content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Groups becoming algebraic groups
up vote 6 down vote favorite
2
Let $G$ be an algebraic variety over an algebraically closed field $k$ (any characteristic). Suppose that: (1) the set of $k$-points has the structure of a group. (2) for any $g\in G$ the
right-multiplication by $g$ is a morphism of algebraic varieties $G... | 4 | [
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0.0... | 40,500 | 40500 | |
2007bai7380
The Key Role Penalty Played
C. Y. Huang＊
Department of Finance, National Sun Yat-sen University, 70 Lien-Hai Rd., Kaohsiung,
Taiwan (R.O.C). E-mail: zajihuang@gmail.com Tel: 886-937256585
... | 4 | [
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0.04101... | 40,501 | 40501 | |
A question on ultrapower
up vote 7 down vote favorite
Suppose $\kappa_0$ is a measurable cardinal and $\mu_0$ is a normal measure on $\kappa_0$. $M_1$ is the transitive collapse of $Ult(V,\mu_0)$, $j_{0,1}:V\rightarrow{M_1}$ is the elementary embedding
induced by the ultrapower. In $M_1$, $\kappa_1=j_{0,1}(\kappa_0)$ ... | 5 | [
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Cyclotomic polynomials coprime to a fixed polynomial
up vote 2 down vote favorite
Let $f \in \mathbb{Z}[x]$ be monic, irreducible and hyperbolic (no roots of absolute value $1$), and such that $f(0)= \pm 1$. Denoting as $c_{p}(x)$ the cyclotomic polynomial $$c_{p}(x)=1+x+\cdots +x
^{p-1},$$ my question is: how can be... | 4 | [
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Distance problem
October 14th 2007, 01:21 PM
vesperka
Distance problem
On a drive from your ranch to Austin, you
wish to average 48 mph. The distance from
your ranch to Austin is 78 miles. However,
at 39 miles (half way), you find you have
averaged only 36 mph.
What average speed must you mai... | 4 | [
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Airports
USC 3001: Complexity
AY 05/06 Semester 2
Project Report
Around the world in eighty flights:
Modeling the world-wide airport network
By: Tan Kai Xin, Grace and Tan Li Yuan
Instructor: Dr Rajesh Parwani
... | 4 | [
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How can I embed an N-points metric space to a hypercube with low distortion?
up vote 5 down vote favorite
1
I have a N-point metric space defined by the pairwise distance matrix. I want to encode these N points with binary strings, i.e. each point will be mapped to a vertex in a hypercube. The lengths of
the edges on ... | 4 | [
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... | 40,506 | 40506 | |
help with rearranging equation please
July 27th 2009, 10:39 PM
tommoturbo
help with rearranging equation please
hello there struggling to get this right in my head
i have an equation
Fr=1/2Pi sqrtLC and need to make Lc the subject
it is written as Fr equals 1 over 2pi times sqroot of LC (ie both 2... | 4 | [
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Evolutionarily stable strategy
Talk0
34,135pages on
this wiki
In game theory, an evolutionarily stable strategy (or ESS; also evolutionary stable strategy) is a strategy which if adopted by a population cannot be invaded by any competing alternative strategy.
The concept is an equilibrium refinement to a Nash equil... | 5 | [
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... | 40,508 | 40508 | |
Intergration Problem (Substitution I think)
January 10th 2010, 05:57 AM
jezzyjez
Intergration Problem (Substitution I think)
I have this integral i need to do in the middle of a engineering question and I have looked in a few directions at it and cant seem to crack it!
The integral is
$\int 4r/\sqrt{2-r... | 5 | [
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Conjugation of homogeneous spaces
up vote 5 down vote favorite
Let $X$ be a smooth irreducible algebraic variety over the field of complex numbers ${\mathbb{C}}$. Let $x\in X({\mathbb{C}})$. Let $\tau$ be an automorphism of ${\mathbb{C}}$ (not necessarily
continuous), and let $\tau X$ denote the $\tau$-conjugated ${\m... | 4 | [
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differential eq
March 21st 2007, 10:12 PM #1
Junior Member
Joined
Mar 2007
Posts
63
differential eq
(a) Find by inspection particular solutions of the two nonhomogeneous equations
y ′′ + 2y = 4 and y′′ + 2y = 6x
(b) find a particular solution of the differential equation
y′′ + 2y = 6x + 4.... | 5 | [
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0.00097274780273437... | 40,511 | 40511 | |
Find the value of the determinant
December 28th 2009, 09:20 PM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
Find the value of the determinant
Question : Find the value of the determinant
$D= \begin{vmatrix} x+a & b & c \\ a & x+b & c \\ a & b & x+c \end{vmatrix}$ Compute $\frac{dD}{dx} |_{... | 4 | [
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Math Forum Discussions
Re: Can addition be defined in terms of multiplication?
Posted: Aug 17, 2013 5:11 PM
On Fri, 16 Aug 2013, Shmuel (Seymour J.) Metz wrote:
> In <alpine.LNX.2.00.1308161806110.15401@badwlrz-clhri01.ws.lrz.de>, on
> 08/16/2013
> at 06:14 PM, Helmut Richter <hhr-m@web.de> said:
>
> >Given a multipl... | 4 | [
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Line problems.
May 1st 2006, 01:22 AM #1
Hey guys,
I need help to solve the following problems:
1) The line y - 2x + 3 = 0 intersects the curve y = x^2 - 2x at the point A and B. Find the co-ordinates of A and B.
2) Determine whether the points A(-4, 3) B(-1, 5) and C(8, 11) are collinear.
(In ... | 4 | [
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Speed of sphere center
January 2nd 2007, 04:17 AM #1
Member
Joined
Jul 2005
Posts
187
Speed of sphere center
Sphere begins to wheel along incline.
The height of incline is 1.00 meters.
What is the speed of sphere center at the end of incline ?
Equate the loss of potential energy of the spher... | 5 | [
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Trigonometric equations (2)
Find the general solution of: 5cot(3x + 4) = 1
Quote: Originally Posted by LilDragonfly Thus, $\cot (3x+4)=\frac{1}{5}$ Let, $y=3x+4$ Then, $\cot y=\frac{1}{5}$ which you find that, $y=\cot^{-1}(1/5)+\pi k$ Thus, $3x+4=\cot^{-1}(1/5)+\pi k$ Thus,
$x=\frac{1}{3}\cot^{-1}(1/5)+\frac{\pi k}{3}... | 5 | [
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Hexagon Sides, Length of a Beam
Date: 1 Feb 1995 20:27:58 -0500
From: Cheryl A. Backman
Subject: math q
Hi again. I am totally stumped on these two word problems. They are
driving me crazy! Here goes:
1. Determine the length of each side of a regular hexagon if opposite
sides are 18 in. apart.
