content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Optimizations problem with derivatives
December 5th 2009, 06:18 PM #1
Super Member
Joined
Nov 2008
Posts
597
Optimizations problem with derivatives
Question: (Attached) 59 b and c (I did a).
Answers:
b: About 8.5 inches by 2 inches.
c: 20/sqrt(3) inches by 20*sqrt(2/3) inches
My work is... | 5 | [
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0.0576171875,
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0.0556640625,
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0.10888671875,
-0.0306396484375,
-0.006... | 8,000 | 8000 | |
Math Help
May 21st 2007, 01:53 PM #1
Newbie
Joined
May 2007
Posts
8
integral
Hi all
The problem is: Show that the value of the integral
int_{0,2} (375x^5)(x^2 +1)^(-4) dx is 2^n for some integer n.
Thank you
Let us ignore the 375 factor for now.
$\int_0^2 \frac{x^5}{(x^2+1)^4} dx... | 5 | [
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0.002685546875,
-0.017... | 8,001 | 8001 | |
Acceptable proof?
October 15th 2009, 07:39 AM #1
Acceptable proof?
Hi,
Is this an acceptable proof of induction?
show that, for all n >= 2
$\frac{1}{2}n^{3/2} \textless \sum_{k=1}^n\sqrt{k}~\textless~n^{3/2}$
multiply by 2 and verify the statement holds for n=2
$\sqrt{2^3} = 2\sqrt2 ~\tex... | 5 | [
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0.01708984375,
0.03686... | 8,002 | 8002 | |
Maximum volume of a box
July 30th 2009, 06:27 AM #1
Maximum volume of a box
I was asked this question in an exam, Could you please check my working and see if I was on the right track.
A square sheet of cardboard is 16cm on each side. Squares of side 'x' cm are cut from each corner and the sodes bent up to f... | 5 | [
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0.037841796875,
0.00927... | 8,003 | 8003 | |
Help on a confusing Integration question
May 21st 2009, 04:28 AM #1
Newbie
Joined
Feb 2008
Posts
16
Help on a confusing Integration question
I've got one question left on my assignment, and I'm not too sure what the questions even asking.
Here's the question:
Can somebody help me understand th... | 5 | [
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More on coprime integers
February 1st 2009, 07:06 AM
Louise
More on coprime integers
Let n and m be coprime positive integers. Show that if n divides a and m divides a then nm divides a. Deduce that nm is the least common multiple of n and m.
I have shown the first part by expressing a as a product of disti... | 5 | [
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0.00037... | 8,005 | 8005 | |
Kindly help me for this triangle problem
May 13th 2010, 09:13 AM #1
Kindly help me for this triangle problem
The problem is attached. It is triangle and its peak is having value 1
the sides are at a and -a. The new point is on a/4. from which i have drawn perpendicular line
i want to know what is the va... | 4 | [
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... | 8,006 | 8006 | |
Help Verifying/Completing Basic Cryptography Proofs
April 15th 2013, 08:01 PM
HowDoIMath
Help Verifying/Completing Basic Cryptography Proofs
I'm not sure if there's a lot of different types of notation for this stuff, but just to be clear S(a) means the support of a, w(a) means the weight of a, h(a,b) is the ham... | 5 | [
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-0.001678466796875... | 8,007 | 8007 | |
CTE, Recursion and Math
Categories: News, Professional, SQLServerPedia Syndication, SSC
Tags: Scripts, TSQL
Comments: No Comments
Published on: May 23, 2011
Earlier this month we had a TSQL Tuesday on the topic of CTEs. I bailed on my submission because I already posted some CTE examples and was bone dry on what ... | 5 | [
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0.0368652... | 8,008 | 8008 | |
Limit Problem
August 30th 2009, 07:36 PM #1
Newbie
Joined
Aug 2009
Posts
6
Limit Problem
We are working on indeterminates. The problem is finding the limit (x-tanx)/x^3 as x approaches 0. We have been using L'Hopital's so I'd assume that's the key. The calculator indicates a limit of
infinity but I c... | 5 | [
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solving trigonometric equations with 2 variables
August 17th 2011, 05:35 PM #1
Newbie
Joined
Mar 2008
Posts
15
solving trigonometric equations with 2 variables
I finalized the question into 2 equations:
$-xcos70+ycos50-5.4=0$...a
$xsin70+ysin50-23.9=0$...b
Just wondering, for a highschool g... | 4 | [
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math-DUE TONIGHT PLEASE HELP
Posted by Michelle on Thursday, May 27, 2010 at 6:43pm.
Robert has a rectangular garden that is currently 180ft^2 and has a perimeter of 54ft He wants to increase the size of his garden by 5 ft in both directions. What will be the area of his expanded
garden?
A)
340
B)
74
C)
135
D)
... | 4 | [
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Graphing e graphs
August 6th 2011, 04:44 PM
sorkii
Graphing e graphs
Is there a faster way to graph expressions with 'e' in them? Whenever I graph them I have to put in a few x values manually into the expression to see what the graph looks like and then find the
turning points
How do I find the asympto... | 5 | [
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Logarithmic Properties
Back to the Table of Contents
Numbers and their Application - Lesson 17
Logarithmic Properties
Lesson Overview
A logarithm is ... | 4 | [
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en
/* coherent noise function over 1, 2 or 3 dimensions */
/* (copyright Ken Perlin) */
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#define B 0x100
#define BM 0xff
#define N 0x1000
#define NP 12 /* 2^N */
#define NM 0xfff
static p[B + B + 2];
static float g3[B + B + 2][3];
static float g2[B + B + 2][... | 4 | [
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0.05... | 8,014 | 8014 | |
Hypothesis about proportions/P-values check please
August 8th 2009, 07:32 PM #1
Newbie
Joined
Jul 2009
Posts
8
Hypothesis about proportions/P-values check please
According to a June 2004 Gallup poll, 28% of Americans “said there have been times in the last year when they haven’t been able to afford medic... | 5 | [
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Understanding Darcs Commute
People often want to understand how commute on patches works. Usually we start by saying:
Given two patches, \(A\) and \(B\), if \(A\) and \(B\) commute then: \(AB \longleftrightarrow B’A’\), for some \(B’\) and \(A’\).
Naturally people ask, “But what is the relationship between \(A\) and... | 4 | [
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Lecture
Lectures on Constructive Set Theory
(Padua, Spring 1998)
Lecture 2: 6th May (16.30 - 18.00): Introduction, continued
See Lecture 1
We con... | 4 | [
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Limits of series
April 6th 2010, 11:06 PM #1
Junior Member
Joined
Dec 2008
Posts
70
Limits of series
having trouble finding limits of series,
I'm able to use ratio test/root test /integral test when told to but when presented with a series that doesn't seem to require one of these test i'm lost,
... | 5 | [
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Complex Analysis questions
December 13th 2008, 06:41 PM #1
Newbie
Joined
Nov 2008
Posts
18
Complex Analysis questions
I have 3 questions which I have some idea how to solve it, but need confirmations on.
