content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Laplace Transform of Integral
October 6th 2009, 05:23 PM
dsprice
Laplace Transform of Integral
Find f(t) if L(f) = 5/[s**2 - 5s]
From this, I can see components of cosh(SQRT(5)t), but the answer in the back of the book is cosh(SQRT(5)t) - 1.
Just not quite seeing how to get there. If anyone can provide... | 5 | [
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-... | 23,200 | 23200 | |
Math Help
January 27th 2007, 01:11 PM #1
Hey MathForum,
Im not sure if this is for this section.
The field strength of a magnet (H) at a point on the axis, distance $x$ from its centre, is given by
$H = \frac{M}{2l} \left\{ \frac{1}{(x-l)^2} - \frac{1}{(x+l)^2}\right\}$
where 2l = length of ma... | 5 | [
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-0... | 23,201 | 23201 | |
Limits problems without #'s
August 14th 2007, 11:44 AM #1
Newbie
Joined
Aug 2007
Posts
11
Limits problems without #'s
Does this problem make anyones else's eyes bug out?
If f(x) = 1/(√x) find lim [f(x+h)-f(x)]/ h
h->0
b. If the above limit represents a slope function for the line tangent t... | 5 | [
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-0.0... | 23,202 | 23202 | |
Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 531859, 19 pages
http://dx.doi.org/10.1155/2013/531859
Research Article
Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimizati... | 4 | [
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Basis for eigenspace!
Find a basis for the eigenspace corresponding to the eigenvalue λ=2 of the matrix A = http://www.cramster.com/Answer-Board...1948056924.gif
Well assume a vector $[x, y, z]^{T}$ to be the eigenvector corresponding. By definition the eigenspace is the span of the eigenvector. So $|A - 2I| = 0 \Righ... | 5 | [
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... | 23,204 | 23204 | |
explicit extention of Lipschitz function (Kirszbraun theorem)
up vote 3 down vote favorite
1
Kirszbraun theorem states that if $U$ is a subset of some Hilbert space $H_1$, and $H_2$ is another Hilbert space, and $f : U \to H_2$ is a Lipschitz-continuous map, then $f$ can be extended to a
Lipschitz function on the whol... | 4 | [
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Math Help
Hi how can i simplify 3a^3b multiplied by 4(ab)^2. Also how can i factorise x^2-4 and x^2-5x+6 Thank you
first one. Rules of indices maybe? do you know them ? difference of two square ? factoring quads ? have you never done a question like these before ?
$3a^3b \times 4a^2b^2$ $=12a^5b^3$ (Constants are mu... | 4 | [
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Directional derivative
July 18th 2011, 12:14 PM #1
Member
Joined
May 2010
Posts
241
Directional derivative
Hi there. I have to find the directional derivative for: $\sqrt{|xy|}$ at the point $P_0(0,0)$ in the direction of $\vec{u}\left (5/13,12/13 \right )$.
The thing is that the derivatives for thi... | 5 | [
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position vectors
August 17th 2007, 05:08 AM #1
Newbie
Joined
Aug 2007
Posts
22
position vectors
how do i tackle these :
1A)
Consider the following position vectors, v=i-j and w=j-2k
find i) the angle between the above vectors
ii) a vector which perpendicular on both vectors
b) Let z... | 5 | [
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Integration by parts, quick question
June 17th 2013, 08:18 AM
Brennox
Integration by parts, quick question
So i understand this question mostly, i dont understand where they got the (1+4) from? and shouldnt there be a negative in front of the last part on the 2nd line.
cheers
June 17th 2013, 10:19 AM
ebai... | 5 | [
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Homoclinic Solutions for a Class of Second Order Nonautonomous Singular Hamiltonian Systems
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 829052, 8 pages
http://dx.doi.org/10.1155/2014/829052
Research Article
Homoclinic Solutions for a Class of Second Order Nonautonomous Singular Hamiltonian Systems
^... | 5 | [
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vectors
please explain: collinearity proving collinearity for the high school level
Quote: Originally Posted by ligekron Collinearity is refering to position of points in line. Given points are collinear if line contains all of them. If line doesn't contain all of them then they are
non-collinear.
