content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Find and classify the stationary points
June 16th 2012, 02:22 AM
infernalmich
Find and classify the stationary points
I have the following problem:
Find and classify the stationary points of:
f[(x,y)]=ln(2x+y+2)-2x-y
First I calculate the partial derivatives and set them 0.
fx[(x,y)]=2/(2x+y+2)... | 4 | [
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0.08984375,
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... | 43,700 | 43700 | |
Re: Cubic Diophantine Equations
• From: Wolfgang Rave <info@xxxxxxxxxxx>
• Date: Sat, 30 Aug 2008 21:52:35 -0700 (PDT)
On Aug 31, 4:43 am, "Larry Hammick" <larryhamm...@xxxxxxxxx> wrote:
"Wolfgang Rave"
hello there,
Has anybody of you got ideas on how to solve some special cubic
Diophantine Equ... | 4 | [
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Truth value of a quantifier statement
February 10th 2010, 07:05 PM #1
Newbie
Joined
Feb 2010
Posts
1
Hello,
I need to determine whether the following statement is true of false:
$\forall x(x > 1\to x^2 > x)$ Domain: All reals
I think the statement is true since I cannot find a value which ... | 4 | [
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Trigonometric Substitution Q2
Question: $\int\frac{dx}{\sqrt{4x-x^2}}$ How to solve it? Please answer in steps , thank you
Here, there is no solution with steps. we give a "start". Try to complete the square for x in $4x-x^2=-(x^2-4x)$. On the other hand, the substitution $x=\frac{1}{u}$ will make the original integra... | 4 | [
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Why the baseball Pythagorean doesn’t work for soccer
I see that a lot of people have been visiting this site because of Devin Pleuler’s article on the soccer Pythagorean expectation that we’ve developed. Welcome to Soccermetrics! We’re all about
creating knowledge and insight from the data revolution that has overtak... | 4 | [
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Distance and Scientific Notation
Distance/Scientific Notation
Day 5 - Math Lesson
Lesson objectives:
· Students will be able to use the distan... | 4 | [
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Regarding Cayley Graphs of Property (T) Groups
up vote 13 down vote favorite
A well-known application of Kazhdan's Property (T) is the construction of expander graphs. Background on this is discussed, for example, in this post on Terry Tao's blog. Essentially, Cayley graphs
of finite quotients of property (T) groups c... | 4 | [
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Having difficulty with linear equations
June 3rd 2012, 04:28 PM #1
Member
Joined
Jun 2012
From
Australia
Posts
86
Having difficulty with linear equations
Hello,
I've been out of school for over 6 years so these questions are probably relatively simple, but I'm just not grasping the concept here.... | 4 | [
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Sunday FunctionSunday Function
A while back I was driving in my car listening to the radio and was gobsmacked to hear a song (What’s My Name? by Rihanna and Drake) in which the singer’s rap involved accurately estimating a square
root. Unfortunately it was in the context of a rather vulgar play on words (“the square ro... | 4 | [
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... | 43,708 | 43708 | |
Order of the factor group G/N
November 29th 2007, 07:25 PM
temp31415
Order of the factor group G/N
Question: Suppose G is a group with |G| = 30 and N is a normal subgroup of G. WHat are the possible orders for the group G/N
I know by Lagrange's theorem that |N| divides |G| so |N| = {1,2,3,5,10,15,30}.
... | 4 | [
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Problem Solving First Order Differential Equation
March 17th 2011, 04:00 AM #1
Member
Joined
Sep 2008
Posts
95
Problem Solving First Order Differential Equation
I'm trying to solve the following D.E: (2yexp(y/x) + x)dy/dx = 2x + y
Here is my current working:
dy/dx = (2x+y) / (2yexp(y/x) + x)
... | 5 | [
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Convergence and non-convergence of left-point and mid-point Riemann sums
up vote 9 down vote favorite
3
In standard calculus it is a well known fact that left-point and mid-point Riemann sums do become equal in the limit. When it comes to stochastic integration this is no longer the case.
Taking the left-hand sums ren... | 5 | [
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Twisted cohomology of torus
up vote 1 down vote favorite
1
I think I could write down a projective resolution, tensor with the twisted coefficients and find the first cohomology of the standard torus.
BUT, I was wondering if there is an easier way to understand the first (co)homology groups. (Just checking, by Poinca... | 5 | [
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Mean of the residuals (e-bar)
May 5th 2009, 11:29 PM #1
Newbie
Joined
Mar 2009
Posts
23
Mean of the residuals (e-bar)
So I can prove that the sum of the residuals equals zero.. but how do I prove that the mean of e equals zero? (e is the residuals in this case, not the irrational e)
I've tried but a... | 5 | [
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Relation between Gerstenhaber bracket and Connes differential
up vote 7 down vote favorite
6
Let $C$ be an arbitrary algebra (more generally, a linear 1-category). The following structures are well-known:
A degree-0 product on the Hochschild cohomology $HH^*(C)$
$$ HH^*(C) \otimes HH^*(C) \to HH^*(C) $$ $$ a \otimes ... | 4 | [
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Math Help
Let $x= t^3$ The integral $I = 3 \int_0^{\infty} \frac{ t^3 }{1+ t^6} ~dt$ Sub $t = 1 /s$ $I = 3 \int_0^{\infty} \frac{s}{1+s^6}~ds$ Sub $s^2 = u$ $I = \frac{3}{2} \int_0^{\infty} \frac{du}{1+u^3}$
$I = \frac{3}{2} \int_0^{\infty} \frac{ 1+ u - u}{1+u^3}~du$ $I = \frac{3}{2} \left[ \int_0^{\infty} \frac{1+u}... | 5 | [
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Abel's Proof: Step Two
In today's blog, I will cover step 2 of the original proof by
Niels Abel
on the quintic equation. The content in today's blog is taken from Peter Pesic's excellent book
Abel's Proof
.