2. A ... | 4 | [
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[SOLVED] Complex Proportions
February 9th 2009, 03:32 PM #1
Junior Member
Joined
Jan 2009
Posts
40
[SOLVED] Complex Proportions
M is jointly proportional to a, b, and c and inversely proportional to d. If a and d have the same value and if b and c are both 2, then M=128.
Express the statement as a fo... | 4 | [
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Length of Floer flow lines
up vote 2 down vote favorite
Suppose $(X,\omega)$ is a closed symplectic manifold. Let $H$ denote a time-dependent Hamiltonian, all of whose critical points are non-degenerate, and fix an $\omega$-compatible time dependent
family of almost complex structures.
Let $\mathcal{M}$ denote the se... | 4 | [
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Programmable_Logic_Devices_-_I
Programmable Logic Devices - I
Outline
Programmable Logic Devices
PN Diode Operation
AND Logic Arrays
OR Logic Arrays
Two-level AND-OR Arrays
Programmable Logic Array (PLA)
Realising Logic Functions with PLAs
Outline
Prog... | 4 | [
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0.00271... | 40,520 | 40520 | |
Inferring asymptotic behaviour from the dominant pole of the Laplace transform
up vote 7 down vote favorite
1
Hi,
I am reposting the following question with the hope that a more detailed description will lead to a more descriptive response:
dominant pole in the laplace transform
I have a vector function $X(t)=(X_1(... | 4 | [
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Algebraic characterisation of directed acyclic graphs
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Any characterization based on the adjacency matrix for directed acyclic graphs (DAG)? An undirected graph could be simply ... | 4 | [
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Derivative proof using sine and cosine
May 1st 2011, 04:09 AM
RezMan
Derivative proof using sine and cosine
Hi guys can you please help me with this problem:
If n is a positive integer, prove this derivative:
(sin^n)xcosnx = n(sin^n-1)xcos(n+1)x
how the heck do I do that?
May 1st 2011, 04:27 AM
... | 5 | [
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Inverting the Weyl Character Formula
up vote 7 down vote favorite
4
The Weyl Character formula tells us how to write the character of a representation as a linear combination of integral weights. Since characters are invariant under the action of the Weyl group, $W$,
we can write a character as a linear combination of... | 4 | [
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Pythagorean Triples
December 8th 2008, 07:05 PM #1
Junior Member
Joined
Sep 2008
Posts
46
Pythagorean Triples
Let x,y,z be a primitive Pythagorean Triple with y even.
a)Prove that exactly one of x and y is divisible by 3. (Hint: Proof by contradiction)
b)Prove that exactly one of x and y is div... | 4 | [
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0.0147... | 40,525 | 40525 | |
Oblique Triangular Prism
Find the volume of an oblique triangle prism whose base is an equilateral triangle whose side is 12cm. The lateral edge of the prism is equal to the side of the base and inclined to the base plane at
angle of 30 degrees.
Hello, reiward! Quote: Find the volume of an oblique triangular prism who... | 4 | [
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-0.... | 40,526 | 40526 | |
Can someone please correct my algebra here?
April 12th 2014, 02:01 PM #1
Newbie
Joined
Oct 2012
From
Germany
Posts
19
Can someone please correct my algebra here?
Nevermind, I found the error while editing this post! Good thing I shared this, sorry for the forum clutter! I don't know how to delete the... | 4 | [
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0.04345703125,
-0.01513671875,
0.041259765625,
-0.08349609375,
0.003646850585... | 40,527 | 40527 | |
PDF and CDF for normal distributions with R
Below, we give the R code to plot the PDF and the CDF for normal distributions. We wish to get charts quite similar to the ones read on Wikipedia (Normal Distribution). The resulting charts are shown
at the bottom.
Notice that we don’t resort to any specific R library. Also... | 4 | [
0.0118408203125,
-0.04052734375,
-0.00775146484375,
-0.04443359375,
0.0242919921875,
-0.057861328125,
-0.03759765625,
0.057373046875,
-0.01312255859375,
-0.0009613037109375,
0.0634765625,
-0.04345703125,
0.03857421875,
0.0274658203125,
0.00185394287109375,
-0.01080322265625,
-0.02685... | 40,528 | 40528 | |
calculation of ratio with random error
October 9th 2010, 09:27 PM #1
Member
Joined
Sep 2010
Posts
86
calculation of ratio with random error
I have trouble solving a problem assigned to us for class and I dont even know how to start. The problem goes as follows: We look at a guitar string and its frets (n... | 5 | [
-0.0634765625,
0.016357421875,
-0.04736328125,
-0.000774383544921875,
-0.040283203125,
-0.06591796875,
0.05810546875,
0.046875,
0.05615234375,
0.0306396484375,
0.03662109375,
-0.006988525390625,
0.0120849609375,
-0.041015625,
-0.091796875,
-0.042724609375,
0.003021240234375,
0.0058... | 40,529 | 40529 | |
Real Analysis: Limit of Sequence
October 19th 2010, 07:14 AM #1
Newbie
Joined
Oct 2010
Posts
5
Real Analysis: Limit of Sequence
There exists a sequence $(x_{n})$ such that $\lim_{n \longrightarrow \infty} x_{n} = x$ and there exists a sequence $(y_{n})$ of non-negative real numbers such that $\lim_{n \lo... | 5 | [
-0.14453125,
-0.06494140625,
0.01336669921875,
-0.03125,
0.009521484375,
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0.0191650390625,
-0.055908203125,
-0.03173828125,
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0.056640625,
0.005126953125,
-0.06005859375,
0.01544189453125,
0.01519775390625,
0.08056640625,
0.00390625,
-0.058349609375... | 40,530 | 40530 | |
Express F(x) as a definite integral
November 3rd 2013, 10:06 AM #1
Junior Member
Joined
Mar 2011
Posts
72
Express F(x) as a definite integral
Hi, my question is:
The function F(x) satisfies F'(x)=e^(-x^2) and F(0)=0. Express F(x) as a definite integral.
