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Grothendieck spectral sequence and Mayer-Vietoris sequence up vote 3 down vote favorite 6 Suppose $U'\cup U''=X$ is an open cover $U$ of a topological space $X$ and $F$ is a sheaf on $X$ with values in abelian groups. There is a special instance of the Grothendieck spectral sequence relating Cech to sheaf cohomology: ...
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Math Forum Discussions Re: Devlin adn Recursion Posted: Nov 28, 2011 3:09 PM Dave L. Renfro wrote (in part): http://mathforum.org/kb/message.jspa?messageID=7616654 > I'll look through some of my stuff at home (where I'm > leaving for right after posting this) this weekend and > try to come up a better understanding ...
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Formula for given sequence April 17th 2007, 09:24 AM DivideBy0 Formula for given sequence How would you find a general formula for a sequence: 0, 1, 4, 10, 20, 35, 56, 84, 120 And by general formula I don't mean P_n = P_{n-1} + P_{n-2} or anything like that. Thx April 17th 2007, 10:19 AM ThePerf...
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[SOLVED] Gravitation? May 4th 2009, 10:10 PM #1 [SOLVED] Gravitation? Inside a fixed sphere of radius $R$ and uniform density $\rho$, there is spherical cavity of radius $\frac{R}{2}$ such that surface of the cavity passes through the centre of the sphere. A particle of mass $m$ is released from rest at centr...
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L'Hopital's Rule - finding limit problem December 13th 2010, 12:51 PM #1 Junior Member Joined Aug 2010 Posts 48 L'Hopital's Rule - finding limit problem I wanted to make sure I'm doing this right. 1. lim x--> 0. $\frac{x^3}{sinx-x}$ Get 0/0, so can use L'hopital's rule. $\frac{3x^2}{cosx-1}$=...
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Quantitative & Symbolic Reasoning Central Washington University Quantitative and Symbolic Reasoning Skills and Sample Items Quantitative and symbolic information may be displayed visually in graphs or charts or in numerical form using whole numbers, fractions, decimals, percentages, or time units (hours and minutes). ...
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Derivative indicator function MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required. I am wondering what is the derivative of the following function with respect to $x(t)$ in sense of distributions. $$ I\left(\int_0^t x(\tau)d\tau \l...
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Math Help October 19th 2009, 11:53 PM #1 Member Joined Sep 2009 Posts 158 Basis what's the basis of the subspace of P spanned by x^2 - 1 x^2 + 1 4x 2x-3 and another basis question... what's the basis of the space of vectors in a plane with an equation of 2x - 3y + 4z = 0 ...
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Can one recover the smooth Gauss Bonnet theorem from the combinatorial Gauss Bonnet theorem as an appropriate limit? up vote 24 down vote favorite 16 First let me state two known theorems. Theorem 1 (for smooth manifolds): Let $(M,g)$ be a smooth compact two dimensional Riemannian manifold. Then $$ \int \frac{K}{2 \p...
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Average and instantaneous rate of change of f. February 28th 2011, 11:07 AM #1 Member Joined Sep 2009 Posts 80 Average and instantaneous rate of change of f. Another one I'm currently stuck on: "Let f(x,y)=x^2+ln(y). Find the average rate of change of f as you go from (3,1) to (1,2). Find the instan...
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Arc Midpoint Date: 07/17/2001 at 20:17:45 From: Jon Subject: Arc midpoint Hi, I'm trying to figure out the midpoint of an arc where I know the start and end points of the arc and the radius only. I looked at your arc diagram but I was unable to determine how to calculate the midpoint value. Best regards, Jon Dat...
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Skin Depth The skin depth effect in metals such as copper is usually thought of as a high frequency effect, but of course it depends what you mean by 'high'. What matters is the refractive index of the metal. Well a...
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Automorphisms of the rooted tree operad up vote 3 down vote favorite 2 This follows Ryan Budney's comment to the question asked here. What is the automorphism group of the rooted tree operad? (By the rooted tree operad, I just mean the operad with object rooted trees and morphisms given by grafting a root to a l...
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Calculating Maximum Heart Rates by Age Date: 08/08/2005 at 17:46:05 From: Alex Subject: Heart Rate Find the heart rate of a 15 year old at 85% intensity. I'm not sure if I am supposed to add or multiply. Date: 08/08/2005 at 22:51:44 From: Doctor Wilko Subject: Re: Heart Rate Hi Alex, Thanks for writing to Dr. M...
