content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
2*T_x + 1 is Triangular & 3*T_x + 1 is also Triangular
Raphie
I guess the next step would be to figure out a formula for 3*T_x + 1 is Triangular to see how it compares to the one for Sophie Germain Triangular Numbers.
Well, that turned out to be not too difficult to track down with a little research...
===========... | 4 | [
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Cluster Synchronization for Linearly Coupled Complex Networks with Identical and Nonidentical Nodes
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 534743, 17 pages
http://dx.doi.org/10.1155/2012/534743
Research Article
Cluster Synchronization for Linearly Coupled Complex Networks with Identical a... | 5 | [
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Optimization problem
December 13th 2012, 03:57 AM #1
Junior Member
Joined
Jul 2012
From
NY
Posts
40
Optimization problem
The cost of manufacturing x number of pencils is given by: C = x^2 + 3x + 13
If each pencil is sold for $5, maximize the profit.
I thought profit was equal to the total am... | 4 | [
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proving the sylow p-subgroups are abelian
September 13th 2012, 06:55 PM #1
Super Member
Joined
Mar 2010
Posts
980
Thanks
236
proving the sylow p-subgroups are abelian
Assume that $p$ is an odd prime and $G$ is a finite simple group with exactly $2p+1$ Sylow $p$-subgroups. Prove that the Sylow $p$-sub... | 5 | [
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Transformation raised to power
December 22nd 2011, 05:28 PM
jsndacruz
Transformation raised to power
This problem comes from our Final Review. It states:
Suppose V is a vector space over a field F, and T: V-->V is a linear map. Suppose also that, for a vector v in V, that T^(k+1) * v = 0 for some positive i... | 5 | [
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Patent US20020046013 - Automatic pipe gridding method allowing implementation or flow modelling codes
FIELD OF THE INVENTION
[0001] The present invention relates to an automatic pipe gridding method allowing implementation of codes for modelling fluids carried by these pipes.
[0002] The method according to the invent... | 4 | [
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Range of completely positive projection
up vote 10 down vote favorite
3
Let $A$ be a C*-algebra. Suppose that $P:A \rightarrow A$ is a contractive completely positive projection. Does the range $P(A)$ is completely order isomorphic to a $C^*$-algebra?
In the case where the answer is false: Is it true in supposing, in... | 5 | [
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Trig Substitution
January 25th 2010, 09:14 AM #1
Junior Member
Joined
Jul 2009
Posts
59
Trig Substitution
What did I do wrong?
$\int{\frac{dx}{x\sqrt{x^2+3}}}$
$\sin{\Theta}=\frac{\sqrt{3}}{\sqrt{x^2+3}}$
$\cos{\Theta}=\frac{x}{\sqrt{x^2+3}}$
$\tan{\Theta}=\frac{\sqrt{3}}{x}$
$=\... | 5 | [
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Patent US6573934 - Apparatus and method for digital correction of non-linearity using a piecewise linear approximation technique
BACKGROUND OF THE INVENTION
There are various types of non-linear systems employed in contemporary electronics. For example, picture display devices such as video cameras or television monit... | 4 | [
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simultaneous problem solving (2
July 7th 2008, 02:41 AM #1
simultaneous problem solving (2
hey need help here
1- a tent manufacturer produces two models, the Outback and the Bushwalker. From earlier sales records it is known that 20 per cent more of the Outback model is sold than the Bushwalker. A profit
... | 4 | [
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Why can't the well ordering of the reals be proven with Dedikind cuts without AC?
CRGreathouse
Would you expand on this? I don't see why it would be better to say it's some (the unique!) [tex]\aleph_\kappa[/tex] with [tex]\aleph_\kappa=\beth_1[/tex] rather than just biting the bullet and
saying it's [tex]\beth_1[/te... | 5 | [
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differential analysis
February 23rd 2009, 01:00 PM
James0502
differential analysis
Find an example of a differentiable function
f : R → R such that f'(0) = 1 > 0 but f is not monotonic increasing on any interval (0,delta).
Suppose that
f : R → R has derivatives of all orders. Prove that the same
... | 5 | [
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Orthonormal sequences in L^2 and almost everywhere convergence
August 14th 2010, 04:43 PM
helopticor
Orthonormal sequences in L^2 and almost everywhere convergence
I have an analysis question that's bugging me. In an old qualifying exam, there was the following question:
Let $f_j$ be an orthonormal sequence... | 5 | [
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Hamiltonian graph
P: 36 Suppose G is a HC (Hamiltonian-connected) graph on n >= 4 vertices. Show that connectivity of G is 3.
I tried starting by saying that there would be at least 4C2=6 unique hamiltonian paths. But then I'm not sure where to go from here.
A... | 4 | [
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Big trigonometric substitution problem.
February 19th 2011, 04:35 PM #1
Member
Joined
Aug 2009
Posts
101
Big trigonometric substitution problem.
Okay, it's the last problem I have to do in the section and it stumped me.
It's the integral of ((4-x)/x)^(1/2)dx
The book says to let x=u^2.
