content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Cryptography & Theory 1: Meaning of Secure
Cryptography & Theory is series of blog posts on things I learned in coursera
stanford online crypto class
. The class contained just right mixture of theory, math and programming and I enjoyed it a lot.
This first part explains what is meant by expression "good cipher". It... | 4 | [
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0.0888671875,
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0.031982421875,
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0.0615234375,
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0.023193359375,
-0.0203857421875,
-0.08642578125,
0.0007705688476562... | 35,700 | 35700 | |
Math Help
July 1st 2006, 05:50 PM #1
Newbie
Joined
Dec 2005
Posts
7
Help!
Hi guys, please help me with these two questions:
Find the speed in m/s of a point on a bicycle rim of diameter 88 cm, making 200 revolutions per minute.
and
Eight tins of paint are required for a surface of an area... | 4 | [
0.0220947265625,
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0.078125,
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0.0022430419921875,
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0.12890625,
0.015869140625,
0.0037078857421875,
0.042236328125,
-0.041748046875,
0.0454... | 35,701 | 35701 | |
Math Forum Discussions
Math Forum
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Discussions
Internet Newsletter
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Optimization. Convex nonlinear function. Exponenti... | 4 | [
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0.00665283203125,
0.00848388671875,
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0.02197265625,
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0.0220947265625,
0.0155029296875,
0.025634765625,
0.039794921875,
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0.05859375,
0.034912109375,
0.025390625,
0.0361328125,
0.0030364990234375,
-0.0334472... | 35,702 | 35702 | |
lnx Integral
If $t=\ln x\implies dt=\frac1x\,dx.$ It's just substitution. Can you handle it from there?
but then I get $\int\frac{u}{\sqrt{1+u}}~dt$ how do I integrate this?
Substitute $\varphi ^2 = 1 + u,$ $\int {\frac{u}<br /> {{\sqrt {1 + u} }}\,du} = 2\int {\left( {\varphi ^2 - 1} \right)\,d\varphi } .$
Krizalid... | 5 | [
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0.0233154296875,
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0.08447265625,
-0.0927734375,
-0.0086669921875,
-0.016357421875,
-0.005340576... | 35,703 | 35703 | |
Homework Help
Posted by Anonymous on Thursday, July 8, 2010 at 9:12pm.
1. For the following exercise, complete the following by using the data sets below that provides the ages of the first seven presidents:
a. Find the mean, median, and range for each of the two data sets.
First 7: The mean is 58.3
The median is 5... | 4 | [
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0.003753662109375,
-0.032958984375,
-0.01092529296... | 35,704 | 35704 | |
Colour Combinations on a Cube
Date: 02/08/2002 at 06:48:00
From: Daniel
Subject: Number of colour combinations on a cube
If each side of a cube is painted red or yellow or blue, how many
distinct colour patterns are possible? So far I haven't managed to
solve any part of this problem.
Date: 02/08/2002 at 07:27:26
... | 5 | [
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-0.004394... | 35,705 | 35705 | |
Differentiation and Implicit Differentiation
February 6th 2009, 01:23 AM
katieeej
Differentiation and Implicit Differentiation
implicit differentiation
1) y=x^2+yx
2) xy-y^3=1
3) 1/xy-y^2=2
differentiation
1) f(x)=<square root>(x^2-1)/ 1+<square root>(x^2+1)
please find
1) d/dx <sq... | 5 | [
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0.06298828125,
-0.0732421875,
... | 35,706 | 35706 | |
Intersection of 2 curves at right angles
February 18th 2010, 07:24 AM #1
Newbie
Joined
Feb 2010
Posts
2
Intersection of 2 curves at right angles
Hey guys, I have a question that I am stuck atm and need some help with.
"For what values of the nonzero constant k do the curves y=kx^2 and y=k(x-2)^2 int... | 4 | [
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... | 35,707 | 35707 | |
Calculus Word Problem Ladder
October 25th 2009, 02:00 PM #1
Junior Member
Joined
Oct 2009
Posts
32
Calculus Word Problem Ladder
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.5 ft/s, how fast is the angle between the ladder and the ... | 5 | [
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0.0693359375,
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0.04... | 35,708 | 35708 | |
Integral problem :(
October 18th 2010, 11:27 AM #1
Newbie
Joined
Oct 2010
Posts
10
Integral problem :(
Could someone solve this for me please?
I haven't got an idea how to solve this, therefore
please provide answer and show step-by-step would be really appreciated..
Thank you.
a) 2e^(7x... | 5 | [
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Drawing Regular N-gons (Compass and Straightedge)
Date: 11/17/97 at 04:16:45
From: Sione Smythe
Subject: Regular n-gons and compass & st. edge only
Dear Sir,
I can't remember where I read it, but I'm certain there was a
statement made that the only regular n-gons that can be drawn using
ONLY a straight edge and com... | 5 | [
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-0.059814... | 35,710 | 35710 | |
Parameter estimation for nonlinear models
Parameter estimation for
nonlinear models: Numerical
approaches to solving the inverse
problem
Lecture 1
01/08/2008
Sven Zenker
Schedule/Course overview (Part 1)
01/08/... | 4 | [
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0.02685546875,
-0.002716064453125,... | 35,711 | 35711 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
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Teacher Exchange
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: "Specific Complex Numbers"
Replies: 2 Last Post: M... | 5 | [
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0.051513671875,
0.076171875,
0.0625,
-0.05322265625,
0.0093994140625,
-0.00616455078125,... | 35,712 | 35712 | |
Euler's Line Theorem
Date: 04/08/2001 at 14:13:41
From: Mahta
Subject: Euler's line theorem
Can you please help me to prove Euler's line theorem with analytical
geometry - prove that the circumcenter, the orthocenter, and the
centroid of any triangle lie on the same line?
