content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Examples of DVRs of residue char p and ramification e
up vote 4 down vote favorite
I am looking for concrete examples of a complete discrete valuation ring $R$ of characteristic 0, residue characteristic $p$ and ramification index $e$. By residue characteristic, I mean the
characteristic of the field obtained by the q... | 5 | [
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0.04296875,
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0.060791015... | 45,400 | 45400 | |
[SciPy-Dev] On the leastsq/curve_fit method
josef.pktd@gmai... josef.pktd@gmai...
Mon Sep 26 11:39:30 CDT 2011
On Mon, Sep 26, 2011 at 10:31 AM, Paul Kuin <npkuin@gmail.com> wrote:
> I am just a simple user, but perhaps this gives some idea of what us users
> experience:
>
> I got so fed up with leastsq not having g... | 4 | [
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0.014892578125,
-0.014892578125,... | 45,401 | 45401 | |
Pidgeon hole theorem
November 7th 2006, 10:41 PM
feiyingx
Pidgeon hole theorem
Hi! I was reading an example in my book in the section about pidgeonhole theorem. I hav eno clue what this question is talking about, can someone explain or clarify? Thanks =]
Assume that in a group of six ppl, each pair of indiv... | 4 | [
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-0.0... | 45,402 | 45402 | |
Question on damping string vibration.
February 20th 2010, 10:03 PM #1
Junior Member
Joined
Nov 2009
Posts
58
Question on damping string vibration.
I cannot derivate the formula of $b_n$ . Please read the question at the bottom and look at the way how I derivate the coeficients. You can see the formula do... | 5 | [
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6.3 Linear Regression
This time we again want to look at data from two variables that are possibly related, but we want to determine the exact nature of that relationship, if any, and develop some formulas that will
allow us to make predictions. Let's use the same example that we have used before:
Ex... | 5 | [
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Complex Surds
September 22nd 2008, 10:49 AM #1
Newbie
Joined
Sep 2008
Posts
13
Hi everyone. Just found the forum. Revising over surds etc and have hit a snag. Can't figure out how to answer this question:
You are given that:
$a = \frac{3}{2}$ , $b = \frac{9-\sqrt{17}}{4}$ and $c = \frac{9+\sqrt{... | 4 | [
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... | 45,405 | 45405 | |
Can I calculate the radius of a circle from arc length and arc height alone?
September 16th 2011, 01:44 AM
hairymarmite
Can I calculate the radius of a circle from arc length and arc height alone?
Hi there
I have a problem which I thought would be quite easy when I was out on site.
I have a curved bridg... | 4 | [
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reduction formula (application of integration by parts)
April 3rd 2010, 04:26 AM #1
Member
Joined
Dec 2008
From
Australia
Posts
161
By finding a reduction formula for $sin^2x cos^4 x$, evaluate the integral.
can someone show me how to do this? I don't need help with the evaluation, but I don't kn... | 5 | [
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Triangle Trilemma
January 18, 2013
Today’s exercise is Problem A from the Google Code Jam Beta 2008. The problem is to accept three points as input, determine if they form a triangle, and, if they do, classify it at equilateral (all
three sides the same), isoceles (two sides the same, the other different), or scalene... | 5 | [
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Solution for a system of PDEs
up vote 0 down vote favorite
1
I recently came across a system of PDEs $\frac{\partial S}{\partial z}= f_1(x,y,z,w,t)$, $\frac{\partial S}{\partial w}= f_2(x,y,z,w,t)$, $\frac{\partial S}{\partial t}= f_3(x,y,z,w,t)$, $S
(x,y,1,1,1)=f_4(x,y)$, where $S$ is an unknown function of five var... | 5 | [
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derivation between two $C^{*}$ algebras
up vote -1 down vote favorite
given two $C^{*}$ algebras $A\subset B $, acting on the same Hilbert space $H$, and $\delta $ is a derivation from $A$ into $B$,(in this case, a derivation is a linear mapping such that $\delta(ab)=a
\delta(b)+\delta(a)b,\forall a,b \in A$) and assu... | 5 | [
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Counting Primes
January 7, 2011
We celebrate our 200th exercise by implementing the prime-counting function, which has long been of interest to mathematicians. Generally denoted by the letter π, the prime-counting function π(n)
returns the number of primes less than or equal to n; for instance, π(100) = 25. A related... | 5 | [
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Polynomial Roots
Date: 6/20/96 at 15:36:45
From: Ramon Handel
Subject: Polynomial Roots
Dear Doctor Math:
I am Ramon van Handel, a high school student in Amsterdam, the
Netherlands. I have been interested lately in finding the roots of
polynomials. I have found several methods to find their roots in
books. First of ... | 5 | [
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Get homework help at HomeworkMarket.com
Tutorial
Submitted by
glangsing
on Fri, 2013-08-02 03:51
due on Tue, 2013-08-06 03:49
answered 1 time(s)
glangsing is willing to pay $50.00
Unit 5: Mathematical Recursion - Assignment
Unit 5: Mathematical Recursion - Assignment
Total points for Assignment: 35 points.... | 4 | [
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Solve Equation
February 1st 2010, 10:21 AM #1
Junior Member
Joined
Dec 2009
Posts
46
Solve Equation
Hii !
