content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Common Fixed Point Results for Mappings with Rational Expressions
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 549518, 11 pages
http://dx.doi.org/10.1155/2013/549518
Research Article
Common Fixed Point Results for Mappings with Rational Expressions
^1Department of Mathematics, King Abdulaziz Universi... | 5 | [
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In how many different ways can a group of 8 people be divide
Author Message
TAGS:
In how many different ways can a group of 8 people be divide [#permalink] 24 Oct 2009, 03:20
... | 4 | [
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change of measure martingale
March 30th 2011, 12:41 AM #1
Junior Member
Joined
Feb 2011
Posts
56
Thanks
1
change of measure martingale
Hallo!
There's a given probability space $(\Omega,\mathcal{F},P)$ equipped with a filtration $(\mathcal{G}_t)_{t \in [0,T]}$ and a subfiltration $\mathcal{F}_t \... | 4 | [
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... | 26,802 | 26802 | |
A few problems...Compound & double-angle trig. formulae
May 13th 2009, 01:31 PM
Maccabhoy
A few problems...Compound & double-angle trig. formulae
Im stuck on a few questions...
Any ideas?
1) Solve the following equation for θ in the interval 0 ≤ θ ≤ 2π.
sin( 2 θ) +5/9 cos( θ) = 0
2) Solve
... | 4 | [
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-0.032... | 26,803 | 26803 | |
Finding coefficients for a power series solution for a differential equation (Trig)
December 3rd 2011, 03:33 PM #1
Super Member
Joined
Nov 2008
Posts
597
Finding coefficients for a power series solution for a differential equation (Trig)
The question and my work are attached. I'm having trouble doing the... | 5 | [
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Math Help
May 21st 2011, 08:54 AM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Equality
For non-zero a,b,c
$a^2+b^2+c^2+\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c ^2}\geq 6$
show also that equality holds if and only if $a,b,c\in\{-1,1\}$.
How can I show this?
... | 4 | [
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the encyclopedic entry of magnetic scalar potential
The
magnetic potential
provides a mathematical way to define a
magnetic field
in
classical electromagnetism
. It is analogous to the
electric potential
which defines the
electric field
in
electrostatics
. Like the electric potential, it is not directly obs... | 4 | [
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[Haskell-beginners] Monads...
Cory Knapp thestonetable at gmail.com
Thu Jan 29 09:48:42 EST 2009
Thanks to both of you, I'll look into those.
Cory
Rafael Gustavo da Cunha Pereira Pinto wrote:
> Cory,
>
> The big hit for me was Phillip Wadler's paper "Monads for functional
> programming" I made me start thinking "w... | 5 | [
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Some Analogies of the Banach Contraction Principle in Fuzzy Modular Spaces
The Scientific World Journal
Volume 2013 (2013), Article ID 205275, 4 pages
http://dx.doi.org/10.1155/2013/205275
Research Article
Some Analogies of the Banach Contraction Principle in Fuzzy Modular Spaces
Department of Mathematics, Faculty o... | 5 | [
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Ring help
March 4th 2007, 12:02 PM
chadlyter
Ring help
Two questions:
1. If R is a ring then is every element of R either a unit or zero-divisor.
COnversely
2. IF R is a ring, then there is no elements of R which is both a unit and a zero-divisor.
March 4th 2007, 04:44 PM
ThePerfectHacker
Q... | 5 | [
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CFD Analysis of Heat Transfer and Friction Factor Characteristics in a Circular Tube Fitted with Quadrant-Cut Twisted Tape Inserts
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 273764, 8 pages
http://dx.doi.org/10.1155/2013/273764
Research Article
CFD Analysis of Heat Transfer and Friction Facto... | 4 | [
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Limits and Continuity - two variable function
May 20th 2009, 10:22 PM #1
Member
Joined
Mar 2009
Posts
133
Limits and Continuity - two variable function
Hello MHF,
Needing some help with this question,
What condition must the nonnegative integers $m,n,p$ satisfy to guarantee that $\lim_{(x,y)\to(... | 4 | [
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Revenge of the Integrals
April 26th 2006, 02:33 AM
Sophie
Revenge of the Integrals
Just when I thought I was getting good at integration and logarithms, I encountered this question:
Find indefinite integral of 3^(2x-1)
I'm sure the method is quite simple-- I just want to know how to get to the solution... | 5 | [
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more basic calculus
can some show me step by step please thanks http://img297.imageshack.us/img297/8017/dsc01415.jpg
Show you what. I don' see anything. Are you talking about how you want someone to show you "Step-by-Step" the sitcom? I hated that show.(Angry) Nevermind, I can see it now.
f) $\frac{1}{4}x^4+C$ The on... | 5 | [
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Lagranges Theorem
January 5th 2010, 03:18 PM #1
Junior Member
Joined
Dec 2009
Posts
30
Lagranges Theorem
Prove Lagranges Theorem - the order of every subgroup H of a finite group G of order n is a divisor of n.