In Step 2, Abel shows that if the general quintic equation has a solution expressible in radicals, then all ... | 5 | [
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Years That Start on Sunday
Date: 10/02/2000 at 17:36:16
From: Jason Lane
Subject: Probability that a year that starts with a Sunday
What is the probability that, if you were to pick a random year, that
year would start with a Sunday?
I tried working it by thinking of Monday as an arbitrary starting
value. I knew th... | 4 | [
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Probability question
September 27th 2007, 07:24 PM #1
Member
Joined
Oct 2006
Posts
84
Probability question
Let X be a random variable with probability mass function given by p(-4) = p(4) = 1/16 and p(2) = p(-2) = 7/16. Let Y = aX+b for a certain a and b.
Part A asks: For what values of a and b does ... | 4 | [
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Rational inequalities
February 25th 2010, 11:20 PM #1
Junior Member
Joined
Jan 2010
Posts
25
Rational inequalities
3 different questions:
${\left({x}+{105}\right)}{\left({x}-{178}\right)}{\left({{x}}^{{2}}-{16}\right)}\gt{0}$
${\left({{x}}^{{2}}-{3}{x}\right)}{\left({x}+{7}\right)}\le-{1}{{x}}^... | 4 | [
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Extension of integrable distribution over a subset
up vote 1 down vote favorite
1
Let $M$ be a smooth manifold and $G_k(M)$ be the $k$-dimensional Grassmian bundle of $M$. Let $K\subset M$ be a compact subset and $E:K\to G_k(M)$ be a continuous distribution on $K$.
We say $E$ is integrable on $K$ if there exists a fo... | 5 | [
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Volume 21,
Volume 21, Issue 1, January 1980
•
View Description Hide Description
All representation functions of ISO(n) have been found in explicitly closed form. They can all be expressed in terms of Bessel functions and Clebsch–Gordan coefficients of SO(n) involving the
most degenerate representation... | 4 | [
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Where is the Prize?
Date: 4/17/96 at 0:2:3
From: Anonymous
Subject: Puzzle busters
After the frog turned into a handsome prince and the princess fell in
love with him, the king said, "Not so fast! If my daughter is going to
marry a former frog, I want to make sure he can do more than catch
flies." And he insisted th... | 4 | [
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-... | 43,722 | 43722 | |
Derivatives involving both product/quotient rule
December 6th 2009, 08:33 AM
Archduke01
Derivatives involving both product/quotient rule
Find f'(x) for y = (x+5 / x+1) (2x+1)
I don't know how to proceed here. Do I use the quotient rule inside the first brackets? Then what?
December 6th 2009, 08:43 AM
lvle... | 5 | [
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integrals
April 23rd 2010, 06:59 AM
alexandrabel90
integrals
hi!
May i know how to solve this question?
and how do i solve it when the arrow on the left hand side of the diagram changes to the other direction?
http://i752.photobucket.com/albums/x...0/DSCF4517.jpg
April 24th 2010, 11:24 AM
Failur... | 5 | [
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Number of Quarters
Date: 9/11/96 at 19:32:28
From: Michael F. Biondi
Subject: Number of Quarters
Dear Dr. Math,
How do I write an algebraic equation for the following problem?
Tony has eleven more nickels than quarters. How many quarters does he
have if the total value of his coins is $2.65?
I am stumped on th... | 4 | [
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Jacobian Elliptic Functions
An introduction to these mysterious functions
I recall seeing things like sn(u), cn(u) and similar in reference books at the beginning of my university studies, with the information that they were "elliptic functions," and assumed that I would
make their acquaintance somewhere down the lin... | 4 | [
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... | 43,726 | 43726 | |
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Topic: oldest discrete mathematics
Replies: 0
oldest ... | 5 | [
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0.01104736328125,
0.07568359375,
-0.0517578125,
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... | 43,727 | 43727 | |
Effect of Covering Radius on Shortest Vector
up vote 5 down vote favorite
2
For "even" integral lattices in dimension at least 4, does a covering radius strictly less than $\sqrt 2$ imply that there is a vector of norm 2, also called a root?
Note that this is simply false in dimensions 2 and 3, the three relevant eve... | 5 | [
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-0.0456542968... | 43,728 | 43728 | |
Math Help
April 20th 2009, 09:27 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Find k
If sqrt{96}/2 = k(sqrt{6}), find k.
I multiplied both sides by 2 and got
sqrt{96} = 2k(sqrt{6})
Do I now divide both sides by 2(sqrt{6}) to find k?
solved
Yes, you can do that, tho... | 4 | [
0.0203857421875,
0.054443359375,
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0.0206298828125,
0.00439453125,
0.056640625,
-0.051757... | 43,729 | 43729 | |
Cyclic Redundancy Checks
One of the most popular methods of error detection for digital
signals is the Cyclic Redundancy Check (CRC). The basic idea
behind CRCs is to treat the message string as a single binary
word M, and divide it by a key word k that is known to both
the transmitter and the receiver. The remainde... | 4 | [
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0.1455078125,
-0.034423828125,
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0... | 43,730 | 43730 | |
Organizing the Information in an Algebraic Word Problem
Date: 09/05/2007 at 11:31:12
From: Barbara
Subject: How many games did each of these three teams win?
In a baseball league of ten teams, Jennifer's team is currently in
first place with forty wins. Jordan's team is eight games behind
Jennifer's team. Aaron's t... | 4 | [
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help! statistics (normal distribution)
December 6th 2008, 01:48 PM #1
Newbie
Joined
Dec 2008
Posts
1
help! statistics (normal distribution)
If a car seat is too low to too high, it will be uncomfortable and possibly dangerous. Most seats are made to be adjustable, so that men and women with different sit... | 5 | [
0.09814453125,
0.051513671875,
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... | 43,732 | 43732 | |
HowStuffWorks "How Helium Balloons Work"
Helium Flotation
Helium balloons work by the same law of buoyancy. In this case, the helium balloon that you hold by a string is floating in a "pool" of air (when you stand underwater at the bottom of a swimming
pool, you are standing in a "pool of water" maybe 10 feet deep -- ... | 4 | [
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0.0517578125,
-0.029541015625,... | 43,733 | 43733 | |
parametric equation
December 6th 2006, 09:20 PM
Jenny20
parametric equation
Question
If Lsub1 has parametric equation x=1+3t, y=1+t, z=4-t, and Lsub2 has parametric equation x=7-6t, y=-2t, z=3+2t, then Lsub1 and Lsub2 are parallel.
