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Using Laplace to solve a differential equation March 24th 2012, 06:47 AM sim907 Using Laplace to solve a differential equation Use Laplace to solve x''+3x'+5x=sin(8t) Initial conditions x(0)= 2 and x'(0)= -3 I have worked it down to (s^2+3s+5)X(s)= 2s+3+ [8/(s^2+64)] but stuck. Please help March 24th 2...
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Unique Linear Functionals September 8th 2011, 12:20 PM jnava Unique Linear Functionals I am working on the following... Let 𝐵 = { ${\bf v}_1,{\bf v}_2,...,{\bf v}_n$} be a basis for vector space 𝔙 . Show that there is a unique linear functional $v_\imath ^{\ast}$ on 𝔙, such that $v_\imath ^{\ast} ({\...
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A Mixing Problem.... January 27th 2011, 06:01 PM slapmaxwell1 A Mixing Problem.... ok here is a mixing problem that i tried to do, it seems pretty straight forward. Could someone take a look and let me know where i went wrong? thanks in advance... Suppose that a large mixing tank initailly holds 500 liters...
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SAS with Laws of Sine and Cosine December 5th 2010, 11:35 AM #1 Junior Member Joined Jan 2010 Posts 66 SAS with Laws of Sine and Cosine Hello. I had to solve the following triangle using Law of Sines / Cosines: b = 6 c = 13 alpha = 16 degrees The first time I solved the triangle, I firs...
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Kernel of a group action October 19th 2011, 02:53 AM Bernhard Kernel of a group action Dummit and Foote Section 1.7 Group Actions - Exercise 4 is as follows: Let G be a group acting on a set A and fix some a $\in$ A. Show that the following sets are subgroups of G: (a) the kernel of the action (...
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carmichael numbers January 14th 2007, 09:05 PM #1 Member Joined Nov 2006 Posts 123 question Suppose that p, 2p-1, 3p-2 are all primes, with p>3 . Prove that p(2p-1)(3p-2) is a Carmichael number. Find the smallest Carmichael number of this form. Thank you very much. First I need to explain w...
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Quick UCC Question March 29th 2010, 01:48 PM BlackBlaze Quick UCC Question Say I bought something in year 1 for $30 000 and then in year 3, I buy something else for $20 000, with a CCA rate of 30% for all items. What would the base and remaining undepreciated captial cost be for year 4? So, first, to ge...
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Rotation aorund x-axis (volume) November 19th 2008, 08:48 AM #1 Junior Member Joined Oct 2008 Posts 51 Rotation aorund x-axis (volume) Ok, this one is stumping me, I keep getting negative volume. find the volume of the solid generated by revolving the region enclosed by the triangle with verticies (...
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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: Cashflow and TimeValue Question Replies: 2 Last Po...
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Water slide~ Parabola question November 11th 2009, 04:58 PM #1 Newbie Joined Nov 2009 Posts 7 Water slide~ Parabola question It's kind of a word problem that includes a graph, however it prominently just loses me completely. Andrew has designed a new water slide as shown below. H and x in metres. It...
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Trace of a tensor product March 25th 2010, 07:25 AM #1 Trace of a tensor product I was just wondering if anyone knew of a neat proof of the fact that $Tr(A \otimes B) = Tr(A)Tr(B)$ for $A$ and $B$ matrices. The trace on the n×n matrices is the unique linear functional satisfying the conditions (1) $\text{Tr}...
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Shortest Distance between a Point and a Circle Date: 1/22/96 at 10:14:18 From: Anonymous Subject: Calculus Problem: Find the shortest distance between the point (4,5) and the circumference of x^2 + y^2 = 9. The problem involves finding the derivative and then letting that equal zero to find the minimum. Where I'm...
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Translating September 18th 2012, 09:12 PM #1 Newbie Joined Sep 2012 From USA Posts 19 Translating if the difference of a number and four is doubled the result is 1/4 less than the number. Find the number Re: Translating You can see that you have one variable, the number, let x be the unknown nu...
