content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Simple Trigonometry Help
January 24th 2009, 09:18 PM #1
Newbie
Joined
Jan 2009
Posts
16
Simple Trigonometry Help
Hey umm how do i find the degrees for sin thetha = - sqrt of 3 /2
The degree answer in my textbook says 240 degrees?
You should know that the reference angle is $\sin^{-1} \frac{\sqr... | 4 | [
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-0.0274658... | 37,000 | 37000 | |
th
Math::PlanePath::ImaginaryHalf -- half-plane replications in three directions
use Math::PlanePath::ImaginaryBase;
my $path = Math::PlanePath::ImaginaryBase->new (radix => 4);
my ($x, $y) = $path->n_to_xy (123);
This is a half-plane variation on the ImaginaryBase path.
54-55 50-51 62-63 58-59 22-23 18-19 3... | 4 | [
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Complex power series help
March 30th 2008, 05:04 AM #1
Newbie
Joined
Mar 2008
Posts
4
Complex power series help
Hello everyone,
Firstly, I am new and my apologies if my questions are buried somewhere in the thread heap already.
I am taking a complex analysis course, and well, its 2complex4me! So... | 5 | [
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... | 37,002 | 37002 | |
How to calculate arc length in unit circle
December 7th 2011, 05:58 AM
subuntu
How to calculate arc length in unit circle
Attachment 23030
What is the method of calculating arc length in In the image above .
x & y is known
Thanks .
Feuilleton :
Obviously, the use of calculators and trigon... | 4 | [
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-... | 37,003 | 37003 | |
Optimization Travel Agency
May 16th 2010, 10:27 AM #1
Newbie
Joined
May 2010
Posts
1
Optimization Travel Agency
A travel agent currently has 80 people signed up for a tour. The price of a ticket is $5000 per person. The agency has chartered a plane seating 150 people at a cost of $250 000. Additional cos... | 4 | [
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chinese remainder theorem
June 22nd 2009, 07:23 PM #1
Junior Member
Joined
Jun 2009
Posts
25
chinese remainder theorem
x congruent to 4 (mod 11)
x congruent to 3 (mod 17)
M = 11 * 17 = 187
so M1 = 11, M2 = 17
i'm trying to find the inverse of M1 and M2 but am unsure how because M1M1' c... | 5 | [
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... | 37,005 | 37005 | |
Challenging Integral?.
June 7th 2008, 09:23 AM #1
Challenging Integral?.
This may not be that bad, but give it a go for those who wish.
Let's see what interesting methods are come up with.
$\int_{0}^{1}ln(x)ln(1-x)dx$
We know that $-\sum_{n=0}^{\infty}\frac{x^{n+1}}{n+1}=\ln(1-x)$
so then I th... | 5 | [
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-0.05493164... | 37,006 | 37006 | |
traveling car
October 30th 2005, 09:20 PM #1
Member
Joined
Sep 2005
Posts
136
please help its urgent
A car traveling at a rate of 30 ft/sec is approaching an intersection. When the car is 120 ft from the intersection, a truck traveling at a rate of 40 ft/sec crosses the intersection. If the
roads are... | 5 | [
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Archimedes and the Area of a Parabolic Segment
Many of his inventions and mathematical discoveries were years ahead of their time. It’s amazing how inventive you become when you are constantly under attack from your enemies.
Finding the area under a curve had been a problem for many years. Fair trade depended (in pa... | 5 | [
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How am I looking at this Limit wrong?
May 19th 2011, 12:27 PM #1
Member
Joined
Aug 2010
Posts
138
How am I looking at this Limit wrong?
Here's the limit I'm working with:
$\displaystyle\lim_{x\to\infty}(1 + \frac{2}{x})^x$
Now, I understand that the correct answer is $e^2$. While I don't fully... | 5 | [
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Domain and Range
August 2nd 2006, 07:53 PM
pashah
Domain and Range
Find the domain and range for each quadratic function.
a. y = x^2 – 6x +5
b. y = 3x^2 + 2x +9
August 2nd 2006, 10:29 PM
CaptainBlack
Quote:
Originally Posted by pashah
Find the domain and range for each quadratic functi... | 4 | [
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Help me with math puzzle
Moderator
Registered: 2010-06-20
Posts: 6,097
Re: Help me with math puzzle
Member
Registered: 2014-06-26
Posts: 29
Help me with math puzzle
30 laborers, working 7 hours a day can finish a piece of work in 18 days. If the laborers work 6 hours a day, then what is the ... | 4 | [
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Is set {x, sinx, sin2x,}in C[0,1] linearly dependent or independent?
March 11th 2009, 08:29 AM
rick81
Is set {x, sinx, sin2x,}in C[0,1] linearly dependent or independent?
Is set {x, sinx, sin2x,}in C[0,1] linearly dependent or independent?
I understand the problem is to show if
c1v1+c2v2+c3v3=0
i... | 5 | [
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Another Trig Antiderivative
February 27th 2008, 12:47 PM #1
Member
Joined
Feb 2008
Posts
102
Another Trig Antiderivative
Here's another one for you folks:
$\int sin^3(x)cos^3(x)dx$
I have no idea which trigonometric identity to use... could you guys give me an idea.
I feel like the only on... | 5 | [
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How do the number of plane curves over a finite field of a fixed genus increase with the degree?
up vote 6 down vote favorite
2
Let $k$ be a finite field. We define $N(d,g)$ to be the number of plane curves $f(x,y)$ defined over $k$ of degree $d$ with (geometric) genus $g$. If $D(d) := (d-1)(d-2)/2$ (the maximum possi... | 5 | [
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Continuously selecting elements from unordered pairs
up vote 15 down vote favorite
3
The symmetric square of a topological space $X$ is obtained from the usual square $X^2$ by identifying pairs of symmetric points $(x_1,x_2)$ and $(x_2,x_1)$. Thus, elements of the symmetric square
can be identified with unordered pair... | 4 | [
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Calculus Homework, Tutor couldn't help, I've hit the wall
The sum of the 6th power identities, huh?. Well, here is my way. Years ago when I figured this out, I thought I had done something. But, it would be silly to think it was original, afterall. Consider
$(k+1)^{7}-k^{7}=7k^{6}+21k^{5}+35k^{4}+35k^{3}+21k^{2}+7k+1$ ... | 5 | [
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number of solutions within 360 degrees
May 17th 2011, 01:01 AM
furor celtica
number of solutions within 360 degrees
Solve the following equation of A, giving solutions in the 0<A<360 inclusive (i don't know how to make the 'or equal to' sign):
sin2A - (sqrt3)(cos2A) =0
So I did it like this
Taking B=... | 4 | [
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-0.0... | 37,017 | 37017 | |
Frobenius method, reduction of order technique
April 29th 2012, 06:45 PM #1
Newbie
Joined
Apr 2012
From
Gotham City
Posts
1
Frobenius method, reduction of order technique
So this is the problem:
xy^'' + y^'- xy = 0
Find the first nonzero terms in a Frobenius series solution of the given diff... | 5 | [
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Factor group order question
April 9th 2008, 02:16 AM #1
Junior Member
Joined
Mar 2008
Posts
33
Factor group order question
$<x> \cong C_9 \cong <y>$ and $G = <x> \times <y>$.