1) Sketch the set of continuity of the function given by the conditions:
f(z) = z if |z| < ... | 5 | [
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Using known areas to find integrals
January 23rd 2013, 08:05 AM #1
Newbie
Joined
Nov 2011
Posts
12
Using known areas to find integrals
Use areas to evaluate the integral:
[sqrt(9-x^2)]dx on interval [-3,3]
I am trying to figure out what would be the easiest way to do this. I know that you have ... | 5 | [
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URGENT HELP!!! pre-test
Hello, Brooke! Am I reading the problem wrong? I don't get any of their answers . . . Quote: 2. The number of bison per acre of range in the wild is: $N \:=\:2.1 \times 10^{5-0.004w}$ where $N$ is
the number of bison per acre and $w$ is the average weight of the bison in pounds. Find the average... | 4 | [
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Volume of a solid of revolution
January 27th 2009, 01:51 PM #1
Newbie
Joined
Oct 2008
Posts
20
Volume of a solid of revolution
Find the volume of the solid whose base is bounded by the circle x^2+y^2=4 with Equilateral triangle cross sections taken perpendicular to the x-axis.
area of an equilateral... | 5 | [
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Measurable Function
May 22nd 2011, 09:05 AM
gilgames
Measurable Function
i couldn't find a way to show this function is measurable.
$f(x)=1$ if $x \epsilon F$ and $f(x)=sin(x)$ if $x\varepsilon [0,1]\F$ where F is the Cantor Set.
i will be appreciate for any help.
edit: i defined a function $g(x)=... | 5 | [
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Some Functional Analysis Questions (Laplace Operator And Fourier Transform)
up vote 1 down vote favorite
Given a set of the k first eigenvalues $ (\lambda_i)_ 1 ^k $ of some operator , and a set of the first k orthomormal eigenfunctions for these eigenvalues : $ ( \phi_i ) $ . Define: $ \Phi(x,y) = \
sum_{i=1}^k \phi... | 4 | [
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Question about Integral
The problem is we cannot find anti-derivatives on closed intervals, we require that $|x|<.5$ in that case $f(x) = 1 \mbox{ on }-.5<x<.5$ and hence the anti-derivative is $x$ on $(-5,5)$ and a
constant everywhere. So, $f(x) = \left\{ \begin{array}{c}C_1 \mbox{ for }x<-.5\\ x+C_2 \mbox{ for }-.5<x... | 5 | [
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Solve the trigonometric equation
One possibility is that both those powers of 25 be equal to 1 so that 1+ 1= 2. In that case we must have $sin^2x+ 2 cos y+ 1= 0$ and $cos^2y+ 2\sin x+ 1= 0$. Adding those 2 equations, 1+ 2(cos x+ cos
y)+ 2= 0 or cos x+ cos y= -3/2. From that cos y= -3/2- cos x. You can put that into $co... | 4 | [
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[SOLVED] Tricky little matrix problem
September 1st 2008, 02:36 PM
hatsoff
[SOLVED] Tricky little matrix problem
This exercise has been troubling me. It seems like it should be simple, but I can't seem to crack it.
Let $A=\left[\begin{array}{cc} \cos{\theta} & \sin{\theta} \\ -\sin{\theta} & \cos{\theta}\en... | 5 | [
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-0.140625,
0.017333984375,
-0.056884765625,
-0.041748046875,
-0.027099609375,
-0.1552734375,
0.06103515625,
0.02685546875,
0.12255859375,
0.0537109375,
-0.0341796875,
0.0299072265625,
0.02197265625,
0.05615234375,
-0.0308837890625,
0.01239013671875,
... | 8,027 | 8027 | |
Projections on Neumann algebra
April 21st 2011, 02:10 PM #1
Newbie
Joined
Apr 2010
Posts
18
Projections on Neumann algebra
Hello, could you please help me to solve this problem:
let A is a von Neumann algebra, and ( $p_i$) - projections on A, $i\in I$. Then inf $p_i$, sup $p_i$ - projections on A.
... | 5 | [
-0.062255859375,
-0.0025787353515625,
-0.01446533203125,
-0.044189453125,
-0.01220703125,
0.10302734375,
0.0634765625,
-0.016845703125,
0.0234375,
-0.0291748046875,
0.0062255859375,
0.01507568359375,
0.0908203125,
-0.0240478515625,
-0.04541015625,
0.0034942626953125,
0.026123046875,
... | 8,028 | 8028 | |
Infinite set mapping to infinitesimal interval
July 29th 2010, 10:41 PM #1
Newbie
Joined
Jul 2010
Posts
6
Infinite set mapping to infinitesimal interval
I would be extremely grateful for any help in understanding this question concerning infinite sets.
Take S to be the set of real numbers from 0 to ... | 5 | [
-0.03662109375,
-0.039794921875,
-0.08544921875,
-0.0126953125,
-0.02587890625,
-0.00171661376953125,
-0.0213623046875,
0.044189453125,
0.032958984375,
-0.035888671875,
-0.023681640625,
0.0108642578125,
0.051025390625,
0.0194091796875,
-0.00653076171875,
-0.0966796875,
0.022338867187... | 8,029 | 8029 | |
Finding Arctan of a Complex Number
Date: 08/18/2008 at 14:19:29
From: BCox
Subject: Arctan(x+iy)= Real() + Im()
Can we separate the real and imaginary parts of arctan(x+iy)
expression? I am not sure how to answer this using
Asin/acos/atan for Complex Numbers
http://mathforum.org/library/drmath/view/52235.html... | 5 | [
-0.12255859375,
0.05712890625,
0.024169921875,
0.06689453125,
0.0673828125,
-0.0167236328125,
0.0030517578125,
0.02490234375,
-0.00122833251953125,
-0.02783203125,
0.107421875,
-0.07080078125,
0.007080078125,
0.0908203125,
0.0184326171875,
0.0283203125,
-0.10546875,
-0.004180908203... | 8,030 | 8030 | |
Finding the formula for a graph
April 14th 2010, 04:59 PM
florx
Finding the formula for a graph
http://i41.tinypic.com/351gyde.jpg
I need help with finding the horizontal shift for the function P = f(t). Also how would we find the formula for this? I already know that Midline is 2100, Amplitude is 900. But ... | 4 | [
-0.1474609375,
0.0634765625,
0.00714111328125,
-0.0179443359375,
-0.036865234375,
0.1337890625,
-0.0341796875,
0.08837890625,
0.033447265625,
-0.059814453125,
0.059814453125,
-0.0703125,
-0.0172119140625,
0.0062255859375,
0.05224609375,
0.0037384033203125,
-0.0888671875,
-0.0522460... | 8,031 | 8031 | |
Math Help
July 6th 2008, 10:18 PM #1
Member
Joined
Jun 2008
Posts
170
subsequence
Prove that if $a_n$ is a sequence such that every subsequence of $a_n$ has a further subsequence converging to $0$, then $a_n \to 0$.
