content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Stoke's Theorem
May 8th 2011, 08:08 AM #1
Senior Member
Joined
Oct 2008
Posts
393
Stoke's Theorem
$F = ( y - z + 2)i +(yz +4)j -xzk$, where S is the surface of the cube $x = 0, y = 0, z = 0, x = 2, y = 2, z = 2$, above the xy plane
So i have computed $abla x F = -yi + (-1+z)j -k$ now i dont know wha... | 5 | [
-0.000789642333984375,
0.053955078125,
-0.00970458984375,
-0.0361328125,
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0.01129150390625,
0.11669921875,
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0.0196533203125,
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0.0458984375,
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0.04833984375,
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0.0213623046875,
-0.06201171875,
... | 10,700 | 10700 | |
Aggregate Clause (Visual Basic)
Applies one or more aggregate functions to a collection.
Aggregate element [As type] In collection _
[, element2 [As type2] In collection2, [...]]
[ clause ]
Into expressionList
Term Definition
element Required. Variable used to iterate through the elements of ... | 5 | [
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0.0322265625,
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0.03662109375,
0.05712890625,
-0.0240478515625,
-0.0133056... | 10,701 | 10701 | |
Eigenvalues of Trees with Perfect Matchings
On the k^th Eigenvalues of Trees with Perfect Matchings
Wai Chee Shiu, An Chang
Abstract
Let Τ
^+[2p]
be the set of all trees on 2p (p≥ 1) vertices with perfect matchings. In this paper, we prove that for any tree T in Τ
^+[2p]
, its k-th largest eigenvalue λ
[k]
(T... | 4 | [
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0.009887... | 10,702 | 10702 | |
Calculus Derivatives
The key here is the quotient rule: $\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}$ Since $y = \frac{(x+2)(x+4)}{(x-1)}=\frac{x^2+6x+8}{(x-1)}$, we have $\frac{dy}{dx}=\frac{[(x^
2+6x+8)'](x-1)-(x^2+6x+8)[(x-1)']}{(x-1)^2}$$=\frac{(2x+6)(x-1)-(x^2+6x+8)(1)}{(x-1)^2}=...$ I belie... | 5 | [
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0.06... | 10,703 | 10703 | |
Equation of a plane which intersects the two surfaces?
October 2nd 2009, 07:13 PM
Infernorage
Equation of a plane which intersects the two surfaces?
The question asks to find the equation for a plane which intersects these two surfaces. I was sure that I solved it correctly, but my professor says it is wrong and... | 4 | [
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0.0400390625,
-0.081054687... | 10,704 | 10704 | |
Columbia Data Science course, week 11: Estimating causal effects
Home
>
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,
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> Columbia Data Science course, week 11: Estimating causal effects
Columbia Data Science course, week 11: Estimating causal effects
November 15, 2012
The week in Rachel Schu... | 4 | [
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.
8. BUCKLING INSTABILITIES AND WARPS
The optically visible parts of galactic disks are usually remarkably thin and flat, whereas the more extended HI disks of many edge-on galaxies appear noticeably warped with an integral sign shape.
Stellar warps (Reshetnikov et al. 2002, Saha et al. 2009) are much less pronounced... | 4 | [
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Trigonometry Help
October 12th 2008, 05:52 AM #1
Newbie
Joined
Oct 2008
Posts
5
Trigonometry Help
Here is the question i need to answer: let f(A) = ((cosA)/(1+sinA))+((1+sinA)/cosA)) prove that f(A) = 2secA I have tried all sorts of things here to try and answer it but just get to 2secA any
help woul... | 4 | [
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Ramanujan’s nested radical
Ramanujan posed the following puzzle to Journal of Indian Mathematical Society. What is the value of the following?
He waited over six months, and when nobody replied he gave his solution. The result is simply 3.
Now suppose you didn’t know an algebraic proof and wanted to evaluate the exp... | 5 | [
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tion
Graphical and Numerical Descriptive Analysis: Exploratory Tools Applied to Vietnamese Data
Dominique Haughton
Bentley College
Nguyen Phong
General Statistical Office, Vietnam
Journal of Statistics Education Volume 12, Number 2 (2004), www.amstat.org/publications/jse/v12n2/haughton.html
Copyright © 2004 by Domi... | 4 | [
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0.02941894531... | 10,709 | 10709 | |
Volume of a Cone using Trigonometric Ratios
January 9th 2010, 09:30 AM #1
Junior Member
Joined
Oct 2009
Posts
37
Volume of a Cone using Trigonometric Ratios
Hi everyone,
I can't figure out the following question from my math homework:
A right circular cone is inscribed in a sphere of radius 30 ... | 4 | [
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Using a Folding
Roof Measurements from the Ground Using a Folding Ruler
Slope, Rise, Run, Area
measurements using a folding carpenter's rule
• ROOF MEASURE by FOLDING RULE - CONTENTS: how to use a folding ruler and very easy on-site observations to measure roof slope, pitch, and size or area. How to use the tange... | 4 | [
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0.07373046875,
-0.0136... | 10,711 | 10711 | |
Can this equation be factored?
Yes, use the quadratic formula, you'll find two different zero's $x_1$ and $x_2$ therefore the quadratic equation can be factorized as (in general): $ax^2+bx+c=a(x-x_1)\cdot(x-x_2)$ Can you do that?
Use the discriminant: $b^2-4ac$ If it is a square number then the equation will factor
I... | 4 | [
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0.03271484375,
0.0281982421875... | 10,712 | 10712 | |
[SOLVED] equation of line
February 24th 2009, 05:52 PM #1
Newbie
Joined
Feb 2009
Posts
9
[SOLVED] equation of line
Find an equation for the line with the given properties.
Perpendicular to the line y=1/3x + 6; containing the point (2,-2)
You know the line is perpendicular to y=1/3x+6 so we ... | 4 | [
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0.0216064453125,
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constructible universe
The constructible universe
Definition
Gödel’s constructible universe is a subclass $L$ of the von Neumann universe $V$ of well-founded pure sets, defined by transfinite induction? as $L = \bigcup_\alpha L_\alpha$ where
$L_0 = \emptyset$
$L_{\alpha +1} = P(L_\alpha) \cap I(L_\alpha \cup \{L_\a... | 4 | [
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Easy question on Sobolev spaces
up vote 2 down vote favorite
I understand that this question would be trivial for experts, sorry for that, I just need to clarify things.
