content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Lock Anti-Phase Drive
Introduction
In the previous post of the series, I’ve talked about sign-magnitude drive. This article will put the other main drive-mode, the lock anti-phase drive under the microscope. Just as before, if you’re
not familiar with H-bridges in general, please read the introductory part of series ... | 4 | [
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Homework Help
Posted by ty on Thursday, December 15, 2011 at 3:05pm.
A jogger ran 6 miles, decreased her speed by 1 mile per hour and than ran another 7 miles. If total jogging time was 2 1/42, find speed for each part of her run.
• algebra - Reiny, Thursday, December 15, 2011 at 5:12pm
first speed --- x
s... | 4 | [
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CDM Models, halo structure and rotation of spirals
CDM models predict a halo structure which is responsible for the rotation curve of the spiral galaxies. Halo structures and rotation curves are therefore closely connected problems. Let us assume
that halos are spherical.
Gunn and Gott (1972) concluded that the ... | 4 | [
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scalar field question
March 24th 2008, 09:00 PM #1
Newbie
Joined
Mar 2008
Posts
7
scalar field question
hey people, i have a question asking me to sketch the level curves of this scalar field:
T(x,y) = (2x-y)/(x^2+y^2), for T = -1,-.5,0,.5 and 1.
The theory we were taught was to let T equal a c... | 4 | [
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mathematical induction
Can you please help me with Prove that n^3-n is divisible by 3
$n^3 - n = 3a$ for some $a$. First we see if it holds for $n=0$ $0^3 - 0 = 0$, therefore true for $n=0$ Now we use what's called the induction step, we assume that it's true for $n=k$ where k is some
natural nubmer. This gives us $k^... | 4 | [
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Statistics of Extended GCD
up vote 13 down vote favorite
4
Consider a coprime pair of integers $a, b.$ As we all know ("Bezout's theorem") there is a pair of integers $c, d$ such that $ac + bd=1.$ Consider the smallest (in the sense of Euclidean norm) such
pair $c_0, d_0$, and consider the ratio $\frac{\|(c_0, d_0)\|}... | 4 | [
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0.... | 39,505 | 39505 | |
Trig identitys
February 15th 2011, 05:50 PM
Kromletch
Trig identitys
My book lacks answers and i suffer much confusion in this. So here goes, but first quick question. How do i produce signs like pi or theta on here like some of the experts do, along with
representing fractions as a fraction as opposed to fo... | 4 | [
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0.007720947265625,
... | 39,506 | 39506 | |
Trig Equations
November 18th 2010, 11:02 AM #1
Junior Member
Joined
Oct 2008
Posts
39
Trig Equations
Need to solve solutions for [0,2π)
Problem: Sin x + cos X=1. What I did was square both side.
SinX^2+2sinXcosX+cosX^2=1. It's the Middle term that is really throwing me off. I know that I need to... | 4 | [
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... | 39,507 | 39507 | |
Almost Cauchy-Goursat theorem
September 16th 2009, 10:49 AM #1
Almost Cauchy-Goursat theorem
Let $C$ be the positive oriented frontier of the semi disk $0\leq r \leq 1, 0\leq \theta \leq \pi$ and let $f(z)$ be a continuous function defined in the semi disk, given by $f(0)=0$ and $f(z)=z^
{\frac{1}{2}}= \sqrt ... | 4 | [
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If the morphism of root data induced by an isogeny of a reductive group is a Frobenius, is then the isogeny itself a Frobenius?
up vote 3 down vote favorite
Let $G$ be a reductive (or just semisimple) algebraic group over an algebraically closed field $k$ of characteristic $p > 0$, let $T$ be a maximal Torus and let $... | 5 | [
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Least squares
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 meth... | 4 | [
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set proof
December 18th 2008, 06:53 AM
qwerty321
set proof
Hello
Let
A, B and C be 3 sets. Prove that:
if x belongs to (A-B)-C then x belongs to A-C using:
a)direct proof.
b)proof by contraposition
thank you
December 18th 2008, 07:22 AM
Isomorphism
Quote:
a) $x \i... | 5 | [
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3/4-Lie superalgebras: how much of a theory can one develop?
up vote 9 down vote favorite
Let $\mathfrak{s} = \mathfrak{s}_0 \oplus \mathfrak{s}_1$ be a real Lie superalgebra. (The ground field does not matter much, but at least one formula will not work as written if the characteristic
is 2 or 3.) Recall that this me... | 4 | [
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need help with induction prove..
February 16th 2008, 07:51 AM #1
Newbie
Joined
Feb 2008
Posts
6
How do you prove this?
Use induction to prove that 3 divides n^3 + 3n^2 + 2n for every nonnegative integer n.
Hello, st4rl1ight!
Use induction to prove that 3 divides $n^3 + 3n^2 + 2n$ for every $... | 4 | [
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A nonlinear initial-boundary value problems with Taylor expansion of parameter
up vote 1 down vote favorite
Let $u(x,t; \epsilon)$ satisfy the nonlinear initial boundary value problem $$ u_{tt} = (u_{x} + u_{x}^3)_{x} + u_{xxt}, \space 0 \lt x \lt 1 $$ $$ u(0,t) = 0 \\ u(1,t) = 0 \\ u(x,0) = \epsilon f(x)
\\ u_{t}(x,0... | 5 | [
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where does he get this term from?
February 27th 2009, 02:10 AM #1
Newbie
Joined
Feb 2009
Posts
17
where does he get this term from?
