content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Patent US20030161444 - Method of reconstructing images for spiral and non-spiral computer tomography
[0001] This invention relates to computer tomography, and in particular to processes and systems for reconstructing three-dimensional images from the data obtained by spiral and non-spiral scans, and
this invention is a... | 4 | [
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0.034... | 23,100 | 23100 | |
Prime Ideals and Maximal Ideals
Find all prime ideals and maximal ideals of $\mathbb{Z}_2 \ \times \ \mathbb{Z}_4$.
start looking at the (additive) subgroups, first. the first thing to look for is cyclic subgroups of order 4: these are generated by elements of order 4. we have: <(0,1)> = <(0,3)> = {(0,0),(0,1),
(0,2),... | 4 | [
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-0.0673... | 23,101 | 23101 | |
Physics Forums - Integrating by parts?
Integrating by parts?
1. The problem statement, all variables and given/known data
[tex]\text {Evaluate } \int^m_1 x^{3}ln{x}\,dx[/tex]
2. Relevant equations
3. The attempt at a solution
Integrating by parts, but not sure which term to substitute out...it's not turning o... | 5 | [
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0.0942... | 23,102 | 23102 | |
Distribution (FDD) of random process Xt
March 23rd 2012, 04:42 AM #1
Newbie
Joined
Aug 2009
Posts
20
Thanks
1
Distribution (FDD) of random process Xt
Hello everyone!
The question I have is:
$\xi$ and $\eta$ are indpt standard normal random variables, we have a random process $X_t$ ,where:
... | 5 | [
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-0.... | 23,103 | 23103 | |
Rolle's Theorem
February 27th 2010, 09:44 AM #1
Newbie
Joined
Jan 2010
Posts
12
Rolle's Theorem
This is the last part of a problem that I'm working through. The problem is on Rolle's theorem.
Using Rolles Theorem prove that for any real number λ: the function f(x) = x^3 - (3/2)x^2 + λ never has two ... | 4 | [
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Wave equation: d'Alemberts Method
October 19th 2008, 11:34 PM #1
Junior Member
Joined
Oct 2008
Posts
49
Wave equation: d'Alemberts Method
Hi all.
I have two questions.
The first question: Let us say I am given a PDE on this form:
$\frac{d^2}{dx^2}u+\frac{d^2}{dt^2}u=0$
for $0<x<L$ an... | 5 | [
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A Characterization of Semilinear Dense Range Operators and Applications
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 729093, 11 pages
http://dx.doi.org/10.1155/2013/729093
Research Article
A Characterization of Semilinear Dense Range Operators and Applications
^1Universidad de los Andes, Facultad de ... | 5 | [
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Conservation of Momentum
November 1st 2009, 02:07 PM
WhoCares357
Conservation of Momentum
Quote:
A railroad flatcar of weight 7840 N can roll without friction along a straight horizontal track. Initially, a man of weight 596 N is standing on the car, which is moving to the right with speed
25 m/s; see t... | 4 | [
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Chemical potential vs pressure and temperature; difficulty with Fermi gases
jfizzix
could you show how you derived this?
-James
[itex] Lp=-\Omega=\frac{2}{\beta}\int_0^\infty d\omega D(\omega) \ln (1 +\exp(-\beta(\omega-\mu)) [/itex]
Here, [itex] \Omega [/itex] is the grand potential, D is the density of states [... | 4 | [
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Power and heaters
Register to reply
by jakey
Tags: heaters, power
P: 51 1. The problem statement, all variables and given/known data
A heater rated at 2000W operating at 250V is used on a supple of 23... | 4 | [
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Multilinear Maps
Here is a bilinear map φ of two vector spaces V₁ & V₂ into another vector space N with
respect to the bases B = {e₁,e₂} & B' = {e₁',e₂'}:
φ : V₁ × V₂ → N | (m₁,m₂) ↦ φ(m₁,m₂) = φ(∑ᵢλᵢeᵢ,∑[j]μ[j]e'[j])
_______________________________= φ(λ₁e₁ + λ₂e₂,μ₁e₁' + μ₂e₂') = φ(λ₁e₁ + λ₂e₂,μ₁e₁') + φ(λ₁e₁ + λe₂,μ... | 4 | [
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Geometric Sequences and Sums
Sequence
A Sequence is a set of things (usually numbers) that are in order.
