content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Bounded Set
Date: 06/24/2003 at 13:57:27
From: Saint Monday
Subject: Proof about a bounded set
Let S be a set of real numbers. Prove that the following are
equivalent:
(a) S is bounded, i.e. there exists a number M > 0 such that abs(x)
<= M for every x in S.
(b) S has an upper bound and lower bound.
I need to ... | 4 | [
-0.0556640625,
0.039794921875,
0.034423828125,
0.0028533935546875,
0.0322265625,
0.031494140625,
0.005340576171875,
0.1328125,
-0.02978515625,
-0.01031494140625,
-0.005645751953125,
0.030517578125,
0.1259765625,
-0.05078125,
0.0238037109375,
0.00194549560546875,
0.1328125,
-0.04614... | 36,900 | 36900 | |
Formula for 1+(1+2)+(1+2+3)+(1+2+3+4)+...
OReilly Yes, I presume you have a finite sum. --- The key in the the fact that, $1+2+...+x=\frac{x(x+1)}{2}$ --- Therefore, that entire sum is, $\frac{1(2)}{2}+\frac{2(3)}{2}+...+\frac{n(n+1)}{2}$
Thus, $\sum_{k=1}^{n}\frac{k(k+1)}{2}=\frac{1}{2}\sum_{k= 1}^n k^2+k$ Thus, subdi... | 5 | [
-0.0294189453125,
0.022705078125,
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0.041015625,
0.00885009765625,
0.0003662109375,
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-0.058837890625,
-0.1318359375,
-0.0361328125,
0.08935546875,
0.0220947... | 36,901 | 36901 | |
Derivatives of Inverse Trigonometric Functions
January 14th 2010, 06:01 PM #1
Junior Member
Joined
Oct 2009
From
Bloomington, IN
Posts
29
Derivatives of Inverse Trigonometric Functions
Hello, and thanks in advance for your help.
I need to find the derivative of this problem, but am at a loss as ... | 5 | [
-0.008056640625,
0.01214599609375,
0.07666015625,
0.04638671875,
0.05224609375,
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0.0223388671875,
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0.015869140625,
0.0771484375,
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0.037353515625,
-0.038330078125,
-0.000514984130859375,
0.042724609375,
-0.02... | 36,902 | 36902 | |
have answer, need equation...
November 27th 2005, 10:18 AM #1
Newbie
Joined
Nov 2005
Posts
3
have answer, need equation...
OK, I have a points system where I can have up to 1.3billion points. I need to find a way to convert the points into percentages. I found a way to come up with the points, but I have... | 4 | [
-0.026611328125,
0.05322265625,
-0.0291748046875,
-0.0257568359375,
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0.0107421875,
0.0810546875,
0.035400390625,
0.0390625,
0.0174560546875,
0.0101318359375,
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0.053466796875,
0.04052734375,
0.072265625,
0.0294189453125,
-0.00106048583984375,
-0.00230... | 36,903 | 36903 | |
Fourier Theory Problem
July 5th 2010, 06:10 AM #1
Newbie
Joined
Jul 2010
Posts
2
Fourier Theory Problem
Is anyone able to prove, or provide a counter example to the following:
let $f(t)$ be a non-negative function, then the Fourier transform of $f(t)$, $F(\omega)$ say, takes its maximum absolute val... | 4 | [
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0.033447265625,
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0.03125,
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0.107421875,
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0.03076171875,
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0.0244140625,
0.07373046875,
0.0142822265625,
0.07568359375,
-0.033203125,
... | 36,904 | 36904 | |
Eigenvectors
July 1st 2008, 06:00 PM
jschlarb
Eigenvectors
I've calculated the following eigen value and determined the following matrix:
eigenvalue, U= -5
Original matrix
([-5-U] 2 -3)
(0 [1-U] -2)
(0 1 [4-U])
Solved Matrix:
(0 0 28)0
(0 3 -1)0
(0 0 0) 0
I'm not exa... | 4 | [
-0.015869140625,
0.0177001953125,
-0.0162353515625,
-0.048583984375,
0.052001953125,
-0.07958984375,
-0.005767822265625,
-0.06201171875,
-0.1201171875,
-0.0164794921875,
0.02978515625,
0.00909423828125,
-0.01318359375,
0.0289306640625,
-0.07958984375,
0.056640625,
-0.072265625,
-0.... | 36,905 | 36905 | |
Standard Form of a Line
Date: 04/23/2002 at 22:48:05
From: Tricia Swanson
Subject: Standard Form
What is standard form? What does Ax+by = c mean and what do the
letters stand for?
Date: 04/24/2002 at 23:05:27
From: Doctor Peterson
Subject: Re: Standard Form
Hi, Tricia.
This is what is sometimes called the "standa... | 4 | [
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-0.03515625,
0.04443359375,
-0.130859375... | 36,906 | 36906 | |
Math Help
March 24th 2009, 11:51 AM #1
Newbie
Joined
Mar 2009
Posts
22
Polynomial
I have the polynomial $f(x) = x^4-10x^2+1$ over $\mathbb Q$. It can be easily seen that Klein's Four group is the Galois group of this polynomial.
How can I show that the corresponding polynomial
$g(x) \in \mathbb ... | 5 | [
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0.006256103515625,
0.061279296875,
-0.0678710... | 36,907 | 36907 | |
CD random order problem
March 30th 2009, 12:50 AM #1
Newbie
Joined
Mar 2009
Posts
7
CD random order problem
Hi,
I was listening to a CD a week ago in random playback. At one point three of the tracks played in the correct order (24 tracks on the CD).
For example:
8, 4, 17, 10, 11, 12, ...
... | 5 | [
0.01806640625,
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0.0419921875,
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-0.0135498046875,
-0.0284... | 36,908 | 36908 | |
Related rates and how fast the height of a pile's increasing?
June 20th 2011, 03:12 PM #1
Newbie
Joined
Jun 2011
Posts
4
Related rates and how fast the height of a pile's increasing?
The question:
Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile in t... | 5 | [
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0.01123046875,
0.07... | 36,909 | 36909 | |
Isomorphism of a surjective group homomorphism
December 7th 2008, 04:09 PM
tttcomrader
Isomorphism of a surjective group homomorphism
Let p be a prime and let $\mathbb {Z} (p^ \infty ) = \{ \hat { \frac {a}{b} } \in \frac { \mathbb {Q} }{ \mathbb {Z} } : a,b \in \mathbb {Z} \ , \ b=p^i \ , \ i \geq 0 \}$.
