content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
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inkyvoyd Group Title
Polar functions and d... | 4 | [
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Finding volume and surface area of right prism
1. August 15th 2010, 01:49 AM #1
2. August 15th 2010, 01:55 AM #2
$\mbox{Volume} = \mbox{Base} * \mbox{Height} * \mbox{Depth}$
$\mbox{Surface area (Of each face)} = \mbox{Base} * \mbox{Height}$
Divide the prisms into many simpler shapes (eg.... | 4 | [
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Help Calculas
Last edited by tester85; October 24th 2008 at 07:36 PM.
Hello, tester85! I'll explain the first one for you. It's quite challenging and uses a technique you may not have seen. $I \;=\;\int e^{ax}\sin bx\,dx$ Integrate by parts . . . . . $\begin{array}
{ccccccc}u &=& \sin bx & & dv &=& e^{ax}dx \\ du &=& ... | 5 | [
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Synthetic Division
Date: 05/06/2003 at 22:23:17
From: Noel
Subject: Algebra
(x^2-6x+9)/(x-3)
Date: 05/07/2003 at 03:38:15
From: Doctor Luis
Subject: Re: Algebra
Hi Noel,
Here's how you divide a polynomial by (x-a):
First draw a grid like this, showing the powers of x and with the
coefficients below.
... | 4 | [
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0.005004882812... | 35,503 | 35503 | |
Basic Hyperbolic Simplification b
September 30th 2010, 11:31 PM #1
Junior Member
Joined
Feb 2010
Posts
52
Basic Hyperbolic Simplification b
second question:
$cosh^{-1}2=?$
I tried
$\frac{1}{cosh2}=sech2=\frac{2}{e^2+e^{-2}}$
The answer given is $ln(1+\sqrt{3})$
How did they get to a ... | 5 | [
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Checking over limit process
January 14th 2013, 08:09 PM
Chaim
Checking over limit process
Evaluate the definite integral by the limit process:
[1]∫^2(x^2+1)dx
Answer from book: 10/3
This is what I did order:
1. I used the right justified Riemann Sum (by the way, on the top of ∑ is n, and the bot... | 5 | [
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Proper subgroups of $\rm{SU}(d)$ that act transitively on $\rm{CP}^{d-1}$?
up vote 3 down vote favorite
The special unitary group $\rm{SU}(d)$ has a canonical action on the Hilbert space of dimension $d$, and this action induces a canonical action on the projective space $\rm{CP}^{d-1}$, which is
transitive. Is ther... | 4 | [
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0... | 35,506 | 35506 | |
Factors and Multiples - 3 bells tolling
June 12th 2013, 06:29 AM #1
Newbie
Joined
Apr 2013
From
singapore
Posts
5
Factors and Multiples - 3 bells tolling
Three bells toll at different intervals. Bell A tolls every 24 seconds, Bell B tolls every 60 seconds and Bell C tolls every 90 seconds. The three ... | 4 | [
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0.0201416015625,
-0.... | 35,507 | 35507 | |
dy
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Calcmathlete Group Title
Find the coordina... | 5 | [
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0.017822265625,
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-0.04443359375... | 35,508 | 35508 | |
Linear/Nonlinear Equations--compute for monthly repayments
November 19th 2008, 04:21 AM
noreen_cruz
Linear/Nonlinear Equations--compute for monthly repayments
Please help with grade9 Math-Linear/NonLinear Equations on how to compute for loans, monthly repayments and interest rates.
$10,000 loan to be paid o... | 4 | [
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Math Forum Discussions
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Topic: A conjecture on convex symmetric curve. How to pro... | 4 | [
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-0.025390625... | 35,510 | 35510 | |
Verify the Trig Identity
December 21st 2008, 02:45 PM #1
Newbie
Joined
Dec 2008
Posts
4
I've been working on this for a few hours... I have a mental block...
Verify the Identity:
[sin(2x)+sin(4x)] / [cos(2x) + cos(4x)] = tan(3x)
thanks so much, in advance
This should be easy if you ca... | 4 | [
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The Steps of Factoring
Date: 08/08/98 at 10:53:10
From: Brandie
Subject: Factoring problems
My question concerns the following problems:
Given y^2 - 14y + 24
a. write factors of the first term: (______)(_______)
b. signs are ________________ because the sign of last term of the
trinominal is positive ... | 4 | [
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Formula for the Day of the Week
Date: 05/21/97 at 11:08:07
From: Christine Durling
Subject: Declaration of Independence
Would you please tell us what day of the week the Declaration of
Independence was signed on as well the formula to determine such?
Thank you very much!
Christine Durling, Education Media Speciali... | 4 | [
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Is there a "Bezout's theorem" for analytic curves?
up vote 1 down vote favorite
2
Let $\varphi_1(u,v)$ and $\varphi_2(u,v)$ be two entire or meromorphic functions in the two complex variables $u$ and $v$. If they are both polynomials, then Bezout's Theorem says that the set of
common roots $(u,v)$ of $\varphi_1(u,v)=0... | 4 | [
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... | 35,514 | 35514 | |
Angles of Elevation and Depression??
May 11th 2009, 12:48 PM #1
Newbie
Joined
Feb 2009
Posts
17
Suppose you live about 5.1 miles away from a tower. From your home, you see a plane directly above the tower. Your angle of elevation from the plane is 21º. What is the plane's altitude???
I don't understa... | 4 | [
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Harder question on connected rates of change
February 21st 2009, 05:51 AM #1
Junior Member
Joined
Dec 2008
From
England - Warwickshire
Posts
25
Harder question on connected rates of change
This is the question:
A hollow right circular cone has height 18 cm and base radius 12 cm.
