content
string
quality_label
int64
meta
string
all-MiniLM-L6-v2_embedding
list
doc_id
int64
unique_id
string
Calculus I: infinite series For what values of $0 < p \leq 1$ the alternating series $\sum_{n =1}^{\infty}(-1)^{n-1} \frac{\tan^{-1} n}{n^p}$ is convergent? Answer. It is convergent for all $p\in(0,1]$. Solution. Due to Leibniz rule, it suffices to prove that $f(t,p):=\frac{\mathrm{ArcTan(t)}}{t^{p}}$ is decreasing fo...
5
[ 0.0625, -0.000396728515625, 0.123046875, 0.0712890625, -0.038818359375, -0.01385498046875, 0.04150390625, 0.08544921875, 0.01019287109375, 0.01165771484375, -0.03857421875, 0.06982421875, -0.036376953125, -0.004119873046875, -0.06787109375, -0.10302734375, 0.02490234375, -0.140625,...
9,800
9800
second order DEs September 2nd 2006, 11:17 AM #1 Junior Member Joined Aug 2006 Posts 34 second order DEs i'm having trouble solving these two second order nonhomogenous DEs y"+6y'+9y=(e^-3x)/(x^2+1) and (D^2+a^2)y = cosbt where y'(0)=y(0)=0 and a and b are distict positive numbers ...
5
[ -0.0537109375, -0.0011138916015625, 0.0286865234375, -0.04052734375, 0.005401611328125, 0.0673828125, -0.0478515625, 0.05126953125, -0.000797271728515625, -0.01287841796875, 0.1337890625, -0.1025390625, -0.056396484375, -0.08056640625, 0.007537841796875, 0.004302978515625, -0.0275878...
9,801
9801
How to get this formula using trip functions February 26th 2009, 01:48 PM #1 Newbie Joined Feb 2009 Posts 4 How to get this formula using trip functions Hi, i got this homework problem i just can't figure out. I'm was given the formula S= sqrt((LD^2)/(L+D)). I must find out how that formula was derived u...
4
[ 0.039794921875, 0.033447265625, 0.09619140625, -0.043701171875, 0.059326171875, 0.07080078125, -0.07861328125, 0.115234375, 0.0303955078125, 0.033203125, 0.0732421875, -0.06298828125, -0.08837890625, 0.031982421875, 0.01324462890625, 0.01544189453125, 0.0027313232421875, 0.01574707...
9,802
9802
Decision Modeling and Optimization in Game Design, Part 2: Optimization Basics and Unrolling a Simulation This article is the second in a continuing series on the use of decision modeling and optimization techniques for game design. The full list of articles includes: The spreadsheet for this article can be downloaded ...
5
[ -0.0047607421875, 0.04638671875, -0.07275390625, -0.0380859375, -0.023681640625, -0.00171661376953125, -0.0244140625, 0.0196533203125, 0.0235595703125, 0.08984375, -0.06884765625, -0.005462646484375, 0.04541015625, 0.000247955322265625, 0.01019287109375, 0.042724609375, 0.07470703125...
9,803
9803
Puzzle July 7th 2010, 08:43 PM Chris11 Puzzle What is wrong with the following 'solution' to the following problem? Let ABCD be a square with side lengh of six. Circular arcs of radius six are drawn with centers at B and D. Find the area of the intersection of the areas in the square bounded by the arcs. ...
4
[ 0.0546875, 0.00927734375, 0.035888671875, 0.0205078125, -0.058837890625, -0.0159912109375, -0.05224609375, 0.057861328125, 0.031494140625, -0.0089111328125, -0.0654296875, 0.036865234375, 0.02294921875, 0.0001773834228515625, 0.0145263671875, 0.052490234375, -0.0712890625, -0.03173...
9,804
9804
Multivariable Calculus - Minimum value along a curve December 12th 2012, 01:09 PM Maedbh Multivariable Calculus - Minimum value along a curve 3. Let g(x,y)=x^2+y^3. (a) Find the directional derivative of g at the point (−3, 2) in the direction (3, 5). (b) Determine the tangent line to the curve g(x, y) ...
5
[ 0.016845703125, -0.0308837890625, 0.0098876953125, -0.0986328125, -0.0174560546875, -0.001708984375, 0.043212890625, 0.08203125, -0.0022430419921875, 0.006317138671875, 0.0004215240478515625, 0.04443359375, -0.004608154296875, 0.0093994140625, -0.072265625, 0.033203125, 0.00915527343...
9,805
9805
Must a ring which admits a Euclidean quadratic form be Euclidean? up vote 17 down vote favorite 5 The question is in the title, but employs some private terminology, so I had better explain. Let $R$ be an integral domain with fraction field $K$, and write $R^{\bullet}$ for $R \setminus \{0\}$. For my purposes here, a...
5
[ 0.0240478515625, -0.00628662109375, -0.146484375, -0.039306640625, -0.0245361328125, -0.039306640625, 0.07958984375, -0.0634765625, 0.012939453125, -0.07275390625, 0.0269775390625, 0.0419921875, 0.09423828125, 0.07373046875, -0.010498046875, 0.035400390625, 0.028076171875, 0.000469...
9,806
9806
Volume and surface area question?? September 4th 2008, 07:21 PM #1 Junior Member Joined Sep 2008 Posts 61 Volume and surface area question?? "The lateral edges of a regular hexagonal pyramid are all 20 cm long, and the base edges are all 16 cm long. To the nearest cc, whta is the volume of this pyramid? ...
4
[ 0.050048828125, 0.05322265625, -0.0036163330078125, -0.055419921875, -0.0693359375, -0.0216064453125, -0.0654296875, 0.1142578125, -0.08544921875, -0.00433349609375, -0.07763671875, -0.0211181640625, -0.0361328125, 0.06591796875, -0.05224609375, -0.00933837890625, -0.0269775390625, ...
9,807
9807
Please Help Urgent!! November 1st 2007, 08:11 PM #1 algebraIIgirl Guest Please Help Urgent!! This is a problem in my homework thats due tomorrow please hints? The Stratosphere Tower in Las Vegas is 921 feet tall and has a "needle" at the top that extends even higher into the air. A thrill ride called the Big...
4
[ 0.053466796875, 0.1328125, -0.025634765625, -0.06298828125, -0.0308837890625, 0.0299072265625, -0.053955078125, 0.08837890625, -0.1064453125, 0.0169677734375, 0.0277099609375, 0.0419921875, 0.046142578125, -0.01080322265625, -0.03271484375, 0.06787109375, 0.0267333984375, 0.0090942...
9,808
9808
Function f(6) ? August 23rd 2010, 05:49 AM #1 Function f(6) ? 1.) the function f(x) has the following properties: i) f(1) = 1 ii) f(2x) = 4f(x) + 6 iii) f(x+2) = f(x) + 12x + 12 calculate f(6) we need to calculate f(6). Since they defined f(x+2), we could calculate f(3). to calculate f(3) w...
4
[ -0.016845703125, 0.0299072265625, -0.0308837890625, -0.0242919921875, -0.03564453125, 0.00958251953125, 0.009765625, -0.002288818359375, 0.0013580322265625, 0.0291748046875, 0.00093841552734375, -0.02783203125, -0.036865234375, -0.030517578125, -0.0003185272216796875, 0.005340576171875...
9,809
9809
Writing the area of a rectangle as a function of an x-coordinate July 11th 2010, 08:18 PM #1 Senior Member Joined Apr 2010 Posts 487 Writing the area of a rectangle as a function of an x-coordinate This is the question: Express the area of the rectangle shown in the accompanying figure as a function...
4
[ -0.01312255859375, 0.022216796875, -0.01068115234375, -0.0400390625, -0.0211181640625, 0.006011962890625, 0.06689453125, 0.020263671875, -0.0185546875, -0.0230712890625, 0.0279541015625, -0.0142822265625, 0.0189208984375, 0.10986328125, 0.1044921875, 0.12353515625, -0.032958984375, ...
9,810
9810
Math Help July 29th 2007, 11:04 PM #1 Newbie Joined Jul 2007 Posts 17 electricity Here's a question I got for homework and I really do not have a clue on how to do it. Even if somebody could do pieces of it, I would be most grateful. A capacitor(C) of 10 μF is connected in series with a resistance(...
4
[ -0.068359375, 0.1396484375, 0.08056640625, 0.04638671875, 0.04150390625, 0.03564453125, 0.04931640625, 0.029296875, -0.035888671875, 0.09521484375, 0.1015625, -0.1240234375, 0.06787109375, 0.12060546875, -0.08447265625, -0.04443359375, -0.12255859375, -0.00909423828125, -0.034179...
