content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
recurrence relation
October 14th 2013, 05:35 PM #3
Newbie
October 14th 2013, 05:09 PM #2
MHF Contributor
October 14th 2013, 03:42 PM #1
Newbie
Re: recurrence relation
I notice that you answered my previous thread too and I'm really appreciated.However, your work seems beyond the method my professor have taug... | 5 | [
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-0.03540039... | 36,700 | 36700 | |
Spectrum of the Laplacian on G(n, p) and G(n, M)
up vote 6 down vote favorite
1
A random graph in $G(n, p)$ model is a graph on $n$ vertices in which for each of the $n\choose{2}$ edges we independently flip a coin, then take the edge with probability $p$ or remove it with $1 -
p$.
A random graph in $G(n, m)$ model i... | 4 | [
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Periodic automorphisms of free groups
up vote 6 down vote favorite
Hi, I am troubled with the following question: Does there exist a finite order automorphism of a free group, $f\in Aut(F)$, such that it fixes no non trivial conjugacy class and no non trivial
centralizer, i.e. $f(g)$ is not conjugate to $g$ and $f(g)\... | 5 | [
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Solve this radical equation
Solve in R : $\sqrt {x - 1} + \sqrt {2 - x} = x^2 - 3x + 3$
Square both sides. You'll end up with a radical as the middle term on the right-hand side. Isolate this radical, and then square again. Then solve the resulting polynomial. Remember to check your
solutions in the original radical e... | 4 | [
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Series representation of x^2/(a^3-x^3)
February 9th 2010, 08:33 PM
buckeye1973
Series representation of x^2/(a^3-x^3)
Hi all,
I'm having trouble with the series representation of a function.
$f(x) = \frac{x^2}{a^3-x^3}$
First I tried breaking this up into partial fractions, then I realized I'm not... | 5 | [
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Birthday Paradox
March 16th 2010, 08:51 PM
jrkevinfang1234
Birthday Paradox
Apparently, there are two methods of solving this probability problem. The first, using p(n) = 1 - (365^n falling / 365^n) makes sense to me; however, there is an alternate solution using the
Taylor series of e^x.
Here's the ful... | 4 | [
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Relational proof
March 12th 2009, 07:27 PM
thehollow89
Relational proof
If R is reflexive and transitive, then R U R^U is an equivalence. I need to prove this using algebraic-relation calculations or disprove by counter example. I'm really not understanding this
stuff. (Worried)
March 13th 2009, 02:42 AM
P... | 5 | [
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Alternative proof of unique factorization for ideals in a Dedekind ring
up vote 5 down vote favorite
3
I'm writing some commutative algebra notes, but I'm facing a difficulty in organizing the order of the topics. I'd like to have the topics about factorization before speaking of integral closure.
This is fine, as lon... | 4 | [
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Check if everything is OK in the way I have solved this problem?
February 15th 2013, 07:37 AM #1
Newbie
Joined
Jan 2013
From
South Africa
Posts
14
Check if everything is OK in the way I have solved this problem?
Can you please just look this over like peer review? I think I am fairly confident about ... | 5 | [
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[SciPy-user] Maximum entropy distribution for Ising model - setup?
[SciPy-user] Maximum entropy distribution for Ising model - setup?
Martin Spacek scipy at mspacek.mm.st
Sat Oct 28 07:23:36 CDT 2006
Hi James,
Bear with me, I don't exactly have a complete understanding of this.
James Coughlan wrote:
> Hi,
>
> I've... | 4 | [
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Help required in a formula
December 20th 2007, 01:41 AM
tpriyan
Help required in a formula
Hello all,
x = [(a-b(1+i)^-n)*y] / [(1-(1+i)^(n-y))/i)+y].
i need to get the reverse formulae for a,b,i,n and y. i need this information urgently. please help.
Thanks in Advance
Priyan
December 20th 20... | 5 | [
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von dyck groups and solvability
up vote 7 down vote favorite
4
A von Dyck group is a group with presentation $< a,b | a^m=b^n=(ab)^p=1 >$ with m,n,p natural numbers. Is it known which of these groups are solvable and which are not? Is there a reference for this?
Thanks.
gr.group-theory
1 The groups with $\frac{1}... | 5 | [
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Sine, cosine and tan graphs
April 29th 2007, 12:23 PM #1
Newbie
Joined
Feb 2007
Posts
16
Sine, cosine and tan graphs
I'm having a lot of problems with this topic. I know what the sine, cosine and tan graphs look like.
one question i come across fequently is "given that sin 30Β°, what is a) sin 150Β° b... | 4 | [
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Orbits in modular arithmetic
up vote 8 down vote favorite
5
Let $p$ be an odd prime number and consider the set of $p-2$ integers that is $\mathbb{Z}_p$ minus 0 and 1. Next define two bijective functions on this set f(x) &= 1-x \mod p and g(x) &= x^{-1} \mod
p \qquad \text{(the multiplicative inverse of $x$).} One can... | 5 | [
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Topology. Metric Space.
You have posted an attachment without any comment whatsoever. Do you expect someone to do the problem(s) for you? Each of these follows from this theorem: $(\forall x,~y)\left[|D(A,x)-D(A,y)|\le d
(x,y)\right]$ The proof follows directly from the definition: $D(A,x)=\inf\{d(x,a):~a\in A\}~.$ Not... | 4 | [
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Some questions on unitarisability of discrete groups
up vote 13 down vote favorite
5
In this post I would like to ask several of questions related to Dixmier problem. I will try to make the post as self-contained as possible.
A discrete group $G$ is unitarisable if for every Hilbert space $H$ and a homomorphism $\pi:... | 4 | [
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trig word problem help
The problem is attached to the post I really dont know how to turn that into a graph
to a): Use the definition of Cosine: $\dfrac wd = \cos(x)~\implies~d=\dfrac w{\cos(x)} = w\cdot \sec(x)$ to b): $\min(x) = 0~\implies~d = w$ If P = L then $\max(x) = \arctan\left(\dfrac{2w}w\right)=\
arctan(2) \... | 5 | [
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Summation Notation Problem
How could this be simplified in summation notation: 5 * y1 + 25 * y2 + 125 * y3 Thanks!