It is held v... | 4 | [
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0.... | 35,516 | 35516 | |
Limit comparison test
March 16th 2010, 12:33 PM #1
Junior Member
Joined
Nov 2009
Posts
38
Limit comparison test
How do you do these using the limit comparison test?
□ $\sum_{n=1}^\infty \frac{1}{n(n^2+1)}$
$\sum_{n=1}^\infty \frac{1}{n^2}$ p=2 > 1 converges
$\lim_{n\rightarrow\infty} \f... | 4 | [
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2 +
10-2 Circles
Warm Up
Find the slope of the line that connects
each pair of points.
1
1. (5, 7) and (–1, 6) 6
2. (3, –4) and (–4, 3) –1
Holt Algebra 2
10-2 Circles
Warm Up
Find the distance be... | 4 | [
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-0.038330078125,
-0.1044921875,... | 35,518 | 35518 | |
Maths questions at GCSE level
June 3rd 2007, 01:58 PM #1
Newbie
Joined
Jun 2007
Posts
9
Maths questions at GCSE level
Can someone help answer the following questions plzz
1)
The area of the pentagon is 8560mmsquared
Change 8560mmsquared top cmsquared
2)
Each side of another penta... | 4 | [
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0.0451660... | 35,519 | 35519 | |
Logarithmic Differentiation
May 17th 2010, 07:13 PM #1
Newbie
Joined
May 2010
Posts
6
Logarithmic Differentiation
Hi I am having trouble solving a couple of problems involving logarithmic differentiation.
1.Find
2.If
3.Let
Determine the derivative
4. If
Any tips on how to do ... | 5 | [
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0.04638671875,
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0.0063781... | 35,520 | 35520 | |
The Jumping Frog of Coordinate County
Date: 11/03/2009 at 12:56:16
From: Ryan
Subject: Fun and Interesting Math Problem Involving Coordinates
My friend gave me this problem and bet I couldn't solve it:
A frog starts at (0,0) on the Cartesian plane, and each minute jumps a
distance of exactly 1 unit to a point with r... | 5 | [
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Can someone help me with this pre-Calculus question?
If 2x^2-dx+(31-d^2)x+5 has a factor of x - d, what is the value of d if d is an integer?(Angry)
Hint: $f(d)=2(d)^2-d(d)+(31-d^2)(d)+5=2d^2-d^2+31d-d^2+5=0$ Write in standard form: $d^3-d^2-31d-5=0$ Now, use the rational roots theorem to see if this cubic has any int... | 4 | [
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0.021484375,
0.03564453125,
-0.0427246093... | 35,522 | 35522 | |
Regular polygon formula
June 7th 2012, 01:24 PM #1
Newbie
Joined
Jun 2012
From
Netherlands
Posts
4
Regular polygon formula
Hello geniuses,
Recently, when making some calculations for people, I came across what I hope is a new formula. I have done some googling and I can't find it anywhere.
C... | 4 | [
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0.078125,
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Degree of extension.
April 1st 2009, 02:21 AM #1
Junior Member
Joined
Mar 2009
Posts
27
Degree of extension.
I have the polynomial
$<br /> f(x) = x^5 -5x^3+5x-18 <br />$
over $\mathbb Q$.
Let $L$ be the splitting field of it.
How can I show that $[L:\mathbb Q]$ is divisible by 5.
Th... | 5 | [
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0.0791015625,
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... | 35,524 | 35524 | |
Euclidean triangulation of the plane with degree 7 at each vertex.
up vote 2 down vote favorite
Hyperbolic plane has a beautiful triangulation by congruent hyperbolic triangles where all the vertices of the triangulation have degree 7, this is of course not possible in the euclidean plane, even
more, I think it is not... | 4 | [
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0.0274658203125,
0.08154296875,
-0.111328125,
-0.0213623046875,
-0.003234863... | 35,525 | 35525 | |
Math Forum Discussions
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Topic: lorenz curve
Replies: 5 Last Post: May 13, 2013 7:... | 4 | [
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0.029052734375,
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0.056640625,
-0.1025390625,
-0.06... | 35,526 | 35526 | |
ter
Several factors (f.e. housing, racepicks, boom and techs) can influence the growth rate. To demonstrate the growth formula we will analyse these factors step by step:
Basic Growth (b)
Let us first define the following 3 variables:
POPRACE: Pop of the considered race
POPAGG: Aggregated Population of the planet (na... | 4 | [
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sum of squares of all numbers between 10 and 70 and which are divisible by 4.
Find the sum of squares of all numbers between 10 and 70 and which are divisible by 4.
Last edited by mr fantastic; November 4th 2010 at 05:13 PM. Reason: Re-titled.
All evens are divisible by 4; so "sum of even squares": n = 70/2 = 35; f =... | 4 | [
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Example 30.11: Analysis of a Screening Design
Chapter Contents Previous Next
Example 30.11: Analysis of a Screening Design
Yin and Jillie (1987) describe an experiment on a nitride etch process for a single wafer plasma etcher. The experiment is run using four factors: cathode power (power), gas flow (flow), reac... | 5 | [
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spanning set
September 10th 2008, 03:49 AM
sunneej
spanning set
Hey, can you guys please help me out with two questions?
1. The following set is a spanning set for R^3.
S = {(1,2,-1),(0,3,4),(2,1,-6),(0,0,2)}
Find a subset of S that is a basis for R^3.
And,
2. Find a basis for the solution... | 5 | [
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Finding the Sum of Solutions of a Polynomial Equation
Date: 03/11/2004 at 21:04:54
From: Zahra
Subject: x^3+2x^2-5x-6=0
What is the sum of the solutions of x^3 + 2x^2 - 5x - 6 = 0 given that
x = 2 is a solution? I do not understand any part of this question.