The... | 5 | [
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Representation Theory - Ch18 - Dummit and Foote - FG-Modules and Representations
March 12th 2012, 04:12 AM #1
Representation Theory - Ch18 - Dummit and Foote - FG-Modules and Representations
I am seeking to understand Dummit and Foote's chapter on Representation Theory and Character Theory (see pages 840-843 atta... | 5 | [
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GMAT Number Theory
• GMAT Prep (USA)
•
• GMAT Prep (International)
•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
□ GMAT Course Comparision
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• Free GMAT Prep
□ Free GMAT CAT test
... | 4 | [
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(in)coherent superposition and quantum erasure
Hi
I am currently reading John Preskill's Lecture Notes on Quantum Information and Quantum Computation (see
http://www.theory.caltech.edu/people...229/index.html
near the bottom of the page). I am confused about what he writes in chapter 2.5.4: Quantum erasure.
He star... | 4 | [
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Patent US4125900 - Cascaded recursive digital filter
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to cascaded filters, and more particularly, to cascaded recursive digital filters.
2. Description of the Prior Art
A cascaded recursive digital filter is a device which may be used to fi... | 4 | [
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Coupled differential equations
September 18th 2008, 12:52 PM #1
Coupled differential equations
I really need help solving these coupled differential equations
$\frac{dZ}{dt} = -aZ$
$\frac{dY}{dt} = cZ - gY$
where a = b+c+g and a,b,c,g are all constants.
The initial conditions are
$Z(0) = ... | 5 | [
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Simplifying a long polynomial
May 19th 2011, 12:58 PM #1
Member
Joined
Jan 2011
Posts
75
Simplifying a long polynomial
This stems from a calculus problem, and I have no trouble with the calculus I only am having trouble in reducing the polynomial into a simplified form.
I am doing differentiations; ... | 4 | [
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Triatomic Molecule
Next: Exercises Up: Coupled Oscillations Previous: Spring-Coupled Masses
Consider the simple model of a linear triatomic molecule (e.g., carbon dioxide) illustrated in Figure 38. The molecule consists of a central atom of mass
The kinetic energy of the molecule is written
whereas the potential... | 4 | [
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sigma algebra problem
October 18th 2006, 09:19 AM #1
Newbie
Joined
Oct 2006
Posts
4
sigma algebra problem
Hi there,
I am stuck. Let's say that S is a sigma algebra of subsets of O. if A and B belongs to S, how can I prove that A intersection B is itself a sigma algebra of subsets of B?
I will a... | 5 | [
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Integration by inspection
October 16th 2010, 04:12 AM #1
Senior Member
Joined
Apr 2010
Posts
487
Integration by inspection
The question:
Evaluate the following integral by inspection
$\int{\frac{sin(\sqrt{x})}{\sqrt{x}}}dx$
How would one solve this by inspection? The only thing I can think o... | 5 | [
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... | 17,823 | 17823 | |
real analysis
March 1st 2009, 07:43 AM #1
Newbie
Joined
Mar 2009
Posts
2
real analysis
1. If ∑an with an >0 is convergent, then is ∑an² always convergent? Either prove it or give a counterexample?
2. If ∑an with an >0 is convergent, then is ∑(anan+1)^(1/2) always convergent? Either prove it or give a... | 5 | [
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Patent US5323338 - Pseudo-random sequence generators
FIELD OF THE INVENTION
This invention relates to pseudo-random sequence generators.
BACKGROUND TO THE INVENTION
Pseudo-random sequences of integers find many applications, for example in the sampling and simulation technologies. Sampling is an important factor for... | 4 | [
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Examination questions
October 20th 2009, 12:58 PM #1
Newbie
Joined
Oct 2009
Posts
5
i can't solve this question
if 5^x x 25^2y=1 and 3^5x x 9^y = 1/9 calculate the value of x and y
Can you confrim this to be the system?
$5^{x} \times 25^{2y}=1$
$3^{5x} \times 9^{y} = \frac{1}{9}$
... | 4 | [
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integrating exponential
May 27th 2009, 04:13 AM #5
May 26th 2009, 04:49 AM #4
May 26th 2009, 04:44 AM #3
Junior Member
May 26th 2009, 04:42 AM #2
May 26th 2009, 04:29 AM #1
Junior Member
Sorry but if that's the question then this answer is totally wrong. Differentiate it and see for yourself.
$\int e^{\fra... | 5 | [
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-0.... | 17,827 | 17827 | |
Equation help
January 26th 2011, 01:46 AM #1
Junior Member
Joined
Jul 2009
Posts
68
if log x / a-b = log y / b-c = log z / c-a then xyz = ?????
answer - a)2 , b)-1 ,c) 1 ,d) 0
please tell the steps.
Have you read the "Sticky: List of rules used to moderate MHF - please read carefully before... | 5 | [
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Calculate spring constant - Euler's Method
February 9th 2010, 01:16 PM #1
Junior Member
Joined
Feb 2010
Posts
28
Calculate spring constant - Euler's Method
Can anyone solve this?