So let $S(\mathbb{R}^n)$ denote the Schwartz space on $\mathbb{R}^n$ and $W_p$, $W_q$ are the Sobolev spaces, or in the other words completions of $... | 5 | [
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-0.00140380859375,
-0.0147705078125... | 10,715 | 10715 | |
convergents of sequence
July 15th 2009, 06:51 PM #1
Senior Member
Joined
Jun 2009
Posts
251
convergents of sequence
question: what number does $\frac{2^{n}}{3^{n+1}}$ converge to?
answer: 0
what I've done: sort of use L'Hopital's rule by taking derivative of numerator and denominator => $\frac{n2... | 5 | [
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0.00848388671875,
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-0.07... | 10,716 | 10716 | |
Homework Help
Posted by Ashley on Sunday, September 6, 2009 at 8:58pm.
Hello,
A projectile is launched straight up from the ground with an initial velocity of 320 ft/sec.
a. When will the projectiles height above the ground be 1024 ft?
For this I got 16 seconds
b. When will the height of the projectile be at least... | 4 | [
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-0.11572... | 10,717 | 10717 | |
Help with the quotient rule of derivatives, involving negative exponents.
September 4th 2012, 06:46 PM
bnosam
Help with the quotient rule of derivatives, involving negative exponents.
So basically the function is: f(x) = x^2 (x^2 + 1)^-3.
I have to use the quotient rule to differentiate it. I just started d... | 4 | [
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0.0014877319335... | 10,718 | 10718 | |
Find the number
Find the total number of positive integer solutions of: $\frac{2}{n} + \frac{3}{m} = \frac{1}{2006}$
HEllo : remark http://www.mathramz.com/xyz/latexren...320f38cb95.png is not : http://www.mathramz.com/xyz/latexren...45b369c0d5.png conclusion : http://www.mathramz.com/xyz/latexren...bec49c6522.png
TH... | 5 | [
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-0.04... | 10,719 | 10719 | |
Simplifying
If $270^\circ < x < 360^\circ$, simplify $\sqrt{2+\sqrt{2+2cosx}}$ I couldn't do anything else after getting rid of the square roots..
Use the half angle identity for cosine: $\cos{\frac{\theta}{2}} = \sqrt{\frac{1 + \cos{\theta}}{2}}$. $\sqrt{2 + 2\cos{x}} = \sqrt{2(1 + \cos{x})}$ $= \sqrt{\frac{4(1 + \co... | 4 | [
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-0.03173828125,
0.056884765... | 10,720 | 10720 | |
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Topic: Cardinalities
Replies: 17 Last Post: Jun 18, 2000 ... | 5 | [
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-0.03686... | 10,721 | 10721 | |
Quantum Blossoms
To review for my upcoming final in differential geometry, I will go over my last two midterms.
1. Parametrize the curve $y^2+y=x^2$ using as the parameter $t$ slope of the line from the origin to a point on it, i.e. $y=tx$.
The first thing we should do is substitute $tx$ for $y$ in the first equation... | 5 | [
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0.057373046875,
-0.0223388671875,
-0.080... | 10,722 | 10722 | |
History of fundamental solutions
up vote 16 down vote favorite
7
I have a few questions on the history of PDE.
1. Who first wrote down the formula for the solution of the Cauchy problem for the heat equation involving the heat kernel? I have seen it called Poisson's formula. If it is true Poisson has a
formula f... | 4 | [
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sample
R Data Analysis Examples
Power Analysis for Two-group Independent sample t-test
Examples
Example 1. A clinical dietician wants to compare two different diets, A and B, for diabetic patients. She hypothesizes that diet A (Group 1) will be better than diet B (Group 2), in terms of lower
blood glucose. She plan... | 5 | [
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0.... | 10,724 | 10724 | |
Falling Bodies
Name: Mike
Status: other
Age: 30s
Location: N/A
Country: N/A
Date: 2000-2001
Question: I'm a Police Officer in Ada, Oklahoma. Last week we had a suicide, where the Individual jumped ... | 5 | [
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Smallest Subgroup of Sn
December 9th 2009, 11:43 AM #1
Newbie
Joined
Sep 2009
Posts
13
Good afternoon fellow math goers.
I entered this problem a week ago and with helpful hints have made what I think is progression on this rather challenging problem. I need some advice on my proof though so any more ... | 5 | [
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-0.015197753906... | 10,726 | 10726 | |
sry for the trouble! another trigo problem!!
February 18th 2008, 07:26 AM #1
Newbie
Joined
Feb 2008
Posts
6
Hi sry for the previous double post, below is another porblem i faced:
given: 0 <= x < pi ; 0 <= y; < pi
...
sin^2x = sin^2y
(sinx + siny )( sinx - siny ) = 0
thus, how to get ... | 4 | [
-0.035400390625,
0.047607421875,
-0.0218505859375,
0.0693359375,
-0.042724609375,
0.05517578125,
0.0166015625,
-0.06298828125,
-0.0052490234375,
0.025390625,
0.099609375,
0.022216796875,
0.0654296875,
0.05859375,
0.09033203125,
0.02978515625,
-0.01904296875,
-0.02001953125,
-0.00... | 10,727 | 10727 | |
complex analysis series
February 14th 2010, 02:43 PM #1
Member
Joined
Sep 2008
Posts
166
complex analysis series
Let $a_n, b_n$ be nonzero complex numbers. Suppose $lim_{n\to\infty}|\frac{a_n}{b_n}|=l$ exists, and $l ot= 0, \infty$.
1. Show that if one of the series $\sum_{n=0}^\infty a_n$ and $\sum_... | 5 | [
-0.1025390625,
-0.07568359375,
0.01055908203125,
0.040771484375,
0.08056640625,
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0.0289306640625,
0.003753662109375,
-0.091796875,
0.056640625,
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0.01202392578125,
-0.0303955078125,
0.050048828125,
0.050537109375,
-0.05... | 10,728 | 10728 | |
CASt R: Random numbers
Random numbers in R
It is often necessary to simulate random numbers in R. There are many functions available to accomplish this and related tasks such as evaluating the density, distribution function, and quantile
function of a distribution.