Date: 03/12/2004 at 14:01:18
From: Doctor Ian
Subject: ... | 4 | [
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Maximal directed crossing of a box using uniform random variables
up vote 0 down vote favorite
Take a 1 by 1 box $D \subset \mathbb{R}^2$ and let $U_1,\dots,U_n$ be i.i.d. uniforms in $D$.
Suppose at the start all of $\mathcal{V}_0=\{U_1,\dots,U_n\}$ are viable. At each step pick one of the viable uniform random vari... | 4 | [
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User Simon Salamon
bio website calvino.polito.it/~salamon
location Turin
age
visits member for 4 years, 5 months
seen Jan 14 '13 at 13:47
stats profile views 533
Jun
25 awarded Revival
Nov
15 awarded Enlightened
Nov
14 awarded N... | 4 | [
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... | 35,533 | 35533 | |
Need help with a formula!
October 18th 2013, 07:43 AM #1
Newbie
Joined
Oct 2013
From
London
Posts
2
Need help with a formula!
I'm not sure if this is the correct forum for this problem, but I am puzzled by this. I'm not the best with maths so I don't know how to solve this.
There are three number... | 4 | [
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0.0308837890625,
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tic
Quasi-Equilibrium Assumption for Arbitrary Mechanism of Enzymatic Reaction. Criteria for Existence of Equilibrium Segments
P. V. Vrzheshch^1,2
^1
Department of Bioengineering and Bioinformatics, Lomonosov Moscow State University, 119992 Moscow, Russia; fax: (495) 939-4218; E-mail:
peter@genebee.msu.ru
^2Intern... | 4 | [
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This Integral is Giving Me Trouble...
April 18th 2008, 02:06 PM
Kalter Tod
This Integral is Giving Me Trouble...
$\int{\frac{x^2}{x^2+1}}$
I set up a substitution and made $u=x^2+1$ so I could rewrite the integral as $\frac{u-1}{u}$ but my TI-89 is giving me the answer as $x-\arctan{x}$
I was thinking ... | 4 | [
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dy
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saljudieh07 Group Title
SPRING TWO MASSES ... | 5 | [
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December 2
Well, it's been up there in the sidebar for 3 months and I'm sure it's been long forgotten, but we do have a winner of our contest.
Hans Rademacher was one of the most brilliant and prolific mathematicians of the 20th century. His research had broad scope from mathematical analysis to number theory incl... | 5 | [
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Math Forums @ Math Goodies - substitutiontesting headertesting left navtesting footer
Math Goodies is a free math help portal for students, teachers, and parents.
... | 4 | [
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What is the ring of integers of the Pythagorean field?
up vote 18 down vote favorite
6
Following Hilbert, we call the complex numbers constructible via compass and straight-edge the field of Euclidean numbers, and the totally real such numbers the field of Pythagorean numbers. (Among
other possible definitions, an alg... | 4 | [
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... | 35,540 | 35540 | |
can't work out particular integral of this second order ODE, or figure how to rewrite
April 8th 2010, 03:40 AM #1
Newbie
Joined
Mar 2010
Posts
6
a) determine a particular integral of the second order differential equation u'' + Bu' +u = sin(wt)
in the form u(t) = Csin(wt) + Dcos(wt) where C and D are... | 5 | [
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l’Hopital’s Rule Help..
Hey guys having trouble solving this . Use l’Hopital’s rule to find: $\lim_{x\to0}\frac{cosx-1}{x^2}$ any help much appreciated
1)Find derivatives separately 2) Divide the numerator's derivative by denominator's derivative 3)If on putting the limit you get a definite answer than game over!! 4) ... | 5 | [
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0.030273437... | 35,542 | 35542 | |
prove S is subgroup of G where S is stated with some conditions
July 25th 2011, 06:42 AM #1
Member
Joined
Oct 2010
From
Mumbai, India
Posts
203
prove S is subgroup of G where S is stated with some conditions
Hi
here is the problem i am trying to do.
let G be a finite group and let S be a no... | 5 | [
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0.07666015625,
0.0... | 35,543 | 35543 | |
Can someone tell me where I have gone wrong the answer is ment to be 3.89
December 30th 2012, 07:19 PM
Bairdy13
Can someone tell me where I have gone wrong the answer is ment to be 3.89
Cant seem to get 3.89
15.4+(a*5.6)-(11.8/2.5)+3(2+1.1)=34.67
15.4+(a*5.6)-(4.72)+(9.3)=34.67
15.4+(a*5.6)+4.58=34.6... | 4 | [
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log identity
May 4th 2011, 01:53 PM
bigwave
log identity
show that if ${a}^{2}+{b}^{2}={c}^{2}$, then
${log}_{b+c}a + {log}_{c-b}a= 2\left( {log}_{b+c}a\right)\left( {log}_{c-b}a \right)$
I tried to solve this with change of base but didn't seem to help. so not sure even what the first step is on this ... | 5 | [
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0... | 35,545 | 35545 | |
inequality
December 13th 2009, 10:33 PM
hooke
inequality
Solve the inequality |x+4|+|x-1|>5 .
I know the strategy here is to get rid of the modulus by picking cases .
my questino here is how to pick these cases ?
December 13th 2009, 11:13 PM
earboth
Quote:
Use the definition of the absolut... | 4 | [
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Polymath1Wiki
Equal-slices measure
From Polymath1Wiki
Definition
The equal-slices measure μ(A) of a set $A \subset [3]^n$ is defined by the formula
$\mu(A) := \sum_{(a,b,c) \in \Delta_n} \frac{|A \cap \Gamma_{a,b,c}|}{|\Gamma_{a,b,c}|}$
where $\Delta_n := \{ (a,b,c) \in {\Bbb Z}_+^3: a+b+c=n\}$ is the triangu... | 4 | [
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0.049072265625,
-0.0001... | 35,547 | 35547 | |
mathschallenge.net
Frequently Asked Questions
How do you work out the sum of divisors?
