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Automata and the A-D-E classification. Introduction The A-D-E classification is a strange ubiquitous pattern that appears in many branches of mathematics. Typically it appears when you try to classify certain types of mathematical construction. If the A-D-E classification applies then you end up with two infinite se...
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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: Prime numbers and pi Replies: 33 Last Post: Dec 10...
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Proof of the yield curve being nondecreasing. March 24th 2012, 05:04 PM Kuma Proof of the yield curve being nondecreasing. I need to show that the yield curve defined by r(t) = 1/t integral r(s) ds from 0 to t is a nondecreasing function iff: P(αt) ≥ (P(t))^α, for all 0<=α<=1 , t>= 0 and P(t) i...
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Calculus/Quadratics problem March 19th 2011, 04:58 AM LandLBoy Calculus/Quadratics problem The descent of a roller coaster starts at the max point of a parabola whose equation is y= 100 - 1/4x^2 and ends along the horizontal line y = 0. In order to make the ride smooth, a section of track following the graph...
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general solution to DE dy/dx +2y/x = 4x find general solution dy/dx= 4x + x/2y 2y dy = 4x + x dx 2y dy = 5x dx integrate y^2 = 2.5 x^2 + C
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Jordan Canonical form problem April 23rd 2008, 02:02 PM #1 Super Member Joined Mar 2006 Posts 705 Thanks 2 Jordan Canonical form problem Find the Jordan Canonical form of the following matrice: $\begin{bmatrix} 1 && 2 \\ 3 && 2 \end{bmatrix}$ For this one, here is what I have so far: F...
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[SciPy-User] Integration over Voronoi cells Friedrich Romstedt friedrichromstedt@gmail.... Thu Nov 24 09:57:20 CST 2011 2011/11/24 Eraldo Pomponi <eraldo.pomponi@gmail.com>: > Dear Friedrich, > First of all let me thank you for your suggestions. It took a little bit to > get into them > but I still have some BIG doub...
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related rates help November 23rd 2009, 04:24 PM #1 Junior Member Joined Oct 2009 Posts 30 related rates help The Question is: Water drains from the conical tank shown in the figure at the rate of 5ft^3/min. How fast is the water level dropping from when h=6ft? ok the relation between the var...
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Volume of an Elliptical Cone Date: 10/15/98 at 12:33:51 From: francesca Subject: Volume for elliptical cone Can you enlighten me on how to find the volume for an elliptical cone? I've tried many approximations. I'm looking for an equation or analysis by integration. Thanks, Francesca Date: 10/16/98 at 08:22:03 F...
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Spot my mistake please... September 7th 2010, 10:58 PM cyt91 Spot my mistake please... In a class of 30 students,10 of them come to school by bus,12 students walk to school and the others by car. 6 students are randomly selected. Find the probability that (a) only 1 student come to school by car (ans:0.3548...
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Estimating the sum of a series July 6th 2008, 09:29 PM #1 Junior Member Joined Jun 2008 Posts 46 Estimating the sum of a series Hello once again, I have this problem that wants me to estimate the sum of a given series within 0.0001. "Consider the series $\sum_{k=1}^{\infty}\frac{{4(-1)^k}}{(3^k...
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Area Under an Inverted Catenary December 2nd 2009, 01:01 PM #1 Newbie Joined Dec 2009 Posts 2 Area Under an Inverted Catenary Greetings all, this is my first post on these forums. I'm attempting to construct an inverted catenary that will intersect the x-axis at y=0 and y=1 and have an area of 1 bou...
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DeMoivre's theorem January 14th 2007, 09:25 PM #1 Junior Member Joined Jan 2007 Posts 30 DeMoivre's theorem I have this problem and I want to make sure I understand it. Use DeMoivre's theorem to write [3cis(pi/2)][squared] in the form a + bi without trigonometric functions. Hello, Mike! Us...
