1600-400π),what is the radius of T ? • geometry - Steve, Tuesday, March 12, 2013 at 11:30am Hmmm. Let's se...
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Can you prove that hypergraphs with n-1 edges are partially 2 colorable? up vote 3 down vote favorite I can. But my proof uses a theorem (which I do not reveal yet to avoid influencing you) and it feels like an overkill, so I wonder if there is a simple proof. Now the problem. Suppose we have a hypergraph on n vertic...
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A variance component based multi-marker association test using family and unrelated data Abstract Background Incorporating family data in genetic association studies has become increasingly appreciated, especially for its potential value in testing rare variants. We introduce here a variance-component based associati...
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Math Help March 15th 2008, 09:45 PM #1 Banned Joined Feb 2008 Posts 24 Trig The displacement of a certain object is given as a function of the time $t$ (in seconds) by $s = sin \;t + cos\; 2t$. Find the smallest positive value of $t$ for which the displacement is zero. Is the answer $t = 90$ U...
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Lecture 11: Theory of General Second-order Linear Homogeneous ODEs y' and y''. So, q(x)*y equal zero. The linearity of the equation, that is, the form in which it appears is going to be the key idea today. Today is going to be theoretical, but some of the ideas in it are the most important in the course. So, I don't ha...
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A topic on series subjects. The Fibonacci Sequence. August 20th 2010, 05:34 AM #1 Newbie Joined Aug 2010 From Sibulan Posts 12 A topic on series subjects. The Fibonacci Sequence. Suppose the Fibonacci sequence is a geometric sequence (since the differences of the first few terms repeats the sequence)...
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Taqi al Din Ibn Ma’ruf 's Work on Extracting the Cord 2[sup]o[/sup] and Sin 1[sup]o[/sup] This article by Professor Sevim Tekeli, a leading historian of science in the Ottoman period, deals with an aspect of the work of Taqi al-Din Ibn Ma'ruf in trigonometry, a mathematical discipline which studies the relationships be...
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charlesflorian Projectivity (continued) So what does it mean for a variety to be projective? Well, that’s easy: A variety is projective if you can embed it in projective space. That’s easy, but that’s not particularly helpful. What are the benefits of being projective? Why is it something that we should care about? ...
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Comparison test for convergence/divergence January 9th 2012, 05:23 AM Shizaru Comparison test for convergence/divergence Ok so basically we are told about this comparison test which says if one series is greater or equal than another for all values, and converges, so does the second series. and if the first is l...
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need urgent help December 10th 2012, 05:01 PM flor need urgent help I need help with these, step by step solution PLEASE HELP 3-2/y 1/y+4 2x- x 2 - x 2-x x-1 - x+1 x+1 x-1 x-1 + x+1 x+1 x-1 December 10th 2012, 06:11 PM topsquark Re: need urgent help December 10th 2012, 0...
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Generalizations of "standard" calculus up vote 19 down vote favorite 10 We have the usual analogy between infinitesimal calculus (integrals and derivatives) and finite calculus (sums and forward differences), and also the generalization of infinitesimal calculus to fractional calculus (which allows for real and even c...
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DOCUMENTA MATHEMATICA, Extra Vol. ICM III (1998), 611-622 DOCUMENTA MATHEMATICA , Extra Volume ICM III (1998), 611-622 Gérard Iooss Title: Travelling...
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initial value problem DFQ January 16th 2009, 12:48 PM cheertcc101 initial value problem DFQ I need to solve this initial value problem: sin(x)dy/dx + ycos(x) = xsin(x) with initial condition y(pi/2)=2 Please help there are NO examples of my book of this type of problem THANKS January 16th 2009, 1...
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Constructing a special infinite-dimensional vector bundle up vote 3 down vote favorite 1 Let $M$ and $N$ be finite dimensional smooth manifolds and $p: E \rightarrow N$ a finite rank vector bundle. $M$ can be assumed to be compact if necessary but I would prefer to work without this assumption. As described e.g. in K...
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Intergration help February 23rd 2010, 05:10 AM #1 Newbie Joined Feb 2010 Posts 3 1. (5x + 3) / (x^(2) + 2x + 5) 2. (3x + 6) / [x^(2) + 8x + 7]^(1/2) i am struggling to intergrate these two. solution method would be appreciated alot. $\int{\frac{5x + 3}{x^2 + 2x + 5}\,dx} = \frac{5}{2}\int{...