Imagine you wish to work out the sum of divisors of the number 72. It would not take long to list the divisors, and then find their sum: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 36 + 72 = 195.
However, this method would become b... | 4 | [
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0.086... | 35,548 | 35548 | |
Help solving/ understanding (Cramers Rule)
May 17th 2007, 05:39 PM
creatureman
Help solving/ understanding (Cramers Rule)
I need help with this problem? Thanks. The numbers in parenthesis in my book are like exponenets but toward the bottom, kinda like a log number. I did't know how to write that. The answer wil... | 4 | [
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... | 35,549 | 35549 | |
Homoclinic/heteroclinic bifurcations: slightly fat horseshoes A
Posted by: matheuscmss | September 26, 2012
Homoclinic/heteroclinic bifurcations: slightly fat horseshoes A
1. Introduction
Last time we saw that bifurcations of quadratic tangencies associated to fat horseshoes, ${\textrm{HD}(K)=d_s^0+d_u^0>1}$, are co... | 4 | [
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Board Feet from a Log
Date: 03/19/2003 at 07:44:43
From: Jeff
Subject: Board feet from a log.
How do you compute board feet from a log?
What is the board feet of a 10-foot log if the diameter is 16 inches
at one end and 14 inches at the other end?
I read in a book that the board feet can be computed by multiplying
... | 5 | [
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0.03... | 35,551 | 35551 | |
What is the origin of the formula for the Lie derivative along a Killing vector?
up vote 8 down vote favorite
5
Background
Let $(M,g)$ be an $n$-dimensioal riemannian manifold. A vector field $X$ on $M$ is said to be a Killing vector if the flow it generates is an isometry; that is, it preserves the metric $g$. There... | 4 | [
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three i.i.d. Gaussian random variables - joint pdf
November 12th 2011, 06:18 AM #1
Newbie
Joined
Nov 2011
Posts
2
three i.i.d. Gaussian random variables - joint pdf
1) you have a 3x1 vector x of three i.i.d. Gaussian random variables.
you have a matrix A which is k x 3, where k=2, 3, 4, and in all ca... | 5 | [
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Math Help
Actually, I have no idea how to do this problem
Last edited by CaptainBlack; April 21st 2006 at 10:55 PM. Reason: to fit image to scree size
askmemath Take a coordinate system with $y$ positive downwards, and $y=0$ corresponding to the parachutists initial position. Now while the parachutist is moving down... | 5 | [
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0.0311279296875,
0.07958984375,
-0.08935546875,
0.146484375,
-0.035400390625,
0.0371... | 35,554 | 35554 | |
Factoring Polynomials
October 1st 2007, 05:25 PM #1
pi^
Guest
I don't understand factoring - here are some problewms I am looking to see complete step by step because no matter what I do I am not getting the right answers!!
6x^2y^2 + 12xy^2 + 12y^2
a^2 + 2a - 24
z^3 + 9z^2 +18z
a^4 - ab3
... | 4 | [
-0.05126953125,
0.01202392578125,
0.0026397705078125,
0.055908203125,
0.0306396484375,
0.0517578125,
-0.0308837890625,
-0.034912109375,
-0.038330078125,
0.004791259765625,
0.10107421875,
0.044677734375,
0.055419921875,
0.011962890625,
-0.0052490234375,
0.055908203125,
-0.0869140625,
... | 35,555 | 35555 | |
unique integer partitions
up vote 3 down vote favorite
Let me motivate my general question with an explicit example:
Suppose I am looking for all unique combinations of exactly three non-negative integers that sum to five. The solutions are 005, 014, 023, 113, and 122. Which means that there are five unique
combinati... | 5 | [
-0.0771484375,
-0.016845703125,
0.009033203125,
-0.08984375,
0.01092529296875,
-0.03564453125,
0.10498046875,
-0.04296875,
-0.033935546875,
0.01019287109375,
-0.076171875,
0.00445556640625,
-0.01031494140625,
-0.0228271484375,
0.00982666015625,
0.08203125,
0.0576171875,
0.025512695... | 35,556 | 35556 | |
Pythagorean triple
May 19th 2009, 01:03 PM #1
Newbie
Joined
May 2009
Posts
16
Pythagorean triple
This problem has got me stumped.
Let (x,y,z) be a primitive Pythagorean triple. Prove that one of the integers in the triple is divisible by 3, one is divisible by 4, and one is divisible by 5.
3,4,... | 4 | [
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0.06201171875,
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0.03662109375,
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0.09716796875,
0.0390625,
-0.0286865234375,
0.0128173828125,
-0.0189208... | 35,557 | 35557 | |
Is there a 0-1 law for the theory of groups?