Can You Help Me For This Equation ,
Solve in IR the Equation :
$x=a-\sqrt{a-\sqrt{x}}$
following the values of parameter a ( $a \in \mathbb{R^+}$ )
Last edited by Perelman; F... | 5 | [
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Dijkstra's Algorithm
Dijkstra’s Algorithm
January 4, 2011
We follow the implementation given in Section 24.3 of the third edition, published in 2009, of Introduction to Algorithms by Thomas Cormen, Charles Leiserson, Ronald Rivest and Clifford Stein.
(hereafter referred to as CLRS). In it, vertices are given a number... | 5 | [
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HA and HB Bridge Loading Example
HA & HB Loading Example
BS 5400 Part 2 : 2006
Clause 6.2 Type HA Loading
How do you work out the HA loading and bending moment for a bridge deck ?
Carriageway = 6m wide
Deck span = 34m (centre to centre of bearings for a simply supported single span)
Design for a metre width of deck... | 5 | [
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Solving (2x+3)^4
Date: 01/22/2001 at 04:51:30
From: Ali Sadreddini
Subject: Mathematics, Algebra
I think I have found a new way to solve a problem easily, quickly, and
in only one step.
(2x+3)^4
My answer is this:
(2x)^(4)+12*(2x)^(3)+54*(2x)^(2)+108*2x+81
but could you tell me how to find it, and how many... | 4 | [
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[SciPy-User] a routine for fitting a straight line to data
Jerome Kieffer Jerome.Kieffer@esrf...
Mon Mar 25 01:28:52 CDT 2013
On Sun, 24 Mar 2013 21:27:09 -0400
David Pine <djpine@gmail.com> wrote:
> scipy.stats.linregress does not do the job. First, it does not allow for weighting of the data, relative, absolute, ... | 4 | [
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Hyperbolic structures on once punctured tori
up vote 2 down vote favorite
I've been working on a problem about billiards in ideal hyperbolic polygons and I was thinking about how the problem for ideal quadrilaterals relates to closed geodesics on once punctured tori.
My questions have to do with constructing a genera... | 5 | [
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Power Series Representation
July 14th 2013, 07:06 PM #1
Member
Joined
Feb 2009
Posts
77
Thanks
2
Power Series Representation
I understand fully part a and b.
But for part c they just plug in 1 , why is that? Why didnt they plug in 2 or 3 because those are between -5 and 5?
Then how do they c... | 5 | [
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Infinity in a Fraction
Date: 05/13/97 at 21:44:58
From: Tovah Kerr
Subject: Pre-Calculus
I have a question on an answer to a problem. Here is the problem:
limit (n+1)^.5
n-->oo ----------
(n-1)^.5
According to my text, if you substitute infinity for n, the whole
thing becomes:
infinity
... | 4 | [
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Math Help
August 2nd 2006, 05:35 PM #1
Newbie
Joined
Jul 2006
Posts
23
Distance
A boxing ring is in the shape of a square, 33 feet on each side. How far apart are the fighters when one is in the center and the other is in the corner.
pashah
A boxing ring is in the shape of a square, 33 feet on... | 4 | [
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Number Theory Help Part 2
May 22nd 2009, 10:35 AM #1
Junior Member
Joined
Jan 2009
Posts
57
Number Theory Help Part 2
exp(p, n!) = \sum_{i=1}^{\infty} \lfloor \frac{n}{p^i}\rfloor
After getting the first formula above, please help me build the more general formula for the exponent of any particular ... | 4 | [
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Ramification in p-division fields associated to elliptic curves with good ordinary reduction
up vote 10 down vote favorite
1
Dear MO,
Let $p$ be a prime and let $E/\mathbb{Q}_p$ be an elliptic curve. Suppose that $E/\mathbb{Q}_p$ has good ordinary reduction at $p$. In his 1972 paper ``Propriétés galoisiennes des poin... | 4 | [
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Proof By Mathematical Induction - Example Help
October 16th 2007, 02:01 AM #1
Newbie
Joined
Aug 2007
Posts
21
Proof By Mathematical Induction - Example Help
hello just started school 2 days ago. and we were told to copy down some examples and there was one were i think there is a mistake but not sure.
