content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
GRE Question
October 13th 2009, 07:48 AM #1
Member
Joined
May 2006
Posts
148
Thanks
1
GRE Question
Here are two different problems that I need help understanding.
If 15 workers can pave 18 driveways in 24 days, how many days would it take 40 workers to pave 22 driveways?
And a similar quest... | 4 | [
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Groups of matrices that preserve several quadratic forms
up vote 6 down vote favorite
4
Given two (or more) quadratic forms (on the same vector space) consider the group of matrices that preserve these forms, i.e. $Q_i=U Q_i U^T$, $i=1,2..,k$ What is known about such groups? (at least
for k=2 and the forms are symmetr... | 4 | [
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0.002410888... | 38,101 | 38101 | |
Parameters Describing Elliptical Orbits
βββββββββββββββββββββββββ―ββββββββββββββββ―βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ―βββββββββββββββββββ
β β β ... | 4 | [
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Finite sums with Binomial and Catalan inverses
up vote 0 down vote favorite
1
In a recent failed-post about some partial sums with respect to the Central Binomial and Catalan number the formulas $$\sum_{k=0}^n\frac{4^k}{B_k}=\frac{4^{n+1}(2n+1)}{3 B_{n+1}}+\frac{1}{3}$$ $$\
sum_{k=0}^n\frac{4^k(k+1)}{B_k}=\frac{4^{n+1... | 5 | [
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Canceling and Reducing When Multiplying Several Fractions
Date: 01/25/2008 at 09:56:07
From: Renee
Subject: cancellation in multiple fractions
I need help when multiplying three or more fractions. I know how to
cancel diagonally when the fractions are right next to each other. I
know how to cancel the numerator and... | 4 | [
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proof by induction
November 19th 2005, 06:03 PM #1
Newbie
Joined
Nov 2005
Posts
4
induction, how do i begin?
prove by induction that for every natural n and every x>0
(e^x) > 1 + x/1! + (x^2)/2! + ... + (x^n)/n!
it says we can assume that we know basic properties of derivatives and integrals, bu... | 5 | [
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... | 38,105 | 38105 | |
Div of f(r), what is the secret?
July 1st 2011, 05:22 AM
Hanga
nabla f(r), what is the secret?
Hey all!
I'm currently reviewing my multivariable calculus and vector analysis for re-exams in August. This is a problem that has been showing up more than once and back before I thought I got it but now
I rea... | 5 | [
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[SOLVED] Multiplication with complex numbers
October 3rd 2009, 09:53 AM
Nrt
[SOLVED] Multiplication with complex numbers
I need to derive this equation and get the below result.
$((a^2-b^2)^2+a^2b^2)(a^2+b^2)=a^6+b^6$
$===>$$(a^2-iab-b^2)(a+ib)=a^3-ib^3$
Also a hint teacher gave us:
replace
... | 5 | [
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Step-by-step Solution of Equation in One Variable
Date: 05/13/98 at 01:25:36
From: Alicia
Subject: Linear equations. Formula please!
I have been working at this problem:
2 - 2(w + 6) = 2(w + 5)
The answer sheet says the answer should be -5, but I've gotten all
kinds of weird answers. I think I'm just misusing t... | 4 | [
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On the paper "On the asymptotic linearity of Castelnuovo-Mumford regularity"
up vote 1 down vote favorite
I have posted this question on MSE, however it seems not to be interested by member there, so I decided to post it here. I am sorry if you feel it is not appropriate for MO.
I am now reading the paper on Casteln... | 4 | [
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Quartic function
In mathematics, a quartic function, is a function of the form
$f(x)=ax^4+bx^3+cx^2+dx+e,$
where a is nonzero, which is defined by a polynomial of degree four, called quartic polynomial.
Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quad... | 4 | [
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trig help please!!!
January 19th 2010, 02:06 PM #1
Newbie
Joined
Nov 2009
Posts
7
Solve the equation:
Ο-3arccosΞΈ=0
all i understand is arccosΞΈ=0 means cos0=ΞΈ
but i'm getting confused when there is a value multiplying arc
the answer is arccosΞΈ=Ο/3,ΞΈ=cosΟ/3 =1/2
$\pi-3Cos^{-1}\th... | 4 | [
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Equivalence Relations
Equivalence Relations
A relation on A is an equivalence relation if it is reflexive, symmetric and transitive. An
example of such is equality on a set. One might think of equivalence as a way to glob together
elements that can be ... | 4 | [
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Existence of a multiplicative inverse
October 15th 2013, 01:42 PM #1
Existence of a multiplicative inverse
A quick question this time. I have a number n and number a. Both positive integers such that $1 \leq a \leq n$.