I'm really stuck on this question, so any... | 4 | [
0.01904296875,
0.0306396484375,
0.0693359375,
0.0308837890625,
0.05029296875,
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0.07177734375,
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0.0272216796875,
0.1103515625,
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0.0177001953125,
0.0281982421875,
-0.0223388671875,
0.04150390625,
-0.... | 40,531 | 40531 | |
Quadratic Inequalities
$8x <3x^2$ $8x-3x^2<0$ $x(8-3x)<0$ For the inequality to be negative either x<0 and 8-3x>0 or x>0 and 8-3x<0 Check when the factors changes signs. x is easy, its when it is smaller then zero. Like
this Factor/ -8/3 0 8/3 x: - 0 + 8-3x: this one you have to fill in yourself Then it is easy to see ... | 4 | [
0.06396484375,
0.02294921875,
0.00799560546875,
0.00738525390625,
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0.0272216796875,
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0.031494140625,
0.0198974609375,
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0.049560546875,
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0.064453125,
0.0595703125,
0.022705078125,
0.0203857421875,
0.0576171875,
-0.05664062... | 40,532 | 40532 | |
Linear & Matrix Transformations
December 20th 2012, 12:41 PM
zhandele
Linear & Matrix Transformations
I am beginning to learn about linear transformations and matrix-vector products, both vast subjects.
I have three questions that I have never found addressed, and I hope somebody out there can tell me or po... | 5 | [
-0.0986328125,
-0.0830078125,
-0.11181640625,
-0.044921875,
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0.06005859375,
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-0.09228515625,
0.05908203125,
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0.02880859375,
0.0155029296875,
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0.0439453125,
-0.0245361328125,
0.0125732421875,
-0.058837890625,
0.12890625,... | 40,533 | 40533 | |
Percentage of Grades
January 4th 2009, 12:42 PM
magentarita
Percentage of Grades
On a standardized test with a normal distribution, the mean is 88. If the standard deviation is 4, the percentage of grades that would be expected to lie between 80 and 96 is closest to:
(1) 5 (3) 68
(2) 34 (4) 95
I'm ... | 4 | [
0.07421875,
0.103515625,
-0.04248046875,
0.029052734375,
-0.07177734375,
0.0030517578125,
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0.140625,
-0.07666015625,
0.0252685546875,
0.056396484375,
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0.064453125,
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0.0294189453125,
-0.046142578125,
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0.014404296875,
... | 40,534 | 40534 | |
Problem Inside
December 6th 2007, 05:48 AM
ForgottenMemorie
Problem Inside
Hello People. Im new hence the 1 post.
I have a problem, i recived some questions that i carnt work out, ive read books but cannot get it.
Here are so examples of problems:
Multipy:
A: (3x+3)(9x-2)
2 2
B: (x ... | 4 | [
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0.017333984375,
0.07373046875,
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0.0106201171875,
0.004364013671875,
-0.03173828125,
0.012451171875,
0.028564453125,
-0.06884765625,
0.055908203125,
-0.004058837890625,
-0.01123046875,
0.039306640625,
-0.1181640625,
... | 40,535 | 40535 | |
Minimal model which is necessarily singular
up vote 9 down vote favorite
I was told during a summer school on the MMP a nice example (which I have also mentioned here on MO) that I'm not able to figure out anymore.
The example (due, I think, to Miles Reid) is a smooth compact threefold $X$ such that the number of sec... | 5 | [
0.04345703125,
-0.049560546875,
0.047607421875,
0.004150390625,
0.044921875,
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0.00830078125,
0.0250244140625,
0.004638671875,
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0.154296875,
-0.028564453125,
-0.03271484375,
0.048583984375,
0.04248046875,
0.09619140625,
-0.00396728515625,
0.020629882... | 40,536 | 40536 | |
Simpsons Diversity Index
Simpson's Diversity Index is a measure of diversity. In ecology, it is often used to quantify the biodiversity of a habitat. It takes into account the number of species present, as well as the
abundance of each species.
The Index of Diversity which AS/A2 level students in the UK need to unders... | 4 | [
0.0791015625,
-0.03564453125,
-0.0235595703125,
-0.0032196044921875,
0.033447265625,
0.0986328125,
-0.00341796875,
-0.026123046875,
-0.013427734375,
-0.00775146484375,
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-0.126953125,
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0.025390625,
-0.08984375,
0.01434326171875,
-0.01446533203125,
-0.0... | 40,537 | 40537 | |
Conservapedia
Real analysis
From Conservapedia
$\frac{d}{dx} \sin x=?\,$ This article/section deals with mathematical concepts appropriate for a student in late high school or early university.
Real analysis is a field in mathematics that focuses on the set of real numbers, their properties, sequences and functions... | 4 | [
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0.01031494140625,
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0.0155029296875,
0.014404296875,
0.0439453125,
0.009765625,
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0.042236328125,
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-0.064453125,
0.00064849853515625,
-0.0... | 40,538 | 40538 | |
nasty integral
which is the integral for exp( -a/x ) dx ? i have tried every method thanks
Quote: Originally Posted by v71 That's because the indefinite form is...ugly. I don't think it has a closed form. If this is supposed to be a definite integral, though, you may be able to calculate
an exact value. -Dan
Topsquar... | 5 | [
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0.04296875,
0.033447265625,
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0.043212890625,
0.0439453125,
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0.055419921875,
-0.01806640625,
0.022705078125,
0.08447265625,
-0.017578125,
... | 40,539 | 40539 | |
Counting points on lattices
up vote 11 down vote favorite
2
I expect that the following is a standard problem from analytic number theory, but I don't know where exactly to look for an answer.
Let f: ℤ^r→ H be a surjective homomorphism into a finite group. Let
$S(N)= \frac{1}{N^r}\#\{(x_1,\dots,x_r)\in \ker f\colon ... | 4 | [
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0.02001953125,
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0.01458740234375,
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0.0712890625,
-0.060546875,
-0.0732421875,
-0.036376953125,
0.032958984375,
-0.0256347656... | 40,540 | 40540 | |
Numeric Systems Home Page
INDEX
A. What are numeric systems?
Glad you asked. A numeric system is a set of characters and mathematical rules that are used to represent a number.