up vote 41 down vote favorite
15
Several months ago, Dominik asked the question Is there a 0-1 law for the theory of groups? on mathstackexchange, but although his question received attention there is still no answer. By asking the
question here, I hope to find some result ... | 4 | [
-0.07763671875,
-0.056884765625,
0.059326171875,
0.045654296875,
0.0167236328125,
0.013671875,
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-0.0240478515625,
0.07373046875,
0.0057373046875,
0.08203125,
0.060791015625,
-0.0277099609375,
-0.01409912109375,
0.004486083984375,
-0.00946044921875,
-0.0172119140625,
... | 35,558 | 35558 | |
Injectivity for bimodules and Hochschild cohomology
up vote 8 down vote favorite
1
Let $A$ be a Banach algebra and let $X$ be an $A$-bimodule. Is there a notion of (relative) injectivity for $X$ which would imply that $\mathcal{H}^n(A,X)$ vanishes for all $n\ge 1$? Here $\mathcal
{H}^n(A,X)$ denotes the continuous Hoc... | 4 | [
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0.03955078125,
-0.00677490234375,
-0.0294189453125,
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0.07373046875,
0.0400390625,
-0.0167236328125,
-0.04833984375,
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0.07568359375,
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-0.044921875,
0.0673828125,
0.06982421875,
0.0234375,
0.036376953125,... | 35,559 | 35559 | |
Two Properties of Markov Models
The general equations of an n-state Markov model can be expressed in terms of matrices as MP = dP/dt where P is the column vector P = [P[1] P[2] ... P[n]]^T and M is the n´n transition matrix
with the components
... | 4 | [
-0.0732421875,
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0.0233154296875,
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0.033447265625,
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0.055908203125,
0.09375,
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0.0294189453125,
0.058837890625,
-0.01300048828125,
0.0166015625,
0.03271484375,
-0.03271484375,
0.01574707... | 35,560 | 35560 | |
Finite Reflection Groups in Two Dimensions - R2
April 21st 2012, 07:44 PM #1
Finite Reflection Groups in Two Dimensions - R2
I am seeking to understand reflection groups and am reading Grove and Benson: Finite Reflection Groups
On page 6 (see attachment - pages 5 -6 Grove and Benson) we find the following st... | 5 | [
-0.1064453125,
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0.0751953125,
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0.0703125,
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0.018310546875,
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0.02001953125,
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-0.09912109375,
-0.032470703125,
0.0120849609375,
-0.06640625,
-0.1171875,
... | 35,561 | 35561 | |
Hyperplane (Please help me!)
June 27th 2010, 04:44 AM
math.dj
Hyperplane (Please help me!)
Q) Let H be a subset of R^n defined by one single linear equation,
i.e; H={(x1,x2,...,xn) | a1x1+...+anxn+d=0}.Then show that H is a hyperplane of R^n..
[ I was able to prove that "A hyperplane H in R^n is given b... | 5 | [
-0.025634765625,
0.01068115234375,
0.033935546875,
-0.00823974609375,
-0.003265380859375,
0.044921875,
0.09033203125,
-0.046142578125,
-0.037841796875,
-0.033447265625,
0.0201416015625,
-0.0174560546875,
-0.06640625,
-0.0673828125,
-0.0986328125,
0.12353515625,
-0.028564453125,
-0.... | 35,562 | 35562 | |
Desperate need of help
December 16th 2009, 07:07 PM #1
Newbie
Joined
Dec 2009
Posts
15
Desperate need of help
Let p be a prime integer.
1. Prove that Z_p is an integral domain.
2. Prove that Z_p[x] is an integral domain.
I know that if a ring is a ED it is a PID and if it is a PID it is a ... | 5 | [
-0.01708984375,
0.064453125,
-0.014892578125,
-0.06298828125,
0.005645751953125,
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-0.012939453125,
-0.006988525390625,
-0.01220703125,
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0.07958984375,
0.007049560546875,
0.01324462890625,
-0.0615234375,
0.0028228759765625,
... | 35,563 | 35563 | |
QPSK Modulation Demystified
QPSK Modulation Demystified
© May 01, 2002, Maxim Integrated Products, Inc.
Abstract: Readers are presented with step-by-step derivations showing the operation of QPSK modulation and demodulation. The transition from analog communication to digital has advanced the use of
QPSK. Euler's re... | 4 | [
-0.12060546875,
0.1298828125,
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0.036376953125,
0.0169677734375,
0.0250244140625,
0.038330078125,
0.0022735595703125,
0.064453125,
-0.01318359375,
0.0380859375,
-0.020751953125,
-0.021728515625,
-0.03344726... | 35,564 | 35564 | |
Submodules generated by A
August 10th 2013, 06:10 PM #1
Submodules generated by A
On page 351 Dummit and Foote make the following statement:
"It is easy to see using the Submodules' Criterion that for any subset A of M, RA is indeed a submodule of M and is the smallest submodule of M which contains A ... "
... | 5 | [
-0.0240478515625,
0.00151824951171875,
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0.1083984375,
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0.0810546875,
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0.123046875,
-0.0478515625,
0.02294921875,
0.06689453125,
0.045654296875,
0.099609375,
-0... | 35,565 | 35565 | |
how to do a long division for this cube expression
September 26th 2006, 06:17 PM
shenton
how to do a long division for this cube expression
(4x^3 + x^2 + 8x + 4) / (x^2 + 2)
The long division as follows:
4x
_______________________
(4x^3 + x^2 + 8x + 4)
4x^3 + 8x
________
??
Du... | 4 | [
0.0181884765625,
0.042236328125,
-0.0029144287109375,
0.0908203125,
0.01806640625,
-0.038818359375,
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0.01348876953125,
0.08203125,
-0.0673828125,
0.0595703125,
-0.0478515625,
-0.0045166015625,
0.0286865234375,
-0.00183868408203125,
0.04345703125,
-0.0322265625,
0.07... | 35,566 | 35566 | |
Trigonometry question
May 23rd 2006, 01:21 AM
kingkaisai2
Trigonometry question
[SIZE=4]If A=sin(-1)x, where x>0 sin(-1)x means the shift sin in the calulator of angle x
Two part question
a)show that cosA=squareroot of 1-x^2
b)find expressions in terms of x for cosecA and cos2A[/SIZE]
May 23rd 200... | 4 | [
-0.09228515625,
-0.00732421875,
0.0179443359375,
0.0196533203125,
-0.034423828125,
-0.000965118408203125,
0.00872802734375,
-0.028076171875,
0.0986328125,
0.0537109375,
0.09521484375,
-0.037353515625,
0.0478515625,
0.0244140625,
-0.007659912109375,
-0.036865234375,
-0.0128173828125,
... | 35,567 | 35567 | |
Every continuous function bounded implies compact
It occurs to me that it might be nice to post solutions to miscellaneous mathematical exercises at least once in a while.