Let $\sigma: \mathbb{N} \to \mathbb{N}$ be a strictly increasing function. Suppose ... | 5 | [
-0.1171875,
-0.1103515625,
0.07177734375,
0.031005859375,
-0.047607421875,
0.08642578125,
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0.09912109375,
-0.00274658203125,
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0.0076904296875,
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-0.004486083984375,
-0.032470703125,
0.078125,
0.04541015625,
0.0216064453125,
0... | 8,032 | 8032 | |
parallel equation to the line
December 16th 2008, 06:22 AM
RubbishAtMaths
parallel equation to the line
help...
A line has equation 3x + 2y = 6. Find the equation of the line parallel to this which passes through the point (2,10)
i know when someone tells me this ill feel so stupid (Wondering)
Decembe... | 4 | [
-0.166015625,
-0.0211181640625,
-0.0537109375,
0.00567626953125,
0.04541015625,
0.130859375,
-0.054931640625,
0.0595703125,
-0.038330078125,
-0.0014190673828125,
0.09619140625,
-0.09375,
-0.002899169921875,
0.000016808509826660156,
0.0400390625,
0.0255126953125,
-0.134765625,
0.031... | 8,033 | 8033 | |
Length of shortest geodesic and Cheeger's isoperimetric constant for a special genus 2 surface
up vote 1 down vote favorite
2
Let us take two copies of $ Y $-pieces [ or pair of pants ] with each boundary geodesic of length $ l $, and glue them together without any twisting to obtain a genus 2 closed orientable hyperb... | 4 | [
-0.00421142578125,
-0.022705078125,
0.060546875,
-0.0771484375,
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0.07763671875,
-0.005126953125,
-0.04638671875,
0.0031585693359375,
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0.007110595703125,
-0.021484375,
-0.001556396484375,
0.0537109375,
0.0003108978271484375,
... | 8,034 | 8034 | |
Improper integrals
April 12th 2010, 09:53 PM
monster
Improper integrals
Have been going through evaluating improper integrals by expressing them as limits and have got to the following,
integral from 0 to infintiy of 1/(x^3) with respect to x,
evaluating this from 1 to infinity would seem to make sense... | 5 | [
-0.03759765625,
-0.004974365234375,
-0.05810546875,
-0.00543212890625,
0.0255126953125,
-0.033935546875,
-0.0024871826171875,
-0.0262451171875,
-0.01226806640625,
-0.0206298828125,
-0.03125,
-0.0150146484375,
0.0274658203125,
0.0140380859375,
0.0517578125,
0.0927734375,
0.03393554687... | 8,035 | 8035 | |
Divisibility Proof
Date: 02/16/2001 at 11:57:31
From: Nikhil Promise
Subject: Number Theory
Prove that if n is an odd positive integer, then
2269^n + 1779^n + 1730^n - 1776^n
is an integer multiple of 2001.
Date: 02/16/2001 at 16:50:08
From: Doctor Rob
Subject: Re: Number Theory
Thanks for writing to Ask D... | 5 | [
-0.111328125,
-0.004364013671875,
-0.01611328125,
-0.0223388671875,
0.025634765625,
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0.07373046875,
0.0032501220703125,
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0.0439453125,
0.0150146484375,
0.0284423828125,
-0.0252685546875,
-0.06884765625,
-0.064453125,
... | 8,036 | 8036 | |
The Law of Cosines, Law of Sines, and a Quadratic Surprise
So it's past time for another math post. Don't worry, my studies are continuing, but I've discovered that distilling all the great mathy things I'm learning into a coherent blog post is actually more
difficult than studying the math! Still, that's the reason fo... | 4 | [
-0.1181640625,
0.06298828125,
-0.041748046875,
0.0179443359375,
0.02099609375,
0.05322265625,
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0.08642578125,
0.080078125,
0.019775390625,
-0.0126953125,
-0.007598876953125,
0.07568359375,
0.040771484375,
-0.045166015625,
-0.05908203125,
0.021118164062... | 8,037 | 8037 | |
NEED HELP WITH ALGEBRA PROOF! Tangent to a parabola y^2=4ax
February 22nd 2013, 03:11 PM
Mathshelp246
NEED HELP WITH ALGEBRA PROOF! Tangent to a parabola y^2=4ax
Okay, can anyone help me with this problem- I will try to have a go myself as well.
Okay so there is a normal x and y axis. On this axis is a para... | 5 | [
0.03759765625,
-0.07470703125,
0.040771484375,
0.0067138671875,
-0.0146484375,
0.03759765625,
-0.01068115234375,
0.0927734375,
0.03515625,
0.05029296875,
0.1220703125,
0.00537109375,
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0.048828125,
-0.035888671875,
0.1259765625,
-0.050048828125,
-0.039306640625,
... | 8,038 | 8038 | |
surface is regular if curvature is non zero
March 9th 2009, 03:16 PM
dopi
surface is regular if curvature is non zero
alpha(u) is a unit speed space curve, the chart (x,U) where
x(u,v) = alpha(u) + v*(alpha'(u)), (u,v) in U
i want to show that this surface is regular if the curvature k(u): = || alpha''... | 5 | [
0.059326171875,
-0.00537109375,
-0.033935546875,
-0.04443359375,
0.01483154296875,
0.0211181640625,
0.051025390625,
-0.0294189453125,
-0.050537109375,
-0.060546875,
0.06787109375,
-0.05224609375,
-0.07373046875,
0.064453125,
-0.0400390625,
-0.029296875,
-0.08447265625,
-0.051025390... | 8,039 | 8039 | |
speed questions
September 25th 2008, 09:03 PM #1
Junior Member
Joined
Sep 2008
Posts
27
speed questions
I have three question I need help with:
Over a distance of 120km, the average speed of a train is 40km/h faster than that of a car. If the train covers the distance in 30 min less time, find its a... | 4 | [
0.054443359375,
0.06103515625,
0.06689453125,
0.048095703125,
-0.01806640625,
0.048095703125,
-0.04345703125,
0.07763671875,
-0.11279296875,
0.061279296875,
0.06396484375,
-0.068359375,
0.1015625,
0.0308837890625,
-0.0166015625,
0.057861328125,
0.0177001953125,
-0.005401611328125,
... | 8,040 | 8040 | |
Partial Fractions
November 30th 2009, 08:55 AM #1
Junior Member
Joined
Oct 2009
Posts
27
Hello, Thanks in advance for any help with this question.
I am fairly comfortable with these, however the minus on the numerator is throwing me off!
