content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Automata and the A-D-E classification.
Introduction
The
A-D-E
classification is a strange ubiquitous pattern that appears in many branches of mathematics. Typically it appears when you try to classify certain types of mathematical construction. If the A-D-E
classification applies then you end up with two infinite se... | 4 | [
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-0.0422... | 8,500 | 8500 | |
Math Forum Discussions
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Topic: Prime numbers and pi
Replies: 33 Last Post: Dec 10... | 5 | [
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-0.0341796875,
-0.060791015625... | 8,501 | 8501 | |
Proof of the yield curve being nondecreasing.
March 24th 2012, 05:04 PM
Kuma
Proof of the yield curve being nondecreasing.
I need to show that the yield curve defined by
r(t) = 1/t integral r(s) ds from 0 to t is a nondecreasing function iff:
P(αt) ≥ (P(t))^α, for all 0<=α<=1 , t>= 0
and P(t) i... | 4 | [
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0.0625,
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0.0419921875,
0.03... | 8,502 | 8502 | |
Calculus/Quadratics problem
March 19th 2011, 04:58 AM
LandLBoy
Calculus/Quadratics problem
The descent of a roller coaster starts at the max point of a parabola whose equation is y= 100 - 1/4x^2 and ends along the horizontal line y = 0. In order to make the ride smooth, a section of
track following the graph... | 4 | [
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general solution to DE
dy/dx +2y/x = 4x
find general solution
dy/dx= 4x + x/2y
2y dy = 4x + x dx
2y dy = 5x dx
integrate
y^2 = 2.5 x^2 + C
| 5 | [
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... | 8,504 | 8504 | |
Jordan Canonical form problem
April 23rd 2008, 02:02 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Jordan Canonical form problem
Find the Jordan Canonical form of the following matrice:
$\begin{bmatrix} 1 && 2 \\ 3 && 2 \end{bmatrix}$
For this one, here is what I have so far:
F... | 5 | [
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-0.070312... | 8,505 | 8505 | |
[SciPy-User] Integration over Voronoi cells
Friedrich Romstedt friedrichromstedt@gmail....
Thu Nov 24 09:57:20 CST 2011
2011/11/24 Eraldo Pomponi <eraldo.pomponi@gmail.com>:
> Dear Friedrich,
> First of all let me thank you for your suggestions. It took a little bit to
> get into them
> but I still have some BIG doub... | 4 | [
-0.06787109375,
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0.0111083984375... | 8,506 | 8506 | |
related rates help
November 23rd 2009, 04:24 PM #1
Junior Member
Joined
Oct 2009
Posts
30
related rates help
The Question is:
Water drains from the conical tank shown in the figure at the rate of 5ft^3/min.
How fast is the water level dropping from when h=6ft?
ok the relation between the var... | 5 | [
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Volume of an Elliptical Cone
Date: 10/15/98 at 12:33:51
From: francesca
Subject: Volume for elliptical cone
Can you enlighten me on how to find the volume for an elliptical cone?
I've tried many approximations. I'm looking for an equation or analysis
by integration.
Thanks,
Francesca
Date: 10/16/98 at 08:22:03
F... | 5 | [
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Spot my mistake please...
September 7th 2010, 10:58 PM
cyt91
Spot my mistake please...
In a class of 30 students,10 of them come to school by bus,12 students walk to school and the others by car. 6 students are randomly selected. Find the probability that
(a) only 1 student come to school by car (ans:0.3548... | 5 | [
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Estimating the sum of a series
July 6th 2008, 09:29 PM #1
Junior Member
Joined
Jun 2008
Posts
46
Estimating the sum of a series
Hello once again,
I have this problem that wants me to estimate the sum of a given series within 0.0001.
"Consider the series $\sum_{k=1}^{\infty}\frac{{4(-1)^k}}{(3^k... | 5 | [
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Area Under an Inverted Catenary
December 2nd 2009, 01:01 PM #1
Newbie
Joined
Dec 2009
Posts
2
Area Under an Inverted Catenary
Greetings all, this is my first post on these forums.
I'm attempting to construct an inverted catenary that will intersect the x-axis at y=0 and y=1 and have an area of 1 bou... | 5 | [
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DeMoivre's theorem
January 14th 2007, 09:25 PM #1
Junior Member
Joined
Jan 2007
Posts
30
DeMoivre's theorem
I have this problem and I want to make sure I understand it.
Use DeMoivre's theorem to write [3cis(pi/2)][squared] in the form a + bi without trigonometric functions.
Hello, Mike!
Us... | 5 | [
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average velocity and Mean Value Theorem
April 27th 2008, 11:40 AM #1
average velocity and Mean Value Theorem
ok, couple problems:
they give you a graph of velocity [IMG]file:///C:/DOCUME%7E1/student/LOCALS%7E1/Temp/moz-screenshot-1.jpg[/IMG] [IMG]file:///C:/DOCUME%7E1/student/LOCALS%7E1/Temp/moz-screenshot-2... | 5 | [
0.0294189453125,
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-0.0167236328125,
-0.00604248046875,
... | 8,513 | 8513 | |
'Warm Up' #2 (not a 5-minute one, perhaps)
[After writing several thousand SAT-type problems over the years and authoring many math contests here in my state, I should be able to come up with a few of these. Now if I could only locate those
250 file folders with the materials...]
