content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Stochastic processes #2
March 30th 2010, 09:47 PM #1
Junior Member
Joined
Oct 2008
From
Dallas, TX
Posts
71
Stochastic processes #2
On the average, Mr. Z drinks and drives once in 4 years. He knows that
According to the laws of his state, the third time when he is caught drinking and driving res... | 5 | [
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-0.095703... | 35,400 | 35400 | |
Zack's Mom Knows
Zack’s Mom Knows
January 25, 2014
A puzzle with a story
Dick Karp needs no introduction. So I will give him none. Okay I will say that it has been an honor to know him for many years—we met right after I graduated from CMU, a pleasure to work with him on
a few projects, and always fun to see.
Toda... | 5 | [
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Constructing Tangents to Circles
Date: 05/08/2002 at 23:32:23
From: Little
Subject: tangent lines
How do you construct a line tangent to a circle through a point
outside the circle? And how do you construct a line tangent to a
circle through a point outside the circle using only a
straightedge?
Date: 05/09/2002 at... | 4 | [
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Conservation of Momentum
November 1st 2009, 02:07 PM #1
Conservation of Momentum
A railroad flatcar of weight 7840 N can roll without friction along a straight horizontal track. Initially, a man of weight 596 N is standing on the car, which is moving to the right with speed
25 m/s; see the figure. What is the... | 4 | [
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Diagonalization of a matrix of differential operators
up vote 0 down vote favorite
Dear community,
i have a question regarding differential operators acting on vector valued functions and how to "diagonalize" them.
To explain my question i will use an example: Let $V^k$ be the space of twice differentiable functions... | 5 | [
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Quadratic Trinominals
August 26th 2010, 04:01 AM #1
Newbie
Joined
Aug 2010
From
England - Birmingham
Posts
6
Hey everyone, I know this is probably basic for you but I really can't understand this.
This is the lesson I've been following.
Factoring Quadratic Trinomials by MATHguide
I have ... | 4 | [
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semilocal total quotient ring whose J(R) is not zero
up vote 1 down vote favorite
1
I am interested in rings in which every non-unit is a zero divisor. Can you give me an example of such a ring that also has FINITELY many maximal ideals (semilocal), and whose Jacobson radical is not
zero? Thanks
P.S. There is a quest... | 5 | [
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Finding the Area of Squares and Triangles
Date: 06/20/99 at 22:06:00
From: Sky
Subject: I just don't get area
Hi -
Could you please explain area to me?
Sincerely,
Sky
Date: 06/21/99 at 18:19:16
From: Doctor Rick
Subject: Re: I just don't get area
Hi, Sky.
You have asked a broad question. I don't know just what... | 4 | [
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Divisibility Word Problem
Date: 1/27/96 at 0:35:42
From: Anonymous
Subject: HELP
Dear Dr.Math,
Slow as it may sound, I've been trying to solve this problem for a
year now with nil result. Could you help me?
Here goes the problem:
Arrange the digits 0 to 9 such, that the number formed by the
first digit is divisib... | 4 | [
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[SciPy-dev] reimplementation of lfilter
Sturla Molden sturla@molden...
Tue Sep 22 20:01:53 CDT 2009
Ralf Gommers skrev:
> Sure, I know. The docs I linked have improvements over svn. If you
> merge your changes, there'll be a conflict and those docs will not get
> merged soon - I was hoping to avoid that.
Oh, the d... | 4 | [
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Square root of a positive $C^\infty$ function.
up vote 28 down vote favorite
11
Suppose $f$ is a $C^\infty$ function from the reals to the reals that is never negative. Does it have a $C^\infty$ square root? Clearly the only problem points are those at which $f$ vanishes.
real-analysis
5 A natural extension of th... | 5 | [
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Is every real n-manifold isomorphic to a quotient of $\mathbb{R}^n$?
up vote 15 down vote favorite
4
I'm curious about the following: Is every real $n$-manifold isomorphic to a quotient of $\mathbb{R}^n$?
Thanks.
EDIT: As Tilman points out, the manifold should be connected. Also, yes, I'm thinking about topological ... | 5 | [
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Uniformly Sampling from Convex Polytopes
up vote 5 down vote favorite
3
How to choose a point uniformly from a convex polytope $P \subset [0,1]^n$ defined by some inequalities, Ax < b ? (Here A is an m-by-n matrix, x is n-by-1 and b is m-by-1.) I imagine that you could
start with a uniformly chosen point in the cube a... | 5 | [
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need to check logical equivalence
September 4th 2011, 11:47 AM
issacnewton
need to check logical equivalence
Hi
I am reading "Introduction to Set theory" by J.Donald Monk and while going through
some theorem there, I needed the following equivalence.
$(p\Leftrightarrow q)\wedge (r \Leftrightarrow q... | 4 | [
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What vector space does the Kauffman bracket skein algebra of FxI act on?
up vote 4 down vote favorite
The Kauffman bracket skein module $K_t(F\times I)$ (where $t$ is an indeterminant and $F$ is a closed surface) is an associative algebra (the operation being "stacking" links in the $I$ direction).
