content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Math Help
March 24th 2009, 06:18 AM #1
Newbie
Joined
Sep 2008
Posts
6
Differentiate
A man in a boat is 3 km from O, which is the nearest point in straight beach. His destinations is 6 km along the beach from O. If he can row at 4km/h and walk at 5km/h towards what point on the
beach should he row to... | 5 | [
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0.142578125,
-0.037353515625,... | 37,700 | 37700 | |
Math Images
Cross-cap
From Math Images
Cross-cap and Cross-capped Disk
The cross-capped disk is one 3 dimensional model of the Real Projective Plane. The cross-capped disk is a 2 dimensional surface that is non-orientable and has only one side. The Real Projective
Plane is best represented using 4 spacial ... | 4 | [
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Example 7.16: assess robustness of permutation test to violations of exchangeability assumption
Permutation tests
(section 2.4.3) are a form of resampling based inference that can be used to compare two groups. A simple univariate two-group permutation test requires that the group labels for the observations are
excha... | 5 | [
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Help with a Business Calculus problem, please- f(x)=20 - 15e^(0.2x)
April 13th 2013, 07:05 PM #1
Newbie
Joined
Apr 2013
From
Arkansas
Posts
2
Help with a Business Calculus problem, please- f(x)=20 - 15e^(0.2x)
When professors select texts for their courses, they usually choose from among the books a... | 5 | [
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Explaining Mukai-Fourier transforms physically
up vote 7 down vote favorite
4
A core concept in mathematics, engineering, and physics is the Fourier Transform (FT) and its many variants (Generalized Fourier Series, Green's Function, Pontryagin duality).
The basic algorithm is to find dual sets of eigenvectors/eigenf... | 4 | [
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Can sine be made into a homomorphism?
up vote 6 down vote favorite
Consider the usual sine function $\mathbb{R}\rightarrow \mathbb{R}$. Is there some (single) group structure we can put on $\mathbb{R}$ with respect to which sine becomes a homomorphism?
I suspect the answer is either no for a trivial reason, or yes by... | 5 | [
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Why is the ML estimator for the variance of a normal distribution biased?
April 25th 2013, 02:57 AM #1
Junior Member
Joined
Dec 2010
Posts
61
Why is the ML estimator for the variance of a normal distribution biased?
Hi,
I'm a bit perplexed by this and I wonder if someone can clarify things at all.
... | 4 | [
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... | 37,706 | 37706 | |
Limits and Continuity
October 1st 2008, 10:44 PM #1
Newbie
Joined
Oct 2008
Posts
7
Limits and Continuity
Please help me solve lim (sin 2x)/x
x approaching zero.
I'm supposed to determine the limit graphically and then confirm algebraically.
Thank you.
Here's the graph:
Can ... | 4 | [
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Apothems and Area
From Math Images
What is an Apothem?
The image to the right shows the shortest distance from the center to the midpoint of one side in various regular polygons.
Basic Description
An apothem extends from the center of a regular polygon to the midpoint of one of its sides. If you know the leng... | 5 | [
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... | 37,708 | 37708 | |
Find the equation of the tangent plane to the surface (vector calculus)
Find the equation of the tangent plane to the surface (vector calculus)
Find the equation of the tangent plane to the surface z=x(x^2+y)^1/2 at the point (2,5,6) thank you
Re: Find the equation of the tangent plane to the surface (vector calcul... | 4 | [
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Finding Eigenvectors to diagonalize
November 10th 2009, 07:59 PM #1
Junior Member
Joined
Oct 2009
Posts
54
Finding Eigenvectors to diagonalize
Hello, I've been looking at question which states to diagonalize the matrix $A = \left(\begin{array}{ccc}1&t&0\\0&t&t\\0&0&0\end{ar ray}\right)$
I've found th... | 5 | [
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Square Roots and Su mof Two Squares (involves modulos)
May 28th 2010, 10:45 AM #1
Banned
Joined
Apr 2009
Posts
96
Square Roots and Su mof Two Squares (involves modulos)
Hello all,
I have a few questions about how squares affect mods. Here they are:
1. Assume p to be an odd prime and a is any in... | 5 | [
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X-Ray Mass Attenuation Coefficients
X-Ray Mass Attenuation Coefficients
3. The Mass Energy-Absorption Coefficient, μ[en]/ρ
The methods used to calculate the mass energy-absorption coefficient, μ[en]/ρ, are described perhaps more clea... | 4 | [
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What graph invariants are fast to compute?
up vote 1 down vote favorite
Problem: describe classes of automorphism for the following collection of graphs.