Some geometry today...This question is... | 4 | [
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Solving a Quartic Polynomial using a Trig Substitution
Date: 12/27/2001 at 15:23:23
From: Kevin Sobieski
Subject: Algebra
I need help solving this system:
y/sqrt(y^2+64) = (x+y)/25
x/sqrt(x^2+64) = (x+y)/20
I tried solving for y in terms of x, but after 1.5 pages, I still
don't have my answer. Is there an e... | 5 | [
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... | 8,515 | 8515 | |
factorization
October 25th 2008, 05:51 PM #1
Junior Member
Joined
Sep 2008
Posts
73
factorization
okay here is some of the questions i couldn't do
factorize the following fully
a) 8(m^2)+4m+2
b) (x^2)-3xy-4(y^2)-6x-6y
c) (x^3)-4(x^2)-12x-(x^2)y+36y
d) (x^2)-9(y^2)-3xz-9yz
well,... | 4 | [
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Oracle counterexample to finding pseudoprimes
From Polymath1Wiki
One can consider the following soft generalisation to the finding primes conjecture:
Soft conjecture Suppose one has a set S of integers which is in P, and which is at least as dense at the primes (thus the set of k-digit elements of S has density ... | 4 | [
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0.05273... | 8,517 | 8517 | |
partial fractions
July 29th 2007, 11:53 AM
davecs77
partial fractions
I understand how to do these, but I am stuck on how to solve for these 4 variables i got in these equations:
A + C = 2
B + D = 0
A + C = 0
B + D = 0
..just incase i messed up..my original equation is
integral of (2x^3)... | 5 | [
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... | 8,518 | 8518 | |
Calculus Derivatives of Trig Functions
The derivatives of trig functions are a bit different.
Look at the sine function, and the slope of the sine function
at some selected points.
┌──────────────┐
│ F(X) = sin X │
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How do I estimate limits of agreement when the mean or SD of differences is not constant?
The simple 95% limits of agreement method relies on the assumptions that the mean and standard deviation of the differences are constant, i.e. that they do not depend on the magnitude of the
measurement. In our original papers, w... | 5 | [
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(A very limited instance of) Lagrange's Theorem's converse and A_5
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Suppose $G$ is a finite simple group and $|G|$ is a multiple of $60$. Does it follow that $G$ has a subgrou... | 4 | [
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Tumbler Reverse for 10×22 lathe
The Grizzly G0602 is a great lathe, but it doesn’t have gears to allow cutting left-hand threads. It also lacks a neutral, so the leadscrew always turns unnecessarily. This simple mod can remedy both
these inadequacies.
This page will serve as my build log for the reverse. I got the id... | 4 | [
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-0.001... | 8,522 | 8522 | |
rbelos
Pappus's Arbelos
Move your cursor into the following applet:
The arbelos is the area between the 3 red semicircles. Archimedes (287 to 212 B.C.) wrote of its mysterious properties. People are still learning about it.
Pappus in about 320 A.D. wrote about one particular problem. The Arbelos is successively filled... | 4 | [
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0.... | 8,523 | 8523 | |
The diophantine equation X^2 - Y^2 - Z^2 = +- 1
up vote 4 down vote favorite
5
Hi everybody. I'd like to know if the diophantine equation
(1) $$X^2 - Y^2 - Z^2 = \pm 1$$
has been studied and if the set of its solutions $(X,Y,Z)$ is known. I appreciate any reference. Thank you very much.
P.S. If instead we look at t... | 5 | [
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Questions for Modules 4-5
Note: you should try these questions after you have read and understood modules 4-5 and chapters 7-12.
Note: draw the curve and label if this was a real test. You would also want to show all of your work.
... | 4 | [
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-0.0037994384... | 8,525 | 8525 | |
Induction on .999...
Date: 10/19/2000 at 08:19:40
From: Blake Thomson
Subject: Further questions on .999... = 1
I have been having an argument with my physics teacher over the fact
that point nine recurring (.999... or PNR) equals 1. I showed him the
proof on your site and he pointed out a fact that I hadn't noticed... | 5 | [
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Multiple Integrals! Jigga Wha?!
In Multivariable Calculus today, I let my kids loose. We are starting our chapter on multiple integrals, and I generally start out just dryly explaining what integration in higher dimensions might
look like. But today, I decided to scrap that and have my kids try to see if they could ge... | 5 | [
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... | 8,527 | 8527 | |
n degree function
May 9th 2010, 10:56 PM #1
n degree function
the diagram shows the graph of y=x^n, where n is an integer. given that the curve passes between the points (2,200) and (2, 2000), determine the value of n.
i just dont get this question. what does it mean precisely to 'pass between the points', ho... | 4 | [
0.000247955322265625,
0.0303955078125,
-0.017333984375,
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0.0272216796875,
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-0.004058837890625,
0.076171875,
-0.0189208984375,
0.031494140625,
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-0.0011138916015625,
0.052978515625,
0.000255584716796875,
0.078125,
0.0927734375,
-0.08... | 8,528 | 8528 | |
Confusing Rates of Change
April 9th 2010, 05:24 AM
Sunyata
Confusing Rates of Change
Hi
How do I do this:
A lamp is 40 m above the ground and a stone is dropped from the same height at a point 10 m away. Find the speed of the shadow on the ground given that in t seconds the stone falls $4.9t^2$ m.
... | 5 | [
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0.0859375,
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-0.00141143798828125,
0... | 8,529 | 8529 | |
Word Problems involving percents.
June 4th 2007, 11:33 AM #1
Newbie
Joined
Jun 2007
Posts
3
Word Problems involving percents.
Here is my problem:
What number increased by 6% of itself equals 2650?