... | 4 | [
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Examples of non-uniqueness in reaction-diffusion equations
up vote 2 down vote favorite
Consider the problem of finding a bounded classical solution $u:\mathbb{R}\times [0,T]\to\mathbb{R}$ (such that $u$ is continuous and $u_t$, $u_x$ and $u_{xx}$ exist and are continuous on $\mathbb{R}
\times (0,T]$) to a Cauchy prob... | 4 | [
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-0.122070312... | 45,426 | 45426 | |
Projectile Motion
September 5th 2010, 05:41 AM #1
Member
Joined
Jul 2009
Posts
132
Projectile Motion
Here is a problem which i encountered, and have difficulties in terms of trying to solve.
Question: A tall building stands on level ground. The nozzle of a water sprinkler is positioned point P on th... | 4 | [
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0.09912109375,
0.01507568359375,
0.024169921875,
-0.031982421875,
0.03271484375,
0.03... | 45,427 | 45427 | |
Questions about the Bernstein center of a $p$-adic reductive group
up vote 12 down vote favorite
3
Dear all,
The "Bernstein center" of a $p$-adic reductive group appears frequently in the literature of automorphic forms, often without a precise definition. For example, in page 233 of Moeglin-Waldspurger's
classic "S... | 4 | [
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Homework Help
Posted by alicia on Tuesday, February 26, 2008 at 5:44pm.
how do i solve and graph these factors
y= x(x+3)^2(x+5)
y=x(x-2)(x+0.5)(2x-1)
• algerbra 2 - Damon, Tuesday, February 26, 2008 at 6:31pm
y= x(x+3)^2(x+5)
I am not going to tell you how to graph that, but I will tell you how to sketch... | 4 | [
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... | 45,429 | 45429 | |
Coulomb's Law and Particle Repulsion
Date: 09/26/2004 at 16:43:42
From: Carlos
Subject: Calculate the force of repulsion between two electrons
Two electrons are located 0.08 picometers from each other. Calculate
the force of repulsion between them. I do not know the equation and
do not know how to do this problem.
... | 4 | [
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0.0390625,
-0.0... | 45,430 | 45430 | |
2 probability questions...
September 23rd 2010, 12:52 PM #1
Senior Member
Joined
Sep 2009
Posts
299
1. You are dealt 5 cards from a standard 52 card deck, what is the condition probability that the hand contains no pairs and no spades?
2. The probability of snow is 20%, and the probability of a traffi... | 4 | [
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-0.0... | 45,431 | 45431 | |
Example of a non-normal infinite index subgroup of a non-amenable group with certain properties.
up vote 3 down vote favorite
1
This is an improved version of my previous question, where I forgot to put one of the assumptions.
Question. Let $G$ be a finitely generated non-amenable discrete group, and $H$ be a sub... | 4 | [
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Bases
April 11th 2012, 12:47 PM
cathyharris4
Bases
i PLEASE NEED HELP WITH 4010 base five minus 1234 base 5!! please and thank you I know that the numbers add to more than five so they need to be different
April 11th 2012, 01:00 PM
a tutor
Re: Bases
I'd just use the usual method taught in schools, 'borro... | 4 | [
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0.1005859... | 45,433 | 45433 | |
Maximal Ideal
October 7th 2009, 06:56 PM #1
Junior Member
Joined
May 2008
Posts
70
Maximal Ideal
Let R = Z x Z = {(x,y)|x,y in Z}
Show that Z x 2Z is maximal in R. Where, Z x 2Z = {(x,y)| x in Z, y in 2Z}
quotient out by it you get $\mathbb{Z}_2$ which is a field, thus that ideal is maximal.
... | 5 | [
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... | 45,434 | 45434 | |
The hyperbinary sequence and the Calkin-Wilf tree
And now, the amazing conclusion to this series of posts on Neil Calkin and Herbert Wilf’s paper, Recounting the Rationals, and the answers to all the questions about the hyperbinary sequence. Hold on
to your hats!
The Calkin-Wilf Tree
First, recall the Calkin-Wilf tr... | 5 | [
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How to solve this powers problem
August 27th 2010, 07:35 PM #1
How to solve this powers problem
This equation was posted up by OnlyMath but got deleted because he posted 3 problems in 1 thread. He has not reposted it so I am because I'm curious as to how to solve it.
$\displaystyle{2(4^x) + 6^x = 9^x}$ Find ... | 4 | [
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0.0205078125,... | 45,436 | 45436 | |
Uniform Convergence of a Complex Series
January 1st 2011, 09:50 PM
roninpro
Uniform Convergence of a Complex Series
Hello. I'd like to show that the series
$\displaystyle \sum_{n=1}^\infty \frac{(-1)^n}{z-n}$
converges uniformly on any domain not containing an integer.