Hello, ligekron! Qu... | 4 | [
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question in metric topology
January 7th 2011, 07:29 PM #1
Junior Member
Joined
Dec 2009
Posts
28
question in metric topology
Let (X,d) be a metric space, Given a closed subset Y of X and a point x in X. Show that d(x,Y) is continuous as a function of x. that is f(x)=d(x,Y) is continuous
Show also th... | 4 | [
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Nontotient Number
November 30th 2008, 12:20 PM #1
Nontotient Number
A nontotient number $n \in \mathbb{N}$ is a number such that there is no $x \in \mathbb{N}$ where $\phi(x) = n$.
The smallest such number is 14.
My question is how would one prove whether a number is nontotient or not?
I disagree. ... | 4 | [
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Bayes classifier using Parzen windows
June 1st 2011, 03:30 PM #1
Newbie
Joined
Jun 2011
Posts
4
Bayes classifier using Parzen windows
Hello, I have to make a project where I have 2 given classes of data (males, females) which are described by 2 variables (height, weight). What I have to do is build a bay... | 4 | [
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Statecharts for Gene Network Modeling
Abstract
State diagrams (stategraphs) are suitable for describing the behavior of dynamic systems. However, when they are used to model large and complex systems, determining the states and transitions among
them can be overwhelming, due to their flat, unstratified structure. In t... | 4 | [
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Work, energy, power?
May 6th 2009, 09:48 PM
fardeen_gen
Work, energy, power?
A body of mass $m$ slides down a plane inclined at an angle $\alpha$. The coefficient of friction is $\mu$. Find rate at which kinetic plus gravitational potential energy is dissipated at any
time $t$.
January 27th 2010, 11:35 AM
... | 5 | [
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Vector space over the rationals
andytoh
I want to believe you, but I don't see it (yet).
C = the finite subsets of B (the B^(<w))
Let g: B -> C. Claim: g cannot be surjective.
Let K={b in B| b does not belong to g(b)}. If g is surjective, let g(x) = K. Then x belongs to K iff k does not belong to g(k)=K, a contrad... | 4 | [
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Implicit differentiation.
November 3rd 2013, 10:17 PM #1
Member
Joined
May 2011
Posts
133
Thanks
2
Implicit differentiation.
I am being asked to find $\frac{dy}{dx}$ by implicit differentiation of the function $y=x^{1/n}$. I'm really not sure where to begin yet with this problem. I watched a few vide... | 5 | [
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Dealing with Dimensions
This HTML version of is provided for convenience, but it is not the best format for the book. In particular, some of the symbols are not rendered correctly.
You might prefer to read the PDF version.
Chapter 15 Dealing with Dimensions
15.1 Belly button bacteria
Belly Button Biodiversity 2.0... | 4 | [
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Examination of a Theoretical Model of Streaming Potential Coupling Coefficient
International Journal of Geophysics
Volume 2014 (2014), Article ID 471819, 12 pages
http://dx.doi.org/10.1155/2014/471819
Research Article
Examination of a Theoretical Model of Streaming Potential Coupling Coefficient
Van der Waals-Zeeman... | 4 | [
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Dynamical Behavior of a Rumor Transmission Model with Psychological Effect in Emergency Event
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 282394, 9 pages
http://dx.doi.org/10.1155/2013/282394
Research Article
Dynamical Behavior of a Rumor Transmission Model with Psychological Effect in Emergency Even... | 4 | [
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... | 23,221 | 23221 | |
Patente US6944540 - Time determination in satellite positioning system receivers and methods therefor
FIELD OF THE INVENTIONS
The present inventions relate generally to satellite positioning system receivers, and more particularly to time determination in satellite positioning system receivers, for example in Global
P... | 4 | [
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The area of a triangle within a triangle
April 10th 2008, 05:01 AM
Dirtyeagle
The area of a triangle within a triangle
I've been confronted by what seems to be a very difficult geometry problem.
The questions asks how much smaller triangle DEF is from triangle ABC. Lines are constructed on each side at the ... | 5 | [
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[Haskell-cafe] Induction (help!)