I saw this one on a chalkboard earlier today; evidently the room was serving as the venue for an analysis class. It’s exactly the sort of elementa... | 5 | [
0.0135498046875,
-0.02294921875,
-0.08349609375,
-0.031005859375,
0.0703125,
0.09033203125,
0.0498046875,
-0.0546875,
-0.06689453125,
0.0179443359375,
-0.05029296875,
0.06884765625,
0.005767822265625,
0.05419921875,
0.008056640625,
-0.02978515625,
0.034423828125,
-0.1103515625,
0... | 35,568 | 35568 | |
Eugen Values for matrix
November 8th 2009, 09:10 AM
taurus
Eugen Values for matrix
I have the following 2x2 matrix:
(1-A) 1
1 (5-A)
I need to solve to get the Eigen values. How do i develop the quadratic eqn from that to solve for A?
November 8th 2009, 09:45 AM
galactus
If I understand correc... | 4 | [
-0.0546875,
-0.0194091796875,
0.056884765625,
-0.07421875,
-0.01422119140625,
0.0263671875,
-0.03369140625,
-0.030517578125,
-0.036865234375,
0.0242919921875,
0.10546875,
-0.01470947265625,
0.0003910064697265625,
-0.0037689208984375,
-0.050537109375,
0.06689453125,
-0.0228271484375,
... | 35,569 | 35569 | |
the journey continues... Fractional Equations
March 14th 2009, 11:00 PM
nativecat
the journey continues... Fractional Equations
Hmmm, I was doing well until I came up against these little buggers.
4x + 3 = 6 and
2x - 1
3x - 2 = -5
x + 4
Solve for x
I come up with x = -9/8 on the firs... | 4 | [
-0.1025390625,
-0.06201171875,
0.078125,
0.0277099609375,
0.05908203125,
-0.00732421875,
-0.06103515625,
0.032470703125,
-0.003570556640625,
-0.015625,
0.06396484375,
-0.07177734375,
0.033447265625,
0.00714111328125,
-0.0302734375,
0.04541015625,
-0.037841796875,
-0.002288818359375... | 35,570 | 35570 | |
Existence/Uniqueness of solution of singular ODE
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Consider the following singular ODE $$ (t^{N-1}g(y'))'=t^{N-1}f(y) $$ with initial condition $$y(0)=y_0$$ $$y'(0)=0$$. where $g... | 5 | [
-0.111328125,
-0.0191650390625,
0.057373046875,
0.0157470703125,
0.00885009765625,
0.01025390625,
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-0.00970458984375,
0.004180908203125,
0.004241943359375,
0.024658203125,
0.06591796875,
-0.0869140625,
-0.0017547607421875,
-0.01226806640625,
0.01031494140625,
-0.016... | 35,571 | 35571 | |
Math Help
January 17th 2010, 04:31 AM #1
Super Member
Joined
Sep 2008
Posts
607
Derivative
Given that $x = sec\frac{y}{2}$
$0 \leq y < \pi$
show that $\frac{dy}{dx} = \frac{2}{x \sqrt{x^{2}-1}}$
$\frac{dx}{dy} = \frac{1}{2} sec\frac{y}{2} tan\frac{y}{2}$
$\frac{dy}{dx} = \frac{1}{ \f... | 5 | [
-0.0022430419921875,
0.0115966796875,
0.142578125,
0.0400390625,
-0.022705078125,
-0.00762939453125,
-0.037841796875,
0.0849609375,
-0.01507568359375,
-0.000217437744140625,
0.03173828125,
-0.00026702880859375,
-0.001312255859375,
0.0625,
-0.03662109375,
-0.0205078125,
0.027587890625... | 35,572 | 35572 | |
Polynomial with real coefficients but complex roots
September 17th 2012, 10:41 AM #1
Junior Member
Joined
Sep 2012
From
sweden
Posts
61
Polynomial with real coefficients but complex roots
Hi everyone
I'm trying to solve this equation:
z^4+1 = 0
I've tried every method I can think of, s... | 5 | [
-0.045166015625,
0.060791015625,
-0.0308837890625,
0.04931640625,
-0.06640625,
-0.0028076171875,
-0.059326171875,
0.01226806640625,
0.061767578125,
-0.0186767578125,
0.05419921875,
-0.0654296875,
0.035888671875,
0.12158203125,
0.0191650390625,
0.0303955078125,
-0.0169677734375,
0.0... | 35,573 | 35573 | |
Cambridge Question - The Prosecutor's Fallacy.
October 1st 2013, 08:14 AM #1
Junior Member
Joined
Apr 2012
From
Mauritius
Posts
45
Thanks
2
************************************************** ************************************************** ****************************
EXERCISE 4B Question 13... | 5 | [
-0.0546875,
0.08349609375,
-0.053955078125,
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0.0390625,
0.0634765625,
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0.0830078125,
0.015869140625,
-0.00457763671875,
0.0244140625,
0.0419921875,
-0.0027618408203125,
-0.035400390625,... | 35,574 | 35574 | |
finding a limit with trig
September 30th 2008, 12:54 PM
bene
finding a limit with trig
Question
find the limit or prove it does not exist
limx->0 xsinx/1-cosx
just pluging this into my calculator it looks like the limit is 2 but i can't figure out how to get this... i should mention it looks like ... | 5 | [
-0.08984375,
0.003021240234375,
-0.02880859375,
0.0322265625,
0.040283203125,
0.0123291015625,
-0.04248046875,
0.01348876953125,
0.0172119140625,
0.03759765625,
0.054931640625,
-0.036865234375,
0.022216796875,
0.010498046875,
0.01458740234375,
-0.01513671875,
0.03466796875,
-0.0219... | 35,575 | 35575 | |
Basic Algebra?