Let $\mathbb{F}$ be a finite field of order $q$; then the vertex set V is defined as $V = \{(x,y) : x\in\mathbb{F},y\in\mathbb{F}\}$; adjacency is defined as follow... | 4 | [
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Solve the area of an isosceles triangle with differentials
February 22nd 2013, 01:05 PM #1
Newbie
Joined
Feb 2013
From
Somewhere
Posts
1
Solve the area of an isosceles triangle with differentials
An isosceles triangle has equal sides of length 12m. If the angle theta between these sides is increased ... | 4 | [
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Fourier coefficient of a modular form
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
If someone hands you a prime number $p$, and an algebraic number $x$ inside the Hasse-Weil bound, is there a normalized newform (say of we... | 5 | [
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Local-globalism for similar matrices?
up vote 10 down vote favorite
3
My background on number theory is very weak, so please bear with me...
Given two matrices $A$ and $B$ in $\mathbb{Z}^{n\times n}$. Assume that for every prime $p$, the images of $A$ and $B$ in $\mathbb{F}_p^{n\times n}$ are similar to each other. D... | 5 | [
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Morphisms between formal dg-algebras
up vote 7 down vote favorite
1
Suppose we are given a map $f:A \rightarrow B$ between two dg-algebras which are formal. Is the map $f$ also "formal" in some sense?
More precisely can we find isomorphisms $\phi_A:A\rightarrow H^\bullet(A)$ and $\phi_B:B\rightarrow H^\bullet(B)$ in ... | 5 | [
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inhabited set
Contents
Idea
In set theory, an inhabited set or occupied set is a set that contains an element.
More generally, in type theory an inhabited type is a type that has a term.
At least assuming classical logic, this is the same thing as a set that is not empty. Usually inhabited sets are simply called ‘n... | 5 | [
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Finger Multiplication for the 9s, Explained
Date: 04/22/2002 at 10:29:39
From: Sarah Richards
Subject: 9 Times Table Finger Trick
I long ago learned the nine times table 'finger trick' that you
feature in the Dr. Math archives, but am puzzled as to exactly WHY it
works.
Thanks a lot.
Sarah
Date: 04/22/2002 at 12:1... | 4 | [
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Choose Three People from Five
Date: 05/09/2001 at 19:53:02
From: Barbara Moyers
Subject: Combinations
How would you work out this problem?
Find the number of combinations
choose 3 people from 5
Must be done like this _ times_times_
_______________
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[SOLVED] nonempty set, injective function
February 24th 2009, 05:48 PM
deathbyproofs
[SOLVED] nonempty set, injective function
Prove or disprove: For every nonempty set A, there exists an injective function f: A -> P(A).
So this is saying that for this function f, every element of A has an image in the power... | 4 | [
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Generating Functions for Point Set Distances
Does the multi-set of point-to-point distances between N points on a line uniquely determine the configuration of points (up to reflection)? For N = 2 or 3 the answer is obviously yes. What about N =
4? In other words, can there exist two distinct configurations of points o... | 4 | [
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Calculating the GDP per person?
December 13th 2010, 09:54 AM #1
Junior Member
Joined
Nov 2008
Posts
39
Calculating the GDP per person?
A country has a population of 61 million and a Gross National Product (GNP) of 4.3 trillion euros. (You should use the UK and US versions of million and trillion.)
Wh... | 4 | [
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Similar to Wilson's Theorem
May 7th 2007, 10:32 PM #1
Member
Joined
Sep 2006
Posts
221
Similar to Wilson's Theorem
Suppose that m is an int. and has primitive roots; then, we know that the product of the pos. integers less than m and also relatively prime to m is congruent to -1 (mod m). (Notice that if ... | 5 | [
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Quadratic Word Problems
October 28th 2009, 03:29 PM #1
Newbie
Joined
Oct 2009
Posts
7
Quadratic Word Problems
I don't understand these problems at all..
2b. Melissa plans to put a fence around her garden while leaving a 10 ft. opening to get in and out. If she has 120 ft. of fencing, what is the max... | 4 | [
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Exotic spectrum of Laplace operator
up vote 2 down vote favorite
5
Given a closed Riemannian manifold and a generalized Laplace $\Delta$ operator, it is well known that $\Delta$ has discrete spectrum $(\lambda_n)_n$ (arranged in a increasing way, not counting
multiplicities). By a (consequence of a) result of Colin de... | 4 | [
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[SOLVED] subtracting fractions
January 23rd 2010, 08:49 AM
satis
[SOLVED] subtracting fractions
this should probably be fairly easy, but my answer ended up being slightly different than what the answer should be. I'm hoping someone can be so kind as to point out my mistake.
