content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Help with proof set A= set B
October 10th 2012, 12:22 PM
Ben91
Help with proof set A= set B
So here's the question(Crying) :
Let
A = {n ∈ N : the last digit of 2^n is 8},
B = {n ∈ N : n+1 is divisible by 4}.
Show that A = B.
Now i understand what this question is saying and i understand ... | 5 | [
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Number theory Question 2
January 14th 2009, 02:38 AM #1
Member
Joined
Aug 2008
Posts
97
Number theory Question 2
Show that if p is not a Fermat prime, then there is a such that
$<br /> <br /> \left(\frac {a}{p}\right)=-1<br />$
and [a]_p is not a generator of $(\mathbb Z/p)^*$.
Here $<br />... | 5 | [
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-... | 28,401 | 28401 | |
euler phi-function
March 29th 2009, 11:00 AM #1
Junior Member
Joined
Feb 2009
Posts
29
euler phi-function
Hi,
I need help with this proof:
Prove that there are no integers n for which phi(n) = n/4
Appreciate any assistance
I did that but I'm still stuck. Any ideas on how I should proc... | 4 | [
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... | 28,402 | 28402 | |
definite integral #3
Starting with integration by parts (twice), we have: \displaystyle \begin{aligned} \int_{0}^{1}\left(\tan^{-1}(x)\right)^2\;{dx} &= x(\tan^{-1}{x})^2\bigg|_{ 0}^{1}-\int_{0}^{1} \frac{2x\tan^{-1}{x}}
{1+x^2}\;{dx} \\& = \frac{\pi^2}{16}- \int_{0}^{1} \left[\ln(x^2+1)\right]'\tan^{-1}{x}\;{dx} \\&= ... | 5 | [
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bijection of e^x * ln x
January 20th 2010, 11:50 AM #1
Newbie
Joined
Jan 2010
Posts
21
bijection of e^x * ln x
Hey people.
I need to prove that f(x)=e^x * ln x gets every value in R exactly once. I managed to prove that f(x) gets every value in R , i.e. , for each y in R there is x in (0,inf) such as... | 4 | [
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0.02062988... | 28,404 | 28404 | |
More questions:)
January 11th 2008, 07:58 PM
chaneliman
More questions:)
1. How would u go about finding the inverse of the following funcions:
(i can do the regular ones)
a. f:R\{1} ~ R, f(x)= x+1/x-1
b. f:R\{2/3}~R, f(x)= 2x+3/3x-2
2. Let f:S~R be given by f(x)=x-3/2x-1 where S=R\{1/2}
a.... | 5 | [
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Integral of (x-7)(3-2x)^(3/2)
October 25th 2009, 01:08 PM
emonimous
Integral of (x-7)(3-2x)^(3/2)
Hey guys, I have this problem I have been trying to solve for the longest time.
Not looking for a complete solution, maybe part of one would be nice.
I'm trying to integrate $\int(x-7)\sqrt{3-2x}^3$
So... | 5 | [
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All-Optical Fiber Interferometer-Based Methods for Ultra-Wideband Signal Generation
Journal of Electrical and Computer Engineering
Volume 2012 (2012), Article ID 314872, 6 pages
http://dx.doi.org/10.1155/2012/314872
Research Article
All-Optical Fiber Interferometer-Based Methods for Ultra-Wideband Signal Generation
... | 4 | [
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... | 28,407 | 28407 | |
Homework Help
Posted by Esther on Friday, February 4, 2011 at 12:34am.
The Everton college store paid 1519 for an order of 41 calculators. The store paid 9 for each scientific calculator. The other, all graphic calculators cost the store 55 each. How many of each type
of calculators was ordered?. Thank you
• Algebr... | 4 | [
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normal Sylow subgroups
November 10th 2008, 12:20 PM #1
Member
Joined
Sep 2008
Posts
166
normal Sylow subgroups
Let G be a finite group with $|G|=pqr$, where $p, q, r$ are primes with $p<q<r$. Prove that G has a normal Sylow subgroup for either p, q, or r.
suppose to the contrary that neither of Sylo... | 5 | [
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Recursive formula for Negative Binomial(?) random variable
July 21st 2009, 02:49 PM #1
Junior Member
Joined
Jul 2009
Posts
25
Recursive formula for Negative Binomial(?) random variable
I am struggling with this homework problem any help would be greatly appreciated.
Let X denote the random variable... | 5 | [
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Differential Equation
May 14th 2008, 06:21 AM #1
Junior Member
Joined
May 2008
Posts
50
Differential Equation
Hi everybody,
Can anybody please help me solve the following differential equation:
d^2y/dx^2 + 3(dy/dx) +5y = 0, y(0) = 2, dy/dx(0) = 0
Even a a simple guide to solving this woul... | 4 | [
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Calculus AP need help!
Posted by cynthia on Tuesday, February 28, 2012 at 1:57am.
1. f(x)=√5x+6, find f'(x)
2. f(x)=√4x^2+3x+4, find f'(x).
i got stuck.
f(x)=√5x+6=(5x+6)^1/2
f'(x)= 1/2(5x+6)^-3/2*(5).
