content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
A186202 - OEIS
A186202 The maximal set of disjoint prime cycle permutations on n elements which generate unique subgroups of S(n). 4
0, 1, 4, 13, 41, 151, 652, 2675, 10579, 59071, 711536, 6180307, 76629775, 873676259, 7496233396, 49493077951, 1571673343007, 24729597043375, 584039297226784, 8662254974851091, 8757084... | 4 | [
-0.09375,
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0.011962890625,
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0.061767578125,
0.03369140625,
-0.0830078125,
-0.040771484375,
0.01177978515625,
0.022705078125,
-0.03759765625... | 45,600 | 45600 | |
Partial differentiation
April 4th 2010, 02:42 AM
vuze88
Partial differentiation
Suppose that f is a differentiable function of a single variable and $F(x,y)$ is defined by $F(x,y)=f(x^2-y)$.
Show that $F$ satisfies the partial differential equation $\frac{\partial F}{\partial x}+2x\frac{\partial F}{\partial... | 5 | [
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0.027587890625,
0.0703125,
0.0478515625,
-0.059814453125,
-0.03112792968... | 45,601 | 45601 | |
Numbers - Signed Integers - In DepthThe Language of Algebra - Order of operations - In Depth
When an expression contains more than one operation, you can get different answers depending on the order in which you solve the expression. Mathematicians have agreed on a certain order for
evaluating expressions, so we all ar... | 4 | [
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0.0795898... | 45,602 | 45602 | |
finding constants of function
August 21st 2009, 08:08 AM #1
Senior Member
Joined
Nov 2008
Posts
425
finding constants of function
The function f(x)=ax^3+bx^2+cx+d has turning point (2, -4) and cuts the y axis at (0, 2). Find constants a, b, c, and d.
can someone check my work please?
a=0
b=... | 4 | [
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0.016845703125,
0.01470947265625,
0.039794921875,
-0.099609375,
-0.009582... | 45,603 | 45603 | |
Finding the determinant of a matrix with LU composition
up vote 0 down vote favorite
Hi Mathoverflow
I hope you bear with me that my linear algebra knowledge is a little rusty, but I have a question that might potentially very easy to answer. Nevertheless it's been bugging me for a good 3 hours now.
I'm trying to fi... | 5 | [
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0.0498046875,
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-0.02734375,
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0.07763671875,
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-0.06884765625,
0.0272216796875,
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0.031982... | 45,604 | 45604 | |
Linear maping, maybe?
May 14th 2008, 07:51 AM #1
Linear maping, maybe?
Let $S: R^3 -> R^2$ and $T:R^2 -> R^3$ be defined by
$S(x_1, x_2, x_3) = (x_2 + x_3, x_1)$, $T(x_1, x_2) = (x_2, x_1, x_1 + x_2)$
Find expressions for ST and TS.
Any help please?
Hello,
Are you looking for the composit... | 4 | [
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0.0400390625,
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0.059... | 45,605 | 45605 | |
Integral Representations for Analytic Functions
Module
for
... | 5 | [
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-0.01116943359... | 45,606 | 45606 | |
Parabola: finding the a and q values
May 3rd 2010, 09:56 AM #1
Newbie
Joined
May 2010
Posts
1
Parabola: finding the a and q values
I need help with finding the a and q values if the defining equation f is f(x)= ax^2 + q
with the x and y values being (-3;6) and (3;6)
x y x y
How would u go a... | 4 | [
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0.03466796875,
-0.099609375,
-0.088867187... | 45,607 | 45607 | |
Pure Mathematics problems
October 28th 2012, 06:54 AM #1
Newbie
Joined
Oct 2012
From
Brighton
Posts
1
Pure Mathematics problems
Hi my names jacob and im having some problems with these questions, just wondering if anyone can help???
(fraction in lowest terms). Let r 2 Q.
(a) Prove that
... | 4 | [
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0.00927734375,
... | 45,608 | 45608 | |
Partial Fractions/ Integration
December 13th 2010, 07:45 AM #1
Junior Member
Joined
Jul 2009
From
Singapore
Posts
47
Partial Fractions/ Integration
Good Day,
I'm faced with a partial fractions and integration problem I've attached. I got the partial fractions part right.But I just can't get the ... | 5 | [
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-0.0397949218... | 45,609 | 45609 | |
Irreducibility of fibers vs. irreducibility of fibered product
up vote 2 down vote favorite
Let $f:X\to Y$ be a morphism of algebraic varieties over an algebraically closed field $k$ (I am ready to assume that $f$ is a smooth morphism, but that should not be necessary). I want to check that
the generic fiber of $f$ is... | 5 | [
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xpand
You are currently browsing the tag archive for the ‘Expanders’ tag.