9,811
9811
Statistics - Hypothesis testing July 4th 2007, 01:23 AM kaistylez Statistics - Hypothesis testing hi, i am having problems currently with these two problems, attached are pictures of the two problems i am having problems with, i dont know what kind of testing i am supposed to use. Also how do i find the p-va...
5
[ -0.083984375, 0.05126953125, 0.025634765625, -0.01080322265625, 0.06396484375, -0.01556396484375, 0.01361083984375, 0.076171875, -0.01080322265625, 0.08544921875, 0.076171875, -0.00124359130859375, 0.05126953125, 0.054931640625, 0.046875, 0.002655029296875, -0.02685546875, -0.04492...
9,812
9812
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: The first new theorem Primes Replies: 3 Last Post:...
4
[ -0.12158203125, 0.033203125, -0.0247802734375, -0.0162353515625, 0.0006866455078125, 0.04833984375, 0.0615234375, 0.0703125, 0.03466796875, -0.032958984375, -0.0179443359375, 0.0439453125, 0.051025390625, 0.06494140625, 0.046875, 0.0155029296875, -0.036376953125, -0.001296997070312...
9,813
9813
A Neighborhood of Infinity Update: I'm making a bit of a turnabout here. Firstly, I have to point out that at no point have I disagreed with S&P on any purely technical issue. We're all working with the same code and agree on what it does. The issue is a human one: is it possible to get wrong results by writing code t...
5
[ -0.0634765625, 0.031982421875, 0.0869140625, -0.019775390625, -0.002166748046875, -0.11181640625, 0.014892578125, 0.028564453125, -0.0235595703125, 0.0184326171875, -0.060546875, -0.0262451171875, 0.08251953125, -0.001861572265625, -0.0198974609375, -0.07470703125, 0.0284423828125, ...
9,814
9814
Trig. with ratio question March 9th 2008, 12:48 AM #1 Junior Member Joined Jun 2007 Posts 62 Hello, $\triangle$ABC is an acute triangle and H is the triangle's orthocenter. Express the ratio of $\triangle$ABH's area to $\triangle$ABC's area through the triangle's angles. (No sketch is given) ...
4
[ -0.00170135498046875, 0.0908203125, -0.0185546875, -0.017578125, 0.0025177001953125, 0.037109375, -0.01092529296875, 0.0230712890625, -0.0224609375, 0.037841796875, 0.054931640625, -0.142578125, -0.0198974609375, 0.0238037109375, 0.0439453125, 0.0771484375, -0.024169921875, 0.01855...
9,815
9815
Polynomial Function with Matching Maxima Date: 11/17/2008 at 00:43:17 From: Chris Subject: Finding a polynomial's "natural" Minimax curve Let c(t) be a polynomial of degree 2n, n>=2 being a positive integer for which all roots are unique, exist and are located between [0, 1]. I further specify that the first and last...
5
[ -0.091796875, 0.0030670166015625, 0.003173828125, -0.004364013671875, -0.0927734375, -0.037353515625, -0.038330078125, 0.07861328125, -0.03466796875, -0.01055908203125, -0.027587890625, 0.0220947265625, -0.0194091796875, 0.06201171875, -0.026123046875, 0.0264892578125, 0.006927490234...
9,816
9816
Posts from October 2009 on The Gauge Connection Running coupling in QCD 30/10/2009 For a quantum field theory it is essential to know the form of the beta function. The reason for this is that this function gives us immediately an understanding on how the theory will behave in different regimes of the energy range. C...
4
[ -0.12890625, -0.0216064453125, -0.0014190673828125, 0.09619140625, -0.00830078125, 0.07177734375, -0.013427734375, 0.021728515625, 0.04833984375, -0.01806640625, -0.015380859375, 0.1318359375, -0.10400390625, 0.0247802734375, 0.042724609375, 0.0169677734375, 0.0306396484375, -0.019...
9,817
9817
The Inverse Tangent Function - Concept Brightstorm is like having a personal tutor for every subject See what all the buzz is about Check it out The Inverse Tangent Function - Concept 15,133 views Since tangent is not a one-to-one function, the domain must be limited to -pi/2 to pi/2, which is called the restricted...
4
[ -0.1005859375, -0.0361328125, 0.05859375, 0.06298828125, 0.01171875, -0.038818359375, 0.042236328125, 0.10595703125, 0.01043701171875, -0.0164794921875, 0.050537109375, -0.0033111572265625, 0.0123291015625, -0.00579833984375, 0.03857421875, 0.0220947265625, 0.050048828125, -0.10400...
9,818
9818
Show that skew-Hermitian is nonsingular December 10th 2009, 12:05 AM #1 Show that skew-Hermitian is nonsingular Problem statement: Let $S$ be skew-Hermitian, i.e, $S=-S^*$. Show that $I-S$ is nonsingular. Attempt: Well, I know that an arbitrary square matrix can be written as the sum of a Hermiti...
4
[ -0.04736328125, 0.0439453125, -0.033935546875, -0.034423828125, 0.0130615234375, -0.03173828125, 0.10302734375, -0.04443359375, -0.044677734375, -0.00811767578125, 0.07470703125, -0.0181884765625, 0.064453125, 0.00872802734375, -0.009033203125, -0.04248046875, 0.060791015625, 0.036...
9,819
9819
Parametric Equations Worksheet 1. John hits a ball when it is 3 ft above the ground . The ball leaves the bat with an initial velocity 20 ft/sec, at 60° angle with the horizontal and heads towards a 9 ft wall at a distance of 8 ft. At what height does the ball hit the wall? a. 9 ft b. 8 ft c. 6.6 ft d. ...
4
[ 0.0089111328125, 0.111328125, -0.04931640625, -0.08935546875, 0.01385498046875, 0.0673828125, -0.115234375, 0.150390625, -0.06494140625, 0.047607421875, 0.0888671875, -0.02783203125, -0.005584716796875, 0.08544921875, 0.06689453125, 0.04052734375, -0.0732421875, -0.0093994140625, ...
9,820
9820
Complex Logarithms June 30th 2007, 08:37 PM #1 Complex Logarithms I'm not sure if this is the right forum to place this in, I know most of you on the forum should be able to deal with this kind of stuff in your sleep, but it's an Advanced Topic to me. About 10 minutes ago, for some reason unknown to me, I de...
5
[ -0.0771484375, 0.0123291015625, 0.00830078125, 0.0986328125, 0.007537841796875, -0.12255859375, 0.0012054443359375, 0.06103515625, 0.054931640625, 0.03759765625, 0.01214599609375, -0.00994873046875, 0.023193359375, 0.064453125, -0.043212890625, -0.0634765625, -0.0673828125, 0.01843...
9,821
9821
dy Got Homework? Connect with other students for help. It's a free community. • across MIT Grad Student Online now • laura* Helped 1,000 students Online now • Hero College Math Guru Online now Here's the question you clicked on: hiramoby Group Title Assume that x and y a...
5
[ -0.06640625, -0.031982421875, 0.031982421875, 0.007781982421875, -0.032470703125, -0.0235595703125, -0.0079345703125, 0.044921875, 0.01446533203125, 0.03173828125, 0.09814453125, -0.087890625, 0.0174560546875, 0.0810546875, 0.0111083984375, 0.02294921875, -0.037353515625, -0.050292...
9,822
9822
Intermediate Algebra - Factoring #2 January 31st 2010, 12:29 AM #1 Newbie Joined Jan 2010 Posts 22 Hello, please look at the picture below. I don't know where that 3 went... Please tell me? Also the next problem that starts from 4(3-.... the three goes missing again. Could you tell me how it w...
4
[ -0.0118408203125, -0.04296875, 0.068359375, 0.0286865234375, 0.000865936279296875, 0.03662109375, -0.00994873046875, -0.0966796875, -0.0201416015625, 0.07080078125, 0.08642578125, 0.0169677734375, 0.0751953125, -0.0079345703125, 0.053466796875, 0.06787109375, -0.0299072265625, -0.0...
9,823
9823
3D vector addition / algebra September 25th 2012, 08:21 AM #1 3D vector addition / algebra I have 3 point charges, each with a 3D vector notation. A is at (0, 2a, 0) B is at (3a/2, 0, 0) C is at (-3a/2, 0,0) I'm usng Coulombs Law (not gone into here) & the working I have been given is; F = (...
4
[ -0.024169921875, 0.0810546875, -0.08837890625, -0.042236328125, 0.0223388671875, 0.06787109375, 0.0118408203125, -0.031005859375, 0.0478515625, 0.0439453125, 0.0576171875, -0.08740234375, -0.007110595703125, 0.08154296875, 0.0283203125, 0.0023345947265625, -0.09375, -0.009887695312...
