content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Lagrangian function.
September 27th 2009, 08:53 PM
jebckr
Lagrangian function.
f(x,y)=2x^2+y^2 subject to the constraint of x+y=1.
I understand how to set it up and how to find f with respect to x y and L.
fx=4x+L
fy=2y+L
fL=x+y-1
So, again...I understand the cal part of it, but fail to re... | 4 | [
0.06494140625,
-0.06103515625,
0.0213623046875,
0.0150146484375,
0.048828125,
0.07666015625,
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0.06884765625,
-0.0546875,
-0.0159912109375,
0.0703125,
-0.0302734375,
-0.020263671875,
0.003204345703125,
-0.0294189453125,
0.06689453125,
-0.10888671875,
-0.12451171875... | 46,300 | 46300 | |
Standard error?
September 9th 2007, 09:02 AM #1
Newbie
Joined
Sep 2007
Posts
3
Standard error?
How can I calculate this please? If I am dividing two numbers?
Say divide
333.7Β±7.8 by 1.08Β±0.09 ?
if I simply divide 7.8 by 0.089 then that is 86.66 which is surely too big?
thanks
The... | 5 | [
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0.0439453125,
0.040283203125,
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-0.02099609375,
... | 46,301 | 46301 | |
mathschallenge.net
Highest Roll Wins
Problem
In deciding who should pay for lunch, Jane challenges John and James to a game of chance, "I shall take two ordinary 6-sided dice, roll them, and add their scores together. Then one of you shall do
the same. If the second total is higher, John pays for lunch, if it is lowe... | 4 | [
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0.125,
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0.0380859375,
-0.003997802734375,
-0.0189208984375,
-0.022705078125,
0.027587890625,
0.0109863281... | 46,302 | 46302 | |
What is the relation between Lefschetz fixed point theorem and Poincare-Hopf theorem on vector fields?
up vote 6 down vote favorite
In Dubrovin/Fomenko/Novikov Modern geometry--Methods and applications, Part II, the (Poincare-)Hopf theorem is treated in section 15.2 (see theorem 15.2.7 on page 129), while the Lefschet... | 4 | [
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0.0179443359375,
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0.058349609375,
... | 46,303 | 46303 | |
When do Kan extensions preserve limits/colimits?
up vote 5 down vote favorite
4
I'm guessing the answer to this question is well-known:
Suppose that $Y:C \to P$ and $F:C \to D$ are functors with $D$ cocomplete. Then one can define the point-wise Kan extension $\mathbf{Lan}_Y\left(F\right).$ Under what conditions does... | 5 | [
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0.0490... | 46,304 | 46304 | |
Critical Points and Linearization
September 26th 2009, 05:34 PM
dsprice
Critical Points and Linearization
Problem:
Determine the location and type of all critical points by linearization.
y1' = -y1 + y2 - (y2)**2
y2' = -y1 - y2
From the above, I set both equal to zero and determined the critic... | 5 | [
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0.05322265625,
-0.016357421875,
-0.102539... | 46,305 | 46305 | |
Problem understanding question
May 12th 2013, 09:15 PM #1
Problem understanding question
I have a problem:
1. Find two positive numbers whose sum is 300 and whose product is a maximum.
What I don't understand is that last constraint: ''is a maximum''. What do they mean by a product being a maximum? Than... | 4 | [
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-0.046142578... | 46,306 | 46306 | |
Congruence Equations
Could someone help me find the solutions to the following: (x^2)+x=0 in Z5. (x^2)+x=0 in Z6. Thanks. MK
Hello, MK! These are of the same type . . . I'll explain the first one. xΒ² + x .= .0 .(mod 5) We can apply standard algebraic methods. Factor: .x(x + 1) .= .0 .(mod 5) Then: .x .= .0 .(mod 5) . ... | 4 | [
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-0.00433349609375,
-0.018432617187... | 46,307 | 46307 | |
[SOLVED] simple series question
June 5th 2010, 09:03 PM #1
Junior Member
Joined
Aug 2008
Posts
74
Thanks
1
[SOLVED] simple series question
assume the following series converge: $\sum_{j=1}^\infty (d_{2j}+d_{2j+1})$ and $\sum_{j=1}^\infty (d_{2j+1}+d_{2j+2})$, where $d_j$ can have any sign, and the co... | 5 | [
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0.03515625,
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0.02734375,
-0.04248046875,
-0.052001953125,
0.0230712890625,
0.017211914... | 46,308 | 46308 | |
KAISER
Purpose:
Multiplies a series with a Kaiser window.