How can I prove the existence of a number c such that $ac \equiv 1 \text{ (mod n)}$
O... | 4 | [
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Doubly Infinite Integral
December 14th 2009, 03:42 PM
junipers232
Doubly Infinite Integral
Show that for any real numbers $a, b, c$ with $a < b < c$ we have
$PV \int^{\infty}_{-\infty} \frac{1}{(x-a)(x-b)(x-c)}dx =0.$
I know, in general that the Cauchy principal value of a doubly infinite integral of ... | 5 | [
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C
ME 208
Class No. 11876
S. F. Felszeghy Fall 2005
STATICS AND STRENGTH OF MATERIALS
WEEK DATE TOPICS PROBLEMS
1 Sep. 26 1.1 - 1.6; 2.1 - 2.3 1-10, 1-13, 1-15, 1-18
Sep. 28 2.4 - 2.7 2-3, 2-13, 2-21, 2-49
2 ... | 5 | [
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Question about vector space isomporhism
November 6th 2011, 07:11 AM #1
Junior Member
Joined
Feb 2011
Posts
54
Question about vector space isomporhism
Let p1(t), p2(t) be two polynomials in the F[t] polynomial ring, where F is a field. Let Γ1 be a congruence relation for: r(t) Γ1 s(t) <==> p1(t)|r(t) - s(... | 5 | [
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Solution Using Verbal Argument and Model
Date: 02/06/2002 at 19:53:12
From: Tansy Woo
Subject: Whole numbers
Dear Dr. Math,
I am a teacher of primary school in Singapore. I have a challenging
question and I am trying to explore all the possible heuristic
approaches so that I can explain better to my students. They ... | 4 | [
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Series integration
We have to calculate Integrate[e^(-x^2),{x,0,0.1}] using series theory. Any help? Thanks!
$<br /> \int_0^{0.1} e^{-x^2}dx<br />$ We will do this by expanding the integrand as a power series and then integrating term by term. $<br /> e^x=\sum_{n=0}^{\infty} \frac{x^n}{n!}<br />$ so: $<br
/> e^{-x^2}... | 5 | [
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Tough algebra
Last edited by Punch; February 11th 2010 at 08:17 PM.
OMG, did you try solving a cubic polynomial using the quadratic formula or what ? Anyway, here's a start to simplification (I can't really do anything at the moment) : note that $\frac{\sqrt{a}}{a} =
\frac{1}{\sqrt{a}}$. Apply this to your equation wi... | 5 | [
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Dual of a Specht module
up vote 6 down vote favorite
1
For a partition $\mu$ of $n$, let $S^{\mu}$ be the associated Specht module, defined over $\mathbb{Z}$. For any field $k$, we can tensor $S^{\mu}$ with $k$ to get a representation $S^{\mu}_k$ of the
symmetric group $S_n$ over $k$. Finally, let $A_n \cong \mathbb{Z... | 4 | [
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... | 38,120 | 38120 | |
Double integral help (possible polar coordinates)
November 10th 2012, 09:45 AM
calculuskid1
Double integral help (possible polar coordinates)
So im trying to solve this problem, and im having serious issues setting up the integral. What is given is:
SS (1/(x^2 + y^2)^2) dxdy, where the region is determined b... | 5 | [
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Exponential and logarithmic
April 8th 2008, 03:52 AM
chaneliman
Exponential and logarithmic
hey, i haven't been for quite a while
1. If you invest $100 at 2% per day, compounding daily, the amount of money you would have after x days is given by y=100(1.02)^x. For how many days would you have to invest to d... | 4 | [
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Blowing down -1 curves
up vote 3 down vote favorite
1
After a good look for anything in the way of an explicit example, and harassing the algebraic geometers in the department, I still am unable to find an answer to my question, so any light will be
very much appreciated.
Suppose we have blown up $\mathbb{P}^2$ at so... | 5 | [
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Q on Motion a coordinate line
December 29th 2010, 05:45 AM #1
Senior Member
Joined
Oct 2009
Posts
290
Q on Motion a coordinate line
Hi all
Q 1 )
Partical mothion At time t >= 0 the velcity of a body moving along the s-axis is v = t^2 - 4t + 3
a ) Find the body's acceleration each time the vol... | 4 | [
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... | 38,124 | 38124 | |
Need help and confirmation about some notational symbols
April 26th 2012, 09:26 AM
mrproper
Need help and confirmation about some notational symbols
What does $Z[X]/(x^n-1)$ mean?
Z[X] must be the ring of all polynomials with coefficients in Z.
This makes $(x^n-1)$ an ideal ???
And $Z[X]/(x^n-1)$ th... | 5 | [
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-0.0... | 38,125 | 38125 | |
z^2 = x^3+2xy^2-x
January 15th 2007, 04:27 PM #1
Member
Joined
Nov 2006
Posts
123
z^2 = x^3+2xy^2-x
For the surface defined by z^2 = x^3+2xy^2-x, describe as best you can the traces in planes parallel to the yz-plane.
Please teach me how to do this question. Thank you very much.
Hello, Jenny!
... | 4 | [
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0.026611328125,
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0.00... | 38,126 | 38126 | |
Questions Involving Divisiblity
August 20th 2009, 02:07 AM #1
Newbie
Joined
Jul 2009
From
Australia
Posts
8
Questions Involving Divisiblity
Hi,
Could someone help me solve this, please.
Show by Induction that for n >= 1:
(3^(3n)) + (2^(n+2)) is divisible by 5
Thanks.
Last edit... | 4 | [
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0.0019683837... | 38,127 | 38127 | |
General Robert E. Lee
Document created: 13 January 04
Air University Review, March-April 1972
General Robert E. Lee
and Modern Decision Theory
... | 4 | [
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0.02978515625,... | 38,128 | 38128 | |
Dimension of affine variety
up vote 0 down vote favorite
Assume that I have $k$ polynomials $f_1(x_1,\ldots x_n),f_2(x_1,\ldots x_n),\ldots f_k(x_1,\ldots x_n)$ in $n>k$ variables. Is it possible to calculate, ,i.e., does there exist a fast algorithm, the
dimension of the variety $Z(f_1,\ldots f_k)$?
