content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Combinations problem
May 21st 2009, 04:16 AM #1
Member
Joined
May 2008
Posts
101
Combinations problem
This may involve mods.
4 digit security codes in a particular city have this property:
the 4th digit is always the last digit of the sum of the first 3 digits. E.g. 3452, where 3 + 4 + 5 = 12, a... | 5 | [
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0.048095703125,
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0... | 9,400 | 9400 | |
ngle between
General analytical solution: angle between surfaces of a pyramid/polyhedron
Otherwise called “compound saw angles”
A cabinet-maker wanted to find the angle to chamfer the edges of two or more adjoining pieces of wood to make them neatly fit together, forming a regular pyramid.
My High School maths teach... | 4 | [
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finding common roots
September 6th 2007, 06:10 AM #1
Newbie
Joined
Sep 2007
Posts
4
finding common roots
please help me with this question
for which real values of b do the equations
x^3 + bx^2 + 2bx -1 =0 and x^2 + (b-1)x + b = 0
have a common root
thank you
Let $x_0$ be the com... | 4 | [
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... | 9,402 | 9402 | |
Representing numbers in a non-integer base with few (but possibly negative) nonzero digits
up vote 11 down vote favorite
2
Background
In a recent question about Fibonacci numbers, it was claimed that
every integer can be written in the form $\sum_{i=1}^6 \epsilon_i F_{n_i}$ with $\epsilon_i \in \{0,-1,1\}$. The ... | 5 | [
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... | 9,403 | 9403 | |
Race word problem
September 30th 2008, 11:31 AM
yoleven
Race word problem
At a recent world cup 10000m speed skating race, the winner, A, finished in 13 minutes 20.4 seconds. The last place finisher, B, took 15 minutes 37.0 seconds. The track is 400 m long.
i. How many meters did B still have to run when A f... | 4 | [
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0.01123046875,
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0.0191650390625,
-0.042480... | 9,404 | 9404 | |
An explicit example of a finitely presented group containing a subgroup isomorphic to $(\mathbb Q,+)$.
up vote 14 down vote favorite
4
A theorem (I do unfortunately not remember to whom it is due) states that there exists a finitely presented group containing a subgroup isomorphic to the additive group of rational num... | 4 | [
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0.04589843... | 9,405 | 9405 | |
Tangent Lines
Tutorial on tangent lines as an introduction to the derivative.
Linear Approximations
Tutorial on the accuracy of a linear approximation.
□ A LiveMath Notebook which can be used to determine accuracy of using a linear approximation.
□ Computer programs that can be used to determine acc... | 4 | [
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-0.1069335... | 9,406 | 9406 | |
Buoyancy
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Buoyancy 8,070 views
Buoyant force is the force that a fluid exerts on a object that is immersed within it. It is called buoyant force because this force is a lifting force, often making the object buo... | 4 | [
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Understanding Specker's disproof of the axiom of choice in New Foundations
up vote 12 down vote favorite
2
Hi all! I am trying to understand Specker (1953)'s proof (found here) that the axiom of choice is false in New Foundations. I am stuck on the following point. At 3.5 Specker writes:
3.5. The cardinal numbers are... | 5 | [
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Orthogonal Complements
Definition of the Orthogonal Complement
Geometrically, we can understand that two lines can be perpendicular in R^2 and that a line and a plane can be perpendicular to each other in R^3. We now generalize th... | 5 | [
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Solution to the T-SQL Puzzle - Grouping consecutive rows with a common element
A couple of weeks ago I posted the T-SQL challenge
“Grouping consecutive rows with a common element”
(http://www.sqlmag.com/article/articleid/93462/sql_server_blog_93462.html).
I got many interesting solutions via e-mail. We were supposed t... | 5 | [
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Clarification of Problem
February 11th 2014, 07:30 PM #1
Junior Member
Joined
Oct 2012
From
Houston
Posts
51
Clarification of Problem
I have just completed a section on Second ODE and Second Order Linear Homogenous equations. Topics were the superposition principle, the wronskian, and linear dependen... | 4 | [
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indermideate value therem question
September 11th 2011, 10:22 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
intermidiate value therem question
prove that for c<0
there is only one solution to
$xe^{\frac{1}{x}}=c$
??
i tookk the left side as f(x)
for x=1 we have f(1)>0
the li... | 4 | [
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exponential modelling help
February 23rd 2010, 05:48 PM
needhelpplease1
exponential modelling help
What rate of interest compounded anually must an investment earn in order for $8000 to grow to $20 000 in 10 years?
I have the beginning equation as $20 000 = 8000(1 + x)^{10}$ But I don't know how to solve fo... | 4 | [
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sampling distributions of estimators
April 10th 2011, 10:49 PM
holly123
sampling distributions of estimators
suppose that a random variable X has a geometric distribution for which the parameter p is unknown (0<p<1). Show that the only unbiased estimator of p is the estimator delta(X) such that delta(0)
=1 a... | 5 | [
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On the relation between the upwind differencing schemes of Engquist-Osher, Godunov and Roe
Results 11 - 20 of 24
, 2003
"... An explicit time-stepping method is developed for adaptive solution of time-dependent partial differential equations with first order derivatives. The space is partitioned into blocks and the
... | 4 | [
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Problem solving question help...