Geometric Sequences
In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Example:
2, 4... | 4 | [
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Patent US6879141 - Temperature compensated voltage supply circuit
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a temperature compensated voltage supply circuit, in particular to a technique and circuit to develop a temperature compensated voltage from two or more base voltage... | 4 | [
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Solving For X - Algebra
November 14th 2010, 07:02 AM #1
Newbie
Joined
Nov 2010
Posts
6
Solving For X - Algebra
Alright, I kind of zoned out in class the other day, and I can't remember the method to solve for x in this equation.
3 + 2[4x − 3(5 − x)] = 3(x − 20)
The answer to this question is x ... | 4 | [
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Prove 1-(1/n)<an<1
Suppose the numbers a0,a1,a2,...,an satisfy the following conditions: a0=1/2, a(k+1)=ak+(1/n)(ak)^2 ; k=1,2,...,n-1 Prove that 1-(1/n)<an<1.
Calculate the value of $a_1$, check that $1-\frac{1}{n}<a_1<1$ and use method of induction to prove the required.
by induction,i have Let n=1, 0<an<1 (true) w... | 5 | [
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Help with finding height of trapezoid with triangles.
March 8th 2013, 03:58 PM #1
Newbie
Joined
Mar 2013
From
Iowa
Posts
1
Help with finding height of trapezoid with triangles.
I need to find the value for h. I know I need to use cos or sin or tan but Im just not really sure where to start. I ... | 4 | [
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Babylonian Algorithm for C
Babylonian Algorithm for Computing Cube Roots Without a Calculator
The Babylonian algorithm for computing square roots can be adapted for the calculation of cube roots as well. The modified Babylonian method is a divide-and-average process, except that you take the
weighted average of two nu... | 4 | [
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The Well-Posedness of Solutions for a Generalized Shallow Water Wave Equation
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 872187, 15 pages
http://dx.doi.org/10.1155/2012/872187
Research Article
The Well-Posedness of Solutions for a Generalized Shallow Water Wave Equation
Department of Applied Mathem... | 5 | [
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How to Find the Radius of a Curvature | The Classroom | Synonym
The radius of a curvature is the radius of a circle drawn through parts of a curve. This radius can be used for a variety of mechanical, physical and optical calculations. Finding the radius requires
the use of calculus. The formula for finding the radius ... | 4 | [
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determining absolute or conditional convergence
March 25th 2010, 05:17 PM #1
Member
Joined
Aug 2008
Posts
249
determining absolute or conditional convergence
This is a question that was on my quiz.
sum (n=1 to infinite) of (-1)^(n+1) (n!)^2 / (2n)!
i did the alternating series test and showed t... | 5 | [
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The Math FOIL System, Learn to Use it RightGradeAmathHelp.comThe Math FOIL System, Learn to Use it RightGradeAmathHelp.com
The Math Foil System
You have probably heard of the math foil system... now you need to really learn what it is and how to use it.
FOIL is an acronym that stands for First Outside Inside Last.
T... | 4 | [
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if today is Tuesday, what day will it be in 129 days?
June 26th 2010, 06:31 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
if today is Tuesday, what day will it be in 129 days?
Sun=0, Mon=1,....
$2+129\equiv x \ \mbox{(mod 7)}\rightarrow 131\equiv x \ \mbox{(mod 7)}$... | 4 | [
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Solving Logarithmic Equations
March 19th 2008, 01:05 PM #1
Newbie
Joined
Mar 2008
Posts
4
Solving Logarithmic Equations
I need help trying to figure out how to solve
log (2-3x) + log (3-2x) = 1.5
logbase7(1-x) - logbase7(x+2) = logbase7(x^2)
Thank You!
Hello,
log (2-3x) + log (3-... | 4 | [
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ODE with Driac Delta Function
July 14th 2010, 02:18 PM
lvleph
ODE with Driac Delta Function
Studying for my PhD qualifying exam in PDE and came across a problem that I am unsure how to solve.
Let $t\in \mathbb{R}$ find a general solution to
$y'' - y = \delta(x)$.
So what I have so far is
$y'' -... | 5 | [
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Patent US4941114 - Triangular mesh generation method
Publication number US4941114 A
Publication type Grant
Application number US 07/169,480
Publication date Jul 10, 1990
Filing date Mar 17, 1988
Priority date Mar 26, 1987
Fee status Paid
Also published as DE3809833A1
Publication number 07169480... | 4 | [
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Spectral Approximation of Infinite-Dimensional Black-Scholes Equations with Memory
Journal of Applied Mathematics and Stochastic Analysis
Volumeย 2009ย (2009), Article IDย 782572, 37 pages
http://dx.doi.org/10.1155/2009/782572
Research Article
Spectral Approximation of Infinite-Dimensional Black-Scholes Equations wit... | 4 | [
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-... | 23,125 | 23125 | |
Learn about Indirect Measurements
Learn about Indirect Measurements In this lesson, let’s learn about indirect measurements using similar triangles. The problem given to us is as follows. A traffic signal, that’s given here, casts a
shadow that is 450 cm. long. So, this is the shadow of the traffic signal. Jim, whose h... | 4 | [
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Intersection of curves
The line y=2x- 3 intersects the curve y=x^2+x-15 at the points (a)(3,3)and(4,5) (b)(-3,-9)and(4,5) (c)(3,3)and(-4,-11) (d)(-3,-9)and(-4,-11).