Show that the set G = {1,-1,i,-i} (i - (sqrt of -1))
forms a group with respect to mul... | 4 | [
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Dynamic CMOS Load Balancing and Path Oriented in Time Optimization Algorithms to Minimize Delay Uncertainties from Process Variations
VLSI Design
Volume 2010 (2010), Article ID 230783, 13 pages
http://dx.doi.org/10.1155/2010/230783
Research Article
Dynamic CMOS Load Balancing and Path Oriented in Time Optimization Al... | 4 | [
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Creative Factoring Trinomials
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┯━━━━━━━━━┓
┃ The AC Method for Factoring Trinomials. ... | 4 | [
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Powers series and diffy q's
April 17th 2007, 03:23 PM #1
Junior Member
Joined
Feb 2007
Posts
25
Powers series and diffy q's
f(x) = E(0, inf) [((-1)^n)(x^2n)]/(2n+1)!
And I found f'(x) to be E (0,inf) [2n((-1)^n)(x^(2n-1))]/(2n+1)!
The question is:
Show that y = f(x) is a solution to the dif... | 5 | [
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A Godunov-Mixed Finite Element Method on Changing Meshes for the Nonlinear Sobolev Equations
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 413718, 19 pages
http://dx.doi.org/10.1155/2012/413718
Research Article
A Godunov-Mixed Finite Element Method on Changing Meshes for the Nonlinear Sobolev Equations... | 5 | [
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Automorphisms
March 28th 2011, 05:27 PM
topsquark
Automorphisms
This one is mostly a problem with the definitions, I think.
I am asked to prove that $\text{Aut} \mathbb{Z}$ is isomorphic to $\mathbb{Z}_2$, where $\text{Aut} \mathbb{Z}$ is the group of all automorphisms of $\mathbb{Z}$.
Obviously the id... | 5 | [
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0.01... | 26,819 | 26819 | |
Green's theorem
February 23rd 2009, 10:35 AM #1
Newbie
Joined
Feb 2009
Posts
1
Green's theorem
The question I am attempting is;
Verify Greens Theorem for ∫(4x-3y²)dx+(y-4x²)dy
C
Where c is the boundary of the region defined by y = x^4 and y = x,
My problem is that I am getting two diffe... | 5 | [
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how to solve log2 (x) = log2(2x-1)
June 21st 2011, 11:10 PM #1
Member
Joined
Jul 2009
From
London
Posts
109
how to solve log2 (x) = log2(2x-1)
Hi
I tried:
log2(x) - log2(2x-1) = 0
but then log2(0) not possible so could go nowhere with that.
I know 2^(log2(2x-1)) = 2^log2(x) but doe... | 4 | [
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0.0141601... | 26,821 | 26821 | |
gamma distribution
February 21st 2009, 07:07 PM #1
Member
Joined
May 2008
Posts
103
gamma distribution
If a company employs n salespersons, its gross sales in thousands of dollars may be regarded as a random variable having a gamma distribution with α=80(n)^(1/2) and β=2. If the sales cost $8,000
per... | 5 | [
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-0.0737... | 26,822 | 26822 | |
Linear Congruences
November 19th 2009, 07:04 AM #1
Newbie
Joined
Dec 2008
From
Philadelphia
Posts
24
Linear Congruences
How do i prove that for every prime p > 5, the following system has a solution:
7x + 3y = 1 mod p
4x + 6y = -1 mod p
Solve like a pair of linear equations
Why not try... | 5 | [
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-0.1357421875,
-0.0... | 26,823 | 26823 | |
Fairly basic natural logs question
September 3rd 2012, 02:04 PM
kedaha
Fairly basic natural logs question
Returning to differentiation after a fairly long break and presented with three questions. I'm sure there's a simpler way to do them, but I can't figure it out?
1. y(x) = ln[(f(x)+g(x))^2] => y(x) = ln[... | 5 | [
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0.07... | 26,824 | 26824 | |
bounded continuous function
May 20th 2010, 08:46 AM
cp05
bounded continuous function
must a bounded continuous function on R be uniformly continuous?
I know that if a function is continuous on a closed and bdd set then its uniformly continuous, but this says nothing about the set, just the function. Would th... | 5 | [
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-0.... | 26,825 | 26825 | |
Investment Problem find rate
November 19th 2008, 07:53 AM #1
Junior Member
Joined
Oct 2008
Posts
26
Investment Problem find rate
$6000 is deposited into an account. It grows to $10000 in 8 years. What is the interest rate assuming an annual compound?