The answer is true.
Please show me why it is true. Thank you very m... | 4 | [
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0.041015625,
-0.1201171875,
-0.0913085... | 43,734 | 43734 | |
Least prime primitive root
up vote 7 down vote favorite
1
For $p$ a prime number, let $G(p)$ be the least prime $q$ such that $q$ is a primitive root mod $p$, that is $q$ generates the multiplicative group $(\mathbb Z/p\mathbb Z$)* .
Is it known that $G(p)=O(p)$ ? I don't mind if the answer assumes GRH or any oth... | 5 | [
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0.... | 43,735 | 43735 | |
Centralizer of elliptic elements in $GL(2)$
up vote 1 down vote favorite
1
Consider a global field $F$ and the group $\Gamma =GL(2,F)$. An element $\gamma \in \Gamma$ is called elliptic, if its eigenvalues do not lie in $F$. Now consider a completion $F_v$ of $F$ and $G_v =
GL(2,F_v)$. Now the eigenvalues of $\gamma$ ... | 5 | [
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-0.0395... | 43,736 | 43736 | |
Coin
Coin Puzzles
|Touching II
|100 Coins
|12 |13|50|
... | 4 | [
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0.0128173828... | 43,737 | 43737 | |
need a help to simplify
$a_n(G)=\frac{t_n(G)}{(n-1)!}$ and $h_n(G)=\sum _{k=1}^n {n-1 \choose k-1} t_k(G)h_{n-k}(G).$ Then need to remove $t_k(G)$ and obtain $a_n(G)=\frac{1}{(n-1)!} h_n(G)-\sum _{k=1}^n \frac{1}{(n-k)!}h_
{n-k}(G)a_k(G).$
Last edited by bkarpuz; September 12th 2008 at 01:15 AM. Reason: Coloured the u... | 5 | [
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0.0576171875,
0.0439453125,
-0.009338378... | 43,738 | 43738 | |
Primality criterion for generalized Fermat numbers similar to the LLT ?
up vote 1 down vote favorite
I asked this question on mathstackexchange but didn't get any answer .
Definition 1 :
Let $F_n(b) $ be a generalized Fermat number of the form :
$F_n(b) = b^{2^n}+1 $ , where $b$ is a positive even integ... | 4 | [
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0.043212890625,
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... | 43,739 | 43739 | |
Linear Algebra proof
November 13th 2007, 08:25 PM
beaveman
Linear Algebra proof
I have shown that if a set of vectors (v1,...,vn) is linearly independant, then every vector v that is an element of <v1,...,vn> has a unique representation as a linear combination of vectors
v1,...,vn.
Now I need to show th... | 5 | [
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0.0125732421875,
0.0281... | 43,740 | 43740 | |
Algebraic Groups
So now we begin one of the great examples in algebraic geometry: algebraic groups. These are exceptionally nice, and we’ll talk about a couple of more general concepts before applying them to this
case.
Before we can have any hope of talking about algebraic groups, we need to talk about products of va... | 4 | [
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-0.052734375,
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-0.033935546875,
-0.041503906... | 43,741 | 43741 | |
Proofs of Archimedes’ Parabolic Triangles Results
Proofs of Archimedes’ Parabolic Triangles Results
Proof: If r is the x-coordinate of the point C, there is a positive number h such that the x-coordinate of A is r – h and the x-coordinate of B is r + h C is the point of the parabola directly below
the midpoint of the... | 4 | [
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0.006683349609375,
0.0322265625,
0.048095703125,
-0.05908203125,
-0.047607421... | 43,742 | 43742 | |
2005 - Kooi - Yet Another Mastermind Strategy
Yet Another Mastermind Strategy 13
YET ANOTHER MASTERMIND STRATEGY
... | 4 | [
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... | 43,743 | 43743 | |
suggested solutions to midterm exam (part b&c)
Page 1 of 8 Pages
YORK UNIVERSITY
Atkinson College
... | 5 | [
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Permutations and Combinations
QuickMBA / Statistics / Permutations and Combinations
Permutations and Combinations
Certain types of probability calculations involve dividing the number of outcomes associated with an event by the total... | 4 | [
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... | 43,745 | 43745 | |
a conjecture in sum-free sets
up vote 4 down vote favorite
1
Let $ A $ be a set of non-zero integers. Then $A$ contains a sum-free subset $B$ of size $ |B|> \frac{|A|}{3} $ (a result of Erdős). It is conjectured that RHS can be improved to $\frac{|A|}{3} +10$.