• Calculus AP need help! - Steve, Tuesday, February 28, 2012 at 11:09am
Almost. How did you get from ^1/2... | 4 | [
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0.02868652343... | 28,412 | 28412 | |
the encyclopedic entry of Perfect totient number
In
number theory
, a
perfect totient number
is an
integer
that is equal to the sum of its iterated
totients
. That is, we apply the
totient function
to a number
n
, apply it again to the resulting totient, and so on, until the number 1 is reached, and add tog... | 4 | [
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0.020874023... | 28,413 | 28413 | |
Simple Exact Algorithm for Transistor Sizing of Low-Power High-Speed Arithmetic Circuits
VLSI Design
Volume 2010 (2010), Article ID 264390, 17 pages
http://dx.doi.org/10.1155/2010/264390
Research Article
Simple Exact Algorithm for Transistor Sizing of Low-Power High-Speed Arithmetic Circuits
^1Faculty of Electrical ... | 4 | [
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... | 28,414 | 28414 | |
Third degree ploynomial question : 2
February 28th 2009, 11:03 AM
champrock
Third degree ploynomial question : 2
if a,b,c are the roots of the equation: x^3 + 2x^2 + 3x + 3 = 0 then the value of
[a/(a+1)]^3 + [b/(b+1)]^3 + [c/(c+1)]^3 is?
----------
I know that this equation has one real root and t... | 5 | [
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-0.... | 28,415 | 28415 | |
[SOLVED] stuck on area/integrals
can someone help me i know i m doing something wrong.. where did i start to go wrong?
Enclosed area $= \int\limits_0^1 {\sqrt x } ~dx + \int\limits_1^3 {\sqrt {\frac{{3 - x}}{2}} } ~dx \hfill \\$ Now, $\int\limits_0^1 {\sqrt x } ~dx = \left[ {\frac{2}<br /> {3}x^{\frac{3}<br /> {2}} }
... | 5 | [
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... | 28,416 | 28416 | |
the encyclopedic entry of subset's
In
differential geometry
,
Hilbert's theorem
(1901) states that there exists no complete regular surface
$S$
of constant negative
Gaussian curvature $K$
immersed in
$mathbb\left\{R\right\}^\left\{3\right\}$
. This theorem answers the question for the negative case of which s... | 4 | [
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-0.01538085... | 28,417 | 28417 | |
Complex fractions
July 17th 2008, 06:41 AM #1
Newbie
Joined
May 2008
From
New York
Posts
19
Complex fractions
Can someone please help me with these math problems and explain them? I don't know what to do.
2x-18
divided by
x squared - 16
w squared + 5w
divided by w squared - 25... | 4 | [
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0.10205078125,
-0.031982421875,
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0.0341796875,
-0.087402... | 28,418 | 28418 | |
Concrete Mix Design
Concrete is made from different proportions of cement, fine aggregate (sand), coarse aggregate, and water. Cement usually comes in 94 lb sacks, water is measured by gallons (volume), and coarse and
fine aggregate by weight. These are all over the place.
There are two main methods of measuring con... | 4 | [
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... | 28,419 | 28419 | |
-Derivations of BCI-Algebras
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 872784, 12 pages
http://dx.doi.org/10.1155/2012/872784
Research Article
On -Derivations of BCI-Algebras
Department of Mathematics, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia
Received 29 January 2012; Revised ... | 5 | [
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A Note on Some Best Proximity Point Theorems Proved under
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 189567, 3 pages
http://dx.doi.org/10.1155/2013/189567
Research Article
A Note on Some Best Proximity Point Theorems Proved under P-Property
^1Department of Mathematics, Imam Khomeini International ... | 5 | [
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0.08642578125,
-0.08056640625,
... | 28,421 | 28421 | |
Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent
Journal of Function Spaces
Volume 2014 (2014), Article ID 417341, 8 pages
http://dx.doi.org/10.1155/2014/417341
Research Article
Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent
Department of Mathem... | 5 | [
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0.00089263916015625,
0.03857421875,
-0... | 28,422 | 28422 | |
primitive root
March 8th 2010, 07:58 AM #1
Banned
Joined
Mar 2010
From
India
Posts
10
primitive root
For which prime p does the congruence (x^2 + 4x + 5) mod p =0 have
a solution? some hint about this.
1) if p = 2 then $x^2+4x+5=x^2+1=(x+1)^2\!\!\!\pmod 2$ and we have a double root;
... | 5 | [
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0.06494140625,
-0.044189453125,
-0.0546875,
-0.0206298828125,
-0.02905... | 28,423 | 28423 | |
Greatest common divisor proofs
March 14th 2009, 11:30 PM #1
Newbie
Joined
Mar 2009
Posts
8
Here are some GCD questions I am struggling with:
1. Prove that, for a,n positive integers:
(a) n is divisible by gcd(a,a+n). (hint use the division identity M=aq+r)
(b) Hence show that GCD(a,a+1)=1
... | 5 | [
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0.00119781494140625,
0.0478515625,
0.0302734375,
-0.0108642578125,
-0.0027770... | 28,424 | 28424 | |
trig help
November 27th 2008, 02:07 PM #1
Newbie
Joined
Nov 2008
Posts
6
trig help
This is what the problem says:
solve the equation for solutions in the interval [0,2pi]
showing all steps would be appreciated.
2sin²(x) - cos(x) - 1 = 0
Last edited by ThePerfectHacker; November 30th 2... | 4 | [
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0.006805419921875,
-0.055419921875,
0.027709960937... | 28,425 | 28425 | |
Weighted-Average Cost of Capital (WACC)
The rate used to discount future unlevered free cash flows (UFCFs) and the terminal value (TV) to their present values should reflect the blended after-tax returns expected by the various providers
of capital. The discount rate is a weighted-average of the returns expected by the... | 4 | [
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0.0498046875,
0.14453125,
0.10693359375,
-0.00185394287109375,
-0.048583984375,
0.00439453125,
-0.00159454345703125,
-0.0247802734375,
-0.0267333984375,
0.0247802734375,... | 28,426 | 28426 | |
Argument Property for Certain Analytic Functions
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 391038, 8 pages
http://dx.doi.org/10.1155/2012/391038
Research Article
Argument Property for Certain Analytic Functions
Department of Mathematics, Yangzhou University, Yangzhou 225002, China
Received 18 Sep... | 5 | [
-0.1240234375,
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give an equation for the plane that is parallel to the plane....