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Area of Rectangle inside graph January 1st 2009, 02:38 PM #1 Area of Rectangle inside graph So I got the answer to this question but it seems a little iffy. If someone could just double check my work, that would be wonderful. I am not sure if this matters, but the level of math in this question is AP Calc-AB...
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Triangle PQR... May 25th 2009, 12:58 PM foreverbrokenpromises Triangle PQR... In triangle PQR, <p = 30 degrees <Q = 80 degrees <R = 70 degreees QH is an altitude and RM is a median and H is on the line PR, the measure of <MHP is: a) 15 degrees or 20 degrees or 30 degrees or 40 degrees or 45 ...
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Math Forum Discussions Rupert Posts: 3,806 Registered: 12/6/04 Re: Problem understanding proof of Jordan Curve Theorem Posted: Jul 10, 2013 4:41 AM On Wednesday, July 10, 2013 10:31:29 AM UTC+2, peps...@gmail.com wrote: > On Wednesday, July 10, 2013 9:06:49 AM UTC+1, Rupert wrote: > > > On Tuesday, July 9, 2013 11:56...
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Which commutative algebras admit a nonzero Poisson bracket? up vote 5 down vote favorite 2 Let $A$ be a commutative algebra, not necessarily unital, over a field $k$ (of characteristic not equal to $2$, or even equal to $0$, if it helps). A second-order formal deformation of $A$ is a $k[h] /h^3$-bilinear associative p...
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Find the Path and the Time Taken Date: 10/17/2001 at 07:29:43 From: Mike Poulton Subject: Vectors and calculus A man wants to cross a river 500m wide. His rowing speed (relative to the water) is 3000 m/hr. The river flows at a speed of 1200 m/hr. If the man's walking speed on shore is 5000m/hr, find (a) the path (c...
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Vectors: Finding coefficients to scalars with given vectors. January 22nd 2011, 11:06 PM Formula91 Vectors: Finding coefficients to scalars with given vectors. The problem gives three vectors: a=<4,3>, b=<4,-1>, and c=<6,2>. Using the equation c=sa+tb, with s and t as scalars, I'm supposed to find the exact ...
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Principal or Interest? Date: 08/08/2002 at 07:18:31 From: S. Jackson Subject: New Car Loan If I have a new car loan for $20,000 at 9% simple interest, how do I calculate how much of that monthly payment is going to the principal versus the interest? I plan on making additional principal payments monthly and want to k...
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[SOLVED] Help simplify this hyperbolic trig function February 22nd 2010, 10:46 PM downthesun01 [SOLVED] Help simplify this hyperbolic trig function This should be really easy, but I'm not getting it for whatever reason $\sqrt{sinh^2(t) - cosh^2(t) + 1^2}$ The answer should be $\sqrt{2}cosh(t)$ But I do...
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Optimization problem April 26th 2010, 07:35 AM Zion Optimization problem Hello, I am stuck on a problem and need a bit of help. An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of ...
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trig identities September 1st 2010, 12:36 PM jayshizwiz trig identities (of course I forgot all my high school trig...) The problem states to find the general solution: $sin^2 (x-30) = sin^2 2x$ I assume since both sides are sin^2, I can just say x-30 = 2x... x=-30. That is all I know how ...
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another solution to PDE possible? up vote 1 down vote favorite 2 hi there, i have the following pde: $$(\partial_x x^4 \partial_x - \partial_t^2)y(x,t)=0$$ and found the solution $$y=a+t^2-1/x^2$$, with a a constant. Is this solution unique? Does anyone know of any other solution, tricks to generate other solutions? T...
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Brown-Grossman homotopy group Context Homotopy theory Background Variations Definitions Paths and cylinders Homotopy groups Theorems Contents Idea: use a string of spheres not just one! Within the context of proper homotopy theory, what might be the analogues of the classical homotopy groups? We might hope th...
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Modeling the Aneuploidy Control of Cancer Abstract Background Aneuploidy has long been recognized to be associated with cancer. A growing body of evidence suggests that tumorigenesis, the formation of new tumors, can be attributed to some extent to errors occurring at the mitotic checkpoint, a major cell cycle contro...