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velocity problem September 23rd 2008, 09:17 PM #1 Newbie Joined Sep 2008 Posts 2 velocity problem ok, here is the math problem A plane can fly 315 mph in still air. If it can fly 190 miles downwind in the same amount of time it can fly 125 miles upwind, find the velocity of the wind. and i got ...
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Algebra: Common Denominators Date: 5/14/96 at 15:43:56 From: RDIANNE GREEN Subject: Algebra help needed, please :) Hi. I am having problems working out the following two problems because I don't know how to get all of them to have equal denominators. 1. 2 a + 1 4 ------- + ----...
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How to compute the number of regular spheres needed to fill a rectangular space up vote 1 down vote favorite 1 Computing the volume of a sphere is straightforward 4/3*pi*R^3 As is the volume of a rectangular space length*width*height (e.g. 10*10*6) How might I go about determining how many spheres would fit into a r...
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I have a challange January 7th 2010, 10:17 AM #1 Newbie Joined Jan 2010 Posts 1 I have a challange as the title sez i have a challange, altho for some of you won't be really a challange, more like a walk in the park type of thing, here it goes: there are 3(a,b,c) numbers and each number has 3 values...
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Calculating Number of Possible Subsets of a Set Date: 06/14/2002 at 14:57:35 From: Jim Subject: calculating number of possible sets of a subset What is the formula for calculating the number of posssible subsets for a finite set? For Example: A set of a total of 5. 1-5 Subsets with at least three integers, i.e. ...
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Binomial->hypergeometric->poisson January 10th 2010, 02:51 PM featherbox Binomial->hypergeometric->poisson Okay I'm new to this and I don't know latex (?) yet so bear with me please. This is past exam question I really want to finish off. I've done pretty much all of it so far. i. first part was to show...
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Why does the group law commute with morphisms of elliptic curves? up vote 18 down vote favorite 12 I know this should be pretty simple, but right now the only way I can see how to prove it is to sit down and write out explicit formulae for the group law, and see that everything works out. What's the geometric or abstr...
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Find all functions satisfying the functional equation September 10th 2010, 11:20 PM PaulinaAnna Find all functions satisfying the functional equation Find all functions $f$ defined on the set of positive real numbers and having real values, that for any real $x, y$ there is satisfied the following equasion: ...
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Matrix operations in Java Introduction This article introduces some basic methods in Java for matrix additions, multiplications, inverse, transpose, and other relevant operations. The matrix operations are explained briefly and external links are given for more details. The main functions are given as static utility m...
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solve the equation May 5th 2011, 07:16 AM andyboy179 solve the equation hi, i nned to solve this equation: x^3-5x=8 x=2.7 im unsure how to work this out. i know i would do 2.7^3-13.5x=8 but i don't know what to do after this. some help would be great! thanks! May 5th 2011, 09:17...
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Intermediation in corruption markets Gautam Bose Shubhashis November 2008 Intermediation in corruption markets Gautam Bose School of Econo...
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Process A and Process B Each Start at Any Time Throughout the Day January 11th 2012, 11:24 AM #1 Member Joined Oct 2010 Posts 150 Process A and Process B Each Start at Any Time Throughout the Day This isn't a homework question, but rather a question of personal interest: Some process A starts at a r...
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Finding the minimum value November 28th 2012, 07:02 PM #1 Member Joined Oct 2012 From san francisco Posts 92 Finding the minimum value Hey there I need some help with this problem Find the minimum value of absolute value of sinx + cosx + tanx + cotx + secx + cscx I've been trying to com...
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Estimating the mean of a truncated gaussian curve up vote 2 down vote favorite 2 Say I have a black box generating data samples, and I want to estimate the parameters of the black box from the samples. The black box works like this: it has a parameter m (a real number), and to generate a value v, it first generates v...
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Math Forum Discussions Math Forum Ask Dr. Math Discussions Internet Newsletter MathTools Teacher2Teacher Teacher Exchange Workshops Search All of the Math Forum: Views expressed in these public forums are not endorsed by Drexel University or The Math Forum. Math Forum » Discussions » Math Topics » geometry.pre-col...