I've gotton to the point of: 1.06x=2650 0VER 1.06(in a fraction). But I'm stuck on what to do nex... | 4 | [
0.052490234375,
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0.08203125,
0.0546875,
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0.00738525390625,
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0.0727... | 8,530 | 8530 | |
Binomial Coefficients
#include <boost/math/special_functions/binomial.hpp>
namespace boost{ namespace math{
template <class T>
T binomial_coefficient(unsigned n, unsigned k);
template <class T, class Policy>
T binomial_coefficient(unsigned n, unsigned k, const Policy&);
}} // namespaces
Returns the binomial coeffi... | 4 | [
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-0.015625,
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-0.0126953125,
0.03198... | 8,531 | 8531 | |
Empirical Formula - Molecular Formula
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Empirical Formula - Molecular Formula 29,994 views
An empirical formula is the lowest ratio of the atoms within a molecule. The empirical formula is accurate when describi... | 4 | [
0.07177734375,
-0.052001953125,
0.0169677734375,
0.03369140625,
0.05078125,
-0.032958984375,
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0.0255126953125,
0.1279296875,
0.05859375,
0.0576171875,
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0.0556640625,
0.072265625,
-0.00823974609375,
-0.0120849609375,
0.0654296875,
... | 8,532 | 8532 | |
Triangles
May 7th 2007, 06:24 AM
pow3r2dapplz
Triangles
For both 1 and 2 use the Trigonometric Ratios Table in this link : Trigonometric Ratios Table
For number 1: Find the measure of angle A correct to the nearest degree.
For number 2: Find the measure of angle B correct to the nearest degree.
Co... | 4 | [
-0.044921875,
0.06689453125,
-0.07080078125,
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0.03271484375,
0.044921875,
-0.039306640625,
-0.022705078125,
0.004730224... | 8,533 | 8533 | |
Values of Trig Functions
Theta=SinInverse(8/17) Find the values of the 6 Trigonometric Functions..... Cos, Tan, Cot, Cos, Sec and Sin
Quote: Originally Posted by Luckyjoshua Here is an easy method, Since, $\theta=\sin^{-1}(8/17)$, means that, $\sin \theta=8/17$ Thus, the sine of an angle in the triangle is 8/17 whenev... | 4 | [
-0.037841796875,
0.07275390625,
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0.004638671875,
-0.0146484375,
... | 8,534 | 8534 | |
Quadrilateral worded question...
January 28th 2011, 03:13 PM
mandarep
Quadrilateral worded question...
ABCD is a quadrilateral with angle ABC a right angle. D lies on the perpendicular bisector of AB. The coordinates of A and B are (7, 2) and (2, 5) respectively. The equation of line AD is y=
4x-26.
I've... | 4 | [
-0.053955078125,
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-0.076171875,
-0.0... | 8,535 | 8535 | |
Solving sum
Start with the binomial expansion $(p+q)^n = \sum_{k=0}^{n}\binom{n}{k}p^kq^{n-k}.$ Differentiate partially with respect to p (keeping q constant), then multiply both sides by p. That will give $np
(p+q)^{n-1} = \sum_{k=0}^{n}\binom nk kp^kq^{n-k}.$ Now do the same thing again: $np(p+q)^{n-1} + n(n-1)p^2(p+... | 4 | [
0.02392578125,
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0.09375,
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0.033447265625,
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0.04150390625,
-0.0218505859375,
0.0205078125,
0... | 8,536 | 8536 | |
[SciPy-user] stopping criterion for integrate.odeint?
Fernando Perez Fernando.Perez at colorado.edu
Wed Mar 23 18:34:53 CST 2005
Ryan Gutenkunst wrote:
> Consider the integration of dy/dt where y can be a vector. We want to
> know exactly when the condition c(y) = 0 is satisfied. We integrate
> dy/dt from 0 to som... | 4 | [
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0.006683349609375,
-0.015869140625,... | 8,537 | 8537 | |
Are there any solutions to $2^n-3^m=1$
up vote 5 down vote favorite
2
Are there any positive integer solutions to $2^n-3^m=1$ with $n,m>2$ ?
By way of justifying the question, I've found lots of info on what happens where $m=n$ (mostly FLT variantions, Darmon + Merel,...) but don't really know where to look for $m\no... | 5 | [
-0.035888671875,
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0.036376953125,
-0.027099609375,
-0.... | 8,538 | 8538 | |
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Topic: Integral test
Replies: 17 Last Post: Dec 20, 2012 ... | 5 | [
-0.08251953125,
-0.01043701171875,
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0.09912109375,
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-0.0751953125,
-0.03369140625,
0.006866455078125,
-0.0673... | 8,539 | 8539 | |
Proofs-squares
prove that the sum of two odd squares cannot be a square
Hello, anncar! A variation of Dan's explanation . . . Prove that the sum of two odd squares cannot be a square. If $n$ is even, $n = 2k$, its square is: . $n^2 \:=\:(2k)^2\:=\:4k^2$ . . The square of
an even number is a multiple of 4. .[1] If $n$ ... | 4 | [
0.01348876953125,
0.07177734375,
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0.022705078125,
-0.001434326171875,
-0.0771484375,
-0.00592041015625,
0.0306396484375,
-0.0047912... | 8,540 | 8540 | |
LRT, exponential
February 27th 2011, 03:03 AM #1
Senior Member
Joined
Nov 2010
From
Hong Kong
Posts
255
LRT, exponential
Could you please take a look if my answer makes sense- I don't have a solution to this practice question. Also, I am not quite sure how to read the data in part (c).
Question
... | 5 | [
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0.03759765625,
-0.036865234375,
-0.022... | 8,541 | 8541 | |
Algebra, Problems For Fun! (4)
January 6th 2009, 10:59 AM #1
MHF Contributor
Joined
May 2008
Posts
2,295
Thanks
7
Algebra, Problems For Fun! (4)
Ok, for this one you only need some very basic knowledge of group theory:
Let $G$ be a finite non-abelian group and $|G|=n.$ Let $k$ be the number of c... | 5 | [
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0.051513671875,
0.025146484375,
... | 8,542 | 8542 | |
A question about partial derivatives and directional derivative.
February 23rd 2010, 06:41 PM #1
Member
Joined
Jul 2009
Posts
120
A question about partial derivatives and directional derivative.