A physical system composed of a mass connected by a spring to a fixed point and moving without friction on a horizontal l... | 5 | [
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0.... | 17,829 | 17829 | |
(r-s)(x)
October 2nd 2012, 10:39 AM
Eraser147
(r-s)(x)
Suppose r(x) = 3+4/x^2+1, s(x)= x^+6/6x-1. Write the expression (r-s)(x) as a simplified ratio with the numerator and denominator each written as a sum of terms of the form cx^m and c>0 for the
term with the highest power in the numerator. I ended up wit... | 4 | [
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Physics Forums - Equation for transverse wave
Studiot Dec17-12 05:32 PM
Re: Equation for transverse wave
Quote:
Post#3
Would y=Acos(kx-wt) + Bcos(kx+wt) + Csin(kx-wt) + Dsin(kx+wt)
Quote:
Post#6
y = Ʃ sin(nπx/L)*[An cos(ωt) + Bn sin(ωt] + cos(nπx/L)*[Cn cos(ωt) + Dn sin(ωt].
Quote:
Post#8
I've modeled the sha... | 5 | [
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... | 17,831 | 17831 | |
inequality
October 21st 2009, 10:30 PM
lllll
inequality
I'm having a great deal of difficulty trying to show that if $x, \ y, \ z \ \in \mathbb{R}^{+}$ and that $x \leq y+z$ then $\frac{x}{x+1} \leq \frac{y}{y+1} + \frac{z}{z+1}$
I've tryed working this thing out backwards, taking $\frac{x}{x+1} \leq \frac{... | 5 | [
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0.01... | 17,832 | 17832 | |
Patent US7035231 - Method for controlling outer loop power in a WCDMA system
FIELD OF THE INVENTION
The invention relates to a method for controlling the reverse link power in the WCDMA, in particular to a method for controlling outer loop power therein.
BACKGROUND OF THE INVENTION
CDMA is a modulation and multiple ... | 4 | [
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0.125,
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0.0... | 17,833 | 17833 | |
Statistical mechanics
This shouldn't be too hard but I'm struggling.
Consider N identical particles in a box of volume V. The relation between their linear momentum and kinetic energy is given by [tex]E = c\left|\overrightarrow{p}\right|[/tex], where c is the speed of
light. So, the Hamiltonian of the system is
[tex]... | 4 | [
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Physics Forums - View Single Post - Determining relativistic velocity from work done from rest with a given rest mass
The total energy is given by
[tex]\frac{mc^2}{\sqrt{1-v^2/c^2}}[/tex]
It is also given by
[tex]mc^2+w[/tex]
Set those two expressions equal and solve for v which gives:
[tex]v=\pm\frac{c \sqrt{w \lef... | 4 | [
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graph theory, chromatic number relation
May 4th 2009, 04:35 AM
Jason Bourne
graph theory, chromatic number relation
Let G be a simple graph with v vertices and every vertex of degree d. Show that $\chi (G) \geq \frac{v}{(v-d)}$
where $\chi (G)$ is the chromatic number, the least k for which the graph G is k... | 5 | [
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Nontrivial Solution/Laplace Transform
December 13th 2011, 07:48 AM #1
Newbie
Joined
May 2010
Posts
14
Nontrivial Solution/Laplace Transform
So on this practice exam paper problem #5 (page 7) http://www.math.lsa.umich.edu/course...inalW10sol.pdf
I am told to find the Laplace Transform of:
tx''-3x... | 5 | [
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... | 17,837 | 17837 | |
Effect of Material Thickness on Attenuation (dB) of PTFE Using Finite Element Method at X-Band Frequency
Advances in Materials Science and Engineering
Volume 2014 (2014), Article ID 965912, 5 pages
http://dx.doi.org/10.1155/2014/965912
Research Article
Effect of Material Thickness on Attenuation (dB) of PTFE Using Fi... | 4 | [
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Study on the Macromesoscopic Yield Criterion of Concrete Material
Advances in Condensed Matter Physics
Volume 2013 (2013), Article ID 190826, 8 pages
http://dx.doi.org/10.1155/2013/190826
Research Article
Study on the Macromesoscopic Yield Criterion of Concrete Material
^1State Key Laboratory of Hydrology-Water Reso... | 4 | [
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derivatives and line tangent help please
February 4th 2010, 09:53 PM #1
Newbie
Joined
Jan 2010
Posts
23
derivatives and line tangent help please
Hi, I'm stuck on a couple questions and need major help.
Find f'(x)
*I'm guessing taking derivative in respect of x if that makes any difference..
... | 4 | [
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help me on the arrangement please
December 28th 2010, 06:37 PM #1
help me on the arrangement please
Please help me on this, thanks a lot.
In how many was can the letters of the word MURMUR be arranged without letting two letters which are the same be adjacent?
"MURMUR" has 6 letters so if all the letter... | 4 | [
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Finding orthonormal set using Gram-Schmidt and least squares
Firstly, let me make a correction to one of my previous posts (post #4).
We note [itex]Q[/itex] is orthogonal so [itex]Q^{T}=Q[/itex].
should read
We note [itex]Q[/itex] is orthogonal so [itex]Q^{T}=Q^{-1}[/itex].