December 5th 2010, 04:08 PM #1
Junior Member
Joined
Oct 2009
Posts
72
give an equation for the plane that is parallel to the plane....
give an equation for the plane that is parallel to the plane 5x-4y+z=1 and that passes through the point ... | 4 | [
-0.08984375,
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Right Angle Relationships
February 12th 2011, 04:58 PM #1
Right Angle Relationships
Hello, I am stuck on how to solve this problem:
Write each expression as an algebraic (nontrigonometric) function expression in u, $u>0$
$\sin(2\sec^{-1} \frac{u}{12})$
Hello, ~berserk!
Write the expression as a... | 4 | [
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-0.037353515... | 28,429 | 28429 | |
Substitution for diff. eq.
May 17th 2010, 11:46 AM #1
Newbie
Joined
Apr 2010
Posts
11
Substitution for diff. eq.
Hi
Having a bit of trouble with what the substition would be to solve this diff. Any ideas? Thanks.
dy/dx = (xy)/(x^2 - y^2)
divide the right hand side by x^2
$\frac{dy}{dx... | 5 | [
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0.04296875,
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the encyclopedic entry of Triangle_inequality
In
mathematics
, the
triangle inequality
states that for any
triangle
, the length of a given side must be less than or equal to the sum of the other two sides but greater than or equal to the difference between the two sides.
In Euclidean geometry and some other geo... | 5 | [
-0.06591796875,
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... | 28,431 | 28431 | |
Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 615230, 14 pages
http://dx.doi.org/10.1155/2012/615230
Research Article
Existence and Uniqueness of Solutions for Initial Value Problem of Nonline... | 5 | [
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Is an answer possible with the given information?
September 15th 2009, 10:59 AM #1
Newbie
Joined
Sep 2009
Posts
1
Is an answer possible with the given information?
P(A U B) = .7 P(A U compliment of B) = .9
Find P(A)
I've racked my brain and cannot come up with an answer.
This is all I've ... | 4 | [
-0.03564453125,
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0.0263671875,
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0.04833984375,
0.006011962890625,
0.07373046875,
0.058837890625,
-0.042724609375,
-0.... | 28,433 | 28433 | |
iffusion
Δt/h^2 framerate:fps
Diffusion on 512×512 square. Implicit scheme and relaxation algorithm.
Diffusion equation
For the diffusion equation
∂[t ]u = Δu , u|[t=0] = exp(-(r - r[o ])^2/ a^2),
the finite-difference scheme on square grid with the space step h and time step dt is
u[x,y]^t+1 = u[x,y]^t + {[u[x+1,y]... | 4 | [
0.028076171875,
0.0262451171875,
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0.0130615234375,
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-0.045654296875,
-0.05... | 28,434 | 28434 | |
Physics Forums - View Single Post - Perturbation Theory - Shift of Ground State
Perturbation Theory - Shift of Ground State
I can guarantee that there's a section on time-independent perturbation theory in your textbook. You want to rewrite your Hamiltonian in the form
[tex]\hat{H} = \hat{H}_0 + \lambda \hat{H}^{(1)... | 4 | [
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0.... | 28,435 | 28435 | |
Include uncertainty in a financial model
April 1, 2014
By simonraper
Here’s a post that appears on my new website, ragscripts.com. On-line resources for analysts are often either too general to be of practical use or too specialised to be accessible. The aim of
ragscripts.com is to remedy this by providing start to ... | 5 | [
-0.037841796875,
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... | 28,436 | 28436 | |
Empirical Bayes
October 20th 2010, 10:35 AM #1
Member
Joined
Mar 2010
Posts
98
Empirical Bayes
So, I'm taking an inference course. Working through some (optional) homework, the theme of the current problems seems to be (1) find a Bayes estimator of theta and then (2) show that "blah" is an
empirical ... | 5 | [
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0.0869140625,
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0.0079345703125,
0... | 28,437 | 28437 | |
Appendix A
This appendix contains outline proofs and derivations for the theorems and formulas given in early part of Chapter: The Scaling Function and Scaling Coefficients, Wavelet and Wavelet Coefficients .
They are not intended to be complete or formal, but they should be sufficient to understand the ideas behind wh... | 5 | [
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0.057373046875... | 28,438 | 28438 | |
fourier series/ trig calculus problem help
September 21st 2013, 10:54 PM
action44
fourier series/ trig calculus problem help
1) In deriving the coefficient of Fourier series (i.e., the related Euler equations), we take advantage of the orthogonality of the trigonometric system which indicated, among other thing... | 5 | [
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0.0224609375... | 28,439 | 28439 | |
Find the equation of the exponential function, am I doing it wrong?
December 4th 2012, 02:55 PM #1
Junior Member
Joined
Oct 2012
From
Oregon
Posts
33
Find the equation of the exponential function, am I doing it wrong?
If I'm doing it wrong, where am I doing it wrong?
Here is my work
f(3) = ... | 4 | [
-0.01116943359375,
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0.040771484375,
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[SOLVED] Convertence
November 3rd 2007, 07:01 PM #1
Member
Joined
Nov 2006
From
Florida
Posts
228
[SOLVED] Convertence
Let $a_n$ be a sequence of real numbers such that $|a_{n+1}-a_n|<\frac{1}{2^n}$ for $n=1,2,\dots$ prove that the sequence converges.