May 6th 2009, 10:18 AM #1
Junior Member
Joined
Jan 2009
Posts
26
Basic Algebra?
Problem
$\int\frac{10x-2x^2}{(x-1)^2(x+3)}$
I did all the steps correctly until this part
A+C = -2
2A+ B -2C = 10
-3A +3B + C = 0
Attempt:
I said C = -A-2
B = -2A +2C + 10
... | 4 | [
-0.09912109375,
0.01055908203125,
0.04736328125,
-0.007415771484375,
-0.0002689361572265625,
0.0478515625,
0.0145263671875,
-0.0001277923583984375,
-0.072265625,
-0.056640625,
0.05126953125,
-0.08935546875,
0.0277099609375,
0.0546875,
-0.03564453125,
-0.0029754638671875,
0.0003967285... | 35,576 | 35576 | |
Stratification of a smooth map
up vote 2 down vote favorite
So, this is an exercise. But from math.stackexchange I have been suggested to post this question here.
To find the Thom-Boardman stratification of the smooth map $f(x,y,a,b,c,d)=x^2y+y^3+a(x^2+y^2)+bx+cy$, where $a,b,c$ are parameters.
As I have seen, this ... | 4 | [
0.0281982421875,
-0.037353515625,
-0.01043701171875,
-0.06640625,
-0.0341796875,
0.053955078125,
0.026611328125,
0.02392578125,
-0.06298828125,
-0.028564453125,
0.08056640625,
-0.052001953125,
0.0274658203125,
-0.0927734375,
-0.0179443359375,
0.09375,
-0.103515625,
0.0269775390625,... | 35,577 | 35577 | |
median of matrices
up vote 4 down vote favorite
I have $n$ positive definite Hermitian matrices $M_n$ and I want to define and compute their median.
These matrices correspond to independent estimations of a covariance matrix in the presence of some noise I cannot quantify, hence the desire to use a median as opposed ... | 4 | [
-0.0341796875,
-0.025390625,
-0.018310546875,
-0.0732421875,
-0.041748046875,
0.00830078125,
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0.0047607421875,
-0.0098876953125,
0.0673828125,
0.0089111328125,
0.041259765625,
0.048095703125,
0.01507568359375,
-0.10107421875,
0.02685546875,
0.10693359375,
0.0295410... | 35,578 | 35578 | |
Does this Banach manifold admit a Riemannian metric?
up vote 18 down vote favorite
5
First, the question; after, the motivation.
Consider 27.6 (pdf pp. 262-263) in The convenient setting of global analysis (AMS, 1997), and, in particular, the example given at the end of it, which concludes with: "Then the same result... | 4 | [
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0.01214599609375,
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-0.06787109375,
-0.0380859375,
0.010437... | 35,579 | 35579 | |
Taylor polynomials- please check
July 24th 2006, 11:32 AM #1
Junior Member
Joined
May 2006
Posts
31
Taylor polynomials- please check
Use taylor polynomials about 0 to evaluate cos(0.52) to 4 deciamal places, showing all your working.
What I did;
Since the taylor polynomial about 0 for cosine fu... | 5 | [
0.0233154296875,
-0.01611328125,
-0.0038604736328125,
0.01806640625,
-0.01123046875,
0.00433349609375,
0.003814697265625,
0.023681640625,
-0.002593994140625,
0.0233154296875,
0.051025390625,
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-0.036865234375,
-0.056640625,
-0.036865234375,
-0.06396484375,
-0.0517578125,
... | 35,580 | 35580 | |
Laplace Transformation help
June 23rd 2008, 04:36 PM #1
Newbie
Joined
Jun 2008
Posts
15
Laplace Transformation help
y"+3y'+2y=u2(t) and y(0)=0 and y'(0)=1
y"-y=20δ(t-3) and y(0)=0 and y'(0)=0
I am having a bit of trouble with these problems. Can anyone help?
Ben
The transform of the f... | 5 | [
-0.1103515625,
0.026611328125,
0.0103759765625,
-0.041015625,
0.0791015625,
0.0732421875,
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0.00946044921875,
-0.01226806640625,
0.10546875,
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0.060791015625,
-0.03515625,
0.016357421875,
-0.049560546875,
-0.058349609375,
-0.047607421875... | 35,581 | 35581 | |
A closed form of infinite products of complex zeros involving $\Im(\rho_n)$. Does a proof of this closed form imply RH?
up vote 4 down vote favorite
Building on this question scaling the imaginary part of $\rho$s in infinite products, I like to conjecture that:
$$\displaystyle \prod_{n=1}^\infty \left(1- \frac{s}{\mu... | 4 | [
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Spirit/Intellect Relationship, evaluating gear choice (math involved)
Disclaimer: Post is rather math heavy but provides useful nuggets of information. This has not been grammar checked yet as my brain is quite tired. Similarly I have not had a chance to super
thoroughly double check my math as it is late. Expect this... | 4 | [
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a double integral
Evaluate the given integral by changing to polar coordinates. $\int_{0}^{2}\,\,\,\,\,\,\,\,\,\,\int_{0}^{\sqrt{2x-x^{2}}}\sqrt{4-x^{2}-y^{2}}dxdy$ Thanks in advance.