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Comparison for formal local cohomology up vote 3 down vote favorite 1 Let $(R, \mathfrak{m})$ be a local ring and $X = Spec(R)$. Let $Y = V(I)$ be a closed subscheme of $X$, defined by an ideal $I \subset R$, and let $P \in X$ (in fact, $P \in Y$) be the closed point. Let $(\hat{X}, \mathcal{O}_{\hat{X}})$ be the form...
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questions need answers November 1st 2007, 02:36 PM compufatwa questions need answers 20. if (A∩B∩C)≠0 and P(C|A∩B)=P(C|B) , show that : P(A|B∩C)=P(A|B) -------------------------------------------------------------------------- 21 . suppose that A,B and c are independent events .show that i. A and (...
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Help with inequalities May 25th 2008, 05:07 PM lizann Help with inequalities Yes, it's me again and I need more help. This time I couldn't do anything with this problem because I really did not understand this one. Here is the problem: (x+6)(x-16)(x+5)>0; The solution set is (xl ). May 25th 2008, 05:19 PM ...
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Geometric sequences March 16th 2013, 06:24 PM #1 Newbie Joined Mar 2013 From Australia Posts 1 Geometric sequences im really stuck on this question. The sum of the first 4 terms ofa geometric series is 30, and the sum of the infinite series is 32. Find the first 3 terms. i know i have to fi...
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Arithmetic Series October 22nd 2005, 05:47 AM Confuzzled? Arithmetic Series Can someone help me on a few questions which I got stuck on and show me how you got the answer? 1. Evaluate: Sigma sign n on the top, 1 underneath then in the middle 2r-7. 2. The first term of an aritmetic series is 14. The com...
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Vector Proof September 7th 2009, 06:10 PM #1 Junior Member Joined Aug 2009 Posts 25 Vector Proof Show that for any two nonzero vectors u and v, the vectors x = |v|u + |u|v and y = |v|u - |u|v are perpendicular. I hope you're familiar with the matrix notation of vectors... Let $u = [a, b]$ and $...
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Subgroups of S4 May 10th 2010, 06:31 PM nhk Subgroups of S4 Find all the 3-Sylow subgroups of S4. I am having a real hard time getting the idea behind Sylow subgroups. Can someone help me with this please? May 12th 2010, 02:31 AM TheArtofSymmetry Quote: I'll assume S4 as the symmetric group of degre...
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Quadrilateral ABCD October 24th 2008, 03:00 AM #1 Quadrilateral ABCD Let ABCD be a quadrilateral in which AB is parallel to CD and perpendicular to AD; AB=3CD; and the area of the quadrilateral is 4. If a circle can be drawn touching all the sides of the quadrilateral, find its radius. Unfortunately I ca...
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Math Forum Discussions Re: FLT Discussion: Simplifying Posted: Jan 17, 2001 4:33 AM jstevh@my-deja.com wrote: > > In article <940akc$d9p$1@nntp.Stanford.EDU>, > Michael Hochster <michael@rgmiller.Stanford.EDU> wrote: > > > > : Given x^2 + y^2 = 0, x and y nonzero integers, show that no solution > > : exists. > > > >...
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Math Forum Discussions - Einstein's factor of 2 in starlight deflection Date: Aug 20, 2011 1:45 PM Author: h.jones Subject: Einstein's factor of 2 in starlight deflection Einstein's original formula for deflection of light skimming the Sun's surface breaks down to 2GM/Rc^2. This is merely the Schwarzschild radius div...
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Problem with Root November 16th 2009, 08:03 PM hovermet Problem with Root I don't understand how 3√2 = to √18.. and how to get rid of the root to become 3 x 2. Can anyone show me a few more examples also? Thank You November 17th 2009, 01:55 AM Grandad Hello hovermet Quote: Two things you ne...
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Probability problem July 10th 2006, 04:25 AM #1 Newbie Joined Jun 2006 Posts 4 Probability problem 1> A company manufactures a product which consists of 2 parts, part A and part B. If 8 out of 100 are likely to be defective in part A, similarly 6 out of 100 are to be defective for part B. Calculate t...