I have the differential equation
dT/ds = C + BT
which is derived from
dT = Fds, F = umg + (1/2)CrAv^2, v^2 = 2T/m
and where
T = Kinetic energy
s... | 4 | [
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If sec =2, find the possible values of tan theta
January 16th 2012, 01:56 AM #1
Junior Member
Joined
Mar 2009
Posts
34
If sec =2, find the possible values of tan theta
just got a question to ask, If sec =2, find the possible values of tan theta? have to prepare for upcoming test in 2 days ==
Re: If sec ... | 4 | [
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Arithmetic closed subsets
up vote 3 down vote favorite
Let $S, S_1$ be subsets of the positive numbers $\mathbb{N}$. We say (as usual) that $S$ is multiplicative closed if $x \in S$ and $y \in S$ implies $xy \in S.$ We say also that $S_1$ is arithmetic
closed if $x \in S_1$ and $y \in S_1,$ and $\gcd(x,y)=1,$ implies ... | 4 | [
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Kunen's use of Countable Transitive Models
up vote 7 down vote favorite
3
Hi,
I have a doubt concerning Kunen's exposition of forcing in his classical book (arguably $the$ book on forcing). When dealing with Countable Transitive Models to set up the forcing machinery, Kunen is
always very careful with letting this C.... | 5 | [
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Estimates for Green's function
up vote 0 down vote favorite
1
Let $n$ - dimension $\geq 3$.
Consider a compact manifold (M,g). Let $\epsilon_0$ denote the injectivity radius of $(M,g)$. Let $B_\epsilon(0)$ denote a geodesic ball of radius $\epsilon < \epsilon_0$.
Consider the Green's function on $B_\epsilon(0)$ ( i.... | 4 | [
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marginal densities
January 12th 2013, 02:18 AM
JDAWES
marginal densities
Suppose f(x,y) is a prob density function: f(x,y) = 1/k -2<=x<y<=2
Find the value of k such that f(x,y) is a valid probability distribution function?
Find the marginal density of X and the marginal density of Y?
Thanks
Janua... | 5 | [
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Minkowski distance
July 17th 2006, 08:42 AM #1
Newbie
Joined
Jul 2006
Posts
3
Minkowski distance
Hi,
i'm looking for the proof of minkowski metric in infinite that become the largest of the differences of the coordinates of x and y.
can anybody help me please?
I cannot understand anything yo... | 5 | [
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incongruent solutions to (mod n)
June 2nd 2008, 05:38 PM #1
Junior Member
Joined
Jun 2008
Posts
39
incongruent solutions to (mod n)
7x = = 3 (mod 15)
take the gcd (7,15) = 1 therefore 1 and 1/3 are 2 incongruent solutions??
6x = = 5 (mod 15)
gcd = 3 but 3 isn't a divisor of 5 therefore there... | 4 | [
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Principle and Use of Ottoman Sundials
Muslim astronomers and engineers invented a variety of dials for timekeeping and for determining the times of the five daily prayers. In this thorough and technical study, Professor Attila Bir
analyses the principle and use of Ottoman sundials. Beginning with the definition of the ... | 4 | [
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Con
Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
38(1), 1 - 10 (1997)
The Bellows Conjecture
R. Connelly, I. Sabitov,... | 4 | [
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Generalization of a horse-racing puzzle
up vote 7 down vote favorite
1
A well-known puzzle goes:
"Suppose that you have 25 horses and a racetrack on which you can race up to 5 horses. If the outcome of each race only tells you the relative speeds of the horses in the race, how many races do you
need to determine the ... | 5 | [
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Non-finitely-generated module is union of countable chain?
up vote 2 down vote favorite
Let $R$ be a ring. Let $M$ be a left $R$-module.
Then: $M$ is not finitely generated <=> $M$ is the union of a set of proper submodules closed under binary sums. To recall why: (<=) If $M$ would be f.g., then chosen finitely many ... | 5 | [
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Global max/min.
March 28th 2008, 12:05 PM
mathlete
Global max/min.
im having trouble with these two, finding the global max/min, i just dont understand how to do it...
g(t) = t/(t^2+5)
Determine the global extrema of g(t) on the interval 1 ≤ t ≤ 8.
g(t) has a global minimum at t =
g(t) has a ... | 5 | [
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0.06982421875,
0.0279541015625,
0.00201416015625,
0.062255859375,
-0.05126953125,
0.00372314453125,
-0.005126953125... | 39,527 | 39527 | |
Can somebody complete these task?
December 4th 2010, 04:55 AM
Antalya
Can somebody complete these task?
Shorten the rational expressions as possible.
a) $\frac{x^{2}+4x+4}{x^{2}-4}$
b) $\frac{x^{2}+x-6}{x^{2}-2x}*\frac{6x}{2x^{2}-18}$
I need full calculation with these task and the answer must be ... | 4 | [
-0.0240478515625,
0.0615234375,
0.0106201171875,
0.039306640625,
0.031982421875,
0.095703125,
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-0.017822265625,
0.004058837890625,
-0.015625,
0.04541015625,
-0.072265625,
-0.005401611328125,
-0.0054931640625,
-0.0128173828125,
0.07666015625,
-0.02734375,
-0.02636718... | 39,528 | 39528 | |
Continuity, sequence
In order to determine the limit of the following sequence perform an algebraic manipulation to express the sequence in a form that is amenable to continuity arguments:
$a_n := \sqrt{n^2+n} -n$
----------
Hmm... Now, I suspect we need to make a substitution, eg.