bobby77 At a point of intersection: $<br /> 2x-3=x^2+x-15<br />$, so: $<br /> x^2-x-12=0<br />$ Now trying the candidates for $x$, we find that , $x=-3$ s... | 4 | [
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Intro tensors book
Sci Advisor
HW Helper
P: 9,453
What I think this comes down to is the dichotomy between calculating a quantity and understanding the meaning of that quantity. I claim that understanding allows calculation, but not vice versa.
For instance, on page 14, of his nice notes on GR, Sean Carroll give... | 4 | [
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Indentity for cos^2a clarification
January 5th 2011, 05:48 PM
laguna92651
Indentity for cos^2a clarification
I have this equation: y(t)=[A+m(t)]cos^2(wt)
I going to use the power reduction identity cos^2a=(1+cos2a)/2
I'm not sure how to handle the coefficient [A+m(t)], is a more general form of the ide... | 4 | [
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hard limit.
February 17th 2011, 06:08 AM #1
Newbie
Joined
Feb 2011
Posts
3
hard limit.
limf(x)
x--+oo
f(x)=(5^x)/(1-lnx)
i canīt solve this. i believe the answer is +00 but i would like to see the resolution step by step.
Sorry if i have posted in the wrong section.
Yeah. Itīs -oo ... | 5 | [
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Volume of a solid involving natural logs
February 20th 2009, 01:45 PM
fattydq
Volume of a solid involving natural logs
I'm trying to solve the problem I've attached as a picture. I'm having some difficulty involving the step where I get to the integral from 1 to 3 of pi times (ln(4x)^2, because I don't really
... | 5 | [
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0.061523... | 23,131 | 23131 | |
Special Right Triangles Help Needed
September 26th 2012, 05:36 PM
GeometryBeginner
Special Right Triangles Help Needed
Well I am new here but I am really stuck on one of my problems that I was assigned to for HW.
It is..
The length of an altitude of an equilateral triangle is 12 feet. Find the length o... | 4 | [
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2nd Order diffn eqn using Euler's eqn
November 18th 2006, 12:13 PM #1
Junior Member
Joined
Nov 2006
Posts
32
Need help to find the particular integral $y_p$ of a 2nd order diffn eqn using Euler's eqn $only$;
I know that there are other methods of solution. Just want to understand the principle (Euler'... | 5 | [
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0.0541... | 23,133 | 23133 | |
Wavelet-Based Color Pathological Image Watermark through Dynamically Adjusting the Embedding Intensity
Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 406349, 10 pages
http://dx.doi.org/10.1155/2012/406349
Research Article
Wavelet-Based Color Pathological Image Watermark through Dyna... | 4 | [
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0.0263671875... | 23,134 | 23134 | |
Pythagorean identities
January 26th 2010, 05:12 PM #1
Pythagorean identities
Use Pythagorean identities to write the expression as an integer.
tan^2 4β - sec^2 4β
Please help me i dont know what to do...
Last edited by purplec16; January 26th 2010 at 05:55 PM.
lol...omg i'm still lost...
... | 4 | [
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48÷2(9+3) equation
Looking at it like this though:
48 ÷ x(9 + 3) = 288
48 ÷ 9x + 3x = 288
48/12x = 288
4/x = 288
4 = 288x
4/288 = x
1/72 = x
Would suggest that 288 is wrong, and that 2 is correct.
Also, with the order of operations aren't we using the distributive property which states as an example:
Simplify 1... | 4 | [
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Cramer's Rule and Determinants
1. The problem statement, all variables and given/known data
Use Cramer's rule to solve the linear system.
2. Relevant equations
(only showing one, I think if one is explained I will figure out the rest)
2x - y = -2
x + 2y = 14
What I'm told I'm supposed to do, is to take the constants... | 4 | [
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The Radon Transforms on the Generalized Heisenberg Group
ISRN Mathematical Analysis
Volume 2014 (2014), Article ID 490601, 7 pages
http://dx.doi.org/10.1155/2014/490601
Research Article
The Radon Transforms on the Generalized Heisenberg Group
^1School of Mathematics and Information Sciences, Guangzhou University, Gu... | 5 | [
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Patent US7251611 - Method and system for determining an economically optimal dismantling of machines
FIELD OF THE INVENTION
The present invention relates to supply optimization, and more particularly, to an end-of-lease (EOL) equipment supply optimization system.