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Vector question. November 3rd 2010, 10:20 AM #1 Junior Member Joined Dec 2008 Posts 68 Vector question. A,B,C and D are points of the plane 1)show that :vector 2DA+vector 3DB = zero vector then AD vector = 3/5 AB vector Last edited by mr fantastic; November 3rd 2010 at 02:29 PM. Reason: Re-t...
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What are the boundary conditions? Consider the heat equation in a radially symmetric sphere of radius unity: $u_t = u_{rr}+{2 \over r}u_r \ for \ (r,t) \in (0,1) x (0,\infty)$ with boundary conditions $\lim_{r \rightarrow 0}u(r,t) < \infty ; \ u(1,t)=0\ for \ t >0$ Now, using separation of variables $u...
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Polynomial questions 1. solve 3x^3-20x^2+33x-14<0 2. Find the formula of this graph http://imageshack.us/m/841/9836/graphz.jpg 1. $(3x-2)(x^2-6x+7)<0$ $(3x-2)[x-(3-\sqrt{2})][x-(3+\sqrt{2})]<0$ $(x-\frac{2}{3})[x-(3-\sqrt{2})][x-(3+\sqrt{2})]<0$ So $\frac{2}{3} , 3+\sqrt{2} , 3-\sqrt{2}$ are the points of interest. $3...
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Kernal and Image of a Linear Transformation October 15th 2008, 04:17 PM #1 Member Joined Oct 2008 Posts 77 Thanks 1 Kernal and Image of a Linear Transformation Given $\{v_1, ... ,v_n\}$ in a vector space $V$, define $T: \mathbb{R}^n \rightarrow V$ by $T(r_1, ..., r_n) = r_1v_1+...+r_nv_n$ Show t...
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Another friggin problem with series... January 28th 2008, 09:25 AM #1 Member Joined Sep 2007 Posts 94 Another problem with series... This series section is really bugging me. Am I allowed to use the word friggin? I can't get an answer that makes sense for n!/100^n with the Riemann symbol in front. I try ...
5
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Complex Analytic Functions Date: 12/08/98 at 10:12:28 From: 10ecgal Subject: Complex Analytic Functions Dr. Math, I am trying to find out if abs(z)*(conjugate z) is analytic and where, but I have gotten stuck. I know that since z = x + iy, then abs(z) = sqrt(x^2 + y^2) and (conjugate z) = x - iy And: abs(...
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Find quadratic equation through roots June 29th 2013, 09:26 AM #1 Member Joined Jan 2011 Posts 104 Find quadratic equation through roots Question: Given that (alpha) and (beta) are roots of the quadratic equation 6x - 3x^2 = 4, find the equation whose roots are square root (alpha) and square root (be...
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Subgroup of order 4 March 20th 2013, 10:57 PM MAX09 Subgroup of order 4 I just wanna know if the following proof is okay for my assignment problem. Question: Prove that an abelian group with 2 elements of order 2, must have a subgroup of order 4. Proof: Let a,b belong to G such that a^2 = b^2 = e. ...
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Homework Help Posted by Anonymous on Sunday, November 4, 2012 at 11:26pm. At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 3 PM? (Note: 1 knot is a speed of 1 nautical m...
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Differentiable function on Rn May 13th 2010, 05:29 PM #1 Newbie Joined May 2010 Posts 3 Differentiable function on Rn (I moved this from the calculus section) Hi, I have a past tier exam problem which I would like to check my solution for. The question: Let p be real. Suppose $f:\mathbb{R}^...
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[SOLVED] Laurent series May 16th 2010, 07:13 AM #1 Junior Member Joined Dec 2009 Posts 48 [SOLVED] Laurent series Hello, I want to calculate laurent series and its convergence radius of: $f(z)=\frac{1}{sin({\pi z})}$ Here it is what i've done, I'm not sure if we can do it in this way: $si...
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exponential growth November 3rd 2008, 04:07 PM #1 Newbie Joined Nov 2008 Posts 1 exponential growth The number of bacteria doubles every 3.5 hours. How many hours does it take for a culture of bacteria to increase from 864 to 442368? This is a question about exponential growth. If N(t) is the number...