My first thought was to show that $a_n$ was ... | 5 | [
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0.060546875,
-0.01287... | 28,441 | 28441 | |
Write a recurrence relation
August 31st 2009, 07:32 AM #1
Junior Member
Joined
Aug 2009
Posts
28
There are 2n points marked on a circle. We want to divide them into pairs and connect the points in each pair by a segment (chord) such that these segments do not intersect.
Let $Q_{n}$ be the number of w... | 5 | [
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0.07177734375,
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-0.125,
0.06... | 28,442 | 28442 | |
Ch A Page 255: Sustainable Energy - without the hot air | David MacKay
• The tube of air created in a time t has a volume Avt, where A is
the cross-sectional area of the tube, which is similar to the area of
the front view of the car. (For a streamlined car, A is usually a little
smaller than the frontal ... | 4 | [
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0.0145263671875,
0... | 28,443 | 28443 | |
A Novel Weighted Support Vector Machine Based on Particle Swarm Optimization for Gene Selection and Tumor Classification
Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 320698, 7 pages
http://dx.doi.org/10.1155/2012/320698
Research Article
A Novel Weighted Support Vector Machine Base... | 4 | [
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IntroductionSAR Signal ModelingTwo Dimensional Overlapped Subaperture Polar format Algorithm (PFOSA) [9]Stepped-Chirp based PFOSA (SCPFOSA)Simulation ResultsConclusionReferencesFigures
Sensors Sensors 1424-8220 Molecular Diversity Preservation International (MDPI) 10.3390/s8053438 sensors-08-03438 Article A Two Dimensi... | 4 | [
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0.0132446... | 28,445 | 28445 | |
D.e mixing problem
April 27th 2010, 08:51 AM #1
Newbie
Joined
Apr 2010
Posts
1
D.e mixing problem
300 gallon tank contains 100 gallons of brine with a concentration of 1 pound of salt per gallon.a brine containing one half point of salt per gallon runs into the tank at rate of four gallons
per minute... | 4 | [
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-0.003... | 28,446 | 28446 | |
Negative Index & Binomial Theorem
August 4th 2008, 03:39 PM #1
Newbie
Joined
Jul 2008
Posts
2
Negative Index & Binomial Theorem
hey everyone, I'm teaching myself calculus, because I felt it would be useful, even if I'm not going to use it in accounting. I am learning about the binomial theorem and differ... | 5 | [
-0.0027008056640625,
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the encyclopedic entry of division-algorithm
The
division algorithm
is a
theorem
in
mathematics
which precisely expresses the outcome of the usual process of
division
of
integers
. The name is something of a
misnomer
, as it is a
theorem
, not an
algorithm
, i.e. a well-defined procedure for achieving a... | 5 | [
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0.068359375,... | 28,448 | 28448 | |
nth derivative formula
April 27th 2009, 03:29 PM #1
Member
Joined
Feb 2009
Posts
106
nth derivative formula
find an explicit formula for the $nth$ derivative of $1/x$
so, i know $f^{0}(x)=1/x$
$f^{1}(x)=-1/x^2$
$f^{2}(x)= 2/x^3$
$f^{3}(x)=-6/x^4$
i'm not sure i see the pattern..
... | 5 | [
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-0.03515625,
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0.027587890625,
0.03955078125,
0.0068... | 28,449 | 28449 | |
problem of Integral proof
You have to take into account that for $|x|<1$ is... $\frac{x^{4}\cdot (1-x)^{4}}{1-x^{2}}= (1-x)^{4}\cdot (x^{4} + x^{6} + x^{8} + \dots)$ Kind regards $\chi$$\sigma$
It seems that you're not expected to use a) to evaluate the integral. The simplest way anyway is probably to expand the numer... | 5 | [
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0.0152587890625,
-0.0... | 28,450 | 28450 | |
Radian Question.
January 13th 2011, 02:02 PM #1
Newbie
Joined
Sep 2010
Posts
8
Radian Question.
Just got done reading the chapter... Want to make sure I have this right....
IF Circumference = 2(pi)r
Let cir = 360 deg.
So that 360 deg = 2(pi)r
And 180 deg = (pi)r
IF r = 10
then ... | 4 | [
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... | 28,451 | 28451 | |
Simple linear regression
August 5, 2009
By Todos Logos
We use the
regression analysis
when, from the data sample, we want to derive a statistical model that predicts the values of a variable (Y,
dependent
) from the values of another variable (X,
independent
). The
linear regression
, which is the simplest a... | 5 | [
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... | 28,452 | 28452 | |
Profit & Loss
August 17th 2008, 10:20 PM #1
Junior Member
Joined
Aug 2008
From
India
Posts
44
Profit & Loss
A man sells 5 eggs for 10 rupees and gains 20% profit.How much eggs did he buy for Rs.10?
Yes,this is the quetion as a whole.Thank You.
Last edited by devi; August 17th 2008 at 11:52 P... | 4 | [
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0.01470947265625,
-0.0458... | 28,453 | 28453 | |
Lebesgue Integral
August 21st 2009, 06:34 AM #1
Member
Joined
Aug 2009
Posts
78
Lebesgue Integral
If f is measurable function such that $\int_B f =0$ for all measurable sets $B \subset A$ ,show that f =0 almost everywhere on $A$.
For n=1,2,3,..., let $B_n = \{x\in A:f(x)\geqslant1/n\}$. Then $B_n$ i... | 5 | [
0.034912109375,
0.0087890625,
0.0257568359375,
-0.042724609375,
0.0791015625,
0.07275390625,
0.07421875,
0.0458984375,
-0.0419921875,
-0.01458740234375,
-0.062255859375,
-0.10302734375,
0.002105712890625,
-0.004974365234375,
-0.02783203125,
0.025634765625,
0.059326171875,
0.0422363... | 28,454 | 28454 | |
Girard's Theorem
Girard's Theorem:
On a Sphere,   Area(Triangle) = Radius^2 x AngleExcess
Make Translucent
NOTE: Drag mouse to rotate model. Hold shift key or use mouse wheel to zoom it.