I'm not exactly sure how to ... | 4 | [
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GMAT Shortcut: Adding to the Numerator and Denominator
First, try these practice DS questions:
1) If x and y are positive integers, is
Statement #1: y > 20
Statement #2: x < 5
2) If x and y are positive integers, is
Statement #1: y = 5
Statement #2: x > y
Throughout this post, assume that I am talking about positi... | 4 | [
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Einstein's Theory
May 17th 2008, 08:52 AM
jules027
Einstein's Theory
Einstein's theory of relativity predicts that a body of mass m0 at rest has mass: m = m0/√(1-(v^2/c^2)) , where c is the velocity of light and v is the velocity of the body.
Use a series to obtain the approximation: mc^2 ≈ m0c^2 + 1/2m0v^2
... | 5 | [
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... | 45,439 | 45439 | |
Two Masses Attached to a Spring
Date: 12/27/2000 at 11:14:20
From: Gary Cunningham
Subject: Behavior of springs and masses in a gravitational field
A friend proposed the following, but I can't seem to get the math to
prove him wrong even though my intuition tells me he is wrong.
Two masses are attached to either en... | 5 | [
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Embeddings of Weighted Banach Spaces
up vote 5 down vote favorite
3
Let be $d$ a positive integer, $\Omega=\mathbb{R}^{\mathbb{Z}^d}$ and fix $R\geq 2$. We define weighted Banach spaces
$$ \Omega_p:=\left\{ x\in \Omega\left| \left[\sum_{i\in\mathbb{Z}^d}\frac{|x_i|^R}{(1+|i|)^p}\right]^{\frac{1}{R}} < \infty\right. \... | 5 | [
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2.25
2.25 Problem Sets - Section 5
Problem 5.11: Air Cushion Vehicle
Previous Problem | Next Problem
The sketch (a) shows the cross-section of an air cushion vehicle of the "peripheral jet" type, first developed by Christopher Cockerell in the mid-1950s. A fan draws air from the ambient atmosphere
at pressure p[a] ... | 4 | [
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Characterizing Posets by Functions Into Natural Numbers
up vote 2 down vote favorite
1
Let $P$ be a poset and denote by $Hom(P, \mathbb N)$ the set of all monotone functions from $P$ to natural numbers $\mathbb N$. Under what conditions on $P$ Is it possible to recover the order on $P$
from the knowledge of $Hom(P, \m... | 4 | [
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... | 45,443 | 45443 | |
Are smooth functions on an uncountable sum continuous?
up vote 5 down vote favorite
4
Consider the linear space $\sum_{\mathbb{R}} \mathbb{R}$. As in the Frolicher-Kriegl-Michor view, we make this into a Frolicher space as follows.
1. Equip it with the locally convex topology of the colimit. Specifically, it is give... | 4 | [
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Complex numbers in this form: re^(a+bi) to polar form (r,thea)
July 27th 2012, 01:21 PM #1
Newbie
Joined
May 2012
From
Montreal
Posts
12
Complex numbers, what are the values of r and theta?
Write in the polar form
a)
I know that I should use this: (e^a)(cosb+isinb)
Which is: (e^4)(cos1+i... | 5 | [
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M-Set Derivatives
One way of coloring the inside of the M-set is to work with the the various derivatives that describe the 'flow' of Z[n]. These images are all based on the computation of the derivative of Z[n] with
respect to c. The expression for this is simple: Z'[n+1] = dZ[n+1]/dc = 2 * Z[n] * Z'[n] + 1, which mu... | 4 | [
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0.000579833984375,
-0.06396484375,
0... | 45,446 | 45446 | |
rearrange the following equation to find x in terms of y and t, in simplest form.
( assume that 3y - t # 0.) t(t-x) = 3y(3y-x)
In cases like this, where you want to express a variable, or a group of variables, in terms of the other variables, you just isolate the said variable, or the said group of variables. For your... | 4 | [
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-... | 45,447 | 45447 | |
Selecting k sub-posets
up vote 2 down vote favorite
1
I ran into the following algorithmic problem while experimenting with classification algorithms. Elements are classified into a polyhierarchy, what I understand to be a poset with a single root
("largest" element), please correct me if I am mistaken. I have to solv... | 4 | [
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0.041259765625,... | 45,448 | 45448 | |
Counting problem (number of permutations)
September 29th 2012, 09:57 AM
SlipEternal
Counting problem (number of permutations)
Let's say I have $n$ objects, each with a number from 1 to 5 printed on them. There are $r_i$ objects with the number $i$ printed on them for $i=1,2,3,4,5$. These objects are otherwise
... | 4 | [
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-0.076... | 45,449 | 45449 | |
Distance Estimated 3D Fractals (III): Folding Space
The previous posts (part I, part II) introduced the basics of rendering DE (Distance Estimated) systems, but left out one important question: how do we create the distance estimator function?
