content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Determining Linear Relations
Date: 04/22/98 at 10:48:17
From: Missy
Subject: Linear relations
The question states:
Consider the following tables
A B C D E
x y | x y | x y | x y | x y
-3 1.25 | -3 -3 | -3 -32 | -2 7 | -2 2... | 4 | [
-0.0703125,
-0.0130615234375,
0.01019287109375,
-0.041259765625,
0.01361083984375,
0.026123046875,
-0.0234375,
-0.008056640625,
-0.0201416015625,
0.023193359375,
0.047119140625,
-0.0159912109375,
0.00634765625,
0.072265625,
0.0024871826171875,
0.08349609375,
-0.08251953125,
-0.0522... | 40,200 | 40200 | |
On an eigenvalue inequality
up vote -1 down vote favorite
1
Let $\lambda_1 (\cdot)$ be the larger absolute value eigenvalue of a $2\times2$ matrix and $\lambda_2 (\cdot)$ the smaller absolute value eigenvalue of a $2\times2$ matrix, i.e. $|\lambda_1 (\cdot)|
\ge |\lambda_2 (\cdot)|$. Is it true that $$\Big||\lambda_1 ... | 5 | [
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-0.134765625,
-0.1162109375,
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0.00191497802734375,
-0.0225830078125,
-0.02783203125,
-0.01531982421875,
-0.08056640625,
-0.029541015625,
0.0224609375,
0.01953125,
0.0517578125,
0.000637054443359375,
0.09912109375,
0.08154296875,
0.056640625,
-0.0... | 40,201 | 40201 | |
How strong is "all sets are Lebesgue Measurable" in weaker contexts than ZF?
up vote 16 down vote favorite
1
Famously, Solovay showed that, if $\textrm{ZFC}$ plus $\textrm{IC}$ (the existence of an inaccessible cardinal) is consistent, then so is $\textrm{ZF}$ plus $\textrm{DC}$ (dependent choice) plus $\
textrm{LM}$ ... | 4 | [
0.01708984375,
-0.11865234375,
-0.040283203125,
0.001983642578125,
0.0966796875,
0.041015625,
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0.06591796875,
0.0002841949462890625,
-0.0003204345703125,
-0.045166015625,
-0.0177001953125,
0.07275390625,
0.0223388671875,
0.039306640625,
-0.05810546875,
0.0927734375,
... | 40,202 | 40202 | |
arctan ?
August 24th 2009, 12:24 AM
thereddevils
arctan ?
Find all the values of x which satisfy the equation
(a) $\tan^{-1}x+\tan^{-1}2x=\frac{1}{2}\pi$
(b) Show that the sum of the three angles whose tangent have the following values
$\frac{3}{8}$ , $\frac{1}{3}$ , $\frac{2}{19}$ is $\frac{1}{4}\... | 5 | [
-0.08544921875,
-0.009033203125,
0.10498046875,
0.07177734375,
0.0274658203125,
0.046875,
0.09033203125,
0.06494140625,
-0.00177001953125,
-0.0194091796875,
0.06494140625,
-0.07177734375,
0.0013427734375,
-0.00135040283203125,
-0.0220947265625,
0.001556396484375,
-0.01080322265625,
... | 40,203 | 40203 | |
Math Help
September 6th 2007, 07:32 PM #1
Member
Joined
Sep 2007
Posts
222
i got a question:
E = log N^2 / t
(thats log base 2)
How would i make t the subject,
what i did was:
> E*t = log N^2
> t = log N^2 / E
But i dont think its right?
why do you have "^" indicatin... | 4 | [
-0.0263671875,
0.0478515625,
0.054931640625,
0.0703125,
-0.021484375,
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0.04541015625,
0.05126953125,
0.07666015625,
-0.00009012222290039062,
0.021484375,
0.0203857421875,
-0.003692626953125,
0.0218505859375,
0.015869140625,
0.0390625,
-0.04833984375,
-0.0050048828125... | 40,204 | 40204 | |
Eight first class and six second class petty officers .?
December 2nd 2009, 03:18 AM #1
Member
Joined
Sep 2009
Posts
106
Eight first class and six second class petty officers .?
Eight first class and six second class petty officers are on the board of the 56 club. In how many ways can the members elect, ... | 4 | [
0.042724609375,
-0.05224609375,
0.0458984375,
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0.059814453125,
0.0172119140625,
-0.0079345703125,
-0.0169677734375,
0.0106201171875,
0.0194091796875,
0.00994873046875,
0.004791259765625,
-0.0164794921875,
-0.0361328125,
-0.0238037109375,
-0.0234375,
-0.... | 40,205 | 40205 | |
Spaces with a quasi triangle inequality
up vote 9 down vote favorite
3
How do you call a space with a function which is symmetric, non negative, positive definite and which satisfies a quasi-triangle inequality:
$d(x,z) \leq C( d(x,y)+d(y,z) )$
for all $x,y,z$ and some $C > 1$?
That is, it satisfies all the axioms ... | 4 | [
-0.08447265625,
-0.05419921875,
-0.0011138916015625,
-0.0751953125,
-0.07958984375,
0.017333984375,
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-0.01324462890625,
-0.00159454345703125,
0.029296875,
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0.01348876953125,
0.03271484375,
0.004425048828125,
0.0673828125,
-0.03076171875,
0.07275390625... | 40,206 | 40206 | |
logarithmic differentiation
November 20th 2008, 02:14 PM #1
Junior Member
Joined
Sep 2008
Posts
33
Find the derivative of
y=(1+cosx)^(2x)
by taking the ln of both sides then using implicit differentiation.
can someone show me the steps for this?
Hello, thecount!