It is a quantum def... | 5 | [
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Cyclic Group
March 29th 2012, 06:31 PM #1
Newbie
Joined
Dec 2011
From
Hong Kong
Posts
15
Cyclic Group
Let $G=${ $f|f:\mathbb{N}\rightarrow\mathbb{Z}_2$} and clearly G is a group under usual addition of functions. Show that each eleemnt of G is of finite order. Moreover, show that G is a group of
... | 4 | [
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Divisibility (gcd) 8
Show that: $m,n ,a \in \mathbf{Z^{+}}$ and $a>1$ $\Rightarrow (a^{m}-1 , a^{n}-1)=a^{(m,n)}-1$
Let $(m,n) = d$ and $(a^m - 1, a^n -1) = l$ $d|m \Rightarrow a^d - 1 | a^m - 1$ $d|n \Rightarrow a^d - 1 | a^n - 1$ Thus $a^d - 1 | l$. -----------------(1) By Bezout's identity we know that there
exists... | 5 | [
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Finding the Area of an Irregular Polygon
Date: 02/23/2008 at 04:13:50
From: dIonAtHan
Subject: finding the area of irregular polygon
What is the formula for finding the area of an irregular polygon?
Date: 03/16/2008 at 21:51:46
From: Doctor Ali
Subject: Re: finding the area of irregular polygon
Hi!
Thanks for wr... | 4 | [
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Review Question
December 30th 2009, 02:27 PM #1
Super Member
Joined
Dec 2008
Posts
509
Review Question
Hi
I have some question i am having trouble with:
1)If the angle between the lines which passes through the points (-2,3) and (4,0) is:
A $2y=x+4$
B $y=\frac{-x}{2}-2$
C $2y+x=4$
... | 5 | [
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please solve
October 8th 2008, 06:22 AM
rickymylv
please solve
Please solve this question using heron's formula..
The perimeter of an isosceles triangle is 42cm and its base is (3/2)times each of the equal sides.Find the length of each side of the triangle,area of the triangle and height of the triangle.
O... | 4 | [
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Are packing-homogeneous spaces homogeneous?
up vote 9 down vote favorite
3
Given a metric space (M,d) define the packing function P(x,R,r) to be the maximum number of non-intersecting balls of radius r with centers in the ball B(x,R). Let’s call M packing-homogeneous if the
packing function is independent of the base ... | 5 | [
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CCC + collectionwise normality => paracompact?
up vote 2 down vote favorite
Is there a CCC and collectionwise normal space, that isn't paracompact?
As we know, CCC + monotone normality => lindelof.
CCC + collectionwise normality => paracompact?
CCC = countable chain condition
Collectionwise normality = if X is a... | 5 | [
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why am i blanking so hardcore? -stats
March 19th 2009, 01:38 PM #1
Junior Member
Joined
Aug 2008
From
Chicago, IL
Posts
73
why am i blanking so hardcore? -stats
let X(bar) be the mean of a random sample of size n=10 from a distribution with pdf f(x) = 6x(1-x) for 0<x<1. Find the mean and the variance... | 4 | [
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Posts about probability on Lucky's Notes
Probabilities of a slightly altered dice
August 9, 2010
In art class a few months ago, I made a dice out of clay. This dice isn’t quite your typical dice. Its structure is tampered with ever so slightly, so that just $\frac{1}{64}$ of the material is
removed.
Let us model thi... | 5 | [
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Sphere inside a cone problem.
July 4th 2007, 11:57 AM
Patrick_John
Sphere inside a cone problem.
I'm taking a test soon, the next problem is one of which I'll be facing on it, and I would like to ask you guys to help me know how to solve it, as well as which is what I need to study in order
to solve alike pr... | 5 | [
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n*2^n = 2^53 HOw to solve?
n*2^n = 2^53 HOw to solve for n?? thank you
Formula iteration will solve this with a bit of cunning: Rewrite the equation as: n=ln[(2^55)/n]/log(2) Then iterate: n(r+1)=ln[(2^55)/n(r)]/log(2) where n(r) is the r-th iterate. Then with n(0)=1,
we get: n(1)=53, n(2)=47.2721, n(3)=47.4371, n(4)... | 5 | [
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Topic: Logarithm Algorithm Questions
Replies: 2 Last Post... | 5 | [
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0.125,
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How much of a variety can be reconstructed from codimension-zero data?
up vote 13 down vote favorite
2
This is an improved version of this question. Maybe it should be an edit -- I'm not sure what the MO convention is.
I'm curious, more or less, how much information one can get out of the derived category of coherent... | 4 | [
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0.021240234375,
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0.0025634765625,
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0.06640625,
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-0.03125,
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-0.0264892578125,
-0.04736328125,
0.0284423828125,
-0.0101318359375,
0... | 35,427 | 35427 | |
Triangular Plot
November 19th 2008, 06:15 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Triangular Plot
A surveyor is mapping a triangular plot of land. He measures two of the sides and the angle formed by these two sides and finds that the lengths are 400 yards and 200 yards and the inc... | 4 | [
0.064453125,
0.052978515625,
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0.078125,
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0.06884765625,
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Convolution and multiplication in time and frequency domains.
up vote -1 down vote favorite
Knowing that the convolution operation (*), when defined, is commutative, associative and distributive with respect to addition, what happens with multiplication (.) in both time and frequency
domains? Example:
y(t) = [a(t).b(... | 4 | [
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... | 35,429 | 35429 | |
[SOLVED] Metric Space and Inequality
July 31st 2008, 08:28 AM
Paperwings
[SOLVED] Metric Space and Inequality
Problem:
For any two functions f and g in C([0,1],R), define
http://dammserv.loopback.nu/latex/im...731_6dd3z2.png
a. Prove that this defines a metric on C([0,1],R)
b. Prove that the foll... | 5 | [
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0.0625,
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x^2 y'' - 5x y' - 7y = x^3
November 29th 2011, 09:18 AM #1
Super Member
Joined
Nov 2008
Posts
597
x^2 y'' - 5x y' - 7y = x^3
The question asks me to solve x^2 y'' - 5x y' - 7y = x^3 as function of x. In other words, it's asking for y(x). I am given the initial conditions y(1) = 10 and y'(1) = 8.