$\frac{1}{x^2-x-2} - \frac{x}{x^2... | 4 | [
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A Way to Express i to the i
Associated Topics || Dr. Math Home || Search Dr. Math
A Way to Express i to the i
Date: 1... | 5 | [
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0.039794921875,
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0.0118408203125,
0.0537109375,
0.03515625,
-0.00958251953125,
-0.0517578125,
0.03271484375,
-... | 37,728 | 37728 | |
Equivalence Relations Proof
November 10th 2009, 09:00 AM #1
Newbie
Joined
Oct 2009
From
Philidelphia/Pittsburgh PA
Posts
16
Equivalence Relations Proof
For homework I am supposed to prove a proposition that says: Assume we are given an equivalence relation on set A.
For a1 and a2 in A either [a1]... | 5 | [
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0.0673828125... | 37,729 | 37729 | |
implicit differentiation
Suppose that y is a function of x determined by e^xy = y. Find y(0) and y'(0).
I'm assuming this is $e^{xy} = y$ and not $e^xy = y$ (which would be kind of silly, I guess)? y(0): $e^{0 \cdot y} = y$ $y = 1$ So y(0) = 1. y'(0): $e^{xy} = y$ $(y + xy')e^{xy} = y'$ So at x = 0
this becomes: $(y(0... | 5 | [
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0.0115966796875,
0.0341... | 37,730 | 37730 | |
Point where growth rate of one function overtakes growth rate of another
August 11th 2012, 12:34 PM #1
Newbie
Joined
Aug 2012
From
United States
Posts
3
Point where growth rate of one function overtakes growth rate of another
This is the problem:
Two algorithms takes n^2 days and 2^n seconds resp... | 5 | [
-0.0240478515625,
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-0.00830078125,
-0.0163... | 37,731 | 37731 | |
Eliminate the parameter
February 8th 2007, 11:28 AM
kcsteven
Eliminate the parameter
I am stuck and need a push. This problem looks simple, I have done quite a few of these but this one is a little different, it's giving me trouble. I am suppose to eliminate the parameter t to
find a cartesian equation for:
... | 4 | [
-0.04833984375,
0.056884765625,
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-0.0986328125,
0.005... | 37,732 | 37732 | |
Is the category of quotient of countably based topological spaces cartesian closed ?
up vote 7 down vote favorite
In "Handbook of categorical algebra Vol 2" from Francis Borceux, the author gives a proof that $Top$ is not cartesian closed. It seems to me that this proof can be adapted to show that the category $
\omeg... | 5 | [
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Math Help
April 10th 2007, 07:05 PM #16
Re:
so would 4cos^2(theta) + 2cos(theta) -2 be equal to 4cos(theta)cos(theta) + 2cos(theta) -2? 0.o
oh i didnt see there was a second page. we learned polar coordinates in trig and now we are doing things with it in calc 2. i think its the differentiating thats gettin... | 5 | [
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... | 37,734 | 37734 | |
[SOLVED] Surface integrals in curvilinear coordinates
October 11th 2008, 05:56 AM #1
[SOLVED] Surface integrals in curvilinear coordinates
Calculate the flux of the vector field $\textbf{A}(\rho, \varphi, z) = \left(z \frac{\rho^2-1}{\rho}, 0, 0\right)$ out through the surface of $x^2 +y^2 +(z-2)^2 \leq 4$ (cylin... | 5 | [
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0.09814453125,
-0.046875,
0.01708984375,
-0.037109375,
0.014648... | 37,735 | 37735 | |
Jordan curve theorem for cylinders
up vote 3 down vote favorite
Hello, I would like to know if the following result is true:
Let $A,B$ be two embedded circles in $S^2$ which do not intersect and let $C$ be the $\textit{closed}$ region bounded by $A$ and $B$ (this region is well-defined by the Jordan Curve Theorem). T... | 5 | [
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-0.0791015625,
-0.0231933593... | 37,736 | 37736 | |
Rational maps with all critical points fixed
up vote 7 down vote favorite
6
What can be said about rational self-maps of $\mathbb P^1$ for which all critical points are also fixed points ?
If all but one of the fixed points are critical, there is a characterization in http://arxiv.org/abs/math/0411604v1 ( see Corolla... | 5 | [
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-0.029663085937... | 37,737 | 37737 | |
Is $ \sum\limits_{n=0}^\infty x^n / \sqrt{n!} $ positive?
up vote 63 down vote favorite
31
Is $$ \sum_{n=0}^\infty {x^n \over \sqrt{n!}} > 0 $$ for all real $x$? (I think it is.) If so, how would one prove this? (To confirm: This is the power series for $e^x$, except with the denominator
replaced by $\sqrt{n!}$.)
Tha... | 5 | [
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-0.00084686279296875,... | 37,738 | 37738 | |
Energy/Work - Power
ENERGY/work - power:
Energy: An entity that makes matter move. The ability to do work.
Work: A force that is exerted on an object that causes it to move through a distance.