Date: 04/09/2001 at 08:32:11
From: Doctor ... | 4 | [
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-0... | 35,713 | 35713 | |
Stuck on a Laplace Transform Question
April 30th 2009, 06:46 PM #1
Newbie
Joined
Mar 2009
Posts
7
Stuck on a Laplace Transform Question
Here's what I'm working on:
$y'' + 6y' + 5y = t; y(0) = a, y'(0) = b$
So far, I've done this. Taking the Laplace transform of both sides of the equation gives ... | 4 | [
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-0.0625,
-0.00836181640625,
0.10546875,
-0.09228515625,
-0.004425048828125,... | 35,714 | 35714 | |
Polar Number Multiplication and Division
Date: 02/13/99 at 13:53:42
From: Matt Malensek
Subject: Polar Number Multiplication and Division
I understand that when two polar numbers are multiplied, the real parts
multiply and the angles add. I also understand that when two polar
numbers are divided, the real parts divi... | 4 | [
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... | 35,715 | 35715 | |
es
Pigeonhole Principle
From Math Images
Pigeonhole Principle
Field: Other
... | 5 | [
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Numerical solution of a first order ODE
May 1st 2010, 06:35 AM #1
Newbie
Joined
Apr 2010
Posts
1
Numerical solution of a first order ODE
Hello,
My question seems to be simple. I would like to numerically solve the following first order ODE to obtain v(x):
v'(x) = b.[v(x) - f(x)] , given boundar... | 4 | [
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... | 35,717 | 35717 | |
limits and compound interest
March 4th 2009, 08:51 AM #1
Junior Member
Joined
Dec 2008
Posts
57
Given the compund interest equation A= P(1+r/100n)^n. find the final amount if the intial deposit is $1500, the rate is 7% and the time period , n, approaches infinity
Here, all you need to do is evaluate ... | 5 | [
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0.10986328125,
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-0.04931640625,
-0.049804... | 35,718 | 35718 | |
Point Reflected in a Plane
Date: 7 Jun 1995 17:41:42 -0400
From: DAVID
Subject: Help fast
Hi!
I need to know how I can calculate the coordinates of a point p'. I have
given the point p and a plane E. The point p is supposed to be reflected
(don't know the real name) by E. How do I get p'?
E
E
... | 4 | [
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... | 35,719 | 35719 | |
Explaining
Numbers divisible by 3
Numerals whose sum of digits is divisible by 3 represent numbers divisible by 3:
This one is different, because 3 does not divide any power of 10 evenly. That means we will have to consider the effect of all the digits. Here we use this fact:
10^k - 1 = (10 - 1)*(10^(k-1... | 4 | [
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0.07421875,
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Mass transfer coefficient evaluation for lab scale fermenter using sodium sulphite oxidation method
Chemical and Process Engineering Research www.iiste.org
ISSN 2224-7467 (Paper) ISSN 2225-0913 (Online)
Vol 2, 201... | 4 | [
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0.010681152343... | 35,721 | 35721 | |
Find values with tangent to a curve
September 18th 2008, 12:09 AM #1
Newbie
Joined
Sep 2008
Posts
14
Find values with tangent to a curve
The question reads:
Find the values of m for which the line y = mx - 9 is a tangent to the curve x^2 = 4y.
All I need is the basic formula? I can't find one a... | 4 | [
0.033935546875,
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0.033203125,
0.03271484375,
0.01385498046875,
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0.0191650390625,
0.0439453125,
0.0303955078125,
0.158203125,
-0.01434326171875,
0.05... | 35,722 | 35722 | |
Percentage of Increase
Date: 7/23/96 at 8:57:37
From: Sue
Subject: Percentage of Increase
Dear Dr. Math,
My math question is about finding the percent of increase between two
numbers.
We added memory to our computer system. We had 96 MB of main memory
and now with our new addition, we have 256 MB of main memory. I... | 4 | [
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0.01141357421875,
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0.046875,
-0.045654296875,
0.0363769531... | 35,723 | 35723 | |
Math Help
November 22nd 2008, 02:36 PM #1
Junior Member
Joined
Oct 2008
Posts
44
Continuity
Let f, g be continous from R to R and suppose f(r)=g(r) for all rational numbers r. Is it true that f(x) = g(x) for all x in R.
R - real numbers
I need a proof of why this is true or if false a countere... | 4 | [
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0.056884765625,
-0.034423828125,
-0.0260009765625,
0.057861328125,
... | 35,724 | 35724 | |
Dividing with Powers
Date: 01/16/2003 at 21:17:20
From: John Doe
Subject: Dividing
7
I am having trouble with problems like this 6.0 x 10
----------
2
... | 4 | [
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0.049072265625,
-0.10400390625,
0.172851562... | 35,725 | 35725 | |
What is $TC(\Sigma^\infty \Omega X)$?
up vote 5 down vote favorite
3
I know that for $X$ a connected space, $THH(\Sigma^\infty \Omega X) = \Sigma^\infty \Lambda X$, the suspension spectrum of the free loop space of $X$. The computation can be carried out in spaces and
then transferred to spectra via $\Sigma^\infty$. W... | 4 | [
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0.026611328125,
0.0125732421875,
... | 35,726 | 35726 | |
Measuring how far from being cocompact a lattice is
up vote 6 down vote favorite
Let $G$ be a locally compact group and $\Gamma$ a lattice (=discrete subgroup of $G$ such that $G/\Gamma$ carries a probability measure $\mu$ that is invariant under the action of $G$ by
left-multiplication).
My vague question is: "How ... | 4 | [
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0.011474609375,
-... | 35,727 | 35727 | |
Factorizing polynomials of several variables (in a different perespective)
up vote -3 down vote favorite
1
I am looking for factorization of polynomials of several variables in the way outlined below.
Consider a second degree polynomial of two variables over the complex numbers.
"P(x,y) = Ax^2 + Bxy + Cy^2 + Dx + Ey... | 4 | [
-0.0703125,
-0.01104736328125,
-0.047119140625,
0.046630859375,
0.0279541015625,
0.041259765625,
-0.0235595703125,
-0.0908203125,
-0.05029296875,
-0.041748046875,
0.08544921875,
0.0230712890625,
0.01470947265625,
0.080078125,
0.06494140625,
0.054931640625,
-0.054931640625,
0.070800... | 35,728 | 35728 | |
Solving Differential Equations
Date: 5/8/96 at 20:59:31
From: Anonymous
Subject: Solving Differential Equations
I am trying to solve the following differential equation:
(2x^2 + 2y^2 - y)dx + (x^2y + y^3 +x)dy = 0
Please help!