Is there any evidence/heuristic justification for this con... | 4 | [
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0.0390625,
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0.0... | 43,746 | 43746 | |
Please help with equation
August 14th 2009, 02:06 PM #1
Junior Member
Joined
Sep 2008
Posts
40
Please help with equation
The life expectancy of an American in 2000 was 76.1 years and the life expectancy in 2007 was 78.2 years. If this trend continues find the life expectancy in teh year 2015. (Assume the... | 4 | [
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0.041259765625,
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0.054931640625,
0.0859375,
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0.06005859375,
0.017333984375,
0.08544921875,
-0.189453125,
-0.017578125,
... | 43,747 | 43747 | |
Differentiation of infinitely differentiable functions
October 28th 2010, 08:17 PM #1
Member
Joined
Aug 2008
Posts
88
Differentiation of infinitely differentiable functions
Let D be the differentiation on the space W of of all infinitely differentiable functions.
a. What are all the eigenvalues and ... | 5 | [
-0.05029296875,
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-0.072265625,
-0.017333984375,
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0.03564453125,
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-0.05029296875,
-0.00970458984375,
-0.027587890625,
-0.04125976562... | 43,748 | 43748 | |
Dynamical systems with multidimensional, complex and other exotic kinds of time spaces
up vote 10 down vote favorite
5
As one may know, a dynamical system can be defined with a monoid or a group action on a set, usually a manifold or similar kind of space with extra structure, which is called the phase space or state
... | 4 | [
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0.05590820312... | 43,749 | 43749 | |
Finding the Parts of a Parabola
5.15: Finding the Parts of a Parabola
Difficulty Level: At Grade Created by: CK-12
Practice Quadratic Functions and Their Graphs
The profit on your school fundraiser is represented by the quadratic expression $-3p^2 + 200p - 3000$ p is your price point. What price point will result in... | 4 | [
-0.006195068359375,
-0.000843048095703125,
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0.048828125,
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0.041259765625,
-0.02673339... | 43,750 | 43750 | |
The Periodic Solutions for Planar
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 397194, 10 pages
http://dx.doi.org/10.1155/2013/397194
Research Article
The Periodic Solutions for Planar -Body Problems
^1College of Mathematics, Sichuan University, Chengdu 610064, China
^2College of Mathematics and Phy... | 5 | [
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-0.1357421875,
-0.00848388... | 43,751 | 43751 | |
Complex Numbers
February 26th 2014, 09:34 PM #1
Member
Joined
Jan 2013
From
Australia
Posts
154
Thanks
3
Complex Numbers
Q1:
a) Find the exact solutions in C for the equation z^2-2√3z + 4 = 0, writing your solutions in cartesian form.
b) i) Plot the two solutions from part a on an Argand ... | 5 | [
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-0.0179443359375,
-0.08544921875,
-0.078... | 43,752 | 43752 | |
Uniform continuity help
February 28th 2011, 09:26 AM #1
Newbie
Joined
Feb 2011
Posts
21
Uniform continuity help
I have to detemine if these functions are uniformly continuous on the given intervals
1) f(x) = ln X on (0,1)
my solution :
Let ε >0 , we can let δ=ε
by the mean value theorm s... | 5 | [
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0.03857421875,
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0.0068359375,
-0... | 43,753 | 43753 | |
Basics: Mean, Median, and Mode
Statistics is something that surrounds us every day – we’re constantly
bombarded with statistics, in the form of polls, tests, ratings, etc. Understanding those statistics can be an important thing, but unfortunately, most people have never been taught just what
statistics really mean, ho... | 4 | [
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-0.040771484375,
-0.056396484375... | 43,754 | 43754 | |
Module 2 Unit 1 Notes
November 30, 2012
Welcome to Class!
Write down the assignment in your agenda
Get a blue math book
Come see me if you want to pass back papers
If you need to finish your test, it will be i... | 4 | [
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0.033203125,
0.02587890625,
0.0913085937... | 43,755 | 43755 | |
Airthmetic-geometric means problem?
November 25th 2007, 06:51 AM
mongrel73
Airthmetic-geometric means problem?
i have a question from an analysis paper that i think can be solved using the arithmetic-geometric means inequality. This is the question:
show that if a_1, a_2, a_3, ... , a_n are positive, such t... | 5 | [
-0.03857421875,
-0.025146484375,
0.03466796875,
0.0048828125,
-0.01025390625,
-0.060302734375,
0.0341796875,
-0.00579833984375,
0.01043701171875,
0.017578125,
-0.047119140625,
0.00885009765625,
0.05224609375,
-0.0208740234375,
-0.025146484375,
0.10693359375,
-0.000652313232421875,
... | 43,756 | 43756 | |
Encrypting the Internet
The Advanced Encryption Standard and the RSA Algorithm
AES is the United States Government's standard for symmetric encryption, defined by FIPS Publication #197 (2001) [2, 3]. It is used in a large variety of applications where high throughput and
security are required. In HTTPS, it can be used... | 4 | [
-0.060302734375,
0.0159912109375,
-0.05908203125,
-0.007110595703125,
-0.0206298828125,
-0.0439453125,
0.01080322265625,
0.00189208984375,
0.1337890625,
0.032958984375,
-0.036376953125,
0.10302734375,
-0.00180816650390625,
-0.00830078125,
0.0167236328125,
-0.099609375,
-0.0576171875,... | 43,757 | 43757 | |
Ratio of circumscribed/inscribed $(n{-}1)$-gons
up vote 11 down vote favorite
4
As a discrete analog of the MO question, "Löwner-John Ellipsoid: incribed and circumscribed," I've been wondering what might be the maximum ratio of this quantity? Let $P$ be a convex polygon of $n$
vertices, $P^+$ be a minimum area polygo... | 5 | [
0.048095703125,
0.00014495849609375,
-0.0272216796875,
-0.018798828125,
-0.0673828125,
-0.06689453125,
0.009033203125,
0.10107421875,
0.034423828125,
-0.010986328125,
-0.09423828125,
0.0223388671875,
-0.0024566650390625,
0.0830078125,
0.002105712890625,
0.0026092529296875,
0.12353515... | 43,758 | 43758 | |
Definite Integral Across Addition, Subtraction
Associated Topics || Dr. Math Home || Search Dr. Math
Definite Integral Across Addition, Subtraction
... | 5 | [
0.01019287109375,
0.00823974609375,
0.0751953125,
-0.001861572265625,
0.0223388671875,
0.0048828125,
-0.0185546875,
0.00927734375,
-0.052001953125,
-0.005889892578125,
0.021240234375,
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-0.0294189453125,
0.0712890625,
-0.037109375,
-0.06689453125,
-0.036865234375,
0.... | 43,759 | 43759 | |
Monday Math: The Sum of the Reciprocals of the PrimesMonday Math: The Sum of the Reciprocals of the Primes
Time for the big finale! We now have all the pieces in place to establish the divergence of the sum of the reciprocals of the primes.