Secondly, return to the Normal equations ... | 4 | [
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0.00387573242... | 17,842 | 17842 | |
Brevet US7685278 - Adapting Bayesian network parameters on-line in a dynamic environment
BACKGROUND OF THE INVENTION
1. Field of Invention
The present invention pertains to the field of automated reasoning. More particularly, this invention relates to Bayesian networks in automated reasoning.
2. Art Background
Baye... | 4 | [
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0.0054... | 17,843 | 17843 | |
More Derivatives
Use the short cut rules, then simplify results I am going crazy please help me :eek: f(x)=1/x k(x)=2x/x^2+2 v(x)=(x^2+3)^ m(x)=-5(x^4+3)^8
Quote: Originally Posted by Hallah_az Hello, to 1.: $f(x)=x^{-1} \Longrightarrow \frac{df}{dx}=(-1) \cdot x^{-2}=- \frac{1}{x^2}$ to 2.: You have to use the quotie... | 5 | [
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... | 17,844 | 17844 | |
Probability mass function
March 30th 2008, 08:59 PM #1
Junior Member
Joined
Feb 2008
Posts
63
Probability mass function
an urn contains 100 balls: 20 white, 30 black and 50 gray. SUpposed that 20 balls are chosen at random and without replacement. Let W,B, and G be the number of balls, respectibely. Calc... | 4 | [
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0.09375,
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-0.050292... | 17,845 | 17845 | |
Minimal Polynomial
March 4th 2010, 07:12 PM #1
Minimal Polynomial
Without finding the minimal polynomial for $r=i\cdot 2^{\frac{1}{3}}+i$, show the degree of said polynomial must be $6$. I know this is true because I was able to derive $r\text{'s}$ minimal
polynomial ( $f(x)=x^6+3x^4-9x^2+9$), but in doing so... | 5 | [
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-0.09033203125,
0.04248... | 17,846 | 17846 | |
Proof that if a<b, b<c then a<c
March 5th 2010, 04:12 AM #1
Junior Member
Joined
Oct 2009
Posts
31
Proof that if a<b, b<c then a<c
Hello
I've been trying to prove this, but I don't even know how to start.
Assuming, a, b, c € N, I wanted to prove that if
a < b and b < c then a < c.
I kn... | 5 | [
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0.01214599609375,... | 17,847 | 17847 | |
represents points as curve
March 25th 2007, 05:04 AM #1
Newbie
Joined
Nov 2006
Posts
14
represents points as curve
the following table gives the force F newtons which, when applied to a lifting machine overcomes a corresponding load of L newtons.
Force F newtons 25 47 64 120 149 187
Load L newto... | 4 | [
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Semiconductors: Find maximum Operating temp.
1. The problem statement, all variables and given/known data
"A GaAs device is doped with a donor concentration of 3x10^15 cm^-3.For the device to operate properly, the intrinsic carrier concentration must remain less than 5% of the total electron
concentration. What is the ... | 4 | [
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Let a>0 and let z1>0. Define zn+1:=for nN. show that (zn) converges and findthe limit
September 19th 2012, 10:32 PM #1
Newbie
Joined
Aug 2012
From
Singapore
Posts
7
Let a>0 and let z1>0. Define zn+1:=for nN. show that (zn) converges and findthe limit
Let a>0, and z[1]>0. Define z[n+1]= sqrt(a+z[n]), ... | 5 | [
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An interesting indefinite integral
solve $\int \left[ \frac{ \arctan(x) }{ x - \arctan(x) } \right]^2 ~dx$
Last edited by mr fantastic; June 1st 2009 at 03:06 AM. Reason: Re-sized the square brackets
let $\tan^{-1} x = t.$ then your integral becomes: $I=\int \frac{t^2 \sec^2t}{(\tan t - t)^2} \ dt=\int \frac{t^2}{(\s... | 5 | [
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-0.0... | 17,851 | 17851 | |
Meaning of Slope for a v-t Graph
As discussed in the previous part of Lesson 4, the shape of a velocity versus time graph reveals pertinent information about an object's acceleration. For example, if the acceleration is zero, then
the velocity-time graph is a horizontal line (i.e., the slope is zero). If the accelerati... | 4 | [
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Patent US5057843 - Method for providing a polarization filter for processing synthetic aperture radar image data
ORIGIN OF THE INVENTION
The invention described herein was made in the performance of work under a NASA contract, and is subject to the provisions of Public Law 96-517 (35 USC 202) in which the Contractor h... | 4 | [
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0.0224609375... | 17,853 | 17853 | |
Math Help
May 13th 2007, 10:46 AM #1
The volumes of two similar pyramids are 27 and 64. If the smaller has lateral area of 18, find the lateral area of the larger. Please explain. Thank you.
The volumes of two similar solids are the the proportion of the cubes of
corresponding linear measures (sides in t... | 4 | [
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convertion between numeral systems
November 21st 2012, 08:58 AM
Stormey
convertion between numeral systems
Hi guys.
i'm new here.