Find the derivativ... | 5 | [
0.0181884765625,
-0.06005859375,
0.02392578125,
0.0164794921875,
0.044189453125,
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0.035400390625,
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0.061767578125,
0.1259765625,
0.0252685546875,
-0.033203125,
0.03271484375,
0.0390625,
-0.0010986328125,
-0.083984375,
0.0027618408203... | 40,207 | 40207 | |
Interesting Number Sequence Pattern
Date: 11/01/2004 at 11:28:14
From: Kamsin
Subject: Number series
The sequence of digits 1,2,3,4,0,9,6,9,4,8,7,... is constructed in the
following way: every digit starting from the fifth is the last digit
of the sum of the previous four digits.
a) Do the digits 2,0,0,4 appear in t... | 4 | [
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0.017822265625,
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0.0274658203125,
0.031494140625,
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0.08642578125,
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0.048828125,
-0.10986328125,
-0.041748046875,
-0.04248046875,
0.0250244... | 40,208 | 40208 | |
Boolean Algebra Problem
October 12th 2010, 08:05 AM
StaryNight
Boolean Algebra Problem
I've just started learning boolean algebra at university and am stuck by the following problem:
Prove a.b + a'.c = (a+c).(a'+b) // Corrected from previous typo
Could somebody please give me a push in the right directi... | 4 | [
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0.031494140625,
0.0341796875,
-0.060791015625,
0.06689453125,
-0.10595703125,
0.003936... | 40,209 | 40209 | |
Integral Question
September 16th 2009, 10:29 AM #1
Junior Member
Joined
Sep 2009
Posts
27
Integral Question
I asked this in an earlier question, but it was overlooked.
2) xdx/x^4 + x^2 + 1
I set u = x^2
du = 2x
= 1/2 Integral of du/u^2+u+1
And I STILL can't solve it!
I want to... | 5 | [
0.00008487701416015625,
0.024169921875,
0.080078125,
0.03759765625,
0.06689453125,
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0.0091552734375,
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-0.0230712890625,
-0.... | 40,210 | 40210 | |
Executive Masters in International Logistics (PowerPoint)
Consolidation
John H. Vande Vate
Spring, 2007
1
1
Agenda
• Combining LTL into TL shipments
– Motivation
– Models
– Issues
• Multi-Stop TL shipments
–... | 5 | [
-0.038330078125,
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0.0274658203125,
0.00946044921875,
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0.0703125,
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0.033935546875,
0.01373291015625,
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0.0174560546875,
... | 40,211 | 40211 | |
linear dependence
December 5th 2009, 06:18 AM #1
Newbie
Joined
Nov 2009
Posts
11
linear dependence
Find values of t for which the set of vectors
2 2t+6
-t 4t
is linearly dependent.
Please help me. I really don't know how to answer this one. Thanks!
they are linearly dependent ,is e... | 4 | [
-0.010498046875,
-0.026611328125,
-0.044677734375,
-0.04248046875,
0.0111083984375,
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0.024169921875,
0.02001953125,
0.02587890625,
0.03857421875,
0.032470703125,
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0.033203125,
-0.023193359375,
0.061279296875,
-0.06396484375,
-... | 40,212 | 40212 | |
Australia
TECHNICAL NOTE DATA QUALITY
INTRODUCTION
1 Since the estimates in this publication are based on information obtained from occupants of a sample of dwellings, they are subject to sampling variability. That is, they may differ from those
estimates that would have been produced if all dwellings had been inclu... | 5 | [
0.0634765625,
-0.00653076171875,
0.055419921875,
0.0615234375,
0.023681640625,
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0.0615234375,
-0.035400390625,
0.04345703125,
0.059326171875,
-0.07470703125,
0.06689453125,
-0.01202392578125,
0.03564453125,
-0.050048828125,
0.01611328125,
-0.05493164... | 40,213 | 40213 | |
Frame of reference question. Polar co-ordinates
March 23rd 2013, 02:13 AM #1
Member
Joined
Sep 2010
Posts
151
Thanks
3
Frame of reference question. Polar co-ordinates
A lighthouse keeper spots a ship sailing away from the shore. She marks the bearing from North to the ship as $\theta$=24 degrees and ... | 4 | [
0.038330078125,
0.0233154296875,
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0.028564453125,
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0.056396484375,
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0.022216796875,
0.07861328125,
0.0198974609375,
-0.00390625,
0.040283203125,
0.01068115234375,
0.00046539306640625,
-0.066894531... | 40,214 | 40214 | |
Math Help
February 19th 2006, 11:14 AM #1
Junior Member
Joined
Oct 2005
Posts
37
well, I've got some problems that I can't solve, I'm doing the work all the day but I just can't solve those... I would appreciate your help
by the way I need it for wednesday so it's pretty urgent...
formula: ax^2+... | 4 | [
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0.003509521484375,
-0.02197265625,
... | 40,215 | 40215 | |
Cardinals - Exponents
August 24th 2009, 09:15 AM #1
Member
Joined
Jul 2009
Posts
168
Cardinals - Exponents
I have a problem with cardinals:
k,j,l are cardinals. 0<k, k=< l
So this, I believe, should be the way to solution:
I need to prove that j^k<=j^l
so, let |a|=j, |b|=k, |c|=l
... | 4 | [
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0.0625,
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0.01904296875,
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0.044921875,
-0.... | 40,216 | 40216 | |
[SOLVED] Calculating limit of a sequence
March 16th 2009, 10:47 AM #1
[SOLVED] Calculating limit of a sequence
Can someone help me with a good strategy for finding the limit of a sequence? I am just not understanding the best way to solve these. What I have been trying to do to first take the limit. If i
got ... | 4 | [
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0.004150390625,
0.0223388671875,
0.0390625,
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0.054443359375,
-0.00970458984375,
-0.0380859375,
-0.03857421875,
-0.006... | 40,217 | 40217 | |
On the relation between the set of extreme points of the unit ball of $M(X)$ and $M(X)^{**}$
up vote 1 down vote favorite
Suppose that $X$ is a locally compact topological space. Let $M(X)$ denote the Banach space of regular Borel measures on $X$. It is known that the bidual of $C_0(X)$ is a commutative $C^*-$algebra.... | 5 | [
0.004058837890625,
0.002960205078125,
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0.0869140625,
-0.09033203125,
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0.0693359375,
-0.00193023681640625,
0.0020751953125,
0.01470947265625,
0.03857421875,
-0.0... | 40,218 | 40218 | |
Centralizers and Cartan involutions
up vote 1 down vote favorite
1
This should be an easy question about centralizers in reductive lie groups, but I wonder if it is already available from the literature.