Assume $f$ is a real-valued function defined on an open set $E$ of $\mathbb R^n$ and all partial derivatives o... | 5 | [
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0.078125,
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-0.... | 8,543 | 8543 | |
'Why' Questions in Math
Date: 04/19/2002 at 13:09:14
From: Sharyn
Subject: "Why" Questions in Math
Is math a bad area for asking 'why' questions?
In science, when one asks why, there seems to be a "real" (to me)
answer. Such as chemistry, where one can identify a chain of concrete
events that leads to "now." But if... | 4 | [
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0.0152587890625,
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-0.048095703125,
-0.05712890625,
0.0... | 8,544 | 8544 | |
Finding the derivative
September 15th 2009, 05:10 PM #1
Member
Joined
Jan 2008
Posts
118
Finding the derivative
f(x) = 1/x
a = 2
Use the definition:
f' (a) = lim as x approaches a of f(x) - f(a) / x - a
Can someone help?
$f(x) = \frac{1}{x}$
$f'(x) = \lim_{h \to 0}\frac{f(x + ... | 4 | [
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0.033447265625,
0.0159912109375,
0.052490234375,
-0.012... | 8,545 | 8545 | |
Math Help
August 3rd 2013, 08:22 AM #1
Newbie
Joined
Aug 2013
From
Mauritius
Posts
12
Thanks
1
Functions
Functions f and g are defined for x E R by
f:x --->e^x
g:x--->2x-3
(i) Solve the equation fg(x)=7
Function h is defined as gf
(ii)Express h in terms of x and state its ... | 5 | [
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0.0211181640625,
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0.02734375,
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-0.072265625,
-0.015... | 8,546 | 8546 | |
the probability of bricks arranged randomly.
August 16th 2012, 08:04 AM
Mhmh96
the probability of bricks arranged randomly.
if someone have 4 red bricks and 8 blue bricks ,he want to arrange them randomly in circular shape, What is the probability that two red bricks are not side by side?
August 16th 2012, 10:... | 4 | [
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... | 8,547 | 8547 | |
find MGF given PMF
November 12th 2009, 08:12 AM #1
Junior Member
Joined
Oct 2008
Posts
39
find MGF given PMF
I'm given pmf of X is (1/2)^(x+1) and asked to find the moment generating function.
so i have MGF = sum{(exp(xt))*(1/2)^(x+1)}
sum((1/2)^x) goes to 1.
but the exp(x) either blows u... | 5 | [
-0.0198974609375,
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0.03662109375,
0.01031494140625,
-0.0181884765625,
-0.02587890625,
-0.0634765... | 8,548 | 8548 | |
Homeomorphic sets.
Please show that [0,1)x[0,1) is homeomorphic to [0,1]x[0,1). Thank you...
Attachment 25108 There are a ton of ways to do this. The common approach is to rely on expansions and contractions of line segments, and note that they're not merely continuous, but are also
continuous in their parameters. i.e... | 5 | [
0.04931640625,
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0.06591796875,
-0.0022735595703125,
-0.0810546875,
-0.080078125,
-0.0698242187... | 8,549 | 8549 | |
Writing system of linear equations.
November 21st 2010, 09:06 AM
kensington
Writing system of linear equations.
Could someone help me with the folowing question please
Using the following data:
Attachment 19794
Write down the system of linear equations with
a1....... a11 as unknowns such that
... | 4 | [
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-0.0025787353515625,
0.0184326171875,
0.1240234375,
-0.10546875,
-0.0278320... | 8,550 | 8550 | |
Combinations of random variables
April 13th 2009, 08:08 AM #1
Junior Member
Joined
Feb 2009
Posts
40
Can anyone help me on the following Pls?
The random variable X has p.d.f given by
f(x) = x/2 0£ x £ 2
0 otherwise
(a) Find the c.d.f of X, FX(x).
The random variable Y = X2 and takes v... | 5 | [
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0.042236328125,
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0.00003814697265625,
0.052001953125,
0.072265625,
0.0615234375,
-0.035888671875,
-0.032226... | 8,551 | 8551 | |
Cauchy-Frobenius-Burnside Theorem
Use the Cauchy-Frobenius-Burnside Theorem to determine the number of graphs of order 5. Can someone please assist with this question.
The setup seems like it must be this: Let $V = \{v_1, v_2, v_3, v_4, v_5\}, G = Sym(V), X = \{ (x_1, x_2) \in V \times V | x_1 e x_2 \}$ Then G induces... | 4 | [
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0.057373046875,
-0.0189208984375,
-0.02563... | 8,552 | 8552 | |
Implicit Differentiations
September 29th 2008, 10:03 PM #1
Newbie
Joined
Sep 2008
Posts
2
Implicit Differentiations
I understand the concept behind this type of funciton, but am unable to simplify it into the for that my teacher wants:
2x^2-3y^2 = 4, d^2y/dx^2 (second derivative)
The answer is ... | 5 | [
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$2$-torsion line bundles on abelian varieties
up vote 5 down vote favorite
2
Let $\mathcal{A}_{g,D}$ be the moduli space of abelian varieties of dimension $g$ and polarization $D$ of type $(d_1, \ldots, d_g)$.
Let $\mathcal{M}$ be the moduli space parametrizing pairs $(A, \mathcal{L})$, where $A \in \mathcal{A}_{g,D}... | 5 | [
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vectors, find v, a, s
September 8th 2009, 08:03 PM
Arez
vectors, find v, a, s
Quote:
If both u X v = 0 and u.v = 0, what can you conclude about u or v
i don't know what theyre getting at
Quote:
Find velocity v, acceleration a, and speed s at the indicated time t = t1 for r(t) = sin2ti + cos3... | 5 | [
-0.04638671875,
0.06298828125,
-0.051025390625,
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0.00101470947265625,
-0.048828125,
-0.0322265625,
-0.05322265625,
0.0257568359375,... | 8,555 | 8555 | |
solve in Z
Note that 8 is a solution to both equations. 11*9=99 8+99 is also a solution. (Why?) Similarly 8+2*99 is also a solution. Conclusion: 8+99k is the general solution, where k is any integer.