Welcome to the forum (Party) $5 \times y^1 + 25 \times y^2 + 125 \times y^3$ $(5\times y)^1 +(5\times y)^2 + (5\times y)^ 3$ $<br /> \sum_{r= 1}^{3}{(5\times y)^r} <br /> <br />$
Thanks, ADARSH. What abo... | 4 | [
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A system of cross and dot products
October 27th 2010, 10:12 AM #1
Junior Member
Joined
Oct 2009
Posts
72
A system of cross and dot products
This was found in a textbook on classical mechanics so I thought it best to post it here rather then in the calc forum.
$\bold{b}\cdot\bold{v}=\lambda$
$\bo... | 5 | [
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Vector Calculus
March 28th 2009, 02:26 PM #1
Junior Member
Joined
Feb 2008
Posts
63
Vector Calculus
Show that if $\sigma$(x,y) satisfies Laplace's equation,
$\frac{\partial \sigma}{\partial x^2}+\frac {\partial \sigma}{\partial y^2}=0$ on a simply connected region R, then $\forall$closed curves C of... | 5 | [
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Fast Multiplication Algorithms for Large Integers
Date: 08/16/97 at 11:51:31
From: Richard Eager
Subject: Fast Multiplication Algorithms for Large Integers
I am wondering if there are any 'elementary' algorithms for computing
the product of 2 n-digit numbers in less than O(n^1.58) time (that is
an algorithm from Knu... | 5 | [
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Question on subspace
1. June 6th 2012, 12:03 AM #1
2. June 6th 2012, 01:20 AM #2
Re: Question on subspace
I assume the question deals with vector spaces over real numbers. Is W closed under multiplication by a real number?
3. June 6th 2012, 03:16 AM #3
Re: Question on subspace
Yes, it is... | 4 | [
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probability of IID sum being positive
up vote 6 down vote favorite
Let $X_1,X_2,...$ be iid random variable with mean zero. If $X_1$ has second moment then by the CLT we have $P(X_1+X_2+...+X_n\geq 0)\rightarrow \frac{1}{2}$, as $n$ goes to infinity. I am curious
about whether does this hold without the second moment ... | 5 | [
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Rigorous proof of the duality of Coupon collector's problem and Occupancy problem
up vote -1 down vote favorite
1
We have $k$ different types of coupons (with replacement).If we collect at least $l$ different coupons, we win a prize. We can only afford to collect $m$ coupons.
Let's say we take all those $m$ coupons, ... | 5 | [
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help me solve this indices ASAP!!
Help me to solve this thx :D Evaluate 6^x , given that 3^(x+1)*2^(2x+1)=2^(x+2)
Question: Given that $3^{x+1}\times2^{2x+1}=2^{x+2}$, Required to find $6^x$ Solution: first of all simplify each index; $3^{x+1}\times2^{2x+1}=2^{x+2}$ $\Rightarrow 3^x.3^1\times2^{2x}.2^1=2^x.2^2$
$\Righ... | 4 | [
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Side Length of a Regular Octagon, Without Trigonometry
Date: 09/19/2003 at 17:12:28
From: Gail
Subject: Finding the length of the side of an octagon
I teach middle school math. A friend asked me how to find the length
of one side of a regular octagon that has a (side-to-side) diameter of
16 feet. I was not sure how... | 4 | [
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-0.01251... | 36,725 | 36725 | |
Ring of charge
February 4th 2011, 11:56 AM #1
Newbie
Joined
Nov 2010
Posts
17
Ring of charge
Problem 9.
The electric field vanishes inside a uniform spherical shell of charge because the shell has exactly the right geometry to make the 1/r2 field produced by opposite sides of the shell cancel
acc... | 5 | [
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Wavefront Reconstruction of Elevation Circular Synthetic Aperture Radar Imagery Using a Cylindrical Green's Function
Elevation Circular Synthetic Aperture Radar (E-CSAR) is a novel radar modality used to form radar images from data sets acquired along a complete or even a segment of a cylindrical geometry above a
given... | 4 | [
-0.046875,
0.032958984375,
-0.038330078125,
-0.08740234375,
0.10400390625,
-0.044677734375,
-0.0252685546875,
0.024169921875,
0.045166015625,
0.01202392578125,
-0.064453125,
0.04443359375,
0.06982421875,
-0.011962890625,
0.11083984375,
-0.07373046875,
-0.09423828125,
-0.02062988281... | 36,727 | 36727 | |
Graphs of Functions Help
By
Steven G. Krantz
β McGraw-Hill Professional
Updated on Aug 31, 2011
Introduction to Graphs of Functions
It is useful to be able to draw pictures which represent functions. These pictures, or graphs , are a device for helping us to think about functions. In this book we will only graph f... | 4 | [
-0.057861328125,
-0.038330078125,
-0.08447265625,
-0.06982421875,
0.040283203125,
-0.0203857421875,
0.006591796875,
0.0247802734375,
0.06640625,
-0.0390625,
0.0277099609375,
0.01055908203125,
0.0211181640625,
0.06103515625,
0.025390625,
0.00107574462890625,
-0.04052734375,
-0.09033... | 36,728 | 36728 | |
Enthalpy Change Example Problem
β’ Enthalpy Review
You may wish to review the Laws of Thermochemistry and Endothermic and Exothermic Reactions before you begin.