Question) Express as the sum of partial fractions:
-3... | 4 | [
-0.1171875,
0.01287841796875,
0.034423828125,
0.0299072265625,
-0.01708984375,
0.031494140625,
0.0269775390625,
-0.06201171875,
-0.0125732421875,
-0.0018463134765625,
-0.000682830810546875,
-0.1796875,
0.04931640625,
0.04931640625,
0.0302734375,
0.00872802734375,
-0.01031494140625,
... | 8,041 | 8041 | |
Prove divergence
hm... when some series converge means that there is all members of the series except them finite many are in region of some point... if that's not the case than it diverges ... but ... never mind
that try like this : $\displaystyle \sum _{n=0} ^{\infty} \frac {1}{2n+1} - \frac {1}{(2n+2)^2 }$ and show ... | 5 | [
-0.022705078125,
-0.053466796875,
0.0771484375,
0.058837890625,
-0.013671875,
0.020263671875,
-0.04541015625,
0.024169921875,
0.1142578125,
-0.031982421875,
-0.00518798828125,
-0.01904296875,
0.0115966796875,
0.0947265625,
-0.10595703125,
-0.07861328125,
0.041015625,
-0.03955078125... | 8,042 | 8042 | |
Indecomposable projectives correspond to irreducibles - reference
up vote 3 down vote favorite
2
Hello,
We have the following assertion:
In an abelian category that has enough projectives and in which every object has finite length, indecomposable projectives correspond bijectively to irreducibles (both up to is... | 4 | [
-0.039794921875,
0.01373291015625,
0.0086669921875,
0.01483154296875,
0.003692626953125,
0.07861328125,
0.0111083984375,
-0.00225830078125,
-0.05712890625,
-0.054443359375,
-0.0283203125,
-0.072265625,
-0.06201171875,
0.060546875,
-0.024658203125,
0.055908203125,
0.019287109375,
0.... | 8,043 | 8043 | |
Analysis
Date: Tue, 29 Nov 1994 13:52:29 -0500 (EST)
From: Anonymous
Subject: help with problems
In analysis: If f:[0,1] is continuous. Show that there is an x in [0,1]
such that f(x) = x. Problem #2: If A and B are open and closed sets
respectively, of R^n, show B\A is closed and A\B is open. Definition:
A\B a... | 5 | [
0.00115966796875,
0.02880859375,
-0.0198974609375,
0.0059814453125,
-0.017578125,
0.07275390625,
0.1123046875,
-0.0022735595703125,
-0.0206298828125,
-0.0019989013671875,
-0.0771484375,
-0.0252685546875,
0.0341796875,
0.03857421875,
-0.034912109375,
0.0830078125,
-0.0306396484375,
... | 8,044 | 8044 | |
Intersection of Three Spheres
Date: 06/05/2003 at 08:48:12
From: Rob
Subject: Intersection of three spheres
How do you find the intersection of three spheres?
(x-x1)^2 + (y-y1)^2 + (z-z1)^2 = r1^2
(x-x2)^2 + (y-y2)^2 + (z-z2)^2 = r2^2
(x-x3)^2 + (y-y3)^2 + (z-z3)^2 = r3^2
Point 1 (x1,y1,z1), point 2 (x2,y2,z2), and... | 5 | [
0.008056640625,
-0.03271484375,
-0.083984375,
-0.0291748046875,
0.057373046875,
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0.03662109375,
-0.028076171875,
0.00021648406982421875,
0.01708984375,
-0.08740234375,
0.0235595703125,
0.045654296875,
0.0030059814453125,
-0.01263427734375,
0.0166015625,
-0.04125976562... | 8,045 | 8045 | |
Induction divisibility P2
February 6th 2010, 04:45 AM #1
Junior Member
Joined
Nov 2009
Posts
45
Induction divisibility P2
Could somebody help me with these questions? I just need to prove that n=k+1 using the assumption for n=k
Prove:
1) 7^2n - 48n -1 for 2304 for n=1,2,3...
2) (3n+1).7^n -1... | 5 | [
-0.056640625,
-0.0024261474609375,
0.0198974609375,
0.064453125,
0.0732421875,
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0.04833984375,
-0.04248046875,
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0.06103515625,
0.060546875,
-0.06396484375,
-0.0634765625,
-0.0712890625,
0.03564453125,
0.... | 8,046 | 8046 | |
Fundemental Therom of Calculus with Chain Rule
December 7th 2009, 09:47 AM #1
Newbie
Joined
Sep 2009
Posts
6
Fundemental Therom of Calculus with Chain Rule
Find $\frac{d}{dx}\int^{x^4}_1 sec t, dt$
Solution:
Let u = x^4
$\frac{d}{dx}\int^{x^4}_1 sec t, dt = \frac{d}{dx}\int^u_1 sect, dt$
... | 5 | [
0.0172119140625,
0.03515625,
0.08203125,
-0.0255126953125,
-0.057861328125,
-0.06884765625,
0.0235595703125,
-0.0380859375,
0.0196533203125,
-0.029541015625,
0.060546875,
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0.0240478515625,
0.07568359375,
0.01153564453125,
0.01123046875,
0.01806640625,
0.042724609375,... | 8,047 | 8047 | |
computing
April 27th 2007, 04:05 AM
fortuna
computing
fortuna_rty@aapt.net.au
Dear Maths Help here are my questions: I am desperate could you help, this is discrete maths which relates to computing uni math. My homework is due on 30 April 2007 morning. Hope you can help
me. I have tried all avenue.
... | 5 | [
-0.078125,
-0.01171875,
-0.01123046875,
-0.0322265625,
-0.0079345703125,
-0.03759765625,
0.0361328125,
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0.032958984375,
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0.0189208984375,
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-0.080078125,
-0.0634765625,
0.04052734375,
-0.03515625,
-0.02966308593... | 8,048 | 8048 | |
Need help with determining Similarity of two matrices
July 26th 2010, 02:29 AM #1
Newbie
Joined
Jul 2010
Posts
4
Need help with determining Similarity of two matrices
Hey everybody,
Given two 4x4 Matrices
A = [0 -1 1 1, -1 1 0 0, 0 0 -1 1, 0 0 0 0] B = [-0.5 -0.5 -0.5 -1.5, -0.5 1.5 0.5 -0.5, 0 ... | 5 | [
-0.0034637451171875,
-0.0703125,
-0.1171875,
-0.080078125,
-0.009033203125,
-0.02001953125,
0.0257568359375,
-0.06884765625,
-0.0123291015625,
-0.07568359375,
0.006256103515625,
-0.0072021484375,
-0.0115966796875,
0.06787109375,
-0.048828125,
0.04541015625,
0.03515625,
-0.092285156... | 8,049 | 8049 | |
Are Kato's zeta elements integral?