Drawing spheres
Remember that a distance estimator is nothing more than a... | 4 | [
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-0.047... | 45,450 | 45450 | |
Inequality
October 7th 2008, 09:21 AM #1
Inequality
If x,y and z are non-negative reals prove that:
$\frac{\frac{x \sqrt y + y \sqrt z + z \sqrt x}{3} + \frac{y \sqrt x + z \sqrt y + x \sqrt z}{3}}{2} \le \sqrt{\left(\frac{x+y}{2}\right) \left( \frac{y+z}{2} \right) \left(\frac{z+x}{2}\right)}$
Looks li... | 5 | [
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Is there an explicit formula for $\sum x^n/(n!)^2$?
Take the 2-minute tour ×
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Let $f(x)=\sum_{n\geq 0}\frac{1}{n!n!}x^{n}$, is there an explicit formula for $f(x)$?
co.combinatorics
add comment
... | 5 | [
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0.028076171875,
0.... | 45,452 | 45452 | |
volume/depth question??
February 24th 2010, 12:07 AM #1
Newbie
Joined
Feb 2010
Posts
1
volume/depth question??
how do you calculate the depth?
QUESTION:
A water trough has a uniform cross section in the shape of half an ellipse. The width of the trough is 80 cm and the areas of its cross section... | 4 | [
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0.008... | 45,453 | 45453 | |
Integrating 1 + 16x^2
1. February 16th 2011, 09:00 PM #1
Integrating 1 + 16x^2
Last edited by mr fantastic; February 16th 2011 at 11:13 PM.
2. February 16th 2011, 09:14 PM #2
Have you tried a trig sub?
3. February 16th 2011, 09:19 PM #3
4. February 16th 2011, 09:36 PM #4
What... | 5 | [
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0.0279541015625,
... | 45,454 | 45454 | |
Bounding the discrete l2 norm for polynomials.
up vote 3 down vote favorite
2
Given the polynomial space $\Pi_d^n$ which contains all the d-variable polynomials of degree up to $n$ and some scattered points $X\subset \Omega\subset\mathbb{R}^d$ ($\Omega$ is an open subset).
Since $\Pi_d^n$ is finite dimensional space ... | 4 | [
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0.002166748046875,
-0.0986328125,
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0.0302734375,
0.0279541015... | 45,455 | 45455 | |
Solving Radical Expressions
Date: 07/26/98 at 14:03:05
From: sherri
Subject: Radical expressions
I am having problems solving radical expressions. For example, how do
you solve the cube root of 32 minus the cube root of 108? What about
2 times the cube root of 125 minus 5 times the cube root of 64?
Please help!
D... | 4 | [
-0.00616455078125,
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0.0311279296875,
0.012939453125,
0.058349609375,
0.054931640625,
0.06787109375,
-0.1005859375,
0.098632... | 45,456 | 45456 | |
Which Sigma-Ideals in a Sigma-Algebra are Ideals of Null Sets?
up vote 7 down vote favorite
3
My question is motivated, to be somewhat vague, by an attempt to see how much a measure space is defined by the set of null sets. In other words, assume we are not given a concrete measure on a space
but are just told which s... | 4 | [
0.00640869140625,
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0.072265625,
-0.0220947265625,
-0.044189453125,
0.07080078125,
0.056884765625,
-0.0260009... | 45,457 | 45457 | |
Choosing Factors When Integrating by Parts
Date: 10/08/2003 at 21:23:52
From: Consuelo
Subject: Integration by parts
I use integration by parts to find
1
/
| (r^3)/[(4+r^2)^(1/2)] dr
/
0
What I find most difficult is finding u, v, du, and dv.
I tried separating the integral by making one simple integral... | 5 | [
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0.06591796875... | 45,458 | 45458 | |
The functoriality of group C* algebra structure
up vote 6 down vote favorite
3
Hi! Let G,H be discrete groups and f:G->H be any homomorphism of these groups. I have three questions about it:
1) how to prove the functoriality of the construction of universal C*-algebra of discrete group (the existence of induced homom... | 4 | [
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Mass-Charge Relation for the electron
Mass-charge relation for the electron
(on electromagnetism, gauge invariance and the electric charge)
The results reported in this ... | 4 | [
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... | 45,460 | 45460 | |
Raising Sqrt(2)
Date: 10/14/97 at 18:49:15
From: Benno
Subject: Algebra
Dear Dr. Math,
What is the value of x in the following equation:
....
x
x
x
x
x = 2
Thank you.