April 7th 2013, 09:12 PM
curt26
Problem solving question help...
A students scores on the first three tests in a math course are 65,75 and 87. What range of scores on a fourth test will give the student an average that is less than 80 but no less than 70 for
the four tests?
... | 4 | [
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More Trig/Pre-Cal Identity Proofs
February 3rd 2009, 02:46 PM
Purpledog100
More Trig/Pre-Cal Identity Proofs
Sorry to ask again, but I need help with these problems:
(secx+1)/tanx = sinx/(1-cosx)
I got (1+cosx)/sinx which is the opposite of what I need.
tan^4x + tan^2x = sec^4 - sec^2x
tan^2x ... | 4 | [
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Is the distance function from a point to the Mandelbrot set computable?
up vote 4 down vote favorite
1
There is at least one result saying that the Mandelbrot set is undecidable, and there might be more, but I think it (or they all) use real computation rather than Turing machines. This makes some
sense, as $\mathbb{C... | 4 | [
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Percentage Error
Date: 10/24/2002 at 20:47:35
From: Matthew Dean
Subject: Percentage error
Dr. Math,
Please help me find the percentage error for the following numbers.
5.7 estimated findings
5.8 actual findings
Date: 10/25/2002 at 16:17:00
From: Doctor Achilles
Subject: Re: Percentage error
Hi Matthew,
T... | 4 | [
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Polynomials Division
January 8th 2007, 08:27 AM #1
Newbie
Joined
Jan 2007
Posts
2
Polynomials Division
Hello,
I'm taking Algebra II (Saxon), and am completely stuck when it comes to dividing polynomials. I don't know how many times I've read the chapter in the textbook over and over again, trying to... | 4 | [
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0.0... | 9,420 | 9420 | |
Trig Problem
March 4th 2008, 02:31 AM #1
Newbie
Joined
Mar 2008
Posts
16
Trig Problem
Hi there.
Ive had a good look on the forum and cant seem to find anything to help me in this situation, just cant seem to figure this one out, here goes anyway
$\tan 2x = \frac{1}{3}$ where $\tan x = -3 \pm\sq... | 4 | [
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... | 9,421 | 9421 | |
Simple Triangle Question
May 27th 2008, 01:07 PM #1
Newbie
Joined
Apr 2007
Posts
4
Simple Triangle Question
The triangle PQR isn't a square triangle.
PQ = 9.9cm
QR = 22.3cm
RP = 18.1cm
(Going around the triangle anti clockwise)
P
Q R
Calculate the area of... | 4 | [
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Show a function f is constant, given...
February 27th 2009, 06:43 AM #1
Newbie
Joined
Oct 2007
Posts
8
Show a function f is constant, given...
Q: f from the the reals to the reals satisfies |f(x)-f(y)|<=|x-y|^2 (*), for all x,y in the reals. Show f is constant.
A: My answer is this:
Suppose, wi... | 5 | [
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negative exponents
March 31st 2008, 04:23 PM #1
negative exponents
I am lost on this problem.
-2^-3
The answer goes like this:
-1/2^3
I think I understand up to here. But where does the double negative come in on this next step?
--1/2*2*2
--1/4*2
--1/8
-*8/8-1/8
-8/8-1/8
-8... | 4 | [
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Basic concept I need explained for my calculus class
October 2nd 2012, 11:54 PM #1
Junior Member
Joined
May 2010
Posts
35
Basic concept I need explained for my calculus class
This is probably a basic concept that I just never really grasped...now I'm in Calc III and it's biting me in the butt.
I nee... | 4 | [
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Let's see if any of you have the same
Find two consecutive even integers whose sum squared is 100.
Find two consecutive even integers whose sum squared is 100. Now my two numbers will be x and x+2 and their sum -squared- will be 100. $(x+x+2)^2=100$ $(x+x+2)(x+x+2)=100$ $x^2+x^2+2x+x^2+x^
2+2x+2x+2x+4=100$ $4x^2+4x+4-... | 4 | [
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... | 9,426 | 9426 | |
Scholium
I earnestly ask that all this be appraised honestly, and that defects in matters so very difficult be not so much reprehended as investigated and kindly supplemented by new endeavors of my readers.
Isaac Newton, 1... | 4 | [
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Active Choke for Valve Amplifiers
An 'Active Choke' for Valve Amplifiers
Sometimes, for the sake of economy and reduced weight the first filter choke is omitted from a valve amplifier power supply and replaced by a resistor. The resulting RC filter provides enough
smoothing for push-pull amplifiers which naturally hav... | 4 | [
-0.059326171875,
0.09912109375,
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-0.039306640625,
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0.01220703125,
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0.059326171875,
-0.004394... | 9,428 | 9428 | |
Homework Help
Posted by Jenny on Monday, April 9, 2012 at 2:46am.