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average velocity and Mean Value Theorem April 27th 2008, 11:40 AM #1 average velocity and Mean Value Theorem ok, couple problems: they give you a graph of velocity [IMG]file:///C:/DOCUME%7E1/student/LOCALS%7E1/Temp/moz-screenshot-1.jpg[/IMG] [IMG]file:///C:/DOCUME%7E1/student/LOCALS%7E1/Temp/moz-screenshot-2...
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'Warm Up' #2 (not a 5-minute one, perhaps) [After writing several thousand SAT-type problems over the years and authoring many math contests here in my state, I should be able to come up with a few of these. Now if I could only locate those 250 file folders with the materials...] Some geometry today...This question is...
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Solving a Quartic Polynomial using a Trig Substitution Date: 12/27/2001 at 15:23:23 From: Kevin Sobieski Subject: Algebra I need help solving this system: y/sqrt(y^2+64) = (x+y)/25 x/sqrt(x^2+64) = (x+y)/20 I tried solving for y in terms of x, but after 1.5 pages, I still don't have my answer. Is there an e...
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factorization October 25th 2008, 05:51 PM #1 Junior Member Joined Sep 2008 Posts 73 factorization okay here is some of the questions i couldn't do factorize the following fully a) 8(m^2)+4m+2 b) (x^2)-3xy-4(y^2)-6x-6y c) (x^3)-4(x^2)-12x-(x^2)y+36y d) (x^2)-9(y^2)-3xz-9yz well,...
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Oracle counterexample to finding pseudoprimes From Polymath1Wiki One can consider the following soft generalisation to the finding primes conjecture: Soft conjecture Suppose one has a set S of integers which is in P, and which is at least as dense at the primes (thus the set of k-digit elements of S has density ...
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partial fractions July 29th 2007, 11:53 AM davecs77 partial fractions I understand how to do these, but I am stuck on how to solve for these 4 variables i got in these equations: A + C = 2 B + D = 0 A + C = 0 B + D = 0 ..just incase i messed up..my original equation is integral of (2x^3)...
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Calculus Derivatives of Trig Functions The derivatives of trig functions are a bit different. Look at the sine function, and the slope of the sine function at some selected points. ┌──────────────┐ │ F(X) = sin X │ ...
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How do I estimate limits of agreement when the mean or SD of differences is not constant? The simple 95% limits of agreement method relies on the assumptions that the mean and standard deviation of the differences are constant, i.e. that they do not depend on the magnitude of the measurement. In our original papers, w...
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(A very limited instance of) Lagrange's Theorem's converse and A_5 MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required. Suppose $G$ is a finite simple group and $|G|$ is a multiple of $60$. Does it follow that $G$ has a subgrou...
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Tumbler Reverse for 10×22 lathe The Grizzly G0602 is a great lathe, but it doesn’t have gears to allow cutting left-hand threads. It also lacks a neutral, so the leadscrew always turns unnecessarily. This simple mod can remedy both these inadequacies. This page will serve as my build log for the reverse. I got the id...
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rbelos Pappus's Arbelos Move your cursor into the following applet: The arbelos is the area between the 3 red semicircles. Archimedes (287 to 212 B.C.) wrote of its mysterious properties. People are still learning about it. Pappus in about 320 A.D. wrote about one particular problem. The Arbelos is successively filled...
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The diophantine equation X^2 - Y^2 - Z^2 = +- 1 up vote 4 down vote favorite 5 Hi everybody. I'd like to know if the diophantine equation (1) $$X^2 - Y^2 - Z^2 = \pm 1$$ has been studied and if the set of its solutions $(X,Y,Z)$ is known. I appreciate any reference. Thank you very much. P.S. If instead we look at t...
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Questions for Modules 4-5 Note: you should try these questions after you have read and understood modules 4-5 and chapters 7-12. Note: draw the curve and label if this was a real test. You would also want to show all of your work. ...