Benno
Date: 10/14/97 at 19:15:09
From: Doctor Tom
Subject: Re: algebra
There's a tr... | 4 | [
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-... | 45,461 | 45461 | |
Analysis of wind speed data and wind energy potential in three selected locations in south-east Nigeria
Abstract
In this study, the wind speed characteristics and energy potential in three selected locations in the southeastern part of Nigeria were investigated using wind speed data that span between 24 and 37
years a... | 4 | [
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-0.045410156... | 45,462 | 45462 | |
denumerable sets
December 13th 2008, 03:29 PM #1
Newbie
Joined
Dec 2008
Posts
3
denumerable sets
ok im confused on how to start with this
we had previously proved that A is a denumerable set and x is an element not in A, then A union {x} is also deumerable.
Prove that if S = {x1, x2, ...,xn} is a... | 5 | [
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... | 45,463 | 45463 | |
"Total" EH - incorporating different damage types into EH
Moderators: Fridmarr, Worldie, Aergis, theckhd
Not to heap even more on your plate, Theck, but I'm wondering if we could also figure out what the crossover points in terms of magic damage between Flask of Stoneblood (1300 hp), Lesser Flask of
Resistance (+50 re... | 4 | [
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0.0942... | 45,464 | 45464 | |
Box-and-Whisker Plots: Interquartile Ranges and Outliers
Box-and-Whisker Plots:
Interquartile Ranges and Outliers (page 3 of 3)
Sections: Quartiles, boxes, and whiskers, Five-number summary, Interquartile ranges and outliers
The "interquartile range", abbreviated "IQR", is just the width of the box in the box-and-whi... | 4 | [
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-0.004852... | 45,465 | 45465 | |
Math Help
1. November 12th 2006, 12:07 PM #1
2. November 12th 2006, 12:27 PM #2
$X \cdot \left ( \begin{array}{cc} 3 & -1 \\ 2 & 4 \end{array} \right ) - \left ( \begin{array}{cc} -5 & 2 \\ 6 & 3 \end{array} \right ) = \left ( \begin{array}{cc} -2 & -9 \\ -5 & -22 \end
{array} \right )$
... | 5 | [
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search results
Expand all Collapse all Results 26 - 50 of 50
26. CMB 2010 (vol 53 pp. 667)
On the Endomorphism Rings of Local Cohomology Modules
Let $R$ be a commutative Noetherian ring and $\mathfrak{a}$ a proper ideal of $R$. We show that if $n:=\operatorname{grade}_R\mathfrak{a}$, then $\operatorname{End}... | 4 | [
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-0.0830078125,
0.06176757812... | 45,467 | 45467 | |
Can the isoperimetric dimension of a d-generated group attain any value?
up vote 2 down vote favorite
Background
The isoperimetric dimension of a finitely generated group $G$, which we denote by $\dim(G)$, is the largest number $d$ such that any Cayley graph $\Gamma$ of $G$ (constructed with respect to a finite
gener... | 4 | [
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0.03125,
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0.01409912109375,
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0.003936767578125,
0.022... | 45,468 | 45468 | |
Marey's problem: Generating all prime numbers in $[n_1,n_2]$
up vote 6 down vote favorite
1
Is there are some references to algorithms that generate the set of prime numbers located between two given numbers n[1] and n[2]?
I would like to consider the cases when n[1] is large while n[2]-n[1] is small or while n[2]-n[... | 5 | [
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0.056396484375,
-0.00628662109375,
-0.01055908203125... | 45,469 | 45469 | |
Homework Help
Posted by Jane on Tuesday, April 2, 2013 at 1:37pm.
Simplifying Radicals
A gardener is mowing a 20-yd-by-40 yd rectangular pasture using a diagonal pattern. He mows from one corner of the pasture to the cxorner diagonally opposite. What is the length of this pass with the
mower? Give your answer in simp... | 4 | [
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... | 45,470 | 45470 | |
Proof of n^5 = n mod 5 .. is this correct?
November 9th 2006, 04:27 PM #1
Newbie
Joined
Oct 2006
Posts
4
Proof of n^5 = n mod 5 .. is this correct?
I am not sure if this is a legit thing to do, so a second opinion would be nice .. also if u see any better/easier ways to do it, please let me know:
Pr... | 5 | [
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0.064941406... | 45,471 | 45471 | |
Summing a complex series
July 28th 2009, 06:55 AM #1
Member
Joined
May 2008
Posts
101
Summing a complex series
Hi, here is a problem involving summing a series involving a complex equation.