Does there exist... | 4 | [
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-0.004089355468... | 38,129 | 38129 | |
eek
June 21, 1997
This Week's Finds in Mathematical Physics (Week 105)
John Baez
There are some spooky facts in mathematics that you'd never guess in a million years... only when someone carefully works them out do they become clear. One of them is called "Bott periodicity".
A 0-dimensional manifold is pretty dull:... | 4 | [
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Arrangement
Date: 07/12/99 at 01:42:03
From: Katia Adge
Subject: Reducing the number of permutations using the probability of
occurrences
How can I reduce the number of arrangements of the word ARRANGEMENT by
using the probability of an occurrence?
In this example, knowing that this word has 11 letters, 2 R, 2 A, 2... | 4 | [
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-0.0041198... | 38,131 | 38131 | |
Algebra problems
February 18th 2008, 05:21 PM
p4l1ndr0m3
Algebra problems
I've got my head stuck around these 2 problems. I'm trying to factor these polynomials, but I just can seem to get them.
The first one is f(x) = x^3 + x^2 - 8x - 6
The 2nd one is f(x) = x^5 + 3x^4 - 4x^3 - 11x^2 - 3x + 2
I'd... | 4 | [
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0.06689453125,
-0.039306640625,
0.0084228515625... | 38,132 | 38132 | |
Math Forum Discussions
Re: Trigonometric area optimization
Posted: Dec 15, 2012 8:54 AM
Ok, Adam. I'll give it a try, since you have furnished us with this very entertaining and really simple problem.
First, graph the line whose equation we have been given, which is y = 10 - 2x. We immediately know that 10 is the y i... | 5 | [
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-0.00106811523437... | 38,133 | 38133 | |
FunctionsFor the functions f(x)=x^2 and g(x)=(x-7). Find if f(g(x)) = g(f(x)). What is g(f(2))? - Homework Help - eNotes.com
Functions
For the functions f(x)=x^2 and g(x)=(x-7). Find ifΒ f(g(x)) = g(f(x)).Β What is g(f(2))?
Since the composition of 2 functions is not commutative, then (fog)(x) is not the same with (g... | 4 | [
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0... | 38,134 | 38134 | |
RWJ 7th Edition Solutions
CHAPTER 21 B-311
CHAPTER 21
CREDIT AND INVENTORY
MANAGEMENT
Answers to Concepts Review and Critical Thinking Questions
1. a. A sight draft is a commercial draft... | 5 | [
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-0.... | 38,135 | 38135 | |
Show that dy/dx is +ve when a < x < b
December 15th 2011, 03:23 AM
angypangy
Show that dy/dx is +ve when a < x < b
I have a differentiation problem which starts with
$y = x^2 (4 - x)$
I have to find dy/dx. No problem there, get
$f'(x) = 8x - 3x^2$
Then to find values of x where dy/dy = 0
... | 4 | [
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-0.04052734375,... | 38,136 | 38136 | |
What is the universal deformation of the formal additive group $\widehat{\mathbb{G}}_a$ over $\mathbb{F}_p$?
up vote 8 down vote favorite
2
Lubin and Tate show in their paper Formal moduli for one-parameter formal Lie groups that for any formal group over a field $k$ of characteristic $p>0$ with height $h<\infty$, the... | 4 | [
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... | 38,137 | 38137 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: How to fit a sine wave to under-sampled data
Repli... | 5 | [
-0.162109375,
0.03173828125,
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0.07080078125,
0.0228271484375,
-0.03015136718... | 38,138 | 38138 | |
dy
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Here's the question you clicked on:
QRAwarrior Group Title
Evaluate the defini... | 5 | [
-0.0272216796875,
0.049560546875,
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0.015869140625,
0.041748046875,
-0.09375,
0.0458984375,
0.0174560546875,
-0.081... | 38,139 | 38139 | |
Prove these functions are orthogonal
October 20th 2009, 05:48 PM #1
Junior Member
Joined
Sep 2008
Posts
48
Prove these functions are orthogonal
Hi, can anyone help me solve this:
2 functions f and g are orthogonal on [a,b] if:
$\int_a^b f(x)g(x)dx = 0$
Prove that $f_{m}(x) =$sin $mx$ and $... | 4 | [
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0.06982421875,
0.0173... | 38,140 | 38140 | |
Comparing two different methods
August 10th 2010, 08:57 PM #1
Newbie
Joined
Apr 2010
Posts
16
Comparing two different methods
Two different means of assessing the students have been suggested. First using a normal distribution and secondly using fixed percentages for each rating.
Using the normal di... | 4 | [
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0.04638671875,
0.0004673004150390625,
0.00628662109375,
0.08203125,
-0.00204... | 38,141 | 38141 | |
Resistance Across Cubic Network
Date: 12/18/2003 at 23:50:34
From: Jack
Subject: How to solve a cube of resistors for total resistance
I'm trying to compute the resistance between opposing corners of the
following cube:
A------B Each of the twelve edges of the cube is
/| /| a resistor of... | 5 | [
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0.... | 38,142 | 38142 | |
Writing Repeating Decimals as Fractions
Date: 11/8/95 at 19:12:32
From: Anonymous
Subject: Mathematics Grade 8
When you are expressing a repeating decimal as a fraction, why is it
you use 9, 99, 999, or 9999 etc. in the denominator?
