content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Order of integration
August 25th 2009, 02:07 PM #1
Member
Joined
Nov 2008
Posts
121
Order of integration
If I evaluate an integral
$\int {1 \over 3x}dx = \ln {3x} + \ln c$
or the constant can be brought outside: $\int {1 \over 3x}dx = {1 \over 3}\int {1 \over x} dx = {1 \over 3} \ln x + \ln c$
... | 5 | [
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... | 9,200 | 9200 | |
A box contains 36 identical sweets
November 24th 2010, 11:06 AM #1
Newbie
Joined
Nov 2010
Posts
10
A box contains 36 identical sweets
How many different ways can the sweets be divided among 6 kids so that each of them receives atleast 3 sweets?
Firstly I'd give each of them 3 sweets, a total of 18.
... | 4 | [
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0.035888671875,
-0.02099609375,... | 9,201 | 9201 | |
Sets without squares
March 23rd 2008, 09:14 AM #1
Junior Member
Joined
Nov 2007
Posts
33
Sets without squares
Let $S_i$ be the set of all integers $n$ such that $100i\leq n < 100(i + 1)$. For example, $S_4$ is the set $\{400,401,402,\ldots,499\}$. How many of the sets $S_0, S_1, S_2, \ldots, S_{999}$ do
... | 4 | [
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... | 9,202 | 9202 | |
Cournot-Nash Equilibrium Problem, wrong reaction curve?
April 24th 2012, 03:56 PM #1
Newbie
Joined
Apr 2012
From
USA
Posts
1
Cournot-Nash Equilibrium Problem, wrong reaction curve?
Hey all, i posted this over at reddit math help but they didn't respond and the one responder said i made a mistake but ... | 5 | [
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extrema, inflection pts help!
March 5th 2009, 03:38 AM #1
Newbie
Joined
Feb 2009
Posts
17
extrema, inflection pts help!
the problem is asking to find the local maxima and minima of the function. and determine whether the function has aboslute maxima and minima.
the equation is: y=ln(x^2+1)-x, x is al... | 5 | [
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Java ILP - Java Interface to ILP Solvers
Links
Introduction
Java ILP is a java interface to integer linear programming (ILP) solvers. There exist several ILP solvers, free or commercial, that offer a java interface. However, these java interfaces are mostly
adapted from the c/c++ code leading to a complicated config... | 5 | [
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0.014709472656... | 9,205 | 9205 | |
On solution of a discrete-time equation
up vote 2 down vote favorite
Hello, members. I have a problem for the following problem when I derive an optimization algorithm for stochastic singular systems $$S(k+1)=A(k)S(k)A^{T}(k)+R(k)+F(k)S(k+1)F^{T}(k)$$ where $R(k)>=0$
So, how to calculate $S$, is there analytic solutio... | 4 | [
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Congruence Proofs: Summations
October 28th 2009, 06:52 AM #1
Newbie
Joined
Sep 2009
Posts
10
Congruence Proofs: Summations
Although I can prove these algebraically via induction, how are the following proved using modular arithmetic (where "=" means "congruent to")?
1+2+...+(n-1)=0 mod n iff n is od... | 4 | [
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Trig equation and identities
April 20th 2009, 10:10 PM #1
Junior Member
Joined
Sep 2008
From
Canada
Posts
42
Trig equation and identities
Sitting here studying for a final exam this week, and I am SOO bad at identities. Maybe I just don't know them well enough.
Anyhow,
Find the solutions to ... | 4 | [
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0.060058593... | 9,208 | 9208 | |
Another Logarithm Equation: Not sure how to solve for x properly.
September 21st 2010, 01:19 AM
BinaryBoy
Another Logarithm Equation: Not sure how to solve for x properly.
Hi again,
I am stuck on another logarithmic equation:
log3 x - 2 = log3 (x - 8)
Now, I assume log3 cancels out, which leaves:
... | 4 | [
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inverse function of natural log?
July 5th 2010, 07:17 PM #1
Newbie
Joined
Jul 2010
Posts
2
inverse function of natural log?
For the problem f(x) = 1 - ln(x - 2) how would I find the inverse (f^-1) ? And how would I confirm that algebraically?
Thanks.
You have $y = 1 - \ln{(x - 2)}$.
To fi... | 4 | [
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Mean Value Theorem Question
April 26th 2010, 06:50 AM #1
Newbie
Joined
Apr 2010
Posts
17
Mean Value Theorem Question
Hi,
Here's the problem:
If f(x) = x³ - x² - 4x + 2 and 0 ≤ x ≤ 3. For what value of c is the conclusion of the mean value theorem true?
The answer is:
(1 + sqrt19) / 3
... | 5 | [
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ARC Length Help!!
June 2nd 2008, 03:55 PM
07 Yamaha R6
ARC Length Help!!
hey, guys and gals,
just wanted to see if any of you can direct me towards the correct way of
approaching this problem.
the problem asks to find the arc length of y=e^2x
now ive obtained the derivative dy/dx to be
2e^2x... | 5 | [
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History Of The Theory Of Numbers - I
148 HISTORY OF THE THEORY OF NUMBERS. [CHAP, v
if pi, . . ., pq are the distinct prime factors of n. In fact, there are nk sets of k integers gn, while (n/p^k of these sets have the common divisor plt etc., whence
Jordan noted the corollary: if n and... | 4 | [
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0.005035400390... | 9,213 | 9213 | |
Dealing with Multivariate Limits?