Som... | 5 | [
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-0.009948730... | 35,431 | 35431 | |
vectors - prove shape is a parallelogram
January 22nd 2014, 03:42 AM #1
Super Member
Joined
Sep 2008
Posts
607
vectors - prove shape is a parallelogram
I know I have to show that two sides are equal and in order to prove this is a parallelogram, however I am not sure which sides to pick ?
i.e.
... | 4 | [
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0.0... | 35,432 | 35432 | |
Urgent Help Needed
November 18th 2007, 05:10 PM
cheyanne
Urgent Help Needed
Hello all:
I could really use some help with two problems:
1. A steel band is stretched tightly around the center of the Earth (the radius of the Earth is 6400 km). Then supposed the wire is cut and its length is increased by 2... | 4 | [
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-0.0... | 35,433 | 35433 | |
Find all pairs of positive integers a and b such that...
July 5th 2005, 04:33 AM
cornoth
Find all pairs of positive integers a and b such that...
Once again I am stuck on a question. Thanks as always.
Find all pairs of positive integers a and b such that...
a^2 + b^2 - 7 = ab
I've done this:
a... | 4 | [
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0.06103515625,
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-0.038085... | 35,434 | 35434 | |
Proof: Addition of vector makes the set remain linearly independent
October 4th 2009, 08:49 AM #1
Newbie
Joined
Sep 2009
Posts
11
Proof: Addition of vector makes the set remain linearly independent
Let's say $u_{1}, u_{2}..., u_{k}$ are linearly independent vectors in $R^n$.
Suppose $u_{k+1}$ is a v... | 5 | [
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-0.0... | 35,435 | 35435 | |
Rectangular Solids from Blocks
Date: 09/25/98 at 02:43:32
From: David Purins
Subject: Rectangular Solids made from "n" blocks?
I am a mathematics teacher in Alice Springs (Central Australia). I
have set a maths project, the solution to which evades me.
How many rectangular solids can be made from "n" cube shaped bl... | 5 | [
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0.0290527343... | 35,436 | 35436 | |
surface area find function
February 26th 2007, 06:36 PM #1
supermanismyhero
Guest
surface area find function
the question: a box with a volume of 5000. the base is a squre. find the surface are
i tired it and got 2x^2+20000/x but someone told me it was 2x^2+40000/x
please help by finding the answer. tha... | 4 | [
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Conditions on a unit vector field to be the Gauss map of some surface immersed in R^3?
up vote 6 down vote favorite
3
Let $U$ be a bounded domain in $R^2$ and let $n : U \to S^2$. Which (necessary/sufficient) conditions must $n$ satisfy in order that there exist an immersion $f : U \to R^3$ such that $n(x)$ is the
nor... | 5 | [
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0.01... | 35,438 | 35438 | |
Partial Fractions
July 13th 2008, 10:55 PM #1
Newbie
Joined
May 2008
Posts
9
Partial Fractions
Can someone help me with this question?
1. Using the result $x^3 + 1 = (x+1)(x^2 - x + 1)$, express $\frac{x^5 - 1}{x^2(x^3 + 1)}$ in partial fractions.
I do arrive to this stage of the problem yet i'... | 4 | [
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... | 35,439 | 35439 | |
The approximation to perturbed KdV Equation
up vote 1 down vote favorite
Consider the perturbed KdV Equation $$u_t-6uu_x+u_{xxx}=\epsilon u$$,I want to use perturbative expansion to construct the solution as the form $$u=u(x,t;\epsilon)=\sum_{n=0}^\infty\epsilon^n u_n
(x,t)$$ The following is my question:
1.Does ther... | 4 | [
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-0.0380859375,
-0.027... | 35,440 | 35440 | |
Continuous cohomology of semi-simple Lie group.
up vote 5 down vote favorite
4
Let $G$ be a real connected semi-simple Lie group. Let $M$ be a finite dimensional representation of it. Are there general criteria when the continuous cohomology groups $H_{cont}^q(G,M)$ vanish?
A situation of particular interest for me i... | 5 | [
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0.037597656... | 35,441 | 35441 | |
Simplifying an Algebraic Fraction
Associated Topics || Dr. Math Home || Search Dr. Math
Simplifying an Algebraic Fraction
... | 4 | [
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... | 35,442 | 35442 | |
The Angles of a Tetrahedron
Date: 07/08/98 at 16:04:20
From: Bryan J.
Subject: The tetrahedron
Hello Doctors,
If I'm not mistaken, the tetrahedron is a 3-D object that has
equilateral triangles as its four faces. The angle from one vertex to
the exact center of the tetrahedron to another vertex is around
109.5 degr... | 5 | [
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Reachability for Markov process
up vote 1 down vote favorite
Let $X$ be a Markov process (in continuous or discrete time) and define an event $$ R(T,A) = (\exists t\leq T: X_t \in A). $$ I have seen in one paper that $$ \Pr[R(\infty,A)] = \sup\limits_{\tau} \
mathbb{E}[I_A(X_\tau)], $$ where $I_A(x) = 1$ for $x\in A$ ... | 5 | [
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0.0634765625,
-0.04345703125,
-0.01... | 35,444 | 35444 | |
Symbolic Logic Problem (Urgent)
December 13th 2008, 09:58 PM
dsljrich
Symbolic Logic Problem (Urgent)
I need urgent help with this problem!
I have shown how far I got with it, but now I'm stuck, I dont know what to do next. Someone Please help me out.