I'm not exactly sure what to do please help!
... | 4 | [
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0.006103515625,
0.046875,
-0.013916015625,
0.031494140625,
-0.07861328125,
-0.013488... | 26,826 | 26826 | |
Steps to Transpose an Equation
October 22nd 2012, 01:09 AM
wardr1
Steps to Transpose an Equation
Hello,
I’m brand to this site and I’m hoping that someone can show me the individual steps that allows the following equation:
t = P*R/S*E-0.6*P
Transpose to make P the subject per the following equati... | 4 | [
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-0.05224609375,
... | 26,827 | 26827 | |
HELP! please. very urgent. precal.
January 8th 2008, 03:17 PM #1
taylorr556
Guest
ok here are some questions i need help with ASAP.
1)express this using rational exponents: 5 times the square root of 81x^(3)y^(8) (theres also a little 4 above the beginning of the radical.)
2)a scientist has 37 grams of... | 4 | [
0.07568359375,
0.0223388671875,
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0.09716796875,
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0.07373046875,
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-0.0673828125... | 26,828 | 26828 | |
abelian group
May 25th 2009, 06:17 AM #1
Member
Joined
May 2009
Posts
86
abelian group
Suppose that G is a finite Abelian group that has exactly one subgroup for each divisor of |G|. Show that G is cyclic.
Use the fundamental theorem for finite Abelian groups twice. Once to show that it is sufficien... | 5 | [
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0.050537109375... | 26,829 | 26829 | |
Solution
Solution to puzzle 33: Harmonic sum
Let H[0] = 0 and H[n] = 1/1 + 1/2 + ... + 1/n.
Show that, for n > 0, H[n] = 1 + (H[0] + H[1] + ... + H[n−1])/n.
We will use mathematical induction on n, the harmonic sum subscript.
The induction will consist of two steps:
1. Basis: Show the proposition is true for H[1... | 5 | [
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remainder when divided by 7
What is the remainder when (1^3)+(2^3)+(3^3)+...+(1990^3) is divided by 7?
Try to prove: If x is integer, then x^3(mod7)=0 or 1 or 6
We need merely note that $\displaystyle \left\lfloor\frac{1990}{7}\right\rfloor=284$ and that $\displaystyle 7\cdot 284=1988$. From this we can note that $\d... | 5 | [
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Question with Diff Eq
September 21st 2009, 04:56 PM
Katzenjammer
Question with Diff Eq
I haven't had Diff Eq, and in my notes for an unrelated class, part of a way to solve a solution was with the following diff eq.
(d^2)x/d(t^2) + a^2 * x = 0 | a=constant; t=0; dx/dt = 0
I really don't know what to d... | 4 | [
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On the Cardinality of the
International Journal of Combinatorics
Volume 2014 (2014), Article ID 798074, 7 pages
http://dx.doi.org/10.1155/2014/798074
Research Article
On the Cardinality of the -Topologies on a Finite Set
Department of Mathematics, Faculty of Science, King Khalid University, Abha, Saudi Arabia
Rece... | 5 | [
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Derivative f'(0) for f(x) =x*(x-1)(x-2)....(x-96)
April 19th 2013, 08:02 AM #1
Junior Member
Joined
Mar 2013
From
moon
Posts
56
Hello
So I tried solving this substituting x = 0 then I get f'(x) = 0.
But that seems to be wrong.
If I use the product law of derivatives then I get 0*(0-1)*(0-... | 5 | [
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... | 26,834 | 26834 | |
Find the Inverse?
September 22nd 2009, 07:22 PM #1
Junior Member
Joined
Sep 2009
Posts
32
Find the Inverse?
Hello, I've been trying to figure out how to solve this function but I keep getting stuck. The question asks:
Find a formula for the inverse of the function:
y = e^x / 1+5e^x
My teac... | 5 | [
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0.011352539... | 26,835 | 26835 | |
Pre-Calc Word Problem Help
February 12th 2011, 08:22 AM
rohitgudi
Pre-Calc Word Problem Help
I need help on word problems in my math book, I still have problems understanding how to do "mixture problems and sharing job problems." Please offer any tips possible in getting better at
solving them.
55. The ... | 4 | [
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Math Help
April 25th 2010, 03:26 PM #1
Newbie
Joined
Feb 2010
Posts
17
Groups
In Z/6Z define [a] * [b] =[a+b-1]. Is that associative? If so, does this operation make Z/6Z into a group? If its not in the group explain why?
Attempt:
([a] * [b]) * [c] = [a + b - 1] * [c] = [a + b + c - 2]
[a]... | 5 | [
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Special Product
June 24th 2011, 01:15 AM #1
Special Product
(ax+y)^2
normally i would answer it as :
(a^2)(x^2)+(y^2)
but with special products it would be:
(a^2)(x^2 ) + ( 2axy ) + ( y^2 )
does that mean
(a^2)(x^2)+(y^2)
is wrong?