BACKGROUND OF THE INVENTION
Typically, businesses lea... | 5 | [
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0.003692626953... | 23,139 | 23139 | |
Proof of Hyperbolic Functions
morrobay
The question on the above is : How and why does ' [itex]e[/itex] ' get into the definition.
Besides the fact that it is a parameter.
i dunno where the original insight into this relationship comes from. i learned out of a textbook like anyone else.
it's sorta like this: a per... | 4 | [
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Simplifying expressions
$\frac{x+2}{2x-3}-\frac{x^2-4}{2x^2-3x}$ The problem is not simplifying correctly, somethings supposed to cross out and I'm not getting it
$\frac{x+2}{2x-3}-\frac{x^2-4}{2x^2-3x}$ Put under common denominator : $\frac{(2x^2-3x)(x+2)}{(2x-3)(2x^2-3x)}-\frac{(2x-3)(x^2-4)}{(2x-3)(2x^2-3x)}$ Expan... | 4 | [
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0.0086669921875,
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0.0751953125,
-0.0005760192871093... | 23,141 | 23141 | |
Quadratic variation of Martingales
May 1st 2011, 04:40 AM
davidmccormick
Quadratic variation of Martingales
Q: $M_t$ is an $L^2$ martingale. Show that if $\langle M,M {\rangle}_t = \langle M,M {\rangle}_a$ then $M_t = M_a$ a.s.
Here is the answer:
$E{[M_t - M_a]}^2 = E[M_t^2] - E[M_a^2] = E \langle M {... | 5 | [
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0.... | 23,142 | 23142 | |
Solving Trig eqations
December 16th 2007, 11:58 AM
Swim321
Solving Trig eqations
I have two questions:
1-How do I go about solving the equation 3cotē + 5csc =-1
(i couldn't get the angle symbol to appear)
2- I am supposed to solve this eqation (sec(x)=x-3) graphically. I can get the graph just fin... | 4 | [
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Implicit Diff Story probs
October 31st 2007, 12:45 PM #1
Member
Joined
Nov 2006
From
San Francisco
Posts
145
Implicit Diff Story probs
Sorry if this causes any trouble but could someone check my answers for these problems?: 1. A point is moving along the graph of the function so that dx/dt is 2 cm/s.... | 5 | [
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How do you distinguish between an identity and an equation?
Studiot
Good point.
Pascal is not the only language to use = as the 'assignment operator'
Tayahassen is studying computing.
You then get such programming statements as
x=x+1
Which makes sense in computing terms.
Many programming languages distinguish b... | 4 | [
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0.002380... | 23,145 | 23145 | |
Prove Closed Neighborhoods in R's Topologies
September 11th 2012, 09:03 AM #1
Junior Member
Joined
May 2012
From
NH
Posts
26
Prove Closed Neighborhoods in R's Topologies
(1) For any point p, where p is an element of R, {p} is an open-and-closed neighborhood of p in R*
R represents the real number... | 5 | [
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Divisibility (gcd) 16
$a,b \in \mathbb{Z^+} , (a,b)=1 ,$ $n \in\mathbb{N} ,$ Show that: $(\frac{a^n-b^n}{a-b},a-b)=1$ or $n$
Take $a=5$ ; $b=2$ and $n=6$ It should be $\left(\frac{a^n-b^n}{a-b},a-b\right)|n$ Now, the proof I've found is nasty We have $<br /> \tfrac{{a^n - b^n }}<br /> {{a - b}} = a^{n - 1} + a^{n - 2}... | 5 | [
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four basic/easy integrals
December 4th 2009, 12:59 AM #1
Newbie
Joined
Oct 2009
Posts
9
four basic/easy integrals
1 $\int (x^4+3)^4x^3dx$
$u = x^4+3$
$du = 4x^3dx$
$\frac{1}{4}du = x^3dx$
$\frac{1}{4}\int (u)^4 du$
$\frac{1}{4}\int \frac{1}{5}(u)^5 + c$
final answer: $\frac{... | 5 | [
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finding basis vecto space subspace
Last edited by jecowap; December 2nd 2009 at 11:44 AM. Reason: question wrong
Finding bases for S and T is easy: if the given sets are independent, then they are bases. If not, then you can solve for one (or two) of the vectors in terms of the others. For example, to see if
<(1,0,1),... | 5 | [
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can any1 explain the roots of unity to me?