What is the factor group $G/<x^3,y^3>$ order and write it as the direct product of cyclic groups.
Isn't $G/<x^3,y^3>$ has... | 5 | [
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conormal sequence of quotient of locally complete intersection
up vote 1 down vote favorite
1
Let $V=\mathbb{A}_{\mathbb{C}}^n/G$ be an quotient singularity where $G=\mathbb{Z}/r\mathbb{Z}$ and $G$ acts on $\mathbb{A}^n$ by $(x_1,\ldots,x_n) \mapsto (\zeta^{a_1}x_1,\ldots,\zeta^{a_n}x_n)$ ($\
zeta$: $r$-th root of uni... | 4 | [
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0.... | 37,020 | 37020 | |
Truth value of the statement
September 30th 2008, 05:50 AM #1
Junior Member
Joined
Sep 2008
Posts
37
Truth value of the statement
P(x,y) means "x + 2y = xy", where x and y are integers.
Determine the truth value of the statement.
(a) P(1,-1).
(b) P(0, 0).
(c) ∃y P(3, y).
(d) ∀x ∃y P(... | 4 | [
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Expectation of a Variable
May 11th 2011, 11:37 AM
AshleyT
Expectation of a Variable
Quote:
dice has faces numbered 1 to 6 and is weighted so that the probability of
throwing n (n = 1; 2; :::; 6) in a single throw is proportional to n, i.e., equals
Cn for some constant C.
(a) Find C .
(b) Let... | 4 | [
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Differential Equations and Linear Algebra
Differential Equations and Linear Algebra
2250-2 10:10am 13 Dec 2007
Instructions. The time allowed is 120 minutes. The examination consists of six problems, one for each of
ch... | 5 | [
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Orbit of the identity matrix under Lie group algebra actions
up vote 2 down vote favorite
I would like an explicit description of $\mathbb{R} SO(n) I_n$, i.e., the image of the identity under the action of the group algebra of $SO(n)$ by left multiplication. Equivalently, what is an
explicit description of the vector ... | 5 | [
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0.0412597656... | 37,024 | 37024 | |
Angular and Linear Speed.
May 8th 2013, 05:01 PM #1
Junior Member
Joined
Apr 2012
From
Seattle, Washington
Posts
72
Angular and Linear Speed.
My prof posted this problem as an example and, going over the steps, I haven't been able to work out how he got to the final answer.
A car has tires with ... | 4 | [
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0.078613... | 37,025 | 37025 | |
Sketching Regions in the Complex Plane
March 22nd 2011, 05:49 AM #1
Junior Member
Joined
Mar 2011
Posts
36
Sketching Regions in the Complex Plane
Hi, could someone please show me how to sketch this region?
$A = \left \{ Z\:\epsilon \: \mathbb{C}\, \left | \ \left |Z - i \right | < 3\: and \: Re\, Z ... | 4 | [
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Descriptive Statistics
Statistics provides methods for collecting, organizing, summarizing, presenting, analyzing and interpreting data. For this purpose the study is broadly divided into two branches.
1. Descriptive statistics
2. Inferential statistics
Descriptive statistics provides methods to process raw data ... | 4 | [
0.1318359375,
-0.0179443359375,
-0.0179443359375,
0.060302734375,
-0.0625,
0.0155029296875,
0.01019287109375,
0.059814453125,
0.006866455078125,
0.09912109375,
0.040283203125,
-0.103515625,
0.0458984375,
0.0179443359375,
-0.0029449462890625,
-0.0400390625,
0.02197265625,
-0.0262451... | 37,027 | 37027 | |
Trig Functions
Date: 9/29/96 at 16:19:20
From: Ron Turner
Subject: Help
Dr. Math,
I am having a real problem knowing when to use sine, cosine, and
tangent. I am taking geometry by home study and don't quite
understand.
Thanks!
Shauna
Date: 10/29/96 at 20:16:16
From: Doctor Lynn
Subject: Re: Help
Shauna,
The f... | 4 | [
-0.0859375,
0.03857421875,
-0.00396728515625,
-0.006988525390625,
0.01904296875,
0.01611328125,
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0.06884765625,
0.0615234375,
0.010498046875,
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0.048583984375,
0.04345703125,
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... | 37,028 | 37028 | |
Find the supremum and infimum of S, where S is the set S = {√n − [√n]}
September 29th 2010, 03:25 PM #1
Junior Member
Joined
Sep 2010
Posts
32
Find the supremum and infimum of S, where S is the set S = {√n − [√n]}
Find the supremum and infimum of S, where S is the set
S = {√n − [√n] : n belongs to ... | 5 | [
-0.00628662109375,
0.0225830078125,
0.003387451171875,
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0.0517578125,
0.09912109375,
-0.057373046875,
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-0.140625,
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0.0478515625,
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0.09423828125,
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-0.... | 37,029 | 37029 | |
This is a mean with percentage problem...
May 23rd 2012, 11:12 AM #1
This is a mean with percentage problem...
Mr. Ramirez and Ms. Jonsey gave tests to their classes with the results seen in the table.
Overall Mean Mean for Females Mean for Males Percent Females
Ramirez 218 230 ... | 5 | [
0.068359375,
0.033203125,
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0.006927490234375,
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-0.06494140625,
0.01416015625,
0.00634765625,
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0.024902343... | 37,030 | 37030 | |
complex problem
Find the real values of the parameter a for which at least one complex number z=x+iy satisfies $|z+\sqrt{2}|=a^{2}-3a+2$ and $|z+i\sqrt{2}|<a^2$
|z- a|= r can be interpreted as a circle, in the complex plane, with center at a and radius r. In particular, $|z+ i\sqrt{2}|= a^2$ is a circle with center at... | 4 | [
-0.039794921875,
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0.0263671875,
0.076171875,
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0.0003910064697265625,
-0.10888671875,
... | 37,031 | 37031 | |
Fractional Algebriac Equation help!!