April 13th 2009, 10:31 PM #1
Newbie
Joined
Apr 2009
Posts
2
Dealing with Multivariate Limits?
Just revising, and came across a few limits I couldn't remember how to prove.
1. lim(x,y)-->(0,0) (cosx-1+x^2/2)/(x^4-y^4)
2. lim(x,y)-->(0,0) (y-2x+sin2x)/(x^3+y)
... | 5 | [
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Cholesky Rank-1 downdate extension
up vote 4 down vote favorite
If we have a matrix $K$ we can take do a rank-1 downdate of its Cholesky $L = chol(K)$ to find $L_\star = chol(K - v v^\top)$ in $O(N^2)$ time as opposed to $O(N^3)$ time for doing the Cholesky from
scratch. It is even implemented in the MATLAB command ch... | 4 | [
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rational functions
March 10th 2008, 09:07 PM
woooo
rational functions
sorry for asking this again, i need to finish this by today so that i can submit this by tom..
Sketch the graph of function Q(x) = x^3 - 1 / x^3 + 1. Determine the prime
factorization of Q(x) and graph the polynomial function.
Th... | 4 | [
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Basic Probability Question Help
October 4th 2010, 06:10 AM
armani
Basic Probability Question Help
I need help with 2 questions:
1) In a shipment of 18 trucks to a local truck dealer, there are 4 trucks that don't have air conditioning. Assume you select 4 trucks at random.
What is the probability that ... | 4 | [
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algebraic fractions
Well as you know, to add fractions we need a common denominator, the easiest thing to do when you have polynomials in the denominator is to create a common denominator by multiplying them together,
so for this problem, our common denominator will be x(x+1) Also remember, that we can multiply things ... | 4 | [
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When is a finitely generated group finitely presented?
up vote 12 down vote favorite
6
I think the question is very general and hard to answer. However I've seen a paper by Baumslag ("Wreath products and finitely presented groups", 1961) showing, as a particular case, that the
lamplighter group is not finitely present... | 5 | [
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extended real valued function bounded below and attains its minimal value
September 11th 2010, 01:56 PM
morito14
extended real valued function bounded below and attains its minimal value
Let f(x) be a real-valued function (an extended real valued function) on a metric space (M; d). Then
$\lim\sup_{x\rightarr... | 4 | [
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E(x) of exponential random variable, joint density, and elevators +cov of multinomial
April 28th 2009, 08:28 PM
Cheezburger
E(x) of exponential random variable, joint density, and elevators +cov of multinomial
So, I've been working on a bonus review for a few hours now and have hit places where I'm not sure and ... | 4 | [
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Advanced Math.
Posted by Jamie on Monday, March 23, 2009 at 11:58am.
List the possible rational roots of 2x^3 + 17x^2 + 23x - 42 = 0
My answer: the possible rational roots are {±1, ±2, ±3, ±6, ±7, ±14, ±21, ±42. ±1/2, ±3/2, ± 7/2, ±21/2}.
Correct?
• Advanced Math. - Reiny, Monday, March 23, 2009 at 1:08pm
ye... | 4 | [
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sphere
Context
Topology
Basic concepts
Theorems
Examples
Manifolds and cobordisms
Contents
Definition
Finite-dimensional spheres
The $n$-dimensional unit sphere , or simply $n$-sphere, is the topological space given by the subset of the $(n+1)$-dimensional Cartesian space $\mathbb{R}^{n+1}$ consisting of all p... | 4 | [
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-0.... | 9,223 | 9223 | |
Normal subgroup
Let G be a group and let H<=G with [G:H]=2 show that H normal subgroup of G
$H$ is a normal subgroup if and only if $aH=Ha$. Create the cosets $G/H$. If $a\in H$ then $aH=Ha$ because $G/H$ partitions the set $G$ into two sets. If $a\in G-H$ then $aHot = H$ and $Haot = H$
thus $aH=Ha$ again because $G/H... | 5 | [
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-0... | 9,224 | 9224 | |
vanishing of local cohomology $H^2_{(x,y)}\left(\frac{\Bbb Z[x,y]}{(5x+4y)}\right)=0$
up vote 3 down vote favorite
1
Edited:
I guess
$$H^2_{(x,y)}\left(\frac{\Bbb Z[x,y]}{(5x+4y)}\right)=0$$
We know that if $\operatorname{Supp} H^i_I(M)\subseteq V(I)\cap \operatorname{Supp}(M)$, then $$\operatorname{Supp} H^2_{(x,... | 5 | [
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0.00... | 9,225 | 9225 | |
Maths test question
January 24th 2010, 07:01 AM #1
Junior Member
Joined
Jan 2010
Posts
65
Maths test question - Engineering Mathematics
Hello Can someone please help me out with the following qustion...
The radius of a Cylinder is reduced by 4% and its height is increased by 2%
(a)Determine the... | 5 | [
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0.125,
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[Numpy-discussion] Correlation filter
josef.pktd@gmai... josef.pktd@gmai...
Mon Nov 23 00:32:03 CST 2009
On Fri, Nov 20, 2009 at 4:27 PM, <josef.pktd@gmail.com> wrote:
> On Fri, Nov 20, 2009 at 2:28 PM, Keith Goodman <kwgoodman@gmail.com> wrote:
>> On Fri, Nov 20, 2009 at 11:17 AM, <josef.pktd@gmail.com> wrote:
>>>... | 4 | [
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Greatest Common Factor
Date: 03/28/97 at 01:09:08
From: Andy
Subject: Greatest Common Factor
How do you find the greatest common factor?