Proof
Consider the white triangle \(\sf T \) on the sphere shown above. Girard's Theorem gives a formula for the area of \... | 4 | [
-0.025634765625,
0.00885009765625,
0.08251953125,
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0.0079345703125,
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0.05322265625,
0.0283203125,
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0.0439453125,
0.0849609375,
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0.01708984375,
-0.02099609375,
-0.0068359375,
-0.02783203125... | 28,455 | 28455 | |
First order ODEs
Greetings, I have a few differential equation questions and I began to take this course at the beginning of this semester so I might have been doing obvious mistakes.These questions are from
Ross, Differential Equations 1st edition chapter 2.2.
3. $2r(s^2+1)dr+(r^4+1)ds=0$
14. $(\sqrt(x... | 4 | [
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0.044677734375,
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-0.09716796875,
-0.04418... | 28,456 | 28456 | |
Find the necessary conditions for these two second degree equations to both be true • /r/CasualMath
Find the necessary conditions for these two second degree equations to both be true (self.CasualMath)
submitted by A_Monocle_For_Sauron
sorry, this has been archived and can no longer be voted on
The two equations are... | 4 | [
-0.0712890625,
0.09716796875,
-0.06689453125,
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0.01361083984375,
0.0255126953125,
0.0198974609375,
-0.09912109375,
0.0286865234375,
0.03662109375,
-0.0201416015625,
0.0703125,
0.06640625,
0.00787353515625,
0.0458984375,
-0.054443359375,
0.0181884... | 28,457 | 28457 | |
Find the exact value of s in the given interval that has the given function value
February 25th 2013, 09:02 PM #1
Junior Member
Joined
Feb 2013
From
San Diego
Posts
37
Thanks
3
Find the exact value of s in the given interval that has the given function value
a) [pi, 3pi/2 ] ; sin(s) = -(sqrt of 2... | 4 | [
-0.050537109375,
-0.0028228759765625,
-0.083984375,
-0.030029296875,
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0.0810546875,
0.07958984375,
0.005859375,
0.036865234375,
-0.072265625,
0.08447265625,
0.0140380859375,
0.048095703125,
-0.0301513671875,
0.0064697265625,
-0.049804... | 28,458 | 28458 | |
Effect of large cardinals on the value of $\omega_1^L$ in $L$
up vote 7 down vote favorite
I have three three questions, the first two of which probably have the same answer and the third of which is more vague.
For a set $A$ let $L_\alpha(A)$ be the constructible universe up to $\alpha$, built from $A$ as a set (and... | 5 | [
0.07080078125,
-0.0625,
0.016845703125,
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0.11962890625,
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0.018310546875,
-0.00689697265625,
-0.037109375,
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-0.038818359375,
-0.00152587890625,
-0.038330078125,
0.07275390625,
0.059326171875,
-0.00836181640625,
-0.05175781... | 28,459 | 28459 | |
matrix orthogonal
May 9th 2008, 01:53 AM #1
Junior Member
Joined
Apr 2008
Posts
72
matrix orthogonal
This is probably easier than I think it looks but..im stumped...
Here goes
A is an n x n orthoganal matrix...show that a^t(transpose of a) is also orthoganal
Thanks in advance
It follow... | 4 | [
-0.06640625,
0.003173828125,
0.007598876953125,
-0.01806640625,
-0.0203857421875,
0.004180908203125,
-0.00347900390625,
-0.05615234375,
-0.00151824951171875,
0.0245361328125,
0.060546875,
0.14453125,
-0.01312255859375,
-0.000743865966796875,
-0.07373046875,
0.08203125,
-0.00415039062... | 28,460 | 28460 | |
The Hundred Penny Box
Description: After reading The Hundred Penny Box, students compare how people save money in financial institutions. Students analyze the advantages of regular saving and how savings grow with
compounding.
Personal Finance Concepts: Saving, savings, interest, interest rate, compounding
Related Su... | 4 | [
0.09375,
0.1181640625,
-0.01300048828125,
-0.0262451171875,
-0.00653076171875,
0.0010986328125,
-0.01385498046875,
0.049560546875,
-0.047119140625,
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-0.01177978515625,
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-0.023681640625,
-0.005401611328125,
-0.0147705078125,
-0.044677734375,
0.00106048... | 28,461 | 28461 | |
Motorcycle and Walking Rates and Times
June 16th 2011, 11:16 AM #16
MHF Contributor
Re: Motorcycle and Walking Rates and Times
Last edited by Ackbeet; June 16th 2011 at 06:27 PM. Reason: Split out Wilmer's comments.
Re: Motorcycle and Walking Rates and Times
see the example in #9. there you must carry B ba... | 5 | [
0.0145263671875,
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0.002... | 28,462 | 28462 | |
modular arithmetic
October 8th 2011, 05:30 AM
Duke
modular arithmetic
What are the solutions to x^2+1=0 in Z_3, Z_2 and C. Is the answer as simple as: no solutions in Z_3 and Z_2 and x=i,-i in C?
October 8th 2011, 05:45 AM
Deveno
Re: modular arithmetic
short answer: no.
slightly longer answer: x^2+1... | 4 | [
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-0.0224609375,
0... | 28,463 | 28463 | |
logs again
simplify log(base4/9)(27/16) without a calculator i've tried everything i could think of without a calculator, so here i am.