∃xMxa & ∀x(Mxa →Kxa); ∀y(Kya → (y =b v y = c)) ∴ ¬Kb... | 4 | [
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0.0162353515625,
0.035400390625,
0.1513671875,
-0.060302734375,
0.0006713... | 35,445 | 35445 | |
Maximizing Sparsity in l1 Minimization?
up vote 3 down vote favorite
1
Consider the optimization problem
$$\min_x ||Ax||_1 + \lambda||x-b||^2,$$
where $A \in \mathbb{R}^{n \times n}$, $x,b \in \mathbb{R}^n$ and $\lambda$ is strictly greater than 0. (This problem is closely related to the "lasso" problem in basis pur... | 5 | [
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0.0966796875,
0.1279296875,
-0.087890625... | 35,446 | 35446 | |
Convex upper bound on a linear-fractional function
up vote 2 down vote favorite
I have a function of the form $f(x,y) = \frac{x}{c+y}$ where $c$ is a positive constant, $c \ge x \ge 0$, and $y \ge 0$. I would like to find a convex upper-bound for this function. Is there a
principled way for doing this? How about if th... | 5 | [
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-0.0520... | 35,447 | 35447 | |
Introducing the Maths Toolbox - Edgalaxy
Kevin Cummins
www.edgalaxy.com
• The maths toolbox is a set of strategies that students can put
into place to solve mathematical problems.
• The purpose of the maths toolbox is to demonstrate to students
that there ... | 4 | [
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0... | 35,448 | 35448 | |
Disjoint Sets and the Addition Rule
1. The Addition Rule for Disjoint Sets.
a. If a finite set S equals the union of n distinct and mutually disjoint subsets, then the number of elements in A equals the sum of the numbers of eleme... | 5 | [
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0.0136108... | 35,449 | 35449 | |
Solving Algebraically - Simultaneous equations.
May 14th 2009, 11:39 AM #1
Senior Member
Joined
Feb 2008
Posts
383
Solving Algebraically - Simultaneous equations.
Solve Algebraically - These Simultaneous equations. Here is what I've done so far, please correct me if i'm wrong as always.
x^2+(3x-2)(3... | 4 | [
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-0.00958251953125,
0.0130615234375,
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0.08984375,
0.00701904296875,
0.032958984375,
0.07958984375,
-0.0245361328125,
0.0869140625,
0.0103759765625,
0.0... | 35,450 | 35450 | |
epsilon tube around continuous path in open set in R^n
up vote -1 down vote favorite
1
This may have a simple answer, but I'm not getting anywhere.
If $U$ is an open set in $\mathbb{R}^n$ (usual topology), and $p:[0,1] \to U$ is a continuous path, from $x=p(0)$ to $y=p(1)$, with $x,y \in \mathbb{R}^n$, then can we fi... | 5 | [
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0.000926971435546875,
0.0291748046875,
-... | 35,451 | 35451 | |
equation of line ...
January 15th 2011, 11:01 PM #1
Member
Joined
Apr 2009
From
Jerusalem - Israel
Posts
108
equation of line ...
Find the equation of line that passes through (6,8)
and make with both axes a triangle with minimum area.
My try:
let the equation be y=mx+b
area = 1/2 xb... | 5 | [
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0.0296630859375,
-0.0012054443359375,
0.0390625,
0.1650390625,
-0.044677734375,... | 35,452 | 35452 | |
Intergrating Factors
March 15th 2010, 11:22 AM
jamm89
Intergrating Factors
Been struggling to get started on this for hours.
The temperature of an object at time t is found from the equation
$\frac{d\theta}{dt}$+ 0.1θ = 5 - 2.5t
Given that when t=0, temperature is 60˚C. find the temperature when t=2 ... | 5 | [
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0.06494140625,
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0.048583984375,
-0.06396484375,
-0.026245117187... | 35,453 | 35453 | |
[SciPy-User] Problem with combining Fsolve and Integrate.Odeint
Warren Weckesser warren.weckesser@enthought....
Tue Oct 13 10:44:42 CDT 2009
Hi Johann,
You can do what you want by using the `args` argument of both fsolve and
odeint.
I have rewritten your example to do use `args`, and made several other
changes that... | 5 | [
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0.0028076171875,
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0.008... | 35,454 | 35454 | |
An interview question: About Probability
up vote 28 down vote favorite
27
An interview question:
Given a function f(x) that 1/4 times returns 0, 3/4 times returns 1. Write a function g(x) using f(x) that 1/2 times returns 0, 1/2 times returns 1.
My implementation is:
function g(x) = {
if (f(x) == 0){ // 1/4
... | 5 | [
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0.015625,
0.023193359375,
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-0.010986328125,
0.0255126953125,
0.019... | 35,455 | 35455 | |
(Discrete Mathmatics) Defining a relational set
March 7th 2009, 02:49 PM
BSC hiBi
(Discrete Mathmatics) Defining a relational set
The problem is this:
Let A be the set of integers and let n be a fixed positive integer. Define a relation on A be saying xRy if n divides x - y or x + y.