The conclusion is valid, the argument less so. If once cites the Chinese Remainder theorem, that argument would be suff... | 5 | [
-0.09716796875,
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0.0118408203125,
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0.032470703125,
0.032958984375,
-0.052490234375,
-0.080078125,
0.0164794921875,
0.0... | 8,556 | 8556 | |
20th WCP: Philosophy of Contents: Form and Coulomb's Law
I. Introduction
The purpose of this article is to demonstrate how disregarding the philosophical approach at solving physics problems, on the basis of a concrete example of dimensionality establishment, leads to
serious consequences, and to what extent. A transf... | 4 | [
-0.04931640625,
0.0673828125,
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Related to fractional ideals
up vote 2 down vote favorite
1
$K$ a field, $A\subset K$ a subring, $M\subset K$ an $A$-submodule. Define $$(A:_{K}M):= \lbrace s\in K|sM\subset A\rbrace$$ Then it is easy to see that
$$M\subset A\Longleftrightarrow A\subset (A:_{K}M),$$
$$A\subset M\Longrightarrow (A:_{K}M)\subset A$$
... | 5 | [
0.010986328125,
0.0234375,
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0.04296875,
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0.087890625,
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0.00... | 8,558 | 8558 | |
l
This paper was awarded in the II International Competition (1993/94) "First Step to Nobel Prize in Physics" and published in the competition proceedings (Acta Phys. Pol. A 88 Supplement, S-49
(1995)). The paper is reproduced here due to kind agreement of the Editorial Board of "Acta Physica Polonica A".
... | 4 | [
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0.01513671875,
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0.025146484375,
-0.07373046875,
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0.0213623046875,
0.007110595703125,
-0.031494140625,
-0.059326171875,
-0.0363... | 8,559 | 8559 | |
Algebra Terms: 'Evaluate' and 'Simplify'
Date: 7/30/96 at 14:38:11
From: Ralph Ware
Subject: Algebra Terms
Dear Dr. Math:
I am a 43-year-old man entering college this fall for the first
time. One of my required courses is Elementary Algebra. It has been
25 years since I've seen an algebra problem and I didn't exac... | 4 | [
-0.031982421875,
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0.08349609375,
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0.103515625,
-0.08837890... | 8,560 | 8560 | |
Help in Calculating a Value - Trigonometry
September 4th 2008, 06:59 AM
Ruler of Hell
Help in Calculating a Value - Trigonometry
Hi, I had this sum for an exam and I couldn't get it, so I just wanted to know how to solve it:
Given: sinA + sin^2A = 1
Calculate: cos^12A + 3cos^10A + 3cos^8A cos^6A 2cos^4... | 4 | [
-0.055908203125,
0.05908203125,
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0.0693359375,
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-0.006744384765625,
-0.0157470703125,
-0.010... | 8,561 | 8561 | |
Congruency
March 5th 2009, 07:27 PM #1
Newbie
Joined
Mar 2009
Posts
1
Congruency
I'm having trouble solving this problem.
Solve the congruence 2x is equivalent to 7 (mod 17)
Can someone work it out for me in step by step form with some explinations
Add the modulus to $7$ :
$\begin{arr... | 4 | [
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-0.007476806640625,
-0.0033721923828125,
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-0.0244140625,
-0.0065307... | 8,562 | 8562 | |
Deriving Operating Voltage For An IEC Reactor
I have had some complaints (justifiable in my opinion) on how I derived the operating voltage for a given fusion reactor to within a few percent. I dont't take into account Einstein since the
particle energies we are talking about for a proton are on the order of .6 Mev max... | 4 | [
-0.0262451171875,
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0.08349609375,
-0.025390625,
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0.051513671875,
0.0115966796875,
-0.06103515625,
-0.00031280517578125,
0.0732421... | 8,563 | 8563 | |
Hacking Quaternions (from The Inner Product)
The Inner Product, March 2002
... | 4 | [
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0.00885009765625,
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0.0... | 8,564 | 8564 | |
Help for exam in 6 hours
November 28th 2007, 07:07 PM #1
Newbie
Joined
Aug 2007
Posts
5
Help for exam in 6 hours
Hi all,
I have an exam in 6 hours, which I know nothing about. You can see I'm doing well already. All I know is that the questions are always the same, but the numbers change. From the p... | 4 | [
-0.07568359375,
0.016357421875,
0.027099609375,
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0.0205078125,
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-0.... | 8,565 | 8565 | |
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Topic: Help.
Replies: 4 Last Post: Jan 17, 2006 2:08 PM
... | 5 | [
0.0634765625,
0.027099609375,
0.052978515625,
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0.0322265625,
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0.052734375,
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0.025390625,
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0.08349609375,
-0.0167236328125,
0.10205078125,
-0.0732421875,
-0.00367... | 8,566 | 8566 | |
Proving properties of matrix
March 30th 2010, 08:09 PM #1
Senior Member
Joined
Jul 2009
From
Singapore
Posts
338
Proving properties of matrix
Let A be the matrix $\left(\begin{array}{cc}a&b\\c&d\end{array}\right)$, where no one of a,b,c,d is zero. It is required to find a non-zero 2x2 matrix X such t... | 5 | [
-0.078125,
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0.010498046875,
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0.0732421875,
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0.00994873046875,
0.033203125,
0.09130859375,
-0.006378173828125,
0.002609252929687... | 8,567 | 8567 | |
Green's Theorem Integration Question
April 3rd 2013, 03:14 AM #1
Green's Theorem Integration Question
Here's the question:
Evaluate
$\int_{C} e^x cos y dx - e^xsinydy$
where $A = (ln 2, 0)$to $D =(0,1)$ and then from $D$ to $B = (-ln2, 0)$. Hint: Apply Green's theorem to the integral around the clos... | 5 | [
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0.0810546875,
0.0302734375,
-0.1015625,
-0.07958984375,... | 8,568 | 8568 | |
The royal status of 11-dimensional supergravity
A few days ago, I discussed the maximally supersymmetric gauge theory, the Darth Vader theory, which is exceptional.