9,824
9824
[SOLVED] Conic section what each equation represents November 12th 2007, 12:39 AM xterminal01 [SOLVED] Conic section what each equation represents Can someone please help me with this, I am suppose to state which type of conic section is represented by each equation step by step if its possible 1. x^2-6...
4
[ 0.012451171875, -0.0140380859375, -0.03173828125, -0.0419921875, 0.08056640625, 0.01031494140625, -0.05224609375, 0.0233154296875, 0.004486083984375, 0.0274658203125, 0.068359375, 0.02587890625, -0.007293701171875, -0.000629425048828125, -0.004852294921875, 0.07568359375, -0.10009765...
9,825
9825
1st post from a math noob who is completely clueless... November 19th 2007, 07:09 PM #1 videodrome Guest 1st post from a math noob who is completely clueless... hello. i recently returned to school after dealing with the flu and im way behind. I got some work out of the book today and im clueless as to how to eve...
4
[ -0.00897216796875, 0.0019073486328125, 0.01055908203125, -0.03857421875, 0.020263671875, 0.06396484375, 0.03857421875, -0.04931640625, -0.0625, 0.0038604736328125, 0.026611328125, -0.0126953125, -0.0020294189453125, 0.048828125, -0.034423828125, 0.107421875, -0.10791015625, -0.0563...
9,826
9826
hyperplane least square through points up vote 1 down vote favorite I have a set of N, N>>n. n-dimensional vectors and would like to represent each of them, with approximation, as a linear combination of m, m < n, n-dimensional vectors. How should I choose the vectors so that the approximation is the best possible? I ...
5
[ 0.00885009765625, -0.0267333984375, 0.0172119140625, -0.00848388671875, -0.01153564453125, 0.055419921875, -0.03369140625, -0.034912109375, 0.033447265625, 0.04248046875, -0.04052734375, 0.06494140625, -0.022705078125, 0.01251220703125, -0.109375, 0.05029296875, 0.05859375, 0.01574...
9,827
9827
Quandaries & Queries at Math Central 29 items are filed under this topic. A conditional probability 2014-04-13 problem Two fair dice are rolled. what is the probability that the number on the first die was at least as large as 4 given that the sum of the two dice was 8? Answered by Pe...
4
[ 0.0084228515625, 0.06201171875, 0.00021839141845703125, -0.07275390625, -0.0040283203125, 0.051025390625, 0.072265625, 0.0615234375, -0.0028839111328125, -0.0245361328125, -0.0294189453125, -0.0177001953125, -0.01080322265625, -0.023193359375, 0.01153564453125, 0.025634765625, -0.032...
9,828
9828
Decision Procedure for Inequalities between Homogeneous Polynomials up vote 3 down vote favorite Given two polynomials $p_1$ and $p2$ each of which is a multi-variate polynomial with positive integer coefficients, we want to decide if $p_1 \leq p_2$ over all integral values of the variables. The undecidability of Hil...
5
[ -0.10400390625, 0.0020599365234375, -0.037109375, -0.01129150390625, 0.0380859375, 0.0126953125, -0.01611328125, -0.0034942626953125, -0.04736328125, -0.038330078125, -0.00604248046875, -0.0322265625, 0.018798828125, 0.0673828125, 0.037109375, 0.011962890625, -0.0213623046875, -0.0...
9,829
9829
trigonometric limit The function, $f(x)=\frac{x-\tan 2x}{\sin 2x}$ Can be expressed equivalently as, $f(x)=\frac{x}{\sin 2x}-\frac{\tan 2x}{\sin 2x}$ If we "cancel" to get, $g(x)=\frac{x}{\sin 2x}-\sec 2x$ Then the functions, $f(x),g(x)$ will agree on some open interval containing $0$ except possiblly at $x=0$ itself. ...
5
[ 0.00007581710815429688, -0.04150390625, 0.047119140625, 0.045654296875, -0.006134033203125, 0.0419921875, -0.0218505859375, 0.0274658203125, -0.00640869140625, 0.0152587890625, 0.07421875, -0.052490234375, -0.015869140625, -0.0011444091796875, 0.06201171875, -0.036865234375, 0.056152...
9,830
9830
Does this uniquely determine G? October 9th 2011, 03:41 AM Deveno Does this uniquely determine G? (up to isomorphism) $1\longrightarrow \mathbb{Z}_4 \longrightarrow^{\!\!\!\!\!\!\!\!\!\beta}\ \, G \longrightarrow^{\!\!\!\!\!\!\!\!\!\alpha}\ \, \mathbb{Z}_2 \longrightarrow 1$ $\mathbb{Z}_2\longrightarro...
5
[ -0.08984375, -0.0267333984375, 0.033935546875, 0.0003147125244140625, 0.017333984375, -0.0301513671875, 0.050537109375, -0.026611328125, -0.0260009765625, -0.09716796875, 0.058349609375, 0.0218505859375, -0.01385498046875, -0.0264892578125, -0.005096435546875, 0.04052734375, -0.02734...
9,831
9831
d^2y/dx^2 + b^2y=0 Show y=asinbx is a solution. September 23rd 2009, 11:14 PM #1 Junior Member Joined Sep 2009 Posts 34 d^2y/dx^2 + b^2y=0 Show y=asinbx is a solution. Hi, I have encountered this problem and don't know how to work it out. Anyone willing to explain it to me? An analysis of the ...
4
[ -0.08447265625, 0.0091552734375, 0.0478515625, 0.087890625, -0.015625, 0.06396484375, -0.056396484375, -0.031005859375, -0.0057373046875, -0.03955078125, 0.0673828125, -0.03271484375, -0.0238037109375, 0.072265625, -0.014404296875, 0.1201171875, 0.00421142578125, -0.03955078125, ...
9,832
9832
PCMI @ MathForum: Reflection on Practice, Day 6 Aki reviewed the results of the voting on Friday by first listing the reasons participants had given for voting for the winning entry. See Aki's PowerPoint presentation [download PowerPoint file] for a summary of the comments. 23% of the group voted for Table 4's ...
4
[ -0.0732421875, 0.05029296875, 0.004852294921875, -0.04248046875, -0.06640625, 0.033203125, -0.0177001953125, 0.1025390625, -0.0283203125, 0.0654296875, 0.01361083984375, 0.0224609375, -0.00592041015625, 0.04736328125, -0.0302734375, 0.01068115234375, -0.06298828125, 0.052001953125,...
9,833
9833
Probability: Disjoint & Independence October 9th 2010, 11:30 AM #1 Junior Member Joined Feb 2008 Posts 39 Probability: Disjoint & Independence A girl is to attend 2 meetings in 24 hours. The probability she is tardy on the 1st meet is .4 , the probability she is tardy on the 2nd is .5, and the pr...
4
[ 0.025390625, -0.0247802734375, 0.0751953125, 0.00136566162109375, 0.011962890625, -0.037841796875, 0.08056640625, -0.0400390625, 0.05712890625, 0.0084228515625, -0.01263427734375, -0.07666015625, 0.0164794921875, 0.0181884765625, 0.07958984375, 0.00299072265625, -0.02294921875, -0....
9,834
9834
Patent US8160397 - Method for automatic alignment of raster data with vector data in a geographic information system CROSS-REFERENCE TO RELATED APPLICATIONS This application is a continuation of U.S. patent application Ser. No. 11/655,292, filed Jan. 19, 2007, now allowed, which is incorporated herein by reference in ...
4
[ -0.111328125, 0.0277099609375, -0.041015625, -0.07275390625, -0.048095703125, -0.03955078125, 0.005218505859375, 0.053466796875, 0.00714111328125, 0.017822265625, -0.018798828125, 0.09912109375, 0.119140625, 0.001953125, -0.1416015625, -0.0255126953125, -0.052978515625, 0.06640625,...
9,835
9835
dy Got Homework? Connect with other students for help. It's a free community. • across MIT Grad Student Online now • laura* Helped 1,000 students Online now • Hero College Math Guru Online now Here's the question you clicked on: mathslover Group Title A 2m wide car is mo...
5
[ 0.0106201171875, 0.06494140625, -0.013916015625, -0.0693359375, 0.02294921875, 0.041015625, 0.0096435546875, 0.1142578125, -0.060302734375, 0.05419921875, 0.0927734375, -0.040283203125, -0.0120849609375, 0.048583984375, 0.000690460205078125, 0.01031494140625, 0.023193359375, 0.0417...