P... | 5 | [
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0.0263671875,
0.0703125,
-0.07080078125,
-0.050048828125,
-... | 36,910 | 36910 | |
Chances of Winning the Lottery - for Dummies ;-)
Understand Your Chances Of Winning The Lottery In 5 Minutes Flat
Most lottery players fail to make the best of their chances of winning the lottery. Because normally, understanding your lottery winning chances involves more maths than most of us ever did at school
-- an... | 4 | [
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0.056884765625,
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-0.01019287109375,... | 36,911 | 36911 | |
Special divisor function summation
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
What is a good upper bound for $$\sum_{d\leq z} \mu(d)\frac{\tau(d)}{d}$$ where $\tau(d)$ is the divisor function?
nt.number-theory
B... | 5 | [
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0.035400390625,
0.0098876953125,... | 36,912 | 36912 | |
What is the left adjoint for taking rows of a bisimplicial set?
up vote 0 down vote favorite
Let $aSS$ / $abSS$ be the category of augmented bi/simplicial sets (one can also consider $SS$/$bSS$ be the usual bi/simplicial sets, the results should related in some reasonable way.)
There is an obvious functor $n$-th row ... | 5 | [
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0.033447265625,
-0.00... | 36,913 | 36913 | |
Quadratic function and exponential function question!
March 30th 2008, 11:23 AM
bubblegum
Quadratic function and exponential function question!
hi, it's me again. Thanks so much for the help last time. :)
i have this table of values:
x | y
1 | 20
3 | 320
i have to make a linear, quadratic, ... | 4 | [
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-... | 36,914 | 36914 | |
harvard
A Sharp for the Chang Model
William Mitchell
wjm@ufl.edu
University of Florida
February 19... | 4 | [
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Pigeonhole problem
Prove that there exists a positive integer n so that 44^n — 1 is divisible by 7.
There's no real need for a pigenhole principle here (look for little Fermat's theorem), but let's do it your way. Consider the eight numbers $44^0,44^1, 44^2,\ldots,44^7$. There are only 7 possible
remainders in the div... | 5 | [
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... | 36,916 | 36916 | |
Equation with 3 unknow
February 24th 2013, 08:27 PM
blackjack21
Equation with 3 unknow
hi all
my question is;
A,B and C is one-digit number different from 0 and each other
200A+40B+10A^2+AB+90C=2600
Actually the extended form was
300A+40B=2000
10A^2+AB-10C=300
100C-100A=300
... | 4 | [
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0.04150390625,
-0.0830078125,
-0.04223632... | 36,917 | 36917 | |
C++ help?
September 17th 2008, 09:10 PM
amor_vincit_omnia
C++ help?
I need to write a program that sums, term by term, the following poylnomial.
p(x) = 1 + x + x^2 + x^3 + x^4 + ... + x^38
when x = 0.5
Here's the code I did, but the answer is completely wrong, lol:
#include <iostream>
usi... | 5 | [
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-0.040771484375,
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-0.01708984375,
-0.07763671875... | 36,918 | 36918 | |
Help with steady-state unemployment
March 30th 2010, 06:27 AM #1
Newbie
Joined
Mar 2010
Posts
3
Help with steady-state unemployment
Hello,
I am a first year econ student, trying to work through Mankiw's Macroeconomics 7th edition textbook. However, I have run into a problem that I cannot seem to fin... | 5 | [
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-0.07958984375,
-0.008605957031... | 36,919 | 36919 | |
Help in polynomial division
April 24th 2009, 07:44 AM #1
Help in polynomial division
Hello , i am posting anything here for first time.....I am from India, and in XIth Standard presently.
I do have some trouble in division of polynomial by another polynomial but without using long division method and applica... | 4 | [
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0.052490... | 36,920 | 36920 | |
Trig Substitution Problem
February 10th 2011, 09:08 AM #1
Member
Joined
Apr 2010
Posts
81
Trig Substitution Problem
$<br /> \int_0^{7 \sqrt{3}/2} \sqrt{49 - x^2} \, dx<br />$
This problem really made me depressed..
Heres what I did:
$<br /> let x=7sin\theta, dx=7cos\theta, \theta=\arcsin(\f... | 5 | [
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0.00193023681640625,
-0.02... | 36,921 | 36921 | |
Maximum stress and bending moments
September 7th 2013, 05:09 AM #31
Junior Member
Joined
Sep 2013
From
texas
Posts
73
Re: Maximum stress and bending moments
Is it 8.3 for this one because of the reaction at the right hand support which is 8.3? Or why are you saying to use 8333? I used 8.4 which was t... | 5 | [
-0.00188446044921875,
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0.036865234375,
-0.0576171875,
0.1162109375,
-0.01519775390... | 36,922 | 36922 | |
calc 3, local maxes and mins
October 16th 2009, 03:18 PM #1
Member
Joined
Nov 2008
From
MD
Posts
165
find the points on the ellipsoid x^2 + (y^2)/4 + (z^2)/9 =1
that are closest to the origin
i'm not sure how to go about solving this problem. it has to do with maxes or mins i'm guessing sinc... | 5 | [
0.031982421875,
0.01513671875,
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0.078125,
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0.038330078125,
0.06298828125,
-0.015014648437... | 36,923 | 36923 | |
[SOLVED] Compound angle formulas - Finding exact values.
April 19th 2009, 11:36 AM #1
Newbie
Joined
Apr 2009
Posts
6
[SOLVED] Compound angle formulas - Finding exact values.
I am rather confused as to how to go about doing this problem.
Evaluate using formulas developed in this section.
$tan(-\f... | 4 | [
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0.00257873535... | 36,924 | 36924 | |
Joint pdf of standard normal and chi sq.
August 8th 2009, 04:12 AM #1
Junior Member
Joined
May 2009
Posts
25
Joint pdf of standard normal and chi sq.
$X_{1},...,X_{N}$ is a random sample from a $N(\mu,\sigma^2)$ distribution, where $\mu$ and $\sigma$ are unknown.