Thanking you in advance,
Alnoor
Date: 11/14/96 at 12:26:33
From: Doctor Jimbo
Subject... | 5 | [
-0.126953125,
0.0262451171875,
0.0250244140625,
0.1123046875,
0.119140625,
0.0162353515625,
-0.061767578125,
0.0322265625,
-0.05419921875,
0.0023193359375,
0.0771484375,
0.0162353515625,
-0.031494140625,
0.0693359375,
0.0419921875,
-0.04248046875,
-0.057861328125,
-0.0067138671875,... | 35,729 | 35729 | |
[SOLVED] Number of solutions of arctan equation?
September 24th 2008, 07:45 AM
fardeen_gen
[SOLVED] Number of solutions of arctan equation?
Number of solutions of the equation arctan [1/(2x^2 + 1)] + arctan [1/(4x^2 + 1) = arctan 2/x^4 is
A)0
B)1
C)2
D)4
September 24th 2008, 09:24 AM
Soroban
... | 5 | [
0.003692626953125,
-0.0135498046875,
0.09228515625,
0.0517578125,
0.0152587890625,
0.07080078125,
-0.0091552734375,
0.0849609375,
0.010498046875,
-0.07470703125,
0.0233154296875,
-0.1318359375,
0.03955078125,
0.0247802734375,
-0.0703125,
0.01708984375,
0.002410888671875,
-0.0825195... | 35,730 | 35730 | |
another trig sub.
July 26th 2007, 06:19 PM #1
Junior Member
Joined
Jul 2007
Posts
72
another trig sub.
How would you do this
integral of tan^4(x)sec^4(x)dx
I know this breakups into integral of ((sec^2(x))^2 + integral of ((tan^2(x))^2
I am not so sure where to go from here.
Thanks.
... | 4 | [
0.045166015625,
0.01251220703125,
0.091796875,
0.060546875,
-0.044921875,
0.0274658203125,
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-0.04052734375,
-0.01324462890625,
0.0093994140625,
0.052734375,
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0.0006561279296875,
0.0703125,
0.0279541015625,
0.024169921875,
0.037841796875,
0.055175... | 35,731 | 35731 | |
When number theory and probabilities clash
February 24th 2010, 12:27 AM #1
When number theory and probabilities clash
Hey everybody,
I'm trying to prove the following :
Say you are given a set of $n$ random numbers $0 \leq X_i \leq 255$ with $n > 1$. Prove that $P \left ( \sum_{i = 1}^n X_i \equiv a \pm... | 5 | [
0.0035858154296875,
0.03076171875,
0.078125,
-0.0576171875,
0.03076171875,
-0.07568359375,
0.08203125,
-0.0291748046875,
0.018310546875,
-0.04248046875,
-0.13671875,
-0.0126953125,
0.09912109375,
-0.045654296875,
0.0279541015625,
0.032470703125,
-0.015869140625,
-0.00921630859375,
... | 35,732 | 35732 | |
Rewrite this identity as a quadratic equation in tan(x)
April 28th 2010, 06:08 AM #1
Newbie
Joined
Apr 2010
Posts
11
Rewrite this identity as a quadratic equation in tan(x)
"Show that the equation $sin^2x + 3 sin\ x\ cos\ x = 2$ can be written as a quadratic equation in $tan\ x$."
I can't see any wa... | 4 | [
-0.07177734375,
-0.00130462646484375,
0.003173828125,
0.0751953125,
-0.0289306640625,
0.10546875,
0.0277099609375,
-0.061767578125,
0.057373046875,
0.008544921875,
0.08251953125,
-0.041259765625,
0.0181884765625,
0.021728515625,
0.0986328125,
-0.025390625,
0.0625,
0.055419921875,
... | 35,733 | 35733 | |
Dividing polynomials
December 6th 2011, 04:30 AM #1
Newbie
Joined
Jan 2011
Posts
19
Dividing polynomials
I'm learning how to divide polynomials by expressions like a + 1 and I'm stuck on a particular question:
4x^4 - 3x^2 + x + 2 divided by 2x + 3
The answer must be expressed in the form (2x+3)... | 4 | [
-0.021728515625,
0.03271484375,
-0.0269775390625,
0.0791015625,
0.0244140625,
0.052978515625,
-0.012939453125,
-0.052978515625,
-0.021728515625,
-0.0341796875,
-0.010009765625,
-0.119140625,
0.0380859375,
0.052978515625,
0.01055908203125,
0.031494140625,
-0.0164794921875,
0.0277099... | 35,734 | 35734 | |
Why is complex projective space triangulable?
up vote 15 down vote favorite
9
In an exercise in his algebraic topology book, Munkres asserts that $\mathbf{C}P^n$ is triangulable (i.e., there is a simplicial complex $K$ and a homeomorphism $|K| \rightarrow \mathbf{C}P^n$). Can
anyone provide a reference or a proof?
at... | 4 | [
-0.0966796875,
0.01373291015625,
-0.01495361328125,
-0.0137939453125,
-0.0634765625,
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0.00909423828125,
-0.01336669921875,
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-0.05615234375,
0.006988525390625,
0.0162353515625,
-0.04541015625,
0.00325... | 35,735 | 35735 | |
Homology groups, homotopy equivalence and one point compactification
December 1st 2010, 08:34 AM #1
Member
Joined
Feb 2009
Posts
98
Homology groups, homotopy equivalence and one point compactification
Let $X= \textbf{R}^2 - \{ a,b \}$ and $Y = S^1 \times S^1 - \{c \}$.
Do the spaces X and Y have the... | 4 | [
-0.0159912109375,
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-0.0264892578125,
-0.015625,
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-0.01348876953125,
0.007080078125,
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-0.030029296875,
0.047119140625,
-0.034423828125,
-0.07568359375,
-0.04... | 35,736 | 35736 | |
Roots of Polynomial
May 20th 2010, 12:44 AM #1
Member
Joined
Jul 2009
Posts
132
Roots of Polynomial
Let x=a be a root fo the quartic polynomial P(x) = x^4 + Ax^3 + Bx^2 + Ax + 1 where (2+B)^2=/ 4A^2
Show that x=1/a is a root
Does not equal to is =/=
sorry.