up vote 10 down vote favorite
4
Let $E$ be an elliptic curve over $\mathbb{Q}$ and $T$ the $p$-adic Tate module of $E$. Kato's Euler system, constructed in the paper "P-adic Hodge theory and values of zeta functions of modular
forms" (Asterisque 295, 2004), gives rise to an element $... | 4 | [
-0.087890625,
0.06494140625,
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0.0830078125,
0.027099609375,
-0.040771484375,
0.06201171875,
0.0167236328125,
-0.006072998046875,
0.0322265625,
0.031982421875,
-0.05078125,
-0.09521484375,
0.01556396484375,
0... | 8,050 | 8050 | |
From A to B, exponentially
November 21st 2013, 07:25 PM #1
Newbie
Joined
Nov 2013
From
Israel
Posts
1
From A to B, exponentially
moderators if this isn't the appropriate sub forum please redirect the post, thanks)
Hello friends
Say I have two values A and B; I also have a given number of day... | 4 | [
-0.0732421875,
0.052978515625,
-0.0260009765625,
-0.007354736328125,
-0.07861328125,
-0.060302734375,
0.0130615234375,
-0.0147705078125,
0.0010833740234375,
0.0458984375,
0.0162353515625,
-0.0625,
0.08447265625,
0.08349609375,
0.09912109375,
0.0947265625,
-0.1025390625,
0.044677734... | 8,051 | 8051 | |
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Building an Equation to find (Maximum Y) ie Highes... | 4 | [
-0.047119140625,
0.00860595703125,
-0.0184326171875,
-0.03125,
-0.0654296875,
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0.040283203125,
-0.0069580078125,
-0.003082275390625,
0.03857421875,
0.034423828125,
0.03564453125,
0.109375,
0.0172119140625,
0.173828125,
-0.028564453125,
-0.010131835937... | 8,052 | 8052 | |
Help!
July 12th 2006, 10:12 AM
Celia
Help!
A 3.0-g bullet traveling at 350 m/s hits a tree and slows down uniformly to a stop while penetrating a distance of 12 cm into the tree's trunk. What was the force exerted on the bullet in
bringing it to rest?
July 12th 2006, 01:53 PM
topsquark
Quote:
Or... | 4 | [
0.042236328125,
0.056396484375,
0.04248046875,
0.06494140625,
0.0281982421875,
-0.06787109375,
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0.01806640625,
-0.004150390625,
0.1376953125,
0.062255859375,
0.00909423828125,
-0.02587890625,
0.004180908203125,
-0.109375,
0.004730224609375,
0.0576171875,
0.027587890... | 8,053 | 8053 | |
evaluating difference quotients
September 29th 2009, 03:06 PM #1
Member
Joined
Sep 2009
Posts
149
evaluating difference quotients
The problem is $f(x)=1/x$ and the difference quotient to evaluate is $(f(x)-f(a))/x-a$ the answer in the book is -1/ax. How did they arrive at that conclusion?
Thanks.
... | 4 | [
-0.03369140625,
0.0213623046875,
0.031494140625,
-0.01708984375,
-0.0220947265625,
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-0.0267333984375,
0.01251220703125,
0.09716796875,
0.125,
-0.0634765625,
0.01409912109375,
0.04736328125,
0.021240234375,
0.013427734375,
-0.0159912109375,
-0.0903320312... | 8,054 | 8054 | |
Volatility Futures & Options
There are plenty of things written about leveraged ETFs and their apparent decay based on empirical observation that both bull and bear products often underperform the benchmark. The usual
explanation (and the one that makes most sense to me) is that ETFs don't really decay - just appear to... | 4 | [
-0.00634765625,
-0.07763671875,
0.0322265625,
0.0439453125,
0.05419921875,
-0.06591796875,
-0.037109375,
0.06787109375,
0.08544921875,
0.0037384033203125,
-0.0595703125,
0.0966796875,
0.06201171875,
-0.034912109375,
0.00159454345703125,
-0.06640625,
0.03271484375,
-0.00631713867187... | 8,055 | 8055 | |
need help
January 28th 2013, 08:02 AM
kastamonu
need help
There are 3 cars going on a autobahn. At the end of the autobahn there are 3 turnpikes. What is the probability that one of them will pass through a different turnpike than the others and the
other 2 will pass through the same turnpike.
January 28th ... | 4 | [
-0.01220703125,
-0.0908203125,
-0.021484375,
-0.064453125,
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-0.01116943359375,
0.0228271484375,
0.003753662109375,
0.0274658203125,
-0.05297851562... | 8,056 | 8056 | |
What Am I doing wrong in trying to find the tangent to this parametric equ?(W/ANSWER)
September 27th 2012, 03:47 PM
skinsdomination09
What Am I doing wrong in trying to find the tangent to this parametric equ?(W/ANSWER)
find the tangent to the curve at the point corresponding to the given value of the parameter
... | 5 | [
-0.08056640625,
-0.0191650390625,
0.0361328125,
-0.01171875,
0.060791015625,
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0.11962890625,
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0.021240234375,
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0.038330078125,
-0.0172119140625,
-0.00885009765625,
-0.1015625,
-0.0771484375,
... | 8,057 | 8057 | |
Determine the area enclosed by the curve y = cos ^2 fi
March 6th 2011, 09:56 AM #1
Member
Determine the area enclosed by the curve y = cos ^2 fi
If you know what the curve looks like it becomes a bit easiar to evaluate the area. Look at cos^2 x - Wolfram|Alpha and let us know how you want to approach this no... | 5 | [
0.052490234375,
0.00153350830078125,
-0.08154296875,
0.0032501220703125,
0.016357421875,
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-0.021728515625,
0.1298828125,
-0.01141357421875,
0.04052734375,
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0.04833984375,
-0.0791015625,
0.07177734375,
0.032958984375,
0.0439453125,
-0.040283203... | 8,058 | 8058 | |
Primes in Quadratic Fields
July 21st 2010, 10:46 AM
Samson
Quote:
Hmm, I may have jumped the gun, in terms of, it looks like we can "finesse" your requirement to match the definition.
Wikipedia (and MathWorld) gives:
$\alpha = a + b\omega \in \mathbb{Z}[\omega]$
where $a, b \in \mathbb{Z}$
... | 5 | [
-0.0027618408203125,
-0.043212890625,
0.01171875,
-0.05810546875,
0.0107421875,
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0.035400390625,
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0.01226806640625,
-0.01263427734375,
-0.0272216796875,
0.0147094726562... | 8,059 | 8059 | |
factoring a basic quadratic equation
May 9th 2011, 11:52 PM
tutormeplz
factoring a basic quadratic equation
Hello - this is two part question. First, can someone please help me factor this equation, or is this even factorable?
(4x^2+4x+2)
I've tried factoring this into either (2x-1)(2x-2) or (4x-1)(x-2... | 4 | [
0.01019287109375,
-0.0546875,
0.047607421875,
0.058837890625,
0.045654296875,
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0.064453125,
0.041748046875,
-0.041259765625,
0.021240234375,
0.055419921875,
0.007659... | 8,060 | 8060 | |
TRO
6. TEMPERATURE ANISOTROPIES OF CMBR
We shall now apply the formalism we have developed to understand the temperature anisotropies in the cosmic microwave background radiation which is probably the most useful application of linear
perturbation theory. We shall begin by developing the general formulation and the te... | 4 | [
-0.051025390625,
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0.023681640625,
-0.0166015625,
-0.0230712890625,
-0.0419921875... | 8,061 | 8061 | |
A Simple Quaternion-based Camera - Math and Physics - Articles - Articles
If you find this article contains errors or problems rendering it unreadable (missing images or files, mangled code, improper text formatting, etc) please contact the editor so corrections can be
made. Thank you for helping us improve this resour... | 4 | [
-0.14453125,
0.0106201171875,
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0.0908203125,
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0.0030517578125,
0.055908203125,
-0.08642578125,
0.00897216796875,
0.0048828125,
0.022... | 8,062 | 8062 | |
LaGrange Multipliers
April 16th 2009, 09:28 AM
wilcofan3
LaGrange Multipliers
Consider the problem of finding the points on the surface $xy+yz+zx=3$ that are closest to the origin.