Power: The rate at which work is done on an object (or the rate at which energy is transformed).
Energy:
Football Energy Tra... | 4 | [
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0.0306396484375,
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... | 37,739 | 37739 | |
Two short questions on vectors
October 14th 2010, 02:43 AM #1
Super Member
Joined
Dec 2008
Posts
509
Two short questions on vectors
Hi
The following question i am having problems with:
1) Find the equation of the plane normal to the vector 2i+j-3k
$2x+y-3z = d$
$|d|=5$
$d= 5$ or $-... | 5 | [
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-0.05615234... | 37,740 | 37740 | |
Fixed point theorems
up vote 28 down vote favorite
26
It is surprising that fixed point theorems (FPTs) appear in so many different contexts throughout Mathematics: Applying Kakutani's FPT earned Nash a Nobel prize; I am aware of some uses in logic; and
of course everyone should know Picard's Theorem in ODEs. There ar... | 4 | [
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0.07861... | 37,741 | 37741 | |
T is a normal operator; prove that R(T) = R(T*)
November 24th 2009, 05:34 PM
Last_Singularity
T is a normal operator; prove that R(T) = R(T*)
Question: Let $T$ is a normal operator on a finite-dimensional inner product space $V$. Show that $N(T)=N(T^*)$ and that $R(T)=R(T^*)$.
I think that I got the first p... | 4 | [
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0.0172119140625,
0.0... | 37,742 | 37742 | |
Probability
July 17th 2013, 07:28 AM #1
Junior Member
Joined
Aug 2012
From
The Earth
Posts
71
Thanks
1
Probability
If a year is taken to have 365 days, including 29 February, and there are n (1<n<=365) people, show that the probability that at least two people have the same birthday is 1-(365!)/(... | 4 | [
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-0.08056640625,
-0... | 37,743 | 37743 | |
$\sum _{k=0}^{\infty } \frac{1}{(k+m) k!} \equiv 1$ for $m=2$
up vote 1 down vote favorite
I changed the title and added revisions and left the original untouched
For this post, $k$ is defined to be the square root of some $n\geq k^{2}$. Out of curiousity, I took the sum of one of the factorials in the denominator of... | 5 | [
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0.0986328125,
0.01257... | 37,744 | 37744 | |
Did I do this correct, integration of parts
August 14th 2011, 12:10 PM #1
Member
Joined
Jan 2009
From
Ontario Canada
Posts
219
Did I do this correct, integration of parts
S x(x+1)^.5 dx
u = 1x v= 2/3(x+1)^3/2
du = 1 dv (x+1)^.5
answer
2/3x(x+1)^3/2 -2(x+1)^3 + c
Let me know th... | 5 | [
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0.... | 37,745 | 37745 | |
degenerating surface
up vote 4 down vote favorite
2
Hi, i have a sequence of immersed disc $u_n: \mathbb{D} \rightarrow \mathbb{R}^3$ which converge to a singular cover of the disc: $z^k$ for $k\geq 2$, moreprecisely $u_n \rightarrow z^k$ in $C^2(\
mathbb{D})$. Of course the Gauss curvature of the image $\Sigma_n=u_n(... | 5 | [
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-0.002624511718... | 37,746 | 37746 | |
Carmichael number
December 18th 2008, 08:16 AM #1
Carmichael number
Show that if $n = p_{1} \cdots p_{k}$, where $p_{i} eq p_{j} \; \forall \; i eq j$ and for every $i, p_{i}-1 \mid n-1$, then $n$ is a Carmichael number.
We will show that if $a>0$ and $\gcd(a,n)=1$ then $a^{n-1}\equiv 1(\bmod n)$. Define the... | 5 | [
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0.003051757812... | 37,747 | 37747 | |
The Golden Ratio
From Math Images
(Difference between revisions)
Johan Johan
( (
Talk ... | 4 | [
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... | 37,748 | 37748 | |
Square roots of elements in a finite group and representation theory
up vote 28 down vote favorite
12
Let $G$ be a finite group. In an an earlier question, Fedor asked whether the square root counting function $r_2:G\rightarrow \mathbb{N}$, which assigns to $g\in G$ the number of elements of $G$ that
square to $g$, at... | 4 | [
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-0... | 37,749 | 37749 | |
working out 'x' which is a side of a scalene inside a right-angle
April 10th 2008, 09:21 AM
Jamie88
working out 'x' which is a side of a scalene inside a right-angle
http://users.cs.cf.ac.uk/J.G.Lee/triangle
Hello everybody.