Where you least expect them:
a common [definiton] for “population” is a geographical cluster of people who mate more within the cluster than outside of it
Readers of in theory have heard about Cheeger’s inequality a lot. It is a relation b... | 4 | [
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-... | 45,611 | 45611 | |
Stability Analysis of Some Population Models With Time Delay and Harvesting
Toaha, Syamsuddin (2006) Stability Analysis of Some Population Models With Time Delay and Harvesting. PhD thesis, Universiti Putra Malaysia.
Abstract
This research presents the development and extension of some models for the growth rates of ... | 4 | [
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Prime elements in integral domains
March 13th 2013, 10:57 PM
Bernhard
Prime elements in integral domains
In Dummit and Foote, Section 8.3 on Unique Factorization Domains, Proposition 10 reads as follows:
Proposition 10: In an integral domain a prime element is always irreducible.
The proof reads as fol... | 4 | [
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Find Length of Rubber Band
December 1st 2013, 07:40 AM
nycmath
Find Length of Rubber Band
If you wrap a rubber band around a ball 10 cm in diameter, then lift the band 1 cm off the ball all the way around, the band will be 6.28 cm longer. Now repeat the experiment around the earth
(radius = 6.378 km), again ... | 4 | [
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0.... | 45,614 | 45614 | |
Math Forum Discussions - Re: Quadruple with (a, b, c, d)
Date: Feb 2, 2013 11:33 PM
Author: mina_world
Subject: Re: Quadruple with (a, b, c, d)
"mina_world" wrote:
>
>Hello teacher~
>
>Suppose not all four integers a, b, c, d are equal.
>Start with (a, b, c, d) and repeatedly replace (a, b, c, d)
>by (a-b, b-c, c-d, d... | 5 | [
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5 How to Count
Now let's use the rotation numbers to investigate the arrangement of the bulbs around the main cardioid. This is one of the main experiments performed in the chaos club. The idea is to use the
computer to determine experimentally the location of the p/q bulbs for q between 2 and 7. A number of these are ... | 4 | [
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Rank of a random matrix
up vote -1 down vote favorite
1
Let $x$ a random Gaussian vector of size $n$ with i.i.d coefficients $N(0,1)$. Let $J$ a random matrix with i.i.d coefficients $N(0,\sigma^2/n)$ where $\sigma \in [0,1]$. For any integer T>n, define:
$$R_T=\sum_{k=0}^T (J^k x)(J^k x)'$$ where $A'$ denotes the tra... | 5 | [
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0.03979492... | 45,617 | 45617 | |
Explicit Spin Structures on the Torus
up vote 8 down vote favorite
4
Basically, I am trying to build explicit examples of Dirac operators. To this end, I'm looking at the surface E = C/(Z + λZ) - for some λ in H \ SL(2,Z) - with the Euclidean metric and the flat
connection. The, since the torus has genus 1, there are ... | 4 | [
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Using Clonal Selection Algorithm to Optimal Placement with Varying Number of Distributed Generation Units and Multi Objective Function
Shahryar Tamandani^1, Majid Hosseina^2, Mohammad Rostami^2, , Amir Khanjanzadeh^1
^1Department of Engineering, Institute of Higher Education, Allameh Mohaddes Nouri, Nour, Iran
^2Dep... | 4 | [
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0.05004882... | 45,619 | 45619 | |
Find the distribution
November 23rd 2009, 10:03 AM #1
Find the distribution
Hi
Problem:
Let $M(t), t\geq 0$ be a Poisson process with rate $\lambda$.
For $t \geq 0$ define $Y(t)=(-1)^{M(t)}$
Compute the distribution and the expected value of $Y(t)$ for $t > 0$ .
I have calculated the pro... | 5 | [
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0.075... | 45,620 | 45620 | |
12
6.4.12 Single-Depot VRP
We shall examine next the following version of the vehicle routing problem. Let there be n demand points in a given area, each demanding a quantity of weight Q[i] (i = 1, 2, . . . , n) of goods to be
delivered to it (goods are assumed indistinguishable but for their weight). The goods in que... | 5 | [
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0.019775390625,
-0.... | 45,621 | 45621 | |
Math Forum Discussions
Maury Barbato
Posts: 791
From: University Federico II of Naples
Registered: 3/15/05
Re: Polynomials' Zeros
Posted: Apr 23, 2013 1:58 PM
David C. Ullrich wrote:
> On Tue, 23 Apr 2013 09:52:05 -0700 (PDT),
> sputarospo@alice.it wrote:
>
> >Hello,
> >I have the following question.