Consider $G$ a connected non-compact semi-simple Lie group, with a Cartan involution $\sigma$, and $H$ a reductive... | 5 | [
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-0.00180816650390625,
0.019287109375,
-0.0322265625,
0.04321289... | 40,219 | 40219 | |
CH and wellfounded models of ZFC containing all reals
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is it known whether there is a wellfounded model of ZFC, containing all reals, in which CH fails? In which it obtains?... | 5 | [
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0.0283203125,
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... | 40,220 | 40220 | |
Calculating the Financial Median in MySQL
I believe I found a new method to calculate the median in MySQL. I would not be surprised if this method has been figured out by somebody else already. However, I can't seem to find any resources on
the internet describing this method, so for now I flatter myself by assuming th... | 4 | [
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0.0203857421875,
0.10986328125,
0.0027618408203125,
-0.009521484375,
0.008056640625,
-0.00145721435546875,
0.1220703125,
-0.1015625,
-0.1015625,
0.0196533203125,
0.005096435546... | 40,221 | 40221 | |
Compound interest
July 4th 2012, 05:09 AM
daigo
Compound interest
Quote:
A deposit of $25 is made at the beginning of the 1st month, and successive monthly deposits after that is $25 more than the previous month (2nd month is a $50 deposit, 3rd month is a $75, etc.).
At the beginning of the next year (a... | 5 | [
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0.0400390625,
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0.1142578125,
-0.1259765625,
0.0644... | 40,222 | 40222 | |
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Topic: Derivation of the Sum of a Series
Replies: 4 Last ... | 4 | [
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0.0208740234375,
-0.0196533203125,
... | 40,223 | 40223 | |
Excel An Introduction to Random Variables - learn MS Excel 2010
An Introduction to Random Variables
■ What is a random variable?
■ What is a discrete random variable?
■ What are the mean, variance, and standard deviation of a random variable?
■ What is a continuous random variable?
■ What is a probability density ... | 4 | [
0.0361328125,
0.0223388671875,
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0.031982421875,
-0.07666015625,
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0.0074462890625,
-0.007476806640625,
0.07470703125,
-0.007476806640625,
0.017333984375,
0.01275634765625,
0.1083984375,
-0.024658203125,
-0.00665283203125,
-0.051513671875,
0.064453125... | 40,224 | 40224 | |
on connectness and normality
up vote 0 down vote favorite
Hi,
the situation is the following: I have a projective scheme $\tilde{P}\rightarrow S=Spec(A)$ with $A$ excellent and $I$-adically complete for some ideal of $A$. A group $Y$ acting on $\tilde{P}$
freely in Zariski topology and $P$ is the quotient by $Y$ and ... | 4 | [
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0.06982421875,
-0.0213623046875,
-0.0220947265625,
0.018310546875,
-0.0... | 40,225 | 40225 | |
Help with Derivatives
February 20th 2009, 06:55 PM
roksteady
Help with Derivatives
I need some help solving these derivative problems:
1. F(x)= 3rd root of(x)-[1/3rd root of(x)]
For this one I got: 1/3 x - 3rd root of(9)
2. (s^2+s+1)^4 * (s-2)^7
I tried doing this one but it got out of hand and... | 5 | [
-0.03955078125,
-0.03173828125,
-0.00335693359375,
0.0166015625,
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0.0206298828125,
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0.01470947265625,
0.022216796875,
-0.02099609375,
0.01721191406... | 40,226 | 40226 | |
Prove Twin Primes Greater Than 3 Divisible by 12
Date: 10/08/2002 at 19:35:53
From: Crystal
Subject: Prove twin primes>3 are divisible by 12
Prove that if p and q are twin primes, each greater than 3, then p+q
is divisible by 12.
I have looked in several books, but most of them use mod and we have
not covered this t... | 4 | [
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-0.0751953125,
-0.055908203125,
0.0267... | 40,227 | 40227 | |
Logarithms
April 16th 2009, 11:47 AM #1
Junior Member
Joined
Jan 2009
Posts
48
I am stuck on explaining how to use the definition to find the derivative of lnyx in the following situation. I have to define the area under a curve
y=1/x in the terms of the natural logarithm function. wThe area under the... | 5 | [
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0.0028533935546875,
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0.02880859375,
0.07177734375,
0.0888671875,
-0.11865234375,
-0.0225830078... | 40,228 | 40228 | |
Injective proof about sizes of conjugacy classes in S_n
up vote 15 down vote favorite
5
It's not hard to count the number of permutations in a given conjugacy class of S[n]. In particular, the number of permutations in S[n] whose cycle decomposition has c[i] i-cycles is n!/(Π[i=1]^n c
[i]!i^c[i]). It's also not too ha... | 4 | [
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0.05615234375,
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0.0286865234375,
... | 40,229 | 40229 | |
[SOLVED] nth root in a simple calculator
May 16th 2010, 05:02 AM #1
Newbie
Joined
May 2010
Posts
2
I came across this trick to find n th root of any number on a calculator that does not have nth root function or logs !! problem is I can't figure out why it works ...