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Induction on .999... Date: 10/19/2000 at 08:19:40 From: Blake Thomson Subject: Further questions on .999... = 1 I have been having an argument with my physics teacher over the fact that point nine recurring (.999... or PNR) equals 1. I showed him the proof on your site and he pointed out a fact that I hadn't noticed...
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Multiple Integrals! Jigga Wha?! In Multivariable Calculus today, I let my kids loose. We are starting our chapter on multiple integrals, and I generally start out just dryly explaining what integration in higher dimensions might look like. But today, I decided to scrap that and have my kids try to see if they could ge...
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n degree function May 9th 2010, 10:56 PM #1 n degree function the diagram shows the graph of y=x^n, where n is an integer. given that the curve passes between the points (2,200) and (2, 2000), determine the value of n. i just dont get this question. what does it mean precisely to 'pass between the points', ho...
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Confusing Rates of Change April 9th 2010, 05:24 AM Sunyata Confusing Rates of Change Hi How do I do this: A lamp is 40 m above the ground and a stone is dropped from the same height at a point 10 m away. Find the speed of the shadow on the ground given that in t seconds the stone falls $4.9t^2$ m. ...
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Word Problems involving percents. June 4th 2007, 11:33 AM #1 Newbie Joined Jun 2007 Posts 3 Word Problems involving percents. Here is my problem: What number increased by 6% of itself equals 2650? I've gotton to the point of: 1.06x=2650 0VER 1.06(in a fraction). But I'm stuck on what to do nex...
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Binomial Coefficients #include <boost/math/special_functions/binomial.hpp> namespace boost{ namespace math{ template <class T> T binomial_coefficient(unsigned n, unsigned k); template <class T, class Policy> T binomial_coefficient(unsigned n, unsigned k, const Policy&); }} // namespaces Returns the binomial coeffi...
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Empirical Formula - Molecular Formula Brightstorm is like having a personal tutor for every subject See what all the buzz is about Check it out Empirical Formula - Molecular Formula 29,994 views An empirical formula is the lowest ratio of the atoms within a molecule. The empirical formula is accurate when describi...
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Triangles May 7th 2007, 06:24 AM pow3r2dapplz Triangles For both 1 and 2 use the Trigonometric Ratios Table in this link : Trigonometric Ratios Table For number 1: Find the measure of angle A correct to the nearest degree. For number 2: Find the measure of angle B correct to the nearest degree. Co...
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Values of Trig Functions Theta=SinInverse(8/17) Find the values of the 6 Trigonometric Functions..... Cos, Tan, Cot, Cos, Sec and Sin Quote: Originally Posted by Luckyjoshua Here is an easy method, Since, $\theta=\sin^{-1}(8/17)$, means that, $\sin \theta=8/17$ Thus, the sine of an angle in the triangle is 8/17 whenev...
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Quadrilateral worded question... January 28th 2011, 03:13 PM mandarep Quadrilateral worded question... ABCD is a quadrilateral with angle ABC a right angle. D lies on the perpendicular bisector of AB. The coordinates of A and B are (7, 2) and (2, 5) respectively. The equation of line AD is y= 4x-26. I've...
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Solving sum Start with the binomial expansion $(p+q)^n = \sum_{k=0}^{n}\binom{n}{k}p^kq^{n-k}.$ Differentiate partially with respect to p (keeping q constant), then multiply both sides by p. That will give $np (p+q)^{n-1} = \sum_{k=0}^{n}\binom nk kp^kq^{n-k}.$ Now do the same thing again: $np(p+q)^{n-1} + n(n-1)p^2(p+...
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[SciPy-user] stopping criterion for integrate.odeint? Fernando Perez Fernando.Perez at colorado.edu Wed Mar 23 18:34:53 CST 2005 Ryan Gutenkunst wrote: > Consider the integration of dy/dt where y can be a vector. We want to > know exactly when the condition c(y) = 0 is satisfied. We integrate > dy/dt from 0 to som...