I'm given:
$Z = \frac{\sqrt{n}(... | 4 | [
-0.034912109375,
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0.0478515625,
-0... | 36,925 | 36925 | |
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Topic: Whatever the distribution, no matter the statistic... | 5 | [
-0.04296875,
-0.08935546875,
0.011962890625,
0.00927734375,
0.0279541015625,
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0.001373291015625,
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0.0269775390625,
-0.01141357421875... | 36,926 | 36926 | |
Math Forum: Teacher2Teacher - Q&A #7499
Teacher2Teacher Q&A #7499
Teachers' Lounge Discussion: Curious about fractions
... | 4 | [
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0.050048828125,
0.024169921875,
-0.00194549560546875,
-0.050537109375,
-0.02783203125,
0.048583984375,
0.08203125,
0.046630859375,
0.0400390625,
-0.0189208984375,
-0.00150299072265625,
0.09619140625,
0.0050048828125,
0.031982421875,
0.08154296875,
... | 36,927 | 36927 | |
More Parametric
March 13th 2008, 06:09 PM #1
Junior Member
Joined
Feb 2008
Posts
48
More Parametric
Use the parametric equations of the ellipse x=5cos(theta), y=7sin(theta) to find the area enclosed by the ellipse for
(-5*radical 3)/2, less than or equal to x, less than or equal to (5*radical 3)/2
... | 4 | [
-0.041015625,
-0.021484375,
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0.049072265625,
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0.11669921875,
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0.033203125,
0.07080078125,
0.048583984375,
-0.045166015625,
-0.01733398437... | 36,928 | 36928 | |
EconPort - Online Resources
Showing results for:
Economic Category: Game Theory
Jump to section:
2. Experience from a Course in Game Theory: Pre and Post-Class Problem Sets as a Didactic Device
This is a revised version of my paper with the same title published in Games and Economic Behavior, 28 (1999), 155-170. The... | 4 | [
0.0001983642578125,
0.044189453125,
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0.07958984375,
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0.04931640625,
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0.06103515625,
... | 36,929 | 36929 | |
Reduction formula problem..
February 5th 2014, 06:13 AM #1
Junior Member
Joined
Feb 2010
Posts
37
Can someone help me with this question..
For the integral $\int{\frac{1}{( x^2 + 1 )^n}} dx$ prove the reduction formula :
$I_{n} = \frac{1}{n-2} . \frac{x}{(x^2+1)^{n-1}} + \frac{2n - 3}{2n-2}I_{n-1... | 5 | [
0.00089263916015625,
-0.018310546875,
0.032958984375,
-0.0225830078125,
0.06787109375,
0.004669189453125,
-0.0166015625,
0.08837890625,
0.0263671875,
-0.05419921875,
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-0.022705078125,
-0.0233154296875,
-0.0810546875,
-0.006134033203125,
-0.01171875,... | 36,930 | 36930 | |
Is it true that all the "irrational power" functions are almost polynomial ?
up vote 4 down vote favorite
Hello all, the $\Delta$ operator on functions $\mathcal{N} \to \mathbb{R}$ (where $\mathcal N$ denotes $\lbrace 1,2, \ldots , \rbrace$ )defined by $\Delta(f)(n)=f(n+1)-f(n)$ is well-known and it is
not very hard t... | 4 | [
0.0281982421875,
0.018310546875,
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0.057861328125,
-0.00836181640625,
0.03173828125,
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0.018798828125,
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-0.025146484375,
-0.00... | 36,931 | 36931 | |
Simplifying Log. Problem
March 2nd 2010, 07:27 AM
Savior_Self
Simplifying Log. Problem
Hey guys. Alright, here's the problem:
(not sure how to do log base 3 in LaTex.. so log.3 = log base 3)
Expand as the sum of individual logarithms, each of whose argument is linear. Simplify your answer: $log.3(\fr... | 4 | [
0.021484375,
-0.03125,
-0.048095703125,
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0.016845703125,
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0.0625,
0.044189453125,
0.05224609375,
-0.10205078125,
0.0888671875,
-0.02380... | 36,932 | 36932 | |
Finding Surface Areas
Date: 06/17/2002 at 18:35:28
From: Megz
Subject: Measurement.
I don't understand the formulas to figure out surface area on the
different kinds of figures. It is really confusing to me, and hard
to explain about what I don't understand. It's basically the whole
thing about it.
Megz
Date: 06/1... | 4 | [
0.0400390625,
0.0250244140625,
0.076171875,
0.0361328125,
-0.00162506103515625,
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0.0380859375,
0.02392578125,
0.02783203125,
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0.07177734375,
0.0022735595703125,
-0.037353515625,
-0.06884765625,
0.019165... | 36,933 | 36933 | |
Conic hulls and cones
up vote 6 down vote favorite
2
Suppose I have a number of vectors in $\mathbb{R}^n.$ The first question is: what is the most efficient algorithm to compute their "conic hull" (the minimal convex cone which contains them)? The next
question is: suppose I have a number of vectors $v_1, \dotsc, v_n,... | 4 | [
0.0208740234375,
0.0159912109375,
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-0.0142822265625,
0.0341796875,
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0.053466796875,
-0.0272216796875,
0.040283203125,
0.046142578125,
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-0.0380859375,
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0.017822265625,
-0.064453125,
-0.01092529296875,
0.046875,
-0.03442382... | 36,934 | 36934 | |
Polynomial and derivative problem
March 21st 2007, 04:03 PM #1
Newbie
Joined
Mar 2007
Posts
2
Polynomial and derivative problem
Hello everyone,
this is the exact question
what I have so far is that:
P'(x)= 3ax^3 + 2bx^2 + c
Then from what I understand P'(0)=0
so then:
P'(0)=0=... | 4 | [
0.015625,
0.03125,
-0.0220947265625,
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0.07763671875,
-0.076171875,
-0.0009765625,
-0.0006446... | 36,935 | 36935 | |
Changing the subject of a formula
August 8th 2010, 08:21 PM
PythagorasNeophyte
Changing the subject of a formula
A very good day everyone. I am urgently requesting for your help for this taxing mathematics questions, all relating to algebra (changing the subject of a formula).
If you could help me to explain... | 4 | [
-0.050048828125,
0.10693359375,
0.051513671875,
-0.002410888671875,
0.0146484375,
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-0.0157470703125,
-0.0... | 36,936 | 36936 | |
f and e^f have no common pole?
February 1st 2010, 06:23 AM #1
Senior Member
Joined
Jul 2009
Posts
254
f and e^f have no common pole?
Prove that an isolated sigularity of $f(z)$ cannot be a pole of $e^{f(z)}$.