β’ Problem
Given: The heat of fusion of ice is 333 J/g (meaning 333 J is absorbed when 1 gram of ice melts). The heat of vaporization of liquid wat... | 4 | [
-0.095703125,
0.038818359375,
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-0.0147705078125,
0.01043701171875,
0.01495361328125,
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0.03564453125,
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-0.0478515625,
0.0130615234375... | 36,729 | 36729 | |
what is the dy of a trigonometric function
March 10th 2013, 06:42 AM
dokrbb
what is the dy of a trigonometric function
Sorry for posting the same thread, but the last one I described in such a confusing way even for me (no wonder I had no reply),
so, starting with a clean sheet:
The function y = tan(3x +... | 5 | [
-0.058349609375,
-0.032958984375,
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0.02880859375,
0.02978515625,
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0.083984375,
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0.0284423828125,
-0.0322265625,
-0.0458984375,
0.03076171875... | 36,730 | 36730 | |
Math Forums @ Math Goodies - Solving Polynomial Equationstesting headertesting left navtesting footer
Math Goodies is a free math help portal for students, teachers, and parents.
... | 4 | [
-0.0634765625,
0.0224609375,
0.019775390625,
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0.1064453125,
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Homomorphism, kernal, image
February 8th 2011, 03:53 PM #1
Homomorphism, kernal, image
Let $f: (\mathbb{R}, +) \rightarrow (\mathbb{C}, \times )$ be the map $f(x) = e^{ix}$. Show that $f$ is a homomorphism and determine its image and kernal.
Okay, so this seems somewhat easy, but I am fairly new to this conc... | 5 | [
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0.0283203125,
0.018310546875,
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0.048828125,
0.07666015625,
-0.033203125,
-0.091796875,
0.010498046875,
-0.01721... | 36,732 | 36732 | |
Infinity and Imaginary Numbers
Date: 06/15/2003 at 13:25:44
From: Brandon
Subject: Infinity and Imaginary Numbers
I've been thinking about both of these concepts and their possible
connections. I would like to know if these ideas are currently
established as valid or not.
To start with I see _i (the imaginary number... | 5 | [
-0.1513671875,
-0.004241943359375,
-0.05126953125,
0.0296630859375,
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0.0234375,
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0.07763671875,
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0.025390625,
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0.0712890625,
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-0.04248046875,
0.0247802734375,
-0.030517578125,... | 36,733 | 36733 | |
Finding The Distance Between Parallel Lines...?
April 29th 2008, 07:30 PM #1
Member
Joined
Apr 2008
Posts
123
Finding The Distance Between Parallel Lines...?
How do you find the distance between the two parallel lines:
y = 4x+6
y = 4x-9
A lot of people think it's 15, which sounds plausible,... | 4 | [
-0.01300048828125,
-0.0263671875,
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-0.09521484375,
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0.005828857421875,
0.02978515625,
-0.033447265625,
0.052001953125,
-0.00921630859375,
-0.00... | 36,734 | 36734 | |
intersecting lines
September 9th 2009, 03:27 AM #1
Junior Member
Joined
Aug 2009
Posts
25
intersecting lines
Given the intersecting lines: L1: x = 3t - 3, y = -2t, z = 6t + 7
L2: x = s - 6, y = -3s - 5, z = 2s + 1
a) Find the (acute) angle, rounded to the nearest degree, between the lines.
b... | 4 | [
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0.00121307373046875,
-0.115234375,
-0.0639... | 36,735 | 36735 | |
Trig Functions (Angles subtended?)
Last edited by MathIsPower; May 30th 2007 at 01:30 PM.
Hello, the shaded area can be calculated by: area of sector - area of right triangle The angle(ROP) = $\frac{3 \pi}{16}$ Thus the area of the sector is: $\frac{A_{sector}}{\pi r^2}=\frac{\frac{3 \pi}
{16}}{2\pi} \ \Longleftrighta... | 4 | [
0.00186920166015625,
0.111328125,
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0.07861328125,
0.057373046875,
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0.0080566406... | 36,736 | 36736 | |
Sets: Unions and Intersections
Date: 12/17/97 at 19:04:03
From: Alison Lawless
Subject: Unions and Intersections
I want to know about complements, union, intersection, and sets of
numbers. I am having much trouble! Please send some advice. I
would appreciate it very much. Thank you so much!
Alison and her mothe... | 4 | [
0.0238037109375,
0.05029296875,
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type of exponential equation
To solve $2^x = x^5$ could you use Lambert W function? Thanks
Last edited by tukeywilliams; July 29th 2007 at 08:57 PM.
It can be solved via derivatives and intersections of curves. But how would you solve it in a purely algebraic manner using the W Lambert function?
In principle yes it ... | 5 | [
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-0... | 36,738 | 36738 | |
Condition number of simple eigenvalues
May 16th 2011, 09:25 AM
Mollier
Condition number of simple eigenvalues
Hi, there's a step in the derivation of the condition number that I do not understand.
Let $A\in\mathbb{C}^{n\times n}$ and let $\lambda$ be a simple eigenvalue of $A$.
Let $u$ be a right eigenv... | 4 | [
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0.0654296875,
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0.080078125,
0.045654296875,
-0.0167236328125,
-0.0329... | 36,739 | 36739 | |
[SOLVED] equation of a tangent line
November 4th 2007, 04:27 PM #1
Newbie
Joined
Nov 2007
Posts
6
Having a little bit of problem....
Let c be a nonzero real number. What is the equation of the tangent line to the graphof the function y=sin(x/x+c) at the point x=0.
i get the derivate of cos(1/1+c)... | 4 | [
-0.080078125,
-0.0012054443359375,
-0.0478515625,
0.044677734375,
0.003021240234375,
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0.020263671875,
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0.034423828125,
0.11669921875,
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0.0634765625,
-0.009765625,
0.01263427734375,
0.002593994140625,
-0.0... | 36,740 | 36740 | |
A question about connectedness in Euclidean space
up vote 0 down vote favorite
Here is a question which seems true to me but I can't rigorously show. Suppose $K$ is a compact subset of $\mathbb{R}^n$ such that $\mathbb{R}^n\setminus K$ is connected, does it follow that for any
connected open set $U\subset \mathbb{R}^n... | 5 | [
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0.03125,
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-0.00347900390625,
-0.059082031... | 36,741 | 36741 | |
Help with question on matrices
April 11th 2012, 12:19 AM
Jane1947
Help with question on matrices
Hello
My daughter is doing a college assignment and I managed to help her with the majority of the question but cannot figure out the last part.