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Are there any solutions to $2^n-3^m=1$ up vote 5 down vote favorite 2 Are there any positive integer solutions to $2^n-3^m=1$ with $n,m>2$ ? By way of justifying the question, I've found lots of info on what happens where $m=n$ (mostly FLT variantions, Darmon + Merel,...) but don't really know where to look for $m\no...
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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: Integral test Replies: 17 Last Post: Dec 20, 2012 ...
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Proofs-squares prove that the sum of two odd squares cannot be a square Hello, anncar! A variation of Dan's explanation . . . Prove that the sum of two odd squares cannot be a square. If $n$ is even, $n = 2k$, its square is: . $n^2 \:=\:(2k)^2\:=\:4k^2$ . . The square of an even number is a multiple of 4. .[1] If $n$ ...
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LRT, exponential February 27th 2011, 03:03 AM #1 Senior Member Joined Nov 2010 From Hong Kong Posts 255 LRT, exponential Could you please take a look if my answer makes sense- I don't have a solution to this practice question. Also, I am not quite sure how to read the data in part (c). Question ...
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Algebra, Problems For Fun! (4) January 6th 2009, 10:59 AM #1 MHF Contributor Joined May 2008 Posts 2,295 Thanks 7 Algebra, Problems For Fun! (4) Ok, for this one you only need some very basic knowledge of group theory: Let $G$ be a finite non-abelian group and $|G|=n.$ Let $k$ be the number of c...
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A question about partial derivatives and directional derivative. February 23rd 2010, 06:41 PM #1 Member Joined Jul 2009 Posts 120 A question about partial derivatives and directional derivative. Assume $f$ is a real-valued function defined on an open set $E$ of $\mathbb R^n$ and all partial derivatives o...
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'Why' Questions in Math Date: 04/19/2002 at 13:09:14 From: Sharyn Subject: "Why" Questions in Math Is math a bad area for asking 'why' questions? In science, when one asks why, there seems to be a "real" (to me) answer. Such as chemistry, where one can identify a chain of concrete events that leads to "now." But if...
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Finding the derivative September 15th 2009, 05:10 PM #1 Member Joined Jan 2008 Posts 118 Finding the derivative f(x) = 1/x a = 2 Use the definition: f' (a) = lim as x approaches a of f(x) - f(a) / x - a Can someone help? $f(x) = \frac{1}{x}$ $f'(x) = \lim_{h \to 0}\frac{f(x + ...
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Math Help August 3rd 2013, 08:22 AM #1 Newbie Joined Aug 2013 From Mauritius Posts 12 Thanks 1 Functions Functions f and g are defined for x E R by f:x --->e^x g:x--->2x-3 (i) Solve the equation fg(x)=7 Function h is defined as gf (ii)Express h in terms of x and state its ...
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the probability of bricks arranged randomly. August 16th 2012, 08:04 AM Mhmh96 the probability of bricks arranged randomly. if someone have 4 red bricks and 8 blue bricks ,he want to arrange them randomly in circular shape, What is the probability that two red bricks are not side by side? August 16th 2012, 10:...
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find MGF given PMF November 12th 2009, 08:12 AM #1 Junior Member Joined Oct 2008 Posts 39 find MGF given PMF I'm given pmf of X is (1/2)^(x+1) and asked to find the moment generating function. so i have MGF = sum{(exp(xt))*(1/2)^(x+1)} sum((1/2)^x) goes to 1. but the exp(x) either blows u...
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Homeomorphic sets. Please show that [0,1)x[0,1) is homeomorphic to [0,1]x[0,1). Thank you... Attachment 25108 There are a ton of ways to do this. The common approach is to rely on expansions and contractions of line segments, and note that they're not merely continuous, but are also continuous in their parameters. i.e...