For example, 0.5555...(5 repeating) equals 5/9.
Please help and thanks in advance.... | 4 | [
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0.01080322265625,
0.0277099609375... | 38,143 | 38143 | |
Why Multiply Two Complex Numbers?
Associated Topics || Dr. Math Home || Search Dr. Math
Why Multiply Two Complex Numbers?
... | 4 | [
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0.079101... | 38,144 | 38144 | |
Indices simplification
Use the laws of indices to simplify each of the following, giving answers with positive indices only. SQRL{81A^6.B^2.C^-4/36A^2.B^6.C^4}
$\sqrt{\frac{81a^6 \cdot b^2 \cdot c^{-4}}{36a^2 \cdot b^6 \cdot c^4}}$ $\sqrt{\frac{9a^6 \cdot b^2 \cdot c^{-4}}{4a^2 \cdot b^6 \cdot c^4}}$ $\left(\frac{9a^6... | 4 | [
0.02490234375,
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0.11279296875,
-0.0556640625,
0.074707031... | 38,145 | 38145 | |
Do Abel summation and zeta summation always coincide?
up vote 23 down vote favorite
9
This is a more focused version of Summation methods for divergent series.
Let $a_n$ be a sequence of real numbers such that $\lim_{x \to 1^{-}} > \sum a_n x^n$ and $\lim_{s \to 0^{+}} > \sum a_n n^{-s}$ both exist. (In particula... | 5 | [
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... | 38,146 | 38146 | |
Intervals of Increase and Decrease
May 29th 2009, 11:30 AM #1
Member
Joined
May 2009
Posts
93
Find the intervals of increase and decrease for the given function:
f(x)=x^2 - 4x + 5
the book has the answer:
f(x) is increasing for x>2;f(x) is decreasing for -1<x<1
I would just like to kno... | 4 | [
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-0.047851... | 38,147 | 38147 | |
Divisibility of Nine-Digit Numbers
Date: 03/08/98 at 19:50:10
From: Jacob Hall
Subject: math help
Can you find a nine-digit number such that the first digit is
divisible by one, the first two digits are divisible by 2, the first
three digits are divisible by 3,..., the whole nine-digit number is
divisible by nine?
... | 4 | [
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-0.00823974609375,... | 38,148 | 38148 | |
Sets N, R, C, Z, and Q
Date: 01/22/2001 at 06:40:57
From: Fenja, Eva & Liliane
Subject: Sets N, R, C, Z, Q
Hello Dr. Math,
Could you help us with these questions?
1) What are the exact and extensive definitions of the sets N, R, C, Z
and Q?
2) What proportion do these sets bear to one another?
We thank you in... | 4 | [
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0.00445556640625... | 38,149 | 38149 | |
Instantaneous and Time-Overangle Protection Against Three-Phase Faults on Radial Electrical Power Systems
INTRODUCTION
Protection of the transmission line, one of the main components of the radial electrical power system, has a central role in power system protection because transmission lines are vital elements of
th... | 4 | [
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0.0... | 38,150 | 38150 | |
Sum of series
September 6th 2010, 05:10 AM #1
Senior Member
Joined
Oct 2009
Posts
459
Sum of series
I've done the first part of the question but I'm not sure about the second part. I have some special results that might be required for it but they possibly aren't required.
Yes but I would usually ha... | 4 | [
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0.049072265625,
0.026367187... | 38,151 | 38151 | |
remainder when divided by 7
What is the remainder when (1^3)+(2^3)+(3^3)+...+(1990^3) is divided by 7?
Try to prove: If x is integer, then x^3(mod7)=0 or 1 or 6
We need merely note that $\displaystyle \left\lfloor\frac{1990}{7}\right\rfloor=284$ and that $\displaystyle 7\cdot 284=1988$. From this we can note that $\d... | 5 | [
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0.029... | 38,152 | 38152 | |
How to solve for x ?
totalnewbie $<br /> x^{1/2}+x-2=0<br />$ Substitute $y=\sqrt{x}$, then the equation becomes: $<br /> y^2+y-2=0<br />$ then solve for $y$, and examine all the possible solution to determine which are
sensible. Note: As $y^2+y-2$ factorises to $(y-1)(y+2)$ so does $x^{1/2}+x-2$ to $(x^{1/2}-1)(x^{1/2... | 4 | [
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-0.06396484375,
... | 38,153 | 38153 | |
number identity
what is the value of this number identity? (sec 11)(sec 19) - (2 cot 71) = ?
Matt, it is degrees. I am too lazy to learn LATEX. Sorry for the mishap . . . . i wonder what trigonometric identity generated this strange number.
Hello pacmanI haven't an exact answer, but a simplification of the expression... | 5 | [
-0.09521484375,
0.103515625,
-0.022216796875,
-0.0128173828125,
0.0016937255859375,
0.095703125,
-0.0108642578125,
0.048828125,
0.004730224609375,
0.0086669921875,
0.05029296875,
-0.09716796875,
-0.0087890625,
0.04296875,
0.00341796875,
-0.1123046875,
-0.0216064453125,
0.0013046264... | 38,154 | 38154 | |
expectation, variance, covariance
July 30th 2011, 12:47 AM
bingunginter
expectation, variance, covariance
I'm stuck on this problem :
X and Y is normal random var with mean(x) = 1 and mean(y) = 2 and variance(x)=1 and variance(y) = 4 and covariance(x,y)=1.