Re: Special Product
What do you mean by... | 4 | [
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search results
Expand all Collapse all Results 1 - 25 of 37
1. CJM 2014 (vol 66 pp. 902)
Corrigendum to Example in "Quantum Drinfeld Hecke Algebras"
The last example of the article contains an error which we correct. We also indicate some indices in Theorem 11.1 that were accidently transposed.
Keywords:... | 4 | [
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... | 26,839 | 26839 | |
Very nice (but quite tough) puzzle
November 15th 2009, 08:20 AM
Boysilver
Very nice (but quite tough) puzzle
If X and Y are two independent identically distributed real valued random variables, show that
$5 \mathbb{P}(|X-Y| \leq 1) \geq \mathbb{P}(|X-Y| \leq 2)$.
Here's the hint: For $n,m \in \mathbb{Z... | 4 | [
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0.... | 26,840 | 26840 | |
Isosceles pizza...
May 7th 2012, 03:12 PM #1
Hello! I was looking for help on the 'Net and happened to stumble on this site. It looks good so I just decided to drop in!
I have a math test and I need to know if my answer is correct. It's a multiple-choice test, but the answer I'm getting isn't matching any of t... | 4 | [
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0.048... | 26,841 | 26841 | |
Level Sets of Random Fields and Applications: Specular Points and Wave Crests
International Journal of Stochastic Analysis
Volume 2010 (2010), Article ID 621038, 22 pages
http://dx.doi.org/10.1155/2010/621038
Research Article
Level Sets of Random Fields and Applications: Specular Points and Wave Crests
^1Departament... | 4 | [
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Sum of the first 50 terms
May 4th 2011, 01:28 PM #1
Newbie
Joined
May 2010
Posts
5
Sum of the first 50 terms
I recently was given a very old Scottish Qualifications Higher paper from 1987. I could do almost every question easily, but when it came to question 10, I was entirely stumped. I have never been
... | 4 | [
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Stationary point...
June 9th 2010, 12:54 AM
Punch
Stationary point...
Find the coordinates of the stationary point of the curve $y=e^xcosx$ for 0 is less than or equal to x and x is less than or equal to $/pi$ . Leave your answer in exact form.
June 9th 2010, 12:58 AM
mr fantastic
First get dy/dx (use the... | 4 | [
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Evaluating Improper Integrals
August 5th 2007, 11:40 AM #1
Member
Joined
Jun 2007
Posts
131
Evaluating Improper Integrals
Hi Again
I have another question for you that I'm stuck on. I get an answer on ipi*e^(ipi/6) can anyone confirm this?
Heres the question:
Note that theorem 1.1 i... | 4 | [
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0... | 26,845 | 26845 | |
supremum infimum
November 12th 2010, 05:40 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
supremum infimum
if f is bounded in a non empty group D and if c<0 then cf is bounded and
*-multiply
cf- c*f
then prove that:
sup(cf)(D)=c*inf(f)(D)
inf(cf)(D)=c*inf(f)(D)
the prove in th... | 4 | [
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0.... | 26,846 | 26846 | |
Implication theorem
November 8th 2009, 01:40 PM
kashifzaidi
Implication theorem
The following theorem has the form of an implication.
If n is an integer and 3n+2 is even, then n is even.
a) Prove this theorem by contradiction.
b) Give a direct proof of this theorem.
(Hint: it may be useful to g... | 4 | [
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Math problem
February 4th 2010, 12:37 AM #1
Newbie
Joined
Feb 2010
Posts
16
Math problem
Can anyone help me to solve this problem:
Consider $n$ as a natural number greater than $1$. Prove that sum of all numbers of the form $\frac{1}{pq}$ with the condition $(p,q) = 1$ ( $p$ and $q$ are relatively p... | 5 | [
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0... | 26,848 | 26848 | |
Please explain this
April 8th 2009, 05:59 AM #1
Newbie
Joined
Dec 2008
Posts
13
Please explain this
i don't know how to explain this
A relationship between power P, current I, and resistance R in an electric circuit is given by the equation
R=P/I^2
Explain the effect a change in current... | 4 | [
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the encyclopedic entry of box stoop
A
Box-Muller transform
(by
George Edward Pelham Box
and Mervin Edgar Muller 1958) is a method of generating pairs of
independent
standard
normally distributed
(zero
expectation
, unit
variance
)
random numbers
, given a source of
uniformly distributed
random numbers.