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Writing system of linear equations. November 21st 2010, 09:06 AM kensington Writing system of linear equations. Could someone help me with the folowing question please Using the following data: Attachment 19794 Write down the system of linear equations with a1....... a11 as unknowns such that ...
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Combinations of random variables April 13th 2009, 08:08 AM #1 Junior Member Joined Feb 2009 Posts 40 Can anyone help me on the following Pls? The random variable X has p.d.f given by f(x) = x/2 0£ x £ 2 0 otherwise (a) Find the c.d.f of X, FX(x). The random variable Y = X2 and takes v...
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Cauchy-Frobenius-Burnside Theorem Use the Cauchy-Frobenius-Burnside Theorem to determine the number of graphs of order 5. Can someone please assist with this question. The setup seems like it must be this: Let $V = \{v_1, v_2, v_3, v_4, v_5\}, G = Sym(V), X = \{ (x_1, x_2) \in V \times V | x_1 e x_2 \}$ Then G induces...
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Implicit Differentiations September 29th 2008, 10:03 PM #1 Newbie Joined Sep 2008 Posts 2 Implicit Differentiations I understand the concept behind this type of funciton, but am unable to simplify it into the for that my teacher wants: 2x^2-3y^2 = 4, d^2y/dx^2 (second derivative) The answer is ...
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$2$-torsion line bundles on abelian varieties up vote 5 down vote favorite 2 Let $\mathcal{A}_{g,D}$ be the moduli space of abelian varieties of dimension $g$ and polarization $D$ of type $(d_1, \ldots, d_g)$. Let $\mathcal{M}$ be the moduli space parametrizing pairs $(A, \mathcal{L})$, where $A \in \mathcal{A}_{g,D}...
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vectors, find v, a, s September 8th 2009, 08:03 PM Arez vectors, find v, a, s Quote: If both u X v = 0 and u.v = 0, what can you conclude about u or v i don't know what theyre getting at Quote: Find velocity v, acceleration a, and speed s at the indicated time t = t1 for r(t) = sin2ti + cos3...
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solve in Z Note that 8 is a solution to both equations. 11*9=99 8+99 is also a solution. (Why?) Similarly 8+2*99 is also a solution. Conclusion: 8+99k is the general solution, where k is any integer. The conclusion is valid, the argument less so. If once cites the Chinese Remainder theorem, that argument would be suff...
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20th WCP: Philosophy of Contents: Form and Coulomb's Law I. Introduction The purpose of this article is to demonstrate how disregarding the philosophical approach at solving physics problems, on the basis of a concrete example of dimensionality establishment, leads to serious consequences, and to what extent. A transf...
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Related to fractional ideals up vote 2 down vote favorite 1 $K$ a field, $A\subset K$ a subring, $M\subset K$ an $A$-submodule. Define $$(A:_{K}M):= \lbrace s\in K|sM\subset A\rbrace$$ Then it is easy to see that $$M\subset A\Longleftrightarrow A\subset (A:_{K}M),$$ $$A\subset M\Longrightarrow (A:_{K}M)\subset A$$ ...
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l This paper was awarded in the II International Competition (1993/94) "First Step to Nobel Prize in Physics" and published in the competition proceedings (Acta Phys. Pol. A 88 Supplement, S-49 (1995)). The paper is reproduced here due to kind agreement of the Editorial Board of "Acta Physica Polonica A". ...
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Algebra Terms: 'Evaluate' and 'Simplify' Date: 7/30/96 at 14:38:11 From: Ralph Ware Subject: Algebra Terms Dear Dr. Math: I am a 43-year-old man entering college this fall for the first time. One of my required courses is Elementary Algebra. It has been 25 years since I've seen an algebra problem and I didn't exac...
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Help in Calculating a Value - Trigonometry September 4th 2008, 06:59 AM Ruler of Hell Help in Calculating a Value - Trigonometry Hi, I had this sum for an exam and I couldn't get it, so I just wanted to know how to solve it: Given: sinA + sin^2A = 1 Calculate: cos^12A + 3cos^10A + 3cos^8A cos^6A 2cos^4...