Which value of k will make the plane r=(k,3k,12) +s(2,2,3)+t(-1,1,3), s,teR passing through the origin?
a) 2
b) 1
c)0
d) -1
• Calculus - Reiny, Monday, April 9, 2012 at 8:58am
to pass through the origin, r = (0,0,0)
so
k + 2s - t = ... | 4 | [
-0.047607421875,
0.040283203125,
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-0.1044921875,
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-0.09423828125,
-0.0103759765625,
-0.0366210937... | 9,429 | 9429 | |
Lebesgue integration questions
February 21st 2010, 01:40 PM #1
Newbie
Joined
Feb 2010
Posts
1
Lebesgue integration questions
I have a couple of integrals that I need to evaluate - they are in the context of Lebesgue integrals. They seem similar to questions regarding contour integration that I've done be... | 5 | [
0.009765625,
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0.05419921875,
-0.09033203125,
-0.05126953125,
0.0439453125,
-0.051757812... | 9,430 | 9430 | |
armonic
Simple Harmonic Motion – background material
Simple harmonic motion arises in many linear systems. This page describes it and gives examples. It supports the multimedia tutorial Simple Harmonic Motion. Here we treat simple harmonic motion
kinematically. For an analysis of the forces involved see Oscillations.... | 4 | [
-0.033935546875,
0.0091552734375,
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-0.031494140625,
0.037353515625,
0... | 9,431 | 9431 | |
Calculate power of negative decimal number
May 11th 2011, 10:45 AM #1
Newbie
Joined
May 2011
Posts
5
Hello
I am new in this forum
I try to calculate
{-10}^{ 2.6}
using the calculator I get an error
but i write that way
{-10}^{ 2.6} = {-10}^{ 2+ 6/10} = {-10}^{ 2+ 3/5} = {-10}^{2 }... | 4 | [
-0.0023345947265625,
0.0234375,
-0.0184326171875,
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0.07958984375,
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-0.00799560546875,
-0.00274658203125,
0.0373... | 9,432 | 9432 | |
Parallel Lines
Associated Topics || Dr. Math Home || Search Dr. Math
Parallel Lines
Date: 9/3/96 at 13:10:58
... | 4 | [
-0.046630859375,
0.0267333984375,
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0.02734375,
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-0.1171875,
0.0429687... | 9,433 | 9433 | |
matrix multiplication
February 15th 2009, 05:55 AM
karimwahab
matrix multiplication
{ 3 2 } x { a b } = { 1 0 }
{ 1 -1 } { c d } { 0 1 }
So, what is:
{ a b } = { 1 0 } x Inv. { 3 2 }
{ c d } { 0 1 } { 1 -1 }
can any help me figure it out this matrix
its do to with "inverse"
thanks... | 5 | [
-0.0888671875,
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0.08203125,
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0.0189208984375,
... | 9,434 | 9434 | |
Fundamental Theorem of Algebra, Theorems of Brouwer and Borsuk
up vote 4 down vote favorite
1
Several months ago I was browsing through a question posted here ("Applications of Brouwer’s fixed point theorem"); amongst the comments attached it was mentioned that one could derive both Borsuk's
Antipodal Theorem as well ... | 4 | [
-0.1298828125,
0.0123291015625,
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-0.046875,
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0.01092529296875,
-0.03564453125,
-0.004974365... | 9,435 | 9435 | |
Binary Calculator
(Want to calculate with decimal operands? You must convert them first.)
About the Binary Calculator
This is an arbitrary-precision binary calculator. It can add, subtract, multiply, or divide two binary numbers. It can operate on very large integers and very small fractional values — and
combinatio... | 5 | [
0.0322265625,
0.053955078125,
-0.05419921875,
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-0.000001952052116394043,
-0.033203125,
0.019775390625,
-0.1103515625,
0.032... | 9,436 | 9436 | |
Number Theory
July 15th 2008, 05:14 PM #1
Junior Member
Joined
Apr 2008
From
Gainesville
Posts
68
Number Theory
Part a) Let a be an odd integer. Prove that a^2 is congruent to 1 mod 8. Deduce that a^2 is congruent to 1mod4.
Part b) Prove that if n is a positive integer such that n is congruent t... | 5 | [
-0.045654296875,
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0.021240234375,
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0.037841796875,
-0.1181640625,
-0.0595703125,
0.0211181640625,
0.00120544433593... | 9,437 | 9437 | |
Math Tools Discussion: Traffic Jam Applet tool, Traffic Jam Activity
Discussion: Traffic Jam Applet tool
Topic: Traffic Jam Activity
Related Item: http://mathforum.org/mathtools/tool/10/
<< see all messages in this topic
< previous message | next message >
Subject: RE: Traffic Jam: number of moves
Author: ... | 4 | [
0.050048828125,
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0.005... | 9,438 | 9438 | |
Characters and Expansion
Characters and Expansion
In which we look at the representation theory of Abelian groups and at the discrete Fourier transform, we completely understand the eigenvalues and eigenvectors of the Cayley graph of an Abelian
group, and we apply this powerful theory to prove that the cycle is a con... | 4 | [
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... | 9,439 | 9439 | |
How linear transformations map parallelograms and parallelepipeds
The notion of linearity plays an important role in calculus because any differentiable function is locally linear, i.e., looks linear if you zoom in enough. In fact, the definition of
differentiability is based on the ability to approximate a function $\... | 4 | [
0.0133056640625,
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0.12060546875,
... | 9,440 | 9440 | |
What is known about the polynomial factorization of power series?
up vote 11 down vote favorite
2
Some power series factorize; $1+\sum_{n=1}^\infty x^n=\prod_{n=1}^\infty (1+x^{2^n})$ and $1+\sum_{n=1}^\infty x^{2n}/(2n+1)!=\prod_{x=1}^\infty (1+x^2/n^2\pi^2)$ for example; while others do
not----in particular, $1+\sum... | 4 | [
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0.01513671875,
0.048583984375,
-0.... | 9,441 | 9441 | |
DeMoivre’s Theorem
June 15th 2009, 06:01 PM #1
Newbie
Joined
May 2009
From
Nevada
Posts
3
DeMoivre’s Theorem
Find
I got this in the end but it was wrong
Please show step by step.