Distributions intrinsic to R
R handles many common... | 5 | [
-0.0308837890625,
-0.07080078125,
-0.0654296875,
-0.01953125,
-0.01708984375,
-0.043212890625,
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0.01416015625,
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0.039794921875,
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-0.1416015625,
0.0299072265625,
0.04... | 10,729 | 10729 | |
Systems of Linear Equations
June 14th 2011, 11:31 AM #1
Banned
Joined
Oct 2009
Posts
39
Thanks
1
Systems of Linear Equations
Hello all,
i am studding linear Algrabra from my finals in about 5 days :-)
I have 2 systems that i dont know exactly how to solve them. Would any1 like to help me so... | 4 | [
-0.1416015625,
-0.0240478515625,
-0.05615234375,
-0.030029296875,
-0.0439453125,
-0.0308837890625,
0.04736328125,
-0.04541015625,
-0.0576171875,
0.07080078125,
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-0.0439453125,
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-0.0986328125,
0.0157470... | 10,730 | 10730 | |
find an integer k such that the subgroup is <k>
November 23rd 2013, 07:40 AM #1
Newbie
Joined
Nov 2013
From
The City of Eagles
Posts
6
The smallest subgroup containing a collection of elements S is the
subgroup H with the property that if K is any subgroup containing
S then K also contains H. ... | 4 | [
-0.0101318359375,
0.1328125,
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-0.0986328125,
-0.003204345703125,
0.002532958984375,
0.01495361328125,
0... | 10,731 | 10731 | |
Ordinal exponentiation
September 22nd 2010, 11:50 PM
sroberts
Ordinal exponentiation
Hi,
Suppose we take the usual definition of ordinal exponentiation (sorry for the notation!):
a^0 = 1
a^s(b) = a^b x a where s(b) is the successor of b
a^b = Ua^c where c < b and b is a limit ordinal
Then ... | 4 | [
-0.006500244140625,
0.010498046875,
-0.050048828125,
-0.024169921875,
-0.0257568359375,
0.01202392578125,
0.0341796875,
-0.052490234375,
0.02294921875,
0.0079345703125,
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0.0849609375,
0.06787109375,
-0.0206298828125,
0.0546875,
-0.0859375,
0.0148... | 10,732 | 10732 | |
Setting up linear equations.
May 2nd 2011, 06:18 AM #1
Newbie
Joined
May 2011
Posts
10
Setting up linear equations.
In a practise GCSE mock exam paper i saw these 3 questions and i think i have got the right answers but i wondered if you could just check for me.
1. A girl is Y years old. Her father ... | 4 | [
0.046630859375,
0.07421875,
-0.013427734375,
-0.00677490234375,
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0.11474609375,
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-0.00701904296875,
-0.034423828125,
0.04248046875,
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-0.048828125,
0.05908203125,
0.0289306640625,
-0.07275390625,
-0.012390... | 10,733 | 10733 | |
Probability and Statistics
From Example Problems
Solutions Manual for "Statistical Inference by Berger and Casella"
solution Five cards are randomly dealt from a standard deck of cards. Find the probability of obtaining one pair.
solution Five cards are randomly dealt from a standard deck of cards. Find the proba... | 5 | [
0.056884765625,
0.030029296875,
-0.002960205078125,
0.00653076171875,
-0.06982421875,
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0.0023651123046875,
-0.0306396484375,
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0.0693359375,
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0.043212890625,
-0.017822265625,
-... | 10,734 | 10734 | |
I liked “The Millionaire Next Door” (TMND).
I like the lessons it had to offer. I
especially appreciate the equation it gives
as a way of benchmarking how effectively
I am accumulating my wealth. I think it's
important to chart your progress over
time. I see this as no different between
measuring your return against... | 4 | [
-0.0137939453125,
0.0498046875,
-0.030029296875,
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0.07421875,
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0.049072265625,
0.00113677978515625,
-0.0230712890625,
-0.020263671875,
0.03955078125,... | 10,735 | 10735 | |
Basic probelm on 2x2 Eigenvector
October 5th 2011, 03:51 AM
Paymemoney
Basic probelm on 2x2 Eigenvector
Hi
can someone explain to be how they get the eigenvectors for the following matrix
$\begin{matrix}2 & -1 \\ -4 & 2 \end{matrix}$
$\begin{matrix}1 & \frac{-1}{2} \\ 0 & 0 \end{matrix}$
henc... | 5 | [
-0.000461578369140625,
-0.0218505859375,
-0.0059814453125,
-0.01422119140625,
0.0458984375,
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-0.07080078125,
0.0155029296875,
-0.032470703125,
-0.00653076171875,
0.1181640625,
-0.083984375,
-0.06298828125,
-0.0035552978515625,
-0.0247802734375,
0.078125,
0.0003776550... | 10,736 | 10736 | |
Maximal Ideal
April 19th 2009, 08:59 AM
Coda202
Maximal Ideal
Let N = {f in Z[x] | f has constant term 0}, clearly N is an ideal of Z[x], show that N is a maximal ideal of Z[x].
April 19th 2009, 09:20 AM
TheEmptySet
Quote:
I don't beleive it is a maximal Ideal... Here is why
Define a Homomorphi... | 5 | [
-0.05322265625,
0.0859375,
0.03564453125,
0.06591796875,
0.01531982421875,
-0.0673828125,
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0.10009765625,
-0.0703125,
-0.07666015625,
-0.04296875,
0.04052734375,
0.059814453125,
-0.03857421875,
-0.08154296875,
0.00909423828125,
0.0478515625,
-0.0009613037109375,
0.01... | 10,737 | 10737 | |
findFinding a Uniformily Most Powerful Region
March 4th 2010, 06:19 PM #1
Member
Joined
Oct 2009
Posts
218
Finding a Uniformily Most Powerful Region
Let $X_1,...,X_{25}$ be from a sample of 25 from a normal distribution $N(\theta,100)$. Find a UMP region with $\alpha = 0.1$ for testing $H_0:\theta=75 \ V... | 5 | [
0.05224609375,
0.0228271484375,
0.0419921875,
-0.11376953125,
-0.006561279296875,
-0.10546875,
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0.00799560546875,
-0.051513671875,
0.026123046875,
0.07763671875,
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0.018310546875,
-0.059814453125,
-0.0003070831298828125,
0.06103515625,
0.057861328125,
-... | 10,738 | 10738 | |
proof of harmonic series
June 15th 2009, 01:20 PM #1
Junior Member
Joined
Apr 2009
Posts
41
proof of harmonic series
Find an proof for the harmonic series not using the integral test with the following hint.
$\sum_{k = 1}^{\infty} = 1 + (\frac{1}{2} + \frac{1}{3}) + (\frac{1}{4} + \frac{1}{5} + \fra... | 4 | [
-0.042724609375,
-0.0284423828125,
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0.046875,
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0.076171875,
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-0.03564453125,
-0.0057373046875,
-0.0174560546875,
-0.12158203125,
-0.059814453125,
0.05859375,
-0.0245361... | 10,739 | 10739 | |
For which numbers a,b,c,d will the function f(x) satisfy...
December 23rd 2009, 04:34 AM #1
For which numbers a,b,c,d will the function f(x) satisfy...
Problem:
For which numbers $a,b,c,d$ will the function
$f(x)=\frac{ax+b}{cx+d}$
satisfy $f(f(x))=x$ for all $x$?