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Combining p-adic metrics May 22nd 2014, 09:38 AM #1 MHF Contributor Joined Nov 2010 Posts 1,841 Thanks 709 Combining p-adic metrics Let $p,q$ be two prime numbers. Define $d:\mathbb{Q} \times \mathbb{Q} \to [0,\infty)$ by $d(x,y) = \max\{|x-y|_p,|x-y|_q\}$. Is there an algebraic analogue to the compl...
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Limit and Chain Rule Questions October 13th 2008, 04:42 PM #1 Junior Member Joined Sep 2008 Posts 48 Limit and Chain Rule Questions Hi, can someone help me with this? lim x->0 $\frac{x-tan(4x)}{sin(4x)}$ I tried multiplying by the conjugate then using the trig identity for tan, but I got a bunc...
5
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help needed maximum volume October 12th 2006, 12:36 PM #1 Newbie Joined Oct 2006 Posts 8 help needed maximum volume an open rectangular box is made from a square sheet of cardboard of length & width 0.5m by removing a square from each corner and joining the cut edges . Find the maximum volume of the box ...
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Math ms sue please help again Posted by Gabby on Wednesday, February 13, 2013 at 7:24pm. Jim has designed a rectangle with an area of 100 square feet and a perimeter of 401 feet. What are the dimensions of Jim's rectangle?please show me how u got the answer. • Math ms sue please help again - Ms. Sue, Wednesday, Fe...
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Weyl group of a singular torus up vote 3 down vote favorite 1 Let $G$ be a semisimple algebraic group over an algebraically closed field, and let $T$ be a torus in $G$. If $T$ is a maximal torus, then $N_G(T)/Z_G(T)=N_G(T)/T$ is the Weyl group $W$ of $G$. If $T$ is not maximal, then what can be said aboug the "Weyl g...
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Math Help August 26th 2008, 06:42 PM #1 Junior Member Joined Jun 2008 Posts 39 u-substitution $\int (3x+1)^5\ dx \ \mbox{limits - lower} (-1), \mbox{upper -} \ (1 )<br /> \mbox{answer I get is 2080/3 \ is this correct?}$ also - is there a way to write limits on the integral line? nope, sorry. ...
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1 Last Question on Taylor Polynomials March 5th 2008, 08:28 PM larson 1 Last Question on Taylor Polynomials I was able to understand all of the questions (after your guys' help, once again, thank you very much) up until this one which kind of reverses the question: Suppose that f is a function such that $f(...
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Math Help Calculate the volume of the tetrahedron limited by the plan $n1: 3x+2y-4z-12=0$ and plans for coordinated. Answer: 12 I think you are asking for the volume of the tetrahedron bounded by $n_1$ and the coordinate planes? If so, one vertex will be at the origin, and the other three will be located at the point...
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ath July 8th 2007, 12:26 AM #1 Junior Member Joined Jul 2007 Posts 30 regression I do not even know where to begin with this problem...please help. I am in intermediate algebra, summer session, which is moving quite fast. It seems as if there is no time for understanding. Please explain how would I ...
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Breaking down an impartial game into Nim equivalent up vote 0 down vote favorite This is the game: The playing field consists of permutation of numbers. The players take turns playing the game. Each player removes single number from the sequence. The game is finished when the remaining sequence is in increasing order...
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linear equations July 27th 2008, 07:22 PM #1 linear equations this is the question John bought 3 shirts and 4 pairs of socks for $78. Joan bought 2 shirts and 6 pairs of socks for $72. Letting $x equal the price of a shirt and $y equal the price of a pair of socks, write a linear equation to represe...
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Orthogonal complement of a Hilbert Space May 16th 2011, 03:14 PM #1 Newbie Joined Sep 2009 From Athens, Greece Posts 20 Orthogonal complement of a Hilbert Space Could someone explain me why, given a hilbert space, its orthogonal complement is always the one-element set containing 0, i.e. $H^\bot=\lef...
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measurein mathematics, generalization of the concepts of length and area to arbitrary sets of points not composed of intervals or rectangles. Abstractly, a measure is any rule for associating with a set a number that retains the ordinary measurement properties of always being nonnegative and such that the sum of the pa...