Any help would be greatly appreciated
$2(\sqrt 3 + i)^7 = 2^8 \left( \frac {\sqrt 3}2 + \frac 12i \right... | 5 | [
-0.0693359375,
0.0186767578125,
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0.0625,
0.023681640625,
-0.022705078125,
-0.09375,
0.0224609375,
-0.0213623... | 9,442 | 9442 | |
Linear Programming and Semidefinite Programming
December 4, 2011
Homework 6 bug fixes
Check out the comments in this post for fixes. In short, they involve question 1 (the $A$ should be $D$), and question 5b (the expression should be $3/2 OPT + 1/2 c(s,t)$).
December 3, 2011
Course Evaluations
The course evaluatio... | 4 | [
-0.1240234375,
0.046142578125,
0.037353515625,
-0.080078125,
0.04248046875,
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-0.01171875,
-0.00994873046875,
-0.0419921875,
0.0174560546875,
-0.0023040771484375,... | 9,443 | 9443 | |
prove that a set V is a vector space
December 19th 2011, 10:14 PM
WeeG
prove that a set V is a vector space
Hello,
I am trying to prove that a set V is a vector space, I managed to prove most of the process, but stuck with a couple of things...
The set V is the set of positive real numbers, and the fie... | 5 | [
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-0.02099609375,
-0.01348876953125,
0.... | 9,444 | 9444 | |
Inequality
January 1st 2008, 07:49 AM #1
Senior Member
Joined
Nov 2007
Posts
329
Inequality
1. Prove that if $a;b\in\mathbb{R}^+$ and $a+b=1$, then
$\left(a+\frac 1a\right)^2+\left(b+\frac 1b\right)^2\ge \frac {25}2$.
2. Similarly to the previous problem:
Prove that if $a;b;c\in\m... | 5 | [
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0.047119140625,
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0.044677734375,
0.059326171875,
-0.03173828125,
0.060791015625,
0.0510253906... | 9,445 | 9445 | |
Math Forum Discussions - Re: LOGICAL NEGATION working in PROLOG! <<Using Peano Arithmetic>>
Date: Dec 5, 2012 2:39 AM
Author: Graham Cooper
Subject: Re: LOGICAL NEGATION working in PROLOG! <<Using Peano Arithmetic>>
> I worked out an inference rule that works with Modus Ponens that
> performs pseudo-resolution
>
> or(... | 5 | [
-0.0250244140625,
0.056396484375,
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0.072265625,
-0.0634765625,
0.083984375,
-0... | 9,446 | 9446 | |
Partial fraction with repeated irreducible 2nd-degree polynomial in the denominator
September 14th 2008, 08:38 PM
symstar
Partial fraction with repeated irreducible 2nd-degree polynomial in the denominator
Woe is me and the partial fractions...
$\int\frac{x-3}{(x^2+2x+4)^2}dx$
I tried working with just... | 5 | [
0.0238037109375,
0.009033203125,
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0.047119140625,
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0.0439... | 9,447 | 9447 | |
Proving These are Exponential
How would I go about proving that given $f'(x)=f(x)-g(x)$ $g'(x)=g(x)-f(x)$ Then $f(x)$ and $g(x)$ must be exponential functions. Thank you
Differentiate the first equation to get $f''(x) = f'(x) - g'(x) = 2f(x)$ And from there you should (probably) know how to solve it (since you're bein... | 5 | [
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0.059326171875,
-0.05... | 9,448 | 9448 | |
Probability and Statistics for Engineers and Scientists
Overview
This classic text provides a rigorous introduction to basic probability theory and statistical inference, with a unique balance of theory and methodology. Interesting, relevant applications use real
data from actual studies, showing how the concepts and ... | 4 | [
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-0.078125,
-0.06103515625,
... | 9,449 | 9449 | |
A Neighborhood of Infinity
Rather than explain it I'll point you
here
. It looks a bit like the
Monty Hall
problem at first. But the Monty Hall problem is simple once you use the right method - and almost everyone agrees when it's pointed out to them. But philosophers can't actually agree on the solution
to the Mon... | 4 | [
-0.00250244140625,
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-0.0205078125,
-0.060546875,
-0.06591796875... | 9,450 | 9450 | |
is this correct? (convergence)
March 14th 2009, 06:58 PM #1
Junior Member
Joined
Jan 2009
Posts
25
is this correct? (convergence)
determine the convergence or divergence by any method
infinite
sigma 1/((n^2)+1)^1/2
n=1
then i used trigonometric substitution, because n^2 + 1 = a^2 + x^2,... | 5 | [
-0.00994873046875,
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0.007080078125,
... | 9,451 | 9451 | |