English isn't my first language, so you'd have to forgive me for any mistakes you might find...(Itwasntme)
I couldn't find more suitable place to post it, and i hope this... | 4 | [
-0.00958251953125,
-0.022216796875,
-0.10107421875,
-0.058349609375,
-0.025634765625,
0.016357421875,
0.008544921875,
0.0732421875,
-0.008544921875,
-0.0111083984375,
-0.055419921875,
-0.021484375,
0.07470703125,
0.00628662109375,
-0.016845703125,
-0.0673828125,
-0.0849609375,
0.16... | 17,855 | 17855 | |
a few more integrals from this year's MIT Integration Bee
February 7th 2010, 06:33 PM #1
a few more integrals from this year's MIT Integration Bee
Since I don't know the solutions to all of these, I'm posting them here instead of in the Math Challenge Problems forum.
None of these integrals should have very... | 5 | [
0.0146484375,
-0.09326171875,
0.0054931640625,
-0.042236328125,
0.0654296875,
-0.0228271484375,
0.026123046875,
-0.016357421875,
-0.060546875,
0.04833984375,
-0.0137939453125,
-0.00311279296875,
-0.022216796875,
0.0166015625,
-0.045654296875,
0.0390625,
-0.036376953125,
-0.046875,
... | 17,856 | 17856 | |
Finding the inverse of a function
December 29th 2007, 06:11 PM #1
Newbie
Joined
Dec 2007
Posts
11
Finding the inverse of a function
Find the inverse of the function:
f(x) = (3/4) x^5 + 5
read "three-fourths x to the fifth plus 5"
Graphing my progress on my calculator as I go, the last poi... | 4 | [
0.00014019012451171875,
-0.0751953125,
0.0079345703125,
0.055419921875,
-0.034912109375,
-0.0908203125,
-0.0625,
-0.037841796875,
0.034423828125,
0.05419921875,
0.025634765625,
0.023193359375,
0.03271484375,
0.0791015625,
0.0286865234375,
0.10009765625,
-0.06005859375,
0.0003147125... | 17,857 | 17857 | |
Equivalence classes
December 30th 2008, 07:46 PM #1
Newbie
Joined
Dec 2008
Posts
18
Equivalence classes
For the following f: R-> Z is defined by f(x) = floor (x), describe the equivalence classes of the kernal relation of f that partition the domain of f.
Describe the equivalence classes for x~y iff... | 5 | [
-0.054931640625,
0.022216796875,
-0.040771484375,
-0.036376953125,
0.023681640625,
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0.00927734375,
0.004119873046875,
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0.03076171875,
-0.07568359375,
0.01611328125,
-0.037353515625,
-0.0185546875,
-0.055908203125,
-0.0037689208984375,
0... | 17,858 | 17858 | |
Patent US4979133 - Pyrometer
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a pyrometer, more particularly, it relates to a pyrometer for measuring the temperature of a target by employing light as a medium.
2. Description of the Prior Art
In such a pyrometer, it is necessary... | 4 | [
-0.0712890625,
-0.0284423828125,
-0.042724609375,
-0.004425048828125,
0.011962890625,
0.005859375,
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0.06005859375,
0.0693359375,
0.03515625,
0.0703125,
-0.039794921875,
0.0186767578125,
0.038818359375,
0.05419921875,
0.004180908203125,
-0.024169921875,
0.013916015625,
... | 17,859 | 17859 | |
MathGroup Archive: March 2007 [00888]
[Date Index] [Thread Index] [Author Index]
Re: Solving a nasty rational differential equation
• To: mathgroup at smc.vnet.net
• Subject: [mg74633] Re: Solving a nasty rational differential equation
... | 4 | [
-0.10107421875,
0.007049560546875,
0.12158203125,
0.061767578125,
-0.01409912109375,
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0.0810546875,
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0.03955078125,
-0.078125,
0.048583984375,
-0.01220703125,
0.0795898437... | 17,860 | 17860 | |
[Haskell] Announce: Adaptive Simulated Annealing interface for
haskell
[Haskell] Announce: Adaptive Simulated Annealing interface for haskell
John Meacham john at repetae.net
Wed Jan 19 18:59:45 EST 2005
I have made a basic binding to Lester Ingber's Adaptive Simulated
Annealing code. Adaptive simulated annealing is... | 5 | [
-0.0546875,
0.010009765625,
-0.0003185272216796875,
0.0220947265625,
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-0.05078125,
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0.00531005859375,
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-0.009521484375,
-0.10400390625,
-0.0301513671875,
0.10400390625,
-0.053466796875,
-0.05029296875,
0.068359375,
0.09716796875,
-0.003... | 17,861 | 17861 | |
Compute the moment of inertia
March 4th 2009, 11:24 PM #1
Junior Member
Joined
Nov 2008
Posts
45
Compute the moment of inertia
Hi,
Can anybody help with this question please:
Compute the moment of inertia of the object in the attached figure (a thin disk missing a portion, where the angle is θ ... | 5 | [
-0.00148773193359375,
0.08056640625,
-0.01507568359375,
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0.06640625,
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0.021728515625,
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0.045166015625,
0.002471923828125,
0.01263427734375,
-0.002349853515625,
-0.06103515625,
-... | 17,862 | 17862 | |
fibonacci puzzle problem
February 3rd 2009, 11:35 AM
lauren2988
fibonacci puzzle problem
Three men possess a pile of money, their shares being ½, 1/3, 1/6. Each man takes some money from the pile until nothing is left. The first returns ½ of what he took, the second 1/3, and the
third 1/6. When the total so ... | 5 | [
-0.07421875,
0.03076171875,
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-0.029296875,
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-0.03125,
0.0274658203125,
0.06201171875,
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0.0140380859375,
-0.02392578125,
-0.05029296875,
-0.0849609375,
0.0244140625,
0.01770019... | 17,863 | 17863 | |
Parametric curves and complex numbers
September 2nd 2011, 10:57 PM
andrew2322
Parametric curves and complex numbers
Hello guys, i've done a few more problems that i need corrected, thanks.