Date: 04/01/97 at 19:02:55
From: Doctor Steven
Subject: Re: Greatest Common Factor
Donald Knuth has come up with an extremely easy to understand
algorithm to compute the greates... | 4 | [
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... | 9,228 | 9228 | |
[SOLVED] Rotation?
May 19th 2009, 09:26 AM #1
[SOLVED] Rotation?
A man of mass 80 kg mass is standing on the rim of a circular platform rotating about its axis. The platform with the man on it rotates at 12 r.p.m. How will the system rotate, if the man moves
to the platform's centre? What work will the man pe... | 5 | [
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0.116210937... | 9,229 | 9229 | |
Basic Derivative
July 15th 2007, 05:43 PM #1
Newbie
Joined
Jul 2007
Posts
16
Basic Derivative
What is the derivative of:
$<br /> t^{2} sin bt<br />$
Would that be the product Rule or the Chain Rule?
A bit of both:
$f(t) = t^2 \cdot sin(bt)$
$f^{\prime}(t) = (t^2)^{\prime} \cdot si... | 5 | [
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Probability, Expectation, Cov
August 14th 2009, 04:28 AM
Maccaman
Probability, Expectation, Cov
Let X and Y be 2 random variables with $|\mathbb{E}[X]|, |\mathbb{E}[Y]|,$and $|\mathbb{E}[\frac{X}{Y}]|$ all finite, and with $\mathbb{P}(Y = 0) = 0$ and $\mathbb{E}[Y] e 0$.
Prove that $\mathbb{E}[\frac{X}{Y}] =... | 5 | [
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newtons method(finding solutions)
April 1st 2010, 09:55 AM #1
Newbie
Joined
Feb 2010
Posts
21
newtons method(finding solutions)
we first used newtons method to find the approximate value of 200^(1/7) and got it equal to the awnser in the caclulator which is = 2.131663117
i need some help in the righ... | 5 | [
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Exponents in the Real World
Date: 11/23/97 at 08:36:35
From: Cairna
Subject: Exponents
How come we have to know how to add, subtract, multiply, and divide
exponents?
In the real world when do you use exponents? When do you add them?
When do you subtract them? What about multiplying exponents? When do
you divide ex... | 4 | [
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Achieving a Desired Profit and Break-even Point in Dollars | AccountingCoach
Desired Profit In Units
Let's say that the owner of Oil Change Co. needs to earn a profit of $1,200 per week rather than merely breaking even. You can consider the owner's required profit of $1,200 per week as another fixed
expense. In other ... | 4 | [
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GeoGebra math software
GeoGebra math software – a review
By Murray Bourne, 20 Aug 2007
[Updated, May 2014: GeoGebra is still under active development and is now in version 4.4. The following tutorial is still relevant and it will get you started. The key features have not changed much,
but there are now several more... | 4 | [
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Help with computing a series
November 5th 2012, 04:56 AM
99.95
Help with computing a series
imgur: the simple image sharer
Would someone mind explaining how they get
Icos(theta) + Asin(theta)
Additionally, or a more urgent matter I don't understand what's happened here:
imgur: the simple imag... | 5 | [
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... | 9,236 | 9236 | |
Math Forum Discussions
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Topic: OT: Public key cryptography [22+ min]
Replies: 2 L... | 4 | [
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need help with hyperbola and ellipse
i have the eqautions 5x^2 + 9y^2=45 16x^2-4y^2+64=0 how do i make these into the hyperbola and ellipse form
$5x^2 + 9y^2=45$ $\frac{5x^2}{5} + \frac{9y^2}{5}=\frac{45}{5}$ $x^2 + \frac{9y^2}{5}=9$ $\frac{x^2}{9} + \frac{9y^2}{9\times 5}=\frac{45}{9\times 5}$ $\frac{x^2}{9} + \frac{... | 4 | [
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0.... | 9,238 | 9238 | |
Asymptotics for the number of partitions of $n$ into odd prime parts
up vote 3 down vote favorite
1
Hello!
I am interested in the asymptotic behavior of the function $p_o(n)$ defined as the number of partitions of $n$ into odd prime parts A099773 - http://oeis.org/A099773 .
I couldn't find any paper or book studying... | 4 | [
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Independence and Negation
Two events A,B are said to be statistically independent if and only
if
P(A and B) = P(A)P(B)
Intuitively it's clear that if A and B are independent events, then
A and B' (the negation of B) must also be independent. To demonstrate
this formally, notice that we have
P(... | 4 | [
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The Box-Cox power transformation on nursing sensitive indicators: Does it matter if structural effects are omitted during the estimation of the transformation parameter?
Abstract
Background
Many nursing and health related research studies have continuous outcome measures that are inherently non-normal in distribution... | 4 | [
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ODE Word Problem
April 16th 2010, 01:46 PM
cdlegendary
ODE Word Problem
Drug Metabolism The rate at which a drug is absorbed into the bloodstream is modeled by the first-order differential equation:
http://homework.math.ucsb.edu/webwor...a12d8e9041.png
where $a$ and $b$ are positive constants and $C(t)... | 5 | [
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Antilogs
Date: 08/22/2001 at 09:28:06
From: Cedric
Subject: Antilogs
If log sub(a)10 = 0.250, then log sub(10)a equals ?
Breakdown:
log sub(a)10 = 0.250
The solution requires me to the take the base(a) antilogarithm of
both sides. That would be
10 = a^0.250.