Syntax:
KAISER(series, ampflag, beta)
series - A series or array.
ampflag - Optional. An integer, the amplitude correction flag:
0 : do not correct amplitude (default)
1 : correct amplitude
2 : correct RMS amplitude
... | 4 | [
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-0.0036... | 46,309 | 46309 | |
solve perpendicular vectors problem
December 7th 2009, 04:34 PM #1
Newbie
Joined
Nov 2009
From
some place in th Milky Way, usually
Posts
13
(the vectors in the problem are really in column form, but i don't know how to type that so i put them in component form)
vectorP = 2i +5j
vectorQ = -i+ ... | 5 | [
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0.060546875,
-0.0137939453125,
0.03491210... | 46,310 | 46310 | |
Characteristic subgroups are normal
December 9th 2011, 03:08 PM #1
Characteristic subgroups are normal
Can anyone please help with the following problem from Dummit and Foote:
================================================== =======================
Prove that characteristic subgroups are normal. Give ... | 5 | [
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0.020874... | 46,311 | 46311 | |
Analogue Bialgeras vs Lie bialgebras
up vote 3 down vote favorite
3
I once thought that the analogue of bialgebras and Lie bialegras is similar to that of (associative) algebras and Lie algebras, but it seems not that trivial.
Recall the definitions: a) bialgebra $A$ is a algebra $A$ with a comultiplication $\delta: ... | 4 | [
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0.1171875,
-... | 46,312 | 46312 | |
Average distance between 2 random points
April 9th 2010, 09:26 PM #1
Newbie
Joined
Apr 2010
Posts
1
Average distance between 2 random points
Here's a problem I've been struggling with:
If I select two numbers at random between 0 and 100 (inclusive and they can be the same number) what is the average... | 5 | [
-0.009033203125,
0.04541015625,
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0.0103759765625,
0.0595703125,
-0.1059570312... | 46,313 | 46313 | |
dy
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Dodo1 Group Title
f(x)=[Inx]^4
β’ one ye... | 5 | [
-0.01904296875,
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0.0264892578125,
-0.118652... | 46,314 | 46314 | |
Expected Value of a Function of a Random Variable Questions
November 7th 2009, 03:38 PM #1
Member
Joined
Nov 2008
Posts
152
Expected Value of a Function of a Random Variable Questions
1) A tool and die company makes castings for steel stress-monitoring gauges. Their annual profit, Q, in hundreds of thous... | 5 | [
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[Numpy-discussion] Faster way to generate a rotation matrix?
Charles R Harris charlesr.harris@gmail....
Wed Mar 4 03:07:40 CST 2009
On Wed, Mar 4, 2009 at 1:27 AM, Robert Cimrman <cimrman3@ntc.zcu.cz> wrote:
> Jonathan Taylor wrote:
> > Sorry.. obviously having some copy and paste trouble here. The
> > message shou... | 4 | [
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0.... | 46,316 | 46316 | |
Solving for X
Date: 5/14/96 at 23:44:24
From: Tanya Chongchit
Subject: X^2 - 7X + 10 = 0
I am having a totally hard time trying to figure out this equation and
it is getting on my nerves! Please help me and show me
each step to solving X. Thank you!
X^2 - 7X + 10 = 0
Is this what I am supposed to do?
... | 4 | [
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-0.00640869140625,
-0.08... | 46,317 | 46317 | |
eek
October 29, 2009
This Week's Finds in Mathematical Physics (Week 282)
John Baez
This week I'll get back to explaining some serious math: the relation between associative, commutative, Lie and Poisson algebras, and how this relates to quantization. There's some beautiful algebra
and combinatorics that shows up he... | 4 | [
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Principal component analysis
Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |
Statistics: Scientific method Β· Research metho... | 4 | [
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0.0240478515625,... | 46,319 | 46319 | |
Existence and uniqueness of solutions for delay boundary value problems with p-Laplacian on infinite intervals
Abstract
This paper is concerned with the existence and uniqueness of solutions for boundary value problems with p-Laplacian delay differential equations on the half-line. The existence of solutions is
derive... | 5 | [
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Elliptic Curves: Algorithms
Date: 03/11/99 at 02:35:04
From: Mark Pineda
Subject: Elliptic curve factoring
If the family of elliptic curves is defined by y^2 = x^3 + 1, how do
we find the number of points on the curve over F sub p?
Date: 03/11/99 at 16:24:59
From: Doctor Rob
Subject: Re: Elliptic curve factoring
... | 5 | [
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... | 46,321 | 46321 | |
Statistics - Median & Mean
June 2nd 2008, 03:56 AM #1
Newbie
Joined
May 2008
Posts
23
Statistics - Median & Mean
The table gives marks out of 50 by 40 candidates:
Class Frequency
1-10 7
11-20 8
21-30 15
31-40 7
41-50 3
(i) In which class deos the median mark lie?
(... | 4 | [
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p-adic canonical form
p-adic canonical form
Every non-zero $p$-adic number ($p$ is a positive rational prime number) can be uniquely written in canonical form, formally as a Laurent series,
$\xi=a_{{-m}}p^{{-m}}+a_{{-m+1}}p^{{-m+1}}+\cdots+a_{0}+a_{1}p+a_{2}p^{2}+\cdots$
whereβ $m\in\mathbb{N}$,β $0\leqq a_{k}\leq... | 4 | [
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-0.... | 46,323 | 46323 | |
Basic mathematical models
December 1st 2010, 09:34 PM #1
Newbie
Joined
Dec 2010
Posts
3
Basic mathematical models
SO I have a math problem that I forgot how to do.