9,836
9836
Math Help ques-find the smallest no. which when divided by 28 gives remainder 8,and when divided by32 gives remainder 12. Hello, sumit2009! This can be solved with Modulo Arithmetic, . . but here is an algebraic solution. Find the smallest number which when divided by 28 gives remainder 8, and when divided by 32 give...
4
[ -0.029296875, 0.078125, -0.015625, -0.00634765625, -0.0537109375, 0.10595703125, 0.0810546875, 0.068359375, -0.06494140625, -0.01239013671875, -0.031982421875, -0.049560546875, 0.043701171875, 0.0014495849609375, -0.03369140625, -0.028564453125, -0.054443359375, -0.0037841796875, ...
9,837
9837
Antiderivative question March 18th 2006, 12:05 PM frozenflames Antiderivative question Let F(x) be an antiderivative of (ln x)^3/x. If F(1) = 0, then F(9) = a. .048 b. .144 c. 5.827 d. 23. 308 e. 1,640.250 March 18th 2006, 03:43 PM ThePerfectHacker Quote: Originally Posted by fr...
5
[ -0.0218505859375, -0.03466796875, 0.0277099609375, -0.014892578125, 0.00180816650390625, -0.05078125, 0.01239013671875, -0.042724609375, 0.0439453125, 0.0036163330078125, 0.04248046875, -0.003509521484375, 0.01226806640625, 0.006378173828125, 0.0106201171875, -0.01531982421875, -0.06...
9,838
9838
A model category which is an additive category up vote 5 down vote favorite Let $\cal C$ be a model category which is also additive. Suppose that the homotopy category $\operatorname{Ho}\mathcal C$ is additive, for example this is true when the weak equivalences in $\cal C$ is closed under biproducts (see this questio...
5
[ -0.009521484375, -0.111328125, -0.05029296875, 0.000530242919921875, -0.038818359375, 0.014892578125, -0.035888671875, -0.01300048828125, 0.03662109375, -0.0111083984375, 0.0859375, -0.08447265625, -0.078125, 0.051025390625, 0.09716796875, 0.01708984375, 0.04833984375, 0.0727539062...
9,839
9839
A systems biology approach to analyse amplification in the JAK2-STAT5 signalling pathway Abstract Background The amplification of signals, defined as an increase in the intensity of a signal through networks of intracellular reactions, is considered one of the essential properties in many cell signalling pathways. De...
4
[ -0.12158203125, -0.046630859375, -0.060546875, 0.03564453125, 0.03662109375, -0.01165771484375, 0.0033721923828125, 0.044677734375, 0.10205078125, 0.0458984375, -0.0274658203125, 0.00098419189453125, 0.04345703125, 0.06982421875, 0.0458984375, 0.037353515625, -0.01043701171875, 0.0...
9,840
9840
Finding the sum+product of a quadratic equation's roots? April 21st 2008, 04:28 PM eh501 Finding the sum+product of a quadratic equation's roots? I wasn't really paying attention in class, and im having trouble. Heres the question: For each quadratic equation, find: a) the sum of its roots and b) the produc...
4
[ -0.1142578125, 0.011962890625, 0.05419921875, -0.00982666015625, 0.00787353515625, 0.042236328125, 0.002593994140625, 0.046875, 0.030029296875, 0.01708984375, 0.12060546875, -0.076171875, 0.05078125, 0.04638671875, -0.0267333984375, 0.11181640625, 0.0242919921875, -0.00016975402832...
9,841
9841
The Logistic Distribution 13. The Logistic Distribution The logistic distribution has been used for various growth models, and is used in a certain type of regression, known appropriately as logistic regression. The Standard Logistic Distribution F(x) = e^x / (1 + e^x) for x in R. Show that F is a distribution funct...
4
[ 0.00897216796875, -0.0140380859375, -0.0133056640625, -0.018310546875, 0.08349609375, -0.1279296875, 0.016357421875, 0.038330078125, -0.08056640625, 0.0654296875, 0.10400390625, -0.053955078125, 0.0235595703125, -0.005767822265625, 0.0162353515625, -0.068359375, -0.0035552978515625, ...
9,842
9842
Zeisel Numbers Helmut Zeisel found that p = 2^(k-1) + k is prime if k=1885. The number 1885 is also interesting for another reason: It can be factored as 1885 = (1)(5)(13)(29). Notice that (1) (5) = 2(1) + 3 (13) = 2(5) + 3 ...
4
[ -0.0859375, 0.040771484375, -0.05029296875, -0.0224609375, -0.0311279296875, -0.0062255859375, 0.0302734375, 0.032958984375, -0.0303955078125, 0.00054168701171875, -0.0284423828125, 0.062255859375, 0.0252685546875, -0.002166748046875, -0.07470703125, -0.035888671875, -0.06982421875, ...
9,843
9843
proving identity March 29th 2009, 11:58 AM #1 Senior Member Joined Nov 2008 Posts 425 proving identity prove that (cscx-cotx)^2=(1-cosx)/(1+cosx) my steps are as follows: LS (cscx-cotx)^2 (1/sinx-1/tanx)^2 (1/sinx-cosx/sinx)^2 [(1-cosx)/sinx]^2 [(1-2cosx-cos^x)/sin^2x] ...
4
[ -0.06298828125, 0.1005859375, 0.047119140625, 0.06396484375, 0.037109375, 0.041259765625, -0.0034637451171875, -0.031494140625, 0.03125, 0.0213623046875, 0.01226806640625, -0.06640625, 0.0498046875, 0.0069580078125, -0.01434326171875, -0.0113525390625, 0.038330078125, 0.00088500976...
9,844
9844
Are there identities for inverse tangent? May 26th 2012, 02:18 PM Cbarker1 Are there identities for inverse tangent? Are there identities for inverse tangent? Can you verify them [the identities] for me? I know two of them: arctan(x)=arccot(1/x) arctan(x)=pi/2-arccot(x) What is the third o...
5
[ -0.09521484375, -0.04248046875, 0.059326171875, 0.07177734375, 0.0849609375, -0.04296875, 0.059326171875, 0.06494140625, 0.015380859375, 0.002777099609375, 0.052001953125, -0.103515625, -0.044677734375, 0.0089111328125, 0.0263671875, 0.04052734375, -0.02392578125, 0.0311279296875, ...
9,845
9845
Using integrals to find arc length Arc length problems: If we were to find the length of a function that is continuous over the interval [a,b] for the function y = f(x), we would call that a problem of finding arc length . Arc length as limit of sum: Since we are trying to estimate the length of a curve, we would ...
4
[ -0.0028533935546875, -0.037841796875, 0.033935546875, -0.004486083984375, 0.01611328125, 0.03173828125, -0.004302978515625, 0.11572265625, -0.01165771484375, -0.07275390625, -0.0103759765625, 0.0233154296875, 0.0546875, 0.0211181640625, -0.038818359375, 0.021728515625, -0.03662109375...
9,846
9846
Does the line contain in the plane? January 5th 2007, 03:44 PM #1 Member Joined Nov 2006 Posts 123 Give x=3-t, y=2+t, z=1-3t 2x+2y-5=0 a) determine whether the line and plane are parallel, perpendicular , or either. My answer to part a) is : the line is parallel to the given plane. b) Do...
4
[ -0.095703125, 0.0024261474609375, -0.026611328125, -0.09521484375, 0.043212890625, 0.046875, 0.03955078125, -0.004364013671875, -0.01007080078125, 0.087890625, 0.03515625, -0.025146484375, 0.009033203125, -0.0174560546875, -0.07958984375, -0.0244140625, -0.06591796875, -0.084960937...
9,847
9847
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: [ap-calculus] another problem Replies: 7 Last Post...
5
[ -0.02197265625, 0.054931640625, 0.00982666015625, -0.02734375, -0.01446533203125, -0.07958984375, -0.00543212890625, 0.1396484375, -0.032958984375, 0.0118408203125, 0.01611328125, -0.0096435546875, 0.049072265625, 0.072265625, -0.001312255859375, 0.050048828125, -0.05078125, -0.063...
9,848
9848
U AlgNet/GeoNet: A Union City School District Summer Enrichment Program Using technology not simply to do things better, but to do better things. ...
4
[ -0.0255126953125, 0.028076171875, 0.006500244140625, 0.0015411376953125, -0.044189453125, -0.0458984375, -0.0390625, -0.0693359375, -0.08251953125, 0.045166015625, 0.03955078125, 0.03466796875, 0.0703125, -0.01190185546875, -0.041015625, 0.1669921875, -0.08203125, -0.0179443359375,...
9,849
9849
Van Emde Boas and its space complexity In this post, I want to describe 3 neat and very different ways of making the space of the van Emde Boas (vEB) data structure linear. While this is not hard, it is subtle enough to confuse even seasoned researchers at times. In particular, it is the first bug I ever encountered in...