> >Let P(X_1,..... | 5 | [
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Larger cycle than 4, 2, 1 in Collatz iteration?
up vote 4 down vote favorite
3
(Here I discuss the Collatz problem only for positive integers.)
It is possible, by computation, to find all cycles in the Collatz iteration of a fixed length.
It is clear that an increase must be followed by a decrease (for if $n$ is odd, ... | 4 | [
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... | 45,623 | 45623 | |
Inflection Points
(This is a continuation of Local Maximums and Minimums. It is recommended that you review the first and second derivative tests before going on.)
Inflection points are where the func... | 4 | [
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0.0546875,
0.05078125,
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0.... | 45,624 | 45624 | |
Standard form & Graphing
January 25th 2009, 05:32 AM
AlgebraicallyChallenged
Standard form & Graphing
Good morning forum I need some assistance with the following question:
Put the equation x2 + y2 + 8x + 2y = 29 into standard form and sketch the graph of the equation.
Thanks AC
January 25th 2009, 05:... | 4 | [
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-0.05102539... | 45,625 | 45625 | |
Log problem
The solutions to $(log_3x)^2-3log_3x-4=0$ are $x\:=\:,$ No clue how to work with logs...
To solve this first, take this as a normal quadratic. If we replace $log_3x$ with $Y$, we get: $Y^2 - 3Y - 4=0$ Solving this for $Y$ gives you $Y = (-1,4)$. If we replace $Y$ with $log_3x$, we get
the following two equ... | 4 | [
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FEM on a Laplacian
up vote 3 down vote favorite
1
Hi, In every textbook and at school, one can see the following way to solve for a Poisson equation using FEM:
- (1) start with $\Delta u = b$
- (2) obtain the weak formulation : $\int \Delta u~v~dx = \int b~v~dx$
- (3) integrate by parts to get : $-\int \nabla u \nabla... | 4 | [
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0.0040283203125,
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0.06201171875,
-0.0106201171875,
-0.035400390625,
0.... | 45,627 | 45627 | |
A Study on New Sequence of Functions Involving
A Study on New Sequence of Functions Involving
Praveen Agarwal^1, , Mehar Chand^2, Saket Dwivedi^3
^1Department of Mathematics, Anand International College of Engineering, Jaipur, India
^2Department of Mathematics, Fateh College for Women, RampuraPhul, Bathinda, India
... | 5 | [
-0.09033203125,
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0.00701904296875,
-0.0164794921875,
-0.03466796875,
-0.01348876953125,
-0.05859375... | 45,628 | 45628 | |
Anchor Shank Strength for Lateral Applied Loads
BACKGROUND
In response to a Cuisers Forum thread regarding shank strength, we promised to provide an assessment on how Mantus compared to the competition.
First it is important to note, this load case is NOT an everyday occurrence.
The challenge was to assume the follo... | 5 | [
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solutions for k values
January 8th 2010, 05:47 PM #1
solutions for k values
show that (k+1)x^2 -2x -k = 0 has a solution for all values of k.
i used b^2-4ac=0
i ended up with k=-2, not sure what the step is next
thanks
Hello, smmmc!
Show that $(k+1)x^2 -2x -k \:=\: 0$ has a solution for a... | 4 | [
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-0.024780... | 45,630 | 45630 | |
Why is the integral of the second chern class an integer?
up vote 10 down vote favorite
2
I'm currently reading the paper "Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase" by Barry Simon.
Imagine a vector bundle with a connection $\nabla$. For simplicity, we assume that this is a $U(1)$ vector bundle. Para... | 4 | [
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0.046875... | 45,631 | 45631 | |
One-Variable Optimization Problem
up vote 0 down vote favorite
$W_{opt}=\arg \{\max(\pi_0 F_{L_0}(W)-\frac{\pi_1}{W}\int_0^W F_{L_1}( \alpha )d \alpha )\}$
subject to $\quad \int_0^W F_{L_0} (\alpha)d\alpha <\xi$
We should find analytically the optimal $W >0$ which maximize the first equation subject to the second e... | 5 | [
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-0.029296875,
-0.01... | 45,632 | 45632 | |
Math questions from ACT
May 31st 2009, 04:11 PM #1
Junior Member
Joined
Jan 2008
Posts
53
Math questions from ACT
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
The sales price of a car is $12,59... | 4 | [
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0.00296020507... | 45,633 | 45633 | |
Which p-adic numbers are also algebraic?
up vote 13 down vote favorite
9
What is $\mathbb{Q}_p \cap \overline{\mathbb{Q}}$ ?