Prove that 2n^2 + n is odd if and only if cos(npi/2) is even
October 2nd 2013, 03:56 PM #1
Junior Member
Joined
Sep 2013
From
United States
Posts
67
Thanks
3
Prove that 2n^2 + n is odd if and only if cos(npi/2) is even
Let n be an element of Z. Prove that $2n^2 + 2$ is odd if and only if $cos\lef... | 4 | [
-0.1181640625,
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0.0576171875,
-0.018310546875,
... | 9,452 | 9452 | |
Confused about rand. var. transforms
February 25th 2009, 10:18 AM #1
Newbie
Joined
Feb 2009
Posts
2
Confused about rand. var. transforms
I have a problem where the rand var X= -(1/theta) ln(U) is given where U is uniform rand.var on (0,1) I need to prove that X has an exponential distribution function wi... | 5 | [
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-0.0107421875,
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-0.05224609375,
-0.051025390625,
-... | 9,453 | 9453 | |
Math Help
March 13th 2008, 12:31 PM #1
Newbie
Joined
Feb 2008
Posts
19
proof
by definition, a~b means there exists a k in Z such that a-b=3k
now
if a~a' and b~b' show ab~a'b'
Note: S=Z=(0,+or-1,+or-2,.......) and
_ _ __
a*b = ab
starting with your assumptions
$a-a'=3n$ w... | 4 | [
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0.0184326171875,
0.0341796875,
0.00135040283203125,
-0.0203857421875,
0.050048828... | 9,454 | 9454 | |
LEONG -- MONTE CARLO SPREADSHEET SIMULATION USING RESAMPLING
Abstract
The ubiquitous spreadsheet can be used to model situations with random values, in what is commonly referred to as Monte Carlo simulation. For simple cases, adding random functions such as Excel^TM's
RAND) is enough. In general business models, compl... | 4 | [
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0.05126953125,
-0.029052734375,
0.0771484375,... | 9,455 | 9455 | |
When is the time evolution of a Hamiltonian system described by the geodesic flow on a Riemannian manifold?
up vote 15 down vote favorite
7
Here is my precise question. Let $M, \omega$ be a symplectic manifold and let $H: M \to \mathbb{R}$ be any smooth function. The symplectic form gives rise to an isomorphism betwee... | 4 | [
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... | 9,456 | 9456 | |
solution of differential equation for vector field
May 2nd 2013, 10:19 PM
mathlover10
solution of differential equation for vector field
show that the field lines y=y(x) of a vector function F(x,y) are solutions of the differential equation....so since the vector function is like the line whose slope is the deri... | 4 | [
-0.07470703125,
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0.0791015625,
-0.0927734375,
-0.... | 9,457 | 9457 | |
parametric equation
April 6th 2008, 09:05 PM #1
Junior Member
Joined
Jan 2008
Posts
31
parametric equation
Two objects move in the xy -plane. At time t, the position of object A is given by x = 5t - 5, y = -1t - k, and the position of object B is given by x = 3t, y = t2 - 2t - 1.
(a) Find the value ... | 4 | [
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0.07080078125,
-0.046875,
-0.065... | 9,458 | 9458 | |
Induction proof
June 23rd 2009, 09:06 PM #1
Induction proof
Good night.
Prove by induction that $4^{2n+1}+3^{n+2}$ is a multiple of $13$ for all values of $n\geq{0}$.
All help much appreciated.
For n=0
$4^{2n+1}+3^{n+2}=4+9=13$, which is a multiple of 13.
Base case: n = 0:
$4^{2(0)+1}... | 4 | [
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0.0003681182861328125,
-0.0500... | 9,459 | 9459 | |
PDE-Characteristic Curves
November 2nd 2010, 02:29 AM #1
Member
Joined
Dec 2009
Posts
171
PDE-Characteristic Curves
Let $f(x,y)$ be the soloution of $xu_x +yu_y = u^4$ that is defined in the whole plane. Prove that $f = 0$ .
Hint: Think of the characteristic curves of this PDE.
HOPE You'll be ab... | 5 | [
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0.025146484375,
0.01513671875,
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0.002655029296875,
-0.09033203125,... | 9,460 | 9460 | |
torsion abelian groups category
November 18th 2008, 08:25 PM
xianghu21
torsion abelian groups category
Let Tors be the category whose objects are torsion abelian groups; if $A$ and $B$ are torsion abelian groups, we define $Mor_{\text{Tors}}(A, B)$ to be the set of all (group) homomorphisms $\phi
: A \righta... | 4 | [
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... | 9,461 | 9461 | |
Questions Involving Rings
April 3rd 2009, 06:52 PM #1
Member
Joined
Nov 2008
Posts
152
Questions Involving Rings
1) Let R be a ring with unity 1. Show that (-1)a = -a for all a in R.