... | 4 | [
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0.... | 26,850 | 26850 | |
Span of a subset
April 4th 2013, 04:08 PM #1
Junior Member
Joined
Apr 2012
From
New York
Posts
30
Span of a subset
I just need to know how to start this... I'm looking through my notes but can't figure out how to begin. The wording is also a little bit confusing.
Find a finite subset of each of ... | 5 | [
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Geometric Sequences
I’ve added a script which helps to understand geometric sequences.
Suppose you were to draw an equilateral triangle on a sheet of paper. It might look something like this:
Now suppose that you draw lines connecting the midpoints of each of the edges of this triangle. This will dissect the larger ... | 4 | [
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A Simple Method for Obtaining Coupled Fixed Points of
International Journal of Analysis
Volume 2013 (2013), Article ID 438029, 7 pages
http://dx.doi.org/10.1155/2013/438029
Research Article
A Simple Method for Obtaining Coupled Fixed Points of --Contractive Type Mappings
^1Department of Mathematics, Science and Res... | 5 | [
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-0.052734375,
-0.03369140625,
0... | 26,853 | 26853 | |
Proofs of the Infinity of the Prime Numbers
The standard proof is due to Euclid:
Suppose p is a prime number, and consider the number defined as 1 plus the product of all prime numbers less than or equal to p, that is:
n = ... | 4 | [
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0.0869140625,
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0.072265625,
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0.0159912109375,
-0.080078125,
-0.00897216796875,
-0.0091552734375,
-0.02... | 26,854 | 26854 | |
handshake equation
September 10th 2008, 04:28 PM #1
Newbie
Joined
Sep 2008
Posts
1
ok so I have to create an equation to explain how many handshakes you get if you input any number of people. for instance, i came up with this equation:
n=number of people
n(n-1)
-------
2
so we know it... | 4 | [
-0.0634765625,
0.03076171875,
0.07470703125,
0.0245361328125,
-0.03955078125,
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0.09765625,
-0.00445556640625,
0.045654296875,
-0.042236328125,
-0.01202392578125,
-0.0205078125,
0.0419921875,
0.0027313232421875,
0.01165771484375,
-0.0257568359375,
-0.052734375,
-0.03... | 26,855 | 26855 | |
projective dimension
I have to find the projective dimension of Z/pZ as Z-module, Z/pZ-module and Z/(p^2)Z-module, p is prime.Could anyone help me?
let $M=\mathbb{Z}/p\mathbb{Z}.$ clearly $M$ as $\mathbb{Z}/p\mathbb{Z}$ module is free and so projective. thus $\text{proj} \cdot \dim_{\mathbb{Z}/p\mathbb{Z}} M = 0.$ $M$... | 5 | [
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0.015869140625,
-0.0255126953125,
0.024658203125,
-0.031982421875,
0.04931640625,... | 26,856 | 26856 | |
Cognitive Space-Time Transmit Pattern Design
International Journal of Antennas and Propagation
Volume 2014 (2014), Article ID 141568, 6 pages
http://dx.doi.org/10.1155/2014/141568
Research Article
Cognitive Space-Time Transmit Pattern Design
School of Electronic Engineering, University of Electronic Science and Tech... | 4 | [
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0.052734375,
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-0.06640625,
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0.0625,
-0.046875,
-0.... | 26,857 | 26857 | |
confidence interval help!!!!
November 17th 2008, 02:51 PM #1
Newbie
Joined
Nov 2008
Posts
1
how do you find a confidence interval without knowing the mean or standard deviation?!