I know the key is to prove that $f$and $e^f$have no common pole, but how??
Hello! Here ... | 5 | [
-0.047119140625,
0.041259765625,
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-0.061279296875,
-0.034... | 36,937 | 36937 | |
ur
Theory & Definitions
Last Modification: February 17, 2013
Connecting a measurement instrument in the right way only is one thing. But, to determine the correct parameter needs more considerations.
Very important is the question: For what purpose do I do this measurement?
Performing a current measurement to examine... | 4 | [
-0.1044921875,
0.0908203125,
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0.057373046875,
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0.04736328125,
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-0.00274658203125,
... | 36,938 | 36938 | |
logarithms
December 18th 2007, 08:01 PM #1
Junior Member
Joined
Nov 2007
Posts
41
logarithms
I think this is supposed to go here...anyways..
I need help with this log.
Solve for x
5^(2x) - 5^(x) - 20 = 0
please and thank you...I've been stuck on it for a half hour now.
Hello,
... | 4 | [
0.042236328125,
-0.0283203125,
0.0625,
0.044921875,
0.0262451171875,
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0.0225830078125,
0.09619140625,
-0.09423828125,
-0.0771484375,
-0.02294921... | 36,939 | 36939 | |
Is Mertens function negatively biased?
up vote 2 down vote favorite
2
A comment in OEIS about Mertens function claims:
The graph seems to show a negative bias for the Mertens function which is eerily similar to the Chebyshev bias (described in A156749 and A156709). The purported bias seems to be empirically
a... | 4 | [
-0.058837890625,
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0.044189453125,
-0... | 36,940 | 36940 | |
What is the mean in this problem?
July 6th 2010, 11:07 AM #1
Newbie
Joined
Jun 2010
Posts
9
What is the mean in this problem?
In a particular basketball league, the standard deviation in the distribution
of players' height is 2 inches. Twenty- five players are selected at random
and their heights... | 4 | [
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0.034912109375,
0.0439453125,
-0... | 36,941 | 36941 | |
The mathematical theory of Feynman integrals
up vote 47 down vote favorite
28
It is well known that Feynman integrals are one of the tools that physicists have and mathematicians haven't, sadly. Arguably, they are the most important such tool. Briefly, the question I'd like to
ask is this: what are the existing propos... | 4 | [
-0.12158203125,
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0.045654296875,
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0.07958984375,
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0.009765625,
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0.034912109375,
0.054931640625,
0.034423828125,
0.00811767578125,
0.10693359... | 36,942 | 36942 | |
Fractal Tiling of Rhombic Dodecahedra
up vote 8 down vote favorite
2
Hello, this is my first question on Math Overflow...
Rhombic dodecahedra can be tiled in 3-space, leaving no gaps. This tiling corresponds to the close-packing of spheres.
Consider a "nucleus" rhombic dodecahedron ("rd") surrounded by 12 rd's, such... | 5 | [
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0.0390625,
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0.0108642578125,
-0.08056640625,
-0.018798828125,
0.020751953125,... | 36,943 | 36943 | |
how to find maximum and minimum points for this equation?
November 29th 2009, 10:11 AM #1
Newbie
Joined
Nov 2009
Posts
19
how to find maximum and minimum points for this equation?
can anyone please help me with finding the maximum and minimum points for this equation??
(pi)x^2 + 4(pi)^2.x^2 - 28(pi)... | 5 | [
-0.02001953125,
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0.052001953125,
0.01434326171875,
0.038818359375,
-0.005218505859375,
-0.05053... | 36,944 | 36944 | |
Math Help
March 25th 2009, 12:01 PM #1
Newbie
Joined
Mar 2009
Posts
1
Identities
It's been a while since my last math class, and my current teacher isnt the greatest. We're assigned a fair amount of homework everynight, and it just takes me forever to do it, and its taking
all of my time, leaving no... | 4 | [
-0.09716796875,
0.048828125,
0.080078125,
-0.004486083984375,
-0.004058837890625,
0.00151824951171875,
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0.056640625,
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0.0361328125,
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0.1142578125,
0.01251220703125,
0.06787109375,
0.004425048828125,
... | 36,945 | 36945 | |
circle problem..
• circle problem..
In the attached figure, AB//OC, <ABC=130, Find x,y.
•
Hint:
let angleBAO = z
x + y = 130 - 2z
•
•
•
•
Ya, good question Archie.
I don't think it's possible that they are parallel, with AD being diameter
and C... | 4 | [
-0.037841796875,
0.042724609375,
-0.11083984375,
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0.078125,
0.0703125,
-0.027099609375,
-0.05029296875,
-0.0048828125,
-0.01... | 36,946 | 36946 | |
Can a continuous, nowhere differentiable function have specified "shape" at every point?
up vote 7 down vote favorite
2
I'm a bit embarrassed to admit that:
a) This is a rather unmotivated question.
b) I can't remember whether or not I've asked this before, but searching doesn't seem to turn anything up so ...
Cons... | 5 | [
-0.020263671875,
-0.0791015625,
0.00830078125,
-0.01116943359375,
0.036865234375,
-0.0181884765625,
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0.0703125,
0.0537109375,
-0.10009765625,
0.0390625,
-0.044189453125... | 36,947 | 36947 | |
Simple fraction derivative.
May 25th 2011, 01:05 PM #1
Junior Member
Joined
Mar 2011
Posts
32
Simple fraction derivative.
Hi all,
I have been asked to differentiate the function $f(x)=\frac{5}{x}$ where $(x>0)$. I have not been asked previously in exercises (or taught for that matter) how to differe... | 4 | [
-0.0380859375,
0.00115203857421875,
0.1142578125,
0.04736328125,
0.01275634765625,
-0.1064453125,
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-0.01177978515625,
0.025390625,
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0.0908203125,
-0.0263671875,
0.0927734375,
0.0101318359375,
0.0038146972... | 36,948 | 36948 | |
Quadratic help!!