So we have $P(a) = a^4 + Aa^... | 4 | [
-0.0263671875,
0.02734375,
-0.007110595703125,
0.06640625,
-0.07373046875,
-0.010498046875,
0.02734375,
-0.058837890625,
0.09765625,
0.0303955078125,
0.043701171875,
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0.04296875,
0.076171875,
-0.0732421875,
0.01458740234375,
-0.052001953125,
-0.045654296875,
-0.071... | 35,737 | 35737 | |
Square root of a complex number.
Associated Topics || Dr. Math Home || Search Dr. Math
Square root of a complex number.
... | 4 | [
-0.004119873046875,
0.0859375,
0.0281982421875,
0.037109375,
-0.12158203125,
-0.03173828125,
-0.0546875,
0.056396484375,
0.04443359375,
0.00634765625,
0.06640625,
0.0888671875,
-0.0133056640625,
0.04638671875,
-0.0205078125,
-0.062255859375,
-0.09814453125,
0.059814453125,
-0.016... | 35,738 | 35738 | |
Proof that the Pontryagin dual of a topological group is a topological group
up vote 0 down vote favorite
I'm looking for a proof that the Pontryagin dual $G^*$ of a topological group $G$ is a topological group.
It's very easy to prove that $G^*$ is a group, my troubles are in proving that the map $G^* \times G^* \to... | 5 | [
-0.1337890625,
0.0289306640625,
0.002471923828125,
0.03662109375,
-0.050048828125,
0.1025390625,
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0.01531982421875,
-0.057861328125,
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-0.045654296875,
-0.05419921875,
0.0283203125,
-0.0157470703125,
-0.052734375,... | 35,739 | 35739 | |
Volume 13,
Volume 13, Issue 6, June 1972
•
View Description Hide Description
A prescription is given for obtaining the Green's function for N free particles which can have different masses. The approach is systematic and straightforward. A coordinate transformation of the
Fourier integral representati... | 4 | [
-0.08349609375,
-0.00677490234375,
-0.05810546875,
0.020263671875,
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0.0625,
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-0.0634765625,
0.08642578125,
-0.04345703125,
-0.064453125,
-0.033935546875,
-... | 35,740 | 35740 | |
Finals question help! (calculus)
January 7th 2007, 04:00 PM #1
Finals question help! (calculus)
Hi everyone,
My Calculus teacher gave us some review sheets of what to expect on the final. I've narrowed it down to this question that I can't figure out no matter what. Can anyone help me? Here is the
proble... | 5 | [
0.036376953125,
-0.021240234375,
-0.061767578125,
0.031494140625,
0.0002002716064453125,
0.019287109375,
0.0137939453125,
0.09375,
0.04931640625,
0.048583984375,
0.06689453125,
-0.0498046875,
0.1083984375,
0.044921875,
-0.0038299560546875,
-0.00457763671875,
-0.000335693359375,
-0.... | 35,741 | 35741 | |
Setting up an Equation
Date: 05/25/99 at 12:49:05
From: El Shaimaa Ghozzi
Subject: Re: Equations
I have a question about equations.
When I add 4 to a number (x) I get the same result as halving the
number and adding 10. What is the value of x?
And another one:
Paul has x toy cars. He buys 6 more, and then has twi... | 4 | [
-0.0022125244140625,
0.0556640625,
0.046142578125,
-0.0361328125,
-0.038818359375,
0.052490234375,
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0.068359375,
0.032470703125,
-0.00011730194091796875,
0.064453125,
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0.051025390625,
-0.000186920166015625,
-0.01275634765625,
0.06103515625,
-0.03344726... | 35,742 | 35742 | |
Determing the ratio of buyers who take up a multi-buy offer (i.e. redemption rate)
July 19th 2011, 12:27 AM #1
Newbie
Joined
Jul 2011
Posts
2
Determing the ratio of buyers who take up a multi-buy offer (i.e. redemption rate)
Hi,
My question is how do i dtermine the % of shoppers who took up a multi ... | 5 | [
0.0166015625,
-0.044677734375,
-0.0419921875,
-0.06103515625,
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0.0712890625,
-0.00153350830078125,
0.0186767578125,
0.0673828125,
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0.0235595703125,
-0.03515625,
0.058349609375,
0.024658203125,
0.005157470703125,
... | 35,743 | 35743 | |
Polynomial Divisions ...help???
Divide the following: (3x^3=4x-1)/(x^2+1) adn write the result in the form f(x)=d(x)*q(x)=r(x) Thank you so very much
Surely a couple of those equal signs should be +, no? So let me assume the question is $\frac{3x^3+4x-1}{x^2+1}$ $x^2$ goes into $3x^3\quad$$\quad 3x$ times (as $\frac{3... | 4 | [
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0.04736328125,
-0.027587890625,
-0.06298828125,
-0.040283203125,
0.067871093... | 35,744 | 35744 | |
What is a good method to find random points on the n-sphere when n is large?
up vote 21 down vote favorite
3
As part of a more complex algorithm, I need a fast method to find random points of the n-sphere, $S^n$, starting with a RNG (random number generator). A simple way to do this (in low dimensions at
least) is to ... | 4 | [
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0.02099609375,
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0.061279296875,
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-0.06494140625,
0.1318359375,
-0.00027... | 35,745 | 35745 | |
probability-easy one
Member
Registered: 2013-03-07
Posts: 528
Re: probability-easy one
probability-easy one
Hey.. many years have gone by since I've done this exercises..so I need to check some answers..