I mentioned that the \(\NNN=4\) gauge theory in \(d=4\) dimensions is a beautiful, fully consistent (at the quantum level) dimensional reduction of the 10... | 4 | [
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-0.0361328125,
0.06396484375,
-0.001052856445... | 8,569 | 8569 | |
binomial coefficients series
February 13th 2010, 02:46 PM #1
Junior Member
Joined
Feb 2010
From
Columbus, Ohio
Posts
37
Thanks
1
binomial coefficients series
Knowing that:
$(1+x)^k = \sum_{n=0}^{\infty}\binom{k}{n}x^n = 1 + kx + \frac{k(k-1)}{2!}x^2 + \frac{k(k-1)(k-2)}{3!}x^3 + ...$
Giv... | 5 | [
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0.0242919921875,
0.058349609375,
-0.0311279296... | 8,570 | 8570 | |
kernel functor
nLab
kernel functor
In noncommutative ring theory, particularly in the subject of noncommutative localization of rings, a kernel functor is any left exact additive subfunctor of the identity functor on the category ${}
_R Mod$ of left modules over a ring $R$. There is a bijective correspondence between ... | 4 | [
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0.03125,
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0.06201171875,
0.046875,
0.0913085... | 8,571 | 8571 | |
Vacuous Cases, Empty Sets, and Empty Functions
Date: 04/10/2004 at 08:38:12
From: Dua
Subject: vacuous case, empty set, empty function
I am having difficulty understanding 'vacuous' situations as in, if A
is an empty set and B is a non-empty set then
(i) there is one function f: A \to B namely the empty function but... | 4 | [
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0.0771484375,
0.008056640625,
-0.099609... | 8,572 | 8572 | |
What is known about first cohomology of the units in a number field?
up vote 8 down vote favorite
4
Let $K/Q$ be a finite Galois extension with Galois group $G$. Let $U\subset K^\times$ be the group of units. I am interested in any available information about $H^1(G,U)$.
Motivation: in the theory of fusion categories... | 4 | [
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0.020019... | 8,573 | 8573 | |
Trig equations
January 17th 2010, 02:44 PM #1
Junior Member
Joined
Jan 2010
Posts
25
Trig equations
I accidently posted this in the Pre-Calc section, if possible can someone delete that?
How do I solve these
Cos^2x + 2sinxcosx - sin^2 x = 0 [0, 360)
sin(x +1) = cos x [0, 360)
Cos 4X -... | 5 | [
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0.018798828125,
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0.018... | 8,574 | 8574 | |
Two bacterial colonies
Actually, all I did was replace the 1000 with 3000 and the 2 with 3...
Hmm. Turns out you can't do that. You know you've got the equation $P_{2}(t)=3000(b^{t}).$ You can just plug in the 3000 for the 2000, because, as you can see, if you put in a 0 for the t, you just
get $P_{2}(0)=3000$, which ... | 4 | [
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0.03271484375,
0.0908203125,
-0.07861328125,
-0.01708984375,
... | 8,575 | 8575 | |
Need help understanding proof of theorem
March 8th 2010, 07:14 AM
novice
Need help understanding proof of theorem
(The Principle of Mathematical Induction) For each positive integer $n$, let $P(n)$ be a statement. If
(1) $P(1)$ is true and
(2) the implication
If $P(k)$, then $P(k+1)$
is true f... | 5 | [
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0.08... | 8,576 | 8576 | |
Limit of (a^x -1)/x when x approaches 0
March 21st 2010, 02:35 PM #1
Newbie
Joined
Mar 2010
Posts
15
Limit of (a^x -1)/x when x approaches 0
The answer is ln a.
This was a problem we got last semester (book of exercises). We didn't have to solve this but I'm still wondering how to solve it.
The ... | 5 | [
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-0.08056640625,
-0.0815... | 8,577 | 8577 | |
Warp Velocities
Warp Velocities FAQ
Last modified: Friday, 27 August 2004 03:07 AM -0700
Maintained by: Joshua Bell, inexorabletash@hotmail.com
Archive site (WWW): http://www.calormen.net/Star_Trek/
FTP site (text versions): ftp://ftp.cc.umanitoba.ca/startrek/minifaqs/
Copyright © 1994-2003, Joshua Bell. Not in the p... | 4 | [
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0.09619140625,
0.002... | 8,578 | 8578 | |
square root algorithm???
12-29-2004
Emotions
LuckY nailed this one. It was less code than I thought there would be. What would I need to learn to make it graphical? Like have a square calculator pop up when I run the .exe file with buttons
for each number a a screen that displays what you are entering. Basica... | 5 | [
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0.036865234375,
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0.0498046875,
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0.00346374511718... | 8,579 | 8579 | |
Performing four separate line integrals
May 11th 2008, 03:42 AM #1
Newbie
Joined
May 2008
Posts
4
S
is the surface of an open cube with faces defined by the planes
x
= 0, x = 2, y = 0, z = 0, z = 2. The open face is given by y = 2.