$\frac{27}{16} = \frac{3}{4}\cdot\frac{9}{4}$ $= \frac{3}{4}\left(\frac{4}{9}\right)^{-1}$. So $\log_{\frac{4}{9}}\frac{27}{16} = \log_{\frac{4}{9}}\left[\frac{3}{4}\left(\frac{4}{9}\... | 5 | [
0.08740234375,
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-0.04443359375,
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0.052978515625,
0.036376953125,
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0.07421875,
-0.07080078125,
0.0903320... | 28,464 | 28464 | |
Hard question
February 9th 2010, 10:33 PM #1
Senior Member
Joined
Jul 2009
From
Singapore
Posts
338
Hard question
A region of the xy plane is defined by the inequalities
$0\leq y\leq \sin x$, $0\leq x\leq \pi$
Find:
(a) the area of the region
(b) The first moment of area about the x-... | 5 | [
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0.064453125,
0.025390625,
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0.015625,
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0.009765625,
0.045166015625,
-0.01434326171875,
-0.06689453125,
... | 28,465 | 28465 | |
area bounded by curves
October 21st 2009, 03:45 AM
zerocool18
area bounded by curves
hello , ive been stuck on this problem all night now. my heads starting to hurt lol. anyway im supposed to determine the area of the region by the graphs of the equations y=sin^2(pix) , y=0 , x=0
, x=1.
heres a link to ... | 5 | [
-0.0155029296875,
-0.0133056640625,
0.040283203125,
0.04931640625,
-0.04931640625,
-0.038818359375,
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0.037841796875,
-0.01043701171875,
0.00823974609375,
0.047119140625,
0.01397705078125,
0.0419921875,
0.0869140625,
0.003692626953125,
-0.0035552978515625,
0.00120544433... | 28,466 | 28466 | |
TRIG QUESTION :) ( yes another )
October 25th 2007, 07:47 PM #1
Newbie
Joined
Oct 2007
Posts
20
TRIG QUESTION :) ( yes another )
Determine θ in decimal degrees, 0° ≤ θ ≤ 90°. Round results to an appropriate number of significant digits.
sec θ = 1.5
answer = 48 degrees
how do i get to this ... | 4 | [
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0.06591796875,
-0.052978515625,
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-0.050048828125,
-0.07861328125,
-0.... | 28,467 | 28467 | |
heat equation problem
October 11th 2011, 03:29 AM #1
Newbie
Joined
Jan 2011
Posts
24
heat equation problem
Hi!
I've got the following problem:
$f:\mathbb{R}\rightarrow\mathbb{R}$ a $C^2$-function such that $f$ is convex and $f(0)=f'(0)=0$. $g\in C^{\infty}([0,\infty),\mathscr{S}(\mathbb{R}^d))$... | 5 | [
-0.08642578125,
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0.03173828125,
... | 28,468 | 28468 | |
critical number?
determine the value of a for which the function f has no critical number: f(x)= (a2+a-6)cos2x+(a-2)x+cos1
What do you find when you equate the derivative to zero? Is the last term actually cos(1)?
yes the last term is actually cos(1) and how do you take the derivative and set it equal to zero? is a j... | 4 | [
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0.046875,
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0.01080322265625,
-0.043701171875,
-0.025146484375,
-0.040771484375,... | 28,469 | 28469 | |
Trigonometric Function
November 6th 2007, 10:24 PM #1
Newbie
Joined
Oct 2007
Posts
8
Trigonometric Function
Ok I'm asked to find the other Trig. Functions given one value.
Here's the question:
sec = -2 tan > 0
So sec = 1/x, so I get 1/(-1/2) = -2.
If I'm understanding it correctly, x = ... | 4 | [
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0.040771484375,
-0.0888671875,
0.008... | 28,470 | 28470 | |
Simple expression manipulation.
March 8th 2009, 04:58 AM #1
Senior Member
Joined
Jul 2006
Posts
364
Simple expression manipulation.
I'm only concerned about the expressions highlighted in red.
How did they get from the first to the second? I would have expected something like, $2 (\vec{u} \cdot \v... | 4 | [
0.01434326171875,
-0.03369140625,
-0.03515625,
-0.0751953125,
0.03466796875,
0.0245361328125,
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-0.035888671875,
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0.0179443359375,
-0.000370025634765625,
0.0302734375,
0.0712890625,
0.0654296875,
-0.003662109375,
0.08349609375,
0.040771484375,
-0.005371093... | 28,471 | 28471 | |
A Unique Common Triple Fixed Point Theorem for Hybrid Pair of Maps
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 750403, 9 pages
http://dx.doi.org/10.1155/2012/750403
Research Article
A Unique Common Triple Fixed Point Theorem for Hybrid Pair of Maps
^1Department of Mathematics, Acharya Nagarjuna Uni... | 5 | [
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0.009033203125,
-0.00408935546875,
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-0.029541015625,
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-0.00909423828125,
0.048583984375,
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0.03173828125,
0.01007080078125,
0.057861328125,
0.002838134765625,
0.00897216796875,
-0.04345703125,
-0.048583984375,... | 28,472 | 28472 | |
Three-Dimensional Filamentation Analysis of SDSS DR5 Survey
ISRN Astronomy and Astrophysics
Volume 2012 (2012), Article ID 171829, 7 pages
http://dx.doi.org/10.5402/2012/171829
Research Article
Three-Dimensional Filamentation Analysis of SDSS DR5 Survey
^1Department of Astronomy, University of Science and Technology... | 4 | [
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0.0005950927734375,
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0.043212890625,
0.022216796875,
0.03955078125,
-0.12158203125,
... | 28,473 | 28473 | |
Integrals - ln, sqrts
April 20th 2010, 04:32 AM #1
Member
Joined
Jul 2009
Posts
168
Integrals - ln, sqrts
My English-Math language isn't too good, so I'll try to use math to explain:
$\int \sqrt{x} \ln{(1+\sqrt{x})} dx$
$t:=ln(1+\sqrt{x}) \Rightarrow dt=\frac{1}{2\sqrt{x}(1+\sqrt{x})} <br /> \R... | 5 | [
0.04736328125,
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0.0908203125,
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0.036376953125,
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0.047607421875,
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0.020263671875,
-0.0203857421875,
0.052001953... | 28,474 | 28474 | |
Mixed-Effects Tobit Joint Models for Longitudinal Data with Skewness, Detection Limits, and Measurement Errors
Journal of Probability and Statistics
Volume 2012 (2012), Article ID 614102, 19 pages
http://dx.doi.org/10.1155/2012/614102
Research Article
Mixed-Effects Tobit Joint Models for Longitudinal Data with Skewne... | 4 | [
0.01123046875,
-0.01104736328125,
0.078125,
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0.078125,
-0.020751953125,
-0.006439208984375,
0.01483154296875,
0.0016098022460937... | 28,475 | 28475 | |
Another Quadratic Equation
June 15th 2009, 07:08 AM #1
Junior Member
Joined
May 2009
Posts
68
Another Quadratic Equation
I buy a number of cheap calculators for a total of $240, mark each of them up by $2 and sell all but four of them for a total of $240. How many calculators did I buy?