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A problem from a grade 9 math competition March 19th 2009, 01:57 AM dashed A problem from a grade 9 math competition I don't know whether I posted in the proper forum. This is a question from a 2009 grade 9 math competition. The question Starting with the input (m,n), Machine A gives the output (n,...
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Exponent of Sylow $p$-subgroup of classical groups over a field of characteristic $p$ up vote 5 down vote favorite 2 Let $G$ be a classical group of dimension $n$ over $GF(q)$ where $q=p^f$ is a prime power, and $P$ be a Sylow $p$-subgroup of $G$. What is the maximal order of elements, i.e. the exponent, of $P$? For...
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What is the shortest proof of the existence of a prime between $p$ and $p^2$ ? other examples? up vote 2 down vote favorite 1) It is well known that between a prime $p$ and $p^2$ always exist a prime, but what is the shortest proof of that (by elementary methods or not)? (One can say that we can have it as a collorar...
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Having Trouble with Integral? January 27th 2009, 12:13 PM #1 Having Trouble with Integral? Hi, am doing a question looking for the length of a curve, the function given is $y=e^x + 1/4e^-x$, from $[1,0]$ is my interval. I got all the parts down i got $dy/dx=e^x-1/4e^-x$then from the length of curve formula, ...
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semidirect product of groups semidirect product of groups Naturally, we start with the construction of semi–direct products. Definition 1. Let $H$ and $Q$ be groups and let $\theta:Q\longrightarrow\operatorname{Aut}(H)$ be a group homomorphism. The semi–direct product $H\rtimes_{\theta}Q$ is defined to be the group...
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Same Shape but Back to the Table of Contents A Review of Basic Geometry - Lesson 12 Same Shape but maybe not same Size: Similarity Lesson Overview Scale models...
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Math Help April 7th 2008, 02:19 PM #1 Member Joined Mar 2008 Posts 88 Integrate I am stuck on these three problems because I didn't understand how the teacher was teaching it. The test is in two days. 1.∫(x^3-2x+2)dx 2.∫(sqrt(x) - 1/x^2)dx 3.∫(2x^3+1)^2 x^2 dx Thanks for the help. ...
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Tensor product of linear mappings versus chain complexes up vote 3 down vote favorite 3 A chain complex of vector spaces $X_k$ is a sequence of linear mappings $\dots \overset{d_{k-1}}{\longrightarrow} X_k \overset{d_{k}}{\longrightarrow} X_{k+1} \overset{d_{k+1}}{\longrightarrow} \dots$ such that $d_{k+1} \circ d_k...
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High School Math Posted by Brian on Wednesday, October 3, 2012 at 3:20pm. Y over -6 > 10 and i need to solve A. y < –16 B. y > –60 C. y > 4 D. y < –60 I got C, but thats not right • High School Math - Steve, Wednesday, October 3, 2012 at 3:26pm y/-6 > 10 y < -60 Looks like D When you multiply...
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Geometry Help & Proofs Posted by Anonymous on Wednesday, May 14, 2014 at 6:34am. The ratio of the volume of Cylinder A to the volume of Cylinder B is 1:5. Cylinder A is similar to Cylinder C with a scale factor of 1:2 and Cylinder B is similar to Cylinder D with a scale factor of 1:3. What is the ratio of the volume o...
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Fundamental Group Question May 2nd 2009, 09:50 AM Erdos32212 Fundamental Group Question What is $\pi_1(S^1 \vee S^1 \vee S^2)$? Is it $\mathbb{Z} * \mathbb{Z} * \{1\}$ by Van Kampen's Theorem? Thanks, I just wanted to check this. May 2nd 2009, 01:30 PM GaloisTheory1 Yes, that is correct. It is a...
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Dr. Vasilis Pagonis- McDaniel College FIRST ORDER KINETICS model The simplest model in Thermoluminescence consists of two energy levels: the electron traps and the recombination center (RC) shown in the figure below. This is also known as the One-Trap-One-Recombination-Center (OTOR) model. ...
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Student's t-test (statistics) Student’s t-test Article Free Pass Student’s t-test, in statistics, a method of testing hypotheses about the mean of a small sample drawn from a normally distributed population when the population standard deviation is unknown. In 1908 William Sealy Gosset, an Englishman publishing unde...
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Sum of Independent Random Variables - Moments November 19th 2009, 03:33 PM azdang Sum of Independent Random Variables - Moments Let $X_1,...,X_n$ be independent, each with mean 0, and each with finite third moments. Show that: $E((\sum_{i=1}^{n}X_i)^3)=\sum_{i=1}^n E(X_i^3)$ It gives a hint to use char...