$n = \frac{1}... | 4 | [
-0.007598876953125,
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0.00970458984375,
0.11767578125,
... | 39,529 | 39529 | |
Math Forum Discussions
Re: Induction proof
Posted: Aug 19, 2006 12:52 PM
okay, my question is, just how do you decide to go from here ... to
here.
< (1 - 1/n) + 1/(n+1)^2 (by induction hypotheses)
< (1 - 1/n) + 1/(n*(n+1))
I know you've made a note of what you did but I don't understand how
you can do that.
Would yo... | 5 | [
-0.1533203125,
0.09716796875,
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0.0228271484375,
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0.0257568359375,
0.0732421875,
-0.00598... | 39,530 | 39530 | |
Linear Algebra Question
March 15th 2008, 02:05 PM #1
Newbie
Joined
Mar 2008
Posts
4
Linear Algebra Question
I'm completly unsure how to tackle this problem
the subject of the following is Linear Transformations.
Given in the text:
....We also have linear transformations on function spaces,... | 5 | [
-0.04296875,
0.061767578125,
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0.046142578125,
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0.0625,
-0.0036468505859375,
0.0751953125,
... | 39,531 | 39531 | |
Derivatives of a square
October 2nd 2006, 06:52 PM
cyberdx16
Derivatives of a square
i have here (sq root of s)-1/(sq root of s)+1 how do i find the derivative of this??? i've been getting all these weird 1/2s and what not and cant figure out what im doing wrong
October 2nd 2006, 07:40 PM
CaptainBlack
Qu... | 5 | [
-0.035400390625,
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0.02392578125,
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0.0269775390625,
0.0201416015625,
0.001007080078125,
-0.0654296875,
-0.0033111572265625,
-0.00... | 39,532 | 39532 | |
Balls in boxes (partition)
up vote 7 down vote favorite
5
Given 100 boxes. Each contains arbitrary number of red, blue and green balls, i.e., 100 non-negative integer triples $(r_i,b_i,g_i)$.
Prove it's always possible to find 51 boxes so that the total number of balls of each color in these boxes is no less than the... | 5 | [
0.03125,
0.076171875,
0.00142669677734375,
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0.0020751953125,
0.044189453125,
0.0269775390625,
0.08154296875,
-0.028808593... | 39,533 | 39533 | |
Deformations of hypersurfaces
up vote 6 down vote favorite
2
Suppose I have a smooth hypersurface $X$ in $\mathbb{P}^n$ which is invariant under a (say finite) group $G$ of projective transformations. What can be said about the action of $G$ on the deformation
space $H^1(X,T_X)$? I could imagine that many examples (es... | 4 | [
-0.083984375,
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0.017... | 39,534 | 39534 | |
Trig general solution
I have a risk at these two Trigonometric equation to find out the general solution. $1.\ sin2x-cos2x-sinx+cosx=0\\ \ 2.\ 4cos3x-sin2xcosx=0$
Principal general solutions in the complex plane found as follows: Substitute sin() & cos() functions with their equivalents in complex plane: $z=x+\text{i ... | 5 | [
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0.033935546875,
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0.0361328125,
-0.0266113... | 39,535 | 39535 | |
Derivative- quotient rule? Need help within hour if possible:)
October 13th 2006, 09:10 PM #1
Member
Joined
Oct 2006
Posts
81
Derivative- quotient rule? Need help within hour if possible:)
Hi. I'm stuck on a problem I know is fairly simple, but I can not figure out what I am doing wrong.
The problem... | 5 | [
-0.01904296875,
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Trigonomic Equations
August 19th 2011, 02:00 PM #1
Trigonomic Equations
$cos^2(x)-cos2(x)+sin(x)=-sin^2(x)$
There's the problem, I've tried various different solutions but I can't seem to get it right, I've noticed that the middle cosine is a double-angle but I can't seem to make the formula give me an
... | 4 | [
-0.1103515625,
0.0208740234375,
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0.00732421875,
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0.076171875,
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0.059814453125,
-0.013183... | 39,537 | 39537 | |
Eigenvalues part 2
November 6th 2009, 07:25 AM #1
Member
Joined
Jun 2008
Posts
77
Eigenvalues part 2
i need to find the eigenvalues and vectors of this matrix
[0 1]
[-1 0]
lamda - A gives me this:
[Lamda -1]
[1 Lamda]
Solve the det of this to get lamda squared +1
Only soluti... | 5 | [
-0.09375,
-0.016845703125,
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0.0211181640625,
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-0.029052734375,
0.054931640625,
-0.0612792... | 39,538 | 39538 | |
Some problem on eigenvalues,eigenvectors and diagonalizability
November 30th 2011, 08:19 AM
maoro
Some problem on eigenvalues,eigenvectors and diagonalizability
I'm preparing final exam on linear algebra and come across with these problem:
#1
Let A be an n*n matrix.Assume that for some $k>=1$, $A^k=/=0$... | 5 | [
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0.05126953125,
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0.0673828125,
-0.0164794921875,
-0.000492... | 39,539 | 39539 | |
Problems on Rates and Unit Conversions
Date: 06/21/99 at 08:41:30
From: Peter Ravenscroft
Subject: Rates
Dear Doctor Math,
Peter has trouble on these questions on rates, so could you please
send him the answers and how to set them up?