I need to develop a mathematical model describing the number of cicadas in a given year.
Year: | 1953 | 1970 | 1987 | 2004
Cica... | 4 | [
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Projective dimension
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is it true that if a module has a free resolution of length $d$ then any of its submodule has a free resolution of length $\leq d$?
up vote 2 down vot... | 5 | [
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0.0581054... | 46,325 | 46325 | |
Can someone help me step by step with finding derivatives?
October 8th 2008, 11:14 AM #1
Junior Member
Joined
Sep 2008
Posts
43
Can someone help me step by step with finding derivatives?
I missed my last math lecture and now im reallllly confused. And this hw is due tonight. The question is:
Suppose ... | 4 | [
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0.012817382812... | 46,326 | 46326 | |
Sum of Consecutive Squares
Date: 05/11/2001 at 19:59:27
From: Robert DiPietro
Subject: Sum notation
Hi,
I have searched over and over for how this equation was derived:
n
Sum [i^2] = ((n)(n+1)(2n+1))/6
i=1
Why?
Thank you.
Date: 05/11/2001 at 20:12:35
From: Doctor Schwa
Subject: Re: Sum notation... | 5 | [
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0.0390625,
0.05712890625,
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0.042724609375,
... | 46,327 | 46327 | |
Optimization Question
March 8th 2006, 07:23 PM #1
TopGur
Guest
Optimization Question
I'm trying to check the answer for these 2 questions
1. You are in a rowboat two miles from the nearest point on a straight shoreline. You noticed smoke billowing from your house, which is 6miles along the shoreline from the ... | 5 | [
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-0.015869140625,
-0.02... | 46,328 | 46328 | |
Primality criteria for specific class of Wagstaff numbers ?
up vote 2 down vote favorite
I asked this question on mathstackexchange but didn't get any answer .
Definition :
Let $W_p$ be a Wagstaff number of the form :
$W_p=\frac{2^p+1}{3}$ , with $p\equiv 1 \pmod 4$
Next , define sequence $S_i$ as :
$... | 4 | [
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... | 46,329 | 46329 | |
[MetaCRS] mercator scale calculation q
Mikael Rittri Mikael.Rittri at carmenta.com
Mon Apr 27 03:49:23 EDT 2009
Hello Mark,
> Am I anywhere close to the solution?
Close, but no cigar.
It is not clear to me whether your Mercator uses formulas
for an ellipsoid-shaped Earth, or if you can assume that
the Earth is sph... | 5 | [
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0.06884765625,
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... | 46,330 | 46330 | |
Integrate Modified Bessel Function
August 27th 2009, 05:52 AM #1
Junior Member
Joined
Aug 2009
Posts
29
Integrate Modified Bessel Function
I have been given a modified Bessel function $I_{n}(z)$ and it it defined by the integral
$I_{n}(z) = \frac{1}{\pi}\int_{0}^{\pi}d\theta{e^{zCos\theta}} Cos(n\th... | 5 | [
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0.018... | 46,331 | 46331 | |
Determine the Interval of Convergence
November 12th 2008, 10:54 PM
kl.twilleger
Determine the Interval of Convergence
Determine the interval of convergence
$\sum \frac{-1^k(x+\frac{\pi}{2})^{2k+1}}{2k+1}$
I used the ratio test and got it down to
$\frac{1}{2}\lim= -(x+\frac{\pi}{2})^3$
but I t... | 5 | [
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Prove that g(x) greater than/equal to 0?
May 23rd 2009, 10:20 PM #1
Prove that g(x) greater than/equal to 0?
Let $f(x) = x^2 - 2x$, $x\in \mathbb{R}$ and $g(x) = f(f(x) - 1) + f(5 - f(x))$. Show that $g(x)\geq 0\ \forall\ x\in \mathbb{R}$.
This is just an algebraic exercise in applying simple identities. I w... | 4 | [
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Approximation of the law of a stochastic process
up vote 3 down vote favorite
Hello Dear fellows,
I thank you in advance for your help and ideas.
I have just read an article and want you to help me understand the rational behind a part of it.
We have two processes $v_t$ and $V_t$
such that:
$dv_{t}=\omega v_{t} d... | 5 | [
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Dynamic Analysis of the Shaping Machine Mechanism
Darina HroncovΓ‘^1, , Ingrid DelyovΓ‘^1, Peter FrankovskΓ½^1, Anna PuzderovΓ‘^1
^1Department of applied mechanics and mechatronics, Technical University of KoΕ‘ice / Faculty of mechanical engineering, KoΕ‘ice, Slovakia
Abstract
This paper considers the problem of dynamic ... | 4 | [
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Field Extensions - Basic Theory
September 21st 2013, 12:06 AM #1
Field Extensions - Basic Theory
I am reading Dummit and Foote Ch 13 on Field Theory.