I was just wondering how one would calculate the length of x on the diagram abo... | 4 | [
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-0.09814453125,
-0.008... | 37,750 | 37750 | |
Can the holomorphic image of $(\mathbb{C}^*)^n$ be open but not dense
up vote 26 down vote favorite
6
Let $M$ be a compact complex connected [but not necessarily kähler] $n$-manifold, and suppose we have a holomorphic map $$(\mathbb{C}^*)^n \to M$$ such that the image is open. Is the image
necessarily dense in... | 4 | [
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0.027587890... | 37,751 | 37751 | |
solving a simple DE using the Laplace Transform - am i doing it right?
May 31st 2011, 11:36 AM
chogo
solving a simple DE using the Laplace Transform - am i doing it right?
Hi all. I have been trying to relearn the laplace transform. I want to solve this second order ode
$y^{''}+y^{'}+y=1$
I know this c... | 5 | [
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... | 37,752 | 37752 | |
Parabola Question! Help!
March 24th 2008, 03:16 AM
mibamars
Parabola Question! Help!
The parabola has the turning point at (z, -8) and y-intercept at 10, and an x-intercept at x=5.
What is --- value of z?
The equation of parabola?
Plz help!
March 24th 2008, 03:48 AM
mr fantastic
Quote:
... | 4 | [
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-0.04101... | 37,753 | 37753 | |
Double integral
December 26th 2011, 04:08 AM #1
Member
Joined
Dec 2011
Posts
83
Thanks
7
Double integral
Let
$f(x)=6x(1-x)$ for $0\leq x\leq 1$
$g(y)=2y$ for $0 < y < 1$
Calculate $F(w) = \iint_{x^2y \leq w}f(x)g(y)dxdy$ for $0\leq w\leq 1$
I'm having trouble figuring out what the l... | 5 | [
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0.03955078125,
0.030029296875,
0.08251953125,
-0.0286865234375,
-0.0791015625,... | 37,754 | 37754 | |
Linear Transformations
March 30th 2011, 10:12 PM
vecoma
Linear Transformations
I'm a bit confused on how to prove if a transformation is linear or not.
I know that there are 2 rules:
T(u+v) = T(u)+T(v)
and
T(ku)= kT(u)
However, I'm still not sure though how to write out the problems out i... | 5 | [
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0.035888671875,
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0.0205078125,
-0.028564453125,
-0.04931640625,
-0.0908203125,
0.04052734375,
-0.0247802... | 37,755 | 37755 | |
Please solve equation
Is the correct answer x = (5 ln 3 - 2 ln 4) : (ln 4-2 ln3)
How do you further simplify it? You mean to calculate on the calculator? Or is there another way? I am going to do it, I wanted to make sure that I solved it right. Thank you for your help.
4^(x +2) = 3^(2x +5) (x +2)ln(4) = (2x +5)ln(3)... | 4 | [
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0.0502929... | 37,756 | 37756 | |
Braingle: 'Brave Sailors' Brain Teaser
Brave Sailors
Math brain teasers require computations to solve.
Puzzle ID: #6923
Fun:
Difficulty:
Category: Math
Submitted By: majd
Corrected By: cnmne
Tweet
We are brave sailors always riding the sea
We are less than one hundred but as tough as can be
We sleep... | 4 | [
0.0308837890625,
0.044189453125,
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0.0458984375,
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0.051025390625,
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-0.052... | 37,757 | 37757 | |
Graphing Parabolas
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ Graphing Parabolas ┃
... | 4 | [
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0.07861328125,
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-0.0913085937... | 37,758 | 37758 | |
coin problem
May 19th 2010, 07:53 AM #1
Member
Joined
Jan 2008
Posts
173
coin problem
I lost my coins! This morning I had 7 coins worth 53 cents. How many nickels (5 cent pieces) did I have?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
So I'm assuming we have pennies, nickels, dimes, quarters.
Immediatel... | 4 | [
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... | 37,759 | 37759 | |
Combine the fractions
February 22nd 2009, 04:42 AM
bryang
Combine the fractions
I'm having trouble finding the answer to this problem. Here is how I have been trying to solve it:
First, here is the problem:
$\frac{x}{x+1} + \frac{4}{1-x} + \frac{x^2-5x-8}{x^2-1} =$
The denominator of the second fr... | 4 | [
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0.04345703125,
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0.035888671875,
0.003753662109375,
-0.034667... | 37,760 | 37760 | |
Defining Inner Products
October 5th 2011, 09:17 PM
KelvinScale
Defining Inner Products
Hi everyone,
This questions has been stumping me for a few days now. But the questions asks how I could define an inner product for a vector space V such that all the vectors in a basis C are orthonormal.
So all vect... | 5 | [
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-0.021972656... | 37,761 | 37761 | |
Infinite closed partition of the real line with no closed infinite unions
up vote 6 down vote favorite
3
Is there a partition of the real line into infinitely many closed subsets so that no infinite union of these subsets (except the whole space) is closed?