Ancient Numeric Systems
These numeric systems gave birth to our own. Some examples are the Roman numeric system (you know, Roman Numerals)... | 4 | [
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-0.1298828125,
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0.1103515625,
0.08154296875,
0.04931640625,
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0.07177734375,
0.0303955078125,
-0.022705078125,
-0.1171875,
-0.1142578125,
0.0522... | 40,541 | 40541 | |
A technical question about derivations of sheaves on group schemes
up vote 4 down vote favorite
Let $G$ be a group scheme (for instance, over $k$ a field of characteristic 0). Let $e$ be its unit. I denote by $O_G$ the structural sheaf of $G$.
Let $D_e : O_{G,e} \to k$ a derivation.
I would like to get directly (ie,... | 5 | [
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0.06201171875,
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0.02294921875,
0.078125,
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0.0089111328125,
0.01361083984375,
0.036865234375,
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0.0286865234375,
0.0213623046875,
0.0157470703125,
0.1025390625,... | 40,542 | 40542 | |
ati
Everyone has seen the classic "scratch spin" in figure skating, where the skater draws her arms and a leg in and speeds up tremendously. This is the result of conservation of angular momentum: as the
skater reduces her rotational inertia by pulling her arms and leg in, her rotation speed must increase to maintain c... | 4 | [
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-0.035400390625,
0.045654296875,
0.0244140625,
0.02587890625,
0.0517578125,
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-0.00775146484375,
-0.054931640625,
0.033935546875,
0.03369140625,
0.0893554687... | 40,543 | 40543 | |
The duel problem
up vote 9 down vote favorite
1
The following duel problem is due to Ben Polak (maybe there's earlier origin, which I'll be glad to be informed about). The rule is as follows:
Two players 1 and 2 start a duel $N$ steps away from each other. They take turns to act. When it's somebody's turn, he must ma... | 5 | [
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0.0224609375,
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0.0052490234375,
0.03466796875,
0.025390625,
0.0263671875,
0.032714843... | 40,544 | 40544 | |
Particle problem
August 31st 2009, 07:41 AM #1
Junior Member
Joined
Mar 2009
Posts
41
Particle problem
The position of a particle moving along an x axis is given by x = 14.0t2 - 6.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration
of... | 4 | [
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0.07080078125,
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0.0208740234375,
0.04248046875,
0.01080322... | 40,545 | 40545 | |
algebra equations
March 17th 2009, 05:46 PM #1
Newbie
Joined
Mar 2009
Posts
5
algebra equations
After completing 5 of these problems tonight, this one has me stumped!
In a recent year, companies spent a total of $84.8 billion on newspaper, television, and radio ads. The total amount spent on televis... | 4 | [
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0.09228515625,
0.02880859375,
-0.004425048828125,
-0.041259765625,
-0.0284... | 40,546 | 40546 | |
Differential forms on an almost complex manifold
up vote 7 down vote favorite
7
Hello!
Let $M$ be an almost complex manifold. Let $TM$ denote its tangent bundle. Then we have the decomposition $TM\otimes\mathbb{C}=T^{1,0}M\oplus T^{0,1}M$ corresponding to the eigenvalues of the almost
complex structure. This decompos... | 4 | [
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0.045654296875,
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0.036865234375,
0.0220947265625,
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0.0012969970703125,
0.11572265625,
0.0849609375,
0.0703125,
-0.06201171875,
... | 40,547 | 40547 | |
Bound for the number of rational points on the modular curve
up vote 4 down vote favorite
2
By Mazur's theorems (Reference:- Modular curves and the Eisenstein ideal, 1977), we know that the only rational points of X_0(N) for N any prime > 163 are the two cusps (o) and (oo) (|X_0(N)(Q)| = 2
).
Is there any bound for |... | 5 | [
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-0.005615234375,
-0.048583984375,
-0.066... | 40,548 | 40548 | |
Sheffer stoke help please
August 2nd 2011, 11:33 AM #1
Newbie
Joined
Aug 2011
Posts
3
Sheffer stoke help please
got stuck on the second part of this question.
show that
P Λ Q ≡ (P l Q)l(P l Q)
≡ ~((P l Q)Λ(P l Q))
≡~ (P l Q)
≡ ~(~(P l Q)
≡ P Λ Q
use part 1 as example to writ... | 4 | [
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0.166015625,
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-0.12353515625,
-0.0395507... | 40,549 | 40549 | |
Analyzing a Prescription for the Correct Dose
Date: 04/27/2005 at 12:24:46
From: Alicia
Subject: Converting tsp. to ml
1 Tsp of Proventil syrup is ordered three times a day for a 5 year old
child with asthma. It is supplied as 2mg/5ml.
How much Proventil is he getting per dose?
A safe starting dose is 0.1 mg/kg (o... | 4 | [
0.0123291015625,
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0.0113525390625... | 40,550 | 40550 | |
Questions on calculating volume using n-1 forms
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is there an n-1 form on $R^n$ which calculates the volume of n-manifolds? Similarly, is there such a 1 form on $S^2$, and $RP^2$... | 5 | [
-0.041748046875,
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0.044677734375,
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0.078125,
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0.01361083984375,
0.01043701171875,
-0.03076171875,
-0.02783203125,
0.064... | 40,551 | 40551 | |
Homotopy type of the complement to a subvariety of $\mathbb C^n$
up vote 6 down vote favorite
1
Let $V^k\subset \mathbb C^n$ be a sub variety, such that all its irreducible components have dimension $\ge k$. Is it true that $\mathbb C^n\setminus V^k$ has homotopy type of a CW complex of
dimension $\le 2n-k-1$?
Commen... | 5 | [
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0.0111083984375,
0.001953125,
0.026855... | 40,552 | 40552 | |
Complex number problem!
August 12th 2010, 04:50 AM #1
Junior Member
Joined
Oct 2008
Posts
41
Complex number problem!
Find $Re(z)$ and $Im(z)$ if:
$z=\sqrt[3]{ \frac{2}{-\sqrt{2+i\sqrt{2}}}}$
My idea was to simplify the expression to the normal form $x+iy$ (The problem is that i don't know how).... | 5 | [
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0.07958984375,
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0.005401611328125,
-0.0966796875,
0.06884765625,... | 40,553 | 40553 | |
K-theory of monoidal categories
up vote 4 down vote favorite
1
I am novice in the algebraic K- theory and don' t know if this is the right place for the following questions. So some people might consider them as basic questions.