--------------------------------... | 5 | [
-0.130859375,
-0.01483154296875,
0.022705078125,
-0.0673828125,
-0.055419921875,
0.080078125,
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-0.0216064453125,
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0.03125,
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0.0038604736328125,
... | 10,740 | 10740 | |
[SOLVED] Population of bugs Growth Rate
February 3rd 2009, 10:24 PM #1
[SOLVED] Population of bugs Growth Rate
Suppose that the number of bugs in a rainforest is growing exponentially. There were 2880 bugs after 3 weeks and 5120 bugs after 5 weeks.
1) Find the population growth rate r.
2)How many bugs wer... | 4 | [
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0.07568359375,
-0.0218505859375,
0.036865234375,
-0.001495361328125,
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0.01611328125,
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0.0322265625,
0.021484375,
0.036376953125,
-0.09814453125,
-0.064941... | 10,741 | 10741 | |
Algebraic integers and UFDs
November 2nd 2009, 03:32 AM #1
Member
Joined
Oct 2008
Posts
130
Algebraic integers and UFDs
Let $d$ be an integer (square free, not equal to one)
Prove that if $d=1(mod4)$ or $d \leq -3$ then $Z[\sqrt d]$ is not a UFD.
I know that 2 is not a prime in $Z[\sqrt d]$. I ... | 5 | [
0.01458740234375,
-0.0179443359375,
-0.0238037109375,
-0.003997802734375,
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0.00732421875,
-0.0272216796875,
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0.01458740234375,
0.032958984375,
-0.053466796875,
-0.09716796875,
0.039... | 10,742 | 10742 | |
Parabola Problems
Date: 02/23/97 at 19:00:06
From: Cindy Smith
Subject: Re: Parabola Problems
A culvert is shaped like a parabola, 18 centimeters across the top
and 12 centimeters deep. How wide is the culvert 8 centimeters from
the top?
I have tried setting it up as a complete the square expression, but I
haven'... | 4 | [
0.050537109375,
0.01470947265625,
-0.004638671875,
-0.04541015625,
-0.0201416015625,
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-0.0517578125,
0.10986328125,
-0.017822265625,
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0.0267333984375,
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0.11474609375,
-0.033203125,
-0.0... | 10,743 | 10743 | |
find theta
find theta without the use of the law of cosines see image attached
well my prof told me i didnt need to know that for the test. so im trying to solve it a diff way
Hello, calc123! Quote: Find $\theta$ without the use of the Law of Cosines. Code: | x A D + - - - - - o | ** | 5 * * y | * * | θ * * | * * B o... | 4 | [
-0.10498046875,
-0.0159912109375,
-0.0810546875,
-0.0791015625,
0.037109375,
-0.000972747802734375,
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0.04638671875,
0.07373046875,
0.09716796875,
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0.0311279296875,
0.002471923828125,
0.0810546875,
-0.09912109375,
-0.0151977... | 10,744 | 10744 | |
Equation of a Plane
The Vector Equation of a Plane
Here, we use our knowledge of the dot product to find the equation of a plane in R^3 (3D space). Firstly, a normal vector to the plane is any vector that starts at a point in the plane and has a
direction that is orthogonal (perpendicular) to the surface of the plane.... | 4 | [
-0.02099609375,
-0.00098419189453125,
-0.09716796875,
-0.060791015625,
0.01434326171875,
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0.11181640625,
-0.07470703125,
0.037353515625,
0.08056640625,
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0.03125,
-0.0042724609375,
0.064453125,
0.002349853515625,
-0.042724609375,
-0.07763671875,
-0.0... | 10,745 | 10745 | |
Decomposition of Primes as the Sum of Two Squares
Date: 12/17/2005 at 12:54:51
From: Geertrui
Subject: uniqueness of p=sum of two squares
I would like to know why, if you write p (prime) as a sum of two
squares, its decomposition a^2 + b^2 is unique (a,b up to +/- 1).
I was able to prove that you can write a prime p... | 5 | [
-0.040283203125,
-0.0086669921875,
-0.0030364990234375,
0.021728515625,
0.0625,
0.01422119140625,
0.052001953125,
-0.02197265625,
0.0390625,
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-0.00244140625,
-0.11376953125,
-0.046142578125,
0.00445556640625,
-0.059326... | 10,746 | 10746 | |
inverse hyperbolic derivative
October 26th 2009, 07:19 PM
xxlvh
inverse hyperbolic derivative
So in this question I defined $g(x) = \frac{1}{\sqrt{x^2-6x}}$ and $h(x) = arccoshx$.
The function I am then evaluating is $f(x) = h(g(x))$. It is also given that $\frac{dy}{dx}arccoshx = ln(x+\sqrt{x^2-1}), x \geq ... | 4 | [
0.034423828125,
-0.043701171875,
0.06884765625,
-0.024658203125,
-0.03857421875,
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0.037353515625,
0.0159912109375,
-0.013916015625,
0.06689453125,
0.0458984375,
0.050537109375,
-0.0849609375,
-0.0556640625,
0.010009765625,
0.0057373046875,
-0.106445312... | 10,747 | 10747 | |
A decomposition of the "spin representation" of SL(2)
up vote 7 down vote favorite
5
Let us take an N-dimensional (N odd) irreducible representation V of SL(2,R).
It is known that (e.g., Lie groups and Lie algebras III by Vinberg and Onischik, 1994 p. 94) in V there is an invariant symmetric bilinear form $b$ for the... | 5 | [
-0.06982421875,
-0.083984375,
-0.0225830078125,
0.0252685546875,
0.008544921875,
0.048828125,
-0.0791015625,
-0.0595703125,
0.048583984375,
-0.07568359375,
-0.034912109375,
0.08642578125,
-0.08544921875,
-0.0103759765625,
0.0101318359375,
0.07861328125,
0.003753662109375,
0.0539550... | 10,748 | 10748 | |
What is Lagrange Inversion good for?