Okay, so thi... | 4 | [
-0.0021514892578125,
-0.007720947265625,
0.0172119140625,
-0.0615234375,
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-0.0281982421875,
0.044921875,
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0.036376953125,
0.087890625,
-0.0272216796875,
-0.012084... | 28,476 | 28476 | |
open/closed/interior
May 6th 2009, 10:20 PM #1
Junior Member
Joined
Feb 2009
Posts
28
open/closed/interior
For the question above, I can only answer part a)
The set is not open or closed since it doesn't contain the neighborhood at 1 and int(S) = {(x,y) in R2 : x^2 + y^2 < 1} \ {(0,0)}. Is it ri... | 5 | [
0.05029296875,
0.005859375,
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-0.05810546875,
0.043701171875,
0.0030059814453125,
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0.00543212890625,
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-0.0126953125,
-0.044921875,
0.03515625,
-0.1650390625,
... | 28,477 | 28477 | |
Solving Exponential Functions
February 20th 2008, 12:11 PM #1
Newbie
Joined
Feb 2008
Posts
16
Solving Exponential Functions
I know several methods in finding the value o x, but i can't figure this one out:
5^(x+2) - 5^(x) = 24
So that says 5 to the power of x plus 2 minus 5 to the power of x eq... | 4 | [
-0.00002574920654296875,
-0.032470703125,
0.0693359375,
0.08056640625,
0.0257568359375,
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0.0191650390625,
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0.0072021484375,
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-0.02099609375,
0.0712890625,
0.042236328125,
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0.02294921875,
-0.05126953125,
... | 28,478 | 28478 | |
Parametric Curve and Travelling Object, help
July 3rd 2007, 10:58 PM #1
Newbie
Joined
Jun 2007
Posts
3
Parametric Curve and Travelling Object, help
Hi everyone, I received this problem in my Calculus 2 class today as a bonus problem and I don't know how to proceed on it:
---
A bead is sliding o... | 5 | [
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-0.044677734375,
-0.04052734375,
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0.004180908203125,
0.06982421875,
0.004547119140625,
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0.061279296875,
-0.0003986358642578125,
0.032958984375,
-0.052490234375,
0.061767578125,
-0.04931... | 28,479 | 28479 | |
Geometric Programming Approach to an Interactive Fuzzy Inventory Problem
Advances in Operations Research
Volume 2011 (2011), Article ID 521351, 17 pages
http://dx.doi.org/10.1155/2011/521351
Research Article
Geometric Programming Approach to an Interactive Fuzzy Inventory Problem
Department of Mathematics, Silda Cha... | 5 | [
0.00994873046875,
0.064453125,
-0.06884765625,
-0.0189208984375,
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0.1123046875,
0.043212890625,
-0.01007080078125,
0.05859375,
0.047607421875,
-0.13... | 28,480 | 28480 | |
The Chess960 Numbers Decoded
Convert to and from Chess960 numbers mathematically, without lookup tables
0 NNxxx Qxxxxx Bxxx Bxxx
1 NNxxx Qxxxxx Bxxx xBxx
2 NNxxx Qxxxxx Bxxx xxBx
3 NNxxx Qxxxxx Bxxx xxxB
4 NNxxx Qxxxxx xBxx Bxxx
5 NNxxx Qxxxxx xBxx xBxx
6 NNxxx Qxxxxx xBxx xxBx
7 NNxxx Qxxxxx xBxx xxxB... | 5 | [
0.0026092529296875,
0.00457763671875,
-0.1123046875,
-0.1171875,
-0.031494140625,
0.05078125,
-0.030517578125,
0.0732421875,
-0.057373046875,
-0.022705078125,
-0.0380859375,
0.015625,
0.00927734375,
-0.0218505859375,
-0.0830078125,
-0.053955078125,
-0.044921875,
0.10693359375,
-0... | 28,481 | 28481 | |
[SOLVED] Natural Log Limit
November 30th 2009, 06:24 AM #1
Member
Joined
Jul 2008
Posts
119
[SOLVED] Natural Log Limit
Evaluate
$\lim_{t\to-5} \ln(t+5)^2$
Since $\ln(0)^2$ is undefined, I used L'Hopital's Rule twice to get
$\lim_{t\to-5} \ln(t+5)^2 = \lim_{t\to-5}\frac{2 \ln(t+5)}{t+5} = \f... | 5 | [
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integral tables
December 12th 2009, 05:54 PM #1
Newbie
Joined
Dec 2009
Posts
3
integral tables
I need to integrate this integral from -infinity to infinity,
∫▒〖(x^3 e^x)/(e^x+1)^2 dx〗
The question says I can look it up in integral table but I cannot find tables with this type of integral in it.... | 5 | [
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-0.... | 28,483 | 28483 | |
Using a Reduction Formula
December 6th 2009, 01:51 PM #1
Super Member
Joined
Jun 2009
From
United States
Posts
676
Thanks
19
Using a Reduction Formula
I want to prove equation (1). Note that the equation (2) can be proven by the reduction formula for $\int sin^n(x)dx$, but I'll just write the for... | 5 | [
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Scheme implementation overview
PointSets and points over a ring: For algebraic schemes \(X/S\) and \(T/S\) over \(S\), one can form the point set \(X(T)\) of morphisms from \(T\to X\) over \(S\).