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Characterization of the line profile 18. CHARACTERIZATION OF THE LINE PROFILE Some astrophysical parameters can be extracted from a spectrum by the measurement of the spectral line profile. For example the measurement of the profile gives access to the temperature of surface of a star, at its disk speed, at the speed ...
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Trying to understand this problem...Integration by Parts October 13th 2009, 06:58 PM Med-School Crys Trying to understand this problem...Integration by Parts I have been racking my head for the past week trying to understand these types of exercises, and for the most part, they're usually understandable as I DO ...
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PSEUDO INVERSE Dataplot Vol 1 Auxiliary Chapter PSEUDO INVERSE Name: Type: Purpose: Compute the transpose of the Moore-Penrose pseudo inverse of a matrix. Description: If A is a square matrix of full rank, then the inverse of A exists (A is referred to as an invertible matrix) and has the solution...
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Does every embedding of one unipotent group (over R) in another extend to an embedding of the respective upper triangular matrix groups? up vote 3 down vote favorite Let $T^*$ denote upper triangular matrices (of the appropriate size) with positive diagonal entries and $\mathrm{UT}$ upper triangular matrices with all ...
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Demazure, lectures on p-divisible groups, III.2, the Witt rings over Z This entry is about a section of the text The Artin-Hasse exponential series? $E$ can be written as $E((a_0,\cdots),t)=exp(-\Sigma_{n\ge 0}t^{p^n}\Phi_n /p^n)$ with $\Phi_n(a_0,\cdots)=a_0^{p^n} + p a_1^{p^{n-1}}+\dots p^n a_n$ The $S_i$ in the ...
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Analysis and the Derivative Date: 01/23/2001 at 14:19:58 From: Yvonne Subject: Analysis and the Derivative In my analysis class, we have come to the chapter on the derivative. The text suggests considering the following problem. I'm having a little trouble starting and I would greatly appreciate it if you could help...
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The Hanging Chain The first continuous system whose normal modes were known, the first use of Bessel functions, and a demonstration of Rayleigh's Principle This is not a problem with great practical application, but it is of great historical interest and it is interesting to solve. By a chain we mean an extended, uni...
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y Kinematic viscosity Cst ( Centistokes, Li Stokes ): cst; St ( Stokes, Stokes ): Sri Lanka The international system of units: mm2/s: mm / sec Conversion relationships: 1Cst = 10-2 St = 1 mm2/s Dynamic viscosity: CP ( Centipoise ): cp; P ( Poise ): park; The international system of units: Pa w s: W seconds. Conversi...
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Distance of two moving objects. March 18th 2010, 03:48 AM Neversh Distance of two moving objects. At noon ship A is 100 km west of ship B. Ship A travels south at 35km/h and ship B travels North at 25 km/hr. At 4pm how fast does the distance between them change? I don't quite understand how to do this so a ...
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area of square Area of Square In this section we will discuss about Area of Square. The formulas related to the above topic are as follows Let ‘a’ be the length of each side of a square. Then, • Perimeter = 4a units • Area = a ^2 =( Perimeter/4) ^2 sq. units • Area = ½ (Diagonal) ^2 sq.units • Side of ...
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09. Nature's Math We now turn to an interesting differential equation that has many applications. Its simplicity of expression belies its wide application in various branches of physics. It has several versions, we will examine two. Voltage at capacitor in series RC circuit. Version 1: (1) y(t) + r c y'(t) = b (2...
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Is the closure of the orbits of the mean curvature flow compact for a finite time? up vote 2 down vote favorite Question: Suppose $N$ is an $n$ dimensional immersed submanifold in a complete, non-compact manifold $M$, with bounded geometry. Suppose the mean curvature flow $F:N\times [0,q)\rightarrow M$ satisfies $...
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Michael Shulman axiom of 2-choice The following definition is due to Mathieu Dupont. Conjecture A (2,1)-exact and countably-coherent 2-category $K$ satisfies the axiom of 2-choice iff 1. $gpd(K)$ has enough discretes and 1. $disc(K)$ satisfies the ordinary axiom of choice (with respect to regular epis). The “if” di...
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When will a stiffness matrix become non-symmetric? You are here When will a stiffness matrix become non-symmetric? Sun, 2012-06-24 07:53 - Khong Wui Gan Hello, I would like to know under what situation will a stiffness matrix in a FEM problem become non-symmetric? Is there any good reference to this topic? Thanks. ...