For instance, we know that $\mathbb{Q}_p$ contains the $p-1$st roots of unity, so we might say that $\mathbb{Q}(\zeta) \subset \mathbb{Q}_p \cap \overline{\mathbb{Q}}$, where $\zeta$ is a primi... | 4 | [
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-0... | 45,634 | 45634 | |
Predictor - corrector method
Next: Nose-Hoover algorithm Up: POINT DEFECTS, LATTICE STRUCTURE Previous: Summary and conclusions
Amongst the different versions of integrators, the predictor-corrector ( PC ) [54-56], method was chosen for our simulations. The goal is to solve the second order ordinary differential e... | 4 | [
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0.011962890625,
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CS276 Lecture 7: Message Authentication
Scribed by Mark Landry
Summary
Today we start to talk about message authentication codes (MACs). The goal of a MAC is to guarantee to the recipient the integrity of a message and the identity of the sender. We provide a very
strong definition of security (existential unforgeabi... | 5 | [
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Asymptotics of partitions in at most n parts, bounded by r
up vote 3 down vote favorite
I posted this question on MathStackexchange (http://math.stackexchange.com/questions/639878/asymptotics-of-partitions-in-at-most-n-parts-bounded-by-r) some time ago, but it did not receive any
answer, so that I thought of reposting... | 4 | [
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Linear Maps and Kernels
October 25th 2010, 02:16 PM #1
Newbie
Joined
Oct 2010
Posts
21
Linear Maps and Kernels
I need some help with a question. Can anyone give me a hint to start? I'm lost
Let V be a vector space and S,T are in the set of linear maps from V to V. Show that if ST=TS, then S(Ker T) i... | 4 | [
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0.08... | 45,638 | 45638 | |
Math Forum Discussions
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Math Forum » Discussions » sci.math.* » sci.math.independ... | 4 | [
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-0.06884765625,
-0.062255... | 45,639 | 45639 | |
Precise definition of limits
September 3rd 2007, 06:22 AM #1
Newbie
Joined
Sep 2007
Posts
6
Precise definition of limits
Does anyone knows how to show:
limit of f(x), x approaches a, equals L
if and only if
limit of f(x), x approaches a from the right = to limit of f(x), x approaches a fro... | 4 | [
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0.024169921875,
-0.0693... | 45,640 | 45640 | |
Show that the tangent.....
February 26th 2010, 03:48 PM #1
Show that the tangent.....
Show that the tangent to P: y= ax˛ + bx + c with gradient of m has a y-intercept
C – ( (m – b)˛/4a )
My thoughts is that the firstly I would differentiate to get
y' = 2ax + b
then well I am not sure of the be... | 4 | [
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0.158203125,
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0.0... | 45,641 | 45641 | |
CS 314 Ray-Triangle Intersection
CS 314: Ray-Triangle Intersection
Robert Bridson
November 7, 2009
Calculating whether or not (and where) a ray inte... | 4 | [
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-0.054443359... | 45,642 | 45642 | |
Math Help
March 27th 2007, 11:14 AM #1
Junior Member
Joined
Mar 2007
Posts
45
Math help
Hi. I have a question that reads " Among all pairs of numbers whose sum is 15, find the pair such that the sum of their squares is the smallest possible."
Could someone please work this problem out for me and ex... | 4 | [
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How to Apply Direct-Drive Linear Servomotors
A novel direct-drive linear servomotor with only one moving part needs special design considerations.
Robert Repas
Associate editor
There’s a growing demand for smaller linear motors. Manufacturers have developed new direct- drive linear servos in response. Standard rotary... | 5 | [
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can this integral be solved analytically!
September 18th 2011, 05:12 PM #1
Newbie
Joined
Sep 2011
Posts
24
can this integral be solved analytically!
Hello,
i like to find an analytical solution for the following integral:
integral from [0 to pi]
{cos(2nθ)/ (x^2+ cos^2(θ))}dθ
x is cons... | 5 | [
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0.01409912109375,
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0.01544189453125,
0.06005859375,... | 45,645 | 45645 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
'Giants' printed from http://nrich.maths.org/
Antoine from Lycée St Genes submitted the following solution:
I checked with the calculator and saw that $9^{10}>10^9$.
Obviously we can't do that for the next questions.