1.) The position of a particle in the xy plane at time t (seconds) is given by r(t) = (2 + 5t^2)i + (-3 + t)j
a) f... | 5 | [
-0.05126953125,
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0.07373046875,
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0.07763671875,
0.035888671875,
0.0130615234375,
0.053955078125,
0.043701171875,
0.04638671875,
-0.0478515625,
... | 17,864 | 17864 | |
What if curl B = 0 AND div B = 0
maCrobo
Hi!
Think about it mathematically to be sure of your result, so rewrite curl and div as [itex]\nabla[/itex]. Then [itex]\nabla \times B=0[/itex] and [itex]\nabla \cdot B=0[/itex].
This means that B must be parallel and perpendicular to the same vector, then the unique soluti... | 4 | [
-0.1142578125,
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0.0289306640625,
0.10791015625,
-0.0693... | 17,865 | 17865 | |
Patent US4616300 - Method of and apparatus for efficient high voltage generation by resonant fly back
The present invention relates to efficient high voltage generation for such applications as cathode-ray-tube (CRT) anode power supplies and the like and other high-voltage, low-current,
high-impedance power supplies; b... | 4 | [
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0.1015625,
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0.029296875,
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0... | 17,866 | 17866 | |
Finding a formula for a linear map.
October 15th 2009, 12:54 PM
GreenDay14
Finding a formula for a linear map.
I have a question here that states:
Find a formula for the linear map T: P2(R) --> P1(R) such that
M(T, v1, v2, v3, w1, w2) = (the matrix) 1 -2 4
0 2 3
Here v1(x) = 1 + x, v2(x) = x²,... | 4 | [
-0.01348876953125,
0.0184326171875,
-0.03857421875,
0.0030364990234375,
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0.01312255859375,
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0.00191497802734375,
-0.0225830078125,
0.09912109375,
-0.07... | 17,867 | 17867 | |
Converence Sequence
The series (1x2)/(3^2x4^2) + (3x4)/(5^2x6^2) + (5x6)/(7^2+8^2) +... is convergent? a) True b) False Is the answer true? Thanks! Bruce
So the series is $\sum_{n=1}^\infty \frac{n(n+1)}{(n+2)^2(n+3)^2}$. If you know the limit comparison test, you should be able to apply it directly. With a little eff... | 5 | [
-0.0087890625,
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-0.091796875,
0.09033203125,
0.00689697... | 17,868 | 17868 | |
Hartle: QM of Individual Systems (1968)
In Fredrik's recent thread:
http://www.physicsforums.com/showthread.php?t=506326
some questions arose about this paper:
J. B. Hartle, "Quantum Mechanics of Individual Systems",
Am. J. Phys., vol 36, no 8, (1968), pp704-712.
[For other readers, you'll need to have read or be ... | 4 | [
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0.025146484375,
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0.04052734375,
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-0.03... | 17,869 | 17869 | |
Complex Number finding the roots
November 3rd 2010, 01:48 AM #1
Super Member
Joined
Dec 2008
Posts
509
Complex Number finding the roots
Hi
I need help on the following equation:
1) $z^4+2z^2+4 =0$
$u=z^2$
$u^2+2u+4=0$
use quadratic equation:
i get
$u= \frac{-2 +\sqrt{16}}... | 4 | [
-0.026123046875,
0.076171875,
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0.057861328125,
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-0.03564453125,
0.051025390625,
-0.009... | 17,870 | 17870 | |
Linear Regression
June 3rd 2010, 05:34 AM #1
Member
Joined
Mar 2006
Posts
125
Linear Regression
Hello guys,
I have a small question please:
An experiment was made to find correlation between X and Y.
2 Regression lines has been build:
1. Y=a+bx
2. X=n+mY
It is known that: m=-... | 4 | [
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-0... | 17,871 | 17871 | |
Summary: Math 140
Introductory Statistics
Professor Bernardo Ábrego
Lecture 5
Sections 2.4, 4.1
Example (p. 91)
According to the table on page 87, the death rates
per 100,000 residents from cancer are approximately
normal, with mean 196 and SD 31. The middle 90%
of death rates are between what two numbers?