1) Use the identity $(x+y+z)^2=x^2+y^2+z^2+2(xy+yz+zx)$ to prove that $x+y+z$ is not equal to 0 for any point on the given surf... | 5 | [
-0.0255126953125,
0.00787353515625,
-0.0771484375,
-0.0751953125,
-0.0086669921875,
0.050537109375,
0.0615234375,
-0.00787353515625,
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0.04052734375,
-0.007659912109375,
0.03173828125,
0.00848388671875,
-0.026123046875,
0.01275634765625,
-0.03344726... | 8,063 | 8063 | |
ODE Involving series
March 3rd 2008, 06:53 AM
ramzouzy
ODE Involving series
Please help me solve this using the power series method..(Thinking)
Consider the differential eqaution
(1-x^2)y'' - 2xy' + a(a+1)y = 0
Where a is a constant. Find solutions y_1, y_2 for the DE such that 1) each of them is th... | 5 | [
-0.11767578125,
-0.016845703125,
0.044189453125,
0.04443359375,
0.0274658203125,
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0.0517578125,
-0.0164794921875,
0.0859375,
-0.029541015625,
0.026611328125,
-0.0419921875,
-0.057861328125,
0.0166015625,
-0.08056640625,
-0.07080078125... | 8,064 | 8064 | |
Cannot Solve this Differential Equation
February 17th 2010, 06:44 PM
zerobladex
Cannot Solve this Differential Equation
I would like some help solving this differential equation if possible:
y'' + 2y' + y = xe^(-x)
I end up with the complementary solution of the equation being:
y = C1*e^(-x) + C2*... | 5 | [
-0.0859375,
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0.08740234375,
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0.026611328125,
-0.0106201171875,
... | 8,065 | 8065 | |
Evaluating indefinite integral thread number 1?
August 8th 2011, 11:31 AM #1
Senior Member
Joined
Dec 2010
From
CPT
Posts
302
Evaluating indefinite integral thread number 1?
Can anyone help me integrate the following functions
1.((x^2+x+1))/((square root(x))
The square root on the denominat... | 5 | [
-0.06298828125,
-0.0084228515625,
0.08935546875,
0.03955078125,
0.0186767578125,
0.017822265625,
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-0.0419921875,
0.0595703125,
0.0289306640625,
0.033203125,
-0.050048828125,
-0.0081787109375,
0.0177001953125,
-0.05712890625,
0.00286865234375,
0.0238037109375,
0.0246... | 8,066 | 8066 | |
Volume of region bounded by two graphs?
May 21st 2009, 04:57 PM
xvaliant
Volume of region bounded by two graphs?
The region is bounded by y=x^3 and y=x in the first quadrant.
I already found the area, but I'm having trouble with the volume.
First:
A)find the volume rotated around y=2
B) find vo... | 5 | [
-0.0108642578125,
-0.0322265625,
0.00274658203125,
-0.07177734375,
-0.042236328125,
-0.0771484375,
-0.0693359375,
0.06884765625,
0.014404296875,
-0.022216796875,
-0.051025390625,
0.012451171875,
0.064453125,
0.01336669921875,
0.046875,
0.0245361328125,
0.0089111328125,
-0.0859375,
... | 8,067 | 8067 | |
Math Help
find the shortest distance between the point (0,0,1) and the line (x-1)/2 = (y-2) /4 = (z-3) /4
i know there is a point (1,2,3) on the line. let that be point Q and P= (0,0,1) then PQ=(1,1,2) distance of PQ is sq root 18. and then im not sure what i can do alr..
You can't just choose a point on the line. T... | 4 | [
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-0.05859375,
-0.083984375,
-0.04638671875,
0.05615234375,
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0.08984375,
0.039306640625,
-0.00579833984375,
-0.00225830078125,
-0.004852294921875,
0.07373046875,
0.0810546875,
-0.1201171875,
0.048828125,
-0.018798828125,
-0.080078125,
-0.... | 8,068 | 8068 | |
Matrix Arithmetic Help...
September 25th 2009, 04:17 PM #1
Junior Member
Joined
Aug 2009
Posts
71
Matrix Arithmetic Help...
I am having two problems here. The first one I am somewhat confident of:
1. Show that in general, for any square matrix satisfying:
$A^2 - 2A + 5I = 0$
then
$A^{-1}... | 4 | [
-0.0302734375,
0.00335693359375,
0.0869140625,
0.007659912109375,
-0.000522613525390625,
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-0.0478515625,
-0.004058837890625,
0.06689453125,
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0.056396484375,
-0.07177734375,
0.0281982421875,
0.00421142578125,
... | 8,069 | 8069 | |
Derivatives and Tangent lines
September 26th 2009, 01:58 PM #1
Banned
Joined
Sep 2009
Posts
35
Derivatives and Tangent lines
As always, I have a very loose definition of what these things mean, so going slow would be appreciated.
1) g(x) = sqrt(9 + 4x)
2) 9cos(x) + (5/7)cot(x)
3) y = (6 + ... | 5 | [
-0.05029296875,
-0.039794921875,
0.03515625,
-0.0196533203125,
0.046142578125,
0.0125732421875,
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0.0262451171875,
0.014892578125,
0.00701904296875,
0.0791015625,
-0.0147705078125,
-0.032470703125,
-0.007232666015625,
0.023193359375,
-0.01495361328125,
-0.061279296875... | 8,070 | 8070 | |
Critical Points
The critical points are where \displaystyle \begin{align*} h'(x) = 0 \end{align*}.
after setting the derivative to 0 I got x=0 is that correct?
I used my calculator for that I got ( -4x ) / ( -4 ( x^2 - 2.25) ^ (1/2) )
Well if you were going to do it by hand, do it this way... \displaystyle \begin{al... | 5 | [
0.059814453125,
0.032470703125,
0.009765625,
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0.08056640625,
0.01318359375,
-0.064453125,
0.038818359375,
0.025634765625,
-0.11328125,
-0.... | 8,071 | 8071 | |
Find the smallest number
1. November 1st 2012, 03:45 PM #1
2. November 1st 2012, 03:47 PM #2
Re: Find the smallest number
Hint: $\sin(\theta)=\sin(\theta+2k\pi)$ where $k\in\mathbb{Z}$.