I decided to deal with lo... | 5 | [
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0.0322265625,
-0.1337890... | 45,646 | 45646 | |
Math Forum Discussions
Re: A guess of the Probability density function from percentile values
Posted: Dec 30, 2010 1:44 AM
On Dec 29, 5:31 pm, Allamarein <matteo.diplom...@gmail.com> wrote:
> Thanks Ray.You wrote:
>
> "You might be much better off looking at the problem of minimizing L =
> |
> F(77.8)-.05| + |F(80.3) ... | 4 | [
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0.1318359375,
0.0228271484375,
-0.01031494140625,
-0.001861572265625,
0.056396484375... | 45,647 | 45647 | |
applied work problem
February 20th 2007, 08:12 PM
ggw
applied work problem
a force F with 8N has direction vector 5i+9j-3k. the force pushes an object on a ramp in a straight line from the point (2,3,0) to the point (4,9,15), where the coordinates are measured in
meters. Find the amount of work done by the f... | 4 | [
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0.048095703125,
-0.037353515625,
-0.00149536... | 45,648 | 45648 | |
How can I find the angle between two vectors?
Hi, can someone help with finding an angle between two vectors using radians? Here is the problem:
Remember, $||\bold{u}\cdot \bold{v}|| = ||\bold{u}||\cdot ||\bold{v}||\cos \theta$ Use this to find your angle.
Yes, I’ve used that method to find the angles and I’ve been s... | 5 | [
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... | 45,649 | 45649 | |
Proving properties of matrix
March 30th 2010, 08:09 PM
arze
Proving properties of matrix
Let A be the matrix $\left(\begin{array}{cc}a&b\\c&d\end{array}\right)$, where no one of a,b,c,d is zero. It is required to find a non-zero 2x2 matrix X such that AX+XA=0, where 0 is the zero 2x2
matrix. Prove that eithe... | 5 | [
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0.01318359375,
0.10302734375,
-0.028076171875,
0.000698089599609375,
-0.02209472... | 45,650 | 45650 | |
Math Forum Discussions - matrix differentials
Date: May 10, 2010 1:01 PM
Author: phubaba
Subject: matrix differentials
Hello everyone,
I've been trying to learn matrix calculus in my free time, and I've been struggling with one general concept.
Given that you have a matrix differential example:
P = Nx1, V=NxN, V is... | 4 | [
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-0.005279541015625,
-0.0269775390625,... | 45,651 | 45651 | |
Aut(G) acting transitively on a finite group
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How Aut(G) acting transitively on a finite group G^* can lead G to be elementary abelian group? G^*=G-{1}.
abstract-algebra
T... | 5 | [
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0.03271484375,
-0.03564453125,
-0.019775... | 45,652 | 45652 | |
dy
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Tati_Lee Group Title
please help! Explain,... | 4 | [
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0.031494140625,
-0.087... | 45,653 | 45653 | |
limit of exponential function
November 6th 2011, 07:34 PM #1
limit of exponential function
Hi guys,
I have a question about an $\epsilon / \delta$ proof, specifically, properly handling the inequality at the end.
Prove that $\lim_{x \to 2} e^x = e^2$
Let $\epsilon > 0$ be given. Let $\delta = \ln(\f... | 5 | [
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... | 45,654 | 45654 | |
Semi Linear PDE's:2y u_x+u_y=1-5u; 4yu_x-xu_y+2x-4y=0
May 14th 2011, 03:44 AM #1
Semi Linear PDE's:2y u_x+u_y=1-5u; 4yu_x-xu_y+2x-4y=0
Folks,
Could anyone check my work as attached?
pdf 250 part ii. Find the explicit general solution
pdf 252. Find the particular solution for the given IC.
Than... | 5 | [
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-0.031494140625,
-0.021240234375,
0.041015625,
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-0.13281... | 45,655 | 45655 | |
Matrices
Lesson 1
ALGEBRA OF MATRICES
OBJECTIVES
At the end of this session, you will be able to understand:
Introduction of Matrices
Definition of Matrix
Special Types of Matrices
... | 4 | [
-0.08056640625,
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0.036376953125,
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0.03662109375... | 45,656 | 45656 | |
Expected Value and Utility - Simple yet very confusing
February 20th 2011, 02:01 PM #1
Newbie
Joined
Feb 2011
Posts
2
Expected Value and Utility - Simple yet very confusing
Hey there,
I've been working on the following problem for a while now and I have done as much as I could, but I need your help t... | 5 | [
-0.0057373046875,
0.01214599609375,
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0.046630859375,
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-0.09326171... | 45,657 | 45657 | |
Finite versions of Godel' s incompleteness
up vote 15 down vote favorite
6
Assume you have some notion of proof complexity: for instance, at the basic level, the length of a proof, or the number of symbols used, take your pick (there are more involved measures, but for sake
of simplicity I will limit myself to the ab... | 5 | [
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Recurrence Relations for Moments of k-th Upper Record Values from Flexible Weibull Distribution and a Characterization
Mahmoud Ali Selim^1, , Hamdy M. Salem^2
^1Department of Statistics, Faculty of Commerce, Al-Azher University, Egypt & King Khalid University, Community College, Saudi Arabia
^2Department of Statisti... | 4 | [
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Basic Chain Rule Problem with Trig Functions
October 23rd 2010, 08:22 PM #1
[SOLVED] Basic Chain Rule Problem with Trig Functions
Hi, everyone. First post but I have a feeling I'll be coming back often.