June 19th 2010, 10:11 PM #1
Newbie
Joined
May 2010
From
Australia
Posts
7
marnie can walk 1km/m faster the jon. She completes a 20km hike 1 hour before him. Write an equation and solve it to find there walking speeds.
i cannot seem to solve this ahh
Hello LaylaSam
Suppos... | 4 | [
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0.0927734375,
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0.012939453125,
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-0.0047607421875,
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0.07275390625,
-0.02880859375,
0.0216064453125,
-0.01422119140625,
0.0625,... | 36,949 | 36949 | |
Finding Internal Volumes and Total Surface Areas of a Cylinder
March 30th 2010, 12:49 PM #1
Newbie
Joined
Mar 2010
Posts
13
Finding Internal Volumes and Total Surface Areas of a Cylinder
A Pencil case in the shape of a cylinder with a hemisphere at each end has a diameter of 8cm and a total length of 22c... | 4 | [
0.032958984375,
0.043701171875,
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-0.06396484375,
-0.0308837890625,
... | 36,950 | 36950 | |
Can 2 times the dot product of 2 complex numbers equal to this?
August 27th 2012, 07:04 AM #1
Can 2 times the dot product of 2 complex numbers equal to this?
There's a section in Gibson's "Elementary Geometry of Differentiable Curves:An Undergraduate Introduction" book on page 6:
"Example 1.4: Recall that th... | 4 | [
-0.1015625,
-0.05859375,
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0.0234375,
0.0869140625,
-0.0908203125,
0.044677734375,
... | 36,951 | 36951 | |
If P then Q
Date: 08/29/97 at 03:40:07
From: Harout Jarchafjian
Subject: If p then q
Our math book states that the implication of if p then q, the truth
table, is
p = true, q = true, statement = true
p = true, q = false, statement = false
p = false, q = doesn't matter, statement = true
I don't understand ... | 4 | [
0.09765625,
0.0322265625,
0.0020904541015625,
0.04248046875,
-0.02294921875,
0.04736328125,
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0.03564453125,
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0.040771484375,
-0.047119140625,
-0.0654296875,
-0.0123291015625,
... | 36,952 | 36952 | |
Unbalancing lights in higher dimensions
up vote 15 down vote favorite
8
In ''The Probabilistic Method'' by Alon and Spencer, the following unbalancing lights problem is discussed. Given an $n \times n$ matrix $A = (a_{ij})$, where $a_{ij} = \pm 1$, we want to maximise
the quantity
$x^T A y = \sum_{i=1}^n \sum_{j=1}^n... | 4 | [
-0.00860595703125,
-0.10009765625,
-0.01080322265625,
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0.12451171875,
0.07470703125,
0.016845703125,
0.0032501220703125,
0.2197265625,
0.062255859375,
0... | 36,953 | 36953 | |
More expanding and simplifying and finding volume
January 5th 2010, 07:32 AM
Mukilab
More expanding and simplifying and finding volume
1)Expand and simplify
$n^2+(n-1)^2$ I got $n^4-2n+1$????
If n is a whole number show that this expression must be an odd number. From my previous post would this be the ... | 4 | [
-0.04296875,
0.08740234375,
0.0556640625,
0.052978515625,
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0.11279296875,
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0.0218505859375,
0.00122833251953125,
0.04150390625,
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0.03515625,
-0.01483154296875,
... | 36,954 | 36954 | |
Advanced Topics on Clothing Simulation and Animation SIGGRAPH 2005
SIGGRAPH 2005 Course #6:
Advanced Topics on
Clothing Simulation and Animation
Organizers: Hyeong-Seok Ko
Kwang-Jin Choi
Lecturers: Robert Bridson
Donglian... | 4 | [
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0.034912109375... | 36,955 | 36955 | |
How can you get a fair coin toss if someone hands you a coin that is weighted to come up heads more often than tails?
Hint:Treat outcome TH as tails, HT as heads, and reflip when you get TT and HH.
Explaination
f a cheat has altered a coin to prefer one side over another (a biased coin), the coin can still be used fo... | 5 | [
-0.060791015625,
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0.0037078857421875,
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0.0194091796875,
0.068847656... | 36,956 | 36956 | |
Logarithms: Solving for T
Date: 01/30/98 at 21:01:04
From: Matt Hubble
Subject: I need help solving a math problem
My wife is currently taking a finance course and we are both stuck on
a simple algebra problem that neither one of us has done for years
since we have completed all of our schooling. The problem works o... | 4 | [
-0.040771484375,
0.0693359375,
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0.048095703125,
0.019775390625,
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0.08984375,
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0.0181884765625,
-0.140625,
0.01086425... | 36,957 | 36957 | |
limits and converges or diverges.
Question 1: Find the limit: $\lim_{x \to 3} \frac{(x-3)}{3x^2-13x+12}$ Factorise the denominator: $\lim_{x \to 3} \frac{(x-3)}{3x^2-13x+12}=\lim_{x \to 3} \frac{(x-3)}{(x-3)(3x-4)}=\lim_{x \to 3} \
frac{1}{3x-4}=1/5$ Question 2: Determine if the following series converges or diverges: ... | 4 | [
-0.00064849853515625,
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-0.0419921875,
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0.020263671875,
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-0.0517578125,
-0.031005859375,
0.0120849609375,... | 36,958 | 36958 | |
Simplify Equation
January 30th 2010, 05:29 PM #1
Newbie
Joined
Jan 2010
Posts
2
Simplify Equation
I am unable to come up with the answer to the key for this problem. Can someone give it a try?
(4x^2+x-6)/(x^2+3x+2)-3x/(x+1)+5/(x+2)
Thanks in advance!
Dear sprivitor,
$\frac{4x^2+x-6}{(... | 4 | [
-0.04541015625,
-0.01080322265625,
0.04638671875,
0.048828125,
-0.0027008056640625,
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-0.03125,
0.041748046875,
-0.01495361328125,
0.03857421875,
-0.0615234375,
-0.00860595703125,
-0.010498046875,
-0.038818359375,
0.0458984375,
0.0250244140625,
0.0668945... | 36,959 | 36959 | |
Change of variable for Laplace equation
November 21st 2009, 05:22 PM
jkhayer
Change of variable for Laplace equation
How do I show that the change of variable:
x = rcosθ , y = rsinθ
converts the Laplace equation uxx + uyy = 0 to
urr + 1/r ur + 1/r2 uθθ = 0
Here is my understanding:
uxx ... | 4 | [
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0.03173828125,
-0.032958984375,
-0.06787109375,
-0.... | 36,960 | 36960 | |
I need this explained....
December 8th 2010, 12:39 PM
bradycat
I need this explained....
Hello,
My notes have y=sqrt x^2-16
Now it's -4 and 4 on the x axis, but just the top part of the y curve, as it starts with that. going out to each side.