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Residues at simple poles December 1st 2009, 04:00 AM #1 Newbie Joined Dec 2009 Posts 3 Residues at simple poles Hi folks, Having real problems with a complex analysis homework. can the residue of a complex function at a simple pole be 0? ie for g(z)= sin(z)/z i think the pole is just 0 of order...
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The first thing you should know about matrices. When you look at NumPy, Python’s numerical library, the first object you will encounter is the ndarray, or n-dimensional array. Also known as a matrix, right? Wait, there is also a matrix class in the linalg submodule, that can’t be right. And worse, matrix is not nearly...
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Finding functions. July 2nd 2013, 01:10 PM #1 Newbie Joined Apr 2013 From Bogotá-Colombia Posts 17 Finding functions. Hi. I have a problem. I don't know how to solve these kind of equations...and I don't know if the info is enough to solve them...could you help me? Find f(x) given: $f(-3x^2-...
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derivative,in mathematics, the rate of change , or instantaneous velocity, of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations. In general, scientists observe changing systems (dynamical systems) to obtain the rate of change of some va...
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omega-Commuting matrices vs Stone-von Neumann Theorem up vote 2 down vote favorite 1 Let me first recall the Stone-von Neumann theorem that if two one-parameter groups of unitary operators $U_t$ and $V_s$ over a Hilbert space satisfy $U_tV_s=e^{ist}V_sU_t$ for every $s,t\in{\mathbb R}$ (Weyl relations), then their gen...
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New formula for counting SSYTs? up vote 1 down vote favorite I have a proof that given a partition $\lambda=(\lambda_1,\dots,\lambda_l)$ then the number of semi-standard Young tableaux of shape $\lambda$ with entries in $1,2,\dots, n$ is given by $$\frac{1}{1!2!\cdots (n-1)!} \prod_{1\leq i\lt j\leq n} (\lambda_i-i)-...
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differentiation and intergration of sinx/x and d/dt P(t)=P`(t) September 6th 2009, 09:22 PM toumah12 differentiation and intergration of sinx/x and d/dt P(t)=P`(t) (1) problem differentiation [intergration of sint/t], limit from 0 to x^2 let say f(t)=t, F(t)=t^2/2, if f(t)=sint/t, F(t)=intergration of ...
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3 questions that I need help on? September 26th 2006, 03:51 PM #1 Newbie Joined Sep 2006 Posts 5 3 questions that I need help on? You don't need to answer all the questions one is enough. I need this by tomorrow morning if possible. How do I find all the asymptotes (oblique, vertical, horizontal) of...
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Noether Rings Date: 10/01/97 at 22:01:47 From: kay gribben Subject: Noether rings What are Noether rings and how do they work? Date: 02/03/98 at 15:15:58 From: Doctor Sonya Subject: Re: Noether rings Dear Kay, Sorry it took us so long to answer your question. We hope you have found out what Noether Rings are by ...
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working backwards - cubics December 16th 2006, 08:13 PM shenton working backwards - cubics Write an equation that has the following roots: 2, -1, 5 Answer key: x^3 - 6x^2 + 3x + 10 = 0 For quadratic equations, I use the sum and product of roots, this is a cubic equation, how do I solve this? Thank...
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3 Questions on Circle December 31st 2005, 08:49 AM ling_c_0202 3 Questions on Circle In circle1.jpg, DB is a diameter of the circle, AC = BC and ∠DAC = 23∘ . Find ∠ABD. In circle2.jpg, AD is the diameter of the circle If AB = BC = CD, find x + y + z. In circle3.jpg, In the fig...
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Prove this limit If a function f is continuous at x0, then its limit as x -> x0 is f(x0). Using what "basis"? If you know about "continuous functions" and in particular that all polynomials are continous for all values of x then it is sufficient to say, as emakarov does, that the limit is $(1)^2-2(1)+ 4= 1- 2+ 4= 3$. ...