Problem: For what values of $x$ in the interval $[0,2\Pi]$ does the graph of $f(x)=\cos^2(x)+\sin(x)$ have... | 5 | [
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About the Gauss map of a surface in euclidean 3 space
up vote 5 down vote favorite
Regarding the sphere as complex projective line (take $(0,0,1)$ as the infinite point), the Gauss map of a smooth surface in the 3 dimensional space pulls a complex line bundle back on the surface.
My question is, what the bundle is? (... | 5 | [
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-0... | 45,661 | 45661 | |
Designing a cyclinder with minimal surface area
October 25th 2007, 12:12 PM #1
Member
Joined
Oct 2007
From
Nevada
Posts
188
Designing a cyclinder with minimal surface area
You are designing a new cylindrical can to hold 1 liter (1000 cubic centimeters) of Jake's Special Paint. Find the dimensions tha... | 5 | [
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Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: POW Solution, Feb. 14-18
Replies: 1 Last Post: Feb... | 4 | [
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0.00154876708984... | 45,663 | 45663 | |
Finding the Slope and Equation of a Line
2.1: Finding the Slope and Equation of a Line
Difficulty Level: At Grade Created by: CK-12
Practice Slope of a Line Using Two Points
The grade, or slope, of a road is measured in a percentage. For example, if a road has a downgrade of 7%, this means, that over every 100 horiz... | 4 | [
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0.0405273437... | 45,664 | 45664 | |
urgent hw help on calculus
November 29th 2008, 03:08 PM
twilightstr
urgent hw help on calculus
find a function f and a number a such that 6+ integral of t=x to t=a f(t)/t^2dt = 2square root x for all x>0.
November 29th 2008, 03:19 PM
skeeter
November 29th 2008, 06:41 PM
twilightstr
still need help
i sti... | 5 | [
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-0.0322265625,
-0.02... | 45,665 | 45665 | |
vector subspace?
October 13th 2012, 01:05 PM
bonfire09
vector subspace?
The problems states "All polynomials of the form p(t)= at^2, where a is in R." Why is span written as such span{t^2}. I dont understand how t^2 can be considered part of the span?
October 13th 2012, 01:26 PM
johnsomeone
Re: vector subspac... | 4 | [
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Proof by induction: 7^n + 2 is divisible by 3
May 24th 2013, 07:05 PM
Educated
Proof by induction: 7^n + 2 is divisible by 3
Quote:
Use Proof by Mathematical induction to prove that 7^n + 2 is divisible by 3 for all n in the Natural Numbers.
First thing I guess is to label the equation;
$p(n) = 7^... | 4 | [
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Prove f is a group morphism and establish 1 condition
May 19th 2011, 03:56 AM #1
Newbie
Joined
May 2011
Posts
4
Prove f is a group morphism and establish 1 condition
Please can you help me with this question:
Define the following map on a cyclic finite group G:
f:G--> G x|-->f(x):=x^m
wher... | 4 | [
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Modelling of HIV-TB Co-infection Transmission Dynamics
Nita H. Shah^1, , Jyoti Gupta^1
^1Department of Mathematics, Gujarat University, Ahmedabad, Gujarat
Abstract
In this paper, we have formulated a model for HIV-TB co-infection using differential equations in order to understand the dynamics of disease spread. Th... | 4 | [
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A more difficult integral, general power formula
May 6th 2013, 03:37 PM
togo
A more difficult integral, general power formula
Question: Integrate 28-1-16
(int) 0.8((3 + 2 ln(u))^3) du/u
My attempt:
u = (3 + 2 ln u)
du = 2(1/u) = 2/u
My guess at this is to divide the whole integral by 2 now... | 5 | [
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0.00640869... | 45,670 | 45670 | |
Derivative of the CDF of a family of random variables
up vote 0 down vote favorite
Suppose I have a r.v. $Z = X + \alpha Y$ and that $F_Z$ is the probability distribution function of $Z$. If we think of the probability $p = F_Z(q) = \mathbb{P}(X+\alpha Y < q)$ as a function $p = p
(q, \alpha)$, how can we write the de... | 5 | [
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0.044189453125... | 45,671 | 45671 | |
2 questions on my math homework
April 8th 2010, 08:41 AM #1
Newbie
Joined
Mar 2010
Posts
11
2 questions on my math homework
I can't seem to figure these two questions out. A little assistance please?