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Congruency March 5th 2009, 07:27 PM #1 Newbie Joined Mar 2009 Posts 1 Congruency I'm having trouble solving this problem. Solve the congruence 2x is equivalent to 7 (mod 17) Can someone work it out for me in step by step form with some explinations Add the modulus to $7$ : $\begin{arr...
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Deriving Operating Voltage For An IEC Reactor I have had some complaints (justifiable in my opinion) on how I derived the operating voltage for a given fusion reactor to within a few percent. I dont't take into account Einstein since the particle energies we are talking about for a proton are on the order of .6 Mev max...
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Hacking Quaternions (from The Inner Product) The Inner Product, March 2002 ...
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Help for exam in 6 hours November 28th 2007, 07:07 PM #1 Newbie Joined Aug 2007 Posts 5 Help for exam in 6 hours Hi all, I have an exam in 6 hours, which I know nothing about. You can see I'm doing well already. All I know is that the questions are always the same, but the numbers change. From the p...
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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: Help. Replies: 4 Last Post: Jan 17, 2006 2:08 PM ...
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Proving properties of matrix March 30th 2010, 08:09 PM #1 Senior Member Joined Jul 2009 From Singapore Posts 338 Proving properties of matrix Let A be the matrix $\left(\begin{array}{cc}a&b\\c&d\end{array}\right)$, where no one of a,b,c,d is zero. It is required to find a non-zero 2x2 matrix X such t...
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Green's Theorem Integration Question April 3rd 2013, 03:14 AM #1 Green's Theorem Integration Question Here's the question: Evaluate $\int_{C} e^x cos y dx - e^xsinydy$ where $A = (ln 2, 0)$to $D =(0,1)$ and then from $D$ to $B = (-ln2, 0)$. Hint: Apply Green's theorem to the integral around the clos...
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The royal status of 11-dimensional supergravity A few days ago, I discussed the maximally supersymmetric gauge theory, the Darth Vader theory, which is exceptional. I mentioned that the \(\NNN=4\) gauge theory in \(d=4\) dimensions is a beautiful, fully consistent (at the quantum level) dimensional reduction of the 10...
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binomial coefficients series February 13th 2010, 02:46 PM #1 Junior Member Joined Feb 2010 From Columbus, Ohio Posts 37 Thanks 1 binomial coefficients series Knowing that: $(1+x)^k = \sum_{n=0}^{\infty}\binom{k}{n}x^n = 1 + kx + \frac{k(k-1)}{2!}x^2 + \frac{k(k-1)(k-2)}{3!}x^3 + ...$ Giv...
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kernel functor nLab kernel functor In noncommutative ring theory, particularly in the subject of noncommutative localization of rings, a kernel functor is any left exact additive subfunctor of the identity functor on the category ${} _R Mod$ of left modules over a ring $R$. There is a bijective correspondence between ...
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Vacuous Cases, Empty Sets, and Empty Functions Date: 04/10/2004 at 08:38:12 From: Dua Subject: vacuous case, empty set, empty function I am having difficulty understanding 'vacuous' situations as in, if A is an empty set and B is a non-empty set then (i) there is one function f: A \to B namely the empty function but...
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What is known about first cohomology of the units in a number field? up vote 8 down vote favorite 4 Let $K/Q$ be a finite Galois extension with Galois group $G$. Let $U\subset K^\times$ be the group of units. I am interested in any available information about $H^1(G,U)$. Motivation: in the theory of fusion categories...
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Trig equations January 17th 2010, 02:44 PM #1 Junior Member Joined Jan 2010 Posts 25 Trig equations I accidently posted this in the Pre-Calc section, if possible can someone delete that? How do I solve these Cos^2x + 2sinxcosx - sin^2 x = 0 [0, 360) sin(x +1) = cos x [0, 360) Cos 4X -...