3. November 1st 2012, 03:50 PM #3
4. November 1st 2012, 04:00 PM #4
Re: Find the smallest number
Use ... | 4 | [
-0.028076171875,
0.06787109375,
0.0035858154296875,
0.013916015625,
-0.034423828125,
0.04638671875,
-0.006195068359375,
0.05810546875,
0.06982421875,
-0.0150146484375,
0.013427734375,
-0.0303955078125,
0.0157470703125,
0.04443359375,
-0.028076171875,
-0.0086669921875,
-0.013305664062... | 8,072 | 8072 | |
Closure of singular points
up vote 3 down vote favorite
Let $f(x,y)$ be a complex degree $d$ polynomial that has this particular form.
$$ f = \frac{f_{02}}{2} y^2 + \frac{f_{21}}{2} x^2 y + \frac{f_{12}}{2} x y^2 + \frac{f_{03}}{6} y^3 + \frac{f_{40}}{24} x^4+ \ldots $$
This polynomial $f$ can be thought of as an el... | 4 | [
0.006622314453125,
0.0086669921875,
-0.04443359375,
0.033203125,
0.026611328125,
-0.000278472900390625,
0.03857421875,
0.059814453125,
0.012939453125,
-0.0223388671875,
0.1064453125,
-0.00994873046875,
-0.10400390625,
-0.0196533203125,
-0.01611328125,
0.015380859375,
-0.09375,
-0.0... | 8,073 | 8073 | |
Implicit differentiation
January 6th 2010, 01:58 AM
bobred
Implicit differentiation
Hi
We are asked to solve the following by Implicit differentiation, though I have never encountered this before. Here is the equation
$(x+y)\sin(xy)=1$
Can anyone please help and explain what they are doing?
T... | 5 | [
-0.072265625,
-0.0302734375,
-0.058837890625,
0.07421875,
0.0166015625,
0.01544189453125,
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-0.12109375,
-0.06201171875,
-0.007080078125,
0.0947265625,
0.0634765625,
-0.025146484375,
0.058837890625,
0.09619140625,
0.06982421875,
-0.1015625,
-0.00592041015625,
-0.02... | 8,074 | 8074 | |
# of sophomore girls? Taylor expansion? ...
December 6th 2006, 01:26 AM
CaptainBlack
Quote:
5. Cards from an ordinary deck are turned face up one at a time (w/o replacement). Compute the expected number of cards that need to be turned face up in order to obtain 2 aces.
Captainblack, this was the way y... | 5 | [
-0.0240478515625,
0.0284423828125,
-0.005767822265625,
0.01806640625,
0.0361328125,
-0.052978515625,
0.0213623046875,
0.015869140625,
0.042236328125,
-0.0011138916015625,
-0.00823974609375,
-0.054443359375,
-0.021728515625,
-0.07666015625,
0.021728515625,
0.054443359375,
-0.017944335... | 8,075 | 8075 | |
Irrational number
February 27th 2010, 09:54 AM #1
Banned
Joined
Sep 2009
Posts
502
Irrational number
At Dr. Math, I read about irrational number being not a closed system. The writer proved it by showing that $\sqrt{2}$ multiplied by itself produces a non-irrational number, and that $(\pi-1)+(6-
\pi)... | 4 | [
-0.043701171875,
-0.109375,
-0.0068359375,
0.004669189453125,
-0.032958984375,
0.0011444091796875,
0.0079345703125,
-0.034912109375,
0.0615234375,
-0.004180908203125,
-0.0625,
0.00787353515625,
0.10009765625,
0.03125,
0.032470703125,
-0.022705078125,
-0.03759765625,
0.032958984375,... | 8,076 | 8076 | |
About even and uneven numbers and about rational and irrational numbers
September 14th 2008, 09:00 AM #1
Newbie
Joined
Sep 2008
Posts
4
About even and uneven numbers and about rational and irrational numbers
ok I have some problems that I need help with:
if a^2 is even, then prove that a is even too
... | 4 | [
-0.03125,
0.00106048583984375,
0.0380859375,
0.07470703125,
-0.0478515625,
0.0830078125,
0.006256103515625,
-0.0185546875,
-0.008056640625,
-0.06640625,
0.020751953125,
-0.0341796875,
0.042236328125,
0.1181640625,
0.0203857421875,
-0.018310546875,
-0.01043701171875,
0.032958984375,... | 8,077 | 8077 | |
a messy looking ODE system
December 16th 2009, 05:09 AM #1
Member
Joined
Jan 2008
Posts
114
a messy looking ODE system
I have 6 ODES:
$W\frac{dl_E}{dt} = -l_E\rho_F + \psi_Ll_B$
$\frac{dl_B}{dt} = \rho_Fl_E - (\psi_L + \chi_L)l_B$
$\frac{dl_I}{dt} = \chi_Ll_B - \omega_Ll_I$
$\sigma\frac{... | 4 | [
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-0.09130859375,
0.035400390625,
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0.00225830078125,
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0.004302978515625,
-0.016845703125,
0.07861328125,
0.01226806640625,
-0.0654296875,
0.05908203125,
-0.060791015625,
-0.03662109375,
0.1142578125,
-0.0771484375,
-0.0088... | 8,078 | 8078 | |
Math Forum Discussions
Re: SONNTAG! Symmetries of Nature 'n' Truth about Gravity(& Planck Units).
Posted: Feb 27, 2013 11:36 AM
Talking of symmetries: The Gm product of the proton mass multiplied by the
quantum adjustor, 3.62994678, is equal to the Planck radius times Gmc/2,
4.050599332x10^-37. If we substitute 2/c fo... | 5 | [
-0.06982421875,
-0.004486083984375,
-0.0283203125,
-0.005340576171875,
-0.04443359375,
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-0.0213623046875,
0.06591796875,
-0.018310546875,
-0.06494140625,
0.058349609375,
-0.150390625,
-0.06103515625,
0.00872802734375,
0.059326171875,
0.051513671875,
0.04638671875,
0... | 8,079 | 8079 | |
dy
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Here's the question you clicked on:
1.
modphysnoob Group Title
Best... | 5 | [
-0.0498046875,
0.042724609375,
-0.0439453125,
-0.02685546875,
0.02978515625,
0.0196533203125,
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0.0576171875,
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0.04443359375,
0.048095703125,
-0.042724609375,
0.030517578125,
0.005096435546875,
-0.048095703125,
0.10986328125,
-0.09716796875,
0.02294921875,
... | 8,080 | 8080 | |
limit refresher
May 12th 2009, 06:09 AM
pberardi
limit refresher
Could some please explain how to take this limit?