sage: PP.<X,Y,Z> = ProjectiveSpace(2, QQ)
sage: PP
Projective Space of dimension 2 over Rational Field
The first line is a... | 4 | [
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0.01025390625,
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Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 654978, 13 pages
http://dx.doi.org/10.1155/2014/654978
Research Article
Approximate Analytical ... | 5 | [
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Self intersection
Show that the following curve is not closed and that it has exactly one self- intersection γ(t)=(t²-1.t³-t)
Let $a,b$ be the times where the curve intersects with $a e b$then $x=a^2-1$ and $y=a^3-a$ and $x=b^2-1$ and $y=b^3-b$ Subtracting the x equations gives $0=a^2-b^2 \implies a=\pm b$ Since $ae b... | 5 | [
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-0.1... | 28,487 | 28487 | |
Question 5
November 6th 2006, 07:47 PM
CaptainBlack
Question 5
ImPerfectHacker has requested that I set a problem this week so here it is:
Problem of the Week 5
Given any four distinct points $A,\ B,\ C,\ O$, show that the three angles between the bisectors of $\angle AOB$, $\angle BOC$ and $\angle COA... | 5 | [
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Final Review Before Last Test
May 15th 2010, 07:29 AM
eradicator2010
Final Review Before Last Test
We are having our last test in Trig on Monday and he gave us a last minute review to do over the weekend. The problem is I missed lots of school (I had mono) and am behind. I got all the notes
but it makes no s... | 4 | [
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... | 28,489 | 28489 | |
algebra equation
December 9th 2008, 09:05 PM #1
Newbie
Joined
Dec 2008
Posts
1
algebra equation
Hello all, I'm currently in an online math course do not understand any of these review questions. We were pretty much just told to do these without any guidance, example, or review. I was
wondering if som... | 4 | [
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Help me to solve this equation with Solve command
GROUPS:
Hello, I'm trying to solve an equation as in attached image. However, Mathematica version 9 couldn't solve the equation and return with error message: "Solve::nsmet: This system cannot be
solved with the methods available to Solve"
dang The... | 4 | [
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Arresting Strategy Based on Dynamic Criminal Networks Changing over Time
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 296729, 9 pages
http://dx.doi.org/10.1155/2013/296729
Research Article
Arresting Strategy Based on Dynamic Criminal Networks Changing over Time
^1Department of Mathematics, ... | 4 | [
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... | 28,492 | 28492 | |
Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 364348, 11 pages
http://dx.doi.org/10.1155/2014/364348
Research Article
Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Co... | 5 | [
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Beat Phenomenon Analysis of Concrete Beam with Piezoelectric Sensors
International Journal of Distributed Sensor Networks
Volume 2012 (2012), Article ID 296124, 10 pages
http://dx.doi.org/10.1155/2012/296124
Research Article
Beat Phenomenon Analysis of Concrete Beam with Piezoelectric Sensors
Faculty of Infrastructu... | 5 | [
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Why is Fibonacci =< golden ration^n-1
September 9th 2009, 12:31 PM #1
Newbie
Joined
Sep 2009
Posts
23
Why is Fibonacci =< golden ration^n-1
How can it be proved by induction that the Fibonaaci series is always:
Fn <= ( (1 +sqrt 5)/2 )^(n−1).
F0 = 0, F1 = 1, Fn+2 = Fn+1 + Fn, for n = 0, 1, 2... | 4 | [
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Finding this limit using Algebra
August 30th 2009, 07:05 PM
usmelikchees
Finding this limit using Algebra
Lim .... .... x-2
x->-2 ....x^2-4
I got 4 using algebra, but I did the thing where you put -1.999 instead of -2 into the function and got 1/2, and I tried an online limit calculator and got infinity... | 5 | [
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circle geometry questions---please help!!
July 1st 2007, 09:18 PM #1
shosho
Guest
circle geometry questions---please help!!
i need some help with a question on circle geometry
any help would be great
POints A,B,C,D,E,F lie on teh circumference of a circle
Prove that <ABC+<CDE+<EFA=360
thanx
... | 4 | [
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Finding areas of sectors using radians
February 15th 2013, 03:20 AM
pturo1
Finding areas of sectors using radians
There is a question on the area of a sector of a circle on which I am stuck and was wondering whether anyone could give me a pointer.
I have attached an image of the diagram to which the questi... | 4 | [
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Homotopy Perturbation Method for Solving Reaction-Diffusion Equations
Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 795838, 5 pages
http://dx.doi.org/10.1155/2008/795838
Research Article
Homotopy Perturbation Method for Solving Reaction-Diffusion Equations
School of Information Engineering, Zhe... | 5 | [
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