April 19th 2009, 06:13 PM #1
Member
Joined
Jan 2008
Posts
175
can any1 explain the roots of unity to me?
i have my book obviously but its extremely unclear to me as to how to use the method to acquire roots other than guessing.
for example
y(8) + 8y(4)... | 4 | [
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... | 23,150 | 23150 | |
Patent US20050034538 - Method for determining inertia of an electric motor and load
CROSS-REFERENCE TO RELATED APPLICATIONS
Not Applicable
STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT
Not Applicable
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to apparatus... | 4 | [
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0.05029296... | 23,151 | 23151 | |
Trouble with some substitution.. please help!
August 16th 2012, 12:30 AM #1
Junior Member
Joined
Oct 2010
Posts
27
Trouble with some substitution.. please help!
given:
1. s= (-1/2)gt^2 + 10t + 2
and
2. v = 10 - gt
i want to eliminate the t term to give:
v^2 = 4g + 100 - 2gs
... | 4 | [
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... | 23,152 | 23152 | |
Distance between sets
December 21st 2011, 11:51 AM #1
Member
Joined
May 2010
Posts
241
Distance between sets (metric spaces)
Hi there. I was working on this problem. And I wanted to know if my demonstration is right, I'm not sure if it's complete.
The problem says: The distance D(A,B) between two n... | 4 | [
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-0.08... | 23,153 | 23153 | |
Tube lemma generalization
October 27th 2010, 01:32 AM #1
Newbie
Joined
Oct 2010
Posts
1
Tube lemma generalization
So, here's the problem:
Let A and B be compact subspaces of X and Y, respectively. Let N be an open set in X x Y containing A x B. One needs to show that there exist open sets U in X and... | 4 | [
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-... | 23,154 | 23154 | |
problem regarding volume
November 3rd 2008, 08:27 AM #1
Newbie
Joined
Nov 2007
Posts
21
problem regarding volume
The example starts as so,
a crate has a square base of width (and length) x metres and is of height h metres. The haulage company will only transport crates provided that the sum of the l... | 4 | [
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-0.... | 23,155 | 23155 | |
PDF of function of 3 continuous, uniform random variables?
Phillips101
The pdf I have for W came from a picture, not any real understanding of what I was doing.
We can do this the same way. If [tex]w\in(0,1)[/tex], then
[tex]\begin{align*}
P(W\le w) &= P(XY \le w)\\
&= E[P(XY\le w \mid Y)]\\
&= E\left[{P\left({... | 5 | [
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Menger Sponge
April 23rd 2011, 06:57 AM
dnjona
Menger Sponge
Hi,
I need to calculate the surface area of the Menger Sponge and found the following explanation online:
N = number of square faces in the sponge)
N[0] = 6
N[1] = 8N[0] + 4x6x1 (each face of original is split into 8, and also 4x6 for... | 4 | [
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Prove by Induction.
Hey,
HallsofIvy
[tex]
\sum_{i=1}^{100} \frac{1}{i(i+1}= \frac{1}{1\cdot2}} + {\frac{1}{2\cdot3}} + {\frac{1}{3\cdot4}} + . . . + {\frac{1}{99\cdot100} = (\frac{1}{1}- \frac{1}{2})+ (\frac{1}{2}-\frac{1}{3})+ (\frac{1}{3}-
\frac{1}{4})+ \cdot\cdot\cdot+ (\frac{1}{99}- \frac{1}{100})
[/tex]
The l... | 5 | [
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6 Gaussian Elimination on Dense Matrices
We begin with a brief review of Gaussian elimination, Then we show how to reorganize it for shared memory parallel machines (section 6.1) and distributed memory parallel machines (section 6.2).
To solve Ax=b, we first use Gaussian elimination to factor the nonsingular matrix A ... | 4 | [
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0.017456... | 23,159 | 23159 | |
Math Help
1. factor the expression x^3 + 8y^3 2. factor x^9 - 27y^6 3. factor 4x^2-9
1. factor the expression x^3 + 8y^3 2. factor x^9 - 27y^6 3. factor 4x^2-9 1.Well, since the first one is the sum of two cubes, you write it of the form: (a + b)(a^2 - ab + b^2). The cube root of x^3
is x because x*x*x = x^3. The cub... | 4 | [
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-0.095... | 23,160 | 23160 | |
prove that a congruence is solvable
November 14th 2009, 11:08 AM
comssa
prove that a congruence is solvable
For all primes p, show that $x^8 \equiv 16 \mbox{ (mod p)}$ is solvable.