On page 515-516 D&F give a series of basic examples on field extensions - see attachment.
The start to Example (4) reads as follows: (see attachment)
... | 4 | [
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0.000... | 46,336 | 46336 | |
Math Forum Discussions
Re: Ariadne's thread
Posted: Dec 13, 2011 9:58 AM
Franz,
Your point: "Additive number patterns
and sequences were the universal tool of Egyptian and
Mesopotamian mathematics, and now prove their worth
also when it comes to Mesoamerican astronomy and
mathematics. They allow to work with integers... | 4 | [
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-0.01556396484375,
-0.046142578125,
-0.0378417968... | 46,337 | 46337 | |
When is the neighbourhood of a set a ball?
up vote 3 down vote favorite
In euclidean n-space, it's easy to show that given a set $S$ of radius $< r$, the $a$-neighbourhood of $S$ is a ball, for any $a \geq 2r$.
Proof: Let $S$ be contained in $B_r(y)$, $y \in \mathbb{R}^n$. Note that if $a \ge 2r$ then $ B_r(y) \s... | 5 | [
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-0.... | 46,338 | 46338 | |
The Laws of Exponents
6.1: The Laws of Exponents
Created by: CK-12
Multiplying and Dividing Exponential Terms
Objectives
The lesson objectives for the Laws of Exponents:
β’ Multiplying Exponential Terms
β’ Dividing Exponential Terms
Introduction
If $a \varepsilon R$$n \varepsilon N$$n$$a$
$& a^n = \underleftr... | 4 | [
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... | 46,339 | 46339 | |
Finding the triplets
June 21st 2012, 12:56 PM #1
Member
Joined
Sep 2011
Posts
149
Finding the triplets
Find the all arranged triplets ,from positive real numbers ( a,b,c)
that: (a)bc=3,a(b)c=4,ab(c)=5,which (x) is the greatest integer less than or equal to x
Last edited by Mhmh96; June 21st 201... | 5 | [
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-0.0380859375,
-0.008300... | 46,340 | 46340 | |
Differentiation - Gradient equals zero
February 11th 2010, 09:26 PM #1
Super Member
Joined
Dec 2009
Posts
755
Differentiation - Gradient equals zero
Calculate the coordinates at which the gradient is zero for the curve $y=\frac{\sqrt{1-x}}{\sqrt{x^2+3}}$
Attemped solution
$Let u=\sqrt{1-x}$ and... | 5 | [
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-0.02734375,
... | 46,341 | 46341 | |
Power series $f$ such that $f(\zeta_{p^n}-1)=1/p^n$ for almost all $n \geq 0$
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $p$ be a prime number and $\zeta_{p^n}$ a primitive $p^n$-th root of unity. Find $f \in \ma... | 5 | [
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-0.03369140625,
-0.02111... | 46,342 | 46342 | |
different answers for derivative?
March 1st 2013, 05:24 AM
dhtikna
different answers for derivative?(Solved)
Take this trigonometric function:
$\frac{d \(sin{(\cos{\theta})})^2}{d \theta}}$
Using the chain rule i think it becomes:
$-2\theta\sin{(\cos{\theta})}\sin{\theta}$
But if we use the i... | 5 | [
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-0.0303... | 46,343 | 46343 | |
lattice paths and ballot numbers
lattice paths and ballot numbers
A lattice path is a path in $\mathbb{R}^{n}$ whose vertices are lattice points in some lattice (for example, points of $\mathbb{R}^{n}$ all of whose coordinates are integers). This article considers
lattice paths in the plane from $(0,0)$ to $(m,n)$ fo... | 5 | [
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0.0... | 46,344 | 46344 | |
Coupling of non-probability/sub-probability measures
up vote 4 down vote favorite
3
A coupling of two probability measures $P,\tilde P$ on a Borel space $X$ is any probability measure on $X^2$ whose one-dimensional marginals are $P$ and $\tilde P$. In particular, for any such
coupling $\Bbb P$ we have $$ 2\cdot \Bbb P... | 4 | [
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0.09765625,
-0.0201416015625,
-0.045... | 46,345 | 46345 | |
Find the angles
November 10th 2007, 06:48 AM #1
Junior Member
Joined
Sep 2007
Posts
55
Find the angles
Find the angle Ξ, 0 β€ Ξ β€ 2 pi
Cos Ξ = 0.2157 Tan Ξ =-0.7147
The answers I were given show 2 answers can be found. Can someone tell me the answers for both questions and explain how it can be ... | 4 | [
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0.03076171875,
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0.06787109375,
0.013671875,
-0.039306640625,
-0.0079345703125,
-0.082031... | 46,346 | 46346 | |
calculate the angle
April 18th 2010, 03:17 PM #1
Senior Member
Joined
Aug 2009
Posts
349
calculate the angle
ok well when you look at the attachment you can see the diagram i am supposed to be using to figure out the answer to the questions. i dont know where to start i havent had geometry since high
... | 4 | [
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0.053955078125,
-0.017578125,
0.034912109375,
-0.042236328125,
0.010314941406... | 46,347 | 46347 | |
Cauchy sequence in Q not converging to zero.