2 number cubes are rolled. a)What is the probability of getting 6 at least on one cube? b)What is the... | 4 | [
-0.0458984375,
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0.018798828125,
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-0.0927734375,
-0.02978515625,
0.0294189453125,
-0.0157470703125,
-0.0373535156... | 35,746 | 35746 | |
Weight Equation
Weight is the force generated by the gravitational attraction of one object on another object. The equation which describes the weight of an object is the same equation whether we are studying
airplanes, rockets, or rocks. Weight is fundamentally different from the aerodynamic forces, lift and drag, and... | 4 | [
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0.038330078125,
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0.05859375,
0.033447265625,
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0.047119140625,
-0.045654296875,
-0.031982421875,
0.024169921875,
0.040283203... | 35,747 | 35747 | |
Diophantus' Lifespan
Associated Topics || Dr. Math Home || Search Dr. Math
Diophantus' Lifespan
Date: 05/14/97 at 2... | 4 | [
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0.056640625,
-0.0162353515625,
0.0546875,
-0.037353515625,
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0.06640625,
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-0.0... | 35,748 | 35748 | |
Differentiation of an integral with implicitly defined variable
November 14th 2012, 01:25 AM
PeterPain
Differentiation of an integral with implicitly defined variable
Hey folks,
I am currently writing on a paper in economics and came up with the following problem I couldn't solve so far.
I would like t... | 5 | [
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0.045654296875,
0.06640625,
0.080078125,
0.01300048828125,
-0.0341796875,
0.068359375,
0.035888671875,
-0.0019073486328125,
0.083984375,
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0.0576171875,
0.08056640625,
0.07568359375,
-0.030517578125,
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-0.053466796875,
0.03466796875,
-... | 35,749 | 35749 | |
Commutative matrix
September 17th 2009, 12:11 PM #1
Member
Joined
Oct 2008
Posts
124
Commutative matrix
Find all matrices that commute with the given matrix A. (The following is all one matrix).
[2 3]
[-3 2]
I let B = the matrix with four variables w, x (top row) y, z (bottom row). I then f... | 4 | [
-0.045166015625,
-0.046142578125,
-0.1123046875,
0.0003452301025390625,
0.033935546875,
-0.0166015625,
0.05615234375,
-0.11083984375,
-0.07470703125,
-0.00121307373046875,
0.0125732421875,
-0.0002593994140625,
0.052490234375,
-0.039794921875,
0.023681640625,
0.09326171875,
-0.0854492... | 35,750 | 35750 | |
Fibonacci Higher Order Question
February 27th 2010, 07:44 AM #1
Member
Joined
Jun 2009
Posts
86
Fibonacci Higher Order Question
1. When a Navy fighter lands on an aircraft carrier, a steel cable is used to slow the jet to a stop before it falls off the ship. The fighter stops after a displacement of 100m... | 4 | [
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-0.0205078125,
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0.052978515625,
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0.08251953125,
-0.111328125,
0.0986328125,
0.034423828125,
0.0458984375,
-0.0063171... | 35,751 | 35751 | |
[SOLVED] stuck on area/integrals
http://i176.photobucket.com/albums/w...ntitled3-2.jpg http://i176.photobucket.com/albums/w...ntitled6-1.jpg can someone help me i know i m doing something wrong.. where did i start to go wrong?
Enclosed area $= \int\limits_0^1 {\sqrt x } ~dx + \int\limits_1^3 {\sqrt {\frac{{3 - x}}{2}}... | 5 | [
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0.002532958984375,
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-0.0179443359375,
-0.019287109375,
0.010009765625,
-0.06982421875,
-... | 35,752 | 35752 | |
Another inverse function issue...
April 20th 2009, 06:42 AM #1
Member
Joined
Nov 2007
Posts
100
Another inverse function issue...
Given that f : x -> x^2 + 6x, and g: x -> 2x - 1 ... where x is a real number.
Find the two values of x such that fg(x) = gf(x), giving each answer in the form $p + q \sq... | 4 | [
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0.0267333984375,
0.06103515625,
-0.01031494140625,
0.0021514892578125,
0.004150390625,
0.024169921875,
-0.054931640625,
-0.052490234375,
0.03173828125,
-0.0108642578125,
... | 35,753 | 35753 | |
Absolutely algorithmically random infinite sequence
up vote 2 down vote favorite
Let's call an infinite sequence of bits $f:N\rightarrow \{0,1\}$ absolutely random if any computably constructed subsequence is not computable, i.e. there aren't monotonic computable function $g:N \
rightarrow N$ and computable function $... | 4 | [
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0.0000743865966796875,
0.00933837890625,
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0.01953125,
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0.01092529296875,
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-0.09765625,
-0.056884765625,
0.0303955078125,
... | 35,754 | 35754 | |
A question on weak derivative - Sobolev spaces
up vote 1 down vote favorite
4
Let $\Omega$ be an open set in $R^n$, and $f \in L^1_{loc}(\Omega)$, such that foreach multiindex $\alpha\in N^n$, $|\alpha| = l$ f has weak derivative $D^\alpha f$ in $L^p(\Omega)$, with $1\leq p\
leq \infty$.
In general it is not true tha... | 5 | [
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0.05908203125,
-0.09375,
... | 35,755 | 35755 | |
What is the best way explain to undergraduates that all 1-dimensional manifolds are orientable?