I would like to know why is this the final answer.
... | 4 | [
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Help with volume of cross-sections please!
January 15th 2009, 08:32 PM #1
Member
Joined
Dec 2008
Posts
228
Help with volume of cross-sections please!
Straight from my book:
"The base of a solid is the region in the xy-plane bounded by Y = Sinx, the X-axis, X = 0, and X = pi/2. What is the volume of ... | 5 | [
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How would i modify this script If i wanted to do integer only Gaussian elimination on a system of linear equations (Ax=b)?
function [x] = IntegerGaussrevised(A,b)
n = size(A,1); %getting n
A = [A,b]; %produces the augmented matrix
%elimination process starts
for i = 1:n-1
p = i;
%comparison to se... | 4 | [
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0.024658203125,
... | 9,245 | 9245 | |
Math Forum Discussions
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Topic: heyy
Replies: 1 Last Post: May 9, 2013 1:00 PM
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Capped binomial random variables
up vote 3 down vote favorite
1
Consider a random variable $X = \sum_{i=1}^{m} X_i$, where each $X_i$ is an indicator random variable that is $1$ with probability $k/m$ and $0$ otherwise. We are interested in the quantity $S_X(m) =
E[\min(X,k)]$. The motivation is that we have a bin of ... | 5 | [
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Arrangements of Objects
Permutations (Arrangements of Objects):
The number of permutations of n objects, taken r at a time, is the total number of arrangements of n objects, in groups of r where the order of the arrangement is important.
(i) Without repetition
... | 4 | [
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High precision alignment of cryo-electron subtomograms through gradient-based parallel optimization
Abstract
Background
Cryo-electron tomography emerges as an important component for structural system biology. It not only allows the structural characterization of macromolecular complexes, but also the detection of
th... | 4 | [
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Simplify the following:
Re: Simplify the following:
Re: Simplify the following:
bob bundy wrote:
At first, I did not spot that this is the difference of two squares. But then I noticed that (q^2 - 6qr + 9r^2) is a perfect square:
So try this:
put P = 3p and Q = (q - 3r) and use
Bob
Last but not t... | 4 | [
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xyz^2=5 shortest distance
May 26th 2008, 12:45 PM #1
Newbie
Joined
May 2008
Posts
2
xyz^2=5 shortest distance
Given the surface xyz^2=5. Prove that on this surface there exists a point closest to the origin, and find that point.
Justify your solution.
Thanks alot!
You could try a LaGrange ... | 5 | [
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Distance problem
February 1st 2008, 05:32 AM #1
Junior Member
Joined
Sep 2007
Posts
60
Distance problem
Two trains, one starting at Point A and the other at Point B, travel toward one another.
Train #1 travels at 140km/h towards Point B, while Train #2 travels at 120km/h towards Point A.
If the t... | 4 | [
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A simple question based on limits
February 6th 2008, 06:26 AM #1
iamtheone
Guest
A simple question based on limits
i know the theorem that,
when lim x tends to 0, then (sinx)/x=1.
then my question is
when lim x tends to 0, then what is sinx ?
is the answer 0 or x?
(i just know that we can... | 5 | [
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Homework 2.3
Math For Liberal Arts I
Solutions to Homework: Section 2.3, pages 46-47, #1, 3, 4, 8, 12
#1, page 46. What is the probability that, on two successive rolls of two dice, a sum of 7 comes up both times?
SOLUTION: We first need to compute the probability of rolling a seven on a single roll of a pair of dic... | 5 | [
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0.0277099609375,
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-0.00170135498046875,
0.07177734375,
0.0225830078125,
0.030029296875,
-0.016845703125,
-0.0308837890625,
0.00616455078125,
0.006134033203125,
-0.0654296875,
-0.032958984375,
0.00885009765625,
-0.104492... | 9,254 | 9254 | |
Simple Worded Problem
December 10th 2013, 03:28 PM #1
Member
Joined
Jan 2013
From
Australia
Posts
160
Thanks
3
Simple Worded Problem
It's been far too long since I've picked up my maths books.
An aircraft, used for fire spotting, flies from its base to locate a fire at an unknown distance, x... | 4 | [
0.044921875,
0.0615234375,
-0.006591796875,
-0.0089111328125,
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0.01226806640625,
0.0224609375,
-0.05029296875,
0.078125,
0.0654296875,
-0.03466796875,
0.052734375,
0.044677734375,
-0.00531005859375,
0.028076171875,
-0.0245361328125,
-0.0123291015... | 9,255 | 9255 | |
Extremal question on matrices
up vote 15 down vote favorite
8
The following question was posed to me a while ago. No one I know has a given a satisfactory (or even a complete) proof:
Suppose that $M$ is an $n$ x $n$ matrix of non-negative integers. Additionally, suppose that if a coordinate of $M$ is zero, then the s... | 5 | [
0.02001953125,
0.00286865234375,
-0.10107421875,
0.0262451171875,
0.017822265625,
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0.0615234375,
-0.007476806640625,
-0.0322265625,
0.09619140625,
0.150390625,
0... | 9,256 | 9256 | |
Minimum Message Length (MML)
Minimum message length (MML) inference was devised by Chris Wallace and David Boulton c1968 and developed by Chris Wallace and many colleagues. MML is a Bayesian method of inference:
Bayes's theorem:
pr(H&D) = pr(H).pr(D | H) = pr(D).pr(H | D)
pr(H | D) = pr(H&D) / pr(D) ∝ pr(H).pr... | 4 | [
-0.00799560546875,
0.006378173828125,
0.053955078125,
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-0.0262451171875,
0.046630859375,
0.150390625,
0.03662109375,
0.0419921875,
0.0289306640625,
0.056640625,
-0.0269775390625,
-0.05126953125,
0.032470703125,
0.083984375,
0.025390... | 9,257 | 9257 | |
[SciPy-User] curve_fit errors
josef.pktd@gmai... josef.pktd@gmai...