U = X-Y
V = X+Y
find E(U),Var(U),Cov(... | 4 | [
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0.0400390625,
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0.05029296875,
0.05078125,
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0.0262451171875,
-0.025390625,
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-0.09765625,
-0.09716796875,
-0.0... | 38,155 | 38155 | |
Bounding a sum of binomial coefficients in terms of 'the next one'
up vote 1 down vote favorite
I need to bound a sum of a portion of binomial coefficients in terms of "the next one", and understand what is the best which can be said in this sense.
Given a real number $t \geq 2$, call $P(t)$ the following assertion.
... | 5 | [
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0.0084228515625,
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0.051025390625,
0.034912109375,
0.0255126953125,
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-0.125,
0.032470703125,
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0.01031494140625,
0.035888671875,
0.10986328125,
... | 38,156 | 38156 | |
Financial mathematics
June 29th 2007, 01:13 AM #1
Newbie
Joined
May 2007
Posts
2
Firstly I would thank Soroban by helping me last time.Thanks again
Guyz please any one help me with the following questions :-
If you took R50 000.00 and invested it in an investment where you were receiving 7% comp... | 4 | [
0.047119140625,
0.0291748046875,
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0.1328125,
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0.10546875,
0.07373046875,
-0.0301513671875,
-0.12060546875,
-0.015502929687... | 38,157 | 38157 | |
Second-Year Advanced Microeconom
Second-Year Advanced Microeconomics: Behavioural Economics
Behavioural Decision Theory: Probabilistic judgment, Hilary Term 2010
Vincent P. Crawford, University of Oxford
(with very large debts to Matthew Rabin, Botond KΔ±szegi, David Laibson, and ... | 5 | [
0.016357421875,
0.013671875,
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0.1484375,
0.06396484375,
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0.0186767578125,
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-0.0419921875,
... | 38,158 | 38158 | |
1.3. Stochastic Gradient Descent
1.3. Stochastic Gradient DescentΒΆ
Stochastic Gradient Descent (SGD) is a simple yet very efficient approach to discriminative learning of linear classifiers under convex loss functions such as (linear) Support Vector Machines and
Logistic Regression. Even though SGD has been around in ... | 5 | [
-0.05322265625,
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0.029296875,
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0.0026702880859375,
0.0559082031... | 38,159 | 38159 | |
Completing the square.
November 21st 2011, 12:36 PM #1
Newbie
Joined
Nov 2011
Posts
4
Completing the square.
Original problem: x/12=5/2x+7 (in proportion view) and i got it to: x^2 + 7x=60 and then x^2 + 7/2x = 30 Need help wit the rest please.
Last edited by mr fantastic; November 21st 2011 at 04:1... | 4 | [
0.0201416015625,
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need this problem sloved
no it is suppose to 6 over 14 = 7 over x-3 proportion but i don't know how to write fractions on the computer help.
Note the format the Jameson used: 6/14 = 7/(x - 3) First reduce the fraction on the LHS: 3/7 = 7/(x - 3) Multiply both sides of the equation by 7(x - 3): 7(x - 3)*(3/7) = 7(x - 3... | 4 | [
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0.07666015625,... | 38,161 | 38161 | |
Could Someone Please Help Me With This Applied Differentiation/Integration Question
Last edited by charlottewill; March 15th 2012 at 02:52 AM.
Start by letting L = 4r. You then have a function in two unknowns. The maximum will be at points where the partial derivatives are 0 and the Hessian is negative definite, or if... | 4 | [
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... | 38,162 | 38162 | |
s
Some Thoughts on the Number 6
John Baez
May 27, 2014
In his book Twelve Geometric Essays, now reprinted by Dover under the title The Beauty of Geometry, Coxeter has an essay with an ominous title, roughly, "12 points in PG(3, 5) with 95040
self-transformations." In the first two pages of this essay he shows that n... | 4 | [
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-0.07... | 38,163 | 38163 | |
Trig Functions in Three Problems: Graphing, Solving, and Factoring
Date: 05/15/98 at 04:53:07
From: Carolyn
Subject: graph sin x - cos x
I am taking Math 12 by correspondence, and it's been years since I was
in school. Since I haven't had math since grade 10, I'm having a few
problems. I actually have three question... | 4 | [
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0.037841796875,
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0.09765625,
0.042724609375,
-0.01806640625,
0.01116943359375,
-0.0055541... | 38,164 | 38164 | |
Water draining out of spherical bowl
August 28th 2013, 10:33 AM #1
Newbie
Joined
Mar 2010
Posts
12
Water draining out of spherical bowl
Hi,
Its been 3 years since I've posted here. And I find myself trying to review the basics of calc before moving on to bigger things.
I found this problem in m... | 4 | [
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-0.031494140625,
-0.0625,
0.06787109375,... | 38,165 | 38165 | |
Polynomials questions again... part 5
July 12th 2009, 03:28 AM #1
Member
Joined
Jun 2009
Posts
78
Polynomials questions again... part 5
I don't know how to solve this!