September 16th 2012, 01:26 PM #1
Newbie
Joined
Sep 2012
From
CT
Posts
5
Fractional Algebriac Equation help!!
Hi, when I try to solve the equation below, I come up with 36, as seen below. I multiply each term by two in order to get rid of the fractions. The correct... | 4 | [
-0.025146484375,
-0.0107421875,
0.01177978515625,
0.01513671875,
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0.01263427734375,
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0.013427734375,
0.08984375,
0.0294189453125,
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0.0244140625,
-0.01239013671875,
0.0250244140625,
0.0037841796875,
-0.08642578125,
0.032226... | 37,032 | 37032 | |
Rational expressions
September 15th 2006, 03:30 PM
danielle_54321
Rational expressions
Simplifying Rational expressions.
4x + 4/ 3x-3 X 6x - 6/5x+5
the question askes to simplify by bringing both terms to lowest common terms before multiplying. The answer is supposed to be 8/5, where 1, -1 are not equa... | 4 | [
-0.01019287109375,
-0.00022411346435546875,
0.08544921875,
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0.0284423828125,
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0.033935546875,
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0.044921875,
0.064453125,
-0.04296875,
0.0849609375,
-0.05517578125,
0... | 37,033 | 37033 | |
C/N Ratio
Tom Richard and Nancy Trautmann
Once you have calculated the moisture content of your compost mixture, the other important calculation is the carbon-to-nitrogen ratio (C/N). Grass clippings and other green vegetation tend to have a
higher proportion of nitrogen (and therefore a lower C/N ratio) than brown v... | 4 | [
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0.03564453125,
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0.06884765625,
... | 37,034 | 37034 | |
Binomial distribution
April 25th 2010, 12:03 AM #1
Member
Joined
Jul 2007
Posts
147
Binomial distribution
Hello!
My Problem:
A crossword puzzle is published in a magazine 6 times a week(all days except Sunday). A woman is able to complete on average eight out of ten crosswords. Given that she co... | 5 | [
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0.05126953125,
-0.0234375,
-0.031005... | 37,035 | 37035 | |
Math Help
March 4th 2014, 02:07 PM #1
Newbie
Joined
Jan 2013
From
Portugal
Posts
4
vectors
I want to proof that, given vector a non zero and a vector b, so
$a.b=0 <=> \exists c: c\times a=b$
I know how to proof <=
but how to proof =>?
My try:
$a.b=0 => \exists c: c\times a=b$
... | 4 | [
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0.00994873046875,
-0.03173828125,
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0.09521484375,
0.0439453125,
0.1240234375,
0.02685546875,
0.02587890625,... | 37,036 | 37036 | |
Medicine and Math - Math Central
Natasha Glydon
Both doctors and nurses use math every day while providing health care for people around the world. Doctors and nurses use math when they write prescriptions or administer medicat... | 4 | [
0.06396484375,
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0.07568359375,
-0.08740234375,
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-0.0130615234375,
-0.01818847656... | 37,037 | 37037 | |
Tarski's caracterisation of REGULAR cardinals
up vote 1 down vote favorite
Alfred Tarski, in his paper "Ueber unerreichbare Kardinalzahlen" Fund. Math. 1938 proves the following ZFC theorem "if the cardinal of the set Y is equal to the cardinal of the set of subsets of Y
that are not equipotent to Y, then the cardinal... | 5 | [
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-0.006744384765625,
-0.00408935546875,
-0.024658203125,
-0.0294189453125,
-0.06689453... | 37,038 | 37038 | |
Finding Least Common Multiple (LCM) by Factoring
Date: 10/19/2001 at 01:13:45
From: Laura
Subject: Prime factoring
My math book has the example:
Find the least common multiple of 6, 8, and 9.
6 = 2 x 3 8 = 2 cubed 9 = 3 squared
the least common multiple of 6, 8, and 9 is
2 cubed x 3 squared... | 4 | [
0.06298828125,
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0.01513671875,
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-0.0155029296875,
0.0130615234375,
-0.08642578125,
0.... | 37,039 | 37039 | |
Cardan's Cubic Method
Date: 7/19/96 at 23:36:50
From: Peter W. Messer
Subject: Cardan's Cubic Method; an Algebraic Mess
Dear Dr. Math,
Cardan's well known formula solution of cubic equation
x^3 - 3x^2 - x - Sqrt[2] = 0 gives us a single "monstrous" algebraic
real root which appears to defy further simplification to... | 5 | [
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0.052978515625,
0.00830078125,
0.015625,
-0.061767578125,
0.0185546875... | 37,040 | 37040 | |
Two-convexity ⇒ Lefschetz?
up vote 30 down vote favorite
7
Assume that
• $\Omega$ is an open simply connected set in $\mathbb R^n$
• (two-convexity) if 3 faces of a 3-simplex belong to $\Omega$ then whole simplex in $\Omega$.
Is it true that any component of intersection of $\Omega$ with any 2-plane is simply co... | 4 | [
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-... | 37,041 | 37041 | |
L'Hospital's Rule True/False
November 23rd 2008, 11:53 AM
coldfire
L'Hospital's Rule True/False
Hi, can anyone tell me which of these are wrong?
1. The indeterminate form of type "0/0" can approach any real number as a limit -- False
2. There is a natural number n such that the power function f(x)=x^n ... | 5 | [
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0.0184326171875,
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0.03564453125,
-0.019775390625,
-0.03125,
-0.0458984375,
-0.01782226562... | 37,042 | 37042 | |
2
RECITATION PROBLEMS
CHAPTER 2
WEEK 3
2.30
Blackout? A jet fighter pilot wishes to accelerate from rest to 5g to reach Mach 3 (three
times the speed of sound) as quick... | 4 | [
0.03466796875,
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0.0098876953125,
-0.033447265625,
-0.055908203125,
0.0181884765625,
0.09521484375... | 37,043 | 37043 | |
Math Help
April 26th 2010, 03:18 AM #1
Fourier series
Find the Fourier series of the function $f(x)$, with a period of $2\pi$, defined by
$f(x)=$
$x : 0\leq x\leq\pi$
$0 : -\pi\leq x<0$
(Sorry, couldn't get the coding right to write it out properly).