From a theorem, the question is equivalent to showing that
$\displaystyle{16^{\frac{p-1}{(8, p-1)}} \equiv 1 \mbox{ (mod p)... | 5 | [
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-0.0825195... | 23,161 | 23161 | |
rbeezer / fcla - c6a95a7
Sage CSOC, "linearly idependent" to "linearly independent" (Jenna Fontaine)
We see that <code>A</code> has four pivot columns, numbered <code>0,1,2,4</code>. The matrix <code>B</code> is just a convenience to hold the pivot columns of <code>A</code>. However, the column spaces of <code>A</c... | 4 | [
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Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 659152, 6 pages
http://dx.doi.org/10.1155/2014/659152
Research Article
Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System
^1College of Mathematics and Inform... | 5 | [
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... | 23,163 | 23163 | |
combining fractions
November 13th 2006, 01:42 PM
demo
combining fractions
If You know how to Combine Like Fractions or know of a site where I can plug in problems and get tips and how to do them then PLEASE help me!
9) -2(c-d) + (c-d) - 6(c-d)
10) -3(4x + -2y) - 2(x+3y) -2(2x+6y)
These are two pro... | 4 | [
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... | 23,164 | 23164 | |
question on Integrals
Define $f(x)=x$ if $x$ is rational and $f(x)=0$ if $x$ is irrational. Is $f(x)$ Riemann Integrable on $[0,1]$?
the lower sum should be zero since in any subdivision, there is an irrational number. and if each subdivision is so small, then upper sum could be really small. so i think the integral i... | 5 | [
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0.08349609375,
-0.039550... | 23,165 | 23165 | |
Path-Connectedness proof
May 27th 2010, 09:10 AM #1
Member
Joined
Aug 2009
Posts
130
Path-Connectedness proof
Suppose $S = A \cup B$ is a metric space, where both A and B are path-connected. Suppose as well that A and B have a common, path-connected set, K. Is S path connected as well?
I think it is... | 5 | [
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Proving Inequality
Hello UC151CPRFirst, note that for $n\ge0, 3^n\ge1$ $\Rightarrow 2\cdot3^n\ge 2$ (1) Then suppose that $P(n)$ is the propositional function $1+2n\le 3^n$ Then $P(n) \Rightarrow 1+2n + 2 \le 3^n+2$ $\
Rightarrow 1 +2(n+1) \le 3^n + 2\cdot3^n$, using (1) $\Rightarrow 1 +2(n+1) \le 3^n(1+2)=3^{n+1}$ So ... | 4 | [
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The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 521618, 7 pages
http://dx.doi.org/10.1155/2013/521618
Research Article
The Strong Consistency of the Estimator of Fixed-Design Regression Model und... | 5 | [
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... | 23,168 | 23168 | |
Partial Fraction Decomposition.
July 27th 2010, 06:32 PM #1
Newbie
Joined
Jul 2010
Posts
23
Partial Fraction Decomposition.
I'm having trouble solving the following:
3x^2 / x^3+14x^2+65x+100
I don't know what to do with the constant 100. So far i have obtained for the denominator, x(x^2+14x+65)... | 5 | [
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Patent US6141668 - Pseudo-random number generating method and apparatus therefor
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a method of generating pseudo-random-numbers and an apparatus therefor.
2. Description of the Related Art
In order to prevent a third party from eav... | 4 | [
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logarithm question need a slight help
December 15th 2012, 04:19 AM #4
December 15th 2012, 04:10 AM #3
Member
December 15th 2012, 03:06 AM #2
December 15th 2012, 12:41 AM #1
Member
Re: logarithm question need a slight help
not really u changed the question while i took it from a very reliable source
Re: logari... | 5 | [
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PAPR Reduction of FBMC by Clipping and Its Iterative Compensation
Journal of Computer Networks and Communications
Volume 2012 (2012), Article ID 382736, 11 pages
http://dx.doi.org/10.1155/2012/382736
Research Article
PAPR Reduction of FBMC by Clipping and Its Iterative Compensation
Department of Broadband Infocommun... | 4 | [
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0.031494140625,
0.006... | 23,172 | 23172 | |
GCDs of polynomials
April 29th 2010, 07:00 PM #1
Junior Member
Joined
Jan 2010
Posts
41
GCDs of polynomials
Hi,
I'm to find the GCD of two polynomials, f(x) and g(x) in the field of integers mod 5, and then write it as a linear combination using the polynomials.