up vote 41 down vote favorite
38
I am planning an introductory combinatorics course (mixed grad-undergrad) and am trying to decide whether it is worth budgeting a day for Lagrange inversion. The reason I hesitate is that I know of
very few applications for it -- basically just enum... | 5 | [
-0.062255859375,
-0.01165771484375,
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0.00885009765625,
-0.021728515625,
0.01025390625,
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0.057373046875,
0.0810546875,
0.07568359375,
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0.0079345703125,
-0.033935546875,
-0.0120849609375,
0.1162109375,
-0.01104736328125,
0.0... | 10,749 | 10749 | |
Algebric equations in worded text
April 25th 2009, 05:30 PM
ni93
Algebric equations in worded text
I'm just having trouble trying to find the formulas, and I've left studying too late. There are a few, I won't post them all. Just wondering if there could be some hints on how to solve them, or
how to find the... | 4 | [
0.038818359375,
0.0712890625,
0.07177734375,
-0.03955078125,
-0.08251953125,
0.0172119140625,
-0.04248046875,
-0.00830078125,
-0.06787109375,
0.068359375,
-0.07421875,
-0.0301513671875,
0.053466796875,
0.00787353515625,
0.022216796875,
-0.01202392578125,
-0.00872802734375,
0.028808... | 10,750 | 10750 | |
Global Matrix: assembly
In the Finite Element method a dense element matrix A_el of dimensions [ndofel X ndofel] is computed for every element (see Element Matrices: computation). Since neighboring elements share nodes, the
individual element contributions need to be assembled (summed up) in the global matrix A. During... | 4 | [
0.0084228515625,
-0.025146484375,
-0.0615234375,
0.030029296875,
0.0281982421875,
-0.09033203125,
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-0.048095703125,
0.0166015625,
0.022216796875,
0.025390625,
-0.034423828125,
0.05810546875,
-0.052978515625,
-0.08642578125,
-0.01226806640625,
-0.00982666015625,
-0.05... | 10,751 | 10751 | |
Find integer solutions to 1/x + 1/y = 1/14
June 16th 2011, 09:03 AM
VinceW
Find integer solutions to 1/x + 1/y = 1/14
Find all solutions where x and y are integers:
$\frac{1}{x} + \frac{1}{y} = \frac{1}{14}$
this can be rearranged to:
$\frac{xy}{x + y} = 14$
I know how to solve diophantine eq... | 4 | [
-0.08544921875,
0.04541015625,
-0.00110626220703125,
0.0252685546875,
0.0223388671875,
0.0025787353515625,
0.051025390625,
0.0024871826171875,
-0.045654296875,
-0.05224609375,
0.04296875,
-0.01904296875,
-0.03515625,
0.11328125,
0.00592041015625,
0.0223388671875,
-0.0184326171875,
... | 10,752 | 10752 | |
of roof members
Calculation of roof members
It is important to calculate the dimension of the true length of a roof member. These dimensions are essential to determine the accurate span of rafter, overhang, underpurlins, fan struts ... | 4 | [
0.017333984375,
0.0262451171875,
0.0002384185791015625,
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0.06689453125,
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-0.068359375,
... | 10,753 | 10753 | |
[Numpy-discussion] distance_matrix: how to speed up?
Emanuele Olivetti emanuele@relativita....
Wed May 21 09:28:51 CDT 2008
Rob Hetland wrote:
> I think you want something like this:
>
> x1 = x1 * weights[np.newaxis,:]
> x2 = x2 * weights[np.newaxis,:]
>
> x1 = x1[np.newaxis, :, :]
> x2 = x2[:, np.newaxis, :]
> dista... | 4 | [
0.032958984375,
-0.08544921875,
-0.06298828125,
-0.0966796875,
0.0150146484375,
-0.0966796875,
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-0.11474609375,
-0.033935546875,
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-0.00946044921875,
0.0146484375,
-0.0498046875,
0.0537109375,
0.06787109375,
-0.010192... | 10,754 | 10754 | |
Please Help!
May 1st 2007, 09:08 AM
whytechocolate01
Please Help!
A segment joins the midpoints of two sides of a triangle.
Find the value of x.
Find the value of y.
Please explain how to reach the answer! Thanks!
May 1st 2007, 10:55 AM
topsquark
Quote:
It can't be done. The smaller to... | 4 | [
-0.041259765625,
0.07275390625,
-0.005126953125,
-0.08349609375,
0.1279296875,
-0.0098876953125,
-0.068359375,
0.068359375,
-0.00958251953125,
-0.072265625,
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0.0615234375,
0.054443359375,
0.06201171875,
-0.035400390625,
-0.043212890625,... | 10,755 | 10755 | |
Sum of reciprocals of Prime Numbers
April 21st 2009, 10:19 AM
Fulger85
Sum of reciprocals of Prime Numbers
Hello,
Could anyone please give me a proof using basic/elementary number theory and or calculus of the following:
The sum of the reciprocals of primes is approximately equal to log(log(x))
e.... | 5 | [
-0.09228515625,
-0.01129150390625,
0.040771484375,
-0.00860595703125,
0.0458984375,
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0.103515625,
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0.03662109375,
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0.00775146484375,
0.01214599609375,
0.0038604736328125,
-0.1123046875,
-0.068359375,
-0.00061798095703125,
-0.0... | 10,756 | 10756 | |
Number of Unordered Partitions
Date: 08/18/99 at 03:40:29
From: Nicolae Bonciocat
Subject: Formula for the unordered partitions of n
Dear Professor,
I kindly ask you to inform me if there is any known formula for the
number of unordered partitions of a positive integer p(n).
Many thanks,
Nicolae Bonciocat
Date: ... | 5 | [
-0.06298828125,
0.000957489013671875,
0.057861328125,
0.031494140625,
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0.035888671875,
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0.017578125,
-0.035400390625,
-0.046142578125,
-0.0115966796875,
0.0164794921... | 10,757 | 10757 | |
The Jewish Calendar: A Closer Look
The Jewish Calendar: A Closer Look A month is calculated as 29 days, 12 hours, and 793 "parts"
Leap years occur in years 3, 6, 8, 11, 14, 17 and 19 of a 19-year cycle
Level: Intermediate Adjustments (dechiyot) prevent round off t... | 4 | [
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0.0296630859375,
... | 10,758 | 10758 | |
Mathematics in the Time of the Pharaohs
Used and New from Other Sellers
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Note: Marketplace items are not eligible for any B... | 4 | [
-0.07275390625,
0.027587890625,
0.0498046875,
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-0.00958251953125,
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0.017822265625,
-0.0322265625,
-... | 10,759 | 10759 | |
Graphing Trig Functions
Date: 05/03/97 at 14:45:08
From: Nem
Subject: Trigonometric graphing
Dear Dr. Math,
To graph the equation y = 3sin4x-3, I know I have to find the
amplitude, period, and vertical or phase shift. I know the amplitude
is 3, and the period is pi/4, but do I have to factor out the 4 from
4x-3 bef... | 4 | [
-0.033935546875,
0.00799560546875,
-0.0277099609375,
-0.078125,
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0.002777099609375,
-0.06005859375,
0.041259... | 10,760 | 10760 | |
Innocent looking 1st order DE
May 9th 2009, 12:03 PM #1
Newbie
Joined
May 2009
Posts
3
Innocent looking 1st order DE
$2y e^{y/x} \frac{dy}{{dx}} - 2x - y = 0$
I'm not sure how difficult you guys at this forum might find this. It took me a long long long time to figure out (I am not a math major). Sh... | 5 | [
-0.0673828125,
-0.048583984375,
0.0673828125,
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-0.0272216796875,
0.041015625,
-0.0157470703125,
-0.00811767578125,
-0.0266113... | 10,761 | 10761 | |
Rectangular to polar equations
December 15th 2008, 07:11 PM #1
Newbie
Joined
Dec 2008
Posts
1
Rectangular to polar equations
8x+7y=5
How do I change this rectangular equation to polar form!