I have the characteristic equation and have made that a cubic ... | 5 | [
0.0030059814453125,
0.07763671875,
0.02880859375,
0.10107421875,
-0.03955078125,
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0.0230712890625,
-0.032470703125,
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0.1396484375,
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0.07421875,
0.01708984375,
-0.0206298828125,
0.09765625,
-0.01806640625,
0.01220703125,
... | 36,742 | 36742 | |
Ratio of Sides and Ratio of Areas
Date: 02/11/99 at 00:45:40
From: Danny Bradley
Subject: High school Geometry
The corresponding sides of two similar triangles are in the ratio of
1:7. What is the ratio of their areas?
Date: 02/11/99 at 18:17:50
From: Doctor Pat
Subject: Re: High school Geometry
Danny,
When two ... | 4 | [
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0.0281982421875,
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0.125,
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0.0263671875,
... | 36,743 | 36743 | |
Maclaurin Polynomial
December 8th 2010, 06:23 AM
hmmmm
Maclaurin Polynomial
How do we find the maclaurin polynomial for $f(x)=\left\{\begin{array}{cc}\frac{cos(x)-1}{x},&\mbox{ if }xot= 0\\0, & \mbox{ if } x=0\end{array}\right,$
Its not the maclaurin polynomial part that i dont understand its how i different... | 5 | [
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0.0234375,
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0.046875,
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-0.016357421875,
-0.09814453125,
-0.08203... | 36,744 | 36744 | |
Generating a group
May 10th 2010, 09:37 AM #1
Newbie
Joined
May 2010
Posts
3
Generating a group
Please oh please help me finish this
1,000,000 < 2^20
Know that until you have a generating set, you can show that you keep adding elements so the prodcuts of each subset are different.
Prove by... | 4 | [
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0.080078125,
-0.00860595703125,
... | 36,745 | 36745 | |
Adding Integrals and Velocity Function
April 23rd 2010, 06:08 AM #1
Newbie
Joined
Apr 2010
Posts
3
Hello All-
I was having some difficulty with the below problem.
β« from 0 to 3 [f(x)] dx = 6
β« from 3 to 5 [f(x)] dx = 4
Find the β« from 0 to 5 [ 3 + 2f(x)] dx
My thought was that the... | 5 | [
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0.0791015625,
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-0.10595703125,
0.0600585... | 36,746 | 36746 | |
On the construction of the simplicial category $\Delta$
up vote 2 down vote favorite
2
Is a classical example that in the topos $Set$ the set of natural numbers (finite cardinals) $\mathbb{N}$ is the natural-numbers objet as in topos theory definition. Now the category $\Delta$ has for
objects the natural numebers ($n... | 4 | [
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0.09228515625,
-0.0478515625,
0.07373046875,
0.07666... | 36,747 | 36747 | |
Conditional probabilities for all pairs of subsets in $\mathbb R^2$?
up vote 3 down vote favorite
Parikh and Parnes showed that one can define a isometry-invariant finitely-additive conditional probability for all pairs of subsets of the interval. Can one extend this result to bounded subsets of
$\mathbb R^2$? Of cour... | 5 | [
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0.09765625,
0.039794921875,
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0.041748046875,
0.0791015625,
-0.0... | 36,748 | 36748 | |
Vector question 2-
October 28th 2006, 12:34 AM #1
Junior Member
Joined
May 2006
Posts
37
Vector question 2-
The line L passes through the point A, whose position vector is i-j-5k and is parrallel to the vector i-j-4k. The line l2 passes through the point B, whose position vector is 2i-9j-14k, and is
... | 5 | [
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0.068359375,
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0.003387451171875,
0.0576171875,
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0.01556396484375,
-0.002899169921875,
-0.06787109375,
0.11572265625,
-0.09033203125,
-0.03... | 36,749 | 36749 | |
central extensions of Diff(S^1) and of the semigroup of annuli
up vote 15 down vote favorite
10
$\mathit{Diff}(S^1)$ refers to the group of orientation preserving diffeomorphisms of the circle. The semigroup of annuli $\mathcal A$ is its "complexification": the elements of $\mathcal A$ are
isomorphism classes of annul... | 4 | [
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0.058349609375,
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-0.099609375,
0.0037078857421875... | 36,750 | 36750 | |
Show Function Satisfies Equation
November 25th 2010, 08:46 AM #1
Newbie
Joined
Nov 2010
Posts
3
Show Function Satisfies Equation
1) Assuming that f(0) = 0, show that f(n) = n * (n+1) / 2 satisfies the equation:
f(n) = n + f(0) + f(n-1)
2) Show that g(n) = n log n, satisfies the equation:
g... | 4 | [
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-0.035888671875,
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0.00811767578125,
-0.0169677734375,
-0.01275634765625,
-0.043212890625,
-0.0346... | 36,751 | 36751 | |
$J$-holomorphic curve as a minimal surface
up vote 4 down vote favorite
1
The following is a part of the proof of Gromov nonsqueezing theorem. The existence of a $J$-holomorphic curve gives an upper bound for the radius of a symplectically embedded ball.
Let $\psi: B(r) \rightarrow M$ be a symplectic embedding of a b... | 4 | [
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0.0576171875,
-0.00848388671875,
-0.07373046875,
-0.... | 36,752 | 36752 | |
Help With Lagrange Multipliers 2 Questions
November 16th 2011, 05:30 PM #1
Senior Member
Joined
Sep 2009
Posts
299
I need help with these two questions
1.