Consider an exact monoidal category and its K- groups as introduced by Quillen.
Do $K_n(... | 4 | [
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0.031005859375,
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0.026611328... | 40,554 | 40554 | |
[SciPy-User] Integration over Voronoi cells
Eraldo Pomponi eraldo.pomponi@gmail....
Thu Nov 24 08:46:30 CST 2011
Dear Friedrich,
First of all let me thank you for your suggestions. It took a little bit to
get into them
but I still have some BIG doubts.
> Well, AISI, your function is radially symmetric, so the inte... | 5 | [
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0.002655029296875,
0.047607421875,
-0.0164794921875,
-0.00201416015625,
-0.006988525390625,
-0.07275390625,
0.0205... | 40,555 | 40555 | |
Identifying poisoned wines
up vote 40 down vote favorite
21
The standard version of this puzzle is as follows: you have $1000$ bottles of wine, one of which is poisoned. You also have a supply of rats (say). You want to determine which bottle is the poisoned
one by feeding the wines to the rats. The poisoned wine take... | 5 | [
0.0517578125,
0.0458984375,
-0.045654296875,
0.0123291015625,
0.046875,
-0.0181884765625,
0.01263427734375,
0.02783203125,
-0.0133056640625,
-0.0299072265625,
-0.04345703125,
-0.00628662109375,
-0.006500244140625,
0.123046875,
-0.0546875,
-0.01708984375,
0.059326171875,
-0.00805664... | 40,556 | 40556 | |
Derivative of an integral
September 9th 2009, 10:07 AM #1
Newbie
Joined
Sep 2009
Posts
2
Derivative of an integral
Just having some trouble with this last problem of mine, its the derivative of the integral (u+5)/(u-8) from 9x to 3x
thats where my confusion comes from, I'm not sure how to incorporat... | 5 | [
-0.0537109375,
-0.0028228759765625,
0.0927734375,
-0.06494140625,
0.02099609375,
0.06787109375,
-0.00726318359375,
-0.015625,
-0.032470703125,
0.04638671875,
0.06591796875,
-0.05224609375,
-0.00830078125,
0.0306396484375,
-0.04345703125,
-0.012939453125,
-0.0123291015625,
0.0147705... | 40,557 | 40557 | |
Matrix Conjugates over Finite Fields
up vote 1 down vote favorite
Thinking about Diffe-Hillman for matrices brought me to the following question.
Given $\mathbb{F}_{p^k}$ the finite field with $p^k$ elements when can we find non-trivial solutions to
$$$AQ^rA^{-1}=BQ^sB^-1$$$
for $A,B,Q\in Mat_n(\mathbb{F}_{p^k})$ a... | 4 | [
-0.048095703125,
0.0103759765625,
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0.052001953125,
0.010498046875,
0.0006561279296875,
0.052490234375,
-0.0849609375,
0.034423828125,
-0.0166015625,
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0.11376953125,
0.0242919921875,
0.05322265625,
-0.00543212890625,
0.056884765625,
-0.0284423828125,
0... | 40,558 | 40558 | |
Options Options the basics Readings for
Options: the basics
Readings for Options
• Forget about the textbook. Use online free sources and
the lecture notes as your main reference
• Most of the lecture materials are drawn from Chicago
Broad of Options Exchange l... | 4 | [
0.046875,
-0.06396484375,
-0.034912109375,
0.06884765625,
-0.03955078125,
0.04833984375,
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0.060302734375,
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0.01171875,
-0.033447265625,
-0.036865234375,
-0.052978515625,
... | 40,559 | 40559 | |
Combinatorics
October 6th 2011, 01:28 AM #1
Newbie
Joined
Apr 2008
Posts
21
Combinatorics
I'm trying to prepare for a course in discreet mathematics I'll have the next semester so I got a bunch of questions from a friend to help me. So far I've gone trough logic and sets. With this
problems presented... | 4 | [
-0.05322265625,
0.08642578125,
0.037109375,
0.0003604888916015625,
0.0081787109375,
0.0252685546875,
0.11181640625,
0.017822265625,
-0.0576171875,
0.053955078125,
0.0869140625,
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0.09033203125,
0.0966796875,
-0.0546875,
0.1376953125,
-0.0137939453125,
-0.0625,
... | 40,560 | 40560 | |
An easy way to to explain the equivalence definitions of tangent spaces?
up vote 8 down vote favorite
7
In a short talk, I had to explain, to an audience with little knowledge in geometry or algebra, the three different ways one can define the tangent space $T_x M$ of a smooth manifold $M$ at a point
$x \in M$ and mor... | 4 | [
-0.1005859375,
-0.06103515625,
0.06591796875,
-0.050537109375,
0.0096435546875,
0.0225830078125,
0.07666015625,
0.062255859375,
0.02490234375,
-0.003509521484375,
0.047119140625,
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-0.039306640625,
0.0291748046875,
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0.0015411376953125,
... | 40,561 | 40561 | |
When to Add, When to Multiply?
Date: 10/30/2001 at 16:23:25
From: Aliza
Subject: Probability
I am studying probability at high school. When do you add and when
multiply to compute probability?