Sum this series:
$a_1 + a_2 + ... + a_{99}$
where $a_n = \frac{1}{(n + 1)\sqrt{n} + n\sqrt{n + 1}}$ f... | 5 | [
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0.05615234375,
-0.054443359375,
-0.055908203125,
0.053955078125,
-0... | 45,472 | 45472 | |
inequality
Small advice @ mulfer:please learn LATEX We have to prove: $a^2+b^2+c^2 \geq a+b+c$ It is equivalent to proving: $a^2+b^2+c^2-a-b-c \geq 0$ $\implies a(a-1)+b(b-1)c(c-1) \geq 0$ So we are done if we
are able to prove this. now, if $x$ is a positive real number, if $x>1$ then $x(x-1)>(x-1)$ (obvious) if $x=1$... | 5 | [
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0.032958984375,
-0.033447265625,
0.024658203125,
0.03515625,
-0.0234375,
-0.0101... | 45,473 | 45473 | |
Potts model and Monte Carlo Slow Down
June 22, 2010 at 12:24 am (markov chain, Monte Carlo, probability)
Tags: Ising, MCMC, Metropolis, Monte Carlo, Potts model
A simple model of interacting particles
The mean field Potts model is extremely simple: there are ${N}$ interacting particles ${x_1, \ldots, x_N}$ and each ... | 4 | [
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0.0113525390625,
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-0.04541015625,
0.06396484375,
... | 45,474 | 45474 | |
Calc 3 Need help to calculate distance in 3-space
September 27th 2012, 06:20 PM #1
Junior Member
Joined
Apr 2010
Posts
29
Calc 3 Need help to calculate distance in 3-space
Hey need some help with some questions
1.)Consider the points P = (3,-1,2) , Q=(4,1,-5) , and R=(-1,3,3).
a. Compute the di... | 4 | [
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-0.006378173828125,
-0.01055908203125,
-0... | 45,475 | 45475 | |
What is a Partial Fraction?
Date: 01/08/99 at 06:57:16
From: Axel Ishmael
Subject: What is a Partial Fraction: Polynomial?
Hello,
I was just surfing the Net for math, and I saw this definition in
Webster's Dictionary on-line:
Main Entry: partial fraction
Function: noun
Date: 1816
One of the simpler fractions into... | 4 | [
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0.059814453125,
-0.02... | 45,476 | 45476 | |
complexity
Measuring Performance of Algorithms
There are two aspects of algorithmic performance:
• Time
- Instructions take time.
- How fast does the algorithm perform?
- What affects its runtime?
• Space
- Data structures take space
- What kind of data structure... | 5 | [
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-0... | 45,477 | 45477 | |
Re: [Axiom-developer] severe (!) bug in normalize
[Top][All Lists]
[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
Re: [Axiom-developer] severe (!) bug in normalize
From: Martin Rubey
Subject... | 4 | [
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Tricky limit
April 14th 2010, 02:15 AM #1
Tricky limit
Hi all,
I'm trying toevaluate the following limit;
limit as n --> oo (n-1)*(1/2)^(n-1)
My intuition tells me that it should be zero because (1/2)^(n-1) approaches zero faster than (n-1) approaches infinity...but I'm not sure how to show this ri... | 5 | [
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0.0306396484375,
0.01385498046875,
0.01147460... | 45,479 | 45479 | |
negative fractional exponents and logarithms
February 23rd 2010, 12:47 PM #1
negative fractional exponents and logarithms
I have a two questions I need a hand with, both of which I think I have a handle on but, as usual, would like to make sure of.
1:
Solve the equation.
$2x^{-\frac{1}{2}}=8$
Wor... | 4 | [
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0.07470703125,
-0.0400390625,
-0.012573242... | 45,480 | 45480 | |
6
6.5.4 Center Problems
Example 17: Locating a Firehoase in a Ruwral Area
Consider the graph shown on Figure 6.37 which depicts a rural area with five towns, shown as nodes A through E, connected by a rather sparse transportation network with link lengths in miles also
indicated. Town populations in thousands are lis... | 5 | [
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0.004150390625... | 45,481 | 45481 | |
Find t (in seconds)
August 4th 2008, 02:29 AM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Find t (in seconds)
The equation governing the amount of current I (in amperes) after time t (in seconds) in a simple RL circuit consisting of a resistance R (in ohms), an inductance L (in henrys) an... | 4 | [
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-0.0390625,
-0.0069885253906... | 45,482 | 45482 | |
Implicit Differentiation
January 10th 2010, 04:09 PM #1
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Implicit Differentiation
I don't really know how to do implicit differentiation. Could you show me how to do it with the equation y-sin(xy)=x ² ? Thanks!
I assume the main trouble is to get $\frac{d \sin (xy) }{d... | 4 | [
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Examples, Sound Waves: Stationary Wave, Interference, Doppler Effect
SOUND WAVES EXAMPLES
Exercise 1: Doppler Effect.