Just giving an exa... | 4 | [
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0.023193359375,
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0.10546875,
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0.00201416015625,
0.04541015625,
-0.01... | 35,456 | 35456 | |
Cohomology of a cochain complex of acyclic sheaves
up vote 1 down vote favorite
Ok, sort of as a follow up to my previous question, let's recall the de Rham-Weil theorem: Let $F$ be a sheaf on a topological space $X$ and let $\mathcal{L}^{\bullet}$ be an acyclic resolution of
$F$. Then $H^{q}(X,\mathcal{F}) \cong H^{q... | 4 | [
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-0.022705078125,
-0.1064453125,
-0.001846313476... | 35,457 | 35457 | |
Voltage Change
October 1st 2011, 04:28 PM
mgwalker
Voltage Change
The voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR, where I is the current (in amps) flowing through the circuit and R is the resistance (in ohms). If we place two
circuits, with resistance R1 and R2, in parallel, then t... | 4 | [
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0.035400390625,
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0.03125,
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0.11767578125,
-0.0033416748046875,
0.056884765625,
0.025390625,
0.0654296875,
... | 35,458 | 35458 | |
Linear Programming Help
September 25th 2013, 01:15 PM #1
Newbie
Joined
Dec 2011
Posts
2
Linear Programming Help
Now I don't need you guys to do my homework for me; however, I am a little stumped
Xara Stores in Canada imports the designer-inspired clothes it sells from suppliers in China and Brazil. ... | 4 | [
0.033203125,
-0.00119781494140625,
0.0615234375,
0.01007080078125,
0.01275634765625,
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-0.00145721435546875,
0.004547119140625,
-0.1328125,
0.05908203125,
0.103515625,
-0.08837890625,
-0.00848388671875,
0.0235595703125,
0.0067138671875,
0.06396484375,
-0.019775390625,
... | 35,459 | 35459 | |
which number is larger?
July 28th 2010, 05:41 AM
sfspitfire23
which number is larger?
Fellas, I have a question regarding quantitative comparisons.
Say we have, in column A, (78)(243) and in column B, (77)(244).
I'm asked to determine which is larger.
Is it a good strategy to pick out the first tw... | 5 | [
0.07763671875,
0.0262451171875,
-0.09716796875,
-0.09326171875,
-0.01123046875,
0.008056640625,
-0.0250244140625,
0.07080078125,
-0.048583984375,
0.002044677734375,
-0.0810546875,
0.0576171875,
0.0257568359375,
-0.00494384765625,
0.06005859375,
0.0067138671875,
-0.01385498046875,
-... | 35,460 | 35460 | |
Dividing into even groups
September 8th 2009, 08:29 PM
jfz23
Dividing into even groups
I took an intro to probability class last semester and the first week of the intermediate class is a little review. I don't remember too much so can someone confirm to see if this is right?
There are nine indistinguishabl... | 4 | [
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0.0111083984375,
-0.0179443359375,
-0.07080078125,... | 35,461 | 35461 | |
Finding the codomain of a monoid homomorphism
up vote 4 down vote favorite
1
We have a monoid M, and a function $f: M \rightarrow \{0, 1\}$. We're promised that this function factors through a (surjective) homomorphism to a finite abelian group (considered as a commutative
monoid), $M \rightarrow G \rightarrow \{0, 1\... | 4 | [
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0.0225830078125,
-0.03... | 35,462 | 35462 | |
Completing the square
December 20th 2009, 09:26 AM #1
Junior Member
Joined
May 2009
Posts
28
Completing the square
solve the following quadratic equation , solution in the form $a \pm b \sqrt{n}$
a) $2x^2 -3x -3 = 0$
b) $3x^2 -6x +1 = 0$
thanks
ps : for a i got completely messed up.
... | 4 | [
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0.0419921875,
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-0.0466308593... | 35,463 | 35463 | |
Parallel Resistor Calculator R1 + R2 = equivalent resistor R resistance circuit equiv total resistor finder made easy piggyback = parallel - sengpielaudio Sengpiel Berlin
R[total] Formula:
R[total] = R1×R2/(R1+R2)
Please enter two resistor va... | 4 | [
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0.015625,
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-0.1015625,
0.07373046875,
... | 35,464 | 35464 | |
Sum of products of p-th powers of roots of 1 and monomial symmetric functions
up vote 6 down vote favorite
3
Hello mathematicians, i'm looking for explicit computations of expressions like $$ \sum_{\substack{0\leq i,j,k<n\\i\neq j\neq k \neq i}}\zeta_n^{ip^{k_1}+jp^{k_2}+kp^{k_3}} $$ and its
generalizations, where $p$... | 5 | [
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0.034423828125,
-0.01214599609375,
-0.0439453125,
-0.07421875,
0.006378173828125,
0.036865234375,
-0.03271484375,
-0.00518798828125,
0.03564453125,
-0.01708984375,... | 35,465 | 35465 | |
Orlando Presentation
--------------------------------------------------------------------------
2. PERIODS OF DECIMALS (the real problem)
--------------------------------------------------------------------------
Most math students know the decimal for any rational
number, m/n, will repeat. F... | 5 | [
-0.07080078125,
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0.01519775390625,
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0.024658203125,
0.07421875,
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-0.00848388671875,
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0.018310546875,
0.0888671875,
0.0322265625,
-0.09423828125,
-0.030029296875,
0.0053... | 35,466 | 35466 | |
Additive functors preserving quasi-isomorphism
up vote 1 down vote favorite
1
Let $F: \mathcal{A} \rightarrow \mathcal{B}$ be an additive functor between abelian categories (with enough injectives and projectives) and $K^\cdot, L^\cdot$ objects of $\textrm{Ch}(\mathcal{A})$.
Suppose $F$ is left (resp. right) exact. Th... | 4 | [
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0.007293701171875,
0.09521484375,
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-0.034912109375,
0.0015869140625,
0.04345703125,
0.07373046875,
-0.0908203125,
-0.041748046875,
0.046142578125,
0.0703125,
0.031005859375,
-0.043701171875,
0.060791015... | 35,467 | 35467 | |
RSA Algorithm Example
• Choose p = 3 and q = 11
• Compute n = p * q = 3 * 11 = 33
• Compute φ(n) = (p - 1) * (q - 1) = 2 * 10 = 20
• Choose e such that 1 < e < φ(n) and e and n are coprime. Let e = 7
• Compute a value fo... | 5 | [
0.0093994140625,
0.05712890625,
-0.05517578125,
-0.0267333984375,
-0.029052734375,
0.0181884765625,
0.0191650390625,
0.08251953125,
0.0185546875,
0.0654296875,
-0.04248046875,
0.01409912109375,
0.0224609375,
0.0107421875,
0.0203857421875,
-0.03369140625,
-0.04150390625,
0.026733398... | 35,468 | 35468 | |
Approximating Pi using Geometry
Date: 08/12/98 at 00:33:38
From: Rimi Ghosh
Subject: Value of pi
I need to know a simple method to find the approximate value of pi
(3 < pi < 4) using elementary geometry.