This question was asked also at math.stackexchange.com. Whil... | 5 | [
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theory for solving eigenvector and eigenvalue that are unequal
September 19th 2012, 08:15 AM #1
Junior Member
Joined
Sep 2012
From
ohio
Posts
68
theory for solving eigenvector and eigenvalue that are unequal
The question asks can a vector X be an eigenvector for two unequal eigenvalues E1 and E2 for ... | 5 | [
-0.01226806640625,
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0.083984375,
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-0.021118164062... | 37,763 | 37763 | |
antiderivatives
find a function f such that f'(x)=x3 and the line x+y=0 is tangent to the graph of f
$f'(x) = x^3 \implies f(x) = \frac{x^4}{4} + C$ $x+y = 0 \implies y = -x$ ... slope of the tangent line is $m = -1$ at the point of tangency $(x_0,y_0)$ ... $f'(x_0) = x_0^3 = -1 \implies x_0 = -1$
finally ... $y_0 = -... | 5 | [
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0.021240234375,
-0.03369140625,
0.1015625,
-0.00445556640625... | 37,764 | 37764 | |
Math Help
March 7th 2007, 02:17 PM #1
Newbie
Joined
Jan 2007
Posts
14
lcm
whats the LCD of both of these fractions, and what is the equivalent fraction for each fraction? is it <, >, = please help
7/12, 11/18
- 11/20, - 22/40
15/28, 4/7
5/17, 15/51
whats the LCM of the nu... | 4 | [
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0.0322265625,
0.00927734375,
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-0.033203125,
0.006134033203125,... | 37,765 | 37765 | |
Help!!!! I need help!!!
June 8th 2006, 04:36 PM #1
Newbie
Joined
Jun 2006
Posts
16
Help!!!! I need help!!!
Past records show that at a given college 20% of the students who began as psychology majors either changed their major or dropped out the school. An incoming class has 110 beginning psychology
... | 5 | [
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-0.0... | 37,766 | 37766 | |
Trace Determinant
up vote 4 down vote favorite
3
Let $A$ be an $n \times n$ matrix. Are there formulas that convert linear combinations of traces of powers of $A$ to determinant of $A$ and vice versa from linear combinations of determinants of
powers of $A$ to trace of $A$? (I am mainly looking for the latter - conver... | 4 | [
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0.04296875,
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... | 37,767 | 37767 | |
For an approach to the Hadamard-matrix-problem: is there a proof, that the iterative plane-wise orthogonal rotations (Quartimax/Varimax) converge to global maximum?
up vote 4 down vote favorite
I've asked this question at stat-exchange and at the "Semnet"-mailing list of professionals in statistics. The reference to s... | 4 | [
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0.0478515625,
-0.03369140625... | 37,768 | 37768 | |
An equation of the line containing the given point and perpendicular to the line
May 12th 2011, 09:28 AM
jay1
An equation of the line containing the given point and perpendicular to the line
I need help with the steps and solving for an equation of the line containing the given point and perpendicular to the lin... | 4 | [
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0.050048828125,
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0.07666015625,
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0.033935546875,
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0.10986328125,
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0.03735351562... | 37,769 | 37769 | |
Algorithms Part 2 of 3 Algorithms
Algorithms, Part 2 of 3
Topics
• Problem Solving Examples
• Pseudocode
• Control Structures
Reading
• Section 3.1
CMSC 104, Version 8/06 L05Algorithms2.ppt 1
Problem... | 4 | [
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0.072265625,
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0.0... | 37,770 | 37770 | |
12.1 - Exponents
Section 3.3 discussed integer exponents. This section continues from there and explains non-integer exponents. We saw that if n is a natural number (i.e. 1, 2, 3, …) then the exponential b^ n is
defined to mean multiplying b by itself n times, like this: The number b is called the base, n is called th... | 4 | [
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-0.10156... | 37,771 | 37771 | |
Positive subspaces of quadratic forms
up vote 0 down vote favorite
here's my question:
Let $V$ be a k-dimensional vector space over $\mathbb{R}$ and $q$ a quadratic form on $V$ of signature $(m,n)$ , $m+n=k$.
We have $W\subset V$ a positive (with respect to the quadratic form, of course) subspace of dimension $m-1$.... | 5 | [
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0.0810546875,
0.01025390625,
-0.006988... | 37,772 | 37772 | |
Name for topology making group action continuous
up vote 3 down vote favorite
Fix a set $X$ with right $G$-action. Give $X$ a topology $\tau$ and make $G$ a topological group. (These topologies need not make the action continuous).
We can define another topology $\tau'$ on $X$ as the largest topology making the actio... | 4 | [
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0.0172119140625,
0.03369140625,
0.002197265625... | 37,773 | 37773 | |
A question regarding simultaneous congruences
up vote 5 down vote favorite
I am not sure if this problem is of the appropriate difficulty for math overflow, but here it is.