Wed Aug 5 12:53:01 CDT 2009
On Wed, Aug 5, 2009 at 1:31 PM, <josef.pktd@gmail.com> wrote:
> On Wed, Aug 5, 2009 at 11:56 AM, Pim
> Schellart<P.Schellart@student.science.ru.nl> wrote:
>> Hi Everyone,
>>
>> I am using the curve_fit wrapper around optim... | 4 | [
-0.0712890625,
-0.0791015625,
0.0079345703125,
0.04931640625,
0.01129150390625,
-0.039794921875,
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0.1044921875,
-0.10888671875,
0.0267333984375,
0.028564453125,
-0.00634765625,
0.06884765625,
-0.0140380859375,
-0.0118408203125,
0.01171875,
-0.0390625,
-0.1030273437... | 9,258 | 9258 | |
Find the exact values
July 9th 2008, 06:24 AM
christenc05
Find the exact values
For each pair of values of sin(`theta) and cos(`theta), find the exact values of the four remaining trigonometric functions, when this is possible; otherwise find the four remianing functions to
3 significant figures:
sin(`t... | 4 | [
-0.050537109375,
0.014404296875,
-0.03759765625,
0.000640869140625,
0.0072021484375,
-0.0029296875,
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0.035400390625,
0.021484375,
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0.09814453125,
0.041748046875,
-0.01953125,
-0.083984375,
0.002288818359375,... | 9,259 | 9259 | |
Phi function help
July 27th 2008, 08:40 PM
Pn0yS0ld13r
Phi function help
The Euler Phi function http://www.texify.com/img/%5CLARGE%5...phi%28n%29.gif counts the number of positive integers less than or equal to n, which are relatively prime to n.
Prove that if n is odd, then http://www.texify.com/img/%5CLAR... | 5 | [
-0.05712890625,
0.0245361328125,
0.07373046875,
0.032958984375,
0.057373046875,
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0.09765625,
0.083984375,
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0.0400390625,
0.00445556640625,
-0.003448486328125,
-0.05126953125,
-0.05078125,
-0.030517578125,
-0.0... | 9,260 | 9260 | |
Number Theory (8)
July 30th 2008, 06:34 AM #1
Junior Member
Joined
Apr 2008
From
Gainesville
Posts
68
Number Theory (8)
Let m and n be positive integers with (m,n) =1. Prove that each divisor d>0 of mn can be written uniquely as d1d2 where d1,d2>0, d1 divides m, d2 divides n, and (d1,d2) =1 and each ... | 4 | [
-0.1123046875,
-0.0303955078125,
-0.00555419921875,
-0.10302734375,
0.01531982421875,
-0.07421875,
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0.0218505859375,
-0.0084228515625,
-0.0625,
0.031005859375,
0.006805419921875,
0.037841796875,
-0.054931640625,
-0.02490234375,
0.03564453125,
-0.055419921875,
0.06884... | 9,261 | 9261 | |
Homework Help
Posted by Vic on Monday, May 30, 2011 at 12:26am.
I was just wandering if this was correct?
1. Your company is planning to spend no less than $80,000 and no more than $100,000 on a landscaping project, which will be used as a promotional park that promotes your toaster manufacturing
company. Write an in... | 4 | [
0.08984375,
0.09130859375,
0.021484375,
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-0.04345703125,
-0.046875,
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-0.015625,
0.09716796875,
0.00390625,
0.017333984375,
-0.06103515... | 9,262 | 9262 | |
Math Forum Discussions
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Topic: Central Limit Theorem hypotheses: which moments ne... | 4 | [
-0.061279296875,
-0.1123046875,
0.033935546875,
-0.0166015625,
0.0791015625,
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0.06640625,
0.111328125,
0.0703125,
0.07275390625,
0.033935546875,
0.053466796875,
-0.029541015625,
0.021484375,
-0.00077056884765625,
-0.020263671875,
-0.04638671875,
... | 9,263 | 9263 | |
Differentiation of Complex Numbers
March 19th 2009, 08:01 AM
bex23
Differentiation of Complex Numbers
a)
Find the deriviative of the following function and specify the domain of this derviative
f(z)=[Log(4z-i)]/z^2
b)
Use the defintion of the derivative to prove that the function
f(z)=Im z... | 4 | [
0.042724609375,
0.05517578125,
-0.0286865234375,
0.01446533203125,
-0.047607421875,
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0.030517578125,
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0.046630859375,
0.08203125,
0.02294921875,
0.041015625,
-0.005401611328125,
-0.01147460... | 9,264 | 9264 | |
Integrating complex numbers
September 5th 2009, 01:28 PM #1
Junior Member
Joined
Feb 2009
Posts
38
Integrating complex numbers
I was asked to evaluate the following:
$\oint _C \frac{dz}{z^2-1}$
where C is the circle $\left | z \right |=2$
Well I figure that is the function $f(z)= \frac{1}{z^2... | 5 | [
-0.016845703125,
0.036376953125,
-0.0250244140625,
0.07861328125,
0.06982421875,
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0.09912109375,
0.0203857421875,
0.080078125,
-0.0234375,
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0.09716796875,
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-0.049560546875,
0.0012054443359375,
-0.028... | 9,265 | 9265 | |
Physics/ Engineering
Posted by Aaron on Saturday, February 11, 2012 at 9:30pm.