lim x ->2/3 1/(3x-2)^3
and a similar one
lim x ->2/3 7/(3x-2)^2
Thanks,
May 12th 2009, 06:23 AM
Calculus26
lim x ->2/3 1/(3x-2)^3 yields 1/0 so the limit could be inf,-inf... | 4 | [
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-0.04833984375,
-0.08740234375,
0.00836181640625,
-0.0002994537353515625,
0.0004062652587890625,
-0.00848388671875,
-0.03662109375,
0.05810546875,
-0.0032501220703125,
0.0262451171875,
-0.0654296875,
0.0380859375,
0.00775146484375,
0.03515625,
-0.055908203125,
-0.02294... | 8,081 | 8081 | |
Remainder Theorem
September 28th 2008, 07:21 PM #1
Newbie
Joined
Sep 2008
Posts
1
Remainder Theorem
Hey guys, check this question out - its a toughie for sure :
The expression f(x) = ax^3+bx^2-10x+24 is exactly divisible by x^2-2x-8. Find a and b. Solve f(x) = 0. Find the remainder when f(x) is divi... | 4 | [
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0.012573... | 8,082 | 8082 | |
A question about the $C^{2,\alpha}$ regularity of concave fully nonlinear uniformly elliptic equation
up vote 3 down vote favorite
While reading Theorem 6.6 of Chapter Six of "Fully nonlinear elliptic equation" by Luis A. Caffarelli and Xavier Cabre in the American mathematical society colloquium publications vol. 43,... | 4 | [
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Showing an equilibrium point with an inequality
March 4th 2010, 01:30 PM #1
Newbie
Joined
Mar 2010
Posts
4
Showing an equilibrium point with an inequality
Given $\frac{dy}{dt}=r(1-\frac{y}{k})y-Ey$
if $E<r$ show that there are two equilibrium points given by $y_{1}=0$ and $y_{2}=k(1-\frac{E}{r})>0$
... | 4 | [
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Integration by substitution
November 3rd 2010, 02:43 AM #1
Member
Joined
Sep 2009
Posts
145
Integration by substitution
Hi,
Is this correct? Else, may I have some assistance please?
If $x = 4\cos^2 \theta + 7 \sin^2\theta$, show that $7 - x = 3\cos^2\theta$, and find a similar expression for $x... | 5 | [
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0.0202636... | 8,085 | 8085 | |
Need help with a number theory proof
July 20th 2012, 11:02 PM #1
Newbie
Joined
Jul 2012
From
United States
Posts
4
Need help with a number theory proof
Is there a way to show that if there exists two natural numbers a and b coprime to each other, and a third prime p coprime to both a and b, that a^3 ... | 5 | [
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Bricks to Cover a Steeple
Date: 08/23/97 at 15:43:29
From: Bailey Rector
Subject: Bricks to cover a steeple
Our Literature teacher asked us to figure out how many bricks it would
take to cover the steeple of a Roman Church in Florence.
The steeple is an octagon with a diameter of 130 feet and a height of
370 feet. ... | 5 | [
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0.0... | 8,087 | 8087 | |
radius of convergence of the power series
April 1st 2011, 05:27 PM
tsang
radius of convergence of the power series
Hi, can anyone please help me with this question?
Let $\displaystyle \sum_{n=0}^{\infty} a_n z^n$ be a power series with complex coefficients $a_n$ such that $\displaystyle \sum_{n=0}^{\infty} ... | 5 | [
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... | 8,088 | 8088 | |
Essential self-adjointness of differential operators on compact manifolds
up vote 13 down vote favorite
7
Let $L$ be a linear differential operator (with smooth coefficients) on a compact differentiable manifold $M$ (without boundary). Suppose $M$ is endowed with a smooth volume form (actually, a smooth
volume density... | 5 | [
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Krylov Spaces
April 2nd 2009, 12:34 PM #1
Junior Member
Joined
Mar 2009
Posts
46
Krylov Spaces
Let A be the nxn matrix whose elements in position (i, i+1) are equal to 1, $1\leq i \leq n-1$, while all other elements are zero. Let b = $e_{n-1}$. Show that the solution to Ax=b does not lie
in $K_j(A,b)... | 5 | [
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Specific rotation
The specific rotation of a chemical compound [α] is defined as the observed angle of optical rotation α when plane-polarized light is passed through a sample with a path length of 1 decimeter and a
sample concentration of 1 gram per 1 deciliter. The specific rotation of a pure material is an intrinsi... | 4 | [
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Another Chi square - s^2 defintion
December 12th 2009, 10:57 PM #1
Another Chi square - s^2 defintion
Dear Matheagle,
You still there? Here's another one that I've been spending too much time on. Can you please help?
The problem reads:
Let $X_1, X_2,..., X_n$ be iid r.v.s from $Normal (\mu, \sigma)$... | 5 | [
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Triangle inequality for n complex numbers
February 10th 2011, 05:38 PM
Jame
Triangle inequality for n complex numbers
I am trying to prove that
$|z_1+z_2+...+z_n| = |z_1| + |z_2| + ... |z_n|$
iff $z_i/z_j$ is a positive real number $\forall$ integers i and j, s.t. $i,j \in$$\left\{ 1,...,n \right\}$
... | 4 | [
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Three Pieces of Wire
Date: 01/07/98 at 22:11:58
From: Email
Subject: I need serious help
Here is my math problem. I have no idea how to figure it out:
A florist cuts a wire into 3 pieces. The 1st piece is 20% of the 2nd.
The 3rd piece is 110% of the 2nd. The wire is 23 cm long. What is the
length of each piece?
Er... | 4 | [
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Position, Velocity, Acceleration, Gravity and Trajectory for Game Physics
Position, Velocity, Acceleration, Gravity and Trajectory for Game Physics
Have you ever wondered what Game Physics is? Is it that important? You probably heard of people commenting on some games and they are saying: “Wow! This game is a physics... | 4 | [
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2nd order ODE with a catch
June 15th 2011, 03:11 PM
Lancet
2nd order ODE with a catch
I have an odd ODE question that I could use a hand with...
----------------
$y'' - y' - 2y = 0$
$y(0) = a$
$y'(0) = 2$
Find "a" so that the solution approaches 0 as t approaches infinity.
---------... | 4 | [
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Math Help
May 21st 2012, 07:50 PM #1
If $x^2+abx+c=0 \mbox\ {and} \ x^2+acx+b=0$ quadratic equations have a common root.prove b=c or the other roots are the roots of $a(b+c)x^2+(b+c)-abc=0$
Re: Algeb
The roots of the first equation are
\displaystyle \begin{align*} x &= \frac{-ab \pm \sqrt{(ab)^2 - 4(1)... | 4 | [
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solve for k
March 30th 2009, 03:04 AM #1
Member
Joined
Jan 2009
From
earth
Posts
167
i don't know how to solve this, any help is appreciated.
1. find the values of k such that $3x^2+kx+11=0$
2. find the value of so that the equation $6x^2-(k+4)x-9=8x$ has roots that are numerically equal but... | 4 | [
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Autonomous systems - stability of dy/dt - y = 1
February 27th 2013, 08:48 PM
visharad
Autonomous systems - stability of dy/dt - y = 1
a) Solve dy/dt - y = 1
b) What should be the value of y(0) = yo so that the solution to part a is finite even when t -> infinity
This is how I tried:
a) dy/dt - y = 1... | 5 | [
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