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Invertible Functions Date: 06/06/2003 at 13:48:18 From: Jason Subject: Invertible Functions I ran across a problem while inverting functions that stumped me and I was hoping you would be able to explain it to me. Consider the following function as a function from R -> R (Real) and say whether the function is inverti...
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Wolfram Demonstrations Project Probability of a Union by the Principle of Inclusion-Exclusion This Demonstration calculates the probability that there is at least one element from each of at most six classes when a given number of elements is sampled without replacement from among all the elements. This probability ca...
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Proof of primes. April 25th 2009, 01:09 PM Showcase_22 Proof of primes. Quote: Prove that if $p_1,...,p_n$ are the primes up to $\sqrt{n}$, and if each $p_i$ does not divide n, then n is prime. My proof so far: $\frac{\sqrt{n}}{p_i}=ap_i+r$ where $a,r \in \mathbb{Z}-\{0\} \ , \ a,r eq 0$. $\f...
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L17_cosmology3 Cosmology • Scale factor • Cosmology à la Newton • Cosmology à la Einstein • Cosmological constant • SN and dark energy • Evolution of the Universe Scale Factor • Assume expansion of Universe is homogeneous and isotropic...
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Inverse Matrices February 26th 2009, 11:55 AM needshelp12 Inverse Matrices Hello Everyone, Really confused by this question, it might just be the wording of the question as a whole, but I was hoping someone would be able to give me some insight or clarification? If A, B and C are n x n invertible...
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Modulo proof July 16th 2008, 02:51 PM #1 Newbie Joined Jul 2008 Posts 13 Modulo proof Let n E Z. and supposed that 5 does not divide n. Prove that n^4 is congruent to 1 mod 5. Nothing fancy here. For example, $n \equiv 1~\text{ (mod 5)}$ so $n^4 \equiv (1)^4 \equiv 1~\text{ (mod 5)}$ ...
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Math Help March 13th 2008, 01:26 PM #1 Junior Member Joined Oct 2007 Posts 51 integration $<br /> <br /> \int x sin2x cos2x dx<br /> <br />$ i started of by making u=2x, du=x, which will cancel out the x and give me $<br /> \int sinucosu du<br /> <br />$ how would i go from here if u...
5
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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: using matlab least squares functions Replies: 0 ...
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§3.2: Subspaces and decision trees In this section we treat the domain of a boolean function as ${\mathbb F}_2^n$, an $n$-dimensional vector space over the field ${\mathbb F}_2$. As mentioned earlier, it can be natural to index the Fourier characters $\chi_S : {\mathbb F}_2^n \to \{-1,1\}$ not by subsets $S \subseteq ...
4
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Chapter 7 Continuous Probability Distributions True/False Questions T F 1. The Empirical Rule of probability can be applied to the uni...
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[SOLVED] Centripetal Force February 3rd 2009, 11:07 PM #1 [SOLVED] Centripetal Force A car navigates a turn in the road at 60 km/h without sliding. The road is inclined at an angle $\theta$. What does the coefficient of static friction need to be so that the car can take the turn at 90 km/h without skidding? ...
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The ants-on-a-ball problem up vote 25 down vote favorite 7 Suppose I put an ant in a tiny racecar on every face of a soccer ball. Each ant then drives around the edges of her face counterclockwise. The goal is to prove that two of the ants will eventually collide (provided they aren't allowed to stand still or go arbi...
4
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pre-calculus honors Posted by annemarie on Thursday, December 17, 2009 at 5:13pm. Generate a function that models the situation. Consider the type of function described—it is not linear! A shipping company charges $4 for the first pound and $3 for each additional pound or part thereof. As you try to come up with the...
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Asymptotes of Rational Functions January 31st 2007, 01:25 PM #1 Newbie Joined Jan 2007 Posts 10 Asymptotes of Rational Functions Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function. Do not graph. [1] R(x) = (6x^2 + x + 12)/(3x^2 - 5x - 2) [2] F(x) = (x - 1)/...
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How does the order of a pole of a zeta function indicate any geometric information? up vote 8 down vote favorite 3 Here, I'm primarily concerced about zeta functions of hypersurfaces over fields of finite characteristic. Assume $F_q$ to be a finite field with q elements. Consider the zeta function of the hypersurface...