A vector field is given by F = yz i + xyz j + xy k.... | 5 | [
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0.0378... | 8,580 | 8580 | |
Derivation in paper - calculus - How?
April 30th 2008, 03:49 AM #1
Member
Joined
Nov 2006
Posts
136
Derivation in paper - calculus - How?
Hi all
the paper is Pybus(2000) An integrated framework for the inference of viral population history from reconstructed genealogies
wanted some help with th... | 4 | [
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-0... | 8,581 | 8581 | |
Cohomology rings of GL_n(C), SL_n(C)
up vote 3 down vote favorite
2
Can anyone provide me with the reference for the following fact (idea of the proof will be appreciated too):
Cohomology ring with $\mathbb Q$-coefficients of a group $G$ (I don't know precisely what the assumptions are: reductive complex algebraic gr... | 4 | [
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0.02734375,
0.0054931... | 8,582 | 8582 | |
Center of mass from the abstract point of view, or could the ancient Greeks invent modern analysis?
up vote 16 down vote favorite
5
This is a very open-ended question, which may or may not have a perfect answer, and for which I have a few ideas but nothing like a clear picture. However, I guess it won't hurt to ask to... | 4 | [
-0.06884765625,
0.02001953125,
-0.029052734375,
-0.021728515625,
-0.042724609375,
-0.07275390625,
0.0135498046875,
0.045654296875,
0.0184326171875,
0.05712890625,
0.007781982421875,
0.032470703125,
-0.033935546875,
0.02978515625,
-0.055908203125,
-0.07421875,
-0.043701171875,
0.035... | 8,583 | 8583 | |
Are the numbers of elements of two distinct prime orders not equal in finite groups?
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MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Are the numbers of elements of two distinct prime orders not equal in finite groups?
gr... | 5 | [
-0.0576171875,
0.01171875,
0.01129150390625,
-0.045654296875,
0.01129150390625,
-0.003570556640625,
0.01904296875,
-0.00860595703125,
-0.003997802734375,
-0.0255126953125,
0.0172119140625,
0.06103515625,
0.03955078125,
0.03759765625,
0.0233154296875,
0.01092529296875,
-0.0556640625,
... | 8,584 | 8584 | |
Upper and lower bounds
From Polymath1Wiki
Upper and lower bounds for c[n] for small values of n.
c[n] is the size of the largest subset of [3]^n that does not contain a combinatorial line (OEIS A156762. A spreadsheet for all the latest bounds on... | 5 | [
-0.04931640625,
-0.0086669921875,
-0.003570556640625,
-0.0478515625,
-0.040283203125,
-0.0257568359375,
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0.006103515625,
-0.01190185546875,
-0.0267333984375,
-0.1240234375,
-0.009033203125,
0.00154876708984375,
-0.08740234375,
-0.00933837890625,
0.033935546875,
-0.0... | 8,585 | 8585 | |
Summation of Floor Function Series
Date: 01/12/2009 at 09:11:36
From: Ivan
Subject: Formula for the sum of [ ]
Hello!
Is there any formula for the sum [p/q] + [2p/q] + [3p/q] + ... +
[np/q] (p, q, n are natural numbers)?
For example, [3/7] + [2*3/7] + [3*3/7] + [4*3/7] + [5*3/7]
= 0 + 0 + 1 ... | 5 | [
-0.1025390625,
0.0264892578125,
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0.01263427734375,
-0.07177734375,
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0.052734375,
0.08251953125,
-0.018310546875,
-0.10888671875,
-0.068359375,
-0.050048828125,
0.10693359375,
-0.032958984375,
-0.042236328125,
-0.03369140625,
0.0327... | 8,586 | 8586 | |
Equi Potential Equations or Euler Type Equations
April 1st 2010, 10:45 AM #1
Newbie
Joined
Apr 2010
Posts
1
Equi Potential Equations or Euler Type Equations
Hello All
I want to know about "Equi-Potential Equations" which are also known as "Euler Type Equations". I have less exposure to these equatio... | 4 | [
-0.09814453125,
-0.038330078125,
0.0291748046875,
0.08544921875,
0.052490234375,
0.0169677734375,
0.050537109375,
0.06494140625,
0.01507568359375,
0.0118408203125,
0.055419921875,
-0.01373291015625,
0.01153564453125,
0.080078125,
0.04638671875,
-0.0390625,
-0.1025390625,
0.00170898... | 8,587 | 8587 | |
Graphing Polynomials
TopGraphing is a better way to understand mathematical expressions, functions, relations etc as they are pictorial representation of any quant
ity. However, it is possible to graph Polynomials with one or multi variables by hand. A polynomial can be thought of an expression representing a relation... | 4 | [
0.01708984375,
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0.0220947265625,
-0.027587890625,
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-0.036865234375,
0.046630859375,
0.00106048583984375,
0.0242919921875,
-0.0130615234375,
-0.0166015625,
0.05810546875,
0.1142578125,
0.068359375,
0.05517578125,
-0.0654296875,
0.000050... | 8,588 | 8588 | |
Inverse trignometry; sec and tan
April 6th 2009, 12:25 PM #1
Junior Member
Joined
Sep 2008
From
Canada
Posts
42
Inverse trignometry; sec and tan
I'm so stuck on this. I have no clue where to start.
sec (tan^-1 4)
(the tan is an inverse with the -1, 4 is the number)
Does this mean that ... | 4 | [
0.006591796875,
0.0771484375,
0.0291748046875,
-0.005218505859375,
-0.03857421875,
-0.043701171875,
0.0208740234375,
0.0179443359375,
-0.01153564453125,
0.01458740234375,
0.07666015625,
-0.0458984375,
-0.01470947265625,
0.07177734375,
-0.02783203125,
-0.0198974609375,
0.02001953125,
... | 8,589 | 8589 | |
Modular forms with prime Fourier coefficients zero
up vote 8 down vote favorite
Can you give a non-trivial example of an integer weight cusp form which does not lie in the old subspace and it has $a_p=0$ for all primes $p$?