Use Lagrange multipliers to show that, of all the triangles inscribed in a circle of radius
R, the equilateral triangle has the largest pe... | 5 | [
-0.00860595703125,
-0.0031890869140625,
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-0.06494140625,
0.027587890625,
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0.06591796875,
0.017333984375,
-0.041015625,
-0.04150390625,
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-0.0218505859375,
-0.00006580352783203125,
-0.0040283203125,
0.07421875,
0.00592041015625,
-0.0169677... | 36,753 | 36753 | |
Does this Make sense?
1. September 22nd 2008, 02:51 PM #1
2. September 22nd 2008, 03:11 PM #2
Try using powers in parentheses. This expression is equivalent to
$((a/b) \cdot x)^{1/2}$
where
$x = ((b/a) \cdot (a/b)^{1/2})^{1/2}$.
Let's evaluate x.
$x = ((a/b)^{-1}... | 4 | [
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0.158203125,
-0.029296875,
0.108398437... | 36,754 | 36754 | |
Complex Numbers
Date: 03/11/2003 at 06:41:57
From: Shawn Yapp
Subject: Complex Numbers
z^4 + z^3 + z^2 + z + 1 = 0
This is a question the class got asked to factorise. Not even the
teacher could get it! Please show me how to get the solution.
Date: 03/11/2003 at 12:23:27
From: Doctor Douglas
Subject: Re: Complex N... | 5 | [
-0.1005859375,
0.0751953125,
0.004608154296875,
0.08837890625,
0.0023651123046875,
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0.01904296875,
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0.07373046875,
0.064453125,
-0.10498046875,
-0.0252685546875,
-0.052978515625,
0.006... | 36,755 | 36755 | |
Does anyone want a pretty Maass form?
up vote 30 down vote favorite
11
A few months ago, I was curious about some properties of Maass cusp forms, of nonabelian arithmetic origin. As a result, I went through a somewhat predictable process of finding a totally real $A_4$
extension of $Q$, lifting the resulting projectiv... | 4 | [
-0.107421875,
-0.04296875,
0.00081634521484375,
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-0.08154296875,
0.01031494140625,
-0.03662109375,
0.0062255859375,
-0.04833984375,
0.0196533203125,
0.02490234375,
-0.053955078125,
0.0166015625,
0.02685546875,
-0.027587890625,
0.058349609375,
-0.05517578125,
-0.03... | 36,756 | 36756 | |
Circle and Walking Problem
March 26th 2007, 03:41 PM #1
Circle and Walking Problem
Thee friends--whose walking rates are 1ft./sec, 3ft/sec, and 6ft./sec--start out together walking in the same direction around a circular track that is 300 feet in circumference. After how many
minutes are the three of them tog... | 4 | [
0.002838134765625,
-0.048095703125,
-0.0703125,
-0.0233154296875,
0.02392578125,
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0.01007080078125,
0.01611328125,
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0.056640625,
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0.03125,
0.0164794921875,
0.01361083984375,
-0.032958984375,
-0.06298828125,
0.12011... | 36,757 | 36757 | |
Solve β3 cosxtanx+ cosx=0 , where 0β€x<2(Pi)
You can factor out $\cos(x)$ to give $\cos(x)(\sqrt{3}\tan(x) + 1) = 0$ Hence either $\cos(x) = 0 \text{ or } \sqrt{3}\tan(x)+1=0$
Thanks both of you, but i am still having issues. I'm doing a practice provincial exam for Pmath 12 and I haven't done this stuff in half a year... | 4 | [
-0.11279296875,
0.0045166015625,
-0.0113525390625,
-0.015869140625,
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0.056884765625,
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0.0107421875,
-0.0021514892578125,
0.0184326171875,
-0.0230712890625,
-0.04907226... | 36,758 | 36758 | |
Word problem on quad. equation
September 28th 2009, 06:25 AM
Ilsa
Word problem on quad. equation
on a journey of 250 km, a driver calculated that by increasing his average speed, by 5 km/h, he would take 25 minutes less. find his usual average speed , correct to 2 dec. places.
Ans: 52.33 km/h
i really ... | 4 | [
0.032470703125,
0.0306396484375,
0.051513671875,
-0.04833984375,
-0.037353515625,
0.0098876953125,
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0.0303955078125,
-0.072265625,
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0.08935546875,
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0.059326171875,
0.0184326171875,
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0.072265625,
0.008056640625,
0.037353... | 36,759 | 36759 | |
Stochastic Processes
December 8th 2009, 03:10 AM #1
Junior Member
Joined
Dec 2009
Posts
30
Exponential Distribution
Suppose three particles are particle projected, P, Q and R. Each particle is projected once. The projection is modelled as an exponentially distributed random variable. Assuming that the av... | 5 | [
-0.00020503997802734375,
0.038818359375,
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-0.03076... | 36,760 | 36760 | |
3 Calculus Problems
January 7th 2007, 10:45 AM
asnxbbyx113
3 Calculus Problems
If x^2+y^2=8100 and dy/dt=3, find dx/dt when y=72.
A man starts walking north at 5ft/s from a point P. Five minutes later, a woman starts walking south at 4ft/s from a point 1300ft due east of P. At what rate are the people movin... | 5 | [
0.0289306640625,
-0.07421875,
0.006622314453125,
0.0303955078125,
0.0194091796875,
0.0159912109375,
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0.01171875,
-0.014892578125,
-0.025390625,
0.1259765625,
0.041748046875,
-0.00176239013671875,
0.056396484375,
-0.002655029296875,
0.026123046875,
-0.031494140625,
0.... | 36,761 | 36761 | |
Finding a Formula for Mixtures
Date: 11/10/2003 at 21:41:56
From: Gaye
Subject: algebra story problem
Alfredo needs to make 250 ml of a 27% alcohol solution, using a 15%
solution and a 40% solution. How much of each should he use?