If it helps, here is the question being asked
"construct a 95% confidence interval for the following:
N=100
N=... | 5 | [
0.03466796875,
0.07470703125,
0.029052734375,
0.04345703125,
-0.01104736328125,
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0.11962890625,
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-0.0283203125,
0.0167236328125,
-0.01300048828125,
0.00830078125,
-0.01... | 26,858 | 26858 | |
Normal approx to the binomial dist. questions
February 1st 2010, 05:09 PM #1
Normal approx to the binomial dist. questions
Q1:
An airline finds that 5% of the persons who make reservations on a certain flight do not show up for the flight. If the airline sells 160 tickets for a flight with only 155 seats, wh... | 5 | [
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0.029296875,
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-0.12792... | 26,859 | 26859 | |
Inequality Induction Proof 2n+1 < 2^n for all integers n>= 3
November 8th 2011, 08:21 AM
yoman360
Inequality Induction Proof 2n+1 < 2^n for all integers n>= 3
So I have an exam tomorrow for my discrete math class and I was doing the suggested practice problems for the exam. So far I understand and know how to do... | 4 | [
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0... | 26,860 | 26860 | |
Dimension of the Null Space of Linear Functional
April 27th 2009, 03:28 AM #1
Junior Member
Joined
Apr 2009
Posts
39
Dimension of the Null Space of Linear Functional
I need help with showing this:
If f is a linear functional on an n-dimensional vector space X, what dimension can the Null Space N(f) ... | 5 | [
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0.0235595703125,
-0.04296875,
-0.0... | 26,861 | 26861 | |
Poisson Process
March 5th 2007, 02:40 PM #1
Junior Member
Joined
Nov 2006
Posts
43
Thanks
1
Poisson Process
Satellites are launched into space at times distributed according to a Poisson process with rate lambda. Each satellie independently spends a random time (having distribution G) in space before... | 5 | [
0.0252685546875,
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-0.03515625,
-0.0004711151123046875,
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On Generalized Fractional Differentiator Signals
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 795954, 7 pages
http://dx.doi.org/10.1155/2013/795954
Research Article
On Generalized Fractional Differentiator Signals
^1Faculty of Computer Science and Information Technology, University Malaya, ... | 5 | [
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0.006561279296875,
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0.025... | 26,863 | 26863 | |
Quantum Character of Electromagnetic Langmuir Oscillations in Conventional Electron-Ion Plasma
International Journal of Optics
Volume 2012 (2012), Article ID 648741, 8 pages
http://dx.doi.org/10.1155/2012/648741
Research Article
Quantum Character of Electromagnetic Langmuir Oscillations in Conventional Electron-Ion P... | 4 | [
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Transformation
April 3rd 2009, 06:20 AM #1
Junior Member
Joined
Feb 2009
Posts
36
(2x)d2t/dx2 - 6(dx/dt)^2 = x^2 - 3x^4
show that the substitution y=1/x^2 transforms this differential eqn into d2y/dt2 + y = 3
So i've work out
-2/x^3(d2x/dt2) + 6/x^4(dx/dt)
i think the latter part of t... | 5 | [
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0.09423828125,
-0.078... | 26,865 | 26865 | |
Math 102 - Word Problem
October 8th 2008, 05:06 PM #1
Newbie
Joined
Oct 2008
Posts
3
Math 102 - Word Problem
I need help. I suck at doing Math.
Here it goes...
An inlet pipe can fill a swimming pool in 9hrs and an outlet pipe can empty the pool in 12hrs. Through an error, both pipes are left op... | 4 | [
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-0.02233886... | 26,866 | 26866 | |
Exponential problem
November 28th 2009, 12:45 AM #1
Member
Joined
Jan 2009
From
London
Posts
92
Exponential problem
Guys, Just a quick one:
Can anyone help me with e^((x+2lnx)) which is part of a bigger problem I'm working on?
I think that it is e^x + x^2 but apparently this is wrong. I can... | 5 | [
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0.000957489013... | 26,867 | 26867 | |
Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 791863, 5 pages
http://dx.doi.org/10.1155/2013/791863
Research Article
Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation
Internation... | 5 | [
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-0.111328125... | 26,868 | 26868 | |
limit of infinite sequence
December 12th 2012, 04:44 AM #1
Junior Member
Joined
Mar 2012
From
malaysia
Posts
73
Thanks
11
limit of infinite sequence
not sure to put this in pre calculus or calculus, sorry if mistaken
Find the following limit.
Given that $\frac{\pi}{2}<\theta<\pi$ where $... | 4 | [
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0.0166015625,
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0.0220947265625,
0.0356445312... | 26,869 | 26869 | |
Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach
Advances in Condensed Matter Physics
Volume 2012 (2012), Article ID 619513, 15 pages
http://dx.doi.org/10.1155/2012/619513
Research Article
Thermodynamics of the Classical Planar Ferromagnet Close to ... | 4 | [
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... | 26,870 | 26870 | |
How should I deal with this system of equations?
December 27th 2012, 09:03 PM #1
Member
Joined
Oct 2011
Posts
86
Thanks
2
How should I deal with this system of equations?
$0 = \frac{2}{3} + 2C + D$
$0 = 2 +6B +6C + 4D + 4E$
$6 = 10 + 12B - 6C +10D -5E$
$0 = \frac{1}{3} + B + D$
I don... | 4 | [
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0.0590... | 26,871 | 26871 | |
Fourier Transform of rect and time shifting.
May 26th 2010, 07:08 AM #1
Newbie
Joined
May 2010
Posts
1
Fourier Transform of rect and time shifting.