To find : nth root of x.
take... | 5 | [
-0.041259765625,
-0.0262451171875,
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0.0166015625,
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0.09765625,
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0.0274658203125,
-0.035400390625,
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-0.09619140625,
0.03759... | 40,230 | 40230 | |
IMO 2009 and proof systems
July 17, 2009 by Qiaochu Yuan
The problems from IMO 2009 are now available. I haven’t had much time to work on them, though.
There are two classical geometry problems, which I already know I won’t attempt. While I am well aware that classical geometry often requires a great deal of ingenui... | 4 | [
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0.03564453125,
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0.08642578125,
-0.0098876953125,
-0.0213623046875,
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0.067... | 40,231 | 40231 | |
Criteria for boundedness of power series
up vote 20 down vote favorite
15
Consider a power series $\sum_{n=0}^{\infty} a_n x^n$ that is convergent for all real x, thus defining a function $f: \mathbb{R} \to \mathbb{R}$. Can one give necessary and sufficient criteria the
sequence of the coefficients $(a_n)$ has to meet... | 5 | [
-0.09326171875,
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0.01318359375,
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0.0439453125,
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... | 40,232 | 40232 | |
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Topic: Simple algebraic problem - but my young student re... | 4 | [
-0.027587890625,
0.0693359375,
0.041015625,
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0.1005859375,
-0.042236328125,
0.04833984375,
-0.0301513671875,
0.0380859375,
-0... | 40,233 | 40233 | |
Kernel of a group action and Sa
October 19th 2011, 03:48 AM #1
Kernel of a group action and Sa
Dummit and Foote Section 1.7 Exercise 5 reads as follows:
Prove that the kernel of an action of the group G on a set A is the same as the kernel of the corresponding permutation representation G $\longrightarrow$$S... | 5 | [
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-0.0869140625,
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0.0341796875,
-0.00124359130859375,
0.087402... | 40,234 | 40234 | |
TempLS - what's been happening, and where it's going
The development of the least squares calculation of a regional or global temperature is now spread over a series of posts, so I'd like to gather together what has been done, and where it might be
going. The list of posts is here:
Least squares
The first post... | 4 | [
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... | 40,235 | 40235 | |
Variance of exponential random variable
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
For a random variable $\xi$, what bounds can be achieved for Var $e^{\xi}$ in terms of E$\xi$ and Var $\xi$?
Unfortunately, this ... | 4 | [
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0.052734375,
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0.0186767578125,
-0.07568... | 40,236 | 40236 | |
Is it possible to maniuplate this infinite sum (series)?
March 18th 2013, 08:44 PM #1
Junior Member
Joined
May 2010
Posts
63
Is it possible to maniuplate this infinite sum (series)?
Hey all,
I have $\sum_{n=0}^{ \infty } a_{n} k^{-n}$ for k=1,2,3... where $a_{n}$ is a term of some infinite sequence ... | 4 | [
-0.046875,
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0.0260009765625,
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0.02099609375,
-0.01458740234375,
-0.006378173828... | 40,237 | 40237 | |
Sections of an etale space
up vote 2 down vote favorite
2
In R.O.Wells book "Differential Analysis on Complex Manifolds" p. 44 proof of Theorem 2.2 part b) the author claims that any two sections of an etale space which agree at a point agree in some
neighborhood of that point (etale space is a (possibly non-Hausdorff... | 5 | [
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0.03564453125,
0.036376953125,
-0.0218505859375,
-0.... | 40,238 | 40238 | |
Exponential Map
Robert P. Munafo, 2010 Dec 5.
Coordinates can be transformed between polar and orthogonal in a mathematically natural way by using the complex exponential and logarithm functions.
An exponential coordinate transformaion can be applied to a Mandelbrot or Julia view to give additional insight into its ... | 4 | [
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-0.068359375,
-0.1044921875,
-0.022583007... | 40,239 | 40239 | |
Proving if it's true (Equality)
December 4th 2010, 08:07 PM #1
Proving if it's true (Equality)
I'm no sure how to prove this equality true.
(Oh and I used an image instead of latex, because I don't know how, someone also tell me how to make to the power and cos?)
It doesn't. You need to use the ident... | 4 | [
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0.0... | 40,240 | 40240 | |
measure theory question
May 15th 2008, 08:48 PM #1
Member
Joined
Apr 2008
From
Seoul, South Korea
Posts
128
measure theory question
prove that an arbitrary intersection of σ-algebras is a σ-algebra, i.e. let {A_α} where α is in I (indexing set) be a collection of σ-algebras on a given set Ω. Prove th... | 4 | [
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0.01104736328125,
0.012451171875,
0.0092773437... | 40,241 | 40241 | |
Proofs where V is a finite-dimensional vector space
September 30th 2010, 10:09 AM
Runty
Proofs where V is a finite-dimensional vector space
These are probably easier than I think they are.
Suppose $V$ and $W$ are vector spaces over a field $F$.
Now suppose $W_1,...,W_k$ are subspaces of $V$ and that $V... | 5 | [
-0.00640869140625,
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0.00179290771484375,
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0.042724609375,
0.01611328125,
... | 40,242 | 40242 | |
Rearranging an equation.
February 19th 2010, 01:47 PM
MathBlaster47
Rearranging an equation.
A question I am working on asks me to find the center and radius of a circle with the equation: $x^2+y^2-10x+4y+13=0$.
The thing is, while I am pretty sure I know what to do to get my answers I'm having some trouble ... | 4 | [
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0.040283203125,
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-0.002899169921875,
0.0... | 40,243 | 40243 | |
Chemistry mass problems
Your Open QuestionShow me another »
Chemistry problems for mass relationships?