Calculate the moment about a point (5; 4; 3) ft. caused by the forces
P = 3^i - 2^j - 4^k lb. and Q = 5^i + 7^j - 2^k lb. acting at the points
(7; 2; 2) ft. and (3; 2; 5) ft., respectively.
What I did was this;
vector r1= (7,2,2) - (5,4... | 4 | [
0.0172119140625,
0.0322265625,
-0.000789642333984375,
-0.0419921875,
0.0157470703125,
0.013916015625,
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0.0859375,
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0.06201171875,
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-0.0167236328125,
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0.036865234375,
-0.0595703125,
0.04296875,
-0.024169921875,
0.02... | 9,266 | 9266 | |
Third degree
July 5th 2006, 09:08 AM
kwtolley
Third degree
Find the third degree polynomial whose graph is shown in the figure. My answer is f(x)= 1/4x^3 - 1/4x^2 +2x+2, but I'm not sure. Thanks for checking my answer.
July 5th 2006, 09:22 AM
CaptainBlack
Quote:
Originally Posted by kwtolley
Fi... | 4 | [
-0.0130615234375,
0.01397705078125,
-0.0291748046875,
0.054443359375,
0.000774383544921875,
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0.003997802734375,
0.043701171875,
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0.0137939453125,
0.042724609375,
0.0296630859375,
0.00762939453125,
-0.0154... | 9,267 | 9267 | |
Need answer
If g'(3) = 4 and h'(3) = -1 , find f '(3) for f(x) = 5g(x) + 3h(x) + 2
Initial equation $f(x) ~~=~~ 5~g(x) ~~+~~ 3~h(x)$ Take the derivative $\frac{d}{dx}[ ~f(x)~] ~~=~~ \frac{d}{dx}[~5~g(x) ~~+ ~~3~h(x)~]$ Split the derivative on the right side $\frac{d}{dx}[ ~f(x)~]
~~=~~ \frac{d}{dx}[~5~g(x)~] ~~+ ~~\fr... | 4 | [
-0.1259765625,
-0.02783203125,
0.11962890625,
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0.0206298828125,
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0.0986328125,
0.04736328125,
-0.046875,
0.029296875,
-0.07373046875,
0.01177978515625,
0.041015625,
-0.0732421875,
0.0830078125,
-0.... | 9,268 | 9268 | |
Math Forum Discussions
Math Forum
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Discussions
Internet Newsletter
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Solve without vars
Replies: 4 Last Post: Apr 6, 20... | 5 | [
-0.07080078125,
-0.032470703125,
-0.005950927734375,
0.1005859375,
-0.014404296875,
0.0225830078125,
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0.0625,
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0.0220947265625,
0.05517578125,
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0.126953125,
-0.1259765625,
-0.09765625,
-0.... | 9,269 | 9269 | |
Four 4's: Urgent help needed
December 6th 2007, 12:01 PM #1
Newbie
Joined
Nov 2007
From
Missouri
Posts
3
Hey all,
I could really use some help with this one:
Using four 4's and any combination of math operations, represent as many of the whole numbers 1-100 as you can.
I found operatio... | 4 | [
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0.04345703125,
-0.0181884765625,
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-0.078125,
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-0.032958984375,
0.045166015625,
-0... | 9,270 | 9270 | |
Orthogonally diagonalize the matrix
How do you orthogonally diagonalize the following matrix: $<br /> A=\begin{pmatrix}1&0&0\\0&3&-2\\0&-2&3\end{pmatrix}<br />$
hi You need to find the eigenvalues of the matrix, and find the corresponding eigenvectors. Do you know how to do this? $A = PDP^{T}$ , since A is orthogonall... | 5 | [
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0.000029325485229492188,
-0.040283203125,
0.005645751953125,
-0.0361328125,
0.0031280517578125,
-0.0202... | 9,271 | 9271 | |
homomorphism
September 28th 2008, 08:19 PM
dori1123
homomorphism
Show that if H is any group and $h$ is an element of $H$ with $h^n = 1$, then there is a unique homomorphism from $Z_n = <x>$ to $H$ such that $x$ --> $h$.
Please help. Thank you.
September 29th 2008, 11:03 PM
NonCommAlg
Quote:
de... | 5 | [
-0.08544921875,
0.16015625,
0.0206298828125,
0.020263671875,
-0.01513671875,
-0.000881195068359375,
0.0233154296875,
-0.027587890625,
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0.00750732421875,
0.00244140625,
0.00677490234375,
-0.046875,
-0.016357421875,
0.0947265625,
-0.00171661376953125,
0.0... | 9,272 | 9272 | |
GMAT 800 - Toughest GMAT Questions
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and T. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value
of T if J is negative?
(A) -2
(B) 0
(C) 1
(D) 2
(E) 5
Solution
This problem demons... | 4 | [
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0.044921875,
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-0.0098876953125,
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0.0771484375,
0.058837890625,
0.0101318359375,
0.00482177734375,
0.0157470703125,
0.003936767578... | 9,273 | 9273 | |
Histograms...