The transform is simple, but I am sure I am missing something in the end.
f(t) =
0 for [-inf --> 2]
8 for [2 --> 6]
0 for [6 --> +inf]
... | 5 | [
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0.0114135... | 26,872 | 26872 | |
finding logs in terms of another log
March 18th 2009, 10:48 AM
jlefholtz
finding logs in terms of another log
I did several of these but am confused by this one.
let a= log2 5 and b= log3 2. Express the following in terms of a, b, or both.
log2 6=? and log5 3=?
cancel the first one, I figured it o... | 4 | [
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-0.181640625,
0.09228515625,
-0.... | 26,873 | 26873 | |
Maximum/minimum geometry, not easy
September 2nd 2007, 12:22 PM #1
Junior Member
Joined
Sep 2007
Posts
37
Maximum/minimum geometry, not easy
Given a point P in the interior of an angle with vertex O, find points A and B on the sides of the angle so that OA=OB and the sum PA+PB is minimal
Could someb... | 5 | [
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0.1396484375,
0.036376953125,
-0.0... | 26,874 | 26874 | |
Congruence Proof
October 19th 2011, 10:20 PM
jzellt
Congruence Proof
Show that if n is a composite integer not equal to 4, then (n-1)! is congruent to 0 (mod n).
Please help... Thanks.
October 19th 2011, 10:33 PM
TheChaz
Re: Congruence Proof
n = a*b,
Suppose n > a > b > 1
Then (n-1)! = (n - ... | 4 | [
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A Volvelle for the Equation of Daylight
Dave Abercrombie, abe@rahul.net
This volvelle is from Galluci's Theatro del Mundo ye tiempo Granada published 1657 in Venice. It is based on the Equation of Daylight, and is useful for calculations involving "seasonal hours" (aka
"unequal hours"). This page outlines the mathema... | 4 | [
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0... | 26,876 | 26876 | |
The Modified Parseval Equality of Sturm-Liouville Problems with Transmission Conditions
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 619358, 11 pages
http://dx.doi.org/10.1155/2013/619358
Research Article
The Modified Parseval Equality of Sturm-Liouville Problems with Transmission Conditions
School ... | 5 | [
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Whats stronger,, round tubing or square ???
Quote:
Originally Posted by willys36@aol.com
Need to go back to your mechanics of materials course. See this little
essay
on moment of inertia and radius of gyration of various shapes. Key sentence in this dissertation is
"All things being equal, a circular pipe is the m... | 5 | [
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0.007537841796875,
0... | 26,878 | 26878 | |
Stability and Hopf Bifurcation Analysis for a Gause-Type Predator-Prey System with Multiple Delays
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 795358, 12 pages
http://dx.doi.org/10.1155/2013/795358
Research Article
Stability and Hopf Bifurcation Analysis for a Gause-Type Predator-Prey System with Mul... | 5 | [
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0.02783203125,
-0.04443359375,... | 26,879 | 26879 | |
Exponents, unlike mulitiplication, do NOT "distribute" over addition.
February 23rd 2010, 09:40 AM
sherlewman
Exponents, unlike mulitiplication, do NOT "distribute" over addition.
i think this is supposed to be an example of an exponent not "distributing over addition?
(x-2)2
(x – 2)2 = (x – 2)(x – 2) ... | 4 | [
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0.035400390625,
0.09375,
-0.041748046875,
-0.0546875,
... | 26,880 | 26880 | |
Prooving surjective and injective functions
October 20th 2009, 10:33 AM
neelpatel89
Prooving surjective and injective functions
Let g : A -> B and f : B -> C be functions.
Show that if f and g are injective, then f o g is injective.
Show that if f and g are surjective, then f o g is surjective.
i do... | 5 | [
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Dividing Polynomials
September 8th 2007, 09:08 AM
JonathanEyoon
Dividing Polynomials
I know how to do the long division method but i'm a bit lost with the synthetic way. What are the rules and method in doing it this way?
An example to use
(x^6 + x^4 + x^2 + 1) / (x^2 + 1)
Thanks alot
Septemb... | 4 | [
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Proof involving permutations
February 9th 2010, 08:42 AM #1
Junior Member
Joined
Oct 2008
Posts
54
Proof involving permutations
Hi, I have this question and I'm not sure if i'm going about it in the right way.
Let $\sigma$, $\tau$ are permutations.
Prove that sgn( $\tau^{-1} \sigma \tau$) = sgn... | 5 | [
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Patent US4512020 - Data processing device for processing multiple-symbol data-words based on a symbol-correcting code and having multiple operating modes
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention relates to a data processing device for the processing of data words which are composed of k=2p-... | 4 | [
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the encyclopedic entry of Ordinal multiplication
In the mathematical field of
set theory
,
ordinal arithmetic
describes the three usual operations on
ordinal numbers
: addition, multiplication, and exponentiation. Each can be defined in essentially two different ways: either by constructing an explicit
well-orde... | 4 | [
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Finding theta given csc and cot...
September 29th 2007, 11:23 PM #1
Newbie
Joined
Sep 2007
Posts
17
Finding theta given csc and cot...