Recall that we have the Euler product expansion of the harmonic series:
... | 4 | [
-0.0859375,
-0.02197265625,
0.05615234375,
-0.0022430419921875,
0.059814453125,
-0.0234375,
0.004913330078125,
0.09619140625,
0.0537109375,
0.018798828125,
-0.134765625,
0.036865234375,
-0.01519775390625,
-0.00811767578125,
-0.07861328125,
-0.0888671875,
-0.0186767578125,
-0.010986... | 43,760 | 43760 | |
Subspace of R3
Determine weather w={(x,2x,3x): x a real number} is a subspace of R3
To be a subspace it must confirm three axioms: Containing the zero vector, closure under addition and closure under scalar multiplication a) (0,0,0) is contained since (0,2*0,3*0)=(0,0,0) b) Let
(y,2y,3y) be a vector, then (x,2x,3x)+(y... | 4 | [
-0.0439453125,
-0.048583984375,
-0.06689453125,
0.0289306640625,
0.0257568359375,
0.037841796875,
0.041748046875,
-0.076171875,
-0.048095703125,
-0.0262451171875,
0.0022125244140625,
-0.1318359375,
-0.029541015625,
-0.0888671875,
0.040283203125,
-0.0001659393310546875,
-0.10791015625... | 43,761 | 43761 | |
Method of moment generating function with Gamma Distribution
November 9th 2008, 03:37 PM
lllll
Method of moment generating function with Gamma Distribution
Assume that $Y_1, \ Y_2, ... \ Y_n$ is a sample space of size n from a gamma distribution population with $\alpha = 2$ and $\beta$ unknown.
Us the metho... | 5 | [
-0.0556640625,
-0.08837890625,
0.0284423828125,
0.0050048828125,
-0.0238037109375,
-0.060302734375,
0.0615234375,
0.046142578125,
0.0400390625,
0.04931640625,
0.076171875,
0.0966796875,
-0.03271484375,
-0.0037384033203125,
-0.0054931640625,
0.0286865234375,
0.0240478515625,
-0.0629... | 43,762 | 43762 | |
factorials
how do you get (2n-1)! / (2n+1)! to equal to (2n-1)! / (2n+1)(2n)(2n-1)!
well i thought it had something to do with calculus...its the first time I've seen the ! sign people used in a problem the question was: determine whether the sequence converges or diverges. If it
converges, find the limit. i just need... | 4 | [
-0.03369140625,
-0.1025390625,
0.01165771484375,
0.037841796875,
-0.0191650390625,
-0.01458740234375,
-0.0281982421875,
0.0294189453125,
-0.0130615234375,
-0.06689453125,
0.0111083984375,
-0.03955078125,
-0.02294921875,
0.023193359375,
-0.083984375,
0.021484375,
-0.017578125,
0.032... | 43,763 | 43763 | |
Numerical Differentiation and Integration
Next: Ordinary Differential Equations Up: Numerical Analysis for Chemical Previous: Curve Fitting
The derivative represents the rate of cchange of a dependent variable with respect to an independent variable.
The integration means the total value, or summation, of
Newton-... | 4 | [
-0.0084228515625,
-0.005767822265625,
0.03662109375,
-0.01422119140625,
-0.01171875,
-0.0966796875,
-0.06787109375,
0.1279296875,
-0.0184326171875,
0.043212890625,
-0.00640869140625,
-0.01446533203125,
0.0634765625,
-0.07470703125,
-0.02197265625,
-0.018310546875,
-0.055908203125,
... | 43,764 | 43764 | |
arithmetic
High precision arithmetic is available in package Rmpfr (see also Rmpfr at R-Forge), which provides an interface to MPFR Library and GMP Library. An external high precision decimal calculator, which
may be accessed from R, is Berkeley calculator (bc command on Unix systems). High precision and rational arith... | 5 | [
-0.03271484375,
-0.03662109375,
-0.0966796875,
-0.0751953125,
0.002288818359375,
-0.06689453125,
-0.056396484375,
0.057861328125,
0.02197265625,
0.04296875,
0.022216796875,
-0.0167236328125,
-0.027099609375,
0.049072265625,
0.041015625,
-0.0859375,
-0.0184326171875,
0.06298828125,
... | 43,765 | 43765 | |
Write a program to find out the Fibonacci seriesWrite a C program to find out the Fibonacci series using Loop/Recursion
Write a C program to find out the Fibonacci series using Loop/Recursion
Posted by Ridev on October 8th, 2013
You can , or from your own site.
Task is to find out the Fibonacci series for a given ra... | 4 | [
-0.0150146484375,
0.06494140625,
-0.07421875,
-0.0615234375,
-0.03662109375,
-0.04736328125,
-0.060791015625,
0.0859375,
-0.01708984375,
0.005401611328125,
-0.035888671875,
-0.04052734375,
-0.0703125,
-0.00982666015625,
-0.1181640625,
-0.06640625,
-0.169921875,
-0.024658203125,
0... | 43,766 | 43766 | |
Induction Problem
February 8th 2009, 07:19 AM
vexiked
Induction Problem
Hi I am having alot of trouble with this induction question. Any help would be much appreciated!
Find a formula for 1/1*2 + 1/2*3 + 1/n*(n+1) and prove by induction.