January 11th 2010, 10:24 AM
Mukilab
Histograms...
This will be hard to explain. I understand how histograms work and such but I just don't understand this one
Table:
Time (t seconds): (Frequency beside)
0<t<_10 f=20
10<t<_15 f=blank
15<t<_17.5 f=30
17.5<t<_20 f=40
20<t<_... | 4 | [
0.0849609375,
0.053955078125,
0.006744384765625,
-0.056884765625,
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0.01708984375,
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0.03271484375,
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0.0233154296875,
-0.0264892578125,
-0.0159912109375,
0.033935546875,
... | 9,274 | 9274 | |
factoring trinomials
September 12th 2010, 04:35 AM #1
Senior Member
Joined
Jul 2010
Posts
361
Thanks
4
factoring trinomials
Hi all;
I need to factor the following 91 + 24q +-27q^2.
First I rearranged to the standard formula giving +-27q^2 + 24q +91.
Both signs will be + in the binomials... | 4 | [
-0.00640869140625,
0.0625,
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-0.005584716796875,
0.08447265625,
-0.... | 9,275 | 9275 | |
Re: [TowerTalk] Grey PVC Loading Coil
At 10:02 PM 2006-12-04, K4SAV wrote:
>When you do calculate a real matching network, something other than 60
>uH may be used. A realistic number for feedpoint impedance with a good
>radial system should be something around 12 ohms. This isn't going to be
>easy to match with a singl... | 4 | [
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0.0260009765625,
0.10546875,
0.03271484375,
-0.0065002441... | 9,276 | 9276 | |
Assessing the Exceptionality of Coloured Motifs in Networks
Various methods have been recently employed to characterise the structure of biological networks. In particular, the concept of network motif and the related one of coloured motif have proven useful
to model the notion of a functional/evolutionary building blo... | 4 | [
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0.01953125,
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0.031494140625,
-0.06298828125,
0.076171875,
-0.0751953125,
-0.0213623... | 9,277 | 9277 | |
Blackout Puzzle
The 10^th International Congress on Mathematical Education, July 4-11, 2004, Copenhagen, Denmark
ACTIVITY OF A GIFTED STUDENT WHO FOUND LINEAR ALGEBRAIC SOLUTION OF BLACKOUT PUZZLE
Sang-Gu Lee (Sungkyunkwan Univ. KOREA)
... | 5 | [
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0.0869140625,
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-0.0791015625,
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-0.038330078125,
0.02001953125,
0.048095703125,
0.0869140625,
0.05322265625,
0.029296875,
-0.049072265625,
0.0245361328125,
-0.0576171875,
0.0546875,
0.000... | 9,278 | 9278 | |
[SOLVED] find integral of partial fraction
$\int \frac{2x-3}{(x-1)^2}dx = \frac{A}{x-1}+\frac{B}{(x-1)^2}$ A=(-1/3) B=(8/3) I don't know how to find the Ax^2...Please Help.
Last edited by Jameson; March 3rd 2009 at 09:11 PM. Reason: accidental mistake made
$<br /> \begin{gathered}<br /> \frac{{2x - 3}}<br /> {{\left(... | 5 | [
-0.04736328125,
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0.01312255859375,
0.01531982421875,
-0.02734375,
0.052734375,
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-0.028076171875,
0.01495361328125,
-0.02783203125,
-0.018310546875,
-0.08251953125,
0.0281982421875,
-0.048095703125,
0.0057373046875,
0.056884765625,
0.0167236328125,
-0.... | 9,279 | 9279 | |
Horizontal asympototes
November 28th 2006, 09:25 AM
dcfi6052
Horizontal asympototes
I was going thorough a horizontal asympototes question and got stuck. This is the queston.
Determine th H.A for the following function. Draw a sketch to show whether the function is above or below the asymptote as x approche... | 4 | [
-0.031982421875,
0.039306640625,
-0.018798828125,
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0.00445556640625,
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0.10888671875,
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0.068359375,
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0.045654296875,
0.005859375,
-0.001922607421875,
0.068359375,
-0.0074462890625,
-0.1230... | 9,280 | 9280 | |
Time derivative
May 18th 2009, 02:37 PM #1
Junior Member
Joined
May 2009
Posts
31
Time derivative
Hi,
I have the following problem: I have a function to evaluate the obliquity of the ecliptic (astronomy) in the form:
Code:
f(t) = a + bt + ct^2 + dt^3
Its derivative (rate) is:
Code... | 5 | [
-0.02294921875,
-0.006439208984375,
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Empirical Bayesian analysis of paired high-throughput sequencing data with a beta-binomial distribution
Abstract
Background
Pairing of samples arises naturally in many genomic experiments; for example, gene expression in tumour and normal tissue from the same patients. Methods for analysing high-throughput sequencing... | 4 | [
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Expected value derivation question
December 27th 2008, 06:52 PM
notgoodatmath
Expected value derivation question
Hi,
T is a function, $T = \frac{\sum X_n}{\sqrt{n}}$
where, X are i.i.d Bernoulli r.v
The end point of the derivation is,
$Prob(T \ge z) \le e^{-az} \left(\frac{e^{\frac{a}{\sqrt{n... | 5 | [
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... | 9,283 | 9283 | |
bound the tail distribution
up vote 3 down vote favorite
2
Suppose that Z_1, ... , Z_n are binomial distributions with E[Z_i]=z_i.