The Doppler effect is used with ultrasonic waves of frequency f[s] = 2.25x10^6 Hz to watch the beat of a fetus's heart. A maximum pulsation frequency of 600 Hz is detected. Assuming the sound
velocity ... | 4 | [
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How to calculate partition function of a QFT by summing over irreducible representations of the symmetry group?
up vote 5 down vote favorite
2
By definition computing the partition function of a QFT amounts to doing a Feynman Path Integral exactly. At a schematic level I can see why this can become a question of summ... | 5 | [
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Linear algebra: Prove the matrix having elements a_ij is invertible.
June 14th 2008, 02:11 PM #1
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Jun 2008
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54
Linear algebra: Prove the matrix having elements a_ij is invertible.
Prove the following theorem:
If $t_1, t_2, ..., t_n$ are distinct points in an interval $[a,b]$... | 5 | [
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Ramsey theory and Fermat's Last Theorem
Ramsey theory and Fermat’s Last Theorem
October 13, 2010 by Qiaochu Yuan
In the first few lectures of Graph Theory, the lecturer (Paul Russell) presented a cute application of Ramsey theory to Fermat’s Last Theorem. It makes a great introduction to the general process of
castin... | 5 | [
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GiggleSquid Group Title
convert the ellips... | 4 | [
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Can a homotopy inverse of the map from a Lie group to loops on its classifying space be given by holonomy?
up vote 11 down vote favorite
6
Let $G$ be the compact Lie group $SO(n)$. There are some classical constructions of the classifying bundle of $G$ based upon on direct limits of Grassmann and Stiefel manifolds:
... | 5 | [
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Lipschitz equivalence of Riemannian metrics
up vote 2 down vote favorite
2
Suppose $M$ is a parallelizible Riemannian manifold with metric tensor $g_x(\cdot,\cdot)$ Let $F_x(\cdot,\cdot)$ denote the flat metric on $M$ that we get from parallelization. Is it true that there
exist c, C such that for any $x$ and $v$ in $... | 4 | [
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Applications Using Rational Equations
12.13: Applications Using Rational Equations
Created by: CK-12
Practice Applications Using Rational Equations
What if you took an airplane trip? The current of the jet stream is 100 miles per hour. It took you the same amount of time to travel 3000 miles without the jet stream a... | 4 | [
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consevative field hep
July 18th 2013, 04:14 PM #1
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consevative field hep
Hello, please help.cheers
Let G =2xyzi+(x^2z+2y)j+(x^2y-2z)k
calculate ∇xG and show that G is conservative field Find the work done by G:
around the closed curve x²+y²=1 ... | 4 | [
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Computer Science Archive | October 20, 2006 | Chegg.com
Computer Science Archive: Questions from October 20, 2006
• Anonymous asked
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In this excercise, we will look ... | 4 | [
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Solving a radical equation
May 6th 2011, 11:51 PM #1
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Joined
May 2011
Posts
24
Solving a radical equation
I am not too sure on how to actually solve this radical equation been stuck on it for a while the equation is:
\sqrt{2x+6} - \sqrt{x+4} =1
any help would be awesome
thanks in adva... | 4 | [
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Cantor's diagonal proof
Cantor’s diagonal proof
There’s a riddle about a library where the index had two parts, each in its own book. The first index book listed every book whose title appeared between its own covers; nearly every book in the
library was listed in this index, since the title is typically on the title ... | 5 | [
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[SOLVED] Help me find this differential
May 27th 2009, 07:09 PM
Khonics89
[SOLVED] Help me find this differential
This is the question-
part a) let g(x,y)= root (x^2-y^2)
find the differential dg of g
[ my answer is dg= x(dx)/root(x^2-y^2) - y(dy)/root(x^2-y^2)
where dx is the small change an... | 4 | [
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sequence question !
October 30th 2009, 06:02 PM #1
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172
sequence question !
Let S be a nonempty bounded above subset of R . prove that there is a sequence $x_n \subseteq S$ of elements of S that converges to sup S
Let $s=\sup S.$ Then $\forall\,n\in\mathbb N,$$\exists\,x_... | 4 | [
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solutions of systems of linear equation
June 20th 2006, 02:54 AM #1
beauty13
Guest
solutions of systems of linear equation
i just want to know the graphical solution and the system of equation of these given numbers: x-2y=5 and 5x-10y=25
also this numbers: 5x-y=6 and x+y=-4
and also this: 2x-y=5 and x+y... | 4 | [
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Newton's Method
November 10th 2010, 08:33 PM #1
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Mar 2010
Posts
150
Newton's Method
I'm working on two problems that I need help on.
(1) The radius of a circle is to be measured and its area computed. If the radius can be measured to an accuracy of 0.001 in and the area must be accurate... | 5 | [
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