Generally a problem such as mine would be quite easy, but instead of given constants, I'm given two trigonometric functions:
$csc\Theta = \frac{x+6}{x-2}$
$cot\... | 4 | [
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How would you interpret this related rates problem?
August 30th 2012, 07:36 PM #1
Newbie
Joined
Jun 2012
From
Canada
Posts
20
A child's toy is a flat disk shaped rectangle with a semi-circular end. The length of the rectangle is three times the width and the width is measured to be 8 cm with an error ... | 5 | [
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Integration, general power formula
May 3rd 2013, 10:59 AM
togo
Integration, general power formula
Question - integrate the following:
(int) (4- (e^x))^3 e^x dx
attempt:
u = (4 + e^x)
n = 3
du = e^x
therefore answer is:
((4 + (e^x))^4) / 4 + c
which is incorrect, and should be:... | 5 | [
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Remainder theorem
April 10th 2011, 08:56 AM
Ilsa
Remainder theorem
The expression $f(x) = ax^3 - ( a + 3b )x^2 + 2bx + c$ is excatly divisible by $x^2 - 2x$. When $f(x)$ is divided by $x - 1$ , the remainder is 8 more than when it is divided by $x + 1$.
Factorise $f(x)$ completely.
April 10th 2011, 09:04 AM... | 4 | [
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Counter Example in Topology regarding Product Topology
April 7th 2012, 10:38 AM #1
Newbie
Joined
Apr 2012
From
Israel
Posts
2
Counter Example in Topology regarding Product Topology
Hello everyone,
I'm in need of some assistance with the following quesiton:
Let $\left\{ X_{\alpha}\right\} _{\... | 5 | [
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Metric Space
January 10th 2009, 03:53 PM
aliceinwonderland
Metric Space
Show that the limit of a convergent sequence of distinct points in a metric space is a limit point of the range of the sequence. Give an example to show that this is not true if the word
"distinct" is omitted.
January 10th 2009, 05:37 P... | 5 | [
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Countable set
November 9th 2006, 11:45 PM #1
Junior Member
Joined
Aug 2006
Posts
29
Countable set
hello.
I cant seem to prove the following:
$A,B$ are two different sets such that $A \subset B$
prove that if there exists an injective function $f:A\to B$.
then there exists a countable in... | 5 | [
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Applying Cauchy-Goursat theorem/ doing it the "hard way"
July 20th 2010, 11:31 AM
arbolis
Applying Cauchy-Goursat theorem/ doing it the "hard way"
I must apply Cauchy-Goursat theorem to show that $\int _C f(z)dz=0$ where $C:=\{ z\in \mathbb{C} ; |z|=1 \}$ and $f(z)=\frac{z^2}{z-3}$.
So what I wrote was "f i... | 5 | [
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Initial Value Problems Example 1
Initial Value Problems Example 1 We’re going to move on and go ahead and do some initial value problems. They usually look like and there was basic form. The problem will give you two things dy or dx
in an equation with this and at the same time basic initial value problems. You always ... | 5 | [
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Integration by reduction formulae
May 7th 2008, 08:43 PM #1
Member
Joined
Sep 2007
Posts
198
Integration by reduction formulae
Given that $I_n =$ $\int_{0}^{1}\frac {1}{(1+x^2)^n} dx$, show that, for n≥2,
$2(n-1)I_n = 2^{1-n} + (2n-3)I_{n-1}$
Please help me to solve this.
Its less messy t... | 5 | [
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Solving Logarithmic Equations
January 6th 2009, 05:54 PM #1
Newbie
Joined
Jan 2009
Posts
3
Hey guys, I'm having trouble with a couple of grade 12 math questions. A friend of mine told me about this forum, and spoke highly of the positive response to all of his posts. I have been
attempting these quest... | 4 | [
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Some New Estimates for the Error of Simpson Integration Rule
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 239695, 9 pages
http://dx.doi.org/10.1155/2012/239695
Research Article
Some New Estimates for the Error of Simpson Integration Rule
^1Department of Mathematics, K. N. Toosi University of Technolo... | 5 | [
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Parabola and Line Intersection Points
March 14th 2009, 10:29 PM
Stevo_Evo_22
Parabola and Line Intersection Points
Here is the problem:
A graphic designer draws a logo involving a parabola ‘sitting’ in a V shape on a set of axes as shown at right.
Find the equation of the parabola, given it is of the ... | 4 | [
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Physics Of Billiards
The Physics Of Billiards
Photo credit:
Manatari Physics Of Billiards — Ball Collision
The physics behind billiards (or the physics behind pool), in large part, involves collisions between billiard balls. When two billiard balls collide the collision is nearly elastic. An elastic
collision is one... | 5 | [
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