Daniel Fischer daniel.is.fischer at web.de
Tue May 6 18:51:25 EDT 2008
Am Dienstag, 6. Mai 2008 23:34 schrieb PR Stanley:
> After you grok induction over the naturals, you can start to think
> about structural induction, which is usually what we use in
> programming. They are related... | 4 | [
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Trigonometric equations
August 23rd 2008, 08:00 AM #1
Trigonometric equations
In my book following result is shown but don't know where it come from.
1.2cos^2(2kpie)=2 (where k is an integer)
2.cos(kpie)=(-1)^k
3.[sin(kpie)cos(theta)-cos(kpie)sin(theta)]=[(-1)^k-1 sin(theta)]
In all these cases I ... | 5 | [
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Combinatorics problem - rescursion
October 18th 2009, 02:24 PM #1
Newbie
Joined
Oct 2009
Posts
8
Combinatorics problem - rescursion
Hey everyone, first post! I have been stuck on this problem for a very long time and can't see to make any headway.
For n>=1, let h_n be the number of ways to express n... | 4 | [
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Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 280925, 7 pages
http://dx.doi.org/10.1155/2013/280925
Research Article
Dynamic Properties of the Solow Model with Increasing or Decreasing Population... | 5 | [
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0.005157470703125,
0.004425048828125,
-0.05224609375,
-0.01025390625,
-0.093261... | 23,227 | 23227 | |
What is the sum of the digits of the positive integer n
Author Message
TAGS:
What is the sum of the digits of the positive integer n [#permalink] 04 Nov 2010, 07:24
4... | 4 | [
-0.005218505859375,
0.04931640625,
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-0.022216796875,
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0.06494140625,
0.1103515625,
0.051513671875,
-0.00872802734375,
-0.038330078125,
-0.0419921875,
0.0091552734375,
0.046630859375,
-0.0303955078125,
-0.0810546875,
-0.0135498046875,
0.00848388671875,... | 23,228 | 23228 | |
Brevet US4786890 - Method and apparatus for implementing a PRML code
CROSS REFERENCE TO RELATED APPLICATION
The present invention is related to application Ser. No. 855,641 entitled "Method and Apparatus for Implementing Optimum PRML Codes" filed Apr. 24, 1986 by J. S. Eggengerger et al, and assigned to
the assignee o... | 4 | [
-0.05322265625,
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-0.103515625,
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-0.0203857421875,
0.020751953125,
0.05... | 23,229 | 23229 | |
Math Help
January 31st 2008, 06:40 AM #1
Divergence
Prove that $div \vec{e}=0$ if $e=\frac{\vec{r}}{r^3}$
1. $div\vec{e}=div\frac{\vec{r}}{r^3}$
2. $=(grad\frac{1}{r^3})\vec{r} + \frac{1}{r^3}div\vec{r}$
3. $=-3\vec{r}\frac{1}{r^4}grad{\vec{r}}+\frac{1}{r^3}3$
Here are the first three steps of ... | 4 | [
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0.06787109375,
-0.0255126953125,
-0.04736328125,
-0.08984375,
... | 23,230 | 23230 | |
Math Help
March 8th 2009, 04:08 AM #1
algebra
1) Jack cycles home from work, a distance of 10x km. Benny leaves at the same time and
drives the 40x km to his home.