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Two bacterial colonies Actually, all I did was replace the 1000 with 3000 and the 2 with 3... Hmm. Turns out you can't do that. You know you've got the equation $P_{2}(t)=3000(b^{t}).$ You can just plug in the 3000 for the 2000, because, as you can see, if you put in a 0 for the t, you just get $P_{2}(0)=3000$, which ...
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Need help understanding proof of theorem March 8th 2010, 07:14 AM novice Need help understanding proof of theorem (The Principle of Mathematical Induction) For each positive integer $n$, let $P(n)$ be a statement. If (1) $P(1)$ is true and (2) the implication If $P(k)$, then $P(k+1)$ is true f...
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Limit of (a^x -1)/x when x approaches 0 March 21st 2010, 02:35 PM #1 Newbie Joined Mar 2010 Posts 15 Limit of (a^x -1)/x when x approaches 0 The answer is ln a. This was a problem we got last semester (book of exercises). We didn't have to solve this but I'm still wondering how to solve it. The ...
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Warp Velocities Warp Velocities FAQ Last modified: Friday, 27 August 2004 03:07 AM -0700 Maintained by: Joshua Bell, inexorabletash@hotmail.com Archive site (WWW): http://www.calormen.net/Star_Trek/ FTP site (text versions): ftp://ftp.cc.umanitoba.ca/startrek/minifaqs/ Copyright © 1994-2003, Joshua Bell. Not in the p...
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square root algorithm??? 12-29-2004 Emotions LuckY nailed this one. It was less code than I thought there would be. What would I need to learn to make it graphical? Like have a square calculator pop up when I run the .exe file with buttons for each number a a screen that displays what you are entering. Basica...
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Performing four separate line integrals May 11th 2008, 03:42 AM #1 Newbie Joined May 2008 Posts 4 S is the surface of an open cube with faces defined by the planes x = 0, x = 2, y = 0, z = 0, z = 2. The open face is given by y = 2. A vector field is given by F = yz i + xyz j + xy k....
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Derivation in paper - calculus - How? April 30th 2008, 03:49 AM #1 Member Joined Nov 2006 Posts 136 Derivation in paper - calculus - How? Hi all the paper is Pybus(2000) An integrated framework for the inference of viral population history from reconstructed genealogies wanted some help with th...
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Cohomology rings of GL_n(C), SL_n(C) up vote 3 down vote favorite 2 Can anyone provide me with the reference for the following fact (idea of the proof will be appreciated too): Cohomology ring with $\mathbb Q$-coefficients of a group $G$ (I don't know precisely what the assumptions are: reductive complex algebraic gr...
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Center of mass from the abstract point of view, or could the ancient Greeks invent modern analysis? up vote 16 down vote favorite 5 This is a very open-ended question, which may or may not have a perfect answer, and for which I have a few ideas but nothing like a clear picture. However, I guess it won't hurt to ask to...
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Are the numbers of elements of two distinct prime orders not equal in finite groups? Take the 2-minute tour × MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required. Are the numbers of elements of two distinct prime orders not equal in finite groups? gr...
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Upper and lower bounds From Polymath1Wiki Upper and lower bounds for c[n] for small values of n. c[n] is the size of the largest subset of [3]^n that does not contain a combinatorial line (OEIS A156762. A spreadsheet for all the latest bounds on...
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Summation of Floor Function Series Date: 01/12/2009 at 09:11:36 From: Ivan Subject: Formula for the sum of [ ] Hello! Is there any formula for the sum [p/q] + [2p/q] + [3p/q] + ... + [np/q] (p, q, n are natural numbers)? For example, [3/7] + [2*3/7] + [3*3/7] + [4*3/7] + [5*3/7] = 0 + 0 + 1 ...