Please help it's the last part of my graded for correctness homework assignment!
Hello, Xenomorph!
... | 4 | [
-0.064453125,
-0.0079345703125,
-0.034423828125,
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0.12451171875,
0.02294921875,
0.050537109375,
-0.109375,
0.0101318359375... | 10,762 | 10762 | |
variables, separation ofone of the oldest and most widely used techniques for solving some types of partial differential equations. A partial differential equation is called linear if the unknown
function and its derivatives have no exponent greater than one and there are no cross-terms—iterms—i.e., terms such as f f′ ... | 4 | [
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0.021484375,
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0.09619140625,
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0.060302734375,
0.060791015625,
-0.043701171875,
-0.10400390625,
0.0274658203... | 10,763 | 10763 | |
The Chocolate Box Problem
Date: 11/11/2002 at 05:13:47
From: Brian Mitchell
Subject: The chocolate box problem
Given twelve types of chocolates, what is the probability that a box
of fifty (randomly selected from an infinite supply with equal
probability) does not contain one or more of the types?
I can see that the... | 5 | [
0.016845703125,
0.02685546875,
0.05419921875,
0.05517578125,
-0.10595703125,
0.0230712890625,
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-0.0224609375,
0.040283203125,
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-0.0096435546875,
-0.0047607421875,
0.046142578125,
0.0012359619140625,
... | 10,764 | 10764 | |
Switch Applet
About
This Java Applet simulates a MEMS switch using non-linear dynamic models adapted from "Numerical Simulations and Novel Constant-Charge Biasing Method for Capacitive RF MEMS Switch" by JB Lee and
Charles L GoldSmith and "Nonlinear Electro-Mechanical Modeling of MEMS Switches" by Jeremy Muldavin and ... | 4 | [
-0.0294189453125,
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0.0283203125,
-0.06201171875,
0.080078125,
-0.024169921875,
-0.008056640625,
... | 10,765 | 10765 | |
Particle moving on a line.
February 16th 2010, 02:55 PM
Silverflow
Vector calculus on particle movement
Hello,
I'm currently working on a question which is about a particle moving across along a line. The particle is moving along the line log (x) at a constant speed of one. When t = 0, the particle is at
... | 4 | [
-0.0260009765625,
-0.034423828125,
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-0.0390625,
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0.02197265625,
0.056640625,
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0.02880859375,
0.01531982421875,
0.07177734375,
-0.033203125,
0.020751953125,
-0.0478515625,
-0.00765991210937... | 10,766 | 10766 | |
A sum-product estimate in Z/p^2Z
up vote 8 down vote favorite
2
We are interested in a sum-product type estimate. Let $p$ be an odd prime, and let $A$ be the order $p-1$ subgroup of $(\mathbb{Z}/p^2\mathbb{Z})^\times$. That is, let $A = \langle g^p \rangle$,
where $(\mathbb{Z}/p^2\mathbb{Z})^\times = \langle g \rangle... | 5 | [
-0.04150390625,
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0.0986328125,
-0.0517578125,
-0.09765625,
0.01611328125,
0.018310546875,
0.0112... | 10,767 | 10767 | |
Homework Help
Posted by Jonah on Friday, March 22, 2013 at 12:35pm.
A tank contains exactly 10^(6)liters of pure water. 1.0*10^(-6) moles of HCl (g) is bubbled into this tank. What is the resulting pH?
The answer is 7, but I was only able to deduce that based on the fact that water has a neutral pH, but there's a mat... | 4 | [
-0.050537109375,
0.04736328125,
0.0225830078125,
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0.043212890625,
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0.01312255859375,
0.087890625,
-0.027587890625,
-0.041748046875,
-0.07373046875,
-0.064... | 10,768 | 10768 | |
Diophantine equation
November 21st 2009, 03:53 PM #1
Newbie
Joined
Nov 2009
Posts
7
Diophantine equation
Hello everyone!
I have some trouble with this proof: prove that there are infinitely many solutions to the equation: $x^2 + y^2 = z^4 \mbox{, with g.c.d} (x,y,z) = 1$
let $a,b$ be any (positi... | 5 | [
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0.058837890625,
-0.02197265625,
0.07373046875,
-0.0123291015625,
-0.0... | 10,769 | 10769 | |
Homework Help
Posted by emmy on Tuesday, November 27, 2012 at 10:59pm.
Find equation of the line that passes through the points (2/3,-5/4) and (-3,-5/6). write your answer in slope-intercept form and standard form with integer coefficients.
• math - Jennifer, Wednesday, November 28, 2012 at 3:05pm
The slope m ... | 4 | [
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0.00567626953125,
0.021728515625,
0.11279296875,
-0.052001953125,
-0.00... | 10,770 | 10770 | |
Applications of Frobenius theorem and conjecture
up vote 21 down vote favorite
6
A theorem of Frobenius states that if $n$ divides the order of a finite group $G$, then the number of solutions to $x^n = 1$ in $G$ is a multiple of $n$. Frobenius conjectured that if the number of
solutions is exactly $n$, then the set o... | 4 | [
-0.07275390625,
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0.0281982421875,
0.01544189453125,
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0.037109375,
0.06396484375,
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-0.016357421875,
0.0084228515625,
0.0101318359375,
-0.06103515625,
-0.... | 10,771 | 10771 | |
Finding ideals of $\mathbb{Z}[x]$ generated by $n$ elements and no fewer
up vote 6 down vote favorite
1
As the title says, I'm trying to find ideals of $\mathbb{Z}[x]$ generated by $n$ elements and no fewer. I suspect $(2^k, 2^{k-1} x, 2^{k-2} x^2, ..., x^k)$ is generated by no fewer than $n=k+1$
elements, but I haven... | 5 | [
-0.04248046875,
0.06103515625,
-0.029541015625,
0.0283203125,
0.021484375,
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0.014404296875,
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-0.134765625,
-0.049560546875,
0.03173828125,
0.026123046875,
0.0201416015625,
... | 10,772 | 10772 | |
Nuclear weapon statistics using monoids, groups, and modules in Haskell
Bulletin of the Atomic Scientists tracks the nuclear capabilities of every country. We’re going to use their data to demonstrate Haskell’s HLearn library and the usefulness of abstract algebra to
statistics. Specifically, we’ll see that the categor... | 4 | [
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0.0218505859375,
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-0.0012054443359375,
0.03662109375,
-0.06103515625,
-0.0... | 10,773 | 10773 | |
Finding Three Lines that Form a Triangle
Date: 08/30/2001 at 16:30:56
From: Joe Kowalski
Subject: Triangle Area Puzzle
The question is:
Find an equation for each of the lines that goes through the point
(3,2) forming a triangle of area 12 with the coordinate axes. There
are three answers.