$<br /> f(x)=x^2 +2$ and $g(x)=x^3... | 5 | [
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-0.00072479248046... | 23,173 | 23173 | |
mad hatter practice problems
February 29th 2008, 05:07 PM #1
Newbie
Joined
Nov 2006
Posts
3
mad hatter practice problems
i'm going over same previous problems from the mad hatter math contest, and i need help with a few.
28. Two congruent 30-60-90 triangles are placed so that they overlap partly and ... | 4 | [
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Patent US5532943 - Particle analyzing apparatus and method therefor
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a particle analyzing apparatus and a method therefor, and more particularly to an apparatus that can express in a value to what extent the distribution data obtain... | 4 | [
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Center of a matrix group
June 25th 2011, 03:04 AM
sashikanth
Center of a matrix group
The question is for me to find the center of a group comprising of non singular square matrices of order n.
So if any member of the center is A, and G is any matrix in the group, we need AG = GA --> A = G-1 * A * G. (Where... | 5 | [
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-0.01025390625,
... | 23,176 | 23176 | |
Can anyone help to rearrange this equation??
May 8th 2012, 06:01 AM #1
Newbie
Joined
May 2012
From
Wirral
Posts
3
Can anyone help to rearrange this equation??
Hi,I'm an engineering student, trying to re-arrange an equation but struggling, my tutor can't do it either!! I'd appreciate your advice or so... | 5 | [
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0... | 23,177 | 23177 | |
Is this a proof by cases?
October 9th 2007, 04:31 AM
padsinseven
Is this a proof by cases?
Recall that a positive integer p is called prime if p is not equal to 1 and if the only positive integers which divide p are 1 and p itself. Prove that for all positive integers n, if n^3 +1 is a
prime number, then n =... | 4 | [
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linear algebra
how do i know that if A*A^-1=I then A^-1*A=I when A is a matrix
Last edited by mooshazz; October 3rd 2006 at 05:44 AM. Reason: clarification
No he is asking to prove that if a left (or right I don't recall which is which) inverse exists then it is also a right inverse. I have left it to the reader to s... | 5 | [
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... | 23,179 | 23179 | |
Inclusion - Exclusion Problem
April 14th 2010, 01:00 AM #1
Newbie
Joined
Apr 2010
Posts
13
Inclusion - Exclusion Problem
Hi.
I am having some difficulty with this inclusion-exclusion problem, and I would love some help.
************************************************** ******
Determine th... | 5 | [
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Solution of equation of form ln(a+bx) = cx
April 17th 2012, 08:52 AM
fraenzine
Solution of equation of form ln(a+bx) = cx
Hello,
I am having an exponential equation that depends on 3 different variables, which are included in the constants a, b and c....
solving this equation, I get something of the for... | 5 | [
-0.099609375,
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0.0698242... | 23,181 | 23181 | |
-Mittag-Leffler Function by
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 546062, 11 pages
http://dx.doi.org/10.1155/2012/546062
Research Article
A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations
Department of Mathematics and Computer Science, Çankaya University, 06530 A... | 5 | [
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0.0205078125,
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... | 23,182 | 23182 | |
Determination of a Control Parameter for the Difference Schrödinger Equation
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 548201, 8 pages
http://dx.doi.org/10.1155/2013/548201
Research Article
Determination of a Control Parameter for the Difference Schrödinger Equation
^1Department of Mathematics, Fa... | 5 | [
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-0.108886... | 23,183 | 23183 | |
Logical identities problem
October 12th 2010, 04:05 PM
Laban
Logical identities problem
I've just started a course in logics and set theory with no background whatsoever in this field, and for some reason I'm having problems with proving stuff with identities.
I'll try and give the first problem I'm stuck i... | 5 | [
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... | 23,184 | 23184 | |
formula transition
May 18th 2011, 03:38 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
formula transition
$\oint Bdl=\mu\int JdA+\mu\frac{{d}}{dt}\int EdA$
$\int(curlB)dA=\mu\int divJdV+\mu\frac{{d}}{dt}\int divEdV$
how to go from the above integral equation to the bottom equation
$<br /> ... | 4 | [
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0.0250244140625,
0.046875,
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0.1289062... | 23,185 | 23185 | |
An Equilibrium Model of Interbank Networks Based on Variational Inequalities
Advances in Mathematical Physics
Volume 2013 (2013), Article ID 175232, 5 pages
http://dx.doi.org/10.1155/2013/175232
Research Article
An Equilibrium Model of Interbank Networks Based on Variational Inequalities
School of Economics and Mana... | 4 | [
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Proof: if x≤y+ε for every ε>0 then x≤y
Dickfore
Suppose, [itex]x > y[/itex]. Then, take [itex]\epsilon = 2 (x - y)[/itex]. Is the first inequality satisfied?