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Modelling the effect of seasonal influenza vaccination on the risk of pandemic influenza infection Abstract Background Recent studies have suggested that vaccination with seasonal influenza vaccine resulted in an apparent higher risk of infection with pandemic influenza H1N1 2009. A simple mathematical model incorpor...
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Probability a Brownian particle with an exponentially distributed lifetime hits a sphere before vanishing up vote 2 down vote favorite Imagine I have a point source $p_0 = (x_0,y_0,z_0)$ that releases a point-like Brownian particle with a lifetime given by an exponentially distributed rate parameter $\lambda$. When th...
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Cubic equation program not giving me right answers 08-23-2006 #1 Cubic equation program not giving me right answers Im getting the wrong roots when running the program. The maths the program is based on is in the attatched image. Code: #include <stdio.h> #include <stdlib.h> #include <math.h> ...
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Figure Resolution: standard / high Figure 5. An example how the Floyd-Warshall algorithm calculates the minimal transitive interaction uncertainties. Consider order I of the nodes (b): In the first iteration (k=1=a) nothing changes since no path via 1 exists as 1 has no incoming edge. In the next iteration (k=2=b)...
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generate a list of combinations/sets of numbers with limited supplies up vote 1 down vote favorite Say I have 1 red ball, 1 blue ball, 2 yellow balls, and 3 green balls, for a total of 7 balls. I want to select 3 balls from the group of seven. How many ways can I do this? When I counted manually I got 11 combination...
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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: Joke (one school formula and not a school withdraw...
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Proportional Segments 3.2. Proportional Segments • If two segments (AC and AD below) are divided proportionally (by drawing BE parallel to CD), then resulting corresponding segments are proportional (their ratios are equal) to each other and to the original segments. Segments AC and AD are divided proportionally, and...
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Physics Archive | June 15, 2009 | Chegg.com Physics Archive: Questions from June 15, 2009 • Anonymous asked 1 answer • Anonymous asked 1 answer • Anonymous asked 1 answer • Anonymous asked F... Show more A object of mass 3.00 kg is subject to aforce F[x] that varies...
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dependent types in a 2-category This is just bits and pieces for now; something more coherent will come later. Overview … Of course, we should be able to treat an $n$-type as an $m$-type for any $m\ge n$. When $n=-1$ and $m=0$ this corresponds to replacing a proposition $\varphi$ by the set $\{ * | \varphi\}$, while...
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Do the elementary properties of mixed volume characterize it uniquely? up vote 13 down vote favorite 2 Background Take 2 convex sets in $\mathbb{R}^2$, or 3 convex sets in $\mathbb{R}^3$, or generally, $n$ convex sets in $\mathbb{R}^n$. "Mixed volume" assigns to such a family $A_1, \ldots, A_n$ a real number $V (A_1,...
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Countable Cartesian Product September 2nd 2012, 07:31 AM kalyanram Countable Cartesian Product Let $A_1, A_2, A_3, . . .$ be countable sets, and let their Cartesian product $A_1$ x $A_2$ x $A_3$ x ..... be defined to be the set of all sequences $(a_1, a_2, . . .)$ where $a_k$, is an element of $A1$. Prove th...
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Arctan approximation example Sign in Search compdsp Free PDF Downloads Discussion Groups FFT Spectral Analysis Software Free Online Books See Also There are 12 messages in this thread. You are currently looking at messages 1 to . Is this discussion worth a thumbs up? Re: Arctan approximation example - Martin...
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Higher order divided differences and derivatives up vote 2 down vote favorite 1 Let $f:R\rightarrow R$. If there exists the finite limit $$\lim_{(x,y) \rightarrow a \atop x\neq y} \frac{f((y)-f(x)}{y-x}$$ then obviously there is a finite derivative $f'(a)$ and is equal this limit. What about similar problem for highe...
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Fermat Numbers Date: 01/25/2003 at 14:13:49 From: Ghori Subject: Fermat Number How can we prove that any two Fermat Numbers are coprime? Date: 01/25/2003 at 23:19:33 From: Doctor Paul Subject: Re: Fermat Number First establish by induction the following identity: [F_0 * F_1 * F_2 * ... * F_(n-1)] + 2 = F_n. Then...
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Different ways to interpret Feynman diagrams Feynman diagrams are the funny pictures that Richard Feynman drew on his van: You see that a Feynman diagram is composed of several lines that meet at vertices (at the nodes of the graph). Some of the lines are straight, some of them are wiggly: this shape of each line d...