I have been able to come ... | 4 | [
-0.0130615234375,
-0.0036468505859375,
-0.09814453125,
-0.07666015625,
0.00848388671875,
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0.01214599609375,
-0.0157470703125,
0.022216796875,
0.01129150390625,
0.068359375,
0.025146484375,
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0.057373046875,
0.10205078125,
0.09375,
-0.051513671875,
-0.10... | 10,774 | 10774 | |
ontrol
PID Tutorial
The three-term controller
Open-loop step response
Proportional control
PD control
PI control
PID control
In this tutorial, we will consider the following unity feedback system:
The three-term controller
... | 5 | [
-0.064453125,
-0.008544921875,
-0.02783203125,
-0.0103759765625,
0.004058837890625,
0.054443359375,
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0.053955078125,
0.064453125,
0.06640625,
0.07373046875,
0.05615234375,
0.0966796875,
-0.1240234375,
-0.05224609375,
0.044921875,
-0.01446533203125,
0.0732421875,
-0.... | 10,775 | 10775 | |
GMAT Archives - Page 2 of 6 - MathSP
Problem:
Of the five coordinates associated with points A, B, C, D, and E on the number line above, which has the greatest absolute value?
Solution:
The absolute value is greatest for the point farthest from the origin (0), which is point A.
Strategy:
Absolute value is the distanc... | 4 | [
-0.0223388671875,
0.041748046875,
-0.08349609375,
-0.107421875,
-0.00096893310546875,
-0.033203125,
-0.0751953125,
0.09521484375,
-0.0194091796875,
-0.0244140625,
0.0169677734375,
0.0213623046875,
0.08251953125,
0.0224609375,
-0.005950927734375,
0.04931640625,
0.00604248046875,
-0.... | 10,776 | 10776 | |
When can a family of polynomials get a weight function to be made orthogonal?
up vote 3 down vote favorite
1
Let $\lbrace P_n(z)\rbrace_{n\in\mathbb N_0}$ be a family of polynomials defined by a generating function $g(t,z)=\sum\limits_{n=0}^\infty P_n(z)t^n$ or by a contour integral $P_n(z)=\frac1{2\pi i}\
oint\frac{g... | 4 | [
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-0.01434326171875,
-0.0076904296875,
-0.0252685546875,
-0.04833984375,
0.0177001953125,... | 10,777 | 10777 | |
Momentum, Mechanics 1
November 24th 2012, 10:30 AM
mysur
Momentum, Mechanics 1
Two boys, Jason and Keith are travelling on small trucks which are both coasting at 3ms-1 in the same direction along a straight horizontal track. Each boy and the truck he is standing on have a
total mass of 120 kg. jason on the ... | 4 | [
-0.006072998046875,
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-0.040771484375,
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0.046142578125,
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0.05810546875,
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0.048583984375,
0.033935546875,
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0.052734375,
0.0296630859375,
0.0125... | 10,778 | 10778 | |
Find the critical numbers?
November 29th 2009, 11:38 AM
mj.alawami
Find the critical numbers?
How to find the critical number of the given function:
$f(x)= x^3(x-2)^2$
Attempt:
$f'(x)=(x^3)(2[x-2][1])+(x-2)^2(3x^2)$
Now we have to equate f'(x) to zero
$f'(x)=(x^3)(2[x-2])+(x-2)^2(3x^2) =0$... | 4 | [
0.023193359375,
-0.059326171875,
-0.0693359375,
0.0120849609375,
-0.0308837890625,
0.0498046875,
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0.015869140625,
0.01336669921875,
0.0014801025390625,
0.06640625,
-0.06298828125,
0.10498046875,
-0.11328125,
0.0267333984375,
-0.0157470703125,
-0.0244140625,
-0.12255... | 10,779 | 10779 | |
Solving a Diophantine Equation
Date: 05/01/2005 at 19:58:28
From: OC
Subject: Diophantine !
How can I find all integer solutions of an equation in the form
aXY + bX + cY + d = 0? For example, 5XY + 3X - 8Y - 8 = 0.
I tried solving for Y and got to Y = -(bX + d)/(aX + c)
Date: 05/02/2005 at 11:57:18
From: Doctor ... | 5 | [
-0.10986328125,
0.04833984375,
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-0.0015869140625,
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0.021728515625,
-0.033447265625,
-0.01263427734375,
0.07373046875,
0.0272216796875,
0.09130859375,
-0.021240234375,... | 10,780 | 10780 | |
ractice
Basic trig functions - practice problems
These problems are designed to help you learn basic trigonometry ("trig") functions and how to use your calculator correctly.
Try solving these on your own (without peaking at the solutions). You may want to download a sheet with all the questions (Acrobat (PDF) 33kB ... | 4 | [
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0.01507568359375,
-0.01287841796875,
-0.009521484375,
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-0.025390625,
0.0849609375,
-0.07470703125,
0.0498046875,
0.052978515625,
-0.08203125,
0.000720977783203125,
0.03076171875,
0.044921875,
-0.0157470703125,
-0.09375,
0.043457031... | 10,781 | 10781 | |
Polar differential problem with my workings...
November 7th 2011, 01:03 PM #1
Junior Member
Joined
Oct 2011
Posts
37
Polar differential problem with my workings...
Hi All,
I'm having problems with this question and need someone to look at my workings and give a gentle push in the right direction. If... | 5 | [
-0.056640625,
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0.0142822265625,
0.080078125,
0.0274658203125,
0.07666015625,
0.01202392578125,
0.17578125,
-0.0228271484375,
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0.0... | 10,782 | 10782 | |
Is it true that exotic smooth R^4 cannot be diffeomorphic to RxN, where N is a 3-manifold?
up vote 3 down vote favorite
3
Since $\mathbb{R}$ and any 3-manifold $N$ must be non-exotic, their product $\mathbb{R}\times N$ cannot possibly be diffeomorphic to exotic $\mathbb{R}^4$, correct?