March 7th 2012, 01:27 AM
Arturo_026
Cauchy sequence in Q not converging to zero.
I have the following exercise:
Let s_n be a cauchy sequence in Q(rationals) not converging to 0. Show that there exists an e(epsilon) >0 and a natural number N such that either for a... | 5 | [
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0.043212890625,
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-0.1044921875,
0.048828125,
-0.0234375,
0.11... | 46,348 | 46348 | |
Trapezoid Altitude
April 30th 2012, 03:58 AM
lei
Trapezoid Altitude
Is there a formula to calculate the altitude of a part of a trapezoid?
Please see the attachment.
I would like to solve for X
Thanks,
April 30th 2012, 04:20 AM
Plato
Re: Trapezoid Altitude
Quote:
This can be done. But... | 4 | [
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-0.037109375,
0.0771484375,
0.0... | 46,349 | 46349 | |
How to calculate Dr. Curt McMullen's expanding eigenvalues for totally degenerate groups?
up vote 2 down vote favorite
What is required in order to derive the expanding eigenvalues of Dr. Curt McMullen's torus orbifold bundles over the circle and the corresponding totally degenerate groups, as presented in Section
3.7... | 5 | [
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0.017333984375,
-0.10107421875,
0.0173339843... | 46,350 | 46350 | |
Random permutation
Talk0
34,135pages on
this wiki
Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |
Statistics: Scientific... | 4 | [
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0.087890625,
0.041748046875,
0.006988525390625,
-0.033935546875,
0.013427734375,
-0.0260009765625... | 46,351 | 46351 | |
Maclaurin's Series question
September 20th 2006, 01:35 AM #1
Junior Member
Joined
Jul 2006
From
Singapore
Posts
55
Maclaurin's Series question
I can't get this:
y = ln(1 + tan x)
(i) Show that d2y/dx2 = -1 when x = 0.
Thanks if you could help, I'm preparing for my promos next week!
... | 5 | [
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0.0791015625,
-0.016357421875,
0.03662109375,
-0.048828125,
-0.029541015625,
... | 46,352 | 46352 | |
What is the length from B to C? What is the area of triangle?
Diagram here: http://img172.imageshack.us/img172/1344/trig.jpg What is the length from B to C? What is the area of triangle?
Use the Law of Cosines to find the length of BC: \begin{aligned}<br /> BC^2 &= AB^2 + AC^2 - 2(AB)(AC)\cos A \\<br /> BC^2 &= 30^2 +... | 4 | [
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0.03173828125,
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0.0186767578125,
-0.00061798095703125,
-0.02282714... | 46,353 | 46353 | |
The Fundamental Theorem of Calculus in Lebesgue Theory
up vote 7 down vote favorite
3
Dear all,
I am interested to what extent the famous identity
$\int_a^b f'(x) \ dx=f(b)-f(a)$
is true for a function $f:[a,b]-> \mathbb C$ continuous on $[a,b]$ and differentiable on $(a,b)$. One famous easy case of this problem is... | 5 | [
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-0.03125,
0.041015625,
0.03173... | 46,354 | 46354 | |
Binary operation - Heeelp!!
May 5th 2014, 04:23 PM #1
Newbie
Joined
May 2014
From
Cayman
Posts
13
Binary operation - Heeelp!!
Let * be a binary operation on R given by
x * y = x + y - xy, β x, y β R.
(i) Determine whether * is commutative.
(ii) Determine whether * is associative.
... | 4 | [
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0.041259765625,
0.09375,
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0.02612304... | 46,355 | 46355 | |
Optimization Problem
November 30th 2008, 06:03 PM
Afterme
Optimization Problem
Hi this is the problem i'm having trouble with.
Find two numbers whose difference is 100 and whose product is minimum.
I don't even know where to start on this one. Thanks guys.
November 30th 2008, 07:20 PM
Steve_J
Opti... | 4 | [
-0.0279541015625,
0.109375,
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0.06201171875,
0.09912109375,
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0.07080078125,
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-0.05419921875,
0.1123046875,
0.0693359375,
0.0162353515625,
0.0859375,
-0.01519775390625,
0.009582519... | 46,356 | 46356 | |
help me to simplify this factorial
$\begin{array}{l}<br /> \left( {k + 1} \right)! - 1 + \left( {k + 1} \right)\left( {k + 1} \right)! \\ <br /> \left( {k + 1} \right)!\left[ {1 + \left( {k + 1} \right)} \right] - 1 \\ <br /> \left(
{k + 2} \right)! - 1 \\ <br /> \end{array}<br /> <br />$
Hello, TheRekz! Simplify: . $... | 4 | [
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0.033203125,
0.005340576171875,
... | 46,357 | 46357 | |
Solution for Trig Equality
Associated Topics || Dr. Math Home || Search Dr. Math
Solution for Trig Equality
Date:... | 4 | [
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0.0... | 46,358 | 46358 | |
Is there an amenabilization of groups ?
up vote 7 down vote favorite
3
Given any group $G$, is there an amenable group $A(G)$ together with a morphism $G\rightarrow A(G)$, such that every other morphism $G\rightarrow A'$ to another amenable group $G'$ uniquely
factorizes through $A'$?