I need a fairly lengthy explanation on... | 5 | [
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0.045166015625,
0.046630859375,
0.06591796875,
-0.034423828125,
0.05126953125,
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0.005950927734375,
0.013671875,
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0.031005859375,
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-0.0169677734375,
-0.010498046875,
0.02001953125,
-0.10107421875,
0.047119140625,
-0.1069... | 37,044 | 37044 | |
How do I make the conceptual transition from multivariable calculus to differential forms?
up vote 91 down vote favorite
106
One way to define the algebra of differential forms $\Omega(M)$ on a smooth manifold $M$ (as explained by John Baez's week287) is as the exterior algebra of the dual of the module of derivations... | 4 | [
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0.0849609375,
0.054931640625,
-0.045166015625,
0... | 37,045 | 37045 | |
Integration
June 24th 2008, 01:59 AM #1
Junior Member
Joined
Apr 2008
Posts
72
Integration
Here a few questions i had solved by the method that was asked for can someone please check my answers:
1) find integrate 4x/(x^2+2x+5) dx
I got 2ln((x+1)^2+4) -2Arctan((x+1)/2) +C
2) find integrate ... | 4 | [
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0.01953125,
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0.032958984375,
0.0267333984375,
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0.020263671875,
-0.0201416015625,
-0.0257568359375,
0.08154296875,
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0.000637054443359375,
0.005157470703125,
-0.053466796875,
0.029296875,
0.049560546875,
0.0354... | 37,046 | 37046 | |
Lie group analysis and similarity solutions for hydro-magnetic Maxwell fluid through a porous medium
Abstract
The equations of two dimensional incompressible fluid flow for hydro-magnetic Maxwell fluid through a porous medium have been studied. Lie group analysis has been employed and the group invariant
solutions are... | 5 | [
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-0.045166015625,
0.04833984375,
-0.043212890625,
0.09228515625,
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0.0419921875,
0.030029296875,
-0.07958984375,
-0.1494140625,
0.031982421875,
... | 37,047 | 37047 | |
Does there exist an event independent of a given sigma-algebra?
up vote 11 down vote favorite
4
The following question came up in a discussion with my advisor:
Let $(\Omega, \mathcal F, \mathbb P)$ be a non-trivial probability space, and suppose that $\mathcal G$ is a proper sub-$\sigma$-algebra of $\mathcal F$. ... | 5 | [
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0.0390625,
0.02099609375,
-0.0234375,
0.038330078125,
-0.0191650390625,
-0.0358886718... | 37,048 | 37048 | |
Calc Word Problem... Need Help!
April 12th 2010, 05:47 PM #1
Member
Joined
Dec 2009
Posts
96
Calc Word Problem... Need Help!
I have been trying to figure out this problem. I have the answers in the back of the book and saw an attempt of it online, and still am not understanding what was done.
The qu... | 5 | [
-0.00543212890625,
0.01483154296875,
-0.0184326171875,
-0.037841796875,
-0.0162353515625,
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0.041748046875,
0.0196533203125,
-0.052490234375,
0.1005859375,
-0.004425048828125,... | 37,049 | 37049 | |
Trigonometry Word Problem
January 26th 2009, 03:15 PM #1
Newbie
Joined
Jan 2009
Posts
2
Trigonometry Word Problem
A sailor at the seashore watches a ship with a smokestack 30 meters above water level as the ship steams out to sea. The sailor's eye level is 4 meters above water level. About how far is the... | 4 | [
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0.049560546875,
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0.06396484375,
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0.017822265625,
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0.0096435546875,
0.026123046875,
0.00433349609375,
0.060791015625,
-0.058349609375,
-0.016... | 37,050 | 37050 | |
Sketching graphs
January 3rd 2013, 01:28 PM
bensho92
Sketching graphs
Can anyone help me in sketching a graph of N against t from this?
$N(t) = \frac {-6}{25}$t^2 + $\frac {6}{5}t$
Maybe then i can figure out how to then sketch a graph of this(Thinking):
$N(t) = \frac {-1}{25}$t $(t – 5) (t + 4)$... | 5 | [
-0.1376953125,
-0.0189208984375,
0.052734375,
-0.0634765625,
-0.03173828125,
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0.056640625,
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0.0118408203125,
0.0517578125,
0.00836181640625,
-0.047607421875,
0.07421875,
-0.034423828125,
0.041015625,
-0.01495361328125,
-0.10986328125,... | 37,051 | 37051 | |
Explicit metrics
up vote 40 down vote favorite
17
Every surface admits metrics of constant curvature, but there is usually a disconnect between these metrics, the shapes of ordinary objects, and typical mathematical drawings of surfaces.
Can anyone give an explicit and intuitively meaningful formulas for negative... | 5 | [
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-0.06005859375,
0.0537109375,
-0.0230712890625,
-0.059326171875,
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0.10400390625,
0.095703125,
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0.056884765625,
0.01806640625,
-0.09228515625,
0.0810546875,
0.0119... | 37,052 | 37052 | |
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Topic: ode45 solver and outputfcn
Replies: 2 Last Post: A... | 5 | [
-0.1337890625,
0.01043701171875,
0.00096893310546875,
-0.04541015625,
0.034423828125,
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0.0003719329833984375,
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0.103515625,
0.0291748046875,
-0.0517578125,
0.035888671875,
-0.044921875,
0.04296875,
-0.07275390625,
-... | 37,053 | 37053 | |
The Inverse of the Euler Totient Function
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
How can we calculate the cardinality of the inverse of Totient function of any positive integer n ? I tried going through this pape... | 5 | [
0.0047607421875,
-0.041748046875,
0.034423828125,
0.0004634857177734375,
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0.0125732421875,
0.1376953125,
0.0201416015625,
-0.01287841796875,
-0.031982421875,
0.039306640625,
0.033203125,
-0.076171875,
-0.0517578125,
0.046142578125,
0.03564453125,
0.... | 37,054 | 37054 | |
lottery game question
January 26th 2011, 12:18 AM #1
Senior Member
Joined
Nov 2010
From
Hong Kong
Posts
255
lottery game question
Question. Consider the following lottery game involving two urns:
- Urn A: five balls, labelled 1 to 5
- Urn B: five balles, four green and one red.
Tickets c... | 5 | [
-0.064453125,
0.039794921875,
0.01416015625,
-0.059814453125,
-0.01708984375,
0.068359375,
0.10595703125,
-0.01519775390625,
0.046875,
0.060302734375,
-0.09619140625,
-0.01031494140625,
0.0576171875,
0.0011138916015625,
0.04931640625,
0.01153564453125,
-0.0174560546875,
-0.06103515... | 37,055 | 37055 | |
Green's Theorem
March 1st 2013, 06:37 AM
usagi_killer
Green's Theorem
http://img546.imageshack.us/img546/3171/integralbo.jpg
For the above expression, I was told that it can be proven using Green's Theorem on the line integral on the RHS, however I can't seem the prove the equality.