Thank you,
Peter's mother
1. Convert these rates as directed
A) $8.25/2.5 k... | 4 | [
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0.017822265625,
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-0.02880859375,
0.02392578125,
0.029052734375,
0.084... | 39,540 | 39540 | |
Rank of covariance matrix whose diagonal elements are same
up vote -1 down vote favorite
Suppose A is a covariance matrix whose diagonal elements are same, i.e. $A_{1,1}=A_{2,2}=\cdots=A_{N,N}$, can we conclude that A is full rank? Suppose the absolute values of the off-diagonal elements
in A are all smaller than the ... | 5 | [
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0.0250244140625,
0.06494140625,
-0.02001... | 39,541 | 39541 | |
Take Web data analysis to the next level with PHP -
Take Web data analysis to the next level with PHP
Design your data analysis to go beyond simple raw counts
Dynamic Web sites generate an enormous amount of data — access logs, poll and survey results, customer profiles and orders, and more — so increasingly, the job... | 5 | [
-0.00811767578125,
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0.008544921875,
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-0.00836181640625,
-0.0025634765625,
0.03857421875,
0.024169921875,
-0.0223388671875... | 39,542 | 39542 | |
Solutions of system of diophantine equations
up vote 0 down vote favorite
The system of diophantine equations $$\{x^2-y^2+z^2-u^2+q^2-t^2=0,\,xy+zt-uq=0 \}$$ is given. Do the formulas $$x:=(j(p^2-4ps+3s^2)-(p-s)(3p^2-4ps+s^2))k^2+2(j-2(p-s))(p-s)kn+(j-p+s)n^2, $$ $$y:=
(p-s)(4j(p-s)-3p^2+4ps-s^2)k^2+2(p-s)(j-2(p-s))kn... | 4 | [
-0.0908203125,
0.03369140625,
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0.01953125,
0.05517578125,
0.04638671875,
0.042236328125,
-0.000010371208190917969,
0.01190185546875,
-0.01214... | 39,543 | 39543 | |
When is a localization of a commutative ring finitely generated as an algebra?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Prove or counterexample: If A is a commutative ring and $A_p$ is a finitely generated algebra... | 5 | [
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0.08740234375,
0.01025390625,
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0.044189453125,
0.036376953125,
-0.005... | 39,544 | 39544 | |
Reduced divisors and Riemann-Roch for Graphs
In an earlier post, I described a graph-theoretic analogue of the Riemann-Roch theorem and some of its applications. In this post, I’d like to discuss a proof of that theorem which is a bit more
streamlined than the one which Norine and I gave in our original paper [BN]. L... | 4 | [
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0.03955078125,
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0.0137939453125,
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-0.01177978515625,
-0.0296630859375,
0.0... | 39,545 | 39545 | |
Lie group examples
up vote 33 down vote favorite
27
I'm looking for interesting applications of Lie groups for an introductory Lie groups graduate course. In particular I'd like to hear of non-standard examples that at first sight do not seem to be
related to Lie groups (so please don't suggest well-known things like ... | 4 | [
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0.03076171875,
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-0.03125,
0.125,
... | 39,546 | 39546 | |
Projected particle
February 16th 2011, 09:01 PM #1
Member
Joined
Nov 2009
Posts
94
Projected particle
Hi
I have been stumped by this question for the past few days. Worrying since I will be sitting STEP in June! Never mind. It goes like this:
A particle is projected vertically upwards with a spee... | 4 | [
-0.029052734375,
0.0380859375,
0.016845703125,
-0.052490234375,
0.04443359375,
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0.048095703125,
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0.0179443359375,
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0.058349609375,
-0.0224609375,
-0.00037384033203125,
0.07568359375,
0.045654296875,
-0.027221... | 39,547 | 39547 | |
Math Forum Discussions - Re: Least-squares scaling
Date: Nov 13, 2012 12:13 PM
Author: Kaba
Subject: Re: Least-squares scaling
Ray Koopman wrote:
> On Nov 11, 10:55 am, Kaba <k...@nowhere.com> wrote:
>
> > Hi,
>
> >
>
> > Let
>
> >
>
> > R in R^{d times n}
>
> > P in R^{d times n}, and
>
> > S in R^{d time... | 4 | [
-0.004974365234375,
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0.054443359375,
0.002532958984375,
0.020263671875,
0.02722167... | 39,548 | 39548 | |
TANCET 2013
You are here:
Home
»
TANCET, XAT Prep Questions Answers
»
Mensuration, Solid Geometry
Mensuration, Solid Geometry Question Bank & Answers
Mensuration, Volume, Area, Perimeter, Circumference questions that appear in PGSEM, XAT, CAT, TANCET
A collection of questions that typically appear in the TANC... | 4 | [
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-0.005615234375,
0.0245361328125,
0.020751953125,
0.0... | 39,549 | 39549 | |
Mahalanobis
Ernest Chan (
blog
) writes in his book
Quantitative Trading - How to Build Your Own Algorithmic Trading Business
:
Here is a little puzzle that may stymie many a professional trader. Suppose a certain stock exhibits a true (geometric) random walk, by which I mean there is a 50-50 chance that the s... | 4 | [
-0.016845703125,
-0.0162353515625,
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0.01202392578125,
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0.01214599609375,
-0.04711914062... | 39,550 | 39550 | |
What is known about the category of monads on Set?