So the fixing up the equation above is y^2=x^2-16
so ... | 4 | [
0.026611328125,
-0.003936767578125,
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0.052490234375,
0.029541015625,
0.10546875,
-0.0703125,
-0.06591796875,
... | 36,961 | 36961 | |
What does the computer suggest about the parity of p(n), for n in a fixed arithmetic progression?
up vote 11 down vote favorite
3
Let p(n) be the number of partitions of n. A famous theorem of Euler allows one to compute the parity of p(n) quickly for quite large n. In:
On the distribution of parity in the partition ... | 5 | [
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-0.058837890625,... | 36,962 | 36962 | |
Mapping - Hyperbolic Functions
April 13th 2014, 10:16 PM #1
Newbie
Joined
Apr 2014
From
Australia
Posts
2
Mapping - Hyperbolic Functions
For the mapping f(z) = sinh(z), find and sketch the image of im(z) = d
z = x + iy
w = u + iv
This is the solution given:
$\left(\frac{v}{sin d}\ri... | 5 | [
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... | 36,963 | 36963 | |
understanding this improper integral
June 26th 2007, 04:31 PM
Possible actuary
understanding this improper integral
My teacher worked this problem one way and I think I have found an easier way. Also, I don't understand how he came to his conclusion.
Here is the problem: $\int_{0}^{e} ln {x}^2~dx$ This is h... | 5 | [
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0.08251953125,
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limit
find the limit as x approaches 0 of (1/x) to the x power
Judging by the graph of the function the limit does not exist. But it's bean a while since I've calculated a limit and may be wrong(Doh) Actually I'm curious how does $\displaystyle \lim_{x \to 0} (\
frac {1}{x})^x = 1$ ? The function keeps getting more co... | 5 | [
0.0556640625,
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0.015625,
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-0.05517578125,
-0.0849609375,
-0.0500488281... | 36,965 | 36965 | |
Trigonometry
December 18th 2008, 03:58 PM #1
Newbie
Joined
Sep 2008
From
Stockholm
Posts
15
Trigonometry
Hello!
The problem is to find A=? B=? and C=?
(7*cos x +3*sin x)^2 = A*cos 2x+B*sin 2x + C
Can anyone help me with this problem?
Thanks
Dear Kluringen,
you didn't say a... | 4 | [
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0.033935546... | 36,966 | 36966 | |
Finding Integer Pairs Whose Product Consists Only of 1's and 0's
Date: 10/06/2004 at 20:21:23
From: Kris
Subject: How can the product of 2 numbers contain only ones and zeros
Given the base-10 representation of any integer a, does there exist a
non-zero integer b such that the base-10 representation of the product
ab... | 5 | [
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0.072265625,
-0.0201416015625,
0.0380859375,
-... | 36,967 | 36967 | |
interesting problem with a function (not defined) - quite intimidating
December 28th 2012, 03:20 PM
zachd77
interesting problem with a function (not defined) - quite intimidating
I found this question to be quite intimidating:
Suppose a function f has the following properties:
a) Show that: Attachmen... | 5 | [
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-0.0167236328125,
-0.04... | 36,968 | 36968 | |
Simpleg Algorithm LP trouble.
April 16th 2012, 08:24 PM #1
Member
Joined
Sep 2010
Posts
151
Thanks
3
Simpleg Algorithm LP trouble.
Vinery 1 can produce 30 boxes per day.
Vinery 2 can produce 20 boxes per day.
Fred's needs at least 20 boxes a day.
Kevin's needs at least 18 boxes a day.
... | 5 | [
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... | 36,969 | 36969 | |
Solution for December 2008 - Math Central
Current Recent problems
problem with solutions
Solution for December 2008
The Problem:
MP82 December 2008
A point is placed inside an equilateral triangle so that its distances from t... | 5 | [
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-0.0534... | 36,970 | 36970 | |
Integration by Parts the Adult Way
April 20th 2008, 06:23 PM #16
"You are almost right except u and v are functions of x...if they were different variables you would have to assume one is a constant...making the integration exceedingly simple"
Okay, that may be where I'm going wrong. When I have taken u and v... | 5 | [
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-0.... | 36,971 | 36971 | |
Justin Bozonier: Innumeracy is the new illiteracy.
Why Sample Sizes?
When talking about an experiment design, the most contentious topic without a doubt is that of sample size. Most commonly, "Why is the sample size so big?" The good news is that the sample size
doesn't have to be so big IF you're willing to compromis... | 5 | [
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0.09326171875,
0.0245361328125... | 36,972 | 36972 | |
Need help with exponents
I dont remember how to do this problem and being summer, I dont have my textbook to help. Solve: 4^(x+2)=9^(x-1)
I still cant figure it out, sorry. All of the other problems I have to do have the same base or can be simplified to have the same base.
Whatever base you choose, the rules are the... | 5 | [
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0.03125,
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0.05712890625,
-0... | 36,973 | 36973 | |
Making all cardinals countable and its HOD
up vote 8 down vote favorite
4
Suppose that $G$ is $Col(\omega, <Ord)$-generic over $V$ and let $W=HOD^{V[G]}$. Is $CH$ true in $W$? In general, what can we say about the behaviour of the power function in $W$?