4
[ -0.05810546875, 0.01708984375, -0.01239013671875, -0.060302734375, 0.037109375, -0.06787109375, -0.004180908203125, -0.01446533203125, -0.01611328125, 0.0013427734375, -0.035888671875, 0.025634765625, 0.06689453125, -0.0771484375, -0.038330078125, 0.017333984375, 0.035888671875, -0...
9,850
9850
mathschallenge.net Numbered Discs Problem Two discs have four different numbers written on them. As the discs are spun their totals are added together, e.g. 5 + 8 = 13. By spinning the discs the totals 10, 11, 13, and 14 are obtained. Use this information to work out which numbers are on the other side of the disc...
4
[ -0.076171875, 0.032470703125, -0.0037384033203125, -0.1396484375, -0.1162109375, 0.0625, 0.038818359375, 0.0250244140625, 0.0174560546875, 0.010498046875, 0.0145263671875, -0.0174560546875, 0.049560546875, 0.013671875, -0.0264892578125, 0.006317138671875, -0.07421875, 0.02563476562...
9,851
9851
Scientific Papers - Vi 1916] NARROW TUBES OF VARIABLE SECTION 379 or, since the ends of the disturbed region at 0 and b are cylindrical, 0 from which the term in /<?2#2 may be dropped. That the reflected wave should be very small when the changes are sufficiently gradual...
4
[ -0.053955078125, 0.0216064453125, 0.09521484375, 0.06494140625, -0.008056640625, 0.0185546875, -0.06494140625, 0.11279296875, -0.10302734375, 0.04736328125, -0.004730224609375, 0.0458984375, 0.0260009765625, -0.020751953125, 0.033935546875, 0.0250244140625, -0.037841796875, -0.0356...
9,852
9852
Quadratic word problem January 9th 2009, 09:10 AM #1 Junior Member Joined Jan 2009 Posts 34 Quadratic word problem The distance, d (in metres), which an object travels. is given by the equation $d=ut-8t^2$ where u is the initial velocity (in metres per second) and t is the time in seconds it has been ...
4
[ 0.02783203125, 0.04296875, 0.058837890625, -0.023681640625, -0.08642578125, 0.029052734375, -0.04638671875, 0.0654296875, -0.0186767578125, 0.048583984375, 0.11865234375, 0.0014190673828125, 0.054931640625, 0.06787109375, -0.0654296875, 0.0277099609375, 0.03955078125, 0.00555419921...
9,853
9853
number of possibilities November 8th 2008, 03:11 PM #1 Junior Member Joined Sep 2008 Posts 25 number of possibilities how many 4 digit numbers can you form with (1,2,3,4,5,6,7) ? (No repeated numbers) The answer is 840 (7P4) BUT How many of these are odd numbers? I know that there are...
4
[ 0.01220703125, -0.07958984375, 0.0400390625, -0.044677734375, -0.0185546875, 0.08935546875, 0.0625, 0.037109375, -0.06689453125, 0.046142578125, -0.033203125, 0.08154296875, 0.034423828125, -0.039306640625, -0.038818359375, -0.00185394287109375, -0.0888671875, -0.07421875, -0.077...
9,854
9854
Calibration Prev Page--Digital Simulation || Next Page--Management Options Introduction Before an appropriate model can be used as a predictive or problem-so...
4
[ -0.03271484375, 0.00799560546875, 0.0093994140625, -0.01470947265625, -0.0242919921875, -0.0986328125, -0.041015625, 0.044677734375, -0.0106201171875, 0.00848388671875, -0.006866455078125, -0.07373046875, 0.06787109375, 0.017822265625, -0.08642578125, -0.083984375, -0.037353515625, ...
9,855
9855
Basic Kinematics of Constrained Rigid Bodies Introduction to Mechanisms Yi Zhang ...
5
[ 0.06884765625, -0.0458984375, -0.0693359375, -0.10986328125, -0.025634765625, 0.05224609375, 0.025390625, 0.04052734375, 0.0634765625, 0.045654296875, 0.099609375, 0.034423828125, 0.01531982421875, -0.0003948211669921875, -0.09130859375, 0.00139617919921875, -0.036865234375, -0.010...
9,856
9856
The Unit Tangent and the Unit Normal Vectors The Unit Tangent Vector The derivative of a vector valued function gives a new vector valued function that is tangent to the defined curve. The analogue to the slope of the tangent line is the dir...
5
[ -0.0074462890625, -0.02001953125, -0.01556396484375, -0.02734375, 0.0081787109375, 0.0159912109375, -0.020751953125, -0.00909423828125, 0.0079345703125, 0.052001953125, 0.0732421875, -0.005584716796875, -0.0162353515625, 0.041748046875, -0.0218505859375, -0.0213623046875, -0.07519531...
9,857
9857
Row Reduction Over A Field We’re quite eager to get to applications of algebraic topology to things like machine learning (in particular, persistent homology). Even though there’s a massive amount of theory behind it (and we do plan to cover some of the theory), a lot of the actual computations boil down to working wi...
4
[ -0.1103515625, 0.05517578125, -0.055908203125, 0.0045166015625, -0.025634765625, -0.01043701171875, -0.07373046875, -0.126953125, -0.00885009765625, 0.0242919921875, -0.048095703125, 0.11767578125, -0.0216064453125, 0.0157470703125, -0.0380859375, 0.054931640625, -0.050048828125, 0...
9,858
9858
Comparison of five methods for genomic breeding value estimation for the common dataset of the 15th QTL-MAS Workshop Abstract Background Genomic breeding value estimation is the key step in genomic selection. Among many approaches, BLUP methods and Bayesian methods are most commonly used for estimating genomic breedi...
4
[ -0.10107421875, 0.0218505859375, -0.00958251953125, -0.0264892578125, 0.0478515625, 0.0634765625, -0.03662109375, 0.001953125, -0.00145721435546875, -0.021240234375, 0.07763671875, -0.0947265625, -0.017578125, -0.0223388671875, -0.037353515625, 0.028564453125, 0.04248046875, -0.059...
9,859
9859
Comparative evaluation of gene-set analysis methods Abstract Background Multiple data-analytic methods have been proposed for evaluating gene-expression levels in specific biological pathways, assessing differential expression associated with a binary phenotype. Following Goeman and Bühlmann's recent review, we compa...
4
[ -0.044677734375, -0.056884765625, -0.054443359375, -0.00008821487426757812, 0.01055908203125, 0.0052490234375, -0.0810546875, 0.0257568359375, 0.06591796875, 0.0233154296875, -0.0216064453125, -0.04541015625, -0.054443359375, 0.0361328125, -0.06982421875, 0.0390625, -0.111328125, -...
9,860
9860
Sample Problems Problem Example 1 An object weighs 36 g in air and has a volume of 8.0 cm3. What will be its apparent weight when immersed in water? Solution: When immersed in water, the object is buoyed up by the mass of the water it displaces, which of course is the mass of 8 cm3 of water. Taking the density of wat...
4
[ -0.0164794921875, 0.0322265625, 0.0103759765625, 0.060791015625, 0.04248046875, -0.0537109375, 0.064453125, 0.053466796875, -0.064453125, -0.004058837890625, -0.05859375, -0.115234375, 0.03271484375, 0.035888671875, -0.026123046875, 0.03955078125, 0.03955078125, 0.0284423828125, ...
9,861
9861
Understanding matrices intuitively, part 2, eigenvalues and eigenvectorsUnderstanding matrices intuitively, part 2, eigenvalues and eigenvectors Understanding matrices intuitively, part 2, eigenvalues and eigenvectors Last time, I showed you a way to graph and to think about matrices. This time, I want to apply the te...
5
[ -0.0556640625, -0.0201416015625, -0.08642578125, -0.0211181640625, -0.00823974609375, -0.0031890869140625, -0.00830078125, -0.072265625, -0.0205078125, 0.040283203125, 0.11279296875, 0.01171875, 0.0216064453125, 0.010986328125, -0.003692626953125, 0.054931640625, -0.043212890625, -...
9,862
9862
Two equation turbulence models From CFD-Wiki Two equation turbulence models are one of the most common type of turbulence models. Models like the k-epsilon model and the k-omega model have become industry standard models and are commonly used for most types of engineering problems. Two equation turbulence models are ...
4
[ -0.0162353515625, -0.06396484375, 0.046142578125, 0.10888671875, 0.0181884765625, -0.021728515625, -0.041748046875, -0.00116729736328125, 0.1337890625, -0.046875, 0.0361328125, -0.02734375, 0.0023040771484375, 0.04296875, 0.000644683837890625, -0.019287109375, -0.031982421875, 0.06...