1)
x^2/3 + 2x^1/3 - 63 = 0
The solution set is ( , )
2)
For each given pair of n... | 4 | [
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-0.... | 45,672 | 45672 | |
Quotient rule differentiation problem..
April 2nd 2010, 11:46 AM #1
Member
Joined
Nov 2009
Posts
171
Quotient rule differentiation problem..
This is the question:
The value, V, in dollars, of an antique solid wood dining set t years after it is purchased can be modelled by the function
Determ... | 5 | [
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-0.056396484375,
0.0159... | 45,673 | 45673 | |
Help! Finding error of approximation
March 29th 2009, 05:58 PM #1
Newbie
Joined
Mar 2009
Posts
3
Help! Finding error of approximation
hi
totally stuck on this question.
What is the upper bound for the error of the approximation for the INTEGRAL from 0 to 1 of x^4 sin^3
this question is in t... | 5 | [
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0.004547119140625,... | 45,674 | 45674 | |
Does this isomorphism between Galois groups hold for transcendental extensions?
up vote 0 down vote favorite
Suppose $L/K$ and $M/K$ are algebraic extensions of a field $K$, such that $L\cap M=K$, and $L/K$ is a normal extension. It is well-known that, with these conditions, we have:
$$\text{Gal}(L/K)\cong \text{Gal}... | 5 | [
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What are conjectures that are true for primes but then turned out to be false for some composite number?
up vote 5 down vote favorite
1
Note: This is an update formulation since many people misunderstood the question before.
Of course it is easy to make a statement like "Every n is a prime or at most 1000", which is ... | 4 | [
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Statistical Significance and the Magic Formula
Note: Please read the disclaimer. The author is not providing professional investing advice or recommendations.
It’s been a while since I first read Joel Greenblatt’s The Little Book That Beats the MarketMagic Formula‘s historical returns versus the S&P 500 …
But one th... | 5 | [
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... | 45,677 | 45677 | |
Groebner basis for Sudoku
up vote 9 down vote favorite
4
I'm trying to write a program that solves sudoku's using a Groebner basis. I introduced 81 variables $x_1$ to $x_{81}$, this is a linearisation of the sudoku board.
The space of valid sudokus is defined by:
for $i=1,\ldots,81$ : $F_i = (x_i - 1)(x_i - 2)\cdots... | 5 | [
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0.015625,
-0.02478027343... | 45,678 | 45678 | |
Differentiation
December 30th 2007, 08:20 AM #1
Newbie
Joined
Dec 2007
Posts
3
Differentiation
I am currently studying calculus on an open learning basis and was wondering if someone could take a look at these questions and answers I have posted and feed back on my method of working out
etc. I am pr... | 5 | [
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0... | 45,679 | 45679 | |
Is the following the right definition of $L$-functions (on the Galois side)?
up vote 8 down vote favorite
4
This question may be too elementary for this forum, but I have asked it on math stackexchange and didn't get an answer. I have now deleted it so there wouldn't be duplicates... Here is the question
as it appeare... | 4 | [
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-0.0... | 45,680 | 45680 | |
Heat problem with a heat equation
November 24th 2009, 01:10 PM #1
Heat problem with a heat equation
Consider a thermally isolated copper bar whose extremities are maintained to 0°C. The initial distribution of temperature is given by $T(x)=100 \sin \left ( \frac{\pi x}{L} \right )$ where $L$ is
the length of ... | 5 | [
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Homework Help
Posted by mary on Saturday, February 27, 2010 at 8:55pm.
Can someone please help me with this?
Find all solutions to the equation in the interval [0,2pi)
cos2x=sinx
I know I have to use some sort of identity, but I have no idea how to go about to solve this.
• Trig. - MathMate, Saturday, February 2... | 4 | [
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0.000006... | 45,682 | 45682 | |
Math Forum Discussions - Re: where's the math?
Date: Apr 22, 1995 2:57 AM
Author: Ted Alper
Subject: Re: where's the math?
Susan,
Of course, just because I don't see the connection, doesn't mean
there isn't one. I should have phrased my post more temperately.
(On the other hand, the existence of a construction on Pa... | 5 | [
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Homework Help
Posted by Jake on Sunday, January 14, 2007 at 3:35pm.
The original question I had was write arcsin4 in the form a+ib. I manage and understand how to get so far BUT How do I get from
cosacoshb-isinasinhb=4
to
2m(pi)+/- iarccosh4
arcsin4 = a + b i --->
4 = sin(a + bi)
sin(a + bi) =
sin(a)cos(bi) + c... | 5 | [
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How can one prescribe the pairwise intersection measuress of $n$ sets?
up vote 10 down vote favorite
4
Take $n\geq 1$, and $m_{ij}\in [0,1], 1\leq i,j \leq n$. Under what conditions is it possible to find measurable subsets $X_1,...,X_n$ of, say, $[0,1]$, such that $leb(X_i\cap X_j)=m_{ij}$?