Update. Are the models $HOD^{V^{Col(\omega, <ord)}}$ and $gHOD$ ... | 4 | [
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... | 36,974 | 36974 | |
How do you solve the problem: 0=3^2x-5X+2
I got the answer of
X=1, X=2/3
but the answer in the book is -1/3,2
This is how I did it:
0=3^2x-5X+2
0=3^2x-3X-2X+2
0=3X(X -1) + 2 (X-1)
0= (X-1)(3X+2)
0= 1, -2/3
| 4 | [
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-0.0649414... | 36,975 | 36975 | |
Performance Analysis of ANN on Dataset Allocations for Pattern
Mathematical Theory and Modeling www.iiste.org
ISSN 2224-5804 (Paper) ISSN 2225-0522 (Online)
Vol.2, No.10, 2012
Performance ... | 4 | [
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0.00653076171875,
0.06225585937... | 36,976 | 36976 | |
integral cosine and exponential
I'm trying to solve the following integral int_0^{+infintity} 1/(1+a^2*x^2)*exp(-b^2*x^2)*cos(c*x) dx where a,b and c are real. thanks a lot Marco
yes, it is exactly that. I will use \math next time
I though it was not necessary to have $b\in N$ It is not sufficient that $b\in R$ why ... | 5 | [
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0.02099609375,
0.003021240234375,
0.0578... | 36,977 | 36977 | |
Non-Standard Prime
up vote 9 down vote favorite
1
Hello,
My question is about the non-standard models of the integers. If we add to the Peano's axioms $P$ of arithmetic the following axioms for a fixed constant $c$: $c \neq 0$, $c \neq 1$, $c \neq 1+1$, $c
\neq 1+1+1$, etc... and $c=ab \implies a=1~~ou~~b=1$. We obta... | 5 | [
-0.0238037109375,
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0.041259765625,
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0.10986328125,
-0.0208740234375,
-0.00927734375,
-0.10986328125,
0.04345703125,
0.02... | 36,978 | 36978 | |
2 Vector classes
2 Vector classes
Two mutable vector types are available: Vector2 and Vector3, for 2D and 3D vectors, respectively. Vectors are assumed to hold floats, but most operations will also work if you use ints or longs
instead. Construct a vector in the obvious way:
>>> Vector2(1.5, 2.0)
Vector2(1.50, 2.00)... | 4 | [
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0.1347656... | 36,979 | 36979 | |
Stuck on Volume of Solids
April 2nd 2010, 12:32 AM #1
Newbie
Joined
Apr 2010
Posts
1
Hey guys, I have been attempting the following problem for days now, and I just cannot seem to get the right answers. I know it probably is really simple and that I am over thinking it, but my
answers are always off. ... | 5 | [
0.01171875,
0.00396728515625,
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0.0179443359375,
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0.01409912109375,
-0.032958984375,
-0.022... | 36,980 | 36980 | |
Triangle side length
Given $\triangle$ABC, where AD is perpendicular to BC, B=45 $^{\circ}$, C=60 $^{\circ}$, and AB=10, determine the length of AC.
Hello, chengbin! Given $\Delta ABC$, where $AD \perp BC,\;\;B=45^o,\;\;C=60^o,\;\;AB=10$ Determine the length of $AC$. Is there a typo? . . As written, altitude $AD$ is i... | 4 | [
-0.054931640625,
0.13671875,
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-0.0279541015625,
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0.078125,
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0.06689453125,
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0.08154296875,
-0.09765625,
0.01080322... | 36,981 | 36981 | |
Calculus Question
March 2nd 2010, 03:05 PM #1
Newbie
Joined
Feb 2010
Posts
19
Calculus Question
I do not know how to find part b of this problem can anyone help me.
When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has increased t... | 5 | [
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0.078125,
-0.0308837890625,
-0.0037078857421875,
... | 36,982 | 36982 | |
Find the Perimeter of the Rectangle
Date: 09/06/2002 at 17:08:11
From: Booram
Subject: Circles and rectangles
This question is too hard for me. Can you please tell me the solution?
Two circles of radii 9 and 17 centimetres are enclosed within a
rectangle with one side of length 50 cm. The two circles touch each
othe... | 4 | [
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0.1171875,
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0.0174560546875,
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0.01019287109375,
... | 36,983 | 36983 | |
Laplace
April 28th 2010, 02:40 PM
dwsmith
Laplace
Is this going in the right direction with this problem?
$y''-4y'+13y=e^{3t}; y(0)=0; y'(0)=1$
$s^2Y(s)-1-4sY(s)+13Y(s)=\frac{1}{s-3}$
$Y(s)[s^2-4s+13]=\frac{1}{s-3}+1$
$Y(s)=\frac{1}{(s-3)[(s-2)^2+11]}+\frac{1}{(s-2)^2+11}$
Before I conti... | 5 | [
-0.126953125,
0.044677734375,
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0.049560546875,
0.059814453125,
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0.01434326171875,
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-0.06689453125,
0.006439208984... | 36,984 | 36984 | |
A question on the singular series and singular integral in Hardy-Littlewood Circle Method
up vote 5 down vote favorite
2
Given a set $A$ of positive integers, set $r_{A,h}(N)$ to be the number of $h$-tuples $(a_1, \cdots, a_h)$ such that $N = a_1 + \cdots + a_h$. Set $f(z) = \sum_{a \in A} z^a$. Then by Cauchy's
Theor... | 4 | [
0.0181884765625,
0.040771484375,
-0.04638671875,
0.05029296875,
0.044189453125,
0.05224609375,
0.00153350830078125,
0.044189453125,
-0.0166015625,
0.007080078125,
-0.039794921875,
0.041748046875,
0.06787109375,
-0.06689453125,
-0.059814453125,
-0.08837890625,
-0.035400390625,
-0.07... | 36,985 | 36985 | |
Math problem
let a,b are positiv real such abc=1 prove that a+b+c>=sqrt(a)+sqrt(b)+ sqrt(c)
because $a+1\geq 2\sqrt{a},b+1\geq 2\sqrt{b},c+1\geq 2\sqrt{c}$, we obtain $a+b+c \geq \sqrt{a}+\sqrt{b}+\sqrt{c}+(\sqrt{a}+\sqrt{b}+\sqr t{c}-3)<br />$$\geq \sqrt{a}+\sqrt{b}+\sqrt{c}+(3\sqrt[3]{\
sqrt{abc}}-3)<br /> =\sqrt{a}... | 5 | [
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0.055419921875,
0.01251220703125,
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-0.061279296875,
0.046875,
0.023681640625,
0.00390625,
0.02734375,
-0.01220703125,
0.010498046875,
0.008... | 36,986 | 36986 | |
critical values of motives
up vote 3 down vote favorite
1
Hi friends,
I have some questions concerning the critical values of motives, in the sense of Deligne. I will only look at motives of the form $h^i(X)$ where $X$ is a smooth projective algebraic variety over $\
mathbb{Q}$. If I understand correctly, the notion ... | 4 | [
-0.099609375,
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0.023681640625,
0.1064453125,
0.099609375,
0.095703125,
0.10693359375,
-0.01275634765625,
0.00141143798828125,
0.08154296875,