Note that $G$, $H$... | 4 | [
-0.123046875,
0.064453125,
0.12255859375,
-0.08447265625,
0.0751953125,
-0.033935546875,
0.0262451171875,
0.0732421875,
0.00151824951171875,
0.027587890625,
-0.029052734375,
-0.04052734375,
0.021728515625,
-0.08056640625,
0.050537109375,
0.051025390625,
-0.09375,
0.032470703125,
... | 37,056 | 37056 | |
General gluing theorem for adjunction spaces
up vote 3 down vote favorite
Consider the following interesting theorem:(7.5.7, p.294 in Topology and Groupoids by Ronald Brown)
Gluing theorem for adjunction spaces: Suppose that we have the following commutative diagram of topological spaces and continuous maps:
where $... | 4 | [
0.01019287109375,
-0.053955078125,
0.064453125,
-0.060546875,
-0.00194549560546875,
0.1103515625,
0.1103515625,
0.0234375,
-0.030517578125,
0.00897216796875,
0.08154296875,
0.023681640625,
-0.03466796875,
0.045654296875,
0.072265625,
0.052001953125,
-0.03271484375,
-0.0177001953125... | 37,057 | 37057 | |
Center of a Symmetric Group on an Infinite Set
up vote -1 down vote favorite
Let $X$ be a set, $G$ the group of bijection on $X$. Then it is well-known that if $|X|\geq 3$, $Z(G)$ is trivial. However, I cannot see a way of extending this proof to $X$ being an infinite set
(other than when a bijection only moves finite... | 5 | [
-0.052978515625,
0.0213623046875,
0.031494140625,
0.02490234375,
0.0240478515625,
-0.01519775390625,
0.07373046875,
-0.0208740234375,
0.013427734375,
-0.00225830078125,
-0.022705078125,
0.022216796875,
0.0556640625,
-0.04931640625,
0.0267333984375,
-0.01519775390625,
0.00927734375,
... | 37,058 | 37058 | |
Marathon Prizes
Associated Topics || Dr. Math Home || Search Dr. Math
Marathon Prizes
Date: 01/10/98 at 22:15:49
... | 4 | [
-0.0081787109375,
-0.0120849609375,
0.0361328125,
-0.0595703125,
-0.04833984375,
0.142578125,
-0.03564453125,
0.054931640625,
-0.01153564453125,
-0.021484375,
-0.054931640625,
0.0035858154296875,
0.000934600830078125,
0.06689453125,
-0.030517578125,
-0.0030364990234375,
-0.0216064453... | 37,059 | 37059 | |
Tangent Function and the Unit Circle
Date: 06/06/2002 at 06:43:05
From: Andy
Subject: Trigonometric Functions and the Unit Circle
Hi Dr. Math,
I have a question regarding a response in your archive:
Trigonometric Functions and the Unit Circle
http://mathforum.org/library/drmath/view/53941.html
In this response... | 4 | [
-0.087890625,
-0.016845703125,
0.01416015625,
0.047119140625,
0.0169677734375,
-0.042236328125,
-0.004119873046875,
0.06591796875,
0.09423828125,
0.01251220703125,
0.0654296875,
0.050048828125,
0.0081787109375,
0.024658203125,
-0.0037384033203125,
-0.02490234375,
-0.058837890625,
-... | 37,060 | 37060 | |
Spearmans Rank Help
March 16th 2011, 10:22 AM #1
Newbie
Joined
Mar 2011
Posts
2
Hey, I think I'm posting in the right section of the forum. I'm not really sure what Spearman Rank Correlation test falls under. I'm having trouble understanding it fully. I have two sets of
data.
Data 1
6.3
5... | 4 | [
-0.0106201171875,
-0.07080078125,
0.033447265625,
-0.017578125,
0.014892578125,
-0.057861328125,
0.0172119140625,
0.0252685546875,
0.01416015625,
0.03564453125,
0.02392578125,
-0.01519775390625,
0.0128173828125,
-0.006317138671875,
-0.002593994140625,
0.05615234375,
-0.0218505859375,... | 37,061 | 37061 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Crank Nikolson scheme for semi linear parabolic ty... | 4 | [
-0.1083984375,
0.0615234375,
0.0135498046875,
-0.032470703125,
-0.1005859375,
0.0419921875,
-0.037353515625,
0.041015625,
0.0120849609375,
0.021728515625,
0.09423828125,
-0.035888671875,
-0.03857421875,
0.052001953125,
0.05224609375,
0.06689453125,
-0.10546875,
-0.09912109375,
-0... | 37,062 | 37062 | |
transform a polynomial into another one upto a constant
up vote 0 down vote favorite
1
I have a polynomial $p(x)=a_Nx^N+a_{N-1}x^{N-1}+\dots+a_0$. I want to convert this into another polynomial of same order, say $b_Ny^N+b_{N-1}y^{N-1}+\dots+b_0$. Is it possible to find a
transformation $y=f(x)$ that will transform th... | 4 | [
-0.09912109375,
-0.056640625,
-0.043212890625,
0.02001953125,
-0.0225830078125,
0.01953125,
0.0135498046875,
-0.119140625,
0.0238037109375,
-0.048828125,
0.0301513671875,
0.040771484375,
0.00872802734375,
-0.0174560546875,
0.028564453125,
0.060791015625,
0.017333984375,
0.03515625,... | 37,063 | 37063 | |
More antiderivative questions
November 30th 2008, 06:33 PM #1
Newbie
Joined
Nov 2008
Posts
4
More antiderivative questions
1) f(x) = -13/(1 +x^2 )
The question is to find the antiderivative. I'd assume it would be inverse tangent X -13. Am I correct?
2) (1 pt) Given that the graph of f(x) pass... | 5 | [
-0.0478515625,
0.0023040771484375,
0.0849609375,
-0.0157470703125,
0.0274658203125,
-0.0157470703125,
0.0228271484375,
0.05908203125,
-0.0146484375,
0.044921875,
0.123046875,
-0.03271484375,
-0.08056640625,
0.006683349609375,
-0.046875,
0.0252685546875,
0.006866455078125,
-0.028320... | 37,064 | 37064 | |
Inner product of linear bounded operators between Hilbert spaces
up vote 1 down vote favorite
Let $X$ and $Y$ be Hilbert spaces, and let $L(X,Y)$ be the set of bounded linear operators between Hilbert spaces.