February 8th 2009, 07:24 AM
running-gag
Hi
To find the for... | 5 | [
-0.109375,
0.037109375,
0.08544921875,
0.01263427734375,
-0.04345703125,
-0.0027313232421875,
-0.0888671875,
0.039794921875,
0.0172119140625,
0.0059814453125,
-0.1025390625,
-0.0240478515625,
-0.015869140625,
0.0205078125,
-0.048583984375,
-0.037353515625,
0.004791259765625,
-0.019... | 43,767 | 43767 | |
Finding Inverse of Functions
September 30th 2011, 05:46 PM
Ingersoll
Finding Inverse of Functions
Here's what I have:
f(x)= $\frac{x+3}{x+4}$; x not equal to -4
$f^-1(x)=\frac{3-4x}{x-1}$; x not equal to -1
$f(x): y=\frac{x+3}{x+4}$
$x=\frac{y+3}{y+4}$
$x(y+4)=y+3$
$xy +4x=y+3$
... | 4 | [
-0.064453125,
-0.033447265625,
-0.06689453125,
-0.02001953125,
-0.00225830078125,
-0.07373046875,
-0.052978515625,
0.01043701171875,
-0.04443359375,
-0.0198974609375,
0.033447265625,
-0.0167236328125,
0.006866455078125,
0.051513671875,
-0.0159912109375,
0.0732421875,
-0.053466796875,... | 43,768 | 43768 | |
Interest rate
December 26th 2010, 09:35 AM
Schdero
Interest rate
Hello
A credit K (100'000) is to be repayed within t (5) years, including interest rate p (5.25%), by an constant annual sum b.
My idea was the following: Generally each year K/t $ must be payed back. Additionnal to that, the interest rat... | 5 | [
-0.0654296875,
0.09619140625,
0.0546875,
0.0260009765625,
-0.0162353515625,
-0.04541015625,
0.00113677978515625,
0.04052734375,
-0.013427734375,
0.09521484375,
0.04248046875,
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0.0267333984375,
0.035400390625,
-0.05517578125,
0.0216064453125,
-0.0771484375,
0.0120239... | 43,769 | 43769 | |
algebraic numbers of degree 3 and 6, whose sum has degree 12
up vote 2 down vote favorite
1
This question is related to Degree of sum of algebraic numbers. Forgive me if this is a dumb question, but are there two algebraic numbers $a$ and $b$ of degree $3$ and $6$ respectively, such that
the sum $a+b$ has degree $12$ ... | 5 | [
-0.0263671875,
-0.0245361328125,
-0.10107421875,
-0.02294921875,
-0.037353515625,
0.051513671875,
0.05126953125,
-0.04541015625,
0.025634765625,
-0.07177734375,
0.041015625,
0.05029296875,
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-0.045166015625,
0.039306640625,
0.056396484375,
-0.10205078125,
0.028320312... | 43,770 | 43770 | |
concise formula for number of paths from (0,0) to (n,m) with horizontal, vertical and diagonal moves?
up vote 3 down vote favorite
The number of increasing paths from (0,0) to (n,m) with only vertical (north) and horizontal (east) moves can be easily proved to be $\binom{n+m}{n}$. When adding the possibility of making... | 5 | [
0.08935546875,
-0.08544921875,
-0.039306640625,
-0.0238037109375,
-0.050048828125,
0.06591796875,
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0.02880859375,
-0.01385498046875,
0.03369140625,
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0.05126953125,
0.00994873046875,
0.024658203125,
-0.01397705078125,
0.11865234375,
0.02099609375,
0.00903320... | 43,771 | 43771 | |
Expected value of normal function (conditional)
October 14th 2008, 04:00 AM #1
Newbie
Joined
Oct 2008
Posts
5
Expected value of normal function (conditional)
Hi Guys
I am trying to find the expected value of Y given that Y>0 and Y ~ N(-3,16)
The answer I get is not reasonable so I am trying to ... | 5 | [
-0.00970458984375,
0.0115966796875,
0.007415771484375,
-0.06201171875,
0.06689453125,
-0.044677734375,
-0.031982421875,
0.046630859375,
-0.00518798828125,
0.0164794921875,
-0.0169677734375,
-0.0021209716796875,
0.01116943359375,
0.06201171875,
-0.01495361328125,
0.014404296875,
0.032... | 43,772 | 43772 | |
International Math Olympiad 2011
When I participated at IMO 1992 in Moscow, people were laughing that our year was so unlucky to have Moscow - but I am actually happy it was Moscow.
This year, kids compete in
Amsterdam
which I visited in 1997 and 2002, to make you start to think about functions with period 5 which y... | 5 | [
-0.05712890625,
0.1123046875,
0.08935546875,
0.0157470703125,
0.0228271484375,
0.048828125,
0.06396484375,
-0.0439453125,
-0.06103515625,
0.0458984375,
-0.048583984375,
-0.08349609375,
-0.0191650390625,
0.10009765625,
0.03759765625,
0.0032806396484375,
-0.0257568359375,
-0.02502441... | 43,773 | 43773 | |
Hard (or maybe it's not?) u-substitution definite integral problem
November 21st 2010, 08:21 AM #1
Junior Member
Joined
Feb 2010
Posts
56
Hard (or maybe it's not?) u-substitution definite integral problem
$\int^1_{-1} t^3 (1+ t^4)^3 dx$
How do I go about solving this one? There are t's but it has dx... | 5 | [
-0.005950927734375,
0.025634765625,
0.05810546875,
0.033203125,
-0.068359375,
-0.087890625,
0.034912109375,
-0.04248046875,
-0.055419921875,
0.00775146484375,
0.023193359375,
-0.0079345703125,
-0.044921875,
0.0927734375,
-0.08837890625,
0.0018768310546875,
0.047119140625,
0.0261230... | 43,774 | 43774 | |
Math Dictionary - Proof or Prove
Answer:
A proof is a reasoned argument to establish the truth of a mathematical result.