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Analytical appendix for NIPA Chapter 3 I am now using Friday’s blog space to provide draft versions of the Modern Monetary Theory textbook that I am writing with my colleague and friend Randy Wray. We expect to publish the text sometime in 2013. Our (very incomplete) textbook home page – Modern Monetary Theory and Pra...
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The population genetics of cooperative gene regulation Abstract Background Changes in gene regulatory networks drive the evolution of phenotypic diversity both within and between species. Rewiring of transcriptional networks is achieved either by changes to transcription factor binding sites or by changes to the phys...
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Newest &#39;real-analysis na.numerical-analysis&#39; Questions For example, the cookie cutter maps, say $T:I_1 \cup I_2 \subset [0,1] \to [0,1] $ is a $C^2$ map such that $|T'|>1$ and provided $I_1$ and $I_2$ are disjoint closed intervals and $T(I_i)=[0,1]$. ... The $n$th Gauss-Laguerre quadrature aims to approximate ...
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Chapter 7. Polynomial-Time Computability Polynomial-Time Computability 149 Next, we want to define EXPTIME and EXPSPACE. A language L belongs to EXPTIME if there is a program and a polynomial p such that the program computes the characteristic function of L at each word x in at most 2 p(|x|) steps. And a language L bel...
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er Math Goodies is a free math help portal for students, teachers, and parents. Home | About Us | Contact Us | Privacy |...
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Emily rows six miles downstream in 1 hour and her friend Ashley, rowing 1 mile per hour faster completes the return... - Homework Help - eNotes.com Emily rows six miles downstream in 1 hour and her friend Ashley, rowing 1 mile per hour faster completes the return trip in 2 hours. Find the speed of the current (c) and ...
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isomorphismes Reversing a sha1sum resembles reversing a pie. Even if you know how much eggs has the baker put in it the best you can do is trying to bake exactly the same pie (not over ℝ just the domain you see = 0<x<1⊂ℝ) What does it mean when mathematicians talk about a bijection or homomorphism? Imagine you want ...
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Functions of several variables From Intelligent Perception 1 Introduction We will study scalar-valued functions $f: {\bf R}^n {\rightarrow} {\bf R},$ which map vectors onto numbers (scalars). One the surface, the set-up may appear similar to the one of parametric curves $f: {\bf R} {\rightarrow} {\bf R}^n$, but the ...
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CHemistry....Please double check DrBobb Posted by Saira on Saturday, January 24, 2009 at 1:06pm. What mass of ethylene glycol C2H6O2, the main component of antifreeze, must be added to 10.0 L water to produce a solution for use in a car's radiator that freezes at -23C? Assume density for water is exactly 1g/mL. First...
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Exams Old Chemistry 142 Second Hour Exams Return to SYLLABUS Questions found on previous Second Hour Exams; the answers are in curly brackets. D stands for delta; for example, DH represents delta H. 1(15)- When the temperature is incr...
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Book review of The Higher Infinite, Akihiro Kanamori • J. D. Hamkins, “Book review of The Higher Infinite, Akihiro Kanamori,” Studia logica, vol. 65, iss. 3, pp. 443-446, 2000. @ARTICLE{Hamkins2000:BookReviewKanamori, AUTHOR = "Joel David Hamkins", TITLE = "book review of {The Higher Infinite, Akihiro K...
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Double check December 3rd 2008, 03:16 PM #1 Junior Member Joined Sep 2008 Posts 71 Double check I just need a double check with my problems about point slope the one with the forumula like y-y1=m(x-x1) (6,-4), (3,5) answer y=1x+8 (2,7), (1,-4) answer y=11x-43 (-5,13), (-10,9) I got -4/5x+1 ...
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Math Forum: Ask Dr. Math FAQ: Trachtenberg Speed System The Trachtenberg Speed System of Basic Mathematics This constitutes a system of performing high-speed multiplication, division, addition, subtraction, and square root, all in one's head. The details are given in this reference: Ann Cutler and Rudolph McShane...
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DC Coupled Amplifiers for Audio 2.1 THE DIFFERENTIAL AMPLIFIER STAGE 2.3.1 Differential input stage 3.1 TRANSCONDUCTANCE INPUT STAGE 3.2 TRANSRESISTOR INTERMEDIATE STAGE 1. INTRODUCTION We will here look at DC coupled amplifiers. ...
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