Date: 08/12/98 at 13:48:02
From: Doctor Rick
Subject: Re: Value of pi
Hi, Rimi.
I had fun with this problem a... | 5 | [
-0.01519775390625,
0.039794921875,
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0.011962890625,
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0.0634765625,
0.04296875,
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0.051025390625,
-0.01806640625,
-0.07177734375,
0.057861328125,
0.02734375... | 35,469 | 35469 | |
Dual Spaces and Complementary Subspaces
Date: 08/13/2003 at 23:19:26
From: Esha
Subject: Dual spaces and dual maps
What exactly is a dual space of a vector space? And also can you
explain why if f exists in V* then f exists in (Im L)(transposed) then
why is it that (Im L)(transposed) = Ker L*?
I know the definition,... | 5 | [
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-0.01153564453125,
... | 35,470 | 35470 | |
If Spec(A) has a G-fixed point and a dense G-orbit, is Spec(A) a cone?
up vote 5 down vote favorite
1
[Edited to include a dense orbit]
Let $X=Spec(A)$ be a normal affine scheme over an algebraically closed field $k$, with an action of a linearly reductive group $G$. Suppose $x\in X$ is a $G$-invariant $k$-point ... | 4 | [
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0.1767578125,
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0.00555419921875,
-0.0390625,
0.00439453125,
0.0150146484375,
0.000865936279296875,
0.04345703125,
0... | 35,471 | 35471 | |
on counting of special case of trees on a graph
up vote 1 down vote favorite
Lets define edge-cycle in a graph $G$ as a path where the first and the last node are adjacent. (in contrast with the definition of cycle where first and last node are the same).
An edge-tree $T$ is a tree with the additional property that d... | 5 | [
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0.0634765625,
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0.043701171875,
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0.0130615234375,
-0.027465820312... | 35,472 | 35472 | |
Computational & Applied Mathematics
Services on Demand
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On-line version ISSN 1807-0302
Comput. Appl. Math. vol.28 no.1 São Carlos 2009
http://dx.doi.org/10.1590/S0101-82052009000100002
An inexact interior point proximal method for the variational inequality problem
Regin... | 4 | [
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0.1015625,
0.0302734375,
0.0260009765625,
-0.0693359375,
-0.01080322265625,
0.10205078125,
0.006591796875,
0.00152587890625,
-0.0546875,
0.043212890625,
-0.11621093... | 35,473 | 35473 | |
Formula for Arithmetic sequence
September 27th 2009, 07:23 PM
flexus
Formula for Arithmetic sequence
find the formula for an for the arithmetic sequence.
a3=94, a6=85
ok i know how to solve a similar problem when i am given a1 and d. but i dont have either A1 or d so how can i find them? to plug into... | 4 | [
-0.12451171875,
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0.029052734375,
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-0.0390625,
0.052978515625,
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0.02197265625,
0.053466796875,
0.0284423828125,
0.10107421875,
-0.017822265625,
-0.06982421875,
-0.064453125,
-0.0311279296875,
-0.023681640625,
-0.083984375,
-0.0078735351562... | 35,474 | 35474 | |
Algebraicity of arbitrary extensions
February 27th 2013, 08:49 AM
spudwish
Algebraicity of arbitrary extensions
Let F \subset K \subset E be field extensions. Assume that F \neq K and that there is x \in E s.t E=F(x). Show that E is algebraic over K.
I have no idea how to even begin with this one. I'm sitti... | 5 | [
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0.10986328125,
0.044921875,
0.058837890625,
0.0108642578125,
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0.001678466796875,
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0.0274658203125,
0.03564453125,
0.034912109375,
-0.028564453125,
... | 35,475 | 35475 | |
A left inverse for the comultiplication on a Hopf von Neumann algebra
up vote 11 down vote favorite
3
Edit: incorrect claim at end of earlier version; thanks to Matthew Daws for pointing this out in comments.
$\newcommand{\cM}{{\mathcal M}}\newcommand{\stp}{{\overline{\otimes}}}$The following technical question arose... | 5 | [
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0.006866455078125,
0.047119140625,
0.026123046875,
0.06... | 35,476 | 35476 | |
Sylow subgroups of projective general linear groups
up vote 10 down vote favorite
3
What is known about the Sylow 2-subgroups of $\rm{PGL}_n(\mathbb{F}_q)$, where $q$ is any prime power? For example, according to Theorem 7.9 in Isaacs's Character Theory, these Sylow 2-subgroups
cannot be generalised quaternion. Is the... | 5 | [
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0.051025390625,
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0.024658203125,
-0.0595703125,
0.041015625,... | 35,477 | 35477 | |
associative law
July 14th 2008, 01:03 PM #1
Member
Joined
Jun 2008
Posts
170
associative law
Prove for any natural numbers $a,b,c$, we have $(a+b)+c = a+(b+c)$. So fix $a$ and $b$ and induct on $c$. For $c = 0$, $a+b = a+b$. Suppose inductively that $(a+b)+c = a+(b+c)$. We have to prove
that $(a+b) +... | 5 | [
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0.004119873046875,
0.040771484375,
0.023193359375,
0.064453125,
-0.0252685546875,
... | 35,478 | 35478 | |
Finding the shortest distance from a point to a line with parametric vector equation?