4
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Calculating the Surface of a Tetrahedron December 13th 2010, 08:31 PM #1 Junior Member Joined May 2010 Posts 43 Calculating the Surface of a Tetrahedron I'm having trouble setting up the problem: Compute $\int\int_s xy dS$, where S is the surface of the tetrahedron with sides z = 0, y = 0, x + z = 1...
4
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Arc Length and Area Surface by revolution y=1/6(x³) + 1/(2x) , 1 ≤ x ≤ 2 I don't really understand how to solve this... arc length ... $<br /> S = \int_a^b \sqrt{1 + \left(\frac{dy}{dx}\right)^2} \, dx<br />$ surface area ... $<br /> A = \int_a^b r(x) \cdot \sqrt{1 + \left(\frac{dy}{dx}\right)^2} \, dx<br />$ where $r...
5
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Find the limit - unclear factorization April 17th 2013, 05:48 PM #1 Find the limit - unclear factorization I have a function for which I have to find the limit (the solution is provided): $\lim_{x \to -\infty} \frac{4x^{2} \sqrt{9x^{6} + 2x^{2}}}{x^{5} + 3}$ after evaluating the limit and proceeding to some ...
5
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Optimization Problem November 9th 2009, 05:16 PM #1 Junior Member Joined Sep 2009 Posts 32 Optimization Problem I worked through this problem; what did I do wrong? Thanks so much: A cone-shaped paper drinking cup is to be made to hold 30 cm3 of water. Find the height and radius of the cup that will ...
5
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Series and Sequences Part Two January 9th 2010, 03:33 AM #1 Junior Member Joined Nov 2009 Posts 45 Series and Sequences Part Two Insert 4 terms in geometric sequence between 3/8 and 128/81 Find a number which when added to each of -1,1 and 5 gives 3 terms in geometric sequence The sum of the fi...
4
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Parabolic Iteration, again 04/30/2008, 10:03 AM (This post was last modified: 05/01/2008 03:55 AM by andydude.) Post: #1 andydude Posts: 470 Long Time Fellow Joined: Aug 2007 Parabolic Iteration, again In a recent post I gave a forumla for the second diagonal of iterated-dxp (e^x-1) and this line...
4
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Any sum of 2 dice with equal probability up vote 7 down vote favorite 3 The question is the following: Can one create two nonidentical loaded 6-sided dice such that when one throws with both dice and sums their values the probability of any sum (from 2 to 12) is the same. I said nonidentical because its easy to verify...
5
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Single Ended Output Transformer - diyAudio Single Ended Output Transformer Hi Guys, I want to build EL34/6L6 SE guitar power amp, but I also want to wound OT. According to Valveheart, full calculation goes like this(for my example): Power P= 10W(3.6K EL34-6L6) Low freq response fd=82Hz Primary Impedance Ra=3600 Ohm Se...
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Distribution of Sample Means In this activity, we will explore the distribution of sample means taken from a parent distribution. Parent Distribution We are going to draw samples from a normal distribution having a mean of \( \mu=100 \) and a standard deviation \( \sigma=10 \). Let's begin by drawing a picture of th...
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[SOLVED] i need urgent help with application (word) problems!!! September 25th 2007, 04:09 PM #1 Newbie Joined Sep 2007 Posts 3 [SOLVED] i need urgent help with application (word) problems!!! hi i'm in grade 11 math and im exceed in failing at application questions. I can do all the regular stuff really ...
4
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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: sin^2 simplification in Maple Replies: 1 Last Post...
4
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Show function is differentiable over its domain September 20th 2009, 05:28 PM Alterah Show function is differentiable over its domain I need to show that: $F(x,y,z) = \frac{x + y + z}{x^2+y^2+z^2}$ is differentiable over its domain. The only point I see there being a problem at is when (x,y,z) = (0,0,0...
4
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42155
Maximizing Area & Differentials December 16th 2007, 06:06 PM #1 Newbie Joined Dec 2007 Posts 9 Maximizing Area & Differentials A window consists of an open rectangle topped by a semicircle and is to have a perimeter of 288 inches. Find the radius of the semicircle that will maximize the area of the windo...
5
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When does the Torelli Theorem hold? up vote 12 down vote favorite 3 The Torelli theorem states that the map $\mathcal{M}_g(\mathbb{C})\to \mathcal{A}_g(\mathbb{C})$ taking a curve to its Jacobian is injective. I've seen a couple of proofs, but all seem to rely on the ground field being $\mathbb{C}$ in some way. So: ...