For example the sequence
1^2 = 1
3^2 = 9 = 8 + 1
5^2 = 25 = 24 + 1
7^2 = 49 = 48 + 1
9^2 = 81 = 80 + 1
suggests that the square of an odd number is always 1 more than a multiple of 8. But is it al... | 4 | [
-0.033203125,
0.056884765625,
0.06591796875,
0.07470703125,
0.04443359375,
-0.006683349609375,
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0.09228515625,
0.034912109375,
-0.05029296875,
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0.04150390625,
0.08203125,
-0.036376953125,
-0.048828125,
-0.04248046875,
0.053222656... | 43,775 | 43775 | |
Sweedler notation
Context
Algebra
Algebraic theories
Algebras and modules
Higher algebras
Model category presentations
Geometry on formal duals of algebras
Theorems
Contents
Idea
Sweedler notation is a special notation for discussion of operations in coalgebras
Definition
If $C$ is a coassociative coalgebra... | 4 | [
-0.047607421875,
-0.053466796875,
-0.020751953125,
-0.03271484375,
-0.08642578125,
0.031005859375,
0.0361328125,
0.038330078125,
0.041015625,
-0.06787109375,
-0.01300048828125,
-0.051025390625,
-0.0322265625,
-0.0166015625,
0.0228271484375,
0.064453125,
0.036865234375,
0.15234375,
... | 43,776 | 43776 | |
Forms of Boolean Expressions
Introduction
There are several forms of Boolean expressions used for representing Boolean functions. Although not a specific form of a Boolean expression, we begin this section with a procedure for taking... | 5 | [
-0.052001953125,
0.011962890625,
0.017822265625,
0.041015625,
-0.07861328125,
0.00225830078125,
0.08251953125,
-0.10009765625,
-0.0615234375,
0.0286865234375,
-0.0140380859375,
-0.0147705078125,
0.0281982421875,
0.057373046875,
0.0546875,
0.08251953125,
-0.0849609375,
0.11962890625... | 43,777 | 43777 | |
non-comparable growth in a composition group of functions
up vote 1 down vote favorite
We have the theorem that if a partially ordered group is directed and integrally closed then it must already be commutative.
Now we have a partial order on real functions, which is: $f$ is finally greater than $g$, in symbols $f>_\... | 5 | [
-0.04052734375,
-0.0255126953125,
0.0703125,
0.031982421875,
0.0184326171875,
0.00689697265625,
-0.01470947265625,
-0.0255126953125,
0.078125,
-0.015380859375,
0.044189453125,
0.0458984375,
0.03076171875,
-0.060546875,
-0.007110595703125,
-0.0152587890625,
0.0111083984375,
0.005798... | 43,778 | 43778 | |
O-linear Weil-pairing on abelian varieties with real multiplication
up vote 5 down vote favorite
1
Let $A/k$ be an abelian variety with real multiplication by some ring of integers $\mathcal O \subset F$. Let $n$ be an integer prime to the characteristic of $k$.
We have the standart $e_n$ pairing $A[n] \times A^\vee... | 4 | [
-0.080078125,
-0.000514984130859375,
-0.0225830078125,
0.00897216796875,
-0.02685546875,
0.05859375,
0.06787109375,
-0.06396484375,
0.01239013671875,
-0.08154296875,
0.1123046875,
0.042236328125,
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0.0027008056640625,
0.0244140625,
0.11572265625,
-0.0478515625,
0.0605... | 43,779 | 43779 | |
A
summary of the BDD algorithm in ACL2
Major Section: BDD
The BDD algorithm in ACL2 uses a combination of manipulation of IF terms and unconditional rewriting. In this discussion we begin with some relevant mathematical theory. This is followed by a
description of how ACL2 does BDDs, including concluding discussions... | 5 | [
-0.10107421875,
0.00193023681640625,
0.04248046875,
-0.026123046875,
0.01251220703125,
-0.01434326171875,
0.0186767578125,
-0.054931640625,
0.051513671875,
-0.04296875,
-0.0216064453125,
0.0244140625,
0.111328125,
-0.043212890625,
-0.003936767578125,
0.0771484375,
0.044189453125,
0... | 43,780 | 43780 | |
An Intuitive Explanation of Phase
An Intuitive Explanation of Phase Conjugation
Email:
Phase Conjugation
Phase conjugation is a fascinating phen... | 4 | [
-0.0150146484375,
-0.0031585693359375,
0.08837890625,
-0.019287109375,
-0.00653076171875,
-0.0693359375,
0.0458984375,
-0.019287109375,
0.04248046875,
-0.01324462890625,
-0.046630859375,
0.033447265625,
-0.01507568359375,
-0.0673828125,
0.0159912109375,
-0.0279541015625,
0.0080566406... | 43,781 | 43781 | |
ractice
Practice
practice problem 1
A 100 N sign is to be suspended by two cables. Determine the tension in each cable for the given angles …
a. 90°, 90° b. 180°, 45° c. 120°, 30°
solution
For all solutions, let T[1] be the cable on the left and T[2] be the cable on the right. The sign always has weight (W),... | 4 | [
-0.10400390625,
0.01953125,
-0.03564453125,
-0.00653076171875,
-0.0380859375,
-0.0263671875,
0.003509521484375,
0.072265625,
-0.023681640625,
0.0693359375,
0.042236328125,
-0.05029296875,
0.054931640625,
0.061767578125,
-0.09130859375,
0.0267333984375,
-0.039306640625,
0.0197753906... | 43,782 | 43782 | |
Show that complex product does not converge
June 3rd 2013, 02:36 AM #1
Dear MHF members,
I have the following product of complex numbers
$\prod_{j=1}^{\infty}\bigg[\frac{1}{2^{j}}+\mathrm{i}\bigg(1-\frac{1}{2^{j}}\bigg)\bigg]$
and Mathematica shows me that the product accumulates to 4 different points... | 5 | [
-0.08251953125,
-0.08251953125,
-0.0693359375,
0.046630859375,
0.0498046875,
-0.0888671875,
0.1005859375,
0.0810546875,
0.02783203125,
0.0025482177734375,
-0.0712890625,
-0.0172119140625,
0.109375,
0.047607421875,
-0.01141357421875,
-0.00909423828125,
-0.0189208984375,
-0.064453125... | 43,783 | 43783 | |
Clapeyron Equation
The Clapeyron equation (also called the Clausius-Clapeyron equation) relates the slope of a reaction line on a phase diagram to fundamental thermodynamic properties.