Example (p. ... | 4 | [
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0.024169921875,
0.0142822265625,
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0.01092529296875,
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0.10693359375,
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-0.0654296875,
-0.0... | 17,872 | 17872 | |
[Mathematica] Simple Problem with the plot function
PEZenfuego
That's really neat and useful. I was so accustomed to just glazing over (1-Sqrt[5])/2, that I forgot that it was negative. If you raise it to the power of 1/2 for example, then the answer is
imaginary. That's why it is not a real-valued function, correct... | 4 | [
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0.044189453125,
-0.104003906... | 17,873 | 17873 | |
Brevet US6549566 - Bandwidth reduced multi carrier wireless transceiver and method thereof
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a wireless transceiver system using Multi Carrier modulation and, in particular, to a Multi Carrier transceiver which can reduce a transmiss... | 4 | [
0.0155029296875,
0.0654296875,
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0.0196533203125,
-0.01214599609375,
0.00168609619140625,
0.01977... | 17,874 | 17874 | |
-Potence Preservers on Matrix Spaces over Complex Field
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 581683, 8 pages
http://dx.doi.org/10.1155/2013/581683
Research Article
A Note on -Potence Preservers on Matrix Spaces over Complex Field
^1Department of Mathematics, Harbin Institute of Technology, Ha... | 5 | [
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... | 17,875 | 17875 | |
Math Tools Discussion: All Lesson Plans in Calculus on TI Calculator, teacher needs help!
Discussion: All Lesson Plans in Calculus on TI Calculator
Topic: teacher needs help!
<< see all messages in this topic
< previous message | next message >
Subject: RE: teacher needs help!
Author: Chuck
Date: Dec 14... | 4 | [
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0.0162353515625,
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Physics Forums - View Single Post - Dissipative Lagrangian
I do not understand how the lagrangian
L
can correspond to two such oscillators.
You wrote two equations above, one is the equation of h.o. with friction, the other one has friction term with opposite sign, which leads to run-away.
The energy here is defined... | 4 | [
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-0.005401611328125,
0.0361328125,
0.... | 17,877 | 17877 | |
Comparative Studies of Different Control Strategies of a Dynamic Voltage Restorer Based on Matrix Converter
Advances in Power Electronics
Volume 2012 (2012), Article ID 327186, 9 pages
http://dx.doi.org/10.1155/2012/327186
Research Article
Comparative Studies of Different Control Strategies of a Dynamic Voltage Resto... | 4 | [
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0.054931640625,
-0.022705078125,
0.... | 17,878 | 17878 | |
[SOLVED] Geometry
February 8th 2009, 04:27 PM #1
Newbie
Joined
Feb 2009
Posts
1
[SOLVED] Geometry
In triangleABC
D is a point on BA such that BD
E is a point on CB such that CE:EB = 1:4
DC and AE intersect at F
I am suppose to find CF:FD(express the ratio in terms of two positive whole nu... | 5 | [
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0.0029296875,
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-0.0194091796875,
-0.04638671875,
0.028198... | 17,879 | 17879 | |
Numerical Solution to System of Non-linear Equations
Maximilien
1. The problem statement, all variables and given/known data
I am having problems solving this system of non-linear equations in Matlab and Mathematica. a,b,c,d,e,f are all independent variables.
In Matlab I use fsolve() and get one solution, in Mathe... | 4 | [
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0.033935546875,
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0.046875,
-0.05126953125,
-0.0419921875,
-0... | 17,880 | 17880 | |
geometry
September 8th 2008, 01:43 PM
0110kim
geometry
http://www.mathhelpforum.com/math-he...ree-degree.bmp A rectangular room 4m by 3m and 2m high. A Snail is at A and wants to get to R. Find the shortest path it could crawl without crossing the
ceiling. Find the length of this path and draw it on a 3D sk... | 4 | [
0.0634765625,
0.0830078125,
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0.09375,
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0.0101318359375,
0.064453125,
0.0016632080078125,
0.01226806640625,
-0.034423828125,
0.04101562... | 17,881 | 17881 | |
Solid and hollow shafts
series111
1. The problem statement, all variables and given/known data
assuming that the maximum shear stress and torsion are the same in both shafts design a hollow shaft to replace the solid one . the ratio diameters is to be 0.6 for the maximum shear stress i
calculated 79.95 x 10 ^6 mn/m2... | 5 | [
0.0159912109375,
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0.0546875,
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0.015380859375,
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-0.016357421875,
0.03173828125,
0.0172119140625,
... | 17,882 | 17882 | |
Solar energy cell question
1. The problem statement, all variables and given/known data
Current solar-panel technology has the efficiency of converting 12% of the solar energy to electricity. Given that on a sunny day in Arizona the average solar radiation energy flux is 1.0 kW/m^2 ,
and that the area of Arizona is 3.... | 4 | [
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How do particles become entangled?
TheDonk
How do particles become entangled?
First of all let's explain the idea of
quantum "entanglement"
.