2) Show that the set of all real numbers of the form a+bsqrt(2), where a,b in Q, forms a field under ordinary additio... | 5 | [
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0.022216796875,
-0.029296875,
-0.01348876953125,
-0.0458984375,
-0.000644683... | 9,462 | 9462 | |
Math Forum Discussions
Re: Simulation for the standard deviation
Posted: Feb 23, 2013 7:58 AM
On 22/02/2013 21:06, Ray Koopman wrote:
> On Feb 22, 6:05 am, Cristiano <cristi...@NSgmail.com> wrote:
>> On 22/02/2013 6:15, Ray Koopman wrote:
>>> On Feb 20, 3:54 am, Cristiano <cristi...@NSgmail.com> wrote:
>>>
>>>> Short ... | 5 | [
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0.054931640625,
... | 9,463 | 9463 | |
[SOLVED] Find rate of increase of water level?
June 29th 2008, 07:44 AM #1
[SOLVED] Find rate of increase of water level?
Water runs into a conical tank at the rate of 9 ft^3/ min. The tank stands point down and has height of 10 ft and a base radius of 5 ft. How fast in the water level rising when water is 6 feet... | 5 | [
-0.013671875,
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0.02734375,
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-0.0869140625,
0.08837890... | 9,464 | 9464 | |
Math Help
October 12th 2011, 01:59 PM #1
Banned
Joined
Aug 2010
Posts
961
Thanks
98
Relation
Given the definition that a relation on AXA is a subset of AXA, what does "R is a relation on a set A" mean?
a) R is a subset of AXA every member of which satisfies R (aRb).
or
b) R is a subse... | 4 | [
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0.05810546875,
-0.03125,
-0.0864257... | 9,465 | 9465 | |
PDE problem
May 19th 2010, 01:40 PM #1
PDE problem
Let $\Omega \subset \mathbb{R}^n$ be a bounded set with smooth boundary. Assume that $u_1$ and $u_2$ are $C^2(\overline{\Omega})$ and that they satisfy:
$-\Delta u_1=f$ in $\Omega$
$u_1(x)=g_1(x)$ on $\partial \Omega$
and
$-\Delta u_2=f$ in $\O... | 4 | [
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0.000545501708... | 9,466 | 9466 | |
Simultaneous equations
January 7th 2010, 05:29 PM
scubasteve94
Simultaneous equations
Find the value of m for which the simultaneous equations
(m + 3)x + my = 12
(m + 1)x + (m - 3)y = 7
have no solution.
I am insure what to do here! Do I need to set them up in a matrix or...
Any help would b... | 4 | [
-0.04638671875,
-0.05126953125,
-0.08740234375,
0.006072998046875,
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0.08984375,
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0.140625,
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0.072265625,
0.03076171875,
0.0267333984375,
0.06201171875,
-0.060302734375,
0.026489257812... | 9,467 | 9467 | |
Integration by partial fractions.
Ive been able to complete a couple of problems. I was hoping someone could help me with this one. Thanks.
First, I would use polynomial division to simplify this fraction: 4x^2 - 4 | 3x^3 - 0x^2 - 3x + 4 = 3/4*x + 4/(4x^2 - 4) = 3/4*x + 1/(x^2 - 1) So now we have: INT (3/4*x + 1/(x^2 ... | 5 | [
0.00982666015625,
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-0.00799560546875,
0.0220947265625,
-0.083984375,
-0.058837890625,
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0.0245361328125,
0.060302734375,
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0.032470703125,
0.053955078125,
0.04199... | 9,468 | 9468 | |
Problems and Solutions
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,446
Re: Problems and Solutions
Member
Registered: 2007-02-23
Posts: 6,868
Re: Problems and Solutions
ganesh wrote:
Problem # k + 109
Prove that every number of the form a[sup]4[/sup]+4 is a ... | 5 | [
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-0.0279541015625,
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0.09375,
0.031494140625,
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0.01141357421875,
-0.03271484375,
0.01159667... | 9,469 | 9469 | |
Shuffle Hopf algebra: how to prove its properties in a slick way?
up vote 16 down vote favorite
13
Let $k$ be a commutative ring with $1$, and let $V$ be a $k$-module. Let $TV$ be the $k$-module $\bigoplus\limits_{n\in\mathbb N}V^{\otimes n}$, where all tensor products are over $k$.
We define a $k$-linear map $\mathr... | 4 | [
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0.106933... | 9,470 | 9470 | |
Surface area as function of height of box
September 29th 2008, 07:29 PM #1
Surface area as function of height of box
A box with a square base (sides of length x) and an open top must have a volume of 32,000 cubic centimeters. Express the surface area as a function of the height of the box
This is all I got... | 4 | [
0.09375,
0.06787109375,
0.00555419921875,
-0.01007080078125,
0.004638671875,
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0.06396484375,
-0.01177978515625,
0.0361328125... | 9,471 | 9471 | |
Can you see smoothness of the boundary of a convex body from its shadow?
up vote 9 down vote favorite
1
Let $d \geq 3$ and suppose that $K \subset \mathbb{R}^{d}$ is a convex body (compact, convex, non-empty interior). Is the following true?
The boundary $\partial K$ is a $C^1$-manifold if and only if for each pr... | 5 | [
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0.07666015625,... | 9,472 | 9472 | |
Decimal Division
Date: 09/02/97 at 16:08:53
From: Leah
Subject: Decimal division
How do I divide with numbers that have decimals in them?