Hello, I have a lot of questions that need to be done for homework, but so far, there are a couple I can't do, and I need help please.
How many grams of chlorine could be obtained by heating 70 g of manganese dioxide... | 4 | [
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0.03515625,
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-... | 40,244 | 40244 | |
time of concentration
Time of Concentration
What is the maximum flow that will flow off a 100 hectare construction site in a 20 year storm?
The answer can be found with Q = CiA, but we need to know the time of concentration to de... | 5 | [
0.032470703125,
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0.0576171875,
-0.041748046875,
-0.035... | 40,245 | 40245 | |
Vectors
August 23rd 2009, 12:16 PM
skeske1234
Vectors
If a = 3x+2y and b=5x-4y, find x and y in terms of a and b.
Note: bolded=vectors (arrows on top)
So this is my attempt, but leads me to no enlightenment.. Please demonstrate to me the method to proceed to the correct answer.
x = (a/3) - (2y/3)
... | 5 | [
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-0.05908203125,
0.0119... | 40,246 | 40246 | |
Please help with partial derivative.
October 10th 2010, 01:34 PM #1
Junior Member
Joined
Nov 2009
Posts
58
Please help with partial derivative.
Show if v is harmonic ie. $\; abla^2v=0 \;$ , then $abla^2u=0 \hbox { where } u(x,y)=v(x^2-y^2,2xy)$
$abla^2u=0 \;\Rightarrow\; u_{xx}+u_{yy} = 0$
From... | 5 | [
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"Synthetic" proof of geodesic flow equation?
up vote 1 down vote favorite
2
First, let me explain what I mean by "synthetic" in the title, which is a proof that reasons purely axiomatically and does not explicitly invoke local coordinate charts (either via concrete
expansions or Penrose-style abstract tensor notation)... | 4 | [
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0.... | 40,248 | 40248 | |
Sheaves of $\mathbb Z$-modules = sheaves of abelian groups
up vote 6 down vote favorite
5
Hi.
In his Algebraic Geometry, Hartshorne proves that for any ringed spaces $(X,\mathcal O_X)$, category $Mod(X)$ of sheaves of $\mathcal O_X$-modules has enough injectives. If we tako $\mathcal O_X$ to
be constant sheaf of ring... | 4 | [
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-0.0186767578125,
0.03662109375,
-0.007049560... | 40,249 | 40249 | |
Diophantine equation
Hi, I've to solve the following diophantine equation (in positive integers): $3^x-5^y=z^2$. Thanks for any help.
Last edited by Also sprach Zarathustra; July 6th 2010 at 10:58 PM.
The solution is $(2,1,2)$ Take modulo $4$ we have $(-1)^x - 1 \equiv z^2 \bmod{4}$ $x = 2t$ otherwise if $x$ is odd w... | 5 | [
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0.0284423828125,
-0.002899169921875,
-0.... | 40,250 | 40250 | |
direct integration
November 13th 2012, 02:35 PM #1
Junior Member
Joined
Dec 2011
From
Luanda
Posts
58
direct integration
Hello MHF, please help me with this problem
$\int tan(x/2).sec^2(x/2)+sec^2(x/2)$
$t=(x/2)$
$\int tan(t). sec^2(t)dt+tan(t) = -ln[cos(t)]+tan(t)+C$
But isnt corre... | 5 | [
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-0.005... | 40,251 | 40251 | |
MBAOver30 GMAT Quant Practice #1
May 29, 2013
In the past, several people have asked me to publish advice and help on the dreaded GMAT exam. When I was applying, I had zero time to offer this kind of help.
Now, I am able to provide some occasional practice questions and solutions based on having slightly more time ... | 4 | [
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-0.0245361328125,
... | 40,252 | 40252 | |
Finding the area under a graph using Riemann Sum question
November 7th 2009, 08:06 PM #1
Finding the area under a graph using Riemann Sum question
I would appreciate any help I can get with this problem! My prof usually gives us a few practice problems we should know. One of them this week was finding the area un... | 5 | [
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0.02197265625,
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0.03759765625,
0.0673828125,
-... | 40,253 | 40253 | |
solve by elimination
January 18th 2009, 08:55 PM #1
solve by elimination
5x-y=9
x-1.5y=-3
i dont even kno what it means by elimination. i know how to solve by substitution, but not elimination....
Substitution
so i take the first problem, turn it into y=5x-9 and then just plug that into the first e... | 4 | [
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-0.08984375,
... | 40,254 | 40254 | |
composition of covering map and bundle projection
up vote 3 down vote favorite
1
Hello, can somebody help with the following question that I have thought over for quite some time, to no avail?
Suppose f: X--->Y is a universal cover and g: Y--->Z a fiber bundle, where X, Y and Z are manifolds. Is the composition gof: ... | 5 | [
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-0.0179443359375,
-0.0463... | 40,255 | 40255 | |
Recursive Algorithm
Recursive Definition
Recursive... | 5 | [
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-0.02709960937... | 40,256 | 40256 | |
Math Help
October 8th 2008, 05:31 PM #1
Junior Member
Joined
Sep 2008
Posts
58
Wronskian
I am stuck on this question, I would appreciate any help.
If y1 and y2 are linearly independent solutions of
$ty^{''} +2y^{'} +te^{4t}y =0$
And if W(y1,y2)(1) = 2, find W(y1,y2)(3)
Thanks for an... | 5 | [
-0.0341796875,
0.0084228515625,
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0.02294921875,
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0.07861328125,
-0.11279296875,... | 40,257 | 40257 | |
Two Ways to Differentiate
Date: 6/30/96 at 4:16:1
From: Park Seung Ryul
Subject: Two Ways to Differentiate
I want to know following question:
If y=x^2, then y'=2x.