Suppose that we have two particles, 1 and 2, with corresponding Hilbert spaces
H[1]
and
H[2]
. Suppose that particle 1 is in the state |ψ> Є
H[1]
, and that particle ... | 4 | [
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Proof by contradiction
April 9th 2009, 03:07 PM #1
Member
Joined
Jan 2009
From
Kingston, PA
Posts
96
Proof by contradiction
I need to prove that SqRt of 3 is irrational using a proof my contradiction and the lemma: an interger n is a multiple of 3 iff n^2 is a multiple of 3
I know to assume the ... | 4 | [
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0.050... | 17,885 | 17885 | |
simultaneous equation help
July 3rd 2010, 05:58 AM #1
Newbie
Joined
Jul 2010
Posts
4
simultaneous equation help
i'd be really grateful if someone could complete this simultaneous equation with working out explaining each stage of the process. thanks.
y = 2x + 3
x2 + y2 = 2
I assume that th... | 4 | [
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0.00... | 17,886 | 17886 | |
Equilibrium probabilites for a three-state markov process
April 12th 2011, 12:30 PM #1
Junior Member
Joined
Nov 2009
Posts
64
Equilibrium probabilites for a three-state markov process
I can find the equilibrium probabilities for a 2 x 2 matrix:
$(\pi_0, \pi_1) = (\pi_0 , 1 - \pi_0 )\[ \left( \begin{... | 4 | [
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-0.05883... | 17,887 | 17887 | |
power series representation
December 7th 2010, 11:18 PM #1
Member
Joined
Oct 2010
Posts
127
power series representation
What is the power series expression for f(x)=x^2sin(x). Find the radius of convergence too.
I know that the power series of sinx is (-1)^n (x^(2n+1))/(2n+1)! But what about the x^2... | 5 | [
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Partial derivatives after a transformation
MarkovMarakov
Suppose I have a transformation
[tex](x'_1,x'_2)=(f(x_1,x_2), g(x_1,x_2))[/tex] and I wish to find [tex]\partial x'_1\over \partial x'_2[/tex] how do I do it?
If it is difficult to find a general expression for this, what if we suppose [itex]f,g[/itex] are s... | 4 | [
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Proof by Induction
April 10th 2011, 11:26 PM
Oiler
Proof by Induction
Hey all,
can anyone show me how I can prove a statement like this by Induction. Thanks.
$1^3+2^3+3^3+...+n^3=\frac{1}{4}n^2(n+1)^2$ for all $n \in \mathbb{Z}$
April 10th 2011, 11:35 PM
veileen
Well, your n is natural unzero. (t... | 4 | [
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Derivation of heat transfer equation for spherical coordinates
Your (edited) equation has incompatible terms: the first is infinitesimal, the second isn't. Plus, the terms' dimensions don't agree: the first one's are (using SI) J/sec whereas the second one's are
J/(sec-m).
Ironically, your unedited equation has match... | 4 | [
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Methods for Solving Generalized Nash Equilibrium
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 762165, 6 pages
http://dx.doi.org/10.1155/2013/762165
Research Article
Methods for Solving Generalized Nash Equilibrium
School of Management, Qufu Normal University, Rizhao, Shandong 276826, China
Received... | 5 | [
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Patent US5214720 - Image processing method for the detection of the horizon and device for the implementation thereof
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention relates to the field of image processing with a view to the automatic detection of the horizon that appears in these images.
The au... | 4 | [
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Angular Momentum
Considering a Rigid Body/Angular Momentum/Torque
We know that Torque(ext) = dL/dt
Now with respect to stationary point S:
L(s, cm) = Ʃ(ρi x mivi)
and that dL(cm)/dt = Ʃτ(ext, CM)
Now with respect to ANY point, P, that is accelerating:
L(s,p) = L(cm) + ρ(cm) x Mv(cm)
And hence,
Ʃτ(ext, p) = dL(rel_p)... | 4 | [
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Linear System Transformations
Hi there,
I have a linear algebra question relating actually to control systems (applied differential equations)
for the linear system
[itex]
{\dot{\vec{{x}}} = {\bf{A}}{\vec{{x}}} + {\bf{B}}}{\vec{{u}}}\\
\\
A \in \mathbb{R}^{ nxn }\\
B \in \mathbb{R}^{ nx1 }\\
[/itex]
In class, we ... | 4 | [
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Differential equation - deflection of bar.
August 15th 2011, 10:51 PM #1
Member
Joined
Jun 2009
Posts
108
Differential equation - deflection of bar.
I am having trouble obtaining the answer of the following problem:
The deflection of a 5-meter-long board from the horizontal satisfies the differentia... | 5 | [
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Quick Entropy / Enthalpy Question
niallj
You need to solve the following equation: [itex]\Delta G = \Delta H - T \Delta S[/itex]. You know [itex]\Delta G[/itex] and [itex]T[/itex], which leaves two unknowns: [itex]\Delta H[/itex] and [itex]
\Delta S[/itex].
You cannot solve for two unknowns with a single equation: ... | 5 | [
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indices
November 17th 2007, 05:11 AM
kristyneo
indices
Have homework on indices as follows but unable to solve. Any help is appreciated.
Evaluate
1) 12^x/3^x-1
2) 12^x/3^x-1 multiply 4^x+1/2
3) 24^x//2^3x+1 multiply [3^x+1/2^2x+1]^-2
thank you so much
November 17th 2007, 05:38 AM
earbot... | 4 | [
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Problem 35
August 26th 2007, 02:50 PM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Problem 35
The mathematician, Fermat, said that any prime $p$ of the form $4k+1$ can be expressed as a sum of two squares. However, it turns out amazingly, that this representation i... | 5 | [
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-0.0109252929687... | 17,899 | 17899 |