Date: 10/31/2001 at 06:59:39
From: Doctor Mitteldorf
Subject: Re: Probability
Dear Aliza,
You're looking for rules that ... | 4 | [
0.00567626953125,
0.028564453125,
-0.01251220703125,
-0.049072265625,
-0.012939453125,
-0.052978515625,
-0.01263427734375,
0.05224609375,
0.07763671875,
-0.005645751953125,
0.04052734375,
-0.051025390625,
0.03857421875,
0.033935546875,
0.009033203125,
0.029541015625,
-0.036376953125,... | 40,562 | 40562 | |
Question on consecutive integers with similar prime factorizations
up vote 16 down vote favorite
7
Suppose that $n=\prod_{i=1}^{k} p_i^{e_i}$ and $m=\prod_{i=1}^{l} q_i^{f_i}$ are prime factorizations of two positive integers $n$ and $m$, with the primes permuted so that $e_1 \le e_2 \cdots \le
e_k$, and $f_1 \le f_2 ... | 4 | [
-0.005645751953125,
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0.0303955078125,
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0.059326171875,
-0.0308837890625,
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0.08935546875,
-0.004425048828125,
0.051513671875,
0.031982421875,
-0.00650024414062... | 40,563 | 40563 | |
Inverse of a matrix with binomial coefficients
up vote 6 down vote favorite
1
Let $a(n,k)=(-1)^k {{2n-k}\choose k}$ for $0 \le k \le n$ and $a(n,k)=0$ else. Then it is known (cf. OEIS A005439 and A098435) that the first column of the inverse matrix of $(a(i,j))_{i,j\ge0}$ is
the sequence $1,1,2,8,56,608,9440,…$ of med... | 4 | [
-0.048583984375,
-0.03857421875,
-0.046875,
-0.0179443359375,
-0.058837890625,
0.000865936279296875,
0.00860595703125,
0.0024566650390625,
0.01123046875,
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0.0006866455078125,
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-0.031005859375,
-0.060791015625,
-0.0712890625,
0.10693359375,
0.04... | 40,564 | 40564 | |
Average over Random Permutations
up vote 9 down vote favorite
3
Consider $S_{n}$ the symmetric group and for each $\sigma\in S_{n}$ let $U_{\sigma}$ be its $n\times n$ permutation matrix. Let $A$ be an Hermitian $n\times n$ matrix. I'm interested in computing the
average $$ \mathbb{E}(A):=\sum_{\sigma \in S_{n}}{w(\si... | 5 | [
-0.05419921875,
-0.052734375,
-0.005157470703125,
0.0274658203125,
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0.046142578125,
-0.0791015625,
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0.05908203125,
0.04052734375,
0.016479... | 40,565 | 40565 | |
Metric Prefix Use of formulae to solve problems Please Help
October 8th 2008, 01:05 AM #1
Newbie
Joined
Oct 2008
Posts
2
Can someone please help me, what are the answers to these problems Ive added the link to a picture with some questions that I cant answer.
http://i38.tinypic.com/5bw8hv.jpg
1.... | 4 | [
0.046142578125,
0.0888671875,
0.00732421875,
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0.0031280517578125,
-0.04541015625,
0.0771484375,
0.01043701171875,
0.04248046875,
0.06982421875,
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0.045166015625,
-0.0213623046875,
0.059326171875,
0.046630859375,
0.010... | 40,566 | 40566 | |
Tricky Continuity Question
May 30th 2007, 12:01 PM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Tricky Continuity Question
If I ever teach a class on real analysis I be sure to put this question on the exam.
TRUE/FALSE
-------------
A function $f$ is c... | 4 | [
-0.07958984375,
-0.0081787109375,
-0.046875,
0.020751953125,
0.043212890625,
0.09326171875,
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0.01361083984375,
-0.054931640625,
0.030029296875,
0.087890625,
0.0169677734375,
-0.0184326171875,
0.00848388671875,
0.032470703125,
0.07275390625,
-0.01177978515625,
-0.0018539... | 40,567 | 40567 | |
Primitive Root of odd prime p
Let $p\equiv 1 \mod{4} \text{ and } k\mid p-1$ be even. Then $(-g)^k = g^k ot\equiv 1 \mod{p}$ since $g$ is a primitive root. If $k\mid p-1$ is odd, then $(-g)^k = -g^k$, but $g^k ot\equiv -1 \mod{p}
$ for this would mean $g^{2k} \equiv 1 \mod{p}$ which we know to be false since $2k < p-1$... | 4 | [
0.0084228515625,
0.01123046875,
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0.0203857421875,
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0.06640625,
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0.057373046875,
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0.042236328125,
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0.01043701171875,
-0.04931640625,
-0.01434326171875,
-0.004180908203125,
0... | 40,568 | 40568 | |
Fundamental domain for subgroup of fuchsian Schottky group.
up vote 0 down vote favorite
Let G be a Fuchsian Schottky group defined by a possibly infinite set of disjoint halfplanes {C_i}_i. Let F be the fundamental domain obtained by intersecting the complements of the C_i's. If H i a
subgroup of G then: Can a fundam... | 4 | [
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-0.0576171875,
... | 40,569 | 40569 | |
Use of chain rule for two variables
February 13th 2011, 06:23 AM #1
Member
Joined
Aug 2010
Posts
77
Use of chain rule for two variables
Let $\underline{g}:\mathbb{R}^2 \rightarrow \mathbb{R}^2$ be defined by $\underline{g}(x,y)=(x^2-y^2, 2xy)$.
Let $f:\mathbb{R}^2 \rightarrow \mathbb{R}$ be defined b... | 5 | [
0.01141357421875,
0.0023193359375,
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0.0189208984375,
-0.0106201171875,
-0.02... | 40,570 | 40570 | |
Trigonometric Formulars
March 18th 2006, 12:18 PM #1
Junior Member
Joined
Feb 2006
Posts
29
Trigonometric Formulars
Have I got this right or have I failed miserably as usual
Given that $<br /> 0<\theta<\frac{1}{2}pi<br />$
and $<br /> sin (\theta)= \frac{1}{4}<br />$
using appropriate trig... | 4 | [
-0.041259765625,
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0.04248046875,
0.033935546875,
-0.026611328... | 40,571 | 40571 | |
What is a Lagrangian submanifold intuitively?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
What are good ways to think about Lagrangian submanifolds?
Why should one care about them?
up... | 4 | [
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0.029296875,
0.00830078125,
-0.0191650390625,
-0.0264892... | 40,572 | 40572 | |
Is a given function a homomorphism?
October 7th 2013, 06:47 PM
abscissa
Is a given function a homomorphism?
I have a question that I have approached, but want to check if I'm on the right track.
Let G denote the group of symmetries of a circle. There are infinitely many reflections and rotations. There are ... | 5 | [
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-0.0260009765625,
-0.01416015625,
0.029296875,
0.0157470703125,
-0.053466796875... | 40,573 | 40573 | |
A question on linearly lindelof space
up vote 0 down vote favorite
Let $X$ is a linearly lindelof subspace of $Z$ and $b$ is not $\omega$-separated from $X$, i.e., for any closed $G_\delta$ set $P$ of $Z$ which contains $b$, $P\cap X \not=\emptyset$. If $\tau < \
aleph_\omega$, how to show that $b$ is not $\tau$-separ... | 5 | [
-0.0017547607421875,
-0.04248046875,
0.0174560546875,
0.00286865234375,
0.0791015625,
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0.125,
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0.02490234375,
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0.00006103515625,
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0.00750732421875,
0.0771484375,
-0.0023345947265625,
-0.003509521484375,
... | 40,574 | 40574 | |
Quantitative & Symbolic Reasoning
Central Washington University Quantitative and Symbolic Reasoning Skills and Sample Items
Quantitative and symbolic information may be displayed visually in graphs or charts or in numerical form using whole numbers, fractions, decimals, percentages, or time units (hours and minutes).