But, if y = x+x+...+x (x*x)
then y'= 1+1+...+1 (1*x)
= x
Why?
Date: 6/30/96 at 10:56:56
From: Doctor Pete
Subject: Re: math
The problem... | 4 | [
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0.03344... | 40,258 | 40258 | |
Does the manifold of the three dimensional group of rotations SO(3) cause a separation of space in the group of rigid motions SE(3)?
up vote 1 down vote favorite
The group of three dimensional rotations $SO(3)$ is a subgroup of the Special Euclidean Group $SE(3) = \mathbb{R}^3 \rtimes SO(3)$. The manifold of $SO(3)$ i... | 5 | [
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0.0517578125,
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gl(3) commutation relations question
September 8th 2011, 06:18 AM #1
Member
Joined
Apr 2008
Posts
204
gl(3) commutation relations question
consider the polynomial algebra $C[x_1, x_2, x_3]$ with $x_1, x_2, x_3$ 3 independent real variables
show that the differential operators
$a_{ij} = x_{i}\frac... | 5 | [
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... | 40,260 | 40260 | |
Need help! Marginal renevue problem
May 3rd 2008, 04:46 PM
graceglover1
Need help! Marginal renevue problem
I need help solving this problem......anyone help!(Rofl)
Marginal revenue. A defense attorney charges her client $4000 plus $120 per hour. The formula R= 120n + 4000 gives her revenue in dollars for n... | 4 | [
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-0.03173828125,
0.08251953125,
0.061767578125,
-0.00305... | 40,261 | 40261 | |
Crystalline realizations of Artin motives
up vote 7 down vote favorite
5
What are the crystalline realizations of Artin motives?
In a paper by Kisin and Wortmann, "A note on Artin motives" (google it and you'll find it immediately), they define a suitable category of motives incorporating crystalline realization in a... | 4 | [
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-... | 40,262 | 40262 | |
Convexity of Unit ball
September 8th 2007, 03:03 PM #1
Member
Joined
Aug 2007
Posts
239
Convexity of Unit ball
Am I right in saying that the unit ball is convex if for any 2 points in the unit ball, the straight line segment between them is also in the unit ball?
The book uses Cauchy-Schwarz to prov... | 4 | [
-0.007110595703125,
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-0.... | 40,263 | 40263 | |
Find the intercepts of y=x^4-10x^2-96
July 9th 2012, 07:59 AM
kmerr98277
Find the intercepts of y=x^4-10x^2-96
Find the intercepts of y=x^4-10x^2-96
I can't seem to find them. I set y to zero to find x and set x to zero to find y. Thanks.
July 9th 2012, 08:04 AM
richard1234
Re: Find the intercepts of y=x^... | 4 | [
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-0.0... | 40,264 | 40264 | |
Local extremes of a trig/ln function
October 13th 2012, 10:20 AM #1
Newbie
Joined
Oct 2012
From
United States
Posts
12
Local extremes of a trig/ln function
I am having trouble finding the local extremes for a particular function.
f(xy)=e^(2x)cosy
I have so far:
f'(x)= 2e^(2x)cosy
f'... | 5 | [
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-0.107910156... | 40,265 | 40265 | |
Equable shapes/Formulae
February 25th 2008, 07:31 AM #1
Equable shapes/Formulae
Ok I have this Maths courseowrk that has to be in tomorow and i've only done the simplest parts and now i need help coz my teacher will kill me if i dont kill myself first!
Anyway, so, i need to know the formula for the area/volu... | 4 | [
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0.0164794921875,
0.0537109375,
0.033935546875,
0.01312255859375,
-0.0346679687... | 40,266 | 40266 | |
Math Forum Discussions
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Topic: HELP - SQRT(3)
Replies: 16 Last Post: Dec 1, 1997 ... | 5 | [
-0.06884765625,
-0.0108642578125,
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0.115234375,
0.023681640625,
-0.01611328125,
-0.047607421875,
0.032714... | 40,267 | 40267 | |
Maximum Error Problem
August 5th 2010, 05:28 PM #1
Super Member
Joined
Dec 2008
Posts
509
Maximum Error Problem
Hi
I am having trouble getting the correct answer to the following question:
1) The sides of a right angle triangle enclosing the right angle are measured as 6.0m and 8.0m respectively... | 5 | [
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-0.0480957... | 40,268 | 40268 | |
Irreducible polynomials
April 5th 2006, 08:51 PM #1
Junior Member
Joined
Feb 2006
From
Canada
Posts
45
Irreducible polynomials
Hi, does anyone know how to do the following questions?
In each of the following cases, find all roots of f(x) in F and factor f(x) as the product of irreducible polynom... | 5 | [
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0.038330078125,
-0.116210... | 40,269 | 40269 | |
Easy peasy proof help
October 3rd 2009, 01:56 PM #1
Easy peasy proof help
Hai,
This is the part im worst at, proving stuff
I need to prove that every number $\ge16$
can be written as $3k + 5m$
The statement holds true for 16,17,18 and 19
Where do you start?
I suppose k and m must be n... | 5 | [
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0.01202392578125,
0.01989746093... | 40,270 | 40270 | |
Matrix Transformations Help
July 7th 2008, 02:52 AM
thelostchild
Matrix Transformations Help
Sorry I'm new to this topic and attempting to self teach can anyone give me an idiots guide to this question
Quote:
The Matrix $\begin{bmatrix}0 & 1 & 0\\ 0 & 0 & 1\\ 1 & 0 & 0\end{bmatrix}$ represents a rotat... | 5 | [
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0.0517578125,
-0.1298828125,
-0.010437011718... | 40,271 | 40271 | |
A variational problem involving a negative fractional Soboblev norm.
up vote 1 down vote favorite
2
I've run into the problem of trying to evaluate the following:
$\max_{ \xi} \iint_{\partial B \times \partial B} \xi(x) \Phi(|x-y|) \xi(y) dS(x)dS(y)$
subject to $\int_{\partial B} \xi(y)dS(y) = 0$ and $\int_{\partial... | 5 | [
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0.07080078125,
-0.08837890625,... | 40,272 | 40272 | |
CW structure on spaces obtained by attaching cells wildly
up vote 3 down vote favorite
2
Is there necessarily a CW structure on a space build out of cells without demanding them to be attached in "right" order?