9,863
9863
ARTICLE : Yuga, Mahayuga and Kalpa [an error occurred while processing this directive] [Prev][Next][Index][Thread] ARTICLE : Yuga, Mahayuga and Kalpa • To: soc-religion-hindu@uunet.uu.net • Subject: ARTICLE : Yuga, Mahayuga and Kalpa • From: Prasad Gokhale <f0g1@unb.ca> • Date: Fri, 19 Jul 1996 14:41:54 -0300...
4
[ -0.05908203125, -0.00186920166015625, -0.025146484375, 0.06494140625, -0.091796875, -0.046630859375, -0.03369140625, -0.061279296875, 0.0673828125, -0.05859375, -0.00017452239990234375, -0.1279296875, -0.057861328125, -0.00299072265625, 0.027099609375, -0.0216064453125, -0.021484375,...
9,864
9864
What Is Work? Economou, Alex Chicago Vocational H. S. Objective: To show work (w) equals force (f) times distance (d) and the connection between work and potential energy, kinetic energy, and heat. Equipment: Single and double pulleys to produce mechanical advantages of 2 to 5, stands and support...
4
[ -0.10546875, 0.005584716796875, -0.08935546875, -0.01324462890625, -0.0546875, -0.041748046875, -0.03466796875, 0.07080078125, 0.0250244140625, 0.01495361328125, -0.006866455078125, -0.0732421875, -0.0361328125, 0.038330078125, -0.045166015625, 0.0185546875, 0.000637054443359375, -...
9,865
9865
Help With Cardinals February 19th 2010, 05:52 AM jackprestonuk Help With Cardinals Hi, I've been asked to show the following assertion; ${|A|}^2 = |A| > 1 \rightarrow 2 \cdot |A| = |A| \wedge {|A|}^{|A|} = 2^{|A|}$ I've managed to show the $2 \cdot |A| = |A|$ part, but I'm having trouble with the next ...
5
[ 0.046875, -0.0634765625, 0.041015625, 0.02099609375, 0.005218505859375, 0.048095703125, -0.0000476837158203125, 0.00177764892578125, 0.00007343292236328125, 0.0101318359375, -0.007659912109375, 0.00323486328125, 0.076171875, 0.00335693359375, -0.0004405975341796875, 0.07763671875, -0...
9,866
9866
Correlation-Function for Random Graph Ising Model up vote 8 down vote favorite 7 For non-Ising'ers: Given a graph, we study the probability-distribution on the set of colorings ("Spin-up" and "-down") generated by a given correlation ("force to equality") between adjacient nodes (Bolzmann-Term depending exponentially ...
4
[ -0.08837890625, -0.0255126953125, 0.0380859375, 0.058349609375, 0.044677734375, 0.01544189453125, 0.032958984375, -0.01446533203125, 0.0419921875, 0.0810546875, -0.005035400390625, 0.004730224609375, 0.09326171875, -0.0225830078125, 0.0255126953125, -0.00131988525390625, 0.0102539062...
9,867
9867
Bernoulli's Equation I also have a bernouli's equation problem that I wonder if you guys would check the work on. Here goes: Bernouli's equation: y'+p(x)y=Q(x)y^n dv/du=(u-v)^2-2(u-v)-2 w=u-v dw/du=1-dv/du dv/du=1-dw/du 1-dw/du=w^2-2w-2 dw/du=-w^2+2w+3 dw/du-2w=-w^2+3 p=-2, Q=-W^2+3 ...
5
[ -0.11669921875, 0.031982421875, -0.0177001953125, 0.07470703125, 0.0189208984375, -0.004364013671875, -0.03271484375, -0.044189453125, 0.0186767578125, -0.031005859375, 0.01953125, -0.051025390625, -0.021484375, 0.037353515625, -0.0380859375, -0.005126953125, -0.0712890625, -0.0285...
9,868
9868
How To Become Nate Silver In 9 Simple Steps Nate Silver has built one of the best models out there. It's accurate, consistent, and totally scientific. One advantage of being totally scientific is that his model can be replicated. Silver, over the past five years, has explained in depth how his model actually works. ...
4
[ -0.05517578125, -0.10693359375, 0.049072265625, 0.00787353515625, 0.03515625, 0.07275390625, -0.0693359375, -0.01123046875, -0.06640625, 0.019287109375, -0.0986328125, -0.040771484375, -0.009765625, -0.0125732421875, -0.05859375, -0.0162353515625, 0.036865234375, 0.05419921875, -...
9,869
9869
Bounded Comprehension Principle January 19th 2011, 02:14 PM gutnedawg Bounded Comprehension Principle Using the Bounded Comprehension Principle, show that if x and y are sets then so are: a. $\{z:\forall w( w\epsilon z \rightarrow w\epsilon x) \}$ b. $\{w:\exists z( z\epsilon x \wedge w= y\cap z) \...
5
[ -0.041259765625, 0.0166015625, 0.08056640625, 0.076171875, 0.060546875, -0.0079345703125, 0.146484375, 0.005279541015625, 0.0233154296875, -0.0247802734375, 0.01031494140625, -0.0093994140625, 0.08642578125, 0.0634765625, 0.020751953125, 0.01068115234375, -0.025146484375, -0.050537...
9,870
9870
implied RISK NEUTRAL probability of default, redux Update: we have newer posts on the topic, too, including Risk Neutral Valuation: There Are at Least Two Expected Values, that describes the difference between real and risk neutral distributions. We also have: Price Implied Default Rates that provides an example more l...
5
[ 0.02392578125, 0.00860595703125, 0.00384521484375, 0.0311279296875, 0.091796875, -0.046142578125, -0.028076171875, 0.0751953125, 0.04833984375, 0.024169921875, 0.053955078125, 0.0107421875, 0.059326171875, 0.0458984375, 0.06494140625, 0.0191650390625, -0.06787109375, -0.10302734375...
9,871
9871
Variance...why square? January 3rd 2006, 02:53 AM jimbot Variance...why square? Sorry to try anyones patience but now I found this place I'm taking advantage! OK. I don't quite get this. In calculating variance you sum (X-mean(X))^2 no? (And then you divide by n...I know). I understand that the squaring wil...
4
[ 0.02978515625, 0.00982666015625, 0.06982421875, 0.037109375, -0.059326171875, 0.0299072265625, -0.0172119140625, 0.04736328125, 0.08154296875, 0.02197265625, 0.040771484375, 0.0267333984375, 0.044677734375, -0.00078582763671875, -0.06396484375, -0.0147705078125, 0.05517578125, 0.02...
9,872
9872
True or false? October 5th 2009, 05:03 PM #1 Senior Member Joined Jul 2009 From Singapore Posts 338 True or false? $x^2+y^2-2x-4y+6=0$ is the equation of a circle. I answered true, but the answer in the book is false. So who is correct? This equation satisfies the general equation of a circle $x...
4
[ -0.017822265625, 0.0118408203125, -0.052001953125, 0.109375, 0.048828125, -0.0341796875, 0.01171875, 0.04443359375, 0.0546875, -0.058349609375, 0.05712890625, 0.038818359375, -0.005279541015625, -0.00860595703125, 0.0137939453125, 0.002532958984375, -0.09716796875, -0.056396484375,...
9,873
9873
Chain Rule: The General Power Rule - Concept Brightstorm is like having a personal tutor for every subject See what all the buzz is about Check it out Chain Rule: The General Power Rule - Concept 15,630 views The general power rule is a special case of the chain rule. It is useful when finding the derivative of a f...
5
[ -0.051513671875, 0.0247802734375, 0.08251953125, 0.033935546875, -0.0050048828125, -0.058349609375, 0.0230712890625, -0.00836181640625, 0.0517578125, 0.048828125, 0.00628662109375, 0.0615234375, 0.04296875, -0.00078582763671875, 0.029052734375, 0.07421875, -0.0625, 0.0673828125, ...
9,874
9874
Is this right? differential August 15th 2011, 06:29 PM #1 Member Joined May 2010 Posts 241 Is this right? differential Hi there, I have this exercise, I'd like to know what you think, if I did this right: If $z=F(u,v)=5u^2+4v-7$, with $\begin{Bmatrix} x+y^3+u^3+v=0\\x^3+y-4u+v^4=0\end{matrix}$. Dete...
4
[ -0.0267333984375, 0.0322265625, -0.048583984375, -0.017333984375, 0.04296875, 0.022705078125, 0.0341796875, -0.016357421875, -0.0498046875, 0.0086669921875, 0.035888671875, 0.00157928466796875, -0.0703125, 0.03662109375, -0.0260009765625, -0.03759765625, -0.10107421875, -0.05859375...