up vote 15 down vote favorite
11
Let's suppose that $M$ is a connected $1$-dimensional smooth manifold (Haussdorf and paracompact). We know that there are exactly two types, up to diffeomorphism (even up to homeomorphism), ... | 4 | [
-0.0174560546875,
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0.013671875,
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0.061767578125,
0.023681640625,
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-0.0277099609375,
-0.0260009765625,
-0.0439453125,
-0.0081787109375,
... | 35,756 | 35756 | |
[SOLVED] Proving log problem
Show that: $\log_{x^2}(y)$ = $\log_x\sqrt{y} \$ $x > 0$ and $y > 1$
Use the base change formula: $\log_a(x)=\dfrac{\ln(x)}{\ln(a)}$ With your example you have: \begin{aligned}\log_{x^2}(y)&= \\<br /> &= \dfrac{\ln(y)}{\ln(x^2)} \\<br /> &=\dfrac{\ln(y)}{2\ln(x)} \\
<br /> &=\dfrac{\frac12 ... | 4 | [
0.0634765625,
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0.068359375,
0.046630859375,
-0.1220703125,
0.0673828125,
-0.046875,
... | 35,757 | 35757 | |
Factoring Equations with Many Variables
Associated Topics || Dr. Math Home || Search Dr. Math
Factoring Equations with Many Variables
... | 4 | [
0.00165557861328125,
-0.0301513671875,
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0.056640625,
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0.0751953125,
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... | 35,758 | 35758 | |
Tail Conditional Expectation of a binomial random variable
up vote 0 down vote favorite
Let $X \sim B(n,c/n)$ be a binomially distributed random variable with parameter $p = c/n$, and hence mean $c$. Here $c$ is some function of $n$ such that
i) $c \geq n^{2/3}$
ii) The function $c$ grows slower than any linear func... | 5 | [
-0.0302734375,
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0.0634765625,
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-0.026611328125,
-0.007049560546875,
-0.04931640625,
0.09814453125,
0.01007080078125,... | 35,759 | 35759 | |
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Topic: Math & Calculators: perhaps an irrelevant story
Re... | 4 | [
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0.068359375,
0.0179443359375,
-0.045166015625,
-0.06201171875,
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0.0517578125,
0.005859375,
0.048583984375,
0.0301513671875,
0.032470703125,
0.0908203125,
0.0296630859375,
0.000759124755859375,
-0.0322265625,
0.0122070... | 35,760 | 35760 | |
Exploiting the Stream Paradigm
Next: Streams and Delayed Evaluation Up: Streams Previous: Infinite Streams
Exploiting the Stream Paradigm
Streams with delayed evaluation can be a powerful modeling tool, providing many of the benefits of local state and assignment. Moreover, they avoid some of the theoretical t... | 5 | [
-0.09716796875,
-0.0296630859375,
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-0.016357421875,
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-0.01324462890625,
0.06396484375,
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0.00121307373046875,
0.0218505859375,
0.064453125,
-0.049560546875,
-0.0966796875,
-0.039550781... | 35,761 | 35761 | |
Which polynomials are Fricke polynomials ?
up vote 5 down vote favorite
1
Let me recall the definition which seems the most standard of Fricke polynomials. Let $G$ be the free group with two generators $u,v$. It is not very hard to prove that there exists a unique
application $t : G \rightarrow \mathbb{Z}[X,Y,Z]$ such... | 4 | [
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0.06396484375,
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0.0888671875,
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0.0029296875,
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0.031005859375,
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-0.013916015625,
-0.09716796875... | 35,762 | 35762 | |
Due Tomorrow! Solving Trig equations
March 15th 2007, 10:45 AM #1
Junior Member
Joined
Jan 2007
Posts
35
Hey, I'm stuck on these 5 problems and can't seem to figure out what's what. I'm supposed to express in terms of *blah* + 2k(pi) i believe. Any help appreciated. I'll continue working on them and
c... | 4 | [
-0.10302734375,
0.0238037109375,
-0.004119873046875,
0.07861328125,
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0.01507568359375,
0.054443359375,
0.005950927734375,
0.037841796875,
-0.1640625,
0.046142578125,
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0.03759765625,
-0.0260009765625,
-0.029296875,
-0... | 35,763 | 35763 | |
Basic Connectives
May 30th 2007, 05:13 PM
tukeywilliams
Basic Connectives
Prove that the three basic connectives 'or', 'and' and 'not' can all be written in terms of the single connective 'notand' where 'P notand Q' is interpreted as 'not(P and Q)'.
So I made truth tables for ( P or Q) and (P and Q). I am n... | 5 | [
0.0400390625,
-0.0267333984375,
0.018798828125,
-0.005340576171875,
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0.033447265625,
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-0.083984375,
0.05712890625,
0.047607421875,
0.01708984375,
0.0302734375,
0.0908203125,
0.0419921875,
-0.0078125,
0.0751953125,
-0.07177734375,
-0.0052490234375,
-... | 35,764 | 35764 | |
dimention laws
June 28th 2011, 03:07 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
dimention laws
v1,v2,w1,w2 are independant vectors in space V
so Sp{v1,v2)=Sp{w1,w2} and {v1,w2} independant.
prove that {v1,v2} is independant.
before solving this question i got some other questions.
... | 5 | [
0.0033721923828125,
-0.06640625,
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0.02294921875,
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0.0341796875,
-0.0593261... | 35,765 | 35765 | |
Statics-Need help with resultant moment problem
March 14th 2010, 09:42 PM #1
Newbie
Joined
Mar 2010
Posts
15
Statics-Need help with resultant moment problem
I have no idea if I am doing this right or exactly where to start. Moments keep confusing the hell out of me, its so frustrating. So far for part A ... | 4 | [
-0.042724609375,
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0.039306640625,
-0.05029296875,
0.0274658203125,
-0.044921875,
0.0563... | 35,766 | 35766 | |
Math Forum Discussions
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Topic: diff eq
Replies: 8 Last Post: Apr 11, 2013 2:27 AM... | 4 | [
-0.1455078125,
0.01019287109375,
0.033447265625,
-0.025634765625,
-0.0311279296875,
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0.041015625,
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0.0732421875,
-0.09765625,
-0.07177734375,... | 35,767 | 35767 | |
Quadratic function
May 5th 2009, 06:00 AM #1
Newbie
Joined
May 2009
Posts
1
Quadratic function
determine the maximum or minimum value of each of the following quadratic functions by completing the square. state the value of X corresponding with the maximum or minimum value
1. f(x)= x(square) - 6x + ... | 4 | [
0.00537109375,
-0.0223388671875,
0.0260009765625,
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0.06591796875,
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0.07666015625,
-0.05615234375,
0.0224609375,
-0.02734375,
-0.00115203857421875,
0.000050067901611328125,
0.027099609375,
-0.0283203125,
0.0137939453125,
-0.024658203125,
... | 35,768 | 35768 | |
Relational Quantum Gravity
← Introduction to Tensors ↑ →
Tensors
are built from vectors. They provide the mathematical structure used to describe states of many particles in quantum mechanics, as well as the structure to express general physical law in general
relativity. The idea in their construction is remarka... | 4 | [
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0.08984375,
0.0556640625,
0.11865234375,
-0.037841796875,
0.06... | 35,769 | 35769 | |
Logarithmic Multiplication
Date: 05/15/2003 at 18:53:24
From: Tess
Subject: Logarithmic Multiplication - Rearranging Bases within Logs
We found that you can rearrange bases in logarithmic multiplication.