up vote 16 down vote favorite
8
Monads on the category Set of sets and functions are somehow fundamental objects of category theory, and moreover they have important applications to computer science. We know of a good number of
monads on Set, but they all appear (at l... | 4 | [
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My Own Proof of uniqueness of antiderivative
June 22nd 2012, 07:51 AM #1
Newbie
Joined
Jun 2012
From
London
Posts
5
(Fixed) My Own Proof that Antiderivative NOT unique
Greetings everyone. I'm trying to do the following proof my own way but it doesn't look like my final answer is matching the solution... | 5 | [
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-0.00193023681640625,
0.00909423828... | 39,552 | 39552 | |
Interactive shadow removal from a single image using hierarchical graph cut
Interactive shadow removal from a single image using
hierarchical graph cut
Daisuke Miyazaki1 , Yasuyuki Matsushita2 , and Katsushi Ikeuchi1
... | 4 | [
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0.06298828125,
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0.01770... | 39,553 | 39553 | |
finite global dimension vs integral Domain
up vote 0 down vote favorite
For the quotient of polynomial rings over complex number field,
its global dimension is finite is equivalent to it is domain.
is this true?
ac.commutative-algebra
add a comment |
2 Answers
active oldest votes
No, b... | 5 | [
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... | 39,554 | 39554 | |
A Novel Approach in Detection and Characterization of CW
A Novel Approach in Detection and
Characterization of CW Interference of GPS
Signal Using Receiver Estimation of C/No
A. T. Balaei, A.G. Dempster and J. Barnes
Cooperative Res... | 4 | [
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0.01031494140625,
0.0439453125,
-0.012939453125,
0.07666015625,
-0.0296630859375,
0.00604248046875,
-0.06396484375,
-0.034423828125,
0.023193359375,
... | 39,555 | 39555 | |
Finding the values of p and q
May 31st 2010, 09:20 AM #1
Finding the values of p and q
$x^2-8x+23-(x-p)^2+q$ for all values of x
find the value of p and q
I did
$(x^2-8x+16)+7=...\rightarrow (x+4)^2+7=(x+p)^2+q$
I'm stuck.. what should I do now, square route the whole thing?
edit:
wh... | 4 | [
0.01318359375,
0.0966796875,
0.07373046875,
0.08984375,
0.0015869140625,
0.1416015625,
-0.0146484375,
0.07421875,
0.032470703125,
-0.0693359375,
0.06689453125,
-0.01300048828125,
0.042236328125,
0.05224609375,
-0.00201416015625,
-0.00087738037109375,
-0.04833984375,
0.017333984375,... | 39,556 | 39556 | |
Natural log limit
January 26th 2010, 02:00 PM #1
Natural log limit
lim x->0 from the right of ln(4/x^2)
I think it is infinity but I'm not sure how to prove that? I know that if you divide by zero that will give you infinity and I can see that from the graph. However that logarithm being there is
making ... | 5 | [
0.042724609375,
-0.003875732421875,
0.004669189453125,
0.00897216796875,
0.054443359375,
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-0.055419921875,
0.0556640625,
0.08154296875,
0.0279541015625,
0.03125,
-0.0223388671875,
-0.031005859375,
0.0791015625,
-0.00174713134765625,
0.056396484375,
-0.03271484375,
-0... | 39,557 | 39557 | |
What do higher Chow groups mean?
up vote 28 down vote favorite
20
Let $z^i(X, m)$ be the free abelian group generated by all codimension $i$ subvarieties on $X \times \Delta^m$ which intersect all faces $X \times \Delta^j$ properly for all j < m. Then, for each i,
these groups assemble to give, with the restriction ma... | 4 | [
-0.0615234375,
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0.021728515625,
0.035888671875,
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-0.07421875,
0.056884765625,
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-0.020751953125,
0.001327... | 39,558 | 39558 | |
Isomorphism between pull-backs of an F-crystal by different liftings of Frobenius
up vote 2 down vote favorite
1
This might be a naive question. But since I haven't seen this in any reference, I'll try to ask it here. Let $T$ be a smooth scheme over the algebraically closed field $k$ of characteristic $p>0$ (we
can a... | 5 | [
-0.033203125,
0.000820159912109375,
0.0361328125,
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0.01422119140625,
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0.04931640625,
0.01153564453125,
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-0.0576171875,
-0.00177764892578125,
0.020751953125,
0.052001953125,
-0.0976... | 39,559 | 39559 | |
Example of 2-dimensional hypersurface singularity whose exceptional locus of minimal resolution is not normal crossing
up vote 3 down vote favorite
1
Let $U= (f=0) \subset \mathbb{C}^3$ be an isolated hypersurface singularity of dimension $2$. Let $\mu: \tilde{U} \rightarrow U$ be its minimal resolution.
Question Is ... | 5 | [
0.04638671875,
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0.028564453125,
-0.076171875,
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0.080078125,
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0.053955078125,
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0.023193359375,
-0.06884765625,
-0.02160644531... | 39,560 | 39560 | |
Urgent Help needed!
April 9th 2006, 07:01 PM #1
Newbie
Joined
Apr 2006
Posts
7
Urgent Help needed!
Using the fact that reduction can be carried out at each stage without changing the end result, calculate 43^97(mod 98) exactly using only the capabilites of a standard pocket calculator.
jzon
Usi... | 5 | [
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0.0830078125,
... | 39,561 | 39561 | |
Are there pairs of highly connected finite CW-complexes with the same homotopy groups?
up vote 29 down vote favorite
14
Fix an integer n. Can you find two finite CW-complexes X and Y which
* are both n connected,
* are not homotopy equivalent, yet
* $\pi_q X \approx \pi_q Y$ for all $q$.