Date: 11/11/2003 at 12:57:35
From: Doctor Ian
Subject: Re: alegebra story problem
H... | 4 | [
0.019775390625,
0.0223388671875,
0.056396484375,
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set of all finite subsets of a continuum has cardinality continuum
February 3rd 2010, 07:02 PM
minivan15
set of all finite subsets of a continuum has cardinality continuum
Hi. I'm learning about equivalent sets in a real analysis class and am struggling a bit with the abstractness of it. Would someone be able to... | 5 | [
0.0267333984375,
0.02099609375,
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0.06884765625,
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0.022216796875,
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0.06591796875,
-0.043212890625,
-0.052001953125,
0.027587890625,
-0.00543212890... | 36,763 | 36763 | |
al
CombinePvals - combining probabilities from independent tests of significance into a single aggregate figure
use CombinePvals;
my $obj = CombinePvals->new ($reference_to_list_of_pvals);
my $pval = $obj->method_name;
my $pval = $obj->method_name (@arguments);
There are a variety o... | 4 | [
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0.0302734375,
0.01318359375,
0.00543212890625,
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0.0146484375,
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0.007598876953125,
0.05419921875,
0.0791015625,
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0.02978515... | 36,764 | 36764 | |
how to show the eigenvalues of a jacobi matrix.
To find the eigenvalues, you need to evaluate $\Delta_n := \det(B-\lambda I)$. Expand along the top row to see that $\Delta_n = (a-\lambda)\Delta_{n-1} - bc\Delta_{n-2}$. Thus $\Delta_n$ satisfies
the difference equation $\Delta_n - (a-\lambda)\Delta_{n-1} + bc\Delta_{n-2... | 5 | [
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-0.08740234375,
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0.031005859375,
-0.03369140625,
0.0029754638... | 36,765 | 36765 | |
Remainder Theorem
May 24th 2009, 10:06 AM #1
Newbie
Joined
Dec 2008
Posts
9
Remainder Theorem
Hi, Im having troubles in understanding how to solve these two equations and how to divide them.
a) (2x^3 + 5x^2 - 2x - 3) / (x +1)
b) (2x^3 - 7x^2 + 16x - 22) / (2x - 3)
Hello,
What do you m... | 4 | [
-0.083984375,
-0.021240234375,
-0.0164794921875,
0.07177734375,
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0.02490234375,
0.0133056640625,
-0.00811767578125,
-0.058837890625,
0.008... | 36,766 | 36766 | |
Quadratic Concepts -- Different Types of Solutions to Quadratic Equations
The heart of the quadratic formula is the part under the square root: b2β4acb2β4ac size 12{b rSup { size 8{2} } - 4 ital "ac"} {}. This part is so important that it is given its own name: the
discriminant. It is called this because it discriminat... | 4 | [
-0.0233154296875,
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0.08203125,
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-0.005859375,
-0.0439453125,
... | 36,767 | 36767 | |
the area of a triangle in a rectangle
November 17th 2009, 04:43 AM #1
Newbie
Joined
Nov 2009
Posts
3
the area of a triangle in a rectangle
Hi all!
Not sure if it's the right part of the forum, but:
Rectangle PQRS with Triangle PTV T between Q and R, V between R and S
PQ=10m, PS=12m , TR=xm... | 4 | [
0.0027313232421875,
0.09033203125,
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0.10546875,
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0.05615234375,
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0.05322265625,
0.0322265625,
-0.00701904296875,
0.007568359375,
0.00... | 36,768 | 36768 | |
Asymptotics of a one-parameter family of Schwartz functions
up vote 1 down vote favorite
For $\tau > 0$ define $\theta_{\tau}(x) = e^{\tau(x-x^{2})}$. I am curious about the asymptotics of $\widehat{\theta}_{\tau}(\tau)$, that is
$\int_{\mathbb{R}} e^{\tau(x - x^{2})}e^{-2\pi i \tau\cdot x}dx\ \sim\ ?\ \ \ \ \ \ \ \ ... | 5 | [
0.01348876953125,
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0.056884765625,
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0.0634765625,
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0.0771484375,
0.0625,
-0.080078125,
0.03173828125,
-0.02490234375,
0.09765625,
-0.067382812... | 36,769 | 36769 | |
Is there an approach to understanding solution counts to quadratic forms that doesn't involve modular forms?
up vote 13 down vote favorite
6
Given a quadratic form Q in k variables, there is an associated theta series $$\theta_Q(z) = \sum_{x\in \mathbb{Z}^k}q^{Q(x)}$$ where $q = e^{2\pi i z}$ which is a modular form o... | 4 | [
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-0.0322265625,
-0.0065... | 36,770 | 36770 | |
Help with an inequality.
October 2nd 2008, 07:57 PM #1
Junior Member
Joined
Sep 2008
Posts
40
Help with an inequality.
$3\ln2<2\ln(x)<2\ln3$
Express the solution x as a set using the notations (
Can anyone help me out?
EDIT: Please don't skip any steps that may seem arbitrary to you =] tha... | 4 | [
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0.0301513671875,
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0.055419921875,
0.052490234375,
-0.080078125,
-... | 36,771 | 36771 | |
help me find the ordered pairs for (x,y)βr if 3 divides x-y (relations)
January 17th 2013, 01:08 PM #1
Newbie
Joined
Jan 2013
From
CO
Posts
7
help me find the ordered pairs for (x,y)βr if 3 divides x-y (relations)
i need to figure out relations, and to that we were taught to find ordered pairs and t... | 4 | [
0.00141143798828125,
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0.03173828125,
0.06396484375,
0.049072265625,
0.005523681640625,
-0.053222... | 36,772 | 36772 | |
Finding 'a' given two summations
November 18th 2012, 02:55 PM #1
Newbie
Joined
Nov 2012
From
Surrey
Posts
10
Finding 'a' given two summations
I've been stuck on how to do this question for over an hour. I clearly don't understand how to do it, hopefully somebody can help explain this to me?