9,875
9875
CUDASW++2.0: enhanced Smith-Waterman protein database search on CUDA-enabled GPUs based on SIMT and virtualized SIMD abstractions Abstract Background Due to its high sensitivity, the Smith-Waterman algorithm is widely used for biological database searches. Unfortunately, the quadratic time complexity of this algorith...
4
[ -0.060791015625, -0.0164794921875, -0.052978515625, -0.08642578125, -0.0245361328125, -0.099609375, -0.06396484375, 0.0029754638671875, -0.087890625, -0.016845703125, -0.006622314453125, -0.0478515625, -0.004852294921875, 0.00142669677734375, -0.0228271484375, 0.01409912109375, -0.05...
9,876
9876
al The Pedagogy and Probability of the Dice Game HOG Larry Feldman and Fred Morgan Indiana University of Pennsylvania Journal of Statistics Education Volume 11, Number 2 (2003), www.amstat.org/publications/jse/v11n2/feldman.html Copyright © 2003 by Larry Feldman and Fred Morgan, all rights reserved. This text may b...
5
[ -0.0016021728515625, 0.039794921875, -0.0732421875, -0.0712890625, -0.1005859375, -0.038330078125, 0.040771484375, 0.080078125, 0.062255859375, 0.11669921875, -0.0220947265625, 0.016357421875, 0.05224609375, 0.0013580322265625, 0.000499725341796875, -0.06640625, 0.05322265625, 0.03...
9,877
9877
Stat List Editor on Ti-89 for finding areas between z-scores October 19th 2012, 04:32 PM m58 Finding areas between z-scores -- TI-89 Hello, I've been having some trouble with my Stat List Editor application on the TI-89 Titanium (well, more like (Headbang) than just a normal problem). I can't seem to get th...
5
[ -0.07470703125, 0.080078125, -0.0166015625, 0.057373046875, 0.027099609375, -0.012939453125, 0.04443359375, 0.15625, -0.10498046875, -0.01495361328125, 0.038330078125, -0.033447265625, 0.1005859375, 0.031982421875, 0.01806640625, -0.064453125, -0.004241943359375, -0.09716796875, ...
9,878
9878
sequences - recurrence relation MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required. I have to find the expression of $(y_n)$ defined by : ...
5
[ -0.2080078125, 0.03955078125, 0.0439453125, -0.037109375, -0.06982421875, 0.0106201171875, -0.0439453125, 0.01544189453125, 0.0203857421875, 0.0002918243408203125, 0.00567626953125, -0.0233154296875, -0.052978515625, 0.03369140625, -0.00982666015625, 0.03955078125, -0.05615234375, ...
9,879
9879
Diffeomorphism group of the unit sphere of complex n-space up vote 0 down vote favorite What is the largest subgroup of the diffeomorphism group of a (2n-1)-sphere that only contains members that are holomorphic in the coordinates assigned to the sphere by taking it to be the unit sphere of a complex n-space? Sorry if...
5
[ -0.072265625, -0.004669189453125, 0.07763671875, 0.05322265625, -0.016845703125, -0.02734375, 0.05859375, -0.03515625, 0.03271484375, -0.076171875, 0.07470703125, -0.07421875, -0.072265625, -0.040771484375, -0.0478515625, -0.06884765625, -0.05908203125, 0.0103759765625, -0.009765...
9,880
9880
limit problem Last edited by Revelsyn; October 13th 2008 at 07:22 AM. do you mean $\frac {\sqrt{1 + u} - \sqrt{1 + u^2}}{u - 1}$ ? if so, multiply by $\frac {\sqrt{1 + u} + \sqrt{1 + u^2}}{\sqrt{1 + u} + \sqrt{1 + u^2}}$ (the conjugate of the numerator over itself) and simplify as far as possible before taking the lim...
4
[ 0.039306640625, 0.0223388671875, 0.068359375, 0.03173828125, 0.0140380859375, -0.041748046875, -0.0322265625, -0.0274658203125, 0.03564453125, -0.01544189453125, 0.01708984375, 0.011474609375, -0.0029144287109375, 0.1044921875, -0.06982421875, -0.00250244140625, 0.00970458984375, -...
9,881
9881
Number 3979817 Number 3979817 in British English words is three million nine hundred seventy-nine thousand eight hundred seventeen. Number consists of 7 digits, seven-digit. Number 3979817 in American English words is three million nine hundred seventy-nine thousand eight hundred seventeen, in German words is drei M...
4
[ 0.031005859375, 0.00537109375, -0.0096435546875, -0.07373046875, -0.12890625, 0.01031494140625, 0.06787109375, 0.07958984375, 0.053466796875, 0.01416015625, 0.0283203125, -0.0556640625, 0.08740234375, -0.005035400390625, -0.08349609375, -0.0732421875, 0.002899169921875, 0.006378173...
9,882
9882
Integration by parts February 17th 2009, 01:35 PM #1 Member Joined May 2008 Posts 138 Integration by parts $\int_0^\pi e^{cos(t)}sin(2t)dt$ = $2\int_0^\pi e^{cos(t)}sin(t)cos(t)dt$ $u = cos(t)$ $du = -sin(t)$ When $t = \pi$$u = -1$ When $t = 0$$u = 1$ $-2\int_1^{-1} ue^u ...
5
[ -0.0478515625, 0.010498046875, 0.08935546875, 0.00007867813110351562, 0.033203125, -0.041748046875, -0.041015625, 0.06396484375, -0.01104736328125, 0.0279541015625, 0.08349609375, -0.08984375, 0.033447265625, 0.043701171875, -0.00537109375, -0.10986328125, 0.007232666015625, -0.074...
9,883
9883
Homework Help Posted by Jack on Tuesday, July 17, 2012 at 10:55pm. A ball is thrown vertically upwards in the air at a velocity of 50(m/s) and reaches a maximum height of 20(m). Calculate the time when the ball reaches the 10(m) mark, while going up and coming down. Use the following equation of motion: y(f) = y(i) +...
4
[ -0.00162506103515625, 0.10498046875, 0.07177734375, -0.058349609375, 0.048828125, -0.0006866455078125, -0.022705078125, 0.1298828125, 0.033935546875, 0.0771484375, 0.0732421875, 0.04296875, -0.0004100799560546875, 0.091796875, -0.00653076171875, 0.0673828125, -0.04296875, 0.0317382...
9,884
9884
Multiplying power series - Maclaurin series March 7th 2009, 05:56 AM #1 Newbie Joined Oct 2008 Posts 6 Multiplying power series - Maclaurin series Hi, I've run into some trouble trying to answer this power series question that asks: Use multiplication or division of power series to find the first th...
5
[ -0.04150390625, -0.0751953125, 0.054931640625, 0.0267333984375, -0.03955078125, -0.0615234375, -0.00372314453125, -0.025634765625, 0.037109375, 0.03759765625, 0.039794921875, -0.12353515625, -0.017578125, 0.032470703125, -0.0478515625, 0.00213623046875, -0.052734375, -0.02282714843...
9,885
9885
[SOLVED] Help please, AIME question: sequences and recurrence relations February 9th 2009, 08:11 PM #1 Junior Member Joined Jan 2009 Posts 57 [SOLVED] Help please, AIME question: sequences and recurrence relations For any sequence of numbers A = (a1, a2, a3, …), define ΔA to be the sequence (a2- a1, a3 –...
5
[ -0.103515625, -0.0294189453125, -0.0003604888916015625, -0.1279296875, -0.10498046875, 0.06884765625, -0.0238037109375, 0.004547119140625, 0.0142822265625, -0.049072265625, -0.014404296875, -0.037109375, -0.050537109375, 0.0186767578125, 0.0130615234375, -0.0142822265625, -0.01324462...
9,886
9886
uniform random multivariate on interval (0,1) February 5th 2011, 11:27 AM nikie1o2 uniform random multivariate on interval (0,1) Hi guys, Im given X, Y, Z are independent uniform random variables on the interval (0,1). The question is find P(x<y<z). Im thinking its a triple integration of f(x,y,z) d...
5
[ 0.0191650390625, 0.0260009765625, -0.01708984375, -0.08203125, -0.0023193359375, -0.054443359375, -0.00445556640625, -0.0264892578125, -0.07177734375, -0.0172119140625, -0.1259765625, 0.015869140625, 0.07763671875, 0.052978515625, 0.006744384765625, 0.00110626220703125, 0.00402832031...