In Are there two non-homot... | 4 | [
-0.01171875,
0.0186767578125,
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0.03076171875,
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0.07177734375,
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0.061767578125,
-0.06884765625,
0.000... | 39,562 | 39562 | |
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Topic: Number "e" and Straightlinecurves; derivative & in... | 4 | [
-0.053466796875,
-0.010498046875,
-0.00015926361083984375,
-0.036865234375,
0.042236328125,
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0.0096435546875,
0.10693359375,
0.0341796875,
0.0146484375,
-0.034912109375,
-0.0134887... | 39,563 | 39563 | |
Simple indices question..
March 18th 2009, 01:17 AM #1
Member
Joined
Nov 2007
Posts
100
Simple indices question..
Solve the equation 4^2x x 8^(x-1) = 32
Usually I solve these using logs and antilogs but here the question specifies that I cannot use that way as it's too basic.
I get the answer, ... | 4 | [
0.037841796875,
-0.035400390625,
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0.09619140625,
0.0240478515625,
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0.08349609375,
0.044189453125,
-0.027099609375,
0.10302734375,
-0.1044921875,
-0... | 39,564 | 39564 | |
Finding the vertices of a polyhedral complex coming from a GIT wall and chamber decomposition
up vote 8 down vote favorite
4
I am interested in a polyhedral/combinatorics problem that arises in algebraic geometry in the context of geometric invariant theory (GIT).
Algebro-geometric background: Consider the natural di... | 4 | [
-0.0751953125,
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-0.01116943359375,
-0.00061798095703125,
-0.027587890625,
-0.016845703125,
-0.017... | 39,565 | 39565 | |
Hypercube decomposition of perverse sheaves
up vote 4 down vote favorite
3
There is a well known theorem that says that the functor associating to a perverse sheaf $F$ on $X$ the data $(F|_U,\phi_f(F),can:\psi_f(F) \to \phi_f(F),var:\phi_f(F)\to \psi_f(F)(-1))$ where $U = X
\setminus (f=0)$ is an equivalence of catego... | 4 | [
-0.01123046875,
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0.062255859375,
-0.0067138671875,
0.007080078125,
-0.003692626953125,
-0.... | 39,566 | 39566 | |
Law of Sine the Ambiguous Case Problems
March 29th 2012, 05:45 PM #1
Newbie
Joined
Mar 2012
From
United States
Posts
1
Law of Sine the Ambiguous Case Problems
I am super confused about these-
I have two problems that I have no idea what to do with. I know I need to draw a picture but I do not und... | 4 | [
0.03466796875,
0.06884765625,
0.06396484375,
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0.0693359375,
0.01068115234375,
0.0634765625,
-0.0791015625,
-0.02160644... | 39,567 | 39567 | |
Lower bound of the number of relatively primes(each-other) in an interval
up vote 5 down vote favorite
1
I am trying to find lower and upper bounds for the number of integers that are coprime in pairs in an interval of length n.
What are the best bounds that we have?
Is that true that in any interval of leng... | 5 | [
-0.00128936767578125,
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0.0966796875,
0.04345703125,
-0.0238037109375,
0.03564453125,
-0.061279296875,
0.06640625,
-0.092285156... | 39,568 | 39568 | |
Indeterminate powers
January 13th 2010, 09:23 AM #1
Member
Joined
May 2009
Posts
129
Indeterminate powers
Find the limit:
lim x -> 0+ x^x
write as an exponential:
x^x = e^(xlnx)
I know: lim x -> 0+ xlnx = 0 (we did that earlier with the l'Hospital's Rule)
so,
lim x -> 0+ x^x ... | 5 | [
-0.01904296875,
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0.059814453125,
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0.0306396484375,
0.06982421875,
0.0252685546875,
-0.06494140625,
-0.... | 39,569 | 39569 | |
Course
LEC # TOPICS LECTURE NOTES
Why Measure Theory?
Measure Spaces and Sigma-algebras
1 (PDF)
Operations on Measurable Fun... | 4 | [
-0.054443359375,
-0.036376953125,
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0.00830078125,
... | 39,570 | 39570 | |
In a network with N nodes, what is the general formula for computing the propagation of a set of numbers?
up vote 0 down vote favorite
I am creating a circular neural network with N nodes. Each node is connected via a send pathway to every other node, and the connection between two nodes has a weight. Any number sent ... | 4 | [
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-0.0272216796875,
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0.0771484375,
-0.03173828125,
0.060... | 39,571 | 39571 | |
Proof a Weyl Algebra isn't isomorphic to a matrix ring over a division ring
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Can anyone prove that a Weyl Algebra is not isomorphic to a matrix ring over a division ring?
ad... | 4 | [
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0.04052734375,
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-0.00069427490234375,
0.012939453125,
0.0544... | 39,572 | 39572 | |
A study shows...
January 23rd 2010, 05:41 PM #1
Member
Joined
Oct 2009
Posts
92
A study shows that the percentage of left-handed people among mathematicians
is greater than the percentage of left-handed people among
non-mathematicians. Prove that it follows that the percentage of
mathematician... | 4 | [
0.0654296875,
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0.0224609375,
... | 39,573 | 39573 | |
Order Among the Numbers
April 26th 2009, 09:09 PM #1
Member
Joined
Oct 2008
Posts
124
Order Among the Numbers
1) Prove if x < y, then it is false that y < x; if x > y, then it is false that y > x.