... | 4 | [
0.11279296875,
0.040283203125,
0.0267333984375,
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0.0014190673828125,
0.042724609375,
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0.06884765625,
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0.0732421875,
0.0908203125,
0.0390625,
0.03076171875,
0.0103759765625,
0.013305664062... | 40,575 | 40575 | |
Solve for $A$ and $B$ in $AXB=Y$
up vote 5 down vote favorite
Let $R = \mathbb{Z}[x_{1}, \dots, x_{r}]$. Let $X$ be $n \times n$ matrix with entries in $R$. Let $Y$ be $m \times m$ matrix with entries in $R$ formed from $\mathbb{Z}$-linear or $\mathbb{R}
$-linear combinations of entries in $X$. Let $m \ge n$ and $r \g... | 5 | [
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-0.02734375,
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-0.001434326171875,
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-0.06640625,
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0.006500244140625,
0.0712890625,
0.052734375,
0.039306640625,
0.046875,
0.1318359375,
0.041748046875,
0.0390625,
-0.0043334960... | 40,576 | 40576 | |
Re: This is strange, recurrence can capture regular function.
On Apr 20, 11:10 pm, Robert Israel <isr...@xxxxxxxxxxx> wrote:
On Apr 20, 12:45 am, "dillog...@xxxxxxxxx" <dillog...@xxxxxxxxx>
wrote:
hi
This is rather strange. Well, for people who already know this, it's
probably no... | 4 | [
-0.11181640625,
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0.03076171875,
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0.026611328125,
-0.06787109375,
-0.031494140625,
-0.0673828125,
... | 40,577 | 40577 | |
[SOLVED] Rotation?
May 19th 2009, 09:26 AM
fardeen_gen
[SOLVED] Rotation?
A man of mass 80 kg mass is standing on the rim of a circular platform rotating about its axis. The platform with the man on it rotates at 12 r.p.m. How will the system rotate, if the man moves
to the platform's centre? What work will ... | 5 | [
0.035888671875,
0.0849609375,
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-0.00408935546875,
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0.01470947265625,
0.055908203125,
-0.0150146484375,
0.07568359375,
0.08544921875,
0.099609375,
-0.0081787109375,
-0.00830078125,
-0.0439453125,
0.05859375,
-0.049560546875,
0.10498046875... | 40,578 | 40578 | |
Riemann -Stieltjes integral
August 13th 2009, 03:08 PM #1
Member
Joined
Dec 2008
Posts
154
Riemann -Stieltjes integral
Let $h(x)=x+[x]-\frac{1}{2}$ if $x$ is not in $Z$ and $h(x)=0$ if $x \in Z$.
Find the value of $\int_1 ^n log(x)dh(x)$.
Integral
This is what i got so far. i am not sure if thi... | 5 | [
-0.0205078125,
-0.000583648681640625,
0.07666015625,
-0.060791015625,
0.0294189453125,
-0.12158203125,
0.049072265625,
0.035400390625,
-0.045654296875,
-0.07666015625,
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-0.08056640625,
0.01422119140625,
-0.06396484375,
-0.00154876708984375,
-0.015625,
0.006103515625,
... | 40,579 | 40579 | |
1. Consider An RLC Circuit With R = 5 Ohms, L= ... | Chegg.com
need matlab code and picture of graph
1. Consider an RLC circuit with R = 5 Ohms, L= ½ H, C= 2/9 F and input voltage e(t) = exp(-t/2) a. Starting from KVL show that the DE for the voltage across R is given by: v'' + 10 v' + 9 v = -5 exp
(-0.5 t) b. Find vc... | 4 | [
-0.09033203125,
0.0361328125,
0.01104736328125,
-0.04931640625,
0.033447265625,
-0.01507568359375,
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0.1044921875,
0.01348876953125,
0.050537109375,
0.0888671875,
-0.06787109375,
0.04541015625,
0.05419921875,
0.0096435546875,
-0.01806640625,
-0.0615234375,
-0.050292... | 40,580 | 40580 | |
Psychophysical Analysis
Louis L. Thurstone
The purpose of this paper' is to present a new point of view in psychophysics and to trace some of its implications. In the determination of a difference limen, the psychophysical judgment, no matter
which of the classical methods is followed, is traditionally considered to ... | 4 | [
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-0.021484375,
0.0244140625,
0.09814453125,
-0.02978515625,
0.0093994140625,
-0.06005859375,
0.038330078125,
0.0086669921875,
0.034423828125,
-0.04443359375,
0.1015625,
0.003936... | 40,581 | 40581 | |
Decimal to fraction (simplest form)
April 30th 2007, 11:15 AM #1
Decimal to fraction (simplest form)
Hi
How do I write 0.421 as a fraction in its simplest form. There are two dots over the 2 and the 1.
Thanks
I've never heard of this notation. Are you sure it isn't supposed to be a bar over both th... | 4 | [
-0.019775390625,
0.035400390625,
0.0703125,
0.0184326171875,
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0.115234375,
0.044921875,
0.01129150390625,
0.0034637451171875,
-0.130859375,
0.0693359375,
0.0277099609375,
-0.03955078125,
0.01092529296875,
-0.059814453125,
-0.006378173828... | 40,582 | 40582 | |
volume of parallelepiped w/ adjacent edges
February 23rd 2009, 11:29 PM #1
Senior Member
Joined
Jan 2007
Posts
477
volume of parallelepiped w/ adjacent edges
P(2, 0, -1), Q(4, 1, 0), R(3, -1, 1), S(2, -2, 2)
must find the volume of the parallelepiped with adjacent edges PQ PR and PS.