1. Find all possibles values of k such that the equation $x^2-(k-3)x+k^2+2k+5=0$ has real roots. If $\alpha$ and $\beta$ are real ro... | 4 | [
0.00384521484375,
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0.027587890625,
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0.00830078125,
0.005767822265625,
0.02099609375,
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0.02978515625,
0.01806640625,
-0.01623535... | 38,166 | 38166 | |
Solve The Difference Equation
April 29th 2009, 03:31 PM
louboutinlover
Solve The Difference Equation
$f_{n+2} - 2f_{n+1}+ 5f_n = 0$
given that $f_0=1$ and $f_1=3$
Auxiliary equation:
$m^2 - 2m + 5 = 0$
Therefore:
$m = 1 + 2i$ or $m = 1 - 2i$
What would the complementry fuction be an... | 5 | [
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0.00921630859375,
0.0107421875,
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0.042724609375,
0.004852294921875,
0.034423828125,
0.0224609375,
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0.003021240234375,
0.004913330078125,
-0.00701904296875,
-0.01464843... | 38,167 | 38167 | |
x-intercept of tangent to parabola
January 8th 2006, 08:18 AM
frozenflames
x-intercept of tangent to parabola
Show that the tangent to the parabola Y=Ax^2 (for A does not equal 0) at the point where x = c will intersect the x axis at the point (c/2 , 0 . Where does it intersect the y axis.
January 8th 2006, 09:... | 5 | [
0.025390625,
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-0.001129150390625,
0.0272216796875,
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0.13671875,
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-0.073242... | 38,168 | 38168 | |
Global sections of a linear system
up vote 2 down vote favorite
3
Recently, following Beauville's book (exercises iv.(1),(2)) I have been working on Hirzebruch surfaces (from the algebraic geometry point of view) and I had to compute the space of global sections of
several linear systems. For instance, if $h$ is a sec... | 4 | [
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0.037109375,
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-0.030029296875,
-0.06494140625... | 38,169 | 38169 | |
Why does tan^2 y = x
August 28th 2012, 04:06 PM #1
Why does tan^2 y = x^2
Hello,
I continue to struggle with trig.
The question is:
Given that $x = \tan y$ show that $\dfrac{dy}{dx} = \dfrac{1}{1 + x^2}$.
The answer given, most of which I follow, is:
$\dfrac{d}{dy} (\tan y) = \sec^2 y$
... | 4 | [
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0.033935546875,
-0.0274... | 38,170 | 38170 | |
Nondegenerate inner product proof
November 8th 2011, 01:44 PM #1
Member
Joined
Sep 2008
Posts
79
Nondegenerate inner product proof
Take n-tuples from the field of 4 elements. Define a Hermitian inner product (u,v)H by setting (u,v)H equal to the sum of all u * v^2 in the same place (its basically the sam... | 5 | [
0.0191650390625,
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0.00787353515625,
0.... | 38,171 | 38171 | |
inverse by mod
May 13th 2008, 01:44 PM #1
Member
Joined
Jan 2008
Posts
114
inverse by mod
You have intercepted a long sequence of numbers and noticed that the
most frequently occurring numbers were 13 and 7, in this order. You
know that the ciphertext was obtained with an affine enciphering
t... | 4 | [
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-0.068359375,
0.008... | 38,172 | 38172 | |
Recursion/induction
October 2nd 2009, 05:46 AM #1
Senior Member
Joined
Jan 2009
Posts
296
Recursion/induction
Let a0 and a1 be distinct real numbers
Set an=(an-1+an-2)/2 for each n>=2
Use induction to show that:
an+1-an=(-1/2)^n*(a1-ao)
-----------
If we take fore n=2...a2=a1+a0/... | 5 | [
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0.01531982421875,
0.0101318359375,
0.03637695312... | 38,173 | 38173 | |
Equations of the tangent that pass through a point
February 12th 2011, 10:49 AM #1
Member
Joined
Nov 2010
Posts
119
Equations of the tangent that pass through a point
I'm trying to determine the tangents to the curve $f(x)=2x^2+3$ that pass through the point $(2,3)$
I got the first equation right, b... | 4 | [
0.00811767578125,
-0.06201171875,
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-0.00238037109375,
0.00872802734375,
0.061767578125,
0.01904296875,
0.058837890625,
0.07861328125,
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0.01416015625,
0.0986328125,
-0.091796875,
-0.04736328125,
... | 38,174 | 38174 | |
Existence of a regular subposet which collapses everything except the top cardinal
up vote 9 down vote favorite
2
Suppose $\delta$ is an inaccessible cardinal, and $\mathbb{P}$ is the Levy Collapse $\text{Col}(\kappa, \delta)$ which adds a surjection from $\kappa \to \delta$ (for some regular $\kappa < \delta$).
It is... | 5 | [
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... | 38,175 | 38175 | |
elated to Bertrand's
Journal of Integer Sequences, Vol. 1 (1998), Article 98.1.2
Some Problems of Combinatorial Number Theory Related to Bertrand's Postulate
... | 5 | [
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... | 38,176 | 38176 | |
Series converge or diverge?
May 21st 2008, 01:05 AM
Rui
Series converge or diverge?
Use what test?
a) β(from n=1 to infinity) (arctan n/ n^1.2)
b) β(from n=1 to infinity) ( (n^n) / (2n)! )
Not sure how to do these...when i do it using ratio test, it turns out really weird..so yea i need help.
... | 5 | [
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0.00799560546875,
-0.05029296875,
-0.0037689208984375,
0.0393... | 38,177 | 38177 | |
Quantum Physics
March 25th 2006, 05:04 AM
topsquark
Quantum Physics
I've been trying this one by the "brute force" method and have gotten essentially nowhere, so I was wondering if there is a more elegant way to approach it.