That is the question. My approac... | 4 | [
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... | 46,359 | 46359 | |
HELPPPP! Trigonometry!
November 7th 2007, 12:27 AM #1
Newbie
Joined
Nov 2007
Posts
2
2(sin^-1x)cubed+5(sin^-1x)squared-1=0
Helppp solve the equation. Please?
As well as find the area and perimeter of the triangle.
cos(a) equals approximately -.125, b=8, c=8
Helpppp!
-Thanks
... | 5 | [
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-0.00927734375,
-0.... | 46,360 | 46360 | |
Parametric Equation Question
December 1st 2013, 05:49 PM #1
Junior Member
Joined
Oct 2013
From
Singapore
Posts
57
Thanks
9
Parametric Equation Question
Hello Everyone again! I'm trying to do this question and I'm rather stumped on the last part. Parametric Equation is turning into a nightmare for... | 5 | [
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0... | 46,361 | 46361 | |
Can a non-trivial action of a connected group on a reduced scheme be trivial on a dense open?
up vote 3 down vote favorite
2
It is well-known that if a reduced algebraic group $G$ acts on a separated reduced scheme $X$, and $G$ acts trivially on a dense open subscheme $U\subseteq X$, then the action is trivial.
If $X... | 5 | [
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-0.00152587890625... | 46,362 | 46362 | |
Vector question 2
Use cross product to find the sine of the angle between the vectors u (2,3,-6) v(2,3,6)
Hello, thanks for replying I know the formula to solve this question, just that i've gt this equation: (36 , -30, 0) = 10 sin alpha How am i going to manipulate this?
I'm not sure how you got this result ... Use ... | 4 | [
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0.0400390625,
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0.06884... | 46,363 | 46363 | |
Optimal number of clusters
January 16, 2013
By systematicinvestor
In the last post, Examples of Current Major Market Clusters, we looked at clustering Major Markets into 4 groups based on their correlations in 2012. Today, I want to continue with clustering theme
and discuss methods of selecting number of clusters.
... | 4 | [
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-... | 46,364 | 46364 | |
Plus Magazine
November 2003
Independence Day: solution
Let's suppose the two examiners found A and B errors respectively and that they found C of them in common. Now assume that A has a probability a of detecting a mistake, while B has a probability b of
detecting a mistake. If the total number of typographical erro... | 5 | [
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0.0082397460... | 46,365 | 46365 | |
Noncontractible connected topological rings ?
up vote 11 down vote favorite
3
Are there any non-contractible connected topological rings?
Of course, such a thing cannot be a (topological) algebra over the reals.
(I have a vague memory of having a glance at an erticle by Lurie in which some (for me) rather esoter... | 4 | [
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Simpson's Rule
Associated Topics || Dr. Math Home || Search Dr. Math
Simpson's Rule
Date: 04/12/97 at 16:11:25
... | 5 | [
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Idempotents split in category of smooth manifolds?
up vote 15 down vote favorite
2
In his paper "Qualitative Distinctions Between Some Toposes of Generalized Graphs" (reproduced here), page 267, Lawvere says that the idempotent-splitting completion of the category of open sets of
Euclidean spaces $\mathbb{R}^n$ and sm... | 4 | [
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-0.0247... | 46,368 | 46368 | |
Modern Geometry: Proving Angles Congruent
February 22nd 2009, 01:52 PM #1
If WS = WT and RS = ST = TU, with R-S-T-U, prove that β RWS TWU.
My work so far:
Proof:
Given: WS = WT and RS = ST = TU, with R-S-T-U
Given that R-S-T-U, we know R-S-T, S-T-U, R-S-U, and R-T-U.
β WST β WTS by the Isosceles... | 4 | [
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... | 46,369 | 46369 | |
Math Help
April 20th 2010, 10:41 AM #1
Super Member
Joined
Aug 2009
Posts
639
grad
given that a space craft is approaching too close to the sun. the temperature of craft at (x,y,z) is T(x,y,z)=exp(-x^2-2y^2-3Z^2)where x,y,z are in metres. the craft is now at (1,1,1). if the
craft travels at exp(8) m... | 5 | [
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0.01770019... | 46,370 | 46370 | |
[SOLVED] Physics - Projectile Motion, Vectors
February 2nd 2010, 04:02 PM #1
Newbie
Joined
Jan 2008
Posts
11
[SOLVED] Physics - Projectile Motion, Vectors
A playground is on the flat roof of a city school, 5.1 m above the street below (see figure). The vertical wall of the building is h = 6.50 m high, fo... | 4 | [
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0.029907226562... | 46,371 | 46371 | |
Completing the square.