More precisely, let $X$ be a topological space such that the map $\emptyset\to X$ factorizes as a transfini... | 4 | [
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0.023071289... | 40,273 | 40273 | |
Coumpound Interest Problem
April 11th 2011, 04:32 PM
BuhRock
Coumpound Interest Problem
I need help with a word problem. I thought I new how to do this, but apparently not.
"Following the birth of his child, Juan deposits $10,000 in a trust fund where interest is 6.4% compounded semiannually. "
A) Find... | 4 | [
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0.04541015625,
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0.048583984375,
-0.03466796875,
0.0286865234375,
-0.0751953125,
0... | 40,274 | 40274 | |
Math Help
Last edited by Jon; March 12th 2006 at 04:24 PM. Reason: Delete
Jon Doc is first: He needs to be selected AND he would be the first. The probability that he is selected is $\frac{_5C_3\cdot _1C_1}{_6C_4}=\frac{2}{3}$ The probability that he is first is $1/4$
thus, the answer is $\frac{1}{4}\cdot \frac{2}{3}... | 4 | [
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0.0078125,
-0.046630859375... | 40,275 | 40275 | |
Dimension of infinite product of vector spaces
up vote 11 down vote favorite
5
This question is motivated by the question link text, which compares the infinite direct sum and the infinite direct product of a ring.
It is well-known that an infinite dimensional vector space is never isomorphic to its dual. More precis... | 5 | [
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0.068359375,
-0.0... | 40,276 | 40276 | |
Linear Programming - Elimination Method help
November 8th 2011, 09:09 AM #1
Newbie
Joined
Nov 2011
Posts
1
Linear Programming - Elimination Method help
Hi: This may be slightly more advanced than basic algebra but I think it fits.
I have the following equation:
Maximize Z = 60x + 90y
Subje... | 4 | [
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-0... | 40,277 | 40277 | |
Double cosets
November 27th 2008, 12:19 PM #1
Junior Member
Joined
Jul 2008
Posts
54
Double cosets
If G is a finite group and H, K are subgroups of G, then how many H\G/K double cosets are there?
this is a good question! the only formula for the number of double cosets of $H, K$ i know is in terms o... | 4 | [
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-0.11181640625,
-0.06494140625,
0.03173828125,
0.0400390625,
-0.0174560546875,
... | 40,278 | 40278 | |
Math Forum Discussions
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Math Forum » Discussions » Education » math-teach
Topic:... | 4 | [
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-0.025390... | 40,279 | 40279 | |
Inverse functions
The function f(x)= px+q such that f-1(6)=3 and f-1(-29)= -2. Find f-1(27). Thanks.
Could you please explain the steps to reach the answer thanks.
$\frac{1}{p}(6-q) = 3$...............(eq1) $\frac{1}{p}(-29-q) = -2$.............(eq2) Rearrange eq2 to make q the subject: Spoiler: $q = -29+2p$............ | 4 | [
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0.0234375,
-0.078125,
-0.0196533203125,
0.0281982... | 40,280 | 40280 | |
Measurement
June 3rd 2008, 04:20 PM #1
Newbie
Joined
Feb 2008
Posts
10
Measurement
ok everyone i have a big problem i dont get this question could somebody smart ( most likely everyone here), help me on it it would be nice if they can make a diagram for it in paint and show me
it so i know how to mak... | 4 | [
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0.017822265625,
-0.0654296875,
0.0634765625,
... | 40,281 | 40281 | |
Gaussian curvature
December 16th 2011, 02:00 PM #1
Member
Joined
Oct 2010
Posts
131
Gaussian curvature
Hello everybody,
when we consider some regular surface $S\subset \mathbb{R}^3$ with constant gaussian curvature.
Then my question is: Why and how the curvature does changes, when i multiply the... | 4 | [
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-0.06298828125,
-0.047607421875,
0.0339355... | 40,282 | 40282 | |
Can a certain sum converge to 0?
up vote 16 down vote favorite
3
Let $\{r_i\}_{i \in \aleph}$ be sequence of integers such that, for some $t \in \mathbb{N}$ and all $i \in \mathbb{N}$, we have $r_i = r_{i+t}$. My question:
Can $\displaystyle \sum_{i=1}^n \dfrac{r_i}{i}$ converge to $0$ if $n \rightarrow \infty$ for a... | 5 | [
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0.047119140625,
-0.041015625,
-0.052490234375,
0.004608154296875,
0.01354980468... | 40,283 | 40283 | |
Riemann-Roch for Zero Cycles on a Surface
up vote 2 down vote favorite
1
As far as I understand, it is not difficult to formulate a the theorem of Riemann-Roch for divisors on any variety. I have been given the impression, that one can still formulate such theorems for
cycles of arbitrary codimension. What I'd really ... | 4 | [
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0... | 40,284 | 40284 | |
Vector orthogonality, orthonormal basis and subspace
September 25th 2011, 09:47 AM
x3bnm
Vector orthogonality, orthonormal basis and subspace
If a vector $v$ is orthogonal to orthonormal basis of a vector space $W$ then why is that $v$ is orthogonal to every vector in $W$?
Is there any theory for this? Is t... | 5 | [
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0.04931640625,
... | 40,285 | 40285 | |
Prove every compact set is closed and bounded.