__________________________________________________ _________________________________... | 5 | [
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0.03515625,
-0.04052734375,
-0.06... | 38,178 | 38178 | |
Bit rusty on my log rearranging
June 12th 2009, 06:18 AM
Joel
Bit rusty on my log rearranging
Can you help me with these
Rewrite these relations in index form (that is, without using logarithims):
(a) logΞ± (x + y) = logΞ± x + logΞ± y
(b) log ββ x = 3 + log ββ y
(c) logβ x = 4logβy
(d) 2logβx ... | 4 | [
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0.053955078125,
-0.1396... | 38,179 | 38179 | |
Tricky integral question..need a little info..
March 16th 2010, 12:45 PM #1
Junior Member
Joined
Dec 2009
Posts
55
Tricky integral question..need a little info..
Solve: (int) x^2 -x +12/(x^3 + 3x)
This is what I did so far...
x3 + 3x = x(x^2 +3)
= A/x + Bx+C/(x^2 +3)
= A(x^2+3) + Bx+C(... | 5 | [
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0.0167236328125,
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0.004302978515625,
0.04296875,
... | 38,180 | 38180 | |
Is the following a rational number?
December 3rd 2009, 03:00 PM
Pinkk
Is the following a rational number?
Is $x = (\sqrt{2 + 3^{1/5}} + 7^{1/3})^{1/6}$ a rational number? Prove your answer.
I know it isn't and that I need to rewrite $x$ in the form $a_{0} + a_{1}x + ... + a_{n-1}x^{n-1} + a_{n}x^{n} = 0$, b... | 5 | [
0.016357421875,
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0.051513671875,
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0.005035400390625,
-0.04150390625,
0.01446533203125,
-0.111816... | 38,181 | 38181 | |
How to work a fractional exponent? Need non decimal answer!
December 19th 2010, 07:56 AM #1
Newbie
Joined
Dec 2010
Posts
17
How to work a fractional exponent? Need non decimal answer!
So on a recent test I ran into this, I wasnt sure how to work the first part because I couldnt figure out the fraction fo... | 4 | [
0.0732421875,
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0.01904296875,
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0.14453125,
0.01470947265625,
0.080078125,
-0.0308837890625,
0.0483398437... | 38,182 | 38182 | |
Coordinates of a centroid
July 15th 2008, 01:34 PM
shanniepooh2
Coordinates of a centroid
The coordinates of the centroid for f(x) = x "for all" epislon[0,2] are (4/3, 2/3); how far away is the centroid for the planner figure governed by g(x) = 3x^2 along the same interval
a. (3/2, 18/5)
b. Exactly 3.9 ... | 5 | [
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... | 38,183 | 38183 | |
Power from Its Base and a Little String?
Date: 04/11/2012 at 11:34:14
From: Diogo
Subject: Find the exponent of a power from the last K digits
Hi,
I would like to know if there's a way to find the exponent of a base
given the last K digits of its decimal expansion.
For example, take seven as a base, and 143 as the ... | 5 | [
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0.04638671875,
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0.068359375,
-0.0252685546875,
-0.037109375,
-0.053955... | 38,184 | 38184 | |
Functions separting points in Hausdorff spaces
up vote 13 down vote favorite
1
A colleague in algebra asked me this, and I couldn't answer it. On the Wikipedia page for "epimorphism" it is claimed that in the category of Hausdorff spaces and continuous maps, a function is epi
if and only if it has dense range. The "if... | 5 | [
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... | 38,185 | 38185 | |
Math Help
Show that if $m^4+4^n$ is prime, then $m$ is odd and $n$ is even, except when $m=n=1$.
well, if $m$ is even, then obviously $4 \mid m^4 + 4^n$ and so $m^4 + 4^n$ cannot be prime. if $n=2k+1, \ k \geq 1,$ then putting $a=2^k$ we have $4^n=4^{2k+1}=4a^4.$ now $m^4+4^n=m^4+4a^4=(m^2+2a^
2+2ma)(m^2+2a^2-2ma)$ a... | 4 | [
0.09765625,
0.057373046875,
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0.064453125,
0.0152587890625,
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0.0615234375,
0.041015625,
-0.0771484375,
0.0179443359375,
0.049560546875,
-0.0239257812... | 38,186 | 38186 | |
trig function - proof
June 7th 2008, 01:40 PM #19
June 7th 2008, 12:54 PM #18
Junior Member
June 7th 2008, 05:23 AM #17
Junior Member
June 7th 2008, 05:13 AM #16
If for the first one you are asking how to by hand solve $2\sin(2\theta)\cos(2\theta)=1$ Using a trig identity we have$\sin(4\theta)=1\Rightarrow{\ar... | 5 | [
-0.087890625,
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0.042724609375,
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0.00482177734375,
0.06689453125,
-0.0517578125,
0.0224609375,
0.00527954101562... | 38,187 | 38187 | |
Matrix operations in Java
Introduction
This article introduces some basic methods in Java for matrix additions, multiplications, inverse, transpose, and other relevant operations. The matrix operations are explained briefly and external
links are given for more details. The main functions are given as static utility m... | 4 | [
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0.025390625,
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-0.07373046875,
-0.0262451171875,
-0.032470703125,
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0.0849609375,... | 38,188 | 38188 | |
Multiplying different bases with different exponent
June 19th 2011, 12:09 PM #1
Newbie
Joined
Jun 2011
Posts
16
Multiplying different bases with different exponent
I'm doing a very basic pre algebra "refreshment", and for an assignment I need to simplify the following, leaving my answer as a single base ... | 4 | [
0.03564453125,
-0.035888671875,
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0.0166015625,
0.03564453125,
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0.024658203125,
0.001953125,
0.00174713134765625,
-0.00347900390625,
-0.03125,
0.002593994140625,
0.0595703125,
0.05322265625,
0.0216064453125,
-0.1796875,
0.12109375,
-0... | 38,189 | 38189 | |
Polymath1Wiki
Imo 2012
From Polymath1Wiki
This is the wiki page for the mini-polymath4 project, which will seek a solution to a problem from the 2012 International Mathematical Olympiad, held in Argentina from July 10-11. The project will
start at Thursday, July 12, 2012 at 22:00:00. It will be held primarily at the... | 5 | [
-0.037353515625,
0.083984375,
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0.031494140625,
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0.056640625,
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0.048583984375,
-0.049560546875,
0.051513671875,
0.0244140625,
-0.00... | 38,190 | 38190 | |
trig identity
i need help with this identity, could someone tell me where i went wrong & help me?