Date: 09/08/97 at 13:52:23
From: Doctor Rob
Subject: Re: decimal division
First, learn how to divide a decimal by a whole number. You do this
by ignoring the decimal at first, ... | 4 | [
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-0.044189453125,
-0.0986328125,
-0.0874... | 9,473 | 9473 | |
Basic Trig problem
November 11th 2012, 06:19 PM #1
Basic Trig problem
Simplify and write the trigonometric expression in terms of sine and cosine:
I put this as my answer
(it looks like a formula that returns a number) I am figuring I have to reduce this?
Re: Basic Trig problem
The answer is actu... | 4 | [
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0.055419921875,
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-0.060546875,
0.044189453125,
-0.06054... | 9,474 | 9474 | |
Evaluating Integrals
November 13th 2008, 08:50 PM #1
Newbie
Joined
Oct 2008
Posts
11
Hey. So, I'm having trouble figuring out how to solve this integral. And I would really appreciate it if someone could help me.
$\int_0^{\frac{3\pi}{2}}|sinx|dx$
Okay, so I know I need to split the integral beca... | 5 | [
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-0.080078125,
0.020263671875,
0.0908203125,
-0.014587... | 9,475 | 9475 | |
Hard Dif. Equations
October 14th 2007, 01:01 PM #1
Member
Joined
May 2006
Posts
148
Thanks
1
Hard Dif. Equations
I have to solve the given Dif. EQs with the initial conditions that are given.
But, the hard part is I'm not allowed to use the same method twice. (That is, I can only use separation ... | 5 | [
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-0.003387451171875,
-0.0194091796875,
-0.06982421875,
-0.... | 9,476 | 9476 | |
7: Differential Equations
Differential equations play an important part in modern science, physics in particular. It is sometimes said that modern physical theory is represented by a large set of field-tested differential
equations. But until the availability of cheap computer power, processing and experimentin... | 5 | [
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-0... | 9,477 | 9477 | |
Can someone help me prove these two identities?
April 5th 2010, 01:14 PM
dlngoal
Can someone help me prove these two identities?
Can someone help me prove these two identities?
I have to prove these two identities and they're really giving me a hard time :/
I need to see all the steps taken.
1) si... | 4 | [
-0.0390625,
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0.0308837890625,
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-0.00640869140625,
-0.01422119140625... | 9,478 | 9478 | |
Optimization: maximize a triangle surface
October 31st 2010, 04:57 PM
Ulysses
Optimization: maximize a triangle surface
See if anyone can help me with this: Among all triangles of perimeter equal to P, find the one with the largest area. (Hint: use the formula $A=\sqrt[ ]{p(p-x)(p-y)(p-z)}$ where $P=2p$, $P$ is
... | 5 | [
0.0072021484375,
0.047607421875,
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-0.0625,
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0.006072998046875,
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0.041015625,
-0.07080078125,
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0.08642578125,
-0.0157470703125,
0.09619140625,
0.0810546875,
0.0308837890625,
0.0400390625,
-0.02294921875,
-... | 9,479 | 9479 | |
How Long Does It Take to Count to a Billion?
Date: 03/28/2003 at 02:04:22
From: Kandi
Subject: How long does it take to count to a billion?
In the answer in the Dr. Math archives:
Counting to One Billion
http://mathforum.org/library/drmath/view/58739.html
when you said to divide the number of seconds of days.... | 4 | [
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-0.060546875,
-0.1015625,
-0.0263671875,... | 9,480 | 9480 | |
Management Science and Engineering
The Applications of Utility Theory in Insurance Industry
Y AN Li-hua[1]
WANG Yong-mao
WANG De-hua
WEN Xiao-nan
Abstract: In this paper, The Applications of Utility Theory in insurance industry are discussed from two ways.First of all we consider the insurance pricing from both in... | 5 | [
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-0.00970458984375,
-0.01... | 9,481 | 9481 | |
terminal side
October 3rd 2012, 10:57 AM
RiderMind
Hello. I am having difficulty with this problem:
Find the point on the terminal side of θ = -3pi/4 that has an x coordinate of -1
I was hoping that someone here would be able to help me out? I am actually trying to figure out what I am doing so if you c... | 4 | [
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-0.06298828125,
-... | 9,482 | 9482 | |
Math Help
April 10th 2006, 08:52 PM #1
Junior Member
Joined
Feb 2006
From
Canada
Posts
45
1.Use Gauss Theorem to prove that an angle of 20 degree is not contructible.
2.Use Gauss Theorem to decide whether or not an angle of 6 degree is constructible.
Thanks very much guys.....
suedenat... | 4 | [
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0.04833984375,
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0.017578125,
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-... | 9,483 | 9483 | |
Algebra question help needed
June 14th 2013, 10:19 PM
Crystuls
Algebra question help needed
At this year's marathon, Fred took 3 hours to cover the 42km distance.