Can we equip $L(X,Y)$ with a natural inner product? I think it should look like
$\langle S, T \rangle = \sup... | 4 | [
-0.040283203125,
-0.06494140625,
0.0289306640625,
-0.0849609375,
-0.033935546875,
0.045166015625,
-0.020751953125,
-0.0084228515625,
-0.01513671875,
-0.00250244140625,
-0.018798828125,
0.107421875,
0.0244140625,
0.00872802734375,
0.039306640625,
0.0302734375,
0.072265625,
0.0067749... | 37,065 | 37065 | |
Converting mW to dB
Date: 06/14/2001 at 21:45:44
From: Jeff Carson
Subject: Conversion of mW to dB
I this equation during a radio receiver discussion.
4x10-12mW = -114dBm
How does it equate? What is the math that performs this conversion?
Date: 06/15/2001 at 12:04:22
From: Doctor Peterson
Subject: Re: Conversion... | 4 | [
-0.0361328125,
0.00156402587890625,
-0.123046875,
0.0458984375,
-0.037109375,
-0.06494140625,
0.039306640625,
0.03662109375,
-0.01544189453125,
0.042724609375,
-0.0322265625,
0.006805419921875,
0.11181640625,
0.0478515625,
-0.015380859375,
0.1064453125,
-0.031494140625,
-0.02246093... | 37,066 | 37066 | |
Lagrange Multiplier
March 29th 2009, 07:25 AM #1
Member
Joined
Nov 2007
Posts
232
Lagrange Multiplier
See attach for the question. My answer is incorrect. Where did I go wrong?
$V = x^2y = 900$
$SA = 6xy$
$f_x = 6y$
$f_y = 6x$
$g_x = 2xy$
$g_y = x^2$
$6x = 2xy \lambda$
... | 5 | [
0.039794921875,
-0.0028076171875,
-0.0888671875,
-0.07470703125,
-0.0419921875,
0.037109375,
0.0103759765625,
0.00421142578125,
-0.046875,
0.02490234375,
0.06201171875,
0.048828125,
-0.002716064453125,
0.005645751953125,
0.038818359375,
0.05224609375,
-0.056640625,
-0.025390625,
... | 37,067 | 37067 | |
Ratio of areas of similar figures
January 20th 2011, 03:05 AM #1
Junior Member
Joined
Feb 2010
Posts
34
Ratio of areas of similar figures
Hi all,
Here goes the question:
In the diagram, AC,RQ and BP are parallel lines. AR=9cm,RQ=6cm,BP=8cm, and RB=3cm. Calculate the ratio of:
(i)area of... | 4 | [
-0.0576171875,
0.0458984375,
-0.0546875,
-0.02392578125,
-0.04443359375,
-0.03466796875,
-0.0059814453125,
0.02197265625,
-0.0240478515625,
-0.019775390625,
0.0361328125,
-0.08154296875,
0.033935546875,
0.06298828125,
0.060791015625,
0.031982421875,
-0.046142578125,
-0.03173828125,... | 37,068 | 37068 | |
Gonality, the Bogomolov property, and Habegger's theorem on Q(E^tors)
Gonality, the Bogomolov property, and Habegger’s theorem on Q(E^tors)
I promised to say a little more about why I think the result of Habegger’s recent paper, ” Small Height and Infinite Non-Abelian Extensions,” is so cool.
First of all: we say an... | 4 | [
-0.052490234375,
0.037353515625,
-0.052490234375,
0.05029296875,
-0.04345703125,
0.064453125,
0.0634765625,
0.0245361328125,
0.04052734375,
-0.060302734375,
0.04150390625,
-0.0030975341796875,
-0.0152587890625,
0.00885009765625,
0.039306640625,
0.060546875,
-0.0693359375,
0.0255126... | 37,069 | 37069 | |
Homomorphisms preserving constant functions
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Assume we have a homomorphism $\phi: C(S^{1},M_{n}(\mathbb{C}))\rightarrow C(S^{1},M_{m}(\mathbb{C}))$ where $n$ divides $m$. Under ... | 4 | [
-0.10107421875,
0.02294921875,
-0.00714111328125,
0.10546875,
-0.01348876953125,
0.11181640625,
-0.0233154296875,
-0.02880859375,
-0.033935546875,
-0.1318359375,
0.0849609375,
-0.0079345703125,
-0.03515625,
-0.0196533203125,
-0.0322265625,
-0.03125,
0.04345703125,
0.09228515625,
... | 37,070 | 37070 | |
Game involving 'asking questions about a real'
up vote 24 down vote favorite
8
Consider the following game, played by two players, called Q and A, in a time frame t = 1, 2, .... At every time point i, Q mentions some $Q_i \subset \mathbb{R}$, after which A mentions $A_i$ such
that either $A_i = Q_i$ or $A_i = Q_i^c$.
... | 5 | [
-0.0498046875,
-0.02197265625,
-0.03564453125,
-0.05322265625,
-0.046630859375,
0.17578125,
0.1162109375,
-0.0004425048828125,
0.09423828125,
0.0859375,
-0.06494140625,
-0.048828125,
0.061279296875,
0.04150390625,
-0.0615234375,
0.0400390625,
0.03515625,
-0.055908203125,
0.047607... | 37,071 | 37071 | |
Two [n] to [n] function families
up vote 7 down vote favorite
5
$\bf Note.$ This question had a bounty, so at the end I accepted the best (and only) answer but in fact it is still open. It is (hopefully) equivalent to this question, if you have any ideas, please
post them there.
$\bf Question.$ Fix n. We are interest... | 4 | [
-0.1044921875,
-0.0101318359375,
-0.0223388671875,
-0.02197265625,
0.0167236328125,
-0.00872802734375,
0.044921875,
0.025634765625,
0.048828125,
-0.0250244140625,
-0.09716796875,
0.0250244140625,
0.05029296875,
-0.026123046875,
-0.02294921875,
0.006744384765625,
0.0220947265625,
-0... | 37,072 | 37072 | |
A limit to Shoenfield Absoluteness
up vote 12 down vote favorite
4
Shoenfield's Absoluteness Theorem states that if $\phi$ is any $\Sigma^1_2$ sentence of second-order arithmetic, then $\phi$ is absolute between any two models of $ZF$ which share the same ordinals.
This means that such $\phi$ are unaffected by forcing... | 5 | [
-0.0111083984375,
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0.07861328125,
-0.04443359375,
0.0908203125,
0.06787109375,
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0.005645751953125,
0.05078125,
-0.004730224609375,
0.04736328125,
0.02880859375,
-0.00042724609375,
0.0028533935546875,
-0.015380859375,
0.046875,
0.059814453125,
0.008178710... | 37,073 | 37073 | |
Complex Analysis, harmonic functions
December 18th 2006, 09:09 AM
taypez
Complex Analysis, harmonic functions
Here is the problem:
If f= u+ iv is analytic in a region, show that uv is harmonic in the region but that u^2 need not be harmonic.