Hello, boonies! Your simplifying was off . . . $({\color{blue}\tan\theta\cos\theta} + 2\cos\theta)^2 + \left(2\sin\theta - {\color{red}\frac{\sin\theta}{\tan\theta}}\right)^ 2 \;=\;5$ . . ${\color
{blue}\tan\theta\cos\the... | 4 | [
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-0.04296875,
0.06298828125,
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Finding Limits
February 3rd 2010, 04:37 PM
frenchguy87
Finding Limits
I need to find the lim (squ(1+2x)-squ(1+3x)) / (x+2x^2) as x goes to 0 and where x>0.
Would you multiply by the conjugate?
February 3rd 2010, 05:10 PM
xalk
February 3rd 2010, 05:23 PM
mr fantastic
Quote:
$\lim_{x \to 0} \fra... | 4 | [
-0.0303955078125,
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0.001434326171875,
0.029541015625,
-0.060791015625,
-0.000751495361328125,
-0.0130004... | 38,192 | 38192 | |
A more direct proof of Dedekind Reciprocity
up vote 1 down vote favorite
1
Question: Let $s(p,q)=\sum_{i=1}^{q-1}((i/q))((pi/q))$ where (p,q)=1 and $((x))=x-[x]-1/2$ for $x\notin Z$. I want to prove that $s(p,q)+s(q,p)=(p/q+\frac{1}{pq}+q/p)/12-1/4$ using at least one of
the following four methods.
i. I tried proving... | 4 | [
-0.0223388671875,
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0.08544921875,
0.03198242187... | 38,193 | 38193 | |
Analogues of Luzin's theorem
up vote 21 down vote favorite
12
If $X$ is a compact metric space and $\mu$ is a Borel probability measure on $X$, then the space $C(X)$ of continuous real-valued functions on $X$ is a closed nowhere dense subset of $L^\infty(X,\mu)
$, and hence bounded measurable functions are generically... | 5 | [
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0.0223388671875,
0.0274658203125,
-0.00592041015625,
-0.0004482269287109375,
0... | 38,194 | 38194 | |
question about the recursion equation: $x_{n+1}x_{nβ1}=x_n^2(1β4x_n)$
up vote 4 down vote favorite
1
Hi all,
I am trying to slove the recursion equation: $x_{n+1}x_{nβ1}=x_n^2(1β4x_n)$ in the form of $x_n=x_n(x_1,x_2)$ or $x_n=x_n(c_1,c_2)$, and finally get the limit of the ratio: $\dfrac{x_n}{x_{n+1}}$.
I tried the... | 5 | [
-0.09033203125,
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0.01336669921875,
-0.0189208984375,... | 38,195 | 38195 | |
linear equationstatement that a first-degree polynomialβthat is, the sum of a set of terms, each of which is the product of a constant and the first power of a variableβis equal to zeroa constant.
Specifically, a linear equation in n variables is of the form a0 0Β +Β a1x1 1Β + Β· Β· Β· Β β¦Β +Β anxnΒ = 0Β c, in which x1, . . . β¦, ... | 4 | [
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0.0083... | 38,196 | 38196 | |
answers-5-bc-ic
Chapter 4 Individual and Market Demand
Chapter Summary
This chapter focuses on how purchase decisions respond to variations in price and income.
The indifference curve analysis developed in Chapter 3 is used as a basis for virtually all the... | 5 | [
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Methods for proving non FO definability
up vote 2 down vote favorite
1
I'm having difficulties to prove that the subset of even numbers is not first-order definable in $(\mathbb{N},<)$. Any hint is welcomed!
More generally, what are usual techniques in order to prove that a subset is not FO-definable. I know one usin... | 5 | [
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Isolated hypersurface singularities, Chow groups and D-branes
up vote 6 down vote favorite
4
Say a ring $R$ is an isolated hypersurface singularity if $R = k[x_1, \ldots, x_n]_{(x_1, \ldots, x_n)}/(W)$, where $k$ is a field and $W \in k[x_1, \ldots, x_n]$ is such that the ideal $(\partial_1
W, \ldots, \partial_n W)$ i... | 4 | [
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... | 38,199 | 38199 |