July 21st 2011, 04:27 PM #1
Newbie
Joined
Jul 2011
Posts
16
Completing the square.
I tried to complete the square (I think thats what it's called) when I multiplied (-2)(15)=-30 and get the factors of -30 that add up to -12 but none of them work e.g (-15) and (2) add up to -13... | 4 | [
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0.0314941... | 46,372 | 46372 | |
Doubling and Halving Trick for GMAT Math
Learn one of the handiest tricks for math without a calculator! Β
Without a calculator, what is
1. 35 x 12?
2. 150 x 36?
3. 125 x 84?
On the GMAT, you donβt get a calculator. With the doubling and halving trick, all of these become much easier.
Thinking about multiplicatio... | 4 | [
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0.140625,
... | 46,373 | 46373 | |
Drop Rate Inspired.
September 6th 2009, 07:35 PM #1
Newbie
Joined
Sep 2009
Posts
6
Drop Rate Inspired.
OK so i was playing a RPG earlier today and was astonished at how many people couldn't understand that drop rates are not linear so I decided to create a simple formula as to how to determine
%chanc... | 4 | [
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0.056640625,
... | 46,374 | 46374 | |
Need help proving trig identity.
June 25th 2010, 07:52 PM #1
Junior Member
Joined
Jul 2009
Posts
35
I don't know how to star solving this problem, I'm new in calculus..
f(x+y) - f(x) = sec^2 x tan y / 1 +tan x tan y
What are u trying to find?
this one sir..
given: f(x)=tan x ,show that... | 4 | [
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0.078125,
-0.0081176... | 46,375 | 46375 | |
The factorial of -1, -2, -3, ...
up vote 11 down vote favorite
3
Well, n! is for integer n < 0 not defined -- as yet.
So the question is: How could a sensible generalization of the factorial for negative integers look like?
Clearly a good generalization should have a clear combinatorial meaning which combines well w... | 4 | [
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0.0167236328125,
0.10302734375,... | 46,376 | 46376 | |
Maximal separable extensions of residue fields
up vote 4 down vote favorite
Assume that $(A,m)$ is a Noetherian normal local domain, $K = Quot(A) \subset E, F$ Galois extensions of $K$. If $B=\overline{A}^{E}$, $C=\overline{A}^F$, and $D=\overline{A}^{EF}$ and we choose
primes $m_B, m_C$, and $m_D$ (in the correspondi... | 5 | [
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0.07177734375,
0.0115966796875,
0.029296875... | 46,377 | 46377 | |
Zero to a Negative Exponent
Date: 05/06/2001 at 22:15:44
From: Dave Bailis
Subject: Zero to a negative exponent
The students and I had the following problem: What is 0^-3 (zero to
the negative third power)?
We decided that zero to the (any number) exponent should be, by
definition, zero; however, the textbook answe... | 4 | [
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0.015869140625,
-0.04443359375,
-0.0139770... | 46,378 | 46378 | |
A unusual Eisenstein type series
up vote 4 down vote favorite
1
When working on certain integral transforms I have come across the following unusual looking series;
$$ E(z_1,z_2,s) = \sum_{ \{ \ (a,b,c,d)\in \mathbb{Z}^4 \ | \ ad-bc=1 \ \} } \frac{ \Im(z_1)^s\Im(z_2)^s}{ |(az_1+b)\bar{z}_2+(cz_1+d)|^{2s}} $$ where $\... | 4 | [
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-0.07666015625,
-0.0225830078125,
0.0126342773437... | 46,379 | 46379 | |
Line bundles with complex connection
up vote 1 down vote favorite
1
Suppose that we have a complex manifold $X$, and a line bundle $L$ over $X$. It is known that the line bundles over $X$ are parametrized by their Chern class, the Chern class being the cohomology
class of the curvature of a connection on $L$, which mu... | 4 | [
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-0.0101928710937... | 46,380 | 46380 | |
Foundations of Mathematics
David Hilbert (1927)
The Foundations of Mathematics
Source: The Emergence of Logical Empiricism (1996) publ. Garland Publishing Inc. The whole of Hilbert selection for series reproduced here, minus some inessential mathematical formalism.
It is a great honour and at the same time a necessi... | 4 | [
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0.0673828125,
-0.08154296875,
-0.... | 46,381 | 46381 | |
Interview Questions - Help
November 10th 2009, 01:30 AM
Garfield
Interview Questions - Help
Hi everyone,
I have an interview for a job coming up and they have asked me to bring in answers to a couple of conditional probability questions.
Would any of you guys be able to tell me your answer to the follo... | 5 | [
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0.0184326171875,
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0.00689697265625,
-0.0216064453125,
0.0033721923828125... | 46,382 | 46382 | |
Continuous Functions Proof
May 5th 2009, 03:35 PM #1
Member
Joined
Oct 2008
Posts
124
Continuous Functions Proof
Define f : R β R by f(x) = 5x if x is rational and f(x) = xΒ² + 6 if x is irrational. Prove that f is discontinuous at 1 and continuous at 2. Are there any other point besides 2 at which f is
... | 5 | [
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Drawing black tiles! Tough one
June 24th 2010, 06:06 AM #16
I would like to thank you in advance for your help and support.