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Geometric probability. May 7th 2009, 02:58 PM vince5002001 Geometric probability. Half of a circle is inside a square and half is outside, as shown. If a point is selected at random inside the square, find the probability that the point is not inside the circle. (r is the radius) http://i334.photobucket...
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A 10 minute tutorial for solving Math problems with Maxima Posted by Antonio Cangiano in Essential Math , Software on June 4th, 2007 | 133 responses About 50,000 people read my article 3 awesome free Math programs. Chances are that at least some of them downloaded and installed Maxima. If you are one of them but ...
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gcd property July 22nd 2011, 01:19 AM jozou gcd property Suppose $gcd(a, b) = 1$. Prove $gcd(c, b)$ divides $gcd(ac, b)$. Attempt: Let $x = gcd(c, b)$, $y = gcd(ac, b)$. Then $\exists r_1, r_2$, s.t. $b = x . r_1$, $b = y . r_2$. Hence $y = x . r_1/r_2$. I’m stuck after this, because I can’t show that ...
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Roughness Volume 1, Issue 2 - Year 2012 - Pages 66-71 View PDF (Full-text) DOI: 10.11159/ijmem.2012.008 Linked References ...
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Packing Pennies in a Jar Date: 06/08/99 at 09:55:41 From: Greg Gibson Subject: Surface Area Question What is the area of a penny? If a jar has a height of 11 inches and a radius of 7 inches and it is full of pennies evenly to the top, how many pennies can fit in this jar? I don't have anything with which to measure ...
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s Comparing group means to a control group mean Rutherford (2001, p.90) mentions that comparing two or more conditions which have had the same value differenced from them (e.g. a control group score) induces a correlation of 0.5 between these conditions (see here.) This is something which is not assumed in between s...
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Real Anlysis: Cauchy 1 you now that both $(a_n)$ and $(b_n)$ are Cauchy, so given that $m,n>N\in\mathbb{N}$ and $\epsilon >0$ we have that $\|a_n-a_m\|<\frac{\epsilon}{2}$ and $\|b_n-b_m\|<\frac{\epsilon}{2}$ whenever $m,n>N$ now you need to look at $\|c_n-c_m\|=\| |a_n-b_n|-|a_m-b_m|\|$ and you need to show that (usin...
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Eight Circles, Sum is 13 Date: 09/25/2002 at 11:21:37 From: Trevor Callahan Subject: Sum of Thirteen Place the numbers 1,2,3,4,5,6,7,8 in the eight circles so that the sum of the numbers in any line equals 13. O O O O O O O O There are two different solution...
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Primes $p$ for which $pk+1$ is prime for small $k$ (or approximating Sophie Germain) up vote 7 down vote favorite 1 The twin prime conjecture says there are infinitely many pairs $p,p+2$ that are both prime, and although we still don't know whether it's true there's been a lot of progress recently showing that there a...
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Deriving the Put-Call Parity March 29th 2010, 08:34 AM #1 Deriving the Put-Call Parity An underlying asset with price process $\{S_t\}_{t \in J}$ , where $J = \{0 \Delta t, 2\Delta t, \dots, T\}$ as both a European put and a European call option contract with the same strike price $K$ and maturity $T$ writte...
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Law of cooling problem April 29th 2010, 07:57 AM billbarber Law of cooling problem I am going to use Uo for u nought A cup of coffee has a temperature of Uo when freshly poured. Then it has cooled to 60 C after 1 min and to 40 C after 2 min. Also the room temperature is 20 C. The temperature u(t) of the cof...
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What is so Geometric about the Geometric Series Behold the picture: Exhibit number 2, details on Wikipedia: Exhibit number 3, calculation of the area under a power curve by Fermat, pilfered from Analysis by Its History, by E.Hairer and G.Wanner (Springer 1996), Sect. I.3, pp. 33-34: From this picture it looks like ...
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at Statistics::Distributions - Perl module for calculating critical values and upper probabilities of common statistical distributions use Statistics::Distributions; $chis=Statistics::Distributions::chisqrdistr (2,.05); print "Chi-squared-crit (2 degrees of freedom, 95th percentile " ."= 0.05 level) = $c...