At next year's marathon, Fred wants to improve his net time by six minutes. He will try a different strategy of running for the first two hours at... | 4 | [
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0.001... | 9,484 | 9484 | |
Solve giving all solutions in the interval 0 ≤ x ≤ 180
March 18th 2012, 08:23 AM
johnreal
Solve giving all solutions in the interval 0 ≤ x ≤ 180
I have to solve sec x = 4 − 2 tan^2 x, giving all solutions in the interval 0 ≤ x ≤ 180 , i have no idea where to start..... so far i changed the tan into sec^2-1, but... | 4 | [
0.03173828125,
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0.0625,
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0.06201171875,
-0.0245361328125,
0.09619140625,
-0.045654296875,
-0.011... | 9,485 | 9485 | |
on findin nos of 0's at end of a factorial
Let $<br /> v_p \left( n \right)<br />$ be the maximum $<br /> s \in \mathbb{N}<br />$ such that $<br /> \left. {p^s } \right|\left( {1^1 \cdot 2^2 \cdot ... \cdot n^n } \right)<br />$ First note
that $<br /> v_5 \left( n \right) \leqslant v_2 \left( n \right)<br />$ so the n... | 5 | [
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0.07421875,
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... | 9,486 | 9486 | |
Homework Help
Posted by Katherine on Wednesday, November 10, 2010 at 5:02pm.
kyle had 36 books in hislocker. some were library books, some were textbooks, and the rest were telophone books. the number of library books and textbooks combined equal twice the number of
textbooks. the number of textbooks and telephone boo... | 4 | [
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-0.... | 9,487 | 9487 | |
Piecewise-defined functions
From CATs
1 Piecewise-defined functions
A piecewise-defined function is a function that has more than one “part” or “piece” to it. For example, this is a piecewise-defined function that uses the variable x:
$f(x) = \begin{cases}x^2, &\mbox{if }x < -4\\ 3x - 2, &\mbox{if } -4 \leq... | 4 | [
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Partial Differentiation stationary points
January 15th 2011, 09:53 AM
ramdrop
Partial Differentiation stationary points
hey im pretty stuck with this, I've got quite far though, I think..
f(x,y) = $1/3x^3 + 1/3y^3 - 4xy^2 +15y$
then df/dx = $x^2 - 4y^2$
df/dy = $y^2 - 8xy + 15$
Then to find th... | 5 | [
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0.02978515625... | 9,489 | 9489 | |
Strichartz estimates over cones
up vote 1 down vote favorite
1
I'm trying to understand Sogge's book Lectures on Non-Linear Wave Equations, the part where he proves global existence for semilinear equations. There is one part he uses the following inequality:
$\|u\|_{L^4 L^{12}(K)} \lesssim \|\nabla u(0)\|_{L^2} + \|... | 4 | [
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... | 9,490 | 9490 | |
Problem involving functions and inverses
December 23rd 2012, 02:48 PM #1
Member
Joined
Sep 2012
From
U.K.
Posts
88
Problem involving functions and inverses
f(x) = (ax+b)/(cx+d) , x is real, x=/= -d/c , b=/=0 , c=/=0
Prove that if
a + d =/= 0
and
(a-d)^2 +4bc = 0
then y=f(x) a... | 4 | [
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0... | 9,491 | 9491 | |
In a Bus there are 7 people.Each one carry 7 bags. Each bag contains 7 cat.Each cat carry 7 small cats. How many legs are there in the bus?
Answers:
10990
Posted by: Nithya
Contact Nithya
7*2(people) + 7*7*7*4(cats) + 7*7*7*7*4(small cats) = 10990
Posted by: bhagya
Contact bhagya
4x7x7=196---legs of small ... | 4 | [
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gradient function
October 8th 2006, 11:56 AM
24680
gradient function
can someone help with this question please
"the gradient function of y=ax^2 + bx + c is 4x+2. The function has a minimum value of 1. Find the values of a, b and c"
October 8th 2006, 12:14 PM
CaptainBlack
Quote:
The gradient fu... | 4 | [
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... | 9,493 | 9493 | |
Converging Means
Copyright © University of Cambridge. All rights reserved.
'Converging Means' printed from http://nrich.maths.org/
Take any two positive numbers and call the larger one $a_1$ and smaller $b_1$. Calculate the arithmetic mean of the two numbers and call this $a_2$, where: $$a_2 = (a_1+ b_1)/2.$$Calculat... | 4 | [
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0.05688476... | 9,494 | 9494 | |
Suck on maximum and minimum values
October 4th 2012, 04:41 PM #1
Newbie
Joined
Sep 2012
From
Mississippi
Posts
10
Suck on maximum and minimum values
Hello. I am stuck at a point on this question.
Identify the maximum and minimum values of the function y = 10 cos x in the interval [-2π, 2π].
... | 4 | [
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(nontrivial) isotrivial family of elliptic curves
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
I think it should be a standard procedure to construct such things, can anyone give a reference or give a hint? Can this b... | 4 | [
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Topic: Asymmetric Clipped Waveform - Find Average
Replies... | 5 | [
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0.0322265625,
0.058349609375,
-0.05859375,
0.00424194335937... | 9,497 | 9497 | |
Intersection of Normal Subgroups
Associated Topics || Dr. Math Home || Search Dr. Math
Intersection of Normal Subgroups
... | 5 | [
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self orthogonality with codes
February 17th 2010, 03:48 PM #1
Junior Member
Joined
Sep 2008
From
Edmonton
Posts
67
self orthogonality with codes
Hello,
I'm at a loss when it comes to the next step here
I've got the question:
Let C be the [6; 3] binary code with generator matrix
G =
... | 4 | [
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