-0.01312255859375,
0.10546875,
-0.036376953125,
0.04443359375,
-0.0260009765625,
0.0341796875,
-0.095214... | 36,987 | 36987 | |
Factoring a Difference of Squares with Terms That Are Not Monomials
Factoring a Difference of Squares with Terms That Are Not Monomials
Date: 10/26/2008 at 21:55:53
From: Aaron
Subject: Factoring difference of squares that are not monomials
I need to know how to do this, and I can't do it..like here's an
example if ... | 4 | [
0.0108642578125,
0.04931640625,
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0.008544921875,
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0.00152587890625,
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0.007537841796875,
0.01556396484375,
0.033447265625,
0.056396484375,
0.01519775390625,
0.04931640625,
-0.031982421875,
0.0... | 36,988 | 36988 | |
bernoulli equation
February 5th 2009, 05:04 PM #1
Junior Member
Joined
Feb 2009
Posts
45
bernoulli equation
xz(dz/dx) = x^2 + 3z^2 with z(1) = 1 ,,,,,,,,,, i have not learned bernoulli's equation and was given this question, although i have read about it on wikipedia, that was not enough can someone
... | 4 | [
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0.0087890625,
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-0.029296875,
-0.0118408203125,
-0.039794921875,
-0.023193359375,
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0.0177001953125,
-0.0181884765625,
-0.034912109375,
-0.00982666015625,
-0.06640625,
-0.... | 36,989 | 36989 | |
Laplace's equation in the semi-infinite strip 0 < x < a, y > 0
November 25th 2010, 12:53 AM
mukmar
Laplace's equation in the semi-infinite strip 0 < x < a, y > 0
Problem:
$u_{xx} + u_{yy} = 0, 0 < x < a, y > 0$
$u(0, y) = u(a, y) = 0$ and $u(x, 0) = f(x)$
$u$ bounded as $y \to \infty$
Find $u... | 4 | [
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0.01263427734375,
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-0.016357421875,
-0.09765625,
-0.04638671875,
-0.018798828125,
0.02685546875,
0.030517578125,
-0.04736328125,
-0.0167236328125,
0.0308837890625,
-0.032470703125,
-0.0062561035156... | 36,990 | 36990 | |
need help on probability
My Solution:: b i) no answer b ii) no answer b iii) no answer
You should have a table of the standard normal distribution. Let $z=(t-90)/20$, where $t$ is the time a punter spends in the casino in minutes, then $z$ has a standard normal distribution. a) That
$t>100$ corresponds to $z>(100-90)/... | 5 | [
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0.1279296875,
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0.06640625,
0.03564453125,
0.0089111328125,
0.07763671875,
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0.06298828125,
0.060546875,
0.015869140625,
-0.0634765625,
0.02294921875,
-0.03515625,
... | 36,991 | 36991 | |
Atoms of a sequence of Sigma-algebras
up vote 3 down vote favorite
I'm trying for some time now to prove or disprove the following conjecture to no avail:
Let $S$ be a set and let $(\Sigma _n)$ be a sequence of countably generated $\sigma$-algebras on $S$ satisfying the following two conditions:
1. $\Sigma_... | 5 | [
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0.02490234375,
0.021240234... | 36,992 | 36992 | |
Hypothesis testing and confidence intervals
March 3rd 2011, 09:26 AM
jhallett17
Hypothesis testing and confidence intervals
Here is the question:
Suppose that we are interested in buying ball bearings from a certain manufacturer. We require very precisely manufactured ball bearings, and so we decide to inves... | 4 | [
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0.04296875,
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0.0888671875,
-0.01... | 36,993 | 36993 | |
Dolbeault cohomology of complex tori.
up vote 11 down vote favorite
5
Let $T=\mathbb C^n/\Lambda$ a complex torus. It is completely elementary to prove that the de Rham cohomology of $T$ in degree $q$ is isomorphic to the $q$-th exterior power of the dual of $\mathbb C
^n$.
Indeed, if $\omega$ is a $d$-closed $q$-for... | 4 | [
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-0.0169677734375,
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0.0018310546875,
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0.038818359375,
-0.06689453125,
-0.0029907... | 36,994 | 36994 | |
World Population Problem Using Integrals
August 2nd 2010, 08:55 PM #1
Newbie
Joined
Jul 2010
Posts
3
World Population Problem Using Integrals
Here is the factoids from the original problem:
F(0) = 6
lim(x -> infinity) F(x) = 30
rate of population growth = $(A*e^t)/((.02*A+e^t)^2)$
where ... | 4 | [
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-0.038330078125,
0.040771484375,
-0.0203857421875,
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0.0771484375,
-0.0108642578125,
0.09326171875,
0.171875,
-0.0810546875,
0.032470703125,
0.016845703125,
0.00543212890625,
0.01611328125,
-0.058837890625,
-0.03149414... | 36,995 | 36995 | |
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Topic: Egypttian and Greek sqare root
Replies: 9 Last Pos... | 4 | [
-0.115234375,
0.00750732421875,
0.007476806640625,
-0.0279541015625,
-0.09326171875,
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0.0255126953125,
0.0673828125,
0.038818359375,
-0.007232666015625,
-0.00537109375,
0.00098419189453125,
0.072265625,
-0.0458984375,
-0.0703125,
-0.08349609375,
0.07812... | 36,996 | 36996 | |
Murdered Professor
Date: 06/26/97 at 14:22:58
From: Brett Wilson
Subject: Exponential puzzle
Dr. Math,
Please help me with this puzzle given to me by my calculus professor:
Suppose that you come into your professor's office to ask some
questions shortly before 9:00 a.m. on Friday. You find him lying on
the floor o... | 5 | [
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0.044189453125,
-0.0869140625,
-0.008544921875,
-0.0673828125,
-0.... | 36,997 | 36997 | |
Algebra - Please help
June 16th 2008, 11:23 AM #1
Member
Joined
Jan 2006
From
Gdansk, Poland
Posts
117
Algebra - Please help
$X_1$, $X_2$ are nonempty sets. Let $\mathcal{F}_1 \subset 2^{X_1}$ and $\mathcal{F}_2 \subset 2^{X_2}$ be $\sigma$-algebras.
Let $\mathcal{R} = \{A \times B: A \in \mathc... | 4 | [
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0.059814453125,
-0.0... | 36,998 | 36998 | |
Java Matrix Package
JAMA : A Java Matrix Package
Background
JAMA is a basic linear algebra package for Java. It provides user-level classes for constructing and manipulating real, dense matrices. It is meant to provide sufficient functionality for routine
problems, packaged in a way that is natural and understandab... | 4 | [
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0.0576171875,
0.1005859375,
-0... | 36,999 | 36999 |