If (Z_i) are pairwise independent, then, It's well known that the Chebyshev inequality can bound the tail distributions.
If (Z_i) are i.i.d, then, one can use Chernoff bound to bound the... | 4 | [
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Example: Symbolic Differentiation
Next: Example: Representing Sets Up: Symbolic Data Previous: Quotation
Example: Symbolic Differentiation
As an illustration of symbol manipulation and a further illustration of data abstraction, consider the design of a procedure that performs symbolic differentiation of algeb... | 5 | [
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cardinality formulae
March 9th 2010, 05:23 AM
kumpel
cardinality formulae
I need help in the following problem:
Let $\mathcal{L}=\mathcal{L}()$ be a (first order) language. Find $\mathcal{L}$-fomulae $\phi_{\leq n}, \phi_{= n}, \phi_{\geq n}$ that for any $\mathcal{L}$-structure $\mathcal{A}$ with support
... | 4 | [
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-0.01318359375,
-0.051... | 9,286 | 9286 | |
[Linear algebra] [College] Finding points on a line when given a distance to a plane.
October 23rd 2012, 08:24 AM #1
Newbie
Joined
Oct 2012
From
Belgium
Posts
5
[Linear algebra] [College] Finding points on a line when given a distance to a plane.
Hello everyone,
I'm studying for my linear algebra... | 5 | [
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Affine transformation question...HELP!
March 20th 2014, 01:21 AM #1
Newbie
Joined
Feb 2014
From
England
Posts
24
Affine transformation question...HELP!
In this question,
f and g are both affine transformations. The
transformation
f is reflection in the line y = x − 1, and the transformati... | 5 | [
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mathschallenge.net
Square Product
Problem
Given that [n(n+1)(n+2)]^2 = 3039162537*6, find the value of *.
Solution
In any three consecutive integers, n, n+1, n+2, at least one of the numbers will be even, and one of them will be a multiple of 3. Hence the product, n(n+1)(n+2), will be even and divisible by 3.
Furth... | 4 | [
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Calculus Help Please!
February 1st 2009, 11:33 PM #1
Junior Member
Joined
Jan 2009
Posts
74
I don't understand how to do this problem. Can someone please help me?
Use substitution to evaluate the definite integral. The integral from 0 to pi/3 of sinxcos x dx.
$\int_0^{\frac \pi3}\sin(x) \cdot \c... | 5 | [
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If a hen and a half can lay an egg and a half in a day and a half...
The full version in one of its many many variations:
If a hen and a half can lay an egg and a half in a day and a half, how many eggs can three hens lay in three days? Assume that all hens are a-laying at the same rate.
Putting aside the silliness o... | 4 | [
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0.00375... | 9,291 | 9291 | |
Find the eq of st line
January 4th 2010, 09:09 PM #1
Banned
Joined
Jan 2010
Posts
10
Find the eq of st line
Find the equation of st. line passing through the point (-2,-3) and inclined at 60 degrees to the line $x+ \sqrt{2} y = 2$
Dear TomJerry,
1)Draw the given line and the point as a rough sk... | 4 | [
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Coproducts of schemes ("gluing construction") ?
up vote 0 down vote favorite
1
In this MO question it was raised the topic of "gluing constructions" in the category of schemes. I understand the phrase "gluing two schemes along maps to them" as "there exists a coproduct of the
two schemes (with respect to the two given... | 5 | [
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topology - the lift of a function f
September 16th 2008, 12:42 PM #1
Newbie
Joined
Sep 2008
Posts
3
topology - the lift of a function f
Let X,Y be subsets of the universal set S. Suppose f:X to Y is a function. Define the lift of f to 2^X , F:2^X to 2^Y by F(A)=f(A), A in 2^X. Show the following:
a)... | 5 | [
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-0.... | 9,294 | 9294 | |
Turning Variables into Numbers, Part I
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Turning Variables into Numbers, Part I 4,062 views
In this episode, I'm going to introduce you to the strategy of turning variables into numbers, probably the most importa... | 4 | [
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Solving inequalities
How would I go about solving (1/x) + 4 < 2/x? Any help would be greatly appreciated!!
$\frac{1}{x} + 4 < \frac{2}{x}$ Subtract $\frac{2}{x}$ from both sides! $\frac{1}{x} + 4 - \frac{2}{x} < 0$ Subtract 4 from both sides! $\frac{1}{x} - \frac{2}{x} < -4$ Now you have to re-write the
LHS as a singl... | 4 | [
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basic maths
April 28th 2009, 10:33 AM #1
Newbie
Joined
Apr 2009
Posts
1
basic maths
need help
word problem
darren went on holiday.in 5 days he rides his bike 120 miles.each day he rode 6 miles less than the previous day .how many miles did he ride each day ?.if he went on riding his bike 6 miles... | 4 | [
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Help needed with mathematical induction problem
October 19th 2013, 03:53 PM
CrispyPlanet
Help needed with mathematical induction problem
The question is:
Prove (by mathematical induction) that:
$\int_0^\infty{x^n}{e^{-ax}}{dx}=\frac{{n(n-1)(n-2)...1}}{a^{n+1}}}$
I've proved the equality for n=1 a... | 5 | [
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Harmonic Expansion
up vote 2 down vote favorite
This is an expansion which frequently occurs in the papers of Camporesi and Higuchi but I couldn't find a derivation of it in either their review papers or in standard books on homogenous vector
bundles.
Consider the lie group $G$ and its subgroup $H$ and a homogeneous... | 4 | [
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