Suppose we are considering pairs $(x,y)$ with $1 \leq x,y \leq p-1$ for some prime $p$. As points over $\mathbb{F}_p^2$, we can define the usual ... | 5 | [
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What manifolds are bounded by RP^odd?
up vote 21 down vote favorite
13
Real projective spaces ℝP^n have ℤ/2 cohomology rings ℤ/2[x]/(x^n+1) and total Stiefel-Whitney class (1+x)^n+1 which is 1 when n is odd, so it follows that odd dimensional ones are boundaries of
compact (n+1)-manifolds. My question is: are there an... | 5 | [
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0.01... | 37,775 | 37775 | |
rate of change
March 2nd 2008, 12:57 AM #1
Junior Member
Joined
Feb 2008
Posts
49
rate of change
What is the rate of change of the function f(x,y)= ln( square root( x^2 + y^2)) at (0, square root(e)) in direction towards the origin?
Directional derivative:
$abla f \cdot \hat{l}$ where $\hat{l}$... | 5 | [
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-0.072265625,
... | 37,776 | 37776 | |
Can a coequalizer of schemes fail to be surjective?
up vote 11 down vote favorite
7
Suppose $g,h:Z\to X$ are two morphisms of schemes. Then we say that $f:X\to Y$ is the coequalizer of $g$ and $h$ if the following condition holds: any morphism $t:X\to T$ such that $t\circ g=t\circ
h$ factors uniquely through $f$. The ... | 4 | [
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0.091796875,
0.040283203125,
0.076171875... | 37,777 | 37777 | |
hard proof- gamma distribution
October 29th 2010, 05:18 AM #1
Member
Joined
Nov 2008
From
MD
Posts
165
hard proof- gamma distribution
if X is an exponential random variable with mean 1/lambda, show that the expected value of x^k = k!/lambda^k
Hint: make use of the gamma density function
The ... | 4 | [
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-0... | 37,778 | 37778 | |
continuous distribution
September 27th 2006, 04:11 AM #1
Senior Member
Joined
Jul 2006
Posts
364
continuous distribution
X is a random variable with probability density function defined as:
f(x) = {
2sin(4x), a <= x <= b
0, elsewhere
}
find a and b?
You know that the value your... | 4 | [
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-0.10742... | 37,779 | 37779 | |
129 coins
October 30th 2009, 11:24 AM #1
Member
Joined
Apr 2009
Posts
190
129 coins
There is a pile of 129 coins on a table, all unbiased except for one which has heads on both sides. David chooses a coin at random and tosses it eight times. The coin comes up
heads every time. What is the probability... | 5 | [
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0.076171875,
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-0.01196... | 37,780 | 37780 | |
pre algebra question
May 7th 2005, 03:53 PM #1
christie
Guest
hi im new in 8th grade..need some homework help
write the equation of the axis of symetry and find the coordinates of the vertex of the graph of each equation
12.y=-3x^2 +4
y=3(x+1)^2 -20
y=-3x^2+4
y=3x^2+6x-17
y=-x^2+2x... | 4 | [
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0.04248046875,
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0... | 37,781 | 37781 | |
Prove that set of all functions from R to R has multiplication distributive:Question?
February 25th 2013, 02:43 PM
x3bnm
Prove that set of all functions from R to R has multiplication distributive:Question?
Suppose $\mathfrak{F}(\mathbb{R})$ represents the set of all the functions from $\mathbb{R}$ to $\mathbb{R... | 5 | [
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-0.055419921875,
0.06... | 37,782 | 37782 | |
Random Alternating Permutations
up vote 19 down vote favorite
3
An alternating permutation of {1, ..., n} is one were π(1) > π(2) < π(3) > π(4) < ... For example: (24153) is an alternating permutation of length 5.
If $E_n$ is the number of alternating permutations of length n, the $\sec x + \tan x = \sum_{n \geq 0} E... | 4 | [
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Projecting the unit cube onto subspaces
up vote 8 down vote favorite
2
Given a set $S$ of non-zero vectors in $\mathbb{R}^n,$ and a subspace $L,$ consider $f(S,L)=\max_{s \in S}\frac{\|Ps\|_2}{\|s\|_2}$ where $Ps$ is the orthogonal projection of $s$ onto $L.$
Specifically, consider the set $X$ consisting of the $2^n-... | 5 | [
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two cubes
February 19th 2007, 04:14 AM #1
Newbie
Joined
Dec 2006
Posts
5
two cubes
The combined hieghts of two cubes are 11 metres and there combined volumes equal 407 cubic metres calculate the dimensions of each cube. need working out pleasee.
Hello, ASSC!