4
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Euler Algebra and Prime numbers September 27th 2006, 05:39 AM #1 Newbie Joined Sep 2006 Posts 4 Euler Algebra and Prime numbers Hi I got two tasks which I have some trouble with. 1) A guy has 1770 dollars to shop food for. One bread costs 31 dollars and a jar of jam costs 21 dollars. ...
5
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download PowerPoint Presentation shuddering Fastflo computations for fluid-structure interactions CSIRO Mathematical and Information Sciences Clayton, Australia Fastflo Flexible finite element software for ...
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Probability What is Probability? The study of the chance associated with the occurrence of events. Two Types of Probability Two types of approaches to probabilit...
4
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Simple Harmonic Motion April 10th 2009, 10:44 PM slaypullingcat Simple Harmonic Motion Hi, there is a question in my text that has stumped me. I have looked throught the book and there is nothing simliar in the examples. Q, The period of a particle moving in SHM has a period of 6 seconds and an amplitude of ...
5
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Hydrostatic equilibrium Hydrostatic Equilibrium and the Homogeneous Atmosphere Hydrostatic equilibrium Basic ideas The principle of hydrostatic equilibrium is that the pressure at any point in a fluid at rest (whence, “hydrostatic”) is just due ...
4
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Solve exponential equations? March 3rd 2014, 04:11 PM #1 Newbie Joined Mar 2014 From Hell Posts 3 Solve exponential equations? Hey I was wondering if you could help me find the answer to some practice questions we were given. I have a quiz tomorrow morning but I'm not even sure if I'm doing it right....
4
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Compute E[X(X-1)] December 14th 2009, 01:39 AM zorro Compute E[X(X-1)] Question : A Binomial variate $X$ has the mean $6$ and standard deviation $\sqrt{2}$. Find its moment generating function. Hence obtain $E[e^{2X+3}]$. Also compute $E[X(X-1)]$ December 14th 2009, 02:37 AM mr fantastic Quote: Firs...
5
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Nonisomorphic number fields with the same Galois group and discriminant up vote 2 down vote favorite 3 It is possible for nonisomorphic fields to have the same discriminant, and even to be arithmetically equivalent, meaning with the same Dedekind zeta function. Previous questions which discussed this are "Number field...
5
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Vector field and flow April 28th 2009, 11:45 AM #1 Super Member Joined Jun 2008 Posts 829 Vector field and flow Vector field $F(x,y,z) = xi + 0j + zk$ and the cylinder obtained by rotation the straight $x=1, y=t, z=0$ with $-1 \leq t \leq 1$ around the OY axis. Determine the flow of the field F in the ...
4
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Homework Help Posted by Koia on Thursday, May 10, 2012 at 3:23am. A fair die is tossed and the number facing up is noted. If the probability of getting at least one ‘six’ is to exceed 0.9, how many times should the die be tossed. • Math - MathMate, Thursday, May 10, 2012 at 7:34am The geometric distribution gi...
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Tough ODE problem September 21st 2010, 03:20 PM #1 Newbie Joined Sep 2010 Posts 6 Tough ODE problem Solve the ODE: $\frac{dy}{dx}=-\frac{y}{\sqrt{a^2-y^2}}$ 3. The attempt at a solution My teacher hinted that the substitution $z^2=a^2-y^2$ could be helpful, but once I make the substitution...
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Range Date: 04/02/2002 at 14:08:23 From: Teresa Otworth Subject: Range If f(x) = x-3/x+3, I know the domain to be all Reals except for -3. The range, however, is all Reals except for 1. I don't know how they get the 1 algebraically. Thank you for your time. Teresa Otworth Date: 04/02/2002 at 17:08:26 From: Doctor...
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The Volume and the Surface Area of a Ellipsoidal CAP Abstract: In this thesis we wish to solve two problems.First we will obtain the volume and the surface area of a ellipsoidal cap.The standard equation of n+1-axis ellipsoid in n+1-dimensions Euclidean spaceE_(n+1)is where a_i>0,i=1,2,…,n+1.n≥1.Let x_i,(i=1,2,…,n+1)b...
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The "skinnest" object up vote 0 down vote favorite 1 The subgroup generated by a set is found by taking the intersection of all subgroups containing that set The field of fractions Q(D) of an integral domain D is the "smallest field containing D", informally we can think Q(D) as the intersection of all fields contain...