Some relations are necess... | 4 | [
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Natural numbers
March 27th 2011, 04:30 AM #1
Newbie
Joined
Mar 2011
Posts
1
Natural numbers
n is a natural unzero number, find x natural so that:
$\sqrt{x-1}<\sqrt{n-1}+\sqrt{n}+\sqrt{n+1}<\sqrt{x}$
I saw that x must be bigger than n, but how I find it?
As x increases the difference in [te... | 5 | [
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Transient and Numerical Solution of a Feedback Queueing System with Correlated Departures
Neelam Singla^1, , P.C. Garg^1
^1Department of Statistics, Punjabi University, Patiala, India
Abstract
This paper studies a feedback queueing system with correlated departures. Departures take place only at transition marks. I... | 4 | [
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Topic: Nhood Space
Replies: 24 Last Post: Jul 3, 2013 10:... | 4 | [
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Limits question
May 2nd 2010, 12:45 AM #1
Senior Member
Joined
Feb 2008
Posts
297
Limits question
$Find\ all\ (a,b)\ such\ that$
$\lim_{x \rightarrow 0} \frac{ax-1+e^{bx}}{x^2}=1$
I can find b by using L'Hopital's Rule, where b is $\pm \sqrt{2}$, but I don't know how to find a
I'm not clea... | 5 | [
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0.046875,
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-0.061767... | 45,689 | 45689 | |
Non-Constant Functions
Date: 02/12/2001 at 09:08:57
From: Julie Bishop
Subject: Derivative of non-constant functions
Are there any non-constant functions f and g such that (fg)' = f'g'?
Thanks,
Julie
Date: 02/12/2001 at 12:14:09
From: Doctor Rob
Subject: Re: Derivative of non-constant functions
Thanks for writin... | 5 | [
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jenny12593 Group Title
If T:P1→P1 is a lin... | 5 | [
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Seeking a Geometric Proof of a Generalized Alternating Series' Convergence
up vote 6 down vote favorite
2
Let $z \in \mathbb{C} \backslash \lbrace 1 \rbrace$ with $|z| = 1$. We consider the following infinite series, which necessarily converges: $$S(z) := \sum_{n = 1}^{\infty}\frac{z^n}{n}$$
Note that $S(-1)$ is the ... | 5 | [
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Solving for x ? [differential equation]
November 28th 2010, 03:57 AM #1
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Joined
Nov 2010
Posts
3
Solving for x ? [differential equation]
Hello,
I'm stuck with this equation and I can't figure out a way how to solve for t..
So I got the solution of a differential equation(complex roots), an... | 4 | [
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Total space of the line bundle $\mathcal{O}(1)$ over $\mathbb{P}^n$
up vote 11 down vote favorite
10
It is well known that total space of the tautological line bundle $\mathcal{O}(-1)$ over projective space $\mathbb{P}^n$ is closed subvariety of $\mathbb{P}^n\times\mathbb{A}^{n+1}$. My question is
how to realize tota... | 5 | [
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pythagoras123 Group Title
The product 1 X ... | 4 | [
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Harmonic Sums of Integers With k Binary 1's
If S(k) denotes the sum of the inverses of the odd natural numbers
whose binary representations contain exactly k ones, I conjectured
that S(k) approaches ln(2) as k increases to infinity, whereupon
Robin Chapman pointed out a simple proof involving some nice
elementary mani... | 5 | [
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0.... | 45,696 | 45696 | |
Counting functions problem 4
July 3rd 2010, 10:36 AM #1
Counting functions problem 4
Could someone please check my answers for the following problems, especially b?
Consider the possible functions f:[7] $\longrightarrow$[9]?
a) How many have f(3)=8? How many have f(3) $eq$8?
There is one object bei... | 5 | [
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When can a Connection Induce a Riemannian Metric for which it is the Levi-Civita Connection?
up vote 51 down vote favorite
44
As we all know, for a Riemannian manifold $(M,g)$, there exists a unique torsion free connection $\nabla_g$, the Levi-Civita connection, that is compatible witht metric.
I was wondering if one... | 4 | [
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measure,in mathematics, generalization of the concepts of length and area to arbitrary sets of points not composed of intervals or rectangles. Abstractly, a measure is any rule for associating with a
set a number having that retains the ordinary measurement properties of always being non-negative and additive; i.e.nonn... | 4 | [
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