What is the Clapeyron Equation?
The reaction brucite = periclase + H[2]O. This reaction has a typical shape for a dehydration (or de... | 5 | [
-0.1259765625,
0.0038909912109375,
0.048828125,
0.01312255859375,
-0.0108642578125,
-0.00799560546875,
-0.0537109375,
0.06201171875,
0.08154296875,
-0.00067138671875,
-0.059814453125,
-0.0267333984375,
0.006988525390625,
-0.0196533203125,
-0.05712890625,
-0.03955078125,
-0.1225585937... | 43,784 | 43784 | |
th
Math::Project3D - Project functions of multiple parameters from R^3 onto an arbitrary plane
I'll start explaining what this module does with some background. Feel free to skip to DESCRIPTION if you don't feel like vector geometry.
Given a function of three components and of an arbitrary number of parameters, plus ... | 4 | [
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Curvature of an ellipse
October 15th 2012, 04:07 PM #1
Newbie
Joined
Oct 2012
From
United States
Posts
12
Curvature of an ellipse
I'm asked to calculate the curvature of an ellipse:
(x^2/a^2)+(y^2/b^2)=1
The professor is setting x(t) = acos(t) and y(t) = bsin(t)
but I don't know why.
... | 5 | [
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IntroductionCircuit Models of Series-Connected Piezoelectric Elements with Parasitic CapacitancesEquivalent Circuit Models of Piezoelectric ElementsAnalytical Procedure for Evaluating the Influence of the Parasitic CapacitanceInfluence of the Parasitic CapacitancesCalculations for PZT Elements with Uniform StressCalcul... | 4 | [
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Applied Maths and Physics problem
June 26th 2007, 04:38 AM #1
Newbie
Joined
Jun 2007
Posts
4
This is a complex physics problem that requires you to apply your knowledge, some things (such as friction, and speed barriers) do not act as they would in the real world. Can you tip the tank
off the edge?
... | 4 | [
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function problem
December 8th 2008, 10:09 AM #1
Newbie
Joined
Nov 2008
Posts
14
function problem
A company sell x units of a product whose profit is given by the function P(X)=20X-X^2
A) how many units should the business sell in order to maximize profits = 10
B)How much is the maximum profit ... | 4 | [
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Math Help
Please see attachment. My workings are - I am stuck on Volume part. (b) and (c) Please help.
Easiest way to do this is to use shell method (I find). $2\pi\int\limits_{a}^{b}(y + 1)Rdy$ Where b and a are the y values where the two functions intersect, and R is the equation for the height of
the shell. Basica... | 4 | [
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What do representations of infinite-dimensional Heisenberg groups look like?
up vote 4 down vote favorite
I'm interested in an infinite dim'l Heisenberg group associated to the vector space $V = L\mathbb{C}/\mathbb{C}$ = {$f \colon S^1 \to \mathbb{C}$|$f$ smooth}/(const. maps). The group is $\mathbb{C}^\
times \times ... | 4 | [
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Searching with Quantum Computers
A high-speed quantum algorithm for exhaustive searching
Lov is a researcher at Bell Labs, the research arm of Lucent Technologies. Lov can be contacted at lkgrover@bell-labs.com.
When solid-state transistors were first invented in 1947, they were a few centimeters wide. Since then, th... | 4 | [
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Sample KMAT Questionsb.ppt
“If 7 + 2 = 9, then 9 = 7 + 2” illustrates
which property?
A. Associative Property of Addition
B. Commutative Property of
Addition
C. Distributive Property
D. Symmetric Property
Use the distributive property to
simplify the following expr... | 4 | [
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Where am I going wrong?
December 30th 2012, 09:52 AM #1
Junior Member
Joined
Jul 2012
From
Who knows anymore
Posts
27
Where am I going wrong?
In my textbook i have the problem:
f(x)=cos^-1(sin(x))
And the answer in the back of the textbook is -1
What i did was:
f'(x) = -1/(sqrt(1-... | 5 | [
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Lindemann
We will now give the first of several examples of finding rate laws from a proposed mechanism consisting of elementary reaction steps:
The Lindemann Mechanism
(This mechanism is sometimes called the Lindemann-Hinshelwood mechanism. Lindemann found it and Hinshelwood polished it.)
There is a class of gas-ph... | 5 | [
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Higher-dimensional Catalan numbers?
up vote 19 down vote favorite
9
One could imagine defining various notions of higher-dimensional Catalan numbers, by generalizing objects they count. For example, because the Catalan numbers count the triangulations of convex
polygons, one could count the tetrahedralizations of conv... | 5 | [
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Slide 1 - Matrix functions_ quadrature formulas_ and rational
Matrix functions, quadrature formulas,
and rational approximation
Nick Trefethen, Oxford University
With thanks to
André Weideman Thomas Schmelzer
... | 4 | [
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Estimate Microstrip Substrate Relative Dielectric Constant
Firas Mohammed Ali
Al-Raie
Department Head
The Polytechnic Higher Institute of Yefren, Libya,
Department of Electronic Engineering,
e-mail: firas@ieee.org
Microstrip lines are commonly used in microwave circuits, although their performance is subject to the ty... | 4 | [
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Determinant of Matrix (17-11)
Source:
Mailed by Sudeep Kamath (EECS PhD Student, UC Berkeley, EE IITB 2008 Alumnus)
Problem:
A is a 300 x 300 matrix with 17 on the diagonal, and the rest of the entries being 11. What is det (A) ?
Update: (21 June 2014):
Solution posted by Gowtham R (Stanford), Justin Rising, Pavan... | 5 | [
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