2) Prove if x < y and z is a number, then x-z < y-z.
Assume x < y, and assume to the contrary that... | 4 | [
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-0.031982421875,
-0.020... | 39,574 | 39574 | |
Maximizing a function?
April 4th 2011, 10:13 AM #1
Member
Joined
Sep 2009
Posts
80
Maximizing a function?
Could someone please check my work on the following problem?
"The quantity, q, of a product manufactured depends on the number of workers, W, and the amount of capital invested, K, and is given ... | 5 | [
0.01190185546875,
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0.1083984375,
-0.0162353515625,
0.111328125,
0.00150299072265625,
-0.0385... | 39,575 | 39575 | |
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Topic: Proof induction
Replies: 1 Last Post: Feb 16, 2013... | 4 | [
-0.1396484375,
0.007293701171875,
0.04736328125,
0.025146484375,
0.0162353515625,
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0.0245361328125,
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0.041259765625,
-0.01611328125,
-0.0093994140625,
0.004119873046875,
-0.0284423828125... | 39,576 | 39576 | |
mathchat
How to Find the GCF for Three or More Numbers
February 19, 2014
To find the GCF for three or more numbers, follow these steps:
1) Determine which of the given numbers is smallest, then find the smallest difference between any pair of numbers.
2) See what is smaller: the smallest number, or the smallest... | 4 | [
0.0115966796875,
-0.006591796875,
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0.025634765625,
0.0286865234375,
0.018798828125,
-0.060546875,
-0.0498046875,
0.04... | 39,577 | 39577 | |
23. Matrices and Linear Algebra
[ < ] [ > ] [ << ] [ Up ] [ >> ] [Top] [Contents] [Index] [ ? ]
23. Matrices and Linear Algebra
[ < ] [ > ] [ << ] [ Up ] [ >> ] [Top] [Contents] [Index] [ ? ]
23.1 Introduction to Matrices and Linear Algebra
[ < ] [ > ] [ << ] [ Up ] [ >> ] [Top] [Contents] [Index... | 5 | [
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0.10888671875,
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... | 39,578 | 39578 | |
mathschallenge.net
Tick Tock Triangle
Problem
The hour hand on a wall clock is 3 inches long and the minute hand is 4 inches long. At three o"clock, the hands form a 3-4-5 right angle triangle.
At a random time during the day it is noted that the triangle formed by the hands has integer length sides. What is the pr... | 4 | [
0.017822265625,
0.050048828125,
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0.041748046875,
0.0537109375,
-0.06982421875,
-0.0235... | 39,579 | 39579 | |
[SOLVED] Inverse Functions
Last edited by nnnnn; May 19th 2008 at 01:36 PM.
Let a be the point of the tangent line then $(a,e^{-a})$ is a point on the graph $y=e^{-x} \to y'=-e^{-x}$ So the slope at point a is $m=-e^{-a}$ Now we can find the equation of the line through the
point $(a,e^{-a})$ $y-e^{-a}=-e^{-a}(x-a) \i... | 5 | [
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0.033447265625,
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0.06640625,
0.0035247802734375,
-0.07421875,
-0.05395507812... | 39,580 | 39580 | |
on the difference of exponential random variables
up vote 2 down vote favorite
Assume two random variables X,Y are exponentially distributed with rates p and q respectively, and we know that the r.v. X-Y is distributed like X'-Y' where X',Y'are exponential random variables,
independent among themselves and independent... | 5 | [
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0.10302734375,
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-0.0... | 39,581 | 39581 | |
Homework Help
Posted by nikki on Thursday, March 21, 2013 at 11:46am.
The hypotenuse of a right triangle is 1 cm more than twice the shorter leg, and the longer leg is 9 cm less than three times the shorter leg. Find the lengths of the three sides of the triangle..
• math - Steve, Thursday, March 21, 2013 at 12:29p... | 4 | [
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0.1015625,
0.0556640625,
0.00168609619140625,
-0.053955078125,
0.043457... | 39,582 | 39582 | |
Aptitude Test questions Infosys(Helpful interview questions)
Infosys Interview Aptitude Test questions
1) In a game of cricket azahar scored 28 less than dravid.& sachin scored 72 more than Azahar.the total runs made by Azahar & robin are 94.robin scored 26 more than zadeja.dravid scored 26 more than
robin. What is th... | 4 | [
0.0162353515625,
0.07470703125,
-0.06103515625,
-0.0218505859375,
-0.0269775390625,
0.022705078125,
0.06005859375,
0.10693359375,
-0.0228271484375,
0.1611328125,
-0.01348876953125,
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0.072265625,
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-0.0341796875,
-0.07958984375,
-0.06738... | 39,583 | 39583 | |
Using Longitude and Latitude to Determine Distance
Date: 17 Apr 1995 17:47:06 -0400
From: Clarence Warren
Subject: (none)
I've been looking for the equation for finding the distance between two
cities, given the latitude and longitude of both cities. For example: what
is the formula one would use to find the distanc... | 5 | [
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0.04296875,
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0.058837890625,
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0.0211181640625,
0.0263671875,
-0.03271484375,
-0.03369140625,
-0.011474609... | 39,584 | 39584 | |
Are supervector spaces the representations of a Hopf algebra?
up vote 6 down vote favorite
5
Supervector spaces look a lot like the category of representations of $\mathbb{Z}/2\mathbb{Z}$ - the even part corresponds to the copies of the trivial representation and the odd part corresponds to
the copies of the sign repr... | 4 | [
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0.017578125,
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0.02... | 39,585 | 39585 | |
Exceptional loci are covered by rational curves: easy case
up vote 3 down vote favorite
2
It's well-known that the exceptional locus of a birational morphism is covered by rational curves, in various degrees of generality. The best result I know in this direction is the following:
Theorem (Hacon–McKernan): Let (X,Δ) ... | 4 | [
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... | 39,586 | 39586 | |
Does Repetitive Division Correspond to a Logarithm?