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Degree of factor of resolvent up vote 1 down vote favorite As always with my questions this is not at research level, but the assertion is made in a research paper, plus no one's been able (or willing) to answer it over at MSE. Here is the original question, but I'll state it again. Let $f \in k[t]$ be a given separa...
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[SOLVED] Covariance of Brownian Motion March 9th 2009, 08:33 PM horan [SOLVED] Covariance of Brownian Motion Just a little confused about the following. Given that $W$ denotes a one-dimensional standard Brownian motion, find $Cov(W_t,W_s)$ Step 1: Assume that $s \leq t$, then $Cov(W_t,W_s)=E&#91;W_tW_s&...
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Log question 1. From the LHS of the equation you know $x = 9^{\log_9(x)}$ 2. Plug in this term into the RHS: $\frac12 \log_3\left({9^{\log_9(x)}}\right) = \frac12 \log_3(9) \cdot \log_9(x) = \frac12 \cdot 2 \cdot \log_9(x) = \log_9(x)$ 3. Consequently the given equation $\log_3(2x+1) = \log_9(5x^2-x+5)$ becomes $\log_3...
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Quadratics Problems September 15th 2008, 12:58 AM #1 Member Joined Sep 2008 Posts 114 Quadratics Problems Question No. 1 In a right angled triangle, the second to longest side is 5 cm longer than the shortest side, and the hypotenuse is three times longer than the shortest side. Find exact length of...
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Fundamental Theorem of Arithmetic... December 10th 2009, 02:50 PM #1 I am having a difficult time understanding this. I have a question I need to solve. Prove that if a divides bn and a,b are relatively prime then a divides n. If I understand correct, for an integer to be relatively prime means that gcd{...
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Injective, Surjective, and Bijective November 25th 2013, 07:07 AM Hartlw Injective, Surjective, and Bijective Given a mapping (function) f from A to f(A): Definition: f is injective if 1) x1=x2 -> f(x1)=f(x2) Ex: sqrt(4)=+2, sqrt(4)=-2 2) X1≠x2 -> f(x1)≠f(x2) Ex: 2^2=(4), (-2)^2=4 1) and 2) impl...
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logarithms April 16th 2008, 08:44 AM #1 Member Joined Dec 2007 Posts 80 Hey , im doing logarithms, and im stuck with this question, could you please explain to me how to do it...thank you Lol how daft am i lol I want to know how to go about these types of Q's express the following in terms ...
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Recursive and Explicit Formulas Date: 01/19/99 at 23:58:02 From: Dawn Ososke Subject: Recursive and Explicit formulas Is there an easy way to convert recursive formulas into explicit ones and vice versa? I've studied the examples in my pre-calculus book, but all of the examples are easy-to-solve problems, unlike the...
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[SciPy-User] helmert implementation (7 parameters - geometric transformation) [SciPy-User] helmert implementation (7 parameters - geometric transformation) Charles R Harris charlesr.harris@gmail.... Tue Mar 2 00:18:34 CST 2010 2010/3/1 Charles R Harris <charlesr.harris@gmail.com> > > > On Mon, Mar 1, 2010 at 6:17 PM...
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direction cosines/vector help April 6th 2008, 07:40 AM JennK direction cosines/vector help Hi everyone! I'm working on a vector question involving finding and proving direction cosines/sines/tangents of vector (a,b,c), u = magnitude I know: cos[alpha] = a/u, cos[beta] = b/u, cos[gamma] = c/u, and that c...
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Equilibrium Revenue October 21st 2007, 07:34 PM #1 Newbie Joined Oct 2007 Posts 10 Equilibrium Revenue Please Help. I have a midterm, and this is an example question of what might be on it. The manager of a CD store has found that if the price of CD is p(x)=80-x/6, then x CDs will be sold. Find an ...
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[SciPy-User] Troubles with odeint or ode ANDREA ARMAROLI rmrndr@unife... Tue Nov 3 13:04:57 CST 2009 Dear users, I'm trying to solve an ODE system that models a parametric oscillator with complex amplitudes at two freqencies. I'm new to python. This problem is simply solved in matlab using ode45. If I try to use o...
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