I tried se... | 4 | [
0.00543212890625,
0.037109375,
-0.060791015625,
-0.119140625,
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0.0181884765625,
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0.037109375,
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0.07861328125,
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-0.0162353515625,
-0.02416992187... | 40,583 | 40583 | |
Math Help
why does $-3 cot^{-1} \frac{3}{\sqrt{x^2-9}} = 3 tan^{-1} \frac{3}{\sqrt{x^2-9}}$ ??
I get their difference is \begin{align*}&\frac{3\pi}{2} \;\; \{x: \left|x\right| < 3 \} \\ \\ &\frac{-3\pi}{2} \;\; \{x: \left|x \right| \geq 3 \} \end{align} so I wouldn't call them equal. Why do
you think they are?
becau... | 5 | [
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0.051513671875,
-0.039... | 40,584 | 40584 | |
What fraction of the integer lattice can be seen from the origin?
up vote 34 down vote favorite
10
Consider the integer lattice points in the positive quadrant $Q$ of $\mathbb{Z}^2$. Say that a point $(x,y)$ of $Q$ is visible from the origin if the segment from $(0,0)$ to $(x,y) \in Q$ passes
through no other point of... | 5 | [
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0.083984375,
-0.06884765625,... | 40,585 | 40585 | |
Euler’s Solution to the Basel ProblemEuler's Solution to the Basel Problem
I’m in the mood for some math today, so here’s an amusing little proof I recently showed to my History of Mathematics class. We shall derive the formula
... | 5 | [
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0.0004997253... | 40,586 | 40586 | |
Maximums through an unknown function
March 28th 2009, 05:19 AM
mon.
Maximums through an unknown function
Hi. I have a very long question which has 2 parts... I've worked out part 1 but part 2 is giving me problems.
Task 1
Imagine that you are the pilot of a light aircraft which is capable of cruising a... | 5 | [
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0.0098876953125,
0.030517578125,
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0.1455078125,
0.0220947265625,
-0.02722167968... | 40,587 | 40587 | |
Help with Kunen and recursion on wellfounded sets.
November 2nd 2010, 03:51 AM #1
Junior Member
Joined
Jul 2010
Posts
28
Help with Kunen and recursion on wellfounded sets.
Hi everyone,
I'm a bit stuck on the proof (page 103-4 in Kunen's Set theory and independence book) of the existence of a functio... | 4 | [
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-0.0233154296875,
0.06298828125,
0.0380859375,
0.013671875,
0.0393066406... | 40,588 | 40588 | |
vectors: HELP!!!!!
February 18th 2008, 03:12 PM #1
Member
Joined
Jul 2007
Posts
75
I am soooo CONFUSED!
1. An airplane is flying in the direction South 32 degrees East (S32E) with an airspeed of 860 kilometers per hour. Because of the wind, its groundspeed and direction are respectively 800
kilom... | 5 | [
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... | 40,589 | 40589 | |
pH calculation questions - finding pKa of a weak acid
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0.1 M solution of weak acid has pH=4.0. Calculate pK[a].
If pH=4.0 then [H^+]=10^-4 - that means that... | 4 | [
0.017822265625,
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-0.048828125,
-0.010253906... | 40,590 | 40590 | |
Hall polynomial when the subgroup is cyclic?
up vote 4 down vote favorite
2
Does anyone know the formula for a Hall polynomial $g_{u,v}^{\lambda}(p)$ when $v$ is the type of cyclic subgroup (ie. $v=(v_{1})$ ) . http://en.wikipedia.org/wiki/Hall_algebra
I was hoping this particular case would be simple enough to desc... | 5 | [
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-0.05639648... | 40,591 | 40591 | |
Combinatorics
December 2nd 2008, 11:37 AM
Carrick
Combinatorics
An octagon has 8 sides. How many diagonals does an octagon have?
Little confused with this question. . can anyone help?
Thanks
December 2nd 2008, 11:56 AM
vincisonfire
Let's take one vertex. It can be linked to 7 other vertices.
... | 4 | [
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Statistics power function problem
April 9th 2010, 07:36 PM
bryandn
Statistics power function problem
Here's the problem, I'm stuck:
Consider the distributions N(mu1, 400) and N(mu2, 225). Let theta = mu1-mu2 and x and y be the observed means of two independent random samples, each of size n, from these two ... | 5 | [
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-0... | 40,593 | 40593 | |
Proving an inequality (Area under graph)
June 30th 2009, 10:07 PM #1
Member
Joined
Oct 2006
Posts
185
Thanks
1
Proving an inequality (Area under graph)
Given that $y=\frac{1}{x^2}$, where $x>0$.
By considering the area under the curve and the areas of rectangles, for $n \le x \le n+1$, where $n \... | 5 | [
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0.107421875,
-0.0693359... | 40,594 | 40594 | |
partial fraction integration
February 26th 2011, 04:26 PM #1
Junior Member
Joined
Jan 2010
Posts
62
partial fraction integration
(x+1) / [x(x²+1)]
i worked it out and got.....
ln|x|-(1/2)ln|x²+1| + c
is this right or wrong? my book has something to do with arctan in it!? i dont see how!
... | 5 | [
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Introduction To Entropy
The two most common general types of abstract data are
numeric
data and
class
data. Basic summaries of numeric data, like the mean and standard deviation are so common that they have even been encapsulated as functions in spreadsheet software.
Class (or
categorical
) data is also very com... | 4 | [
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complex number plane
(a+bi)^2=i What is the squareroot of i solve geometrically in a complex number plane
I do not really understand how do you get to that?
One method: \displaystyle \begin{align*} (a + b\,i)^2 &= i \\ a^2 - b^2 + 2ab\,i &= 0 + 1i \\ a^2 - b^2 = 0 \textrm{ and } 2ab &= 1 \end{align*} From the second ... | 4 | [
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-0.06... | 40,597 | 40597 | |
Math Help
January 18th 2009, 08:20 PM #1
Member
Joined
Jan 2009
Posts
91
integration
integrate the following using trigonometric identities and/or substitutions:
x^2 + 1 / sqrt (9 - x^2) dx
x^3 / sqrt (x^2 + 4) dx
(tan x)^5 * (sec x)^6 dx
(cos x)^5 / sqrt (sin x) dx
with the fi... | 5 | [
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0.0262451... | 40,598 | 40598 | |
dy
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xEnOnn Group Title
A population of normall... | 5 | [
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