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Course on Automated Planning MDP _ POMDP Planning; Reinforcement Course on Automated Planning: MDP & POMDP Planning; Reinforcement Learning Hector Geffner ICREA & Universitat ...
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Greatest common divisor of a^{2^n}-1 and b^{2^n}-1 up vote 11 down vote favorite 3 Let a and b be coprime integers. Do we know, expect, or unexpect that there are infinitely many primes p which divide $gcd(a^{2^n} - 1, b^{2^n}-1)$ for some n? Certainly any Fermat prime will divide both if I let n get large enough, b...
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An algebra of "integrals" up vote 12 down vote favorite 4 When discussing divergent integrals with people, I got curious about the following: Is there an $\mathbb{R}$-algebra $A$ together with a map (could be defined on just a subspace) $$\int_0^{\infty}: C^{\infty}(\mathbb{R})--\to A$$ which behaves like integrati...
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Proof by Induction : Inequalities February 15th 2010, 08:10 AM #1 Junior Member Joined Jul 2009 Posts 69 Proof by Induction : Inequalities Proof by induction that $<br /> 1+ \frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1} {\sqrt{n}}< 2\sqrt{n}<br /> <br />$ K+1 Step $<br /> 1+ \frac{1}{\...
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CDMA cancellation o will Overview of Direct Sequence Spread Spectrum Code Division Multiple Access Prof. Dr. Essam Sourour 1 Overview of Presentation • Spread Spectrum techniques • Direct Sequence Spread Spectru...
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union of regular polygons up vote 9 down vote favorite 2 it is motivated by Density of congruence classes covered by a set Let say just "$n$-gon" for the set of vertices of a regular $n$-gon inscribed in a unit circle, "2-gon" for the set of two opposite points. is it true that for given positive integers $1 < b_1 <...
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Finding the Maximum Number of Areas May 31st 2012, 07:26 PM bubbletea999 Finding the Maximum Number of Areas Hi all, I originally posted this in the pre-university geometry forum without much luck, and since it's a puzzle I'll repost it here and hope that someone will take up the challenge! Basically, ...
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Lecture 28 PHY301 – Circuit Theory Virtual University PHY 301 LECTURE 28 Example: Find Norton equivalent circuit. Solution: Fi...
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Chi-square Analysis Frequency Distributions One important set of statistical tests allows us to test for deviations of observed frequencies from expected frequencies. To introduce these tests, we will start with a simple, non-biolo...
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Mechanics question- block on a wedge March 14th 2009, 08:40 AM #1 Junior Member Joined Mar 2009 Posts 34 Mechanics question- block on a wedge I was wondering if anyone could offer some help with the following question: A wedge with mass M rests on a frictionless horizontal table top. A block with ma...
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A number theoritic problem June 9th 2011, 09:17 PM #1 Please help me with a solution to the following problem,I've been trying this for somedays but is unable to approach it in any way... N1=2, N2=3, N3=5, N4=6 , ... , Ni=i-th non square integer. It is found that for some integer m, m^2< Nn <(m+1)^2 ...
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Patent US4275861 - Orientation of momentum stabilized vehicles This invention relates to angular momentum stabilized spacecraft and more particularly to the reorientation of such spacecraft from any attitude. Spacecraft are launched from ground based launch platforms and propelled or carried into space by launch vehic...
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SOSC Stats 2006 Cumulative Take Home Final 1-9 F2006 Name____________________________ SOSC 2225 Statistics for the Social Sciences Cumulative Final Ch 1-9 F2006 1. In social research the purpose of statistics is to a. prove that the research theory is correct b. validate the research project design c. manipulate a...
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Why are Operations of Zero so Strange? Date: 03/17/97 at 21:01:38 From: Jonah Knobler Subject: Why are Operations of Zero so Strange? I am a student in an Algebra II class, and I'm still somewhat naive about stuff like division by zero. 1) Why do we say things like 1/0 are undefined? Can't you call 1/0 infinity an...
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Binomial Theorem proof June 29th 2010, 08:37 AM minicooper58 Binomial Theorem proof Hi this question was in Advanced Higher Maths in the UK Show that (n+1 , 3) - (n ,3 )=(n ,2) They are written in column vector form ie n+1 at top and 3 at the bottom for example for the first. I think you have to use the ...