Give... | 4 | [
-0.0732421875,
0.07666015625,
0.0234375,
-0.00726318359375,
-0.033203125,
0.0703125,
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0.040771484375,
0.0230712890625,
0.0576171875,
0.021728515625,
-0.0262451171875,
0.006988525390625,
0.0089111328125,
-0.049560546875,
0.0625,
-0.050537109375,
0.07421875,
-0.07617... | 36,773 | 36773 | |
Limits
This is an experiment in using the World Wide Web to illustrate the intuitive notion of limits in functions of two variables.
If you have access to a browser that supports tables, you may prefer to view the Netscape version.
To say that z = f(x,y) has a limit L as (x,y) approaches (a,b) means that ... | 5 | [
-0.01251220703125,
-0.04296875,
-0.11474609375,
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-0.0133056640625,
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0.06103515625,
0.044189453125,
0.033935546875,
-0.01611328125,
-0.09228... | 36,774 | 36774 | |
Rate of change problem
March 9th 2010, 05:49 PM #1
Junior Member
Joined
Mar 2010
Posts
36
Rate of change problem
So the whole problem is:
If $f$ is the focal length of a convex lens and an object is placed at a distance $q$ from the lens, then its image will be at a distance $p$ from the lens, wher... | 4 | [
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0.0250244140625,
... | 36,775 | 36775 | |
LOVE/HATE MODELING
Modeling of Love-Hate relationships (See programLOVE&HATE)
See: Strogatz S.H., Love Affairs and differential equations, Math. Magazine, 61,35,1988.
Lets imagine a Romeo (R) and Juliet (J) "troubled" romance, where:
R(t)=Romeo's Love/Hate for Juliet at time t
J(t)= Juliet's Love/Hate for Romeo at ... | 4 | [
-0.0859375,
-0.004547119140625,
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-0.00885009765625,
0.0625,
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0.09814453125,
0.039794921875,
0.01055908203125,
0.0003299713134765625,
-0.0023193359375,
0.0291748046875... | 36,776 | 36776 | |
Differentiation - First Principles
Find the derivative of 1 / square root of 2x
from first principles.
hellp !
xx
Quote:
when you see "from first principles" they are talking about using the definition of the derivative.
there are two (equivalent) definitions:
$f'(x) = \lim_{h \t... | 5 | [
0.08251953125,
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0.021240234375,
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0.0086669921875,
-0.0201416015625,
-0.0026... | 36,777 | 36777 | |
The consistency of Martin's Axiom
up vote 10 down vote favorite
2
In learning about the Consistency of Martin's Axiom through Kunen and Jech with help from other set theorists, I have come to a basic question about marrying these proofs:
What is the connection between the nice names argument in Kunen and the boolean ... | 4 | [
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-0.0390625,
0.036376953125,
-0.002105712890625,
-0.01409... | 36,778 | 36778 | |
Vectors, problem with variables
October 17th 2010, 04:27 AM #1
Member
Joined
Mar 2010
Posts
96
Vectors, problem with variables
We have three vectors, a = (1,2,3) b = (2,-1,x) c = (y,z,1). We need to find x, y and z, if the vectors are right-angled.
I am trying to solve it with the dot product. I kno... | 4 | [
-0.0927734375,
-0.04638671875,
-0.0888671875,
-0.0308837890625,
0.002899169921875,
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0.0255126953125,
0.005218505859375,
-0.0634765625,
-0.01531982421875,
-0.0308837890625,
0.007537841796875,
0.07470703125,
0.06494140625,
-0.00726318359375,
0.058837890625,
-0.06445... | 36,779 | 36779 | |
How Many of Each Ticket Were Sold?
Date: 09/06/2001 at 02:59:52
From: Sarah Kromer
Subject: Turning a word problem into an equation
Five hundred tickets were sold for a play, for $8 at the lower level
and $6 at the upper level, totaling $3600. How many of each were sold?
I am having trouble putting this into an equ... | 4 | [
0.032958984375,
0.04296875,
0.036865234375,
-0.0322265625,
-0.07373046875,
0.08154296875,
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0.0966796875,
-0.04638671875,
0.05859375,
-0.04296875,
0.0152587890625,
0.09912109375,
0.056640625,
0.03857421875,
0.0859375,
-0.0439453125,
-0.0081787109375,
-0.138671875,
... | 36,780 | 36780 | |
Finding closest point on line to a point
February 2nd 2010, 11:24 AM
Geomagnet
Finding closest point on line to a point
http://www.geomagnet.net/test/math.jpg
I have been going bonkers trying to figure out what I'm doing wrong.
I am using the proper formula to get the point on a segment which is tangent... | 5 | [
-0.06396484375,
0.060791015625,
-0.040771484375,
-0.07470703125,
-0.019287109375,
0.049072265625,
0.0198974609375,
0.09765625,
0.0032958984375,
-0.01177978515625,
0.01507568359375,
-0.054443359375,
0.08203125,
0.034912109375,
-0.0260009765625,
0.099609375,
-0.03857421875,
-0.046875... | 36,781 | 36781 | |
Little Proof
June 23rd 2010, 03:26 PM #1
Junior Member
Joined
Jan 2010
Posts
43
Little Proof
Hi I'm reading this great book Foundations of Analysis by Edmund Landau, a really old book that aims to build the foundations of analysis from basic arithmetic.
I'm not that strong on proofing yet but am try... | 5 | [
-0.06982421875,
0.00799560546875,
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-0.07421875,
0.078125,
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Derivatives/Integrals, properties of sin/cos
July 19th 2008, 11:29 PM #1
Junior Member
Joined
Jul 2008
Posts
51
Derivatives/Integrals, properties of sin/cos
Q: ΚΚ cos (x +2y) dy dx where 0 < x < pi; 0 < y < pi/2
When I integrate cos(x+2y) wrt y, do I get sin(x+2y)/2? How do I evaluate sin(x + pi)?