A. If Jack and Benny arrive at their homes 30 minutes apart
i. find x, correct to three decimal places
ii. find the distance from wor... | 4 | [
0.04541015625,
0.07373046875,
-0.010498046875,
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0.049560546875,
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0.004547119140625,
0.0458984375,
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0.05419921875,
0.068359375,
0.016357421875,
0.0301513671875,
-0.02783203125,
0.02648925781... | 23,231 | 23231 | |
Math Help
Find the solutions of x and n in this equation.( x^2+615=2^n)
Solving for x... \displaystyle \begin{align*} x^2 + 615 &= 2^n \\ x^2 &= 2^n - 615 \\ x &= \pm \sqrt{2^n - 615} \end{align*} Solving for n... \displaystyle \begin{align*} 2^n &= x^2 + 615 \\ n &= \
log_2{\left(x^2 + 615\right)} \end{align*}
No, ... | 5 | [
-0.08984375,
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0.0078125,
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-0.0240478515625,
0.014404296875,
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0.01556396484375,
0.01708984375,
0.0296630859375,
-0.0308837890625,
-0.056152... | 23,232 | 23232 | |
generating function of Pn(x)
April 16th 2012, 12:04 AM #1
Newbie
Joined
Mar 2012
From
UK
Posts
23
Thanks
1
generating function of Pn(x)
hey guys,
my lecturer skipped the proof to show that $\frac{1}{\sqrt{1+u^2 -2xu}}$ is a generating function of the polynomials,
he told us that we sh... | 5 | [
-0.06201171875,
-0.043701171875,
0.0179443359375,
0.09130859375,
-0.03173828125,
-0.01611328125,
0.033203125,
-0.07666015625,
0.037109375,
-0.00787353515625,
0.01708984375,
-0.01513671875,
-0.017578125,
0.022216796875,
-0.08447265625,
-0.048828125,
0.01513671875,
-0.1318359375,
0... | 23,233 | 23233 | |
F2 binary field
September 26th 2010, 07:29 AM
Suy
F2 binary field
A system of m equations over F2 in n unknowns has exactly 2^(n−m) solutions. • A. True • B. False?
answer is false
I don't understand why
please also explain the relationship between power of 2 and F2 binary field
thx!
September ... | 5 | [
0.005126953125,
0.05126953125,
-0.08203125,
0.10205078125,
0.056884765625,
-0.046142578125,
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-0.0020904541015625,
0.039794921875,
0.06494140625,
-0.0172119140625,
-0.0341796875,
0.0703125,
-0.052001953125,
0.0203857421875,
0.1416015625,
-0.126953125,
-0.0010147094... | 23,234 | 23234 | |
Group of symmetries on a regular polygon
Here is how to think of it.
1)Draw a regular polygon with vertices 1,2,...,n in order.
2)The question is how many ways can the polygon be replaced by rigid motions, i.e. with vertices still in order. Now for any one of the n locatations there are n choices. Having chosen that t... | 4 | [
0.01519775390625,
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-0.00823974609375,
... | 23,235 | 23235 | |
help me to correct my exercise on nested quantifier
June 26th 2007, 10:03 AM #1
Member
Joined
Jun 2007
Posts
117
help me to correct my exercise on nested quantifier
Let F(x,y) be the statement "x can fool y", where the domain consists of all people in the world. Use quantifiers to express each of these s... | 5 | [
0.002716064453125,
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-0.05493... | 23,236 | 23236 | |
Euler problems/101 to 110
From HaskellWiki
< Euler problems
(Difference between revisions)
m m
← Older edit
Line 279: ... | 5 | [
-0.0286865234375,
0.00714111328125,
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Development of Galerkin Method for Solving the Generalized Burger's-Huxley Equation
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 165492, 9 pages
http://dx.doi.org/10.1155/2013/165492
Research Article
Development of Galerkin Method for Solving the Generalized Burger's-Huxley Equation
^1Departme... | 5 | [
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-0.0230712890625,... | 23,238 | 23238 | |
Help with Calc problem....
May 15th 2008, 01:19 PM
CALsunshine
Help with Calc problem....
alright...so here I am trying to figure out a step in my Calculus problem, and I somehow need to go from sec(squared)[pi/4] = (Square root 2)(squared) = 2.....could anyone explain this?
May 15th 2008, 01:23 PM
Moo
He... | 4 | [
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0.00970458984375,
0.0703125,
-0.01757812... | 23,239 | 23239 | |
Center of Mass
February 21st 2010, 06:32 PM #1
Junior Member
Joined
Jan 2010
Posts
36
Center of Mass
Here is the question:
A solid is formed by rotating the region bounded by the curve
To find the moment, I did:
$\int_0^1 x dx$ = $\frac {1} {2}$
As density was constant, I divided the ... | 4 | [
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-0.047119140625,
-0.00267028808... | 23,240 | 23240 | |
Undifined limit problem
March 12th 2010, 10:40 PM #1
Junior Member
Joined
Sep 2008
Posts
64
Thanks
4
Undifined limit problem
Hey, i have this question i can't figure out.
It's
Use the identity (a-b)(a+b)=a^2-b^2 and the arithmetic of limits to evaluate
lim root(4+5x) - 5/
x approache... | