content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Probability of wining a series
September 28th 2008, 06:38 PM #1
Probability of wining a series
A and B play a series of game, the probability of A wining is $p$ and the probability of B wining is $1-p$. The winner of the series is the player that wins 2 more games.
A) Find the probability that A is the final... | 5 | [
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-0.02978515625,
-0.0054931640625,
0.037353515625,
-0.00775146484375... | 30,900 | 30900 | |
On a Maximal Number of Period Annuli
Abstract and Applied Analysis
VolumeΒ 2011Β (2011), Article IDΒ 393875, 8 pages
http://dx.doi.org/10.1155/2011/393875
Research Article
On a Maximal Number of Period Annuli
^1Information Systems and Management Institute, Ludzas Street 91, 1019 Riga, Latvia
^2Institute of Mathemati... | 5 | [
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... | 30,901 | 30901 | |
Assistance with trigonometric inequality needed please
February 16th 2011, 10:01 AM #1
Newbie
Joined
Feb 2009
Posts
11
Assistance with trigonometric inequality needed please
Hey everyone, I'm doing some inequalities and I'm stuck with some trigonometric ones as I've never really encountered them before, ... | 4 | [
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limits in the complex domain
Show that $<br /> \lim_{n \to \infty}(i)^\frac{1}{n}=1<br />$ where $(i)^\frac{1}{n}$ is the principal value of the nth root of $i$.
I am not sure what you mean by $i^{1/n}$. But given the equation, $x^n=i=\cos \pi/2 +i\sin \pi/2$ Then, (by de Moiver's theorem) $x=\cos \left( \frac{\pi}{2n... | 5 | [
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0.0322265625,
-... | 30,903 | 30903 | |
Dice throwing problem
March 3rd 2010, 07:35 AM #1
Dice throwing problem
The problem is following:
A and B takes turns throwing a dice. A begins. Who throws six first wins. What's the probability that A wins?
I tried to examine probabilities that A wins on different rounds. Something like this:
1. $<b... | 4 | [
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0.07080078125,
-0.05200195312... | 30,904 | 30904 | |
quadratic equation problem
May 1st 2010, 02:30 AM #1
Member
Joined
Oct 2009
Posts
202
quadratic equation problem
Given that one of the root of the quadratic equation 2x(4x-9)=4-3p is half the other root.find:
a)value of p
b) root of the quadratic equation..
anyone sir...please help!
... | 4 | [
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Linear Algebra help
July 13th 2008, 10:08 AM #1
Junior Member
Joined
Apr 2008
From
Gainesville
Posts
68
Linear Algebra help
Let V and W be vectors spaces, and let S be subset of V. Define S^0 = { T \in \L(v,w) : T(x) =0 for all x \in \ S.
Prove the following statements
a) S^0 is a subspace o... | 4 | [
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Linear algebra toughy
May 4th 2008, 12:28 PM
mathisthebestpuzzle
Linear algebra toughy
Suppose that n is a positive integer. Define T \ $in L(F^n)$ by:
T( $z_1$, ....., $z_n$)=(0, $z_1$,...., $z_n-1$).
Find a formula for T*( $z_1$, ....., $z_n$).
T*is the adjoint of T.
May 4th 2008, 09:34 PM
Cap... | 5 | [
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Math Help
November 17th 2010, 07:39 AM #1
Super Member
Joined
Aug 2009
Posts
639
continuous
how do you prove that the unction f(x) = tan(x+x^2)/(1+x+x^2) is continuous for all x=[0,1] except at one point.
i found out that it is not cont at x= 0.84936..but i dont know how to prove that it is continu... | 5 | [
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prove by induction
October 23rd 2011, 05:39 AM #1
prove by induction
Let G be a group, and $a,b\in{G}$. For any positive integer $n$ we define $a^n$ by
$a^n=\underbrace{aaa...a}_{\text{n factors}}$ .
Now prove by induction:
If $ab=ba$, then $(ab)^n=a^nb^n$
*edit: Please, no spoilers. Just... | 4 | [
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0... | 30,909 | 30909 | |
Polynomials which factors but have no roots?
May 28th 2010, 04:53 AM
1337h4x
Polynomials which factors but have no roots?
Hello all,
Can anyone think of an example of a polynomial f(g) with integer coefficients which factors (poly mod n) but has no roots, e.g. for which there are no such integers g where f(... | 4 | [
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Inverse Trig Function Integrals
I did this exercises, but I have a doubt in the process, thanks for your help.
The integral, $\int \frac{1}{x\sqrt{x^2-4}}dx$ Is almost the inverse cosecant integral. There are some adjustments. First, $x^2-4=x^2-2^2$ Thus, it has form, $\csc^{-1} (x/2)$ But note the following,
that if ... | 5 | [
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Location Optimization of Multidistribution Centers Based on Low-Carbon Constraints
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 427691, 6 pages
http://dx.doi.org/10.1155/2013/427691
Research Article
Location Optimization of Multidistribution Centers Based on Low-Carbon Constraints
^1School ... | 5 | [
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Writing as a function of only cosine without any powers of cosine
December 9th 2012, 09:42 PM #1
Newbie
Joined
Dec 2012
From
USA
Posts
2
Writing as a function of only cosine without any powers of cosine
Hi, can anybody help me on this problem? Thanks in advance ^^
Write Cos^3(2θ) * Sine^2(2θ) as... | 5 | [
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0.0791015625... | 30,913 | 30913 | |
Set theory, transitive sets
February 22nd 2009, 05:41 AM #1
Junior Member
Joined
Jun 2008
Posts
56
Set theory, transitive sets
Could someone please prove, using the principle of mathematical induction, that the set $\omega$ consisting of all natural numbers is a transitive set?
That is, prove that:
... | 4 | [
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0.009643... | 30,914 | 30914 | |
Statistical Analysis and Calculation Model of Flexibility Coefficient of Low- and Medium-Sized Arch Dam
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 860760, 20 pages
http://dx.doi.org/10.1155/2012/860760
Research Article
Statistical Analysis and Calculation Model of Flexibility Coefficient of L... | 4 | [
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Homework Help
Posted by Katy on Tuesday, March 29, 2011 at 10:48pm.
An Equilateral triangle (ABC) is inscribed inside a circle. The side lengths of the triangle are 8 cm. What is the radius of the circle?
• geometry - MathMate, Wednesday, March 30, 2011 at 9:14am
Let the triangle be named ABC.
Name the cen... | 4 | [
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Kraitchik method
1. November 23rd 2009, 06:10 AM #1
2. November 23rd 2009, 07:06 AM #2
First, $143^2=20,449$, so:
$u_1=143^2-20,437=12=2^2\cdot 3$
$u_2=144^2-20,437=299$
$u_3=145^2-20,437=588=2^2\cdot 3\cdot 7^2$
We see that $u_1\cdot u_3=2^4\cdot 3^2\cdot 7^2$ , a squ... | 5 | [
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Distribution Maximum
Hello, Harry! Just take the derivative, equate to zero, and solve . . . Assuming x > 0, we have: .f(x) .= .2ax·e^{-ax²} Differentiate and equate to zero: . . f'(x) .= .2ax·e^{-2ax²}(-2ax) + 2ae^
{-ax²} .= .0 Divide by 2ae^{-ax²}: .-2ax² + 1 .= .0 And we have: .2ax² .= .1 . . → . . x² = 1/2a . . . .... | 5 | [
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the encyclopedic entry of lagrange's method
Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order (number of elements) of every subgroup H of G divides the order of G. Lagrange's theorem is named
after Joseph Lagrange.
Proof of Lagrange's Theorem
This can be shown using... | 4 | [
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Proving Identities
April 18th 2005, 12:26 PM #1
Newbie
Joined
Apr 2005
Posts
23
Proving Identities
I am having problems with proving identities. Could someone please help me?
1. tanx + cot x = secxcscx
2. sec^2x = ___cscx____
cscx - sinx
3. _tan^2t__ = sect - cost
sect
We firs... | 4 | [
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Numerical Study of Flutter of a Two-Dimensional Aeroelastic System
ISRN Mechanical Engineering
Volume 2013 (2013), Article ID 127123, 4 pages
http://dx.doi.org/10.1155/2013/127123
Research Article
Numerical Study of Flutter of a Two-Dimensional Aeroelastic System
Department of Mechanical Engineering, Atma Jaya Catho... | 4 | [
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Induction
August 25th 2010, 03:30 PM
Apprentice123
Induction
How can I prove by induction that:
$n^2 > 3n$ for all n>=4
I do:
n=k
P(k) = k^2 > 3k
P(k+1) = (k+1)^2 > 3(k+1)
How to solve
P(k) --> P(k+1) to prove that P(n) is truth ???
August 25th 2010, 03:38 PM
Defunkt
$(k+1)^... | 4 | [
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Perfect squares of n and n+99
July 7th 2010, 09:47 AM
Mukilab
Perfect squares of n and n+99
How many positive integer solutions are there n such that both n and n+99 are perfect squares?
I believe there is only 1 solution.
Any tips on how to tackle this? I haven't really come up with a method or a form... | 4 | [
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savings, interest, inflation etc...
June 18th 2009, 08:35 PM
Lobotomy
savings, interest, inflation etc...
Hi
this is the parameters i want to use:
Initial investment (a)
deposit per f1 (d) for example 1000 per month
frequency of deposit per year (f1), f1=12 if it is per month
frequency ... | 4 | [
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Basis matroids
Basis matroids
In a matroid, a basis is an inclusionwise maximal independent set. The common cardinality of all bases is the rank of the matroid. Matroids are uniquely determined by their set of bases.
This module defines the class BasisMatroid, which internally represents a matroid as a set of bases.... | 5 | [
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Sequence of measurable functions.
October 3rd 2010, 10:43 AM #1
Junior Member
Joined
Aug 2010
Posts
37
Sequence of measurable functions.
In a book that I am reading, they give the following proposition:
Let (X, A) be a measure space, and let B inside X that belongs to A. Let f be a [0, infinity]-val... | 4 | [
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Confusing Integral!
February 5th 2011, 03:08 PM
Vamz
Confusing Integral!
$\displaystyle \int \sqrt{4 x - x^2} \, dx$
I really don't know how to evaluate this! I cant get it into the form of any of the inverse trig functions. Im trying to learn the trig substitution method. Could this work on this? Would the... | 5 | [
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Integration trig help
How do i integrate SinxCosX by parts? I am stuck
Last edited by Benja303; April 18th 2013 at 02:11 PM.
-1/2 cos^2(x)? BTW how do i know when to use parts or not?
Plato is right that using Integration by Parts here is overkill, but if you MUST use it... \displaystyle \begin{align*} I &= \int{\si... | 5 | [
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Derivatives - Falling Objects
October 8th 2007, 10:13 AM #1
Junior Member
Joined
Oct 2007
Posts
69
Derivatives - Falling Objects
I have to answer a problem using the following function:
-16t^2 + Vot + So
(Sorry the notation is bad, but the middle term is initial velocity and So is distance)
... | 4 | [
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Complex equation
October 1st 2008, 01:09 AM #1
Newbie
Joined
Aug 2006
Posts
24
Complex equation
Hi I have this equation
$(e^{\pi\cdot z})^{2}=i$
Where I have to find the roots, when modulus er less than 1.
Cannot really solve it...
I have tried to $t=e^{\pi\cdot z}$
And then trie... | 5 | [
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Heat Generation and Thermal Radiation Effects over a Stretching Sheet in a Micropolar Fluid
ISRN Thermodynamics
Volume 2012 (2012), Article ID 795814, 6 pages
http://dx.doi.org/10.5402/2012/795814
Research Article
Heat Generation and Thermal Radiation Effects over a Stretching Sheet in a Micropolar Fluid
Department ... | 4 | [
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Homework Help
Posted by Sawa on Saturday, May 8, 2010 at 5:42pm.
If $3,000.00 is deposited into an account paying 3% interest compounded annually (at the end of each year), how much money is in the account after 4 years? (Round to the nearest cent.)
• math - MathMate, Saturday, May 8, 2010 at 7:43pm
The compou... | 4 | [
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Numerical solution to hyperbolic PDE - grid leapfrog.
November 24th 2011, 10:45 AM #1
Newbie
Joined
Nov 2011
Posts
10
Numerical solution to hyperbolic PDE - grid leapfrog.
Hi!
I'm working on solving partial differential equations numerically (writing codes). And its literally killing my soul.
I... | 4 | [
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Elastoplastical Analysis of the Interface between Clay and Concrete Incorporating the Effect of the Normal Stress History
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 673057, 12 pages
http://dx.doi.org/10.1155/2013/673057
Research Article
Elastoplastical Analysis of the Interface between Clay and Con... | 4 | [
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Greatest Common Divisor Problen: If gcd(a, b) = 1, solve gcd(a^2 + b^2, a + b)
June 9th 2011, 02:08 PM
VinceW
Greatest Common Divisor Problen: If gcd(a, b) = 1, solve gcd(a^2 + b^2, a + b)
How do I solve the problem in the subject line? The back of the book lists an answer "1 or 2", but I'd like to see the steps... | 5 | [
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Bhaskara equation help
March 9th 2011, 07:52 AM #1
Newbie
Joined
Feb 2011
Posts
8
Bhaskara equation help
Hello, I'm having problems to solve this equation:
$6x^2-5x^-^1+1=0$
I really don't know how to do.
I don't know if it will be $5.\frac{1}{x}$ or $\frac{1}{5x}$ and how do I get a b and... | 4 | [
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[SOLVED] Calculate a volume + theoretical question
July 11th 2009, 03:51 PM #1
[SOLVED] Calculate a volume + theoretical question
1)Identify the region of integration and calculate the following integral using spherical coordinates : $\int_{-3}^{3} \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int _0^{\sqrt{9-x^2-y^2}} z\... | 5 | [
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Institute for Mathematics and its Applications (IMA)
We describe a collection of techniques which allow for the fast and accurate solution of boundary integral equations on two-dimensional domains whose boundaries have corner points. Our approach has
two key advantages over existing and recently suggested schemes: (1) ... | 4 | [
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Homework Help
Posted by Allison on Thursday, September 22, 2011 at 6:31pm.
9/10th (3+8x)+3greater or equal to 15 what is the solution to this?
• Matth 116 - Henry, Saturday, September 24, 2011 at 5:27pm
9/10(3x+8) + 3 >= 15,
27x/10 + 72/10 +3 >= 15,
Multiply both sides by 10:
27x + 72 + 30 >= 150,
... | 4 | [
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2sin^2(x)-sin(x)=3
February 20th 2008, 02:47 AM #9
Junior Member
February 18th 2008, 06:08 PM #8
February 18th 2008, 05:50 PM #7
February 18th 2008, 05:46 PM #6
February 18th 2008, 05:34 PM #5
Newbie
February 18th 2008, 05:32 PM #4
February 18th 2008, 05:26 PM #3
Newbie
February 18th 2008, 05:19 PM #2
February 18... | 4 | [
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Confused on Algebra 2 counting principles story problem
January 3rd 2008, 11:30 AM #1
I have been having many difficulties on trying to figure out what this story problem is asking if you can please help.
This is it:
A Person is wearing a bracelet with 12 settings around the bracelet. How many different ... | 4 | [
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How do I make R2 the subject of this formula?
March 22nd 2011, 10:19 AM
becca
How do I make R2 the subject of this formula?
Hi,
How would I go about making R2 the subject of the formula on the following Wiki page, it's the one under Applications - Voltage Source (Vout = ...)? I don't know how to include the... | 4 | [
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Homework Help
Posted by Tiffany Enlow on Friday, April 10, 2009 at 3:20pm.
4. Find the exact value for sin(x+y) if sinx=-4/5 and cos y = 15/17. Angles x and y are in the fourth quadrant.
5. Find the exact value for cos 165degrees using the half-angle identity.
1. Solve: 2 cos^2x - 3 cosx + 1 = 0 for 0 less than or e... | 4 | [
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Pre-Algebra Placement Test problem
November 5th 2010, 11:54 AM #1
Newbie
Joined
Nov 2010
Posts
18
Pre-Algebra Placement Test problem
I'm preparing for college and I got stuck on one of the problems of Pre-Algebra Placement Test.. So can someone please help me find the solution to it.
A total of 50 j... | 4 | [
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Problem breakdown (interest)
February 6th 2010, 12:01 PM #1
Newbie
Joined
Oct 2009
Posts
24
Problem breakdown (interest)
There are a lot of stuff in this question... and I can't wrap my brain around it all. How do I break it down?
The question:
Suppose you borrow P dollars at a monthly interest... | 4 | [
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Proving a statement by Induction
April 19th 2011, 10:08 PM
Oiler
Proving a statement by Induction
Hey all,
I have the following statement: 5|7^k-2^k for all k in N
I want to prove it by induction, so I proceed as follows..
Basis step:
let p(k) be the statement that 7^k-2^k = 5m for m in N and k... | 4 | [
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0... | 30,946 | 30946 | |
Solving differential equation from variational principle
March 26th 2013, 09:29 AM #1
Junior Member
Joined
Jun 2010
Posts
46
Solving differential equation from variational principle
I have the following differential equation which I obtained from Euler-Lagrange
variational principle
$\frac{\parti... | 4 | [
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... | 30,947 | 30947 | |
Number of possible triangle.
November 29th 2011, 08:19 AM
livinggourmand
Number of possible triangle.
Q)triangle has n dots on each side. (as shown in fig) How many triangles can be formed (any size).
1st image (image002.jpg)
http://postimage.org/image/e1l6d685r/
My incomplete solution :(
Ans... | 4 | [
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... | 30,948 | 30948 | |
Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 781563, 22 pages
http://dx.doi.org/10.1155/2012/781563
Research Article
Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-... | 5 | [
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-0.06787109... | 30,949 | 30949 | |
Math Help
August 17th 2010, 11:08 AM #1
Newbie
Joined
Aug 2010
Posts
14
percents
soybean is 16% protien . corn is 8% protien. how many pounds of each should be mixed together in order to get 320 lb mixture that is 12% protien.
how many pounds of soybean
how many pounds of corn
Hi maf... | 4 | [
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Two-Stage Detectors with Multiple Energy Detectors and Adaptive Double Threshold in Cognitive Radio Networks
International Journal of Distributed Sensor Networks
Volume 2013 (2013), Article ID 656495, 8 pages
http://dx.doi.org/10.1155/2013/656495
Research Article
Two-Stage Detectors with Multiple Energy Detectors and... | 4 | [
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C3 Trigonometry Question
February 27th 2013, 10:33 AM #1
Newbie
Joined
Feb 2013
From
England
Posts
11
C3 Trigonometry Question
Here is a question, I've got an answer to it but I think its wrong
a) prove that (done)
$\frac{1-cos2\Theta }{sin2\Theta }\equiv tan\Theta$
b) verify that
... | 4 | [
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... | 30,952 | 30952 | |
A rather basic log question I believe
July 15th 2010, 10:52 AM #1
Newbie
Joined
Jul 2010
Posts
8
A rather basic log question I believe
"Solve for x:"
2 X 3^2x+3 = 3 X 2^3x+4
(X is multiply)
feel silly for posting this, is a simple log question i think, but its got me stumped.
thanks
... | 4 | [
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Separation Axioms in Intuitionistic Fuzzy Topological Spaces
Advances in Fuzzy Systems
Volume 2012 (2012), Article ID 604396, 7 pages
http://dx.doi.org/10.1155/2012/604396
Research Article
Separation Axioms in Intuitionistic Fuzzy Topological Spaces
^1Electronics and Communication Sciences Unit, Indian Statistical I... | 4 | [
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0.06201171875,
-0.026123046875,
0.08349609375,
0.038818359375,
0.064453125,
-0.1... | 30,954 | 30954 | |
Partial Resolution of Complex Cones over Fano
Advances in High Energy Physics
Volume 2013 (2013), Article ID 295842, 10 pages
http://dx.doi.org/10.1155/2013/295842
Research Article
Partial Resolution of Complex Cones over Fano
Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India
Receiv... | 4 | [
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0.05419921875... | 30,955 | 30955 | |
Maximum Likelihood Estimation - Examples
EXPONENTIAL DISTRIBUTION
Let X 1 , X 2 ,..., X n X 1 , X 2 ,..., X n be a random sample from the exponential distribution with p.d.f.
f( x;θ )= 1 θ e −x/θ ,0<x<∞ f( x;θ )= 1 θ e −x/θ ,0<x<∞ , θ θ belongs to Ω=( θ;0<θ<∞ ). Ω=( θ;0<θ<∞ ).
The likelihood function is given by
L(... | 4 | [
-0.044677734375,
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0.01507568359375,
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0.00653076171875,
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0.011962890625,
0.048828125,
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0.11767578125,
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0.005950927734375,
0.01068115234375,
... | 30,956 | 30956 | |
Math 2 questions
Posted by Anonymous on Wednesday, May 22, 2013 at 9:21pm.
I need help with 2 questions so that I could do my other ones myself so can someone please do these 2 questions so i get an example how to do them, thanks.
1. Lauren works for a bookstore. One of the stores suppliers has a promotion in which a... | 4 | [
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0.02392578125,
-0... | 30,957 | 30957 | |
Trigonomic function question
July 19th 2007, 05:32 AM #1
Newbie
Joined
Jun 2007
Posts
6
Trigonomic function question
Hey, I have been working a bit with the trig functions and came across this problem:
B = (A + sin(theta) )/ (sin(theta)*cos(theta))
when you separate the above fraction into the ... | 4 | [
-0.1416015625,
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... | 30,958 | 30958 | |
Volume of a solid
May 15th 2011, 08:55 PM
jackie
Volume of a solid
My friend and I ran into another problem that we were not able to solve. If anyone can gives us a hint, we'd really appreciate it.
A solid is generated by rotating the curve $y=f(x)$ where $0\leqslant x \leqslant c$ about the x-axis, and the... | 5 | [
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0.062988281... | 30,959 | 30959 | |
word problem
September 28th 2008, 09:40 PM #1
Newbie
Joined
Jul 2008
From
qc
Posts
11
word problem
Lornz can finish checking a set of papers in 2/3 hours as Butch can and Butch can do it in 3/4 as many hours as Fe. working together, they can do it in 36/13 hours. In how many hours can each of
the... | 4 | [
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0.018310546875,
-... | 30,960 | 30960 | |
the encyclopedic entry of recursive functions
The
primitive recursive functions
are defined using primitive
recursion
and
composition
as central operations and are a strict
subset
of the
recursive functions
(recursive functions are also known as
computable functions
). The term was coined by
Rózsa Péter
.... | 4 | [
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0.034423828125,
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0.038818359375,
-0.028564453125,
-0.0908203125,
-0.04248046875,
0.013... | 30,961 | 30961 | |
Adaptive Neural Sliding Mode Control of Active Power Filter
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 341831, 8 pages
http://dx.doi.org/10.1155/2013/341831
Research Article
Adaptive Neural Sliding Mode Control of Active Power Filter
Jiangsu Key Laboratory of Power Transmission and Distribution Eq... | 4 | [
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0.035400390625,
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Multiresolution Analysis for Stochastic Finite Element Problems with Wavelet-Based Karhunen-Loève Expansion
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 215109, 15 pages
http://dx.doi.org/10.1155/2012/215109
Research Article
Multiresolution Analysis for Stochastic Finite Element Problems with W... | 4 | [
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the encyclopedic entry of natural-number
In
mathematics
, a
natural number
(also called
counting number
) can mean either an element of the
set
{1, 2, 3, ...} (the
positive integers
) or an element of the set {0, 1, 2, 3, ...} (the
non-negative
integers). The former is generally used in
number theory
, wh... | 4 | [
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Limit with cubic factor
Find $\lim_{x\to0}\frac{(2+x)^{\frac13}-2^{\frac13}}{x}$ I suspect somehow i need to utlise $a^3-b^3=(a-b)(a^2+ab+b^2)$ although i am not sure how to do it thanks
$lim_{x\to 0}\frac{{(2+x)^{\frac{1}{3}}}-2^{\frac{1}{3}}}{(2+x)-2}$ which is one of generalised form $lim_{x\to 0}\frac{x^n-a^n}{x-a... | 5 | [
0.018798828125,
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0.0203857421875,
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-0.01239013671875,
0.015869140625,
-0.03... | 30,965 | 30965 | |
Solving Equations With Variables on Both Sides
October 23rd 2006, 04:35 PM
hectorjimenezjr@yahoo.com
Solving Equations With Variables on Both Sides
Hi,
Name is Hector. Working with my son trying to help w/ equations with variables on both sides. To be honest, I have NO IDEA how to proceed.
Can someone ... | 4 | [
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-0.01318359375,
-0.01007080078125,
0.032470703125,
-0.06591796875,... | 30,966 | 30966 | |
Fermat's Little Theorem
May 30th 2009, 03:36 AM #1
I want to use Fermat's Little Theorem to deduce that
$13^{16n+2} + 1$
is divisible by 7, where n is a positive integer.
Does this have anything to do with modular arithmetic? D:
If so, would I set it up like $13^{16n+2} \equiv 1 (mod 7)$
He... | 5 | [
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0.0400390625,
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... | 30,967 | 30967 | |
Dungeons and Dragons
June 13th 2011, 01:12 PM #1
Newbie
Joined
Feb 2010
Posts
7
Dungeons and Dragons
To generate your stats you roll four six-sided dice, drop the lowest and add the other 3. What is the average score you would get with this process, please? and why...
Thanks,
Morlaf
Re: Dungeon... | 5 | [
0.057861328125,
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0.03369140625,
-0.018188476... | 30,968 | 30968 | |
the encyclopedic entry of magnetic 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 observable... | 4 | [
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0.0722... | 30,969 | 30969 | |
Find all functions u_0(x)...
January 10th 2011, 05:02 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Find all functions u_0(x)...
Find all functions $u_0(x)$ for which the problem
$u_x-2u=0$
$u(x,0)=u_0(x)$
$\displaystyle\int\frac{u_x}{u}dx=\int 2dx\Rightar... | 5 | [
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-0.0263671875,
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0.004974365234375,
0.142578125,
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-0.0078125,
0.01611328125,
0.012451171875,
-0.05224609375,
-0.08544921875,
... | 30,970 | 30970 | |
U-sub definite integral
May 4th 2009, 11:14 PM #1
Newbie
Joined
May 2009
Posts
1
U-sub definite integral
The integral on 0 to 8 of g(u)du = 15
What is the integral on 0 to 64 of g(t/8)?
What is the integral on 0 to 8 of g(8-t)?
$\int_{0}^{64}g\left(\frac{t}{8} \right)dt$
let $u=\frac{... | 4 | [
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0.015380859... | 30,971 | 30971 | |
2^n is incongruent to 1 (mod n)
Question Show that 2^n is incongruent to 1 (mod n) for all n>1. Thank you very much.
First you can prime decompose $n$ for it is larger than 1. Then by relative primeness the congruences simplifies. In that case, the problem simplifies to showing, $2^not \equiv 1 (\mbox{ mod } n)$
Where... | 5 | [
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-0.0546875,
-0.009948... | 30,972 | 30972 | |
Set Theory problem
February 24th 2008, 02:35 PM
Foink
Set Theory problem
Hey, can anyone please help me with this problem:
For all sets A, B, C, prove
If $A-C = \emptyset$ then $(A \cup B) - (B \cap C) = (A-B) \cup (B-C)$
This is what I have done so far, but I seem to be stuck:
$(A \cup B) - (... | 4 | [
0.02978515625,
0.056640625,
0.0595703125,
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0.0031585693359375,
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0.031982421875,
0.035888671875,
0.01171875,
0.0198974609375,
-0.044677734375,
... | 30,973 | 30973 | |
Prediction interval for normal distribution
May 3rd 2010, 07:15 PM
gralla55
Prediction interval for normal distribution
My textbook only has formulas for prediction intervals of t-distributed variables. If I have a binomial distribution, with an estimated p, how can I create a prediction interval that with 95%
... | 5 | [
0.006805419921875,
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0.037109375,
0.04541015625,
0.0023040771484375,
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0.0118408203125,
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0.046875,
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Tangent bifurcations
The left intersection of the green line and parabola is an attracting fixed point because the absolute value of the f(x) slope at the point is smaller than one. The slope at the right intersection is
greater than one and it is a repeller. Click the "Demo" button to see how these points meet togeth... | 4 | [
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0.05517578125,
-0.099609375,
-0.1166... | 30,975 | 30975 | |
the encyclopedic entry of Brauer_group
In
mathematics
, the
Brauer group
arose out of an attempt to classify
division algebras
over a given
field K
. It is an
abelian group
with elements
isomorphism
classes of division algebras over
K
, such that the
center
is exactly
K
. The group is named for the al... | 4 | [
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-0.04345703125,
0.... | 30,976 | 30976 | |
[SOLVED] Vectors
May 25th 2008, 02:34 PM #1
Junior Member
Joined
Mar 2008
Posts
67
Using components show that vector u cross vector v = the 0 vector if u and v are collinear.
What does the fact that u and v are colinear tell us?
if two vectors are colinear then the vectors are scalar multiples o... | 4 | [
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0.031005859375,
0.0908203125,
-0.0537109375,
-0.0306396484375,
-0.03515625,
0.002... | 30,977 | 30977 | |
practical differential problem
March 7th 2009, 09:35 PM #1
Junior Member
Joined
Oct 2008
Posts
29
practical differential problem
having some trouble with this, but I dont know what else goes in the equation besides $XY=-12$, can someone help?
"Find two numbers whose product is -12 and the sum of who... | 5 | [
-0.041015625,
0.06494140625,
-0.0167236328125,
-0.0024871826171875,
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0.06689453125,
-0.017822265625,
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0.0634765625,
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0.06787109375,
0.06396484375,
-0.0703125,
-0.00714111328125,
0.0186767578125,
0.04101562... | 30,978 | 30978 | |
Queueing System with Heterogeneous Servers Including One with Working Vacation
International Journal of Stochastic Analysis
Volume 2012 (2012), Article ID 145867, 16 pages
http://dx.doi.org/10.1155/2012/145867
Research Article
An M/M/2 Queueing System with Heterogeneous Servers Including One with Working Vacation
^... | 4 | [
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0.0179443359375,
0.006103515625,
0.07568359375,
-0.076171875,
0.0712890625,
-0.09082... | 30,979 | 30979 | |
Advanced Math Word Problem
November 12th 2011, 07:18 AM #1
Newbie
Joined
Nov 2011
Posts
3
Advanced Math Word Problem
I've never had so much difficulty with a word problem, if someone could help I'd appreciate it. The word problem is below:
Uploaded with ImageShack.us
In the... | 5 | [
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-0.033447265625,
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-0.0028533935546875,
0.01092529296875,
0.048095703125,
0.0028381... | 30,980 | 30980 | |
the encyclopedic entry of Splay trees
A
splay tree
is a
self-balancing binary search tree
with the additional property that recently accessed elements are quick to access again. It performs basic operations such as insertion, look-up and removal in
O
(log(n))
amortized
time. For many non-uniform sequences of op... | 4 | [
-0.004974365234375,
0.057861328125,
-0.047119140625,
-0.0262451171875,
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-0.03759765625,
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0.0289306640625,
0.12890625,
0.04443359375,
-0.037109375,
-0.0186767578125,
0.016357421875,
-0.05712890625,
0.075... | 30,981 | 30981 | |
kpath.census {sna}
Compute Path or Cycle Census Information
Description
kpath.census and kcycle.census compute k-path or k-cycle census statistics (respectively) on one or more input graphs. In addition to aggregate counts of paths or cycles, results may be disaggregated
by vertex and co-membership information may b... | 4 | [
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0.021606... | 30,982 | 30982 | |
Problem based on square root
If $\sqrt{6+\sqrt{6+\sqrt{6+......}}}$, then a) x=3 b) x= $\infty$ c) x=6 d) x=9 Please tell the answer with complete explaination :)
Let: $x = \sqrt{6+\sqrt{6+\sqrt{6+ \cdots}}} > 0$ Now, note that if you square it and move +6 to the LHS: $x^2 = 6 + \sqrt{6+\sqrt{6+ \cdots}} \ \ \Leftrigh... | 4 | [
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0... | 30,983 | 30983 | |
word problem and interval notation
April 14th 2007, 08:33 PM
rj2001
word problem and interval notation
I never liked wp's
the perimeter of a standard rug is 44ft the length is 2ft longer than the width find the dimensions width and length anyone please?
interval notation of the set {xl -2 > x > 6}
... | 4 | [
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0.0286865234375... | 30,984 | 30984 | |
Probability of C+A+R+D=35
August 5th 2012, 10:19 PM #1
Newbie
Joined
Aug 2012
From
South Korea
Posts
17
Probability of C+A+R+D=35
I was asked to solve the below. Could I get help?
Four letters of C, A, R and D have its own natural number: 1,2,3,4,5,.... Sum of the four letters, C+A+R+D=35.
... | 4 | [
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Min. Time Solution
Let the speed of the car be v, the speed of a walking person be u, and the distance between cities by L. We want to minimize T, the time t at which all persons are at displacement x=L (city B), when
they all start at displacement x=0 (city A) at time t=0.
I'll assume that the solution has everyone s... | 5 | [
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0.00... | 30,986 | 30986 | |
Multiplicative Inverse?
December 27th 2007, 10:07 AM #1
Junior Member
Joined
Dec 2007
Posts
27
Multiplicative Inverse?
Solve $3/4x - 5 = 4$
What I don't understand, is if I have to multiply each side by the reciprocal how do I do it if the reciprocal is infinite like 3/4, which ends up being 1.33333... | 4 | [
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0.033447265... | 30,987 | 30987 | |
Mixture story problem
April 3rd 2012, 08:19 PM #1
Junior Member
Joined
Mar 2012
From
United States
Posts
43
Mixture story problem
Trying to learn how to do these types of problems. The last one I had for homework was wrong.
How much 12% Na[2]SO[4] and pure water must be mixed to produce 22.8 gal... | 4 | [
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Approximate Sqrt(2)
The Babylonian Method works well here. It makes use of the bisection method and the fact that if you divide a number by its square root, you get the square root. You need to make an initial guess.
Since $\sqrt{1} < \sqrt{2} < \sqrt{4}$ that means $1 < \sqrt{2} < 2$. Average these endpoints to get $1... | 4 | [
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Is a quadrilateral cyclic?
March 20th 2010, 03:16 PM #1
Newbie
Joined
Mar 2010
Posts
2
Is a quadrilateral cyclic?
Prove that quadrilateral ABCD is cyclic if diagonal AC is perpendicular to side BC and diagonal BD is perpendicular to side AD.
Need a hint to start...I'm stuck with this...
Thanks ... | 4 | [
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Uniformly continuous #3
Prove that if f : (a,b)-->R is is uniformly continuous function in (a,b) so f is bounded function.
Last edited by mr fantastic; January 3rd 2010 at 09:59 PM. Reason: Re-titled
Assume it's not bounded then pick a (unbounded) sequence $(x_n) \subset (a,b)$ such that $f(x_n)<f(x_{n+1})$ for all $... | 5 | [
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Convergence of Solutions to a Certain Vector Differential Equation of Third Order
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 424512, 6 pages
http://dx.doi.org/10.1155/2014/424512
Research Article
Convergence of Solutions to a Certain Vector Differential Equation of Third Order
Department of Mathema... | 5 | [
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optimazation problem - cylinder
April 21st 2010, 12:24 PM #1
Newbie
Joined
Apr 2010
Posts
3
hi,i wqas having a hard time solving this problem...any help would be great
Consider a rectangle of perimeter of 12 inches. We obtain a cylinder by gluing vertical side to the other vertical side. Find the... | 5 | [
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Simple but difficult geometry question (picture included) - First post here :)
October 9th 2012, 07:06 AM
OriaG
Simple but difficult geometry question (picture included) - First post here :)
Hi all, first of all - my first post here. Nice to meet you all. I'm active on mymathforum if you guys post there from tim... | 4 | [
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the encyclopedic entry of eulers phi-function
In
mathematics
, the
Bell series
is a
formal power series
used to study properties of arithmetical functions. Bell series were introduced and developed by
Eric Temple Bell
.
Given an arithmetic function $f$ and a prime $p$, define the formal power series $f_p\left(... | 4 | [
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Related Rates Problems (two)
November 2nd 2008, 08:51 AM
bakeit1
Related Rates Problems (two)
Alright, I will need some assistance for two problems that I face. Thanks in advance.
A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.
... | 5 | [
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pre-calculus urgent help with functions
September 19th 2008, 12:16 AM #1
Newbie
Joined
Sep 2008
Posts
1
pre-calculus urgent help with functions
A rectangle is created with two left hand vertices on the y-axis. One of the other vertices is on the line y=10-x and the other is on the line y=2x-5. Assuming t... | 4 | [
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[SOLVED] Is this double derivative correct?
February 20th 2009, 02:37 PM #1
Newbie
Joined
Oct 2008
Posts
16
[SOLVED] Is this double derivative correct?
Given:
$<br /> f(x) = \frac{x^2}{x^2 + 4}<br />$
Using the quotient rule, I found that:
$<br /> f'(x) = \frac{8x}{(x^2 + 4)^2}<br />$
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[Pre-calculus][Functions] Stuck here, can't seem to figure it out. I don't think I've been taught what I need to know to do this. • /r/learnmath
[Pre-calculus][Functions] Stuck here, can't seem to figure it out. I don't think I've been taught what I need to know to do this. (self.learnmath)
submitted by fungah
sor... | 4 | [
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