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Method, system, and computer program product for calculating daily weighted averages of glucose measurements (or derived quantities) with time-based weights Patent application title: Method, system, and computer program product for calculating daily weighted averages of glucose measurements (or derived quantiti...
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sum prove If $U_n=\frac{1}{(2n+1)(2n+3)}$, prove that $<br /> U_{n-1}-U_n=\frac{4}{(2n-1)(2n+1)(2n+3)}<br />$ Thanks . $U_n = \frac{1}{(2n+1)(2n+3)}$ $u_{n-1}$ is the point when considering a value one less than $n$ thus the expression is found (for $n-1$) when we substitute $n=n-1$. $U_{n-1} = \frac{1}{(2(n-1)+1)(2 (...
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A Theorem in Intersection theory. up vote 1 down vote favorite 2 Fulton's Book on intersection theory (Pg.223, theorem 12.3) asserts the following result: For r pure dimensional schemes in P^n, whose co-dimensions add to at most n, the product of their degrees is at least as great as the sum of the degrees of the irr...
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Ergodicity of Convoluted White Noise up vote 3 down vote favorite 3 I have a question regarding ergodicity in infinite dimensional spaces. Let $\mathcal{D}$ be the space of distributions on a Schwartz space, and let $\mu$ be the white noise process which exists by the Bochner-Minlos theorem. We can define the transl...
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Math Forum Discussions - Re: From Fermat little theorem to Fermat Last Theorem Date: Dec 29, 2012 6:00 AM Author: John Jens Subject: Re: From Fermat little theorem to Fermat Last Theorem If a > p ... So we can?t find naturals 0<a?b<c with a<p with p odd prime to satisfy a^p+b^p=c^p. We can extend this to a , b , c ra...
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Which groups admit a unique Lie group structure? up vote 5 down vote favorite 5 This question is a follow-up on the answer given here Can a Lie group as an abstract group be given more than one topology making it a Lie group? It is motivated by the following observations: 1. If $m,n$ are positive integers, then $\m...
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Existence of a compactification of $\mathbb{R}$ with $\aleph_0$ remainder up vote 5 down vote favorite We now that the space $\mathbb{R}$ has compactifications with one point reminder, and two point reminder. but there is no compactification of $\mathbb{R}$ with three point reminder and the same holds for every finite...
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behavior of places of a function field under automorphism up vote 2 down vote favorite 1 if $P_{1}$ and $P_{2}$ are distinct places of equal degree of the function field F/K, and $\sigma$ is a K-field automorphism, such that $\sigma(P_{1})=P_{2}$. then, does $\deg (P_{1}\cap K(x))=\deg (P_{2}\cap K(x))$, where K(x) is...
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What I Do When I’m Not Doing This BlogWhat I Do When I'm Not Doing This Blog From the department of self-promotion, let me call attention to the current volume of The Electronic Journal of Combinatorics. If you click on the link and scroll down to P164, you will find a barn-burning, rhetorical masterpiece of a paper en...
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Choice of Lipschitz constant for proximal gradient optimization up vote 2 down vote favorite 2 I'm trying to use proximal gradient methods (Forward-Backwards Splitting and FISTA) to minimize a function $f(B) = \frac{1}{2}|| XB - Y||_F^2 + \frac{\gamma}{2}||B C^T||_F^2$, where $X \in \mathbb{R}^{N \times p}, Y \in \ma...
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trigonomerty - modelling and problem solving April 6th 2013, 10:01 PM #1 Junior Member Joined Jan 2013 From Gold coast Posts 30 trigonomerty - modelling and problem solving Three points A, B and C are on a horizontal line such that AB = 70m and BC = 35m. The angles of elevation of the top of the towe...
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Number of Maximal Left Ideals up vote 6 down vote favorite In THIS PROBLEM it is proved that for any non-zero ring $R$ with identity, $R[x]$ has an infinite number of maximal left ideals. Is it possible for an uncountable non-zero ring $R$ with identity, $R [x]$ has only a countable number of maximal left ideals ?? ...
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Projectile motion question March 14th 2010, 06:13 PM #1 Newbie Joined Mar 2010 Posts 1 I'm having trouble with a Yr.12 Maths C question on projectile motion (I hope this is the right section to post it) The question is: when a child standing on a horizontal path throws a ball, it leaves her hand from...
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