If such a form cannot exist then why?
modular-forms nt.number-theory
1 Naïve heuristics s... | 5 | [
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0.03369140625,
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0.021728515625,
-0.00136566162109375,
-0.0810546875,
-0.0415039... | 8,590 | 8590 | |
Basic question about branch points on Riemann surfaces
up vote 3 down vote favorite
4
If $X$ and $Y$ are Riemann surfaces (not necessarily compact), and $f:X\to Y$ is a holomorphic function, then it is obvious that the ramification points of $f$ in $X$ form a discrete subset of $X$.
Is the same true of the branch poin... | 5 | [
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0.019775390625,
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0.0272216796875,
-0.0003681182861328125,
0.058837890625,
0.0308837890625,
-0.054931640625,
-0.07666015625... | 8,591 | 8591 | |
Homework Help
Posted by SherylA on Thursday, October 5, 2006 at 7:01pm.
*Sigh* Can someone explain to me how I would work thru this problem?
An honest coin tossed n=3600 times. Let the random variable Y denote the number of tails tossed.
(a) find the mean and the standard deviation of the distribution of the random ... | 4 | [
0.017578125,
0.031005859375,
0.08837890625,
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0.017822265625,
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0.08251953125,
0.0028533935546875,
0.003082275390625,
0.017333984375,
0.00958251953125,
0.024169921875,
-0.060302734375,
-0.00555419921875,
0.0225830078125,
-0.0162353515... | 8,592 | 8592 | |
Finding the values of p and q
May 31st 2010, 09:20 AM
Mukilab
Finding the values of p and q
$x^2-8x+23-(x-p)^2+q$ for all values of x
find the value of p and q
I did
$(x^2-8x+16)+7=...\rightarrow (x+4)^2+7=(x+p)^2+q$
I'm stuck.. what should I do now, square route the whole thing?
edit:
... | 4 | [
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0.08740234375,
0.034423828125,
-0.0625,
0.07373046875,
-0.0068359375,
0.0322265625,
0.06884765625,
-0.0166015625,
0.00537109375,
-0.06689453125,
0.00616455078125,
0.0283203... | 8,593 | 8593 | |
Me
Roof Area Calculations
Methods for calculating the area of a roof depending on what measurements you already know
• ROOF AREA CALCULATIONS - CONTENTS: how to calculate or estimate roof area from whatever numbers are at hand: roof rise, slope, angle, width or length or roof angle can give us the roof area with
... | 4 | [
-0.000553131103515625,
0.05322265625,
0.0322265625,
-0.040283203125,
-0.0390625,
-0.087890625,
-0.0634765625,
0.09130859375,
-0.051513671875,
0.0380859375,
-0.042724609375,
0.00384521484375,
0.0703125,
0.020263671875,
-0.0076904296875,
0.027587890625,
-0.0263671875,
0.08740234375,
... | 8,594 | 8594 | |
Integer Corollary Proof
February 16th 2011, 03:16 PM #1
Member
Joined
Nov 2010
Posts
86
Integer Corollary Proof
I would appreciate some help with this proof!
Let n be an element of the integers. There exists no integer x such that n < x < n+1.
Thanks!
Here is a proof that there is no integ... | 4 | [
0.017822265625,
0.052490234375,
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0.0068359375,
0.0478515625,
0.0869140625,
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-0.0322265625,
0.0458984375,
-0.018310546875,
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0.07861328125,
0.12890625,
-0.002593994140625,
-0.038330078125,
-0.0419921875,
0.03515625,
-0.00848388671875,
0.02... | 8,595 | 8595 | |
dividing remainder w/exponents
November 6th 2008, 12:57 PM #1
dividing remainder w/exponents
For n is greater than or equal to 1, use congruence theory to find remainder of:
$7 | 5^(2n) + (3)(2^(5n-2))$
so here's what I did - I'm new to mod(s) so I wanted to make sure it goes right:
so:
$= (5^2... | 5 | [
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0.0693359375,
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0.059326171875,
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0.08935546875,
-0.03515625,
0.01544189453125,
-0.017578125,
0.012329101... | 8,596 | 8596 | |
ra
Statistics
Part 1: Average and Standard Deviation
by Mark Lawrence
People come in lots of different heights. Let's think about the height of American men.
The average American man is 5'10". This means half of all American men are taller than 5'10", and half are shorter than 5'10". Th... | 4 | [
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0.08349609375,
-0.07421875,
0.0673828125,
0.005615234375,
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0.054443359375,
0.0030364990234375,
-0.01324462890625,
-0.01031494140625,
-0.0186767578125,
0.07... | 8,597 | 8597 | |
Volume of parallelopiped
October 12th 2010, 10:47 AM
SyNtHeSiS
Volume of parallelopiped
What is the volume of a parallelopiped with adjacent vertices at O(0, 0, 0), A(1, 1, -2), B(3, 1, -1) and C(2, -1, 1)?
I got the vectors:
OA = (1,1,-2)
OB = (3,1,-1)
OC = (2,-1,1)
but I am not sure wh... | 4 | [
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0.0284423828125,
-0.154296875,
-0.0089111328125,
-0.05615234375,
-0.0133666992... | 8,598 | 8598 | |
Even and Odd Extensions
Next: About this document ... Up: Fseries_1 Previous: Even and Odd Functions
In some applications, a function
There are two natural ways of extending even function
The values of Fourier cosine series of the original function
The other canonical way of extending odd function
T... | 5 | [
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0.09375,
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-0.0422363281... | 8,599 | 8599 |