Update: Andy Putman already ans... | 4 | [
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Differentiate and Solve for variable
October 3rd 2009, 10:08 PM #1
Junior Member
Joined
May 2009
Posts
47
Differentiate and Solve for variable
Question:
The function $Y=K^\frac{1}{3}L^\frac{2}{3}$ is Given.
a) Find $\frac{dY}{dL}$
b) Solve for "L" in the equation: $\frac{2}{3}K^\frac{1}{3}L... | 4 | [
-0.030029296875,
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0.04150390625,
0.03466796875,
-0.076171875,
0.040771484375,
-0.077... | 10,784 | 10784 | |
set theory
In contrast to naive set theory, the attitude adopted in an axiomatic development of set theory is that it is not necessary to know what the “things” are that are called “sets” or what the relation
of membership means. Of sole concern are the properties assumed about sets and the membership relation. Thus, i... | 4 | [
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0.1005859375,
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0.0164794921875,
-0.056396484375,
0.00793457... | 10,785 | 10785 | |
of S
Law of Large Numbers: the Theory, Applications and Technology-based Education
Ivo D. Dinov, Nicolas Christou and Robert Gould
University of California, Los Angeles
Journal of Statistics Education Volume 17, Number 1 (2009), www.amstat.org/publications/jse/v17n1/dinov.html
Copyright © 2009 by Ivo D. Dinov, Nico... | 4 | [
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-0.050537109375,
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... | 10,786 | 10786 | |
principle angles and related acute angles
I'm assuming these are in degrees. \displaystyle \begin{align*} \sin{(5x)} &= 16\sin^5{(x)} - 20\sin^3{(x)} + 5\sin{(x)} \\ \sin{(5\cdot 18^{\circ})} &= 16\sin^5{(18^{\circ})} - 20\sin^3{(18^{\
circ})} + 5\sin{(18^{\circ})} \\ 1 &= 16\sin^5{(18^{\circ})} - 20\sin^3{(18^{\circ})... | 5 | [
-0.061279296875,
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0.07373046875,
0.0625,
0.019775390625,
-0.07275390625,
0.03515625,
... | 10,787 | 10787 | |
Trigonometric Series App
Trigonometric Series Approximations
The trigonometric functions are useful for modeling periodic behavior. For example, we may describe the motion of an object oscillating at the end of a spring (ignoring any dam... | 4 | [
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0.0310058... | 10,788 | 10788 | |
Uniform convergence
Hello, I need to investigate Uniform convergence for these two using Weierstrass M-test, 10x in advance. Assaf.
For the first problem note $x^n + x^{-n} \leq 2$. Thus, $|f_n(x)| \leq \frac{2n^2}{\sqrt{n!}}$ and $\sum_{n=0}^{\infty} \frac{2n^2}{\sqrt{n!}} < \infty$. I did not do the second problem b... | 4 | [
0.0673828125,
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0.046875,
-0.03247... | 10,789 | 10789 | |
squares | GeekDad | Wired.com
GeekDad Puzzle of the Week Solution: Palindromic Sums of Squares
• By Judd Schorr
• 10.22.12
• 12:15 AM
This past week’s puzzle, as posted:
If you have been on Facebook at all over the last year, you have probably seen the “puzzle” where there is a grid, and the question r... | 4 | [
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-0.0208740234375,
-0.03466796875,... | 10,790 | 10790 | |
Hilbert class field
February 28th 2010, 10:46 PM #1
Newbie
Joined
Oct 2008
Posts
24
Hilbert class field
For the number fields K whose ring of integer is UFD,
why the Hilbert class field of K is K itself???
thanks
it's actually an if and only if statement. the reason is quite clear: $\math... | 4 | [
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-0.0262451171875... | 10,791 | 10791 | |
REARRANGING EQUATIONS
rearrange these to make x the subject V W 3X = Y VX-W=2 6X(SQUARED) + VX = Y
1) Have you written: $\frac{VW}{3X}=Y$? If so, multiply both sides of the equation by 3X. $VW=3XY$ Divide both sides by 3Y. $\frac{VW}{3Y}=X$ $\boxed{X=\frac{VW}{3Y}}$ 2) $VX-W=2$ Add W to both
sides. $VX-W+W=2+W$ Divide... | 4 | [
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-0.10546875,
0.078... | 10,792 | 10792 | |
How do I find the imaginary number solutions to this problem?
January 18th 2011, 03:18 PM
thyrgle
How do I find the imaginary number solutions to this problem?
So I have the following equation:
$<br /> r^3 + 4r^2 - 24 = 0<br />$
I can find the real solution of 2 by using synthetic division and finding ... | 4 | [
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-0.0654296875,
-0.00112152099609... | 10,793 | 10793 | |
Permutations.
February 10th 2009, 09:24 PM #1
Junior Member
Joined
May 2008
Posts
61
Permutations.
9 cards are selected with replacement from a standard pack of 52 cards with 12 picture, 20 odd and 20 even cards.
a)How many different sequences of 9 cards are possible?
b)How many of the sequences... | 4 | [
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-0.... | 10,794 | 10794 | |
Factoring Quadratic Equations. Help needed...
April 4th 2014, 02:17 PM #3
Super Member
April 3rd 2014, 09:22 PM #2
MHF Contributor
April 3rd 2014, 08:40 PM #1
Newbie
Re: Factoring Quadratic Equations. Help needed...
Hello, smyatsallie!
Take the square root of both sides: . . $y - \tfrac{11}{8} \;=\;\pm\... | 4 | [
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0.0032... | 10,795 | 10795 | |
Law of Conservation Mass reacting masses equations gcse chemistry Calculations 3. igcse KS4 science A level GCE AS A2 O Level practice questions exercises
3. Law of Conservation of mass calculations
• What is the Law of Conservation of Mas... | 4 | [
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representation theoretic interpretation of Jack polynomials
up vote 12 down vote favorite
7
Monomial symmetric polynomials on $n$ variables $x_1, \ldots x_n$ form a natural basis of the space $\mathcal{S}_n$ of symmetric polynomials on $n$ variables and are defined by additive
symmetrization of the function $x^{\lambd... | 4 | [
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-0.0003585... | 10,797 | 10797 | |
Help with solving a proof by induction
September 12th 2009, 06:00 AM #1
Member
Joined
May 2008
Posts
101
Help with solving a proof by induction
Problem: Prove that $1 + \frac{1}{2} + \frac{1}{3} + ... + \frac{1}{n} > \frac{2n}{n + 1}$ where $n \geq 2$
What I have so far:
1) Prove for $n = 2$
... | 4 | [
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... | 10,798 | 10798 | |
elimination
The technique used in the solution of simultaneous equations by which n equations in n variables are reduced to one solvable equation in one variable, the process being repeated until all the
equations are solved for all the variables. The process may be performed by establishing the value if one variab... | 4 | [
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