9,887
9887
equivalence relation April 19th 2010, 08:15 AM #1 Super Member Joined Oct 2007 From Santiago Posts 517 equivalence relation Hey guys, question... Let A = {1,2,3,4,5,6,7,8,9,10}. Define a relation R on A by writing (x,y) $\epsilon$ R iff 3|(x-y). a) show that R is an equivalence relation on A. ...
4
[ -0.08984375, -0.059326171875, -0.031982421875, -0.09765625, -0.0028839111328125, 0.04443359375, 0.0908203125, 0.007232666015625, -0.08154296875, -0.00762939453125, 0.0390625, -0.004791259765625, 0.04345703125, 0.06640625, 0.056640625, -0.03564453125, 0.03271484375, -0.04150390625, ...
9,888
9888
Does the derivative of log have a Dirac delta term? up vote 4 down vote favorite 2 Dirac writes down the following formula on page 61 of his "Principles of quantum mechanics": $\frac{d}{dx}\log x = \frac{1}{x} -i\pi\delta(x)$, see http://adsabs.harvard.edu/abs/1947pqm..book.....D for the exact reference (but no text)....
5
[ -0.09033203125, -0.00970458984375, 0.01055908203125, 0.0021514892578125, 0.0167236328125, -0.0390625, 0.0888671875, 0.0185546875, 0.04833984375, 0.051025390625, 0.13671875, 0.0140380859375, 0.00799560546875, 0.03564453125, 0.03369140625, -0.055419921875, -0.0035247802734375, -0.006...
9,889
9889
existence of a subgroup June 14th 2009, 05:50 PM #1 Member Joined Feb 2009 From Chennai Posts 148 existence of a subgroup Let $G$ be a finite group in which $(ab)^{p}=a^{p}b^{p}$ for some prime $p$ dividing the order of $G$. Prove that if $P$ is the p-sylow subgroup of $G$, then there exists a normal...
5
[ 0.0537109375, 0.024169921875, 0.03369140625, 0.00933837890625, 0.02978515625, 0.0113525390625, 0.1396484375, -0.0184326171875, -0.043701171875, -0.0166015625, 0.019775390625, 0.0390625, -0.0289306640625, -0.00262451171875, 0.01904296875, 0.058837890625, -0.0419921875, -0.0187988281...
9,890
9890
Representing a real number as the value of a countably infinite game up vote 8 down vote favorite 2 Is it true that for any real number $p$ between 0 and 1, there exist finite or infinite sequences $x_m$ and $y_n$ of positive real numbers, and a finite or infinite matrix of numbers $\varphi_{mn}$ each of which is eith...
5
[ -0.0118408203125, -0.10107421875, -0.059814453125, -0.052001953125, -0.0203857421875, 0.06689453125, 0.08642578125, -0.05078125, 0.042236328125, -0.0157470703125, 0.006500244140625, 0.040771484375, 0.032470703125, 0.052490234375, 0.0164794921875, 0.03662109375, 0.0257568359375, -0....
9,891
9891
[SOLVED] Homomorphisms groups and subgroup help November 8th 2009, 07:25 PM kpizle [SOLVED] Homomorphisms groups and subgroup help Been working for hours on my homework...brain is fried. Can not figure out this last problem. Any help/guidance would be appreciated. Thanks. Prove or disprove that if $phi$ and...
5
[ -0.037841796875, 0.051025390625, 0.11669921875, -0.0576171875, -0.00390625, 0.038330078125, 0.1396484375, -0.0289306640625, -0.045654296875, -0.035400390625, 0.04248046875, 0.007659912109375, -0.03955078125, -0.034912109375, 0.00506591796875, 0.032470703125, 0.01611328125, -0.03039...
9,892
9892
Proof Improvement: a series of relatively prime pairs December 1st 2009, 04:44 PM #1 Junior Member Joined Nov 2009 Posts 33 Proof Improvement: a series of relatively prime pairs I am relatively new to writing proofs. I'm working through Gallian's Contemporary Abstract Algebra. As a new proof writer, I oc...
5
[ -0.08251953125, 0.0120849609375, 0.020751953125, -0.041748046875, 0.03955078125, 0.042236328125, 0.06201171875, 0.061279296875, -0.06689453125, -0.0230712890625, -0.040283203125, 0.039306640625, 0.0145263671875, 0.029296875, -0.0303955078125, 0.01190185546875, -0.00156402587890625, ...
9,893
9893
The Mathematics Behind Stopping a Car Question: if it takes 20 feet to stop a car going 20 MPH, how far does it take to stop a car going 40 MPH? 1. 10 feet. 2. 20 feet. 3. 40 feet. 4. 80 feet. The answer, which surprises nearly everyone, is (4) 80 feet (neglecting the driver's reaction time). This is because the...
4
[ 0.04052734375, 0.11767578125, 0.056396484375, 0.0478515625, 0.03125, 0.03173828125, -0.0771484375, 0.087890625, 0.03369140625, 0.06298828125, 0.06494140625, -0.0028839111328125, 0.0556640625, 0.0673828125, -0.045166015625, 0.0634765625, 0.050048828125, 0.08251953125, -0.129882812...
9,894
9894
Maximizing number of factors contributing in the sum of sorted array bounded by a value up vote 2 down vote favorite 2 I have a sorted array of integers of size n. These values are not unique. What I need to do is : Given a B, I need to find an i<A[n] such that the sum of |A[j:1 to n]-i| is lesser than B and to that p...
5
[ 0.004119873046875, 0.0118408203125, -0.050537109375, -0.11767578125, 0.006988525390625, 0.0264892578125, 0.042724609375, -0.0108642578125, -0.057861328125, -0.05126953125, -0.1279296875, 0.08984375, 0.032470703125, 0.0255126953125, -0.0294189453125, 0.08154296875, 0.0830078125, 0.0...
9,895
9895
Triangle Proof Date: Sat, 18 Feb 1995 22:01:29 -0800 (PST) From: Ralph Sierra Subject: Help, please! I'm a student in high school and I need help on this one problem. I'm in geometry and stumped. I'm thinking that maybe to figure it out, it needs to be said that if 2 sides of a triangle are not congruent, then the a...
4
[ -0.12158203125, 0.08740234375, 0.05224609375, -0.0810546875, 0.03955078125, -0.029541015625, -0.002838134765625, 0.0177001953125, -0.03173828125, -0.0291748046875, 0.057373046875, -0.05029296875, 0.0181884765625, 0.056884765625, 0.018798828125, -0.005767822265625, -0.0184326171875, ...
9,896
9896
The fixed points and periodic orbits The first derivative of quadratic map f(z) = z^2 + c at a fixed point z[∗] = f(z[∗ ]) λ = f '(z[∗ ]) = 2z[∗] is a complex number called multiplier (or the eigenvalue) of the point. In particular, f ' = 0 for critical points of f. For small enough ε f(z[∗] + ε) = f(z[∗ ]) + λ ε + O(...
4
[ -0.03857421875, 0.024658203125, -0.0157470703125, 0.07470703125, -0.049072265625, 0.056884765625, 0.0517578125, 0.044677734375, 0.0634765625, -0.06396484375, 0.08642578125, -0.0081787109375, 0.0206298828125, -0.083984375, -0.0179443359375, -0.0242919921875, -0.053466796875, -0.0751...
9,897
9897
Help with solutions to the functional equations f(x) = f(x^2 + 2012) July 19th 2012, 10:30 AM #1 Newbie Joined Jul 2012 From United States Posts 4 Help with solutions to the functional equations f(x) = f(x^2 + 2012) Hey guys, I've never solved problems of these sorts and I'm not quite sure where to b...
4
[ -0.039794921875, 0.0302734375, -0.010498046875, -0.080078125, -0.07763671875, 0.06787109375, -0.0130615234375, -0.013671875, -0.031982421875, -0.048583984375, 0.057861328125, 0.022705078125, -0.0380859375, 0.0103759765625, 0.033203125, 0.006591796875, 0.015869140625, -0.01513671875...
9,898
9898
Assessing Interaction in Case-Control Studies: Type I Errors... : Epidemiology ArticlePlus Click on the links below to access all the ArticlePlus for this article. Please note that ArticlePlus files may launch a viewer application outside of your web browser. * http://links.lww.com/EDE/A97 * http://links.lww.com/ED...
4
[ 0.03369140625, 0.04736328125, 0.015625, 0.0223388671875, 0.091796875, 0.053955078125, -0.04345703125, 0.1044921875, 0.0064697265625, 0.061279296875, 0.0252685546875, 0.0025787353515625, 0.0179443359375, 0.037353515625, -0.019287109375, 0.0181884765625, 0.053955078125, 0.02661132812...
9,899
9899