There is a very sneaky way to solve ... | 4 | [
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Profit Loss & Discount Problems
May 16th 2010, 11:36 PM #1
Member
Joined
Nov 2009
Posts
78
I am a 13 year old kid. I have got 2 problems relating to profit, loss & discount which I am not able to solve. Can someone please help me out with the 2 problems? Here are they:
1. How much per cent above the ... | 4 | [
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0.064453... | 37,786 | 37786 | |
The Perimeter of an Ellipse or Oval
Associated Topics || Dr. Math Home || Search Dr. Math
The Perimeter of an Ellipse or Oval
... | 5 | [
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Outer Measure
July 23rd 2009, 11:51 PM #1
Outer Measure
So one of the axioms of outer measure is the following:
Countable subadditivity axiom: If $A = \bigcup_{n=1}^{\infty} A_n$ then $m^{*}A \leq \sum_{n=1}^{\infty} m^{*}A_n$.
Well it's not really an axiom since we want/have to prove it. But what is th... | 4 | [
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eek
September 30, 1996
This Week's Finds in Mathematical Physics (Week 90)
John Baez
If you've been following This Week's Finds, you know that I'm in love with symmetry. Lately I've been making up for my misspent youth by trying to learn more about simple Lie groups. They are,
roughly speaking, the basic building bl... | 4 | [
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MMM =
Larry Bush September 28, 2001
email: bushl2@rpi.edu, Lawrence_Bush@dps.state.ny.us
Student ID: 660 220 742
Home Work 2 - Computability and Complexity (CSCI-6050)
Instructor: Prof. Goldberg
p1 sort of si... | 5 | [
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0.01354980... | 37,790 | 37790 | |
Derivative of arctan(x/y)
Trying to figure out the derivative of arctan(x/y) Thank you Very much ViperRobK
it is a function of 2 independent variable and derivative with respect to x sorry for the lack of detail
Think i figured it out if someone could confirm $\frac{y-\frac{dy}{dx}}{y^2+x^2}$
if we take the partial ... | 5 | [
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0.0240478515625... | 37,791 | 37791 | |
Derivative of cos(ln(x))
November 10th 2011, 02:47 PM
Barthayn
Derivative of cos(ln(x))
My next question is how do you take the derivative of cos(lnx). This is what I do:
let u = lnx
f'(x) = u'(-sinu)
f'(x) = -1/x(sin(lnx))
When I check to see if I am write, I get the wrong answer. :S
November... | 5 | [
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Equation needs URGENT checking
February 21st 2010, 02:21 AM #1
Member
Joined
Oct 2009
Posts
107
Thanks
2
Equation needs URGENT checking
Hello, i was preparing for a test i have tomorrow so was doing review questions in my text book. I came across this one question where i knew what to do but got the ... | 4 | [
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Quadratic Equations
April 24th 2009, 08:26 AM
Sailee316
Quadratic Equations
Hi. Here I have questions for my assignment about solving quadratic equations using different methods. I have only ever done a few questions on quadratic equations and I dont't understand them.
5. Solve by factorisation:
(a) x... | 4 | [
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First order ODEs
October 2nd 2011, 01:12 AM
JohnDoe
First order ODEs
Greetings, I have a few differential equation questions and I began to take this course at the beginning of this semester so I might have been doing obvious mistakes.These questions are from
Ross, Differential Equations 1st edition chapter ... | 5 | [
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The Hexagonal Property of Pascal's Triangle
up vote 0 down vote favorite
Any hexagon in Pascal's triangle, whose vertices are 6 binomial coefficients surrounding any entry, has the property that:
• the product of non-adjacent vertices is constant.
• the greatest common divisor of non-adjacent vertices is constan... | 5 | [
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Volume of the solid - one more
November 1st 2013, 06:33 AM
dokrbb
Volume of the solid - one more
I want to make sure I understand and vizualise it right - Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=x, y = 0, x = 2, and x=4
about the line x = 1... | 4 | [
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Solvability of a nonlinear elliptic equation
up vote 2 down vote favorite
1
Hi, let $\Omega \subset R^3$ be a bounded smooth domain, consider the elliptic equation $$-\triangle u + u^2div u = f, \quad x \in \Omega, \quad u\big|_{\partial \Omega} = 0.$$ Here the force $f \in
L^2$, and $div u = \sum_j \partial u/\partia... | 5 | [
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Initial condition problem
March 26th 2008, 10:35 AM
tttcomrader
Initial condition problem
y''-2y'+2y=x+1, y(0) = 3, y'(0)=0
I haven't done this in some time, please help.
I know I need to find the homogenous solution and add it to a particular solution.
Homogenous:
$r^2-2r+2 = 0$
So $r =... | 5 | [
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... | 37,799 | 37799 |