Therefore log(b)x * log(c)y = log(c)x * log(b)y.
Take this problem:
log(2)3 * log(3)64. WIth the change of base ... | 4 | [
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0.... | 35,770 | 35770 | |
Finding a limit
August 1st 2010, 01:00 AM
Glitch
Finding a limit
The question:
Find the limit as x tends to 3 for $\frac{\frac{1}{x}-\frac{1}{3}}{x - 3}$
Normally I'd apply l'Hôpital's rule, but we haven't learnt that yet, so I assume they want us to do it algebraically. I'm not sure how to factor it so... | 5 | [
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-0.01031494140625,
-0.... | 35,771 | 35771 | |
Primitive roots
July 8th 2011, 01:35 PM #1
Junior Member
Joined
Feb 2010
Posts
45
Primitive roots
Show that if $m$ is a number having primitive roots, then the product of the positive integers less than or equal to $m$ and relatively prime to $m$ is congruent to $-1 (\mod{m})$.
$m$ has primitive roo... | 4 | [
0.03466796875,
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0.03173828125,
0.004425048828125,
0.054443... | 35,772 | 35772 | |
Help with Circuit problem
May 12th 2010, 10:58 PM #1
Newbie
Joined
Mar 2010
Posts
3
Help with Circuit problem
I didn't learn to do this properly so please help me and explain it clearly.
The current in amps in an ac circuit containing a resistance is given by i = 1.5 sin ωt where ω = angular velocit... | 4 | [
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0.09375,
-0.046630859375,
0.033935546875,
... | 35,773 | 35773 | |
Double Inequalities
March 4th 2010, 11:46 PM #1
Newbie
Joined
Feb 2009
Posts
19
Double Inequalities
Need help to solve this:
0 < √1-x^2 < 1
answer is -1< x < 1
How does that work?
Thanks.
I take it that this is
$0 \leq \sqrt{1 - x^2} \leq 1$.
Squaring everything maint... | 4 | [
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0.061279296875,
-0.1... | 35,774 | 35774 | |
Differential forms
August 22nd 2011, 01:24 PM #1
Newbie
Joined
Aug 2011
Posts
2
Differential forms
Hi everyone, I'm new here.
I'm an italian student who has an exam in applied thermodynamics soon. Through the whole course as well as the Physics one I have faced a lot of equations expressed with diff... | 4 | [
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-0.042236328125,
-0.0483398437... | 35,775 | 35775 | |
Generalized silver matrix (related to defining number)
up vote 3 down vote favorite
3
Let $S=\{1,2,\dots,m+n-1\}$.
An $m\times n$ matrix($\in S^{m\times n}$) is called silver matrix if
(a) There is no same numbers in the row or column. (like latin square)
(b) {$i$ th row}$\cup${$i$ th column}=S for all $1\leq i\leq... | 5 | [
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0.015869140625,
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0.06640625,
0.107421875,
0.02... | 35,776 | 35776 | |
Infinite Product
November 30th 2009, 10:10 PM
dymin3
Infinite Product
i am having some difficult to expand e^z - 1 in an infinite product. I was using the identity e^z-1 = 2ie^(z/2)sin(z/2i) but i couldn't really figure it out.
also, similar question im trying to prove an identity
1/(e^z-1) = 1/z - 1/2 ... | 4 | [
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-0.01416015625,
-0.01043701171875,
... | 35,777 | 35777 | |
Linear Transformations and Polynomials
November 8th 2009, 08:22 PM #1
Junior Member
Joined
Nov 2008
Posts
53
Linear Transformations and Polynomials
Consider the transformation of ax^2 + bx + c in P2 to absolute value of a in P0. Show that it does not correspond to a linear transformation by showing that ... | 5 | [
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0.0150146484375,
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-0.055419921875,
0.033203... | 35,778 | 35778 | |
Concerning strata in $C^\infty(M)$
up vote 4 down vote favorite
1
The Morse functions are dense in $C^\infty(M)$, and you can ask if a 1-parameter family of smooth functions between two given Morse functions will be a homotopy through Morse functions. Well, Cerf
Theory shows that there is a codimension-one stratum $\m... | 4 | [
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-0.022705078125,
-0.014... | 35,779 | 35779 | |
Help with a problem
June 4th 2009, 08:22 PM #1
Help with a problem
Assuming that all matrices are $n\,\,x\,\,n$ and invertible, solve for $D$:
$ABC^{T}DBA^{T}C=AB^{T}$
I realized that I would someone have to reduce everything to the right of $D$ to $B^{T}I_{n}$ and everything to the left would be $AI_{n... | 5 | [
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0.035400390625,
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0.1318359375,
0.03271484375,
0.... | 35,780 | 35780 | |
find remainder
September 4th 2010, 02:34 AM #1
q 1)what is the remainder when 2^2006 is divided by 7
ans 1) 2^3 con 1 mod 7
or 2^2004 con 1 mod 7.......................1
also 2^2 con -3 mod 7.........................2
by 1 and 2
or 2^2006 con -3 mod 7
hence remainder is 4.
note: con sta... | 5 | [
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-0.01123046875,
-0.... | 35,781 | 35781 | |
fermat's little thm
February 28th 2009, 08:58 AM #1
Junior Member
Joined
May 2008
Posts
70
fermat's little thm
compute the remainder when 2^(2^17) + 1 = 19
that + 1 is really throwing me off... I don't know how to deal with it.
I assume you want to find the remainder of $2^{2^{17}}+1$ modulo $1... | 5 | [
0.007171630859375,
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-0.01336669921875,
-0.0238037109375,
-0.0... | 35,782 | 35782 | |
Variation of parameters question
May 26th 2009, 08:27 AM #1
Member
Joined
Sep 2007
Posts
76
Variation of parameters question
Can someone help get me started with this I'm not sure where to begin..