... | 5 | [
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Limits using Trig Functions
September 22nd 2008, 04:17 AM #1
Newbie
Joined
Sep 2008
Posts
4
Can someone help me with this: Find the limit if the limit exists:
lim x-tanx
x->0 sinx
lim 1 - sine^2 (1)^2
x->-2- t (t)
Can someone help me with this: Find the limit if the limit exists:
... | 5 | [
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Help needed on two questions!
December 11th 2010, 10:05 AM
NFS1
Help needed on two questions!
Hi, i have recently been trying to complete an assignment of 10 mathematical questions. I have managed to answer 8 of the 10 questions but unfortunately have been unable to answer two. Can some
please show me how to... | 5 | [
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Solve: e^x = 4 sin x
May 5th 2010, 03:21 PM
mathnerd501
Solve: e^x = 4 sin x
Solve the equation, e^x=4sinx ; x is greater than 0, less than 2pi.
how do i figure this out, and i have my ti-83 with me.
May 5th 2010, 03:28 PM
surjective
equation
Hello,
If you use your TI-83, you could simply punch ... | 5 | [
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exponential problem
$\begin{gathered}<br /> 3^{4x} 3^{ - x - 2} = 3^3 3^{ - 2x} \hfill \\<br /> 3^{3x - 2} = 3^{3 - 2x} \hfill \\<br /> \Leftrightarrow 3x - 2 = 3 - 2x \hfill \\<br /> \Leftrightarrow x = 1 \hfill \\ <br
/> \end{gathered} <br />$
I think I got it: Rewrite all of the terms as base 3: 9^(2x) = (3^2)^(2x)... | 4 | [
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help me in this kind of questions
June 21st 2009, 10:14 AM #1
Newbie
Joined
Jun 2009
Posts
5
help me in this kind of questions
please solve this question and also show the steps of solution
1) Lim x->0 x^(2sinx)
ie lim x tends to 0, x to the power 2sinx
2) is L-hospitals rule valid for 0 t... | 5 | [
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Elastic modulus, earthquake waves?
February 1st 2009, 11:29 AM #1
Elastic modulus, earthquake waves?
A longitudinal earthquake wave strikes a boundary between two types of rock at a 35 degree angle. As it crosses the boundary, the specific gravity (SG = d_rock / d_water ) of the rock changes
from 3.7 to 2.8. ... | 4 | [
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Intersecting group orbits, version 2
up vote 2 down vote favorite
2
This question follows up a previous question, Intersecting group orbits.
Suppose a group $G$ acts transitively on a set $X$ of $n$ elements, where $n$ is even, and consider the induced action on the set $\binom{X}{n/2}$ of subsets of $X$ of size $n/2... | 5 | [
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Free subgroups vs law
up vote 13 down vote favorite
5
Consider the following two conditions for a group $G$:
(1) $G$ does not satisfy a nontrivial law.
(2) $G$ contains a non-abelian free subgroup.
Obviously (2) implies (1) and it is easy to construct torsion groups that do not satisfy any law (e.g., the direct pr... | 4 | [
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Existence of nonnegative solutions to an underdetermined system of linear equations
up vote 0 down vote favorite
Similar questions have been asked elsewhere, but I think this is sufficiently different to warrant a new post. I have a particular matrix $A$ and would like to know when the system $Ax = 0$ has at
least one... | 4 | [
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Hawking radiation: pure and thermal mixed states are a micron away
I think that the recent paper by
Raju and Papadodimas
(
arXiv
) is the most convincing and least confusing paper about the black hole information available to the infalling observer that has been written on this planet so far.
However, I also th... | 4 | [
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inverse trig integration:two methods=two diff ans HELP!!
April 1st 2008, 04:35 PM
i_zz_y_ill
inverse trig integration:two methods=two diff ans HELP!!
Q is whats the integral of (3)divided by(9x^2+6x+5) with no limits....
...method 1. ..............9( x^2 + (2/3)(x) + (5/9) )
=9( (x^2 + 1/3 )^2 + 4/9 )
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Which monoidal categories are equivalent to their centers?
up vote 6 down vote favorite
1
Let $\mathcal C$ be a monoidal category. Recall that the (Drinfel'd) center of $\mathcal C$ is the braided monoidal category $Z(\mathcal C)$ with:
β’ Objects: pairs $M \in \mathcal C$ and $\mu: M\otimes(-) \overset\sim\to (-)\o... | 4 | [
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Matrix Proof
January 18th 2009, 12:09 PM #1
Member
Joined
Jan 2009
Posts
91
Matrix Proof
Determine the typical (j kth) entry in A*A^T and the typical entry in A^T * A
Explain why it follows that if A*A^T or A^T * A is the zero matrix, then A = 0
Since we are able to multiple $A A^t$ and $A^t A$ ... | 4 | [
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pigeonhole principle
up vote 5 down vote favorite
2
Hi everyone
I saw a question on Mathoverflow asking for some applications of pigeonhole principle, among the answers I saw a problem set which was proposed by Prof. Richard Stanley and in this problem set there
was a question which I am interested on it, here it is... | 5 | [
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... | 36,797 | 36797 | |
Derivative of 3x^2+6x+5/Sqrt(x)
in any case just use the formula d(x^n)/dx = nx^(n-1) also remember derivative of sum or difference of functions is sum or difference of derivatives. ie., ( u+/- v)' = u' +/ - v'
Your answer is not right. You can approach this in either of two ways: 1. Divide the denominator into the nu... | 4 | [
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... | 36,798 | 36798 | |
speed
July 4th 2007, 09:32 AM
twistedmexican
speed
(a) A car traveling at a speed of v can brake to an emergency stop in a distance x. Assuming all other driving conditions are all similar, if traveling speed of the car doubles, the stopping
distance will be (1) β2x, or (2) 2x, or (3) 4x: (b) a driver travel... | 4 | [
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