I think at first we should try to chance your reasoning a little just for the 100*100 area scenario. I will start studying now and I ll try to post back later on this evening. I would li... | 4 | [
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Does a triangulation without fixed simplex property always exist?
up vote 11 down vote favorite
4
Suppose we are given a triangulable topological space $X$. If $X$ has the fixed point property (FPP), then obviously for every triangulation $K$ of $X$ and every simplicial map $f:K\to K$ a simplex $
\sigma\in K$ exists s... | 5 | [
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Roots Question..
Root (4+ root(4 - root(4+ root(4-..... Infinity Plz solve this.. To find SUm
Last edited by umangarora; September 3rd 2010 at 01:03 AM.
Hello, umangarora! Evaluate: . $\sqrt{4 + \sqrt{4+ \sqrt{4 + \sqrt{4 + \hdots}}}}$ $\text{We have: }\;x \;=\;\sqrt{4 + \underbrace{\sqrt{4 + \sqrt{4 + \sqrt{4 + \hdo... | 4 | [
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Python in Science
Today I took the day off to implement the
Gillespie SSA algorithm
. For those of you who have never heard of it is a solver for stochastic equations. There is no implementation of it in Python (to my knowledge) and the only other easily accessible implementation I
found was the one on the GillespieS... | 4 | [
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Calculus Archive | June 19, 2009 | Chegg.com
Calculus Archive: Questions from June 19, 2009
β’ Anonymous asked
3 answers
β’ Anonymous asked
3 answers
β’ Anonymous asked
1 answer
β’ Anonymous asked
2 answers
β’ Anonymous asked
2 answers
β’ Anonymous asked
2 answers
β’ Anonymou... | 5 | [
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Fraction problems
October 4th 2009, 03:03 AM #1
Newbie
Joined
Oct 2009
From
Imperial College London
Posts
14
Fraction problems
Hey i was looking for help on these problems; how would i go about finding the solutions to them both?
1.If a storage tank is holding 450 liters when it is three quarter... | 4 | [
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Sequences, Series
October 2nd 2009, 01:25 PM #1
Member
Joined
Sep 2009
Posts
79
Sequences, Series
4. Prove that the terms of the sequence $U_n = n^{2}-10n+27$ are positive. For what value of $n$ is $U_n$ smallest?
How do I do this?
Well first, n = 0 for $U_n$ to be the lowest, because any negat... | 4 | [
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Newton's sums, necklace congruences, and zeta functions II
Newtonβs sums, necklace congruences, and zeta functions II
November 4, 2009 by Qiaochu Yuan
In a previous post I gave essentially the following definition: given a discrete dynamical system, i.e. a space $X$ and a function $f : X \to X$, and under the assumpt... | 4 | [
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Circular Circuitry
Copyright Β© University of Cambridge. All rights reserved.
All credit to Alex Bramham, for this excellent and complete solution;
Each wire can be either on or off. Wires that must be the same have been assigned the same variable. The variables are 1 when the wire is on, and 0 when off. Relationships... | 5 | [
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Converting between Radians and Degrees - help?
October 24th 2008, 01:57 PM #1
Junior Member
Joined
Oct 2008
Posts
28
Converting between Radians and Degrees - help?
Hello, I'm coming here because I need help understanding a few math concepts, and this looks like a friendly community
At the moment, I ... | 4 | [
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Quadratic twist of curve defined over finite field
up vote 8 down vote favorite
2
I was reading the paper on "curves of every genus with many points II" by: Elkies, Howe, et al. And some of the terms are not clear to me. Is there any elaborate exposition on these stuffs?
In particular I appreciate an explanation on t... | 4 | [
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Does the minima of a sequence of convex convergent functions converge?
up vote 2 down vote favorite
Suppose $f_1,f_2,\ldots $ is a sequence of convex functions that converges to a continuous convex $f$. Let $x_1^*,x_2^*$ be their respective (not necessarily unique) minima, and let y be a minima of
$f$ (once again need... | 5 | [
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Topic: find minimum of a function with abs and squares an... | 5 | [
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Probability of throwing two dice
January 24th 2010, 09:51 PM #1
Newbie
Joined
Jan 2010
Posts
10
Probability of throwing two dice
β‘ Consider throwing two dice
What is the probability an 8 will be rolled before a 7 is rolled?
What is the probability the player will either: roll a 7 or 11; or (i... | 5 | [
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Remainder problem
January 20th 2009, 01:31 AM #1
Senior Member
Joined
Jan 2009
Posts
381
Remainder problem
(1) A number when divided by a divisor leaves a remainder of 24 . When twice the original number isdivided by the same divisor , the remainder is 11. What is the value of the divisor ?
(2) Wh... | 4 | [
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