Thanks
December 18th 2006, 10:26 AM
ThePerfectHacker
... | 5 | [
-0.025634765625,
0.06396484375,
0.057373046875,
-0.05078125,
0.044677734375,
0.0537109375,
-0.0303955078125,
-0.0294189453125,
-0.1142578125,
0.0126953125,
0.083984375,
-0.087890625,
-0.025146484375,
0.034912109375,
0.06884765625,
-0.0205078125,
-0.10498046875,
-0.05419921875,
-0... | 37,074 | 37074 | |
Expressing a number field as a composite of extensions ramified at one place
up vote 13 down vote favorite
8
If $K$ is a number field, is it always possible to find a finite extension $L/K$ such that $L$ is the composite of fields $L_1,\ldots, L_n$, with the property that at most one prime ramifies in $L_i/
\mathbb{Q}... | 5 | [
0.01806640625,
-0.01239013671875,
0.006317138671875,
-0.06884765625,
0.07861328125,
0.0181884765625,
0.0059814453125,
0.059326171875,
0.0162353515625,
-0.1171875,
-0.0299072265625,
0.06494140625,
0.0546875,
-0.01141357421875,
0.00145721435546875,
0.09228515625,
-0.056396484375,
-0.... | 37,075 | 37075 | |
CG Hausdorff space
up vote 1 down vote favorite
Let X be in CGHaus and Y locally compact hausdorff. The usual product space XxY is CGHaus, so we dont need to apply that special functor to it (the one that takes a space to the space with same
points and the strongest topology induced by its compact subsets). Is the rig... | 5 | [
-0.02099609375,
-0.056640625,
-0.030029296875,
-0.03125,
-0.03662109375,
0.01116943359375,
0.162109375,
-0.0245361328125,
-0.006011962890625,
0.0166015625,
0.033935546875,
-0.01373291015625,
-0.00360107421875,
0.0286865234375,
0.08056640625,
0.0908203125,
0.00151824951171875,
-0.00... | 37,076 | 37076 | |
volume of solid using double integrals
hi again Find the volume of the given soild: Bounded by the cylinders x^2+y^2=r^2 and y^2+z^2=r^2. thanks
you only need to find the volume of the solid in the first octant and then multiply the result by 8 to get the full volume. so you have $z=\sqrt{r^2 - y^2}$ and you need to i... | 5 | [
0.046630859375,
0.09423828125,
-0.0179443359375,
-0.042236328125,
0.0126953125,
-0.07421875,
-0.087890625,
0.10791015625,
0.00775146484375,
-0.00156402587890625,
-0.07275390625,
0.054443359375,
-0.062255859375,
0.12109375,
-0.0361328125,
-0.0032196044921875,
-0.01446533203125,
0.01... | 37,077 | 37077 | |
Complex Trignometric Functions
The question
Express tan(1 - i) in the form a + ib, for a and b real
My attempt
I used the fact that:
sin(z) = sin(x)cosh(y) + icos(x)sinh(y)
cos(z) = cos(x)cosh(y) - isin(x)cosh(y)
I substituded these into tan(z) = \frac{sin(z)}{cos(z)}, and after quite a b... | 5 | [
-0.037109375,
0.06103515625,
-0.00872802734375,
0.00341796875,
-0.006622314453125,
0.03662109375,
0.0118408203125,
-0.036865234375,
0.0081787109375,
0.0322265625,
0.08935546875,
-0.091796875,
-0.01422119140625,
0.1044921875,
0.00830078125,
-0.00482177734375,
-0.00830078125,
-0.0434... | 37,078 | 37078 | |
xn + ym is a Cauchy sequence
October 7th 2010, 05:35 PM #1
Senior Member
Joined
Apr 2008
From
Vermont
Posts
318
xn + ym is a Cauchy sequence
Let xn and yn be Cauchy sequences.
Give a direct arguement that xn+yn is a Cauchy sequence that does not use the Cauchy Criterion or the Algebraic Limit The... | 4 | [
-0.053466796875,
-0.057861328125,
0.03515625,
-0.029296875,
-0.01019287109375,
0.07568359375,
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-0.00830078125,
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-0.056640625,
0.09423828125,
0.035400390625,
-0.0299072265625,
-0.0201416015625,
-0.0194091796875,
0.0634765625,
0.0252685546875,
-0.002777099... | 37,079 | 37079 | |
Another Related Rates
March 12th 2008, 05:55 PM #1
Junior Member
Joined
Mar 2008
Posts
30
Another Related Rates
A 100ft. long cable of diameter 4 inches is submerged in seawater. Due to corrosion, the surface area of the cable decreases at a rate of 750 in^2 / year. Ignoring the corrosion at the ends of
... | 5 | [
-0.056884765625,
0.09130859375,
0.035400390625,
-0.0272216796875,
0.01806640625,
-0.026123046875,
-0.07275390625,
0.1181640625,
-0.05615234375,
-0.034423828125,
-0.010498046875,
-0.03173828125,
0.08642578125,
0.11376953125,
-0.0751953125,
0.05224609375,
-0.0028228759765625,
0.03857... | 37,080 | 37080 | |
Elliptic curves over finite fields and 2x2 matrices
up vote 5 down vote favorite
1
Let $k$ be a finite field of order $p^a$ and characteristic $p$, and $\mathcal{C}$ a $k$ isogeny class of elliptic curves over $k$. Let $w$ be the (Galois conjugacy class of the) Weil $k$-number
attached to $\mathcal{C}$, and let $f(x)\... | 4 | [
0.02197265625,
0.08203125,
-0.00439453125,
0.0830078125,
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0.002532958984375,
0.00689697265625,
-0.00262451171875,
0.01611328125,
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0.09619140625,
-0.050048828125,
0.00360107421875,
0.0167236328125,
0.01202392578125,
0.045654296875,
-0.083984375,
0.... | 37,081 | 37081 | |
Expectation of first positive value in random walk
up vote 6 down vote favorite
1
Let $p$ be a parameter in $]0,1[$. Let $(X_k)_{k\geq 0}$ be an independent, identically distributed sequence of random variables, such that each $X_k$ takes values only in $\lbrace -1, \frac{1-p}{p}
\rbrace$ and $P(X_k=-1)=1-p$ (so that ... | 5 | [
-0.054931640625,
-0.07275390625,
0.0286865234375,
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0.0888671875,
0.003021240234375,
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0.0294189453125,
0.039306640625,
0.0252685546875,
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0.053955078125,
0.0238037109375,
-0.032470703125,
-0.1083984375,
-0.029541015625,
0.0732421875,
-0.030... | 37,082 | 37082 | |
How good is Kamenetsky's formula for the number of digits in n-factorial?
up vote 14 down vote favorite
2
In Number of digits in n!, now closed, there was a mention of Dmitry Kamenetsky's formula, $[\bigl(\log(2\pi n)/2+n(\log n-\log e)\bigr)/\log 10]+1$, for the number of decimal digits in
$n$-factorial. Here, $[x]$ ... | 5 | [
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Prove: Interior is an open set
February 20th 2010, 12:45 AM
kingwinner
Prove: Interior is an open set
Let (X,d) be a metric space and let F be a subset of X. B(r,x) is the open ball of radius r about x.