April 6th 2011, 07:49 AM #1
Junior Member
Joined
Mar 2011
Posts
27
Finding the shortest distance from a point to a line with parametric vector equation?
"Find the shortest distance from the point P = P(-1,0,2) to the li... | 5 | [
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0.044921875,
-0.04638671875,
-0.01385498046875,
-0.06005859375,
0.0065917... | 35,479 | 35479 | |
How is the Julia set of $fg$ related to the Julia set of $gf$?
up vote 30 down vote favorite
9
Let $f$ and $g$ be complex rational functions (of degree $\geq 2$ if that helps). What can be said about the relationship between $J(fg)$ and $J(gf)$, the Julia sets of the composite functions $f \
circ g$ and $g \circ f$?
... | 5 | [
-0.052978515625,
-0.015625,
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0.09130859375,
-0.031494140625,
0.09912109375,
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0.051025390625,
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0.030517578125,
0.01953125,
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0.04931640625,
... | 35,480 | 35480 | |
Factorisation
It seems like some obvious combination like $(\pm a^2\pm b^2\pm c)^2$ doesn't work for any combination of +/- We can write it as a polynomial g with: $c=x$ and $g(x)= x^2-2(a^2+b^2)x+(a^4+b^4-2a^2b^
2)$ and then use abc-formula to find roots of $g(x)=0$ Then we can write $(x-r_1)(x-r_2)$ as a factorisatio... | 4 | [
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0.051025390625,
-0.060791015625,
0.04638671875,
0.0159912109375,
... | 35,481 | 35481 | |
Linear Algebra please help.
June 19th 2008, 09:51 PM #1
Junior Member
Joined
Apr 2008
From
Gainesville
Posts
68
Linear Algebra please help.
T:R2-->R3 defined by T(a1,a2)=(a1+a2,0,2a1-a2)
I need to prove that is a linear transformation, and find the bases for both
N(T) and R(T). then compute ... | 5 | [
0.00009584426879882812,
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0.0247802734375,
-0.04296875,
0.0255126953125,
-0.022705078125,
-0.09716796875,
-0.0234375,
-0.0422... | 35,482 | 35482 | |
Newton's Method
December 11th 2007, 04:54 PM
FalconPUNCH!
Newton's Method
Use Newton's Method to approximate the given number correct to eight decimal places.
$^{100}\sqrt{100}$
$f(x) = x^{100} - 100$
$f'(x) = 100x^{99}$
I know how to use Newton's Method but is there a faster way, a shortcut,... | 4 | [
0.0234375,
-0.017333984375,
-0.0272216796875,
0.005584716796875,
-0.0341796875,
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0.06787109375,
-0.0014801025390625,
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0.058837890625,
0.07080078125,
-0.027587890625,
0.025146484375,
-0.0042724609375,
-0.0109863... | 35,483 | 35483 | |
Proving Trigo Identity
LHS = $\frac{sin3x}{sinx}+\frac{cos3x}{cosx}$ = $\frac{sin3xcosx+cos3xsinx}{sinxcosx}$ = $\frac{sin(3x+x)}{sinxcosx}$ = $\frac{sin4x}{sinxcosx}$ = $\frac{2sin2*2x}{2sinxcosx}$ = $\frac{2*2sin2xcos2x}
{sin2x}$ = $4cos2x$ = RHS -----------------------------------------------------------------------... | 5 | [
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0.021728515625,
0.1059570... | 35,484 | 35484 | |
Absolute Value
November 6th 2011, 12:09 PM #1
Newbie
Joined
Nov 2011
Posts
5
Absolute Value
I'm self-teaching, so I'm going back and refreshing myself and I'm trying to figure something out.
-3|x-2|=3
I know that the answer is "no real solutions," but my question is why?
Thanks!
Re: Absol... | 4 | [
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0.09716796875,
-0.090332... | 35,485 | 35485 | |
Z - Values
October 3rd 2005, 06:21 PM #1
Newbie
Joined
Oct 2005
Posts
2
Please read the following question:
A lightbulb has a normally distributed light ouput with a mean
5000 end foot-candles and standard deviation of 50 end foot candles.
Find a lower specification limit such that only 0.5% o... | 4 | [
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0.019775390625,
0.00958251953125,
0.04052734375,
-0.001495361328125,
-0.10107... | 35,486 | 35486 | |
(x,y,z) problems
August 26th 2009, 05:29 PM
coolguy99
(x,y,z) problems
just got into calc3, the professor taught us one class and gave us this homework which I don't feel he prepared us for.. I'm trying here, but I'm stuck on two problems
1) determine whether the points lie on a straight line
A (2,4,2);... | 4 | [
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0.03466796875,
-0.03857421875,
0.0242919921875,
-0.06494140625,
-0.05... | 35,487 | 35487 | |
Identity using binomial theorem
November 1st 2008, 06:15 AM #1
Newbie
Joined
Oct 2008
Posts
8
Identity using binomial theorem
Hi Guys first of all I would to thank in advance all people that read/try to solve this problem.