December 17th 2009, 07:26 PM
platinumpimp68plus1
Prove every compact set is closed and bounded.
Does anyone have an elegant/easy to remember proof of this? I can prove bounded easily, and I have notes on why its closed, but they're kind of messy and confusing!
Dece... | 5 | [
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0.00069... | 40,286 | 40286 | |
Isomorphism Proof
August 14th 2010, 11:33 PM #1
Member
Joined
Dec 2009
Posts
224
Isomorphism Proof
$(G, \circ)$ is a group. The operation $\star$ on $G$ is defined by $a \star b = b \circ a$ for all $a,b \in G$. Let $\phi$ be the map from G to itself such that $\phi(g)=g^{-1}$ where $g^{-1}$
is the i... | 4 | [
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Quick Question about Logarithms and Exponents
May 1st 2013, 10:44 PM #1
Junior Member
Joined
Mar 2013
From
New Zealand
Posts
35
Quick Question about Logarithms and Exponents
I have an assignment question looks like this
$2e^-^2^x) = 5$
I figured, first time around, that I could just apply n... | 4 | [
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-0.1025390625,
-0.00933837890625,
-0.11279... | 40,288 | 40288 | |
differentiate this... please
April 14th 2007, 09:06 AM #1
Newbie
Joined
Feb 2007
Posts
9
differentiate this... please
Hello please help me with the following question if you can…
X = 4 sin (2y + 6), find dy/dx in terms of x
Please help me, I am stuck in a rut with this … I have a brain drain an... | 5 | [
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0.... | 40,289 | 40289 | |
Find an expression for electric field
April 14th 2007, 04:23 PM #1
Member
Joined
Nov 2005
Posts
111
Find an expression for electric field
Hi ,please I need something to finish this problem:
The specific heat s of a material in [J/(kg deg C] is the amount of energy in joules required to raise the tem... | 4 | [
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0.072265625,
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-0.0224609375,
0.060791015625,
-0.096... | 40,290 | 40290 | |
Finding the probability of a random person
May 30th 2009, 10:05 PM #1
Newbie
Joined
Mar 2009
Posts
17
Finding the probability of a random person
Of a group of patients having injuries, 28% visit both a physical therapist and a chiropractor and 8% visit neither. Say that the probability of visiting a phys... | 4 | [
0.01611328125,
0.0301513671875,
0.0791015625,
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0.087890625,
-0.0673828125,
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0.0098876953125,
-0.1044921875... | 40,291 | 40291 | |
Water in a cone
Hi,
When I read this problem I saw a conical shaped paper cup, one-third full of water. When you turn it over all the water runs out so the height s zero. But this is probably not the answer you want.
The important expression is that the volume of a cone is given by
volume = ^1/[3] pi ^2
where r... | 4 | [
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0... | 40,292 | 40292 | |
Problem in Rick Miranda: finding genus of a Projective curve
up vote 17 down vote favorite
14
I asked the following question in stack exchange (http://math.stackexchange.com/questions/21164/problem-in-rick-miranda-finding-genus-of-a-projective-curve) a few days ago, but didnt get any
solution. Somebody please help me ... | 5 | [
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-0.034423828125,
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0.04345703125,
-0.10546875,
-0.01538... | 40,293 | 40293 | |
Analytic Geometry Q2
January 30th 2009, 03:22 AM #1
Analytic Geometry Q2
Question:
Show that $A(-2,1)$ , $B(5,-2)$ and $C(3,3)$ are vertices of an equilateral triangle.
Attempt:
Distance between points $A(-2,1)$ and $B(5,-2)$:
$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
$AB = \sqrt{(5-(-2))... | 4 | [
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0.057373046875,
0.01611328125,
-0.1093... | 40,294 | 40294 | |
bolzano weirshtrass question
January 7th 2009, 11:58 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
bolzano weirshtrass question
the question in this link:
http://img135.imageshack.us/img135/7662/60430495yx6.gif
i only know that these series are bounded
so i know that that there is at le... | 5 | [
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0.0390625,
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0.076171875,
-0.02392578125,
0.0415039... | 40,295 | 40295 | |
Expected determinant of a random NxN matrix.
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
What is the expected value of the determinant over the uniform distribution of all possible 1-0 NxN matrices? What does this expe... | 5 | [
0.0272216796875,
-0.030029296875,
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0.0031585693359375,
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0.0439453125,
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0.0810546875,
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-0.03857421875,
-0.08251953125,
-0.04052734375,
0.03369140625,
-0.... | 40,296 | 40296 | |
Can you separate the integral of product functions?
December 30th 2008, 12:40 PM #1
Newbie
Joined
Dec 2008
From
Long Island, NY
Posts
10
Can you separate the integral of product functions?
Hi everyone,
This may be a very simple 'No', but it's been going on 15 years since I've had any regular cal... | 5 | [
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0.07... | 40,297 | 40297 | |
Trigonometry identity proof
prove that (tan^2 theta)/(1 + tan^2 theta) + (cot^2 theta)/ (1 + cot^2 theta) = 1
plzz elaborate it , not getting it. i am new to this chapter
$\frac{\tan ^2 \theta}{1+\tan ^2 \theta} + \frac{\cot ^2 \theta}{1+\cos ^2 \theta}$ $\tan x = \frac{\sin x}{\cos x}$ $\cot x = \frac{\cos x}{\sin x... | 4 | [
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0.049072265625,
0... | 40,298 | 40298 | |
Regrouping and rearranging series
March 8th 2010, 09:20 PM
zxcv
Regrouping and rearranging series
Hi,
Can someone give me an example showing that a rearrangement of a divergent series that may diverge and converge? And also help me by explaining why the original series diverges and the
re-arranged one c... | 5 | [
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0... | 40,299 | 40299 |