$<br /> \begin{gathered}<br /> x\frac{{dy}}<br /> {{dx}} + (2 + 3x)\frac{{dy}}<br /> {{dx}} + 3y = r(... | 5 | [
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0.0096435546875,
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0.0927734375,
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-0.06079... | 35,783 | 35783 | |
2D Coordinate System
Date: 05/13/99 at 01:27:18
From: Ilya Burda
Subject: Coordinate transform
I have two 2D coordinate systems S1 and S2 arbitrarily positioned on a
plane. I also have two points A and B with known coordinates in the S1
system. I have angles between S2 coordinate axes and lines connecting
the S2 ori... | 4 | [
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Trying to sum a series (related to catalan numbers perhaps)
up vote 1 down vote favorite
1
Whilst trying to solve a combinatorics problem I am faced with summing this series:
1+ 2C_1 2/(3^2) + 4C_2 (2^2)/(3^4) + 6C_3 (2^3)/(3^6)+ ... + 2nC_n (2^n)/(3^(2n))+...
Where 4C_2 is 4 choose 2.
Any idea how to approach this... | 5 | [
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... | 35,785 | 35785 | |
improper integral #2
Show that $\displaystyle \int_{0}^{\infty} \Big( \frac{1}{1+x^{2}} - \cos x \Big) \ \frac{dx}{x}$ is an integral representation of Euler's constant.
Any hints, RV? The integrand can be written as: $\displaystyle \sum_{k = 0}^{\infty}\frac{(-1)^k\left((2k)!-1\right)x^{2k-1}}{(2k)!}$ but that's prob... | 5 | [
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-... | 35,786 | 35786 | |
Parametric graphing and calculus
August 28th 2012, 03:09 PM
TenaciousE
Parametric graphing and calculus
Problem:
x = cos(t) + 2cos(2t)
y = sin(t) + 2sin(2t)
graph the curve to discover where it crosses itself and find both tangent lines at that point.
I understand how to find the tangents afte... | 5 | [
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0.05... | 35,787 | 35787 | |
mathschallenge.net
Frequently Asked Questions
How do you use geometry to solve quadratics?
To solve an equation of the form x² ax b, construct two lengths at right angles, ½a and √b. Form a right triangle and extend the hypotenuse by ½a.
The new length, x, is the solution of the equation, which can be proved as ... | 4 | [
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DIY Chatroom Home Improvement Forum - curved wheelchair ramp
rjn64 12-01-2012 06:01 PM
curved wheelchair ramp
i would like to know the formula for figuring the radius of the curved slope of a curved ramp. when given a total rise and a total run and a inner and outer parralel radius
Keith Mathewson 12-01-2012 0... | 4 | [
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0.... | 35,789 | 35789 | |
Centroid of composite area
November 8th 2012, 08:04 AM #1
Newbie
Joined
Sep 2012
From
Buffalo Ny
Posts
9
Centroid of composite area
Hello again,
I'm not entirely sure this belongs here but it seems like a good fit. I have a question that I was pretty certain I knew how to solve but the answer tha... | 4 | [
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When does sheaf cohomology commute with arbitrary direct sums?
up vote 8 down vote favorite
3
It is well known and more or less proven in Hartshorne's 'Algebraic Geometry' (p. 209) that for every noetherian scheme $X$ and every collection of abelian sheaves $\mathcal{F}_i$ the canonical map
$$ \bigoplus_i H^*(X; \mat... | 4 | [
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0.0434... | 35,791 | 35791 | |
What Am I Doing Wrong? - Integral
February 20th 2008, 11:12 PM #1
What Am I Doing Wrong? - Integral
Back of the book says the answer is zero, but I keep getting infinity (which I think means it is divergent), and I don't know where the discrepancy lies :/
$\int_{-\infty}^\infty xe^{-x^2}$
$=\lim_{N\to\i... | 5 | [
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0.06591796875,
0.041992... | 35,792 | 35792 | |
Math Help
October 20th 2009, 08:58 PM #1
Newbie
Joined
Oct 2009
Posts
5
Induction
Induction Proof
n(n^2 + 5) is divisible by 6 for all integers n >= 1.
i am kind of stuck here
Where EXACTLY are you stuck? Have you already checked for n = 1? Then, what is your inductive asusmption (hypot... | 4 | [
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Optimisation with PSD and rank constraints
October 20th 2011, 03:55 AM
AlexisM
Optimisation with PSD and rank constraints
I have the following optimisation problem:
$\begin{array}{ll}\min_M & E(M) = \sum_i f_i(\mathbf a_i^T M \mathbf a_i)\\ \text{s.t.} & M \succeq 0\\&\mathrm{rank}(M) \leq k\end{array}$
... | 4 | [
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0.0703125,
0.02221679687... | 35,794 | 35794 | |
solve the triangle/with given parts
I'm assuming side A is directly opposite angle $\alpha$, there is a side B opposite angle $\beta$, and there is a hypotenuse opposite angle $\gamma$. If so... The sum of the interior angles in a
triangle equals 180, so: $<br /> \alpha + \beta + \gamma = 180<br />$ $<br /> 42.5 + 35.2... | 4 | [
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0.00032806396484375,
-0.01... | 35,795 | 35795 | |
taylor series problem
Look, this is kinda' news to me but it seems to fall out right.. So if we can obtain the Taylor series: $\log(\cos(x))-x\sin(x)=-3/2 x^2+x^4/10+\cdots$ $2e^{x^2}-\cos(2x)-1=4x^2+x^4/3+\cdots$ and
then use long division: $<br /> \begin{array}{rc@{}c}<br /> & \multicolumn{2}{l}{\, \, \, } \vspace*{0... | 5 | [
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lens
Physics 54
Lenses and Mirrors
And now for the sequence of events, in no particular order.
— Dan Rather
... | 4 | [
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"coupon collector's problem" -- need help in final step of the solution
October 15th 2009, 12:16 AM #1
Newbie
Joined
Oct 2009
Posts
3
"coupon collector's problem" -- need help in final step of the solution
Problem:
Each box of cereal contains one of $n$ different coupons (uniformly at random). Calcu... | 5 | [
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Principal Components Analysis
Introduction
Real-world data sets usually exhibit relationships among their variables. These relationships are often linear, or at least approximately so, making them amenable to common analysis techniques. One
such technique is
principal component analysis
("PCA"), which rotates the or... | 5 | [
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