The problem is: prove that for all positive integer $k \leq n$ the following ... | 5 | [
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0.10986328125,
-0.048828125,
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0.04052734375,
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0.0194091796875,
0.01007080078125,
-0.07177734375,
0.049072265625,
0.04150390625,
-0.05371093... | 35,488 | 35488 | |
Cohen and Selfridge's proof about odd numbers which are neither the sum nor difference of a power of two and a prime.
up vote 10 down vote favorite
1
In a 1975 paper `Not Every Number is the Sum or Difference of Two Prime Powers', Cohen and Selfridge use covering congruences to prove their Theorem 1, which states that... | 4 | [
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0.03955078125,
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0... | 35,489 | 35489 | |
Logarithm qsn :D
October 20th 2008, 10:03 PM
steph_r
Logarithm qsn :D
Hi all!
Just wondering whether i could get some help solving this question for "t"? Do you have to put log10 on each side? Step by step if possible would be greatly appreciated.
20(10^0.1t) = 25(10^0.05t)
Cheers
October 20th 2... | 4 | [
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0.055419921875,
... | 35,490 | 35490 | |
Curve Sketching - Concavity - Problem 1
July 6th 2009, 01:52 AM #1
Newbie
Joined
May 2009
Posts
19
Would anyone be so kind as to help me solving this concavity problem?
I just don't get concavity at all, and need to have a solution for this problem. Thank you very much in advance.
Try not to do... | 4 | [
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0.10546875,
0.0194091796875,
0.1259765625,
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0.00830078125,
0.09423828125,
0.095703125,
-0.0296630859375,
0.07080078125,
-0.047607421875,
-0.01239013... | 35,491 | 35491 | |
Gram-Schmidt process to find last row of matrix
October 20th 2012, 06:58 PM
sfspitfire23
Gram-Schmidt process to find last row of matrix
Hi guys,
Use the Gram-Schmidt process to find last row of the following orthogonal matrix where the first two rows are:
[sqrt(3)/2, -1/sqrt(8), 1/sqrt(8)]
and
... | 5 | [
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0.0010986328125,
0.041748046875,
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-0.0439453125,
0.04541015625,
-0.09228515625,
0.0703125,
-0.08056640625,
0.01171... | 35,492 | 35492 | |
HIV model
January 19th 2011, 03:56 PM
mathsohard
HIV model
Cells that are susceptible to HIV infection are called T(target) cells. Let T(t) be the population of uninfected T-cells, T*(t) that of the infected T-cells, and V(t) the population of the HIV
virus. A model for the rate of change of the infected T-c... | 4 | [
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0.056884765625,
0.0216064453125,
-0.017822265625,
-0.0771484375,
-0.028076171875,
0... | 35,493 | 35493 | |
A wrong proof of Squared Bessel process
up vote 2 down vote favorite
The squared Bessel process with $\delta$-dimension for $\delta>0$, denoted by $BESQ^\delta(y)$, is given by $$d Y_t = \delta t + 2 \sqrt{Y_t} d B_t, \ Y_0 = y\ge 0$$ where $B_t$ is BM under $(\Omega,
{\cal F}_t, P)$. Consider $\tau = \inf[ t>0: Y_t =... | 5 | [
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0.03857421875,
0.099609375,
-0.000919342041015625,
-0.0... | 35,494 | 35494 | |
Simple uses for the Entropy bound on the volume of a Hamming ball
up vote 4 down vote favorite
1
I'm a teaching assistant in an introductory course of Information Theory. I intend to prove the following well-known fact that easily proven using elementary information theoretic consideration: $\
forall t\leq n/2 : \sum ... | 5 | [
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0.00970458984375,
-0.020263671875,
-0.00604248046875,
0.099609375,
-0.00... | 35,495 | 35495 | |
Two sided green's function
May 28th 2010, 03:46 AM #1
Junior Member
Joined
Oct 2009
Posts
54
Two sided green's function
Hey guys,
I've been staring at this question for days and I've got to a point where I don't know where to go from...
The question asks
With the HLDE $y''+4y=f(x), 0\leq x ... | 4 | [
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0.00189208984375,
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0.00543212890625,
0.039306640625,
0.0213623046875,
-0.031005859375,
-0.0... | 35,496 | 35496 | |
DE trinomial?
August 30th 2011, 01:50 PM #1
DE trinomial?
First homework of the semester hits me with this:
Which of the following pairs of functions is a solution of the given system of differential equations on the interval
Select the correct answer.
I don't want the answer! I do notice ... | 4 | [
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0.003448486328125,
0.01116943359375,
-0.07275390625,
... | 35,497 | 35497 | |
finding eigenvectors
March 18th 2011, 09:07 PM #1
finding eigenvectors
Find the characteristic polynomial, eigenvalues and eigenvectors of the matrix $<br /> \[<br /> A =<br /> \begin{array}{ccc}<br /> 0 & 1 & 2 \\<br /> 0 & 0 & 3 \\<br /> 0 & 0 & 0 \\<br /> \end
{array}<br /> \]$
I got the eigenvalues $\... | 4 | [
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-0.052978515625,
0.03857421875,
0.0025482177734375,
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0.02587890625,
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0.11474609375,
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-0.006256103515625,
0.0001277923583984375,
0.0390625,
0.0026397705078125,
-0.03930664... | 35,498 | 35498 | |
BEATCALC
BEATCALC: Beat the Calculator!
Back to Calculation Tips & Tricks
┏━━━━━━━━━━━━━━━━━━━━━┯━━━━━━━━━━━━━━━... | 4 | [
0.0205078125,
-0.04541015625,
-0.03271484375,
-0.052490234375,
-0.13671875,
0.0277099609375,
-0.04345703125,
-0.0130615234375,
-0.004119873046875,
0.0218505859375,
-0.0101318359375,
-0.05712890625,
0.0859375,
-0.024169921875,
-0.0120849609375,
-0.01165771484375,
-0.0859375,
0.14843... | 35,499 | 35499 |