Definition: The interior of F, int(F), is the set of all x E F such that there is an r > 0 such that B(r,x... | 4 | [
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0.03... | 37,084 | 37084 | |
Does the classifying space of monoids commute with wedge sum up to weak equivalence?
up vote 4 down vote favorite
2
If $G$ and $H$ are groups, then the map $BG\vee BH\to B(G\ast H)$ is a weak equivalence by van Kampen's theorem. However the classifying space $BM$ of a monoid can have arbitrary homotopy type so
higher ... | 4 | [
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principal vaue of a complex number
December 18th 2010, 02:05 AM #1
Newbie
Joined
Dec 2010
Posts
12
principal vaue of a complex number
I strugged for half an hour trying to find materials for this problem.
$(3+j4)^{1+2j}$
could you lead me to a good study material for this topic ?
thanks
... | 5 | [
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really hard fraction question HELP
December 18th 2009, 06:57 AM #1
Super Member
Joined
Oct 2008
From
Bristol, England
Posts
897
really hard fraction question HELP
$\frac{8}{2 - \sqrt{2}}$
is this right, $\frac{8}{2 - \sqrt{2}} X \frac{2 + \sqrt{2}}{2 + \sqrt{2}}$ = 16+ $8\sqrt{2}$, as the numera... | 4 | [
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Piecewise linear dynamic systems with time delays
Kim, Byung-Koo (1972) Piecewise linear dynamic systems with time delays. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechEERL:1972.DYNL-106
PDF (Adobe PDF (6 MB))
See Usage Policy.
5Mb
Use this Persistent URL to link to this... | 4 | [
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General Expression for Partial Fractions
Date: 02/09/99 at 04:01:38
From: TOMMY
Subject: Partial fractions
Could you please tell me the general algorithm to convert an expression
into partial fraction form?
Thank you!
Date: 02/09/99 at 10:56:56
From: Doctor Rob
Subject: Re: Partial fractions
Thanks for writing t... | 5 | [
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I can't troubleshoot this
March 18th 2010, 05:50 PM #1
Junior Member
Joined
Dec 2009
From
U.S
Posts
60
I can't troubleshoot this
I'm trying to solve for the coordinate that is 1/3 of the way between point (1,7) and point (10,4) USING the distance formula.
This is what I had but I am stuck.
... | 4 | [
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Simplification!
June 9th 2008, 02:36 PM #1
Newbie
Joined
Sep 2007
Posts
11
I was wondering If i would be able to get help with these last questions:
a) Prove by showing all steps of working that 3^(x+2)+27 / 5 x 3^x + 15 can be simplified to 9 / 5
a) p ( x) = ax^3 + bx^2 - 5x + c is a polynomial... | 4 | [
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trigo and log equation
I will try let $t=\pi (ln(x^2))$ [tex]sint + cost = 1 [tex] $2sin(t)cos(t) + 1 - 2sin^2(t) = 1$ $2sin(t)(cos(t) - sin(t)) = 0$ $sint=0........ln(x^2)=0.....x=\pm 1$ $sint=cost....t=\frac{\pi}{4} + 2\
pi n .....$ $\pi ln(x^2)=\pi ( \frac{1}{4} + 2n )$ $ln(x^2)= \frac{1}{4} + 2n$ $x^2 = e^{.75 + 2n... | 5 | [
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Finite Math Hw question very frustrating
October 5th 2011, 02:07 PM #1
Newbie
Joined
Oct 2011
Posts
3
I understand how to use A=P(1+rt) and also the compound interest formula, but I have been stuck on this problem for 2 days and dont know how to put it in the formula. Im pretty sure you have to
use th... | 4 | [
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Surface Integrals help
November 29th 2008, 07:45 PM
nathanfsu
Surface Integrals help
Hi, I'm having a little trouble to solve these problems. May anyone help me please?
What is the area of the spherical surface X^2+Y^2+Z^2=9 inside the cylinder
X^2+Y^2=3x ?
What is the area of the spherical surface... | 5 | [
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Error In Problem Creation?
May 13th 2012, 12:11 PM #1
Member
Joined
May 2011
Posts
178
Thanks
6
Related Rates Problem
The problem is as follows:
A conical tank with its vertex down is 12 ft high and 12 ft in diameter at the top. Water is being pumped in at the rae of 4 cubic feet per minute. Fin... | 5 | [
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Weighted Regular Graphs
up vote 8 down vote favorite
2
The following graph theoretic notion appeared in an economics paper entitled: "Prize competition under limited comparability, by Michele Piccione and Ran Spiegler which studies models of economics
were the firms are rational but the consumers are not.
A graph is ... | 4 | [
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Volume inequality between projections of a convex symmetric set in $\mathbb R^3$
up vote 6 down vote favorite
1
Let $K$ be a centrally symmetric convex body in $\mathbb R^3$ with volume ${\rm vol}(K)=1$. For any subset $F \subset \lbrace1,2,3\rbrace$, let $K_F$ be the projection of $K$ in $\mathbb R^F$.
Question:... | 5 | [
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Borel Group on R
up vote 2 down vote favorite
Last week in class we used the fact that if we have a group within R which is also a Borel Set, then it is either R or meagre. Why is it so? Can you direct me to a proof?
measure-theory gr.group-theory
closed as off topic by Bill Johnson, Andres Caicedo, Qiaochu Yuan, ... | 5 | [
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College Algebra With Trigonometry 9th Edition Textbook Solutions | Chegg.com
Question:
If a, b, and c are real numbers with a ≠ 0, then the quadratic equation ax2 + bx2 + c = 0 can be solved by a variety of methods, including the quadratic formula. How can we solve the cubic equation
and is there a formula for the r... | 5 | [
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