Date: 05/26/2008 at 19:20:08
From: Amir
Subject: How to determine from division if a function is logarithmic
Hello,
I was in a class recently and it's been a few years since I studied
exponents and logarithms but my interest in them never ceases! I
understand that... | 4 | [
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0.0407714843... | 39,587 | 39587 | |
Rate of decay and probability density function
July 14th 2007, 02:48 PM #1
Junior Member
Joined
May 2007
Posts
30
Rate of decay and probability density function
I'm having an issue because I can't connect my teacher's answer with the textbook's question.
"Tritium is the basic fuel of hydrogen bombs ... | 4 | [
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-0.... | 39,588 | 39588 | |
Decreasing the size of integers in a multiset while maintaining the total order on sums of subsets
up vote 4 down vote favorite
2
Consider a multiset $S$ containing $n$ positive integers $\{s_1, s_2, \ldots, s_n\}$. For the purpose of this question, assume that (some of) the integers are very large with respect to $n$... | 4 | [
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A question on a special type of function
up vote 2 down vote favorite
1
Suppose I have a function $f$, and positive integers $x$ and $y$ such that $x$ is a square, $x \ne y$ and $y \ne \sqrt{x}$.
Now, assume that:
$|\frac{f(x)}{y} - \frac{f(y)}{x}| > 2$
$|\frac{f(\sqrt{x})}{y} - \frac{f(y)}{\sqrt{x}}| > 1$
for all... | 5 | [
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0.0888671875,
-0.078... | 39,590 | 39590 | |
Synthetic Division
January 19th 2007, 06:57 PM #1
Banned
Joined
Jan 2007
Posts
315
Synthetic Division
Use synthetic division to divide
2x^5 + 3x^4 + 25x^² − 1 by x + 3.
Also, why call it synthetic?
Why is it called synthetic division?
Umm, maybe because it is not "real" division, it is... | 4 | [
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0.02... | 39,591 | 39591 | |
Modeling Liquidity Risk_ With Implications for Traditional Market Risk Measurement and Management
Financial Institutions Center
Modeling Liquidity Risk, With Implications for Traditional Market Risk Measurement and Management
by Anil Bangia Francis X. Diebold Til Schuermann John... | 4 | [
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... | 39,592 | 39592 | |
A couple of beginner complex number questions
October 2nd 2011, 04:48 AM #1
Newbie
Joined
Oct 2011
Posts
2
Hello guys, im new here, this seems like a nice forum to help me catch up on my math
I cant seem to manage to get the math format in so I apologize in advance for the confusing syntex
So I ... | 4 | [
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inverse function
September 28th 2006, 02:01 AM #1
Member
Joined
Sep 2005
Posts
136
inverse function
f(x)=1/(x-1)
find inverse function x=g(y) by solving the epression for x in terms of y.In each case, indicate domain and range of inverse function and then show gof(x)=x and fog(x)=y.
I got domain... | 4 | [
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-0.04003... | 39,594 | 39594 | |
solve this trig equation
April 6th 2010, 03:38 PM #1
Newbie
Joined
Apr 2010
From
Ottawa, Canada
Posts
10
solve this trig equation
sin2x + sqrt 2/2 = 0
i moved sqrt 2/2 to the other side..then i found the inverse of sin for 2x...then i got the quadrant values, dividing each one by 2...after than ... | 4 | [
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How long for a simple random walk to exceed sqrt(T)?
up vote 10 down vote favorite
1
Let {R_n} be a simple random walk with R_0 = 0, and let T be the smallest index such that k * sqrt(T) < |R_T| for some positive k. What is an expression for the probability distribution of T?
st.statistics pr.probability
I wrot... | 5 | [
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0.0311279296875,
-0.0534... | 39,596 | 39596 | |
Manning Equation Flow Calculator for Open Channel Flow Measurement
• Introduction
The Manning equation can be used for a variety of open channel flow calculations for natural channels, like rivers, streams and canals. Parameters like river discharge, water flow, and flow
velocity can be related to slope and ... | 5 | [
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How to Detect a Missing Pulse with a Timing Circuit
When timing is off in your computer, specific events don’t occur in the right order. But if you know the physics and i-v relationships of resistors and capacitors, you can create a circuit that
detects pulses; then when a pulse is missing, the circuit can trigger an ... | 5 | [
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Solve the equation ( hyperbolic functions)
July 28th 2009, 10:35 PM #1
Newbie
Joined
Jul 2009
Posts
9
Solve the equation ( hyperbolic functions)
6 sinh (theta) - 4 cosh (theta) - 3 = 0
giving the root correct to 3 decimal places.
I have arrived at the following equation thus far:
e^theta ... | 5 | [
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