The integral is $\int_0^2\int_0^{\sqrt{2x-x^2}}\!\!\!\sqrt{4-x^{2}-y^{2}}\,dy\,dx$. You need to work out the region over which the inte... | 4 | [
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Show Inequality X^2 > a
January 14th 2007, 04:42 AM #1
Banned
Joined
Jan 2007
Posts
315
Show Inequality X^2 > a
If a > 0, show that the solution set of the inequality x^2 > a consists of all numbers x for which -(sqrt{a}) < a (sqrt{a}).
Okay...what exactly is the question asking in simple math terms... | 4 | [
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Central Limit Theorem.
May 24th 2009, 05:02 AM
panda*
Central Limit Theorem.
Another one of those review exercises questions!
A box contains an unknown number of white and black balls. We wish to estimate the proportion p of white balls in the box. To do so, we draw n successive balls with replacement. Let ... | 5 | [
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Strongly continuous semigroups that cannot be contractions
up vote 6 down vote favorite
1
Let $X$ be a Banach space, and $(P_t)_{t \ge 0}$ a strongly continuous semigroup of bounded operators on $X$. Using the uniform boundedness principle, it's simple to prove that there are constants
$M, \omega$ such that $$\|P_t\| ... | 5 | [
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... | 35,587 | 35587 | |
relation rate word problem
July 22nd 2007, 10:41 AM
driver327
relation rate word problem
2. A ladder 13 ft. long rest against a vertical wall and is sliding down the wall at the rate of 3ft/s at the instant the foot of the ladder is 5 ft. from the base of the wall. At this instant
how fast is the foot( or ba... | 5 | [
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Different ways to construct maps and the tensor products of line bundles
up vote 2 down vote favorite
1
Let $C$ be a curve. Then I know of two ways to create morphisms. To get morphisms from $C$, take a line bundle of any degree $L$ and use the linear system it determines to get a map into projective
space, which may ... | 5 | [
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What Number Falls on the 124th Position?
Date: 01/06/98 at 08:47:23
From: Kate
Subject: Combinatorics
There are 720 (or 6!) permutations of the digits 1,2,3,4,5,6.
Suppose these permutations are arranged from smallest to largest
numerical value, beginning with 123456 and ending with 654321:
a. what number falls o... | 5 | [
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Simplifying the Square Root of (a + b*sqrt(c))
Date: 07/29/2004 at 12:44:01
From: Diego
Subject: More advanced simplification of square roots
I want to know how to simplify more advanced square roots, such as
sqrt(11 - 2sqrt(18)). I know that the answer is 3 - sqrt(2), and that
it is related to the fact that 9*2 = 1... | 5 | [
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0... | 35,591 | 35591 | |
Sampling Question - Help!!!
April 14th 2008, 05:04 PM #1
Newbie
Joined
Apr 2008
Posts
1
Sampling Question - Help!!!
A sample of 20 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. One each page the mean area devoted to display ads was measured ( a... | 5 | [
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rational integral
Hi, can somebody give any hint how to get this integral $\int\frac{x^3}{x^4+x^3+x^2+x+1}dx$ ?
Is... $1 + x + x^{2} + x^{3} + x^{4} = \prod_{k=1}^{4} (x-x_{k})$ , $x_{k} = e^{\frac{2 \pi k i}{5}}$ (1) ... so that... $\frac{x^{3}}{1 + x + x^{2} + x^{3} + x^{4}}= \sum_{k=1}^{4} \frac{r_{k}}
{(x-x_{k})}$... | 4 | [
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Proof of intermediate value theorem for a particular case
April 25th 2011, 07:26 AM
poirot
Proof of intermediate value theorem for a particular case
Let
f be a continuous function on the closed interval [0; 1], and suppose that f(0) < 0
and that f(1) > 0. By considering the set S= {x E [0,1] :f(x)_<0) p... | 4 | [
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Disproving a limit from the formal definition
March 18th 2011, 08:37 AM #1
Junior Member
Joined
Mar 2011
Posts
34
Disproving a limit from the formal definition
Hello
I'm having a lot of trouble with this proof:
Prove that the limit of f(x) = (x+1)/3 as x approaches 1 is NOT 2/3 + 10^-100
I... | 5 | [
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Is the following result consistent
Since it includes the information that "n= 6", I would interpret this as summing over 6 terms- and assume that the sums run from 1 to 6: $\sum_{i= 0}^6 x_i^2= 64$ and $\sum_{i= 1}^6 x_i= 25$ So the
question is "do there exist 6 numbers, that sum to 25, whose squares sum to 64?" That i... | 4 | [
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mean value theorem
October 11th 2009, 10:14 AM #1
Junior Member
Joined
Sep 2009
Posts
53
mean value theorem
Use the Mean Value Theorem to prove that sqrt(1+x) < 1 + x/2 for all x > 0. Generalize this result to the function (1+x)^r, where r < 1 is a positive rational number.
Thanks!
Using the MV... | 5 | [
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Proving Uniform Convergence with epsilon proof.
March 3rd 2014, 02:39 PM #1
Junior Member
Joined
Apr 2013
From
Green Bay
Posts
68
Thanks
16
Proving Uniform Convergence with epsilon proof.
Prove that f[n](x) = n^2x^2e^-nx converges uniformly on [1, inf). I have to use epsilon proof.
I have fo... | 5 | [
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Really stuck please help
March 8th 2007, 01:38 PM #1
Newbie
Joined
Feb 2007
Posts
12
Really stuck please help
Hey people,
im really stuck on this and wondered if you could help please.
Q: A heavy crate of mass m is pulled along a rough horizontal surface at a constant speed by a rope. The coeffi... | 5 | [
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