The contrapositive is [itex]x>y \Rightarrow x>y+ε[/itex]
[itex]\epsilon = 2 (x - y)[/itex] would not work:
[itex]x>y+ε \Rightarrow x>y+2 (x - y) \Rightarrow... | 4 | [
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Patent US6330484 - Method and apparatus for fuzzy logic control with automatic tuning
BACKGROUND OF THE INVENTION
Fuzzy logic control (FLC) has been widely applied to the industrial environment in recent years. Although many of the applications are relatively small in scale, such as in washing machines,
elevators, aut... | 4 | [
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Patent US4816655 - Method and apparatus for checking the authenticity of individual-linked documents and the identity of the holders thereof
This invention relates to a method for checking the authenticity of an individual-linked document, such as credit-card, bank-card, check, access badge, etc..., as well as the iden... | 4 | [
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Help with Parametric Equation
November 25th 2008, 06:26 PM #1
Newbie
Joined
Nov 2008
Posts
1
Help with Parametric Equation
I'm an Algebra 2 student and we are learning parametric equations. I am having difficulty solving this one, although I'm good on most of the others.
Here it is:
y = 2t
... | 4 | [
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0.01318359375,
0.08447265625,
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0.0289306640625,
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-... | 23,190 | 23190 | |
A short post on countability and uncountability
There is plenty I could write about countability and uncountability, but much of what I have to say I have said already in written form, and I don’t see much reason to rewrite it. So here’s a link to
two articles on the Tricki, which, if you don’t know, is a wiki for mat... | 5 | [
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Verify Solution of Differential equation
August 29th 2011, 05:19 PM
Aquameatwad
Verify Solution of Differential equation
Hello, i didn't know whether to post this in the calculus section but since its in my differential equations book I'll start here.
The problem asks to verify the indicated function is a a... | 5 | [
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Method of Partial Fractions - simplifying by formula
December 29th 2010, 02:53 PM
wonderboy1953
Method of Partial Fractions - simplifying by formula
Consider http://www.mathhelpforum.com/math-he...a2c0c21206.png
The fraction can be broken down into http://www.mathhelpforum.com/math-he...704334880a.png + htt... | 5 | [
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Heat and Mass Transfer during Hydrogen Generation in an Array of Fuel Bars of a BWR Using a Periodic Unit Cell
Science and Technology of Nuclear Installations
Volume 2012 (2012), Article ID 878174, 10 pages
http://dx.doi.org/10.1155/2012/878174
Research Article
Heat and Mass Transfer during Hydrogen Generation in an ... | 4 | [
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-0.02... | 23,194 | 23194 | |
[Haskell-cafe] Wildly off-topic: de Boor's algorithm
Andrew Coppin andrewcoppin at btinternet.com
Thu Aug 5 16:31:51 EDT 2010
mokus at deepbondi.net wrote:
> Andrew Coppin wrote:
>
>> Given a suitable definition for Vector2 (i.e., a 2D vector with the
>> appropriate classes), it is delightfully trivial to implemen... | 4 | [
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Rings and Subrings - Dummit and Foote Chapter 7
August 30th 2012, 11:42 PM #1
Rings and Subrings - Dummit and Foote Chapter 7
I am reading Dummit and Foote on Ring Theory - ch 7
On page 228 D&F give examples of subrings
For example 2 they write
" $2 \mathbb{Z}$ is a sub-ring of $\mathbb{Z}$ as is $... | 5 | [
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-0.01... | 23,196 | 23196 | |
Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping
International Journal of Differential Equations
Volume 2013 (2013), Article ID 874196, 8 pages
http://dx.doi.org/10.1155/2013/874196
Research Article
Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping
Departamento de Matemáticas... | 4 | [
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Inequalities with absolute values and fractions
November 2nd 2009, 08:51 AM #1
Newbie
Joined
Oct 2009
Posts
11
Inequalities with absolute values and fractions
hi,
I am facing a couple of issues with two inequalities, would appreciate help here.
1) |2x + 3| ≤ 3x − 5
the first case would be ... | 4 | [
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Curvature of implicit equation
January 4th 2013, 08:56 AM #1
Newbie
Joined
Dec 2012
From
UK
Posts
11
Curvature of implicit equation
Hi,
I need to find the curvature k of y=sqrt(R^2 - x^2)
I know k = |f''| / (1 + f' ^2) ^1.5
But I think I have gone somewhere with my differentiation as I... | 5 | [
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