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Equi Potential Equations or Euler Type Equations April 1st 2010, 10:45 AM #1 Newbie Joined Apr 2010 Posts 1 Equi Potential Equations or Euler Type Equations Hello All I want to know about "Equi-Potential Equations" which are also known as "Euler Type Equations". I have less exposure to these equatio...
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Graphing Polynomials TopGraphing is a better way to understand mathematical expressions, functions, relations etc as they are pictorial representation of any quant ity. However, it is possible to graph Polynomials with one or multi variables by hand. A polynomial can be thought of an expression representing a relation...
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Inverse trignometry; sec and tan April 6th 2009, 12:25 PM #1 Junior Member Joined Sep 2008 From Canada Posts 42 Inverse trignometry; sec and tan I'm so stuck on this. I have no clue where to start. sec (tan^-1 4) (the tan is an inverse with the -1, 4 is the number) Does this mean that ...
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Modular forms with prime Fourier coefficients zero up vote 8 down vote favorite Can you give a non-trivial example of an integer weight cusp form which does not lie in the old subspace and it has $a_p=0$ for all primes $p$? If such a form cannot exist then why? modular-forms nt.number-theory 1 Naïve heuristics s...
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Basic question about branch points on Riemann surfaces up vote 3 down vote favorite 4 If $X$ and $Y$ are Riemann surfaces (not necessarily compact), and $f:X\to Y$ is a holomorphic function, then it is obvious that the ramification points of $f$ in $X$ form a discrete subset of $X$. Is the same true of the branch poin...
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Homework Help Posted by SherylA on Thursday, October 5, 2006 at 7:01pm. *Sigh* Can someone explain to me how I would work thru this problem? An honest coin tossed n=3600 times. Let the random variable Y denote the number of tails tossed. (a) find the mean and the standard deviation of the distribution of the random ...
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Finding the values of p and q May 31st 2010, 09:20 AM Mukilab Finding the values of p and q $x^2-8x+23-(x-p)^2+q$ for all values of x find the value of p and q I did $(x^2-8x+16)+7=...\rightarrow (x+4)^2+7=(x+p)^2+q$ I'm stuck.. what should I do now, square route the whole thing? edit: ...
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Me Roof Area Calculations Methods for calculating the area of a roof depending on what measurements you already know • ROOF AREA CALCULATIONS - CONTENTS: how to calculate or estimate roof area from whatever numbers are at hand: roof rise, slope, angle, width or length or roof angle can give us the roof area with ...
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Integer Corollary Proof February 16th 2011, 03:16 PM #1 Member Joined Nov 2010 Posts 86 Integer Corollary Proof I would appreciate some help with this proof! Let n be an element of the integers. There exists no integer x such that n < x < n+1. Thanks! Here is a proof that there is no integ...
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dividing remainder w/exponents November 6th 2008, 12:57 PM #1 dividing remainder w/exponents For n is greater than or equal to 1, use congruence theory to find remainder of: $7 | 5^(2n) + (3)(2^(5n-2))$ so here's what I did - I'm new to mod(s) so I wanted to make sure it goes right: so: $= (5^2...
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ra Statistics Part 1: Average and Standard Deviation by Mark Lawrence People come in lots of different heights. Let's think about the height of American men. The average American man is 5'10". This means half of all American men are taller than 5'10", and half are shorter than 5'10". Th...
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Volume of parallelopiped October 12th 2010, 10:47 AM SyNtHeSiS Volume of parallelopiped What is the volume of a parallelopiped with adjacent vertices at O(0, 0, 0), A(1, 1, -2), B(3, 1, -1) and C(2, -1, 1)? I got the vectors: OA = (1,1,-2) OB = (3,1,-1) OC = (2,-1,1) but I am not sure wh...
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Even and Odd Extensions Next: About this document ... Up: Fseries_1 Previous: Even and Odd Functions In some applications, a function There are two natural ways of extending even function The values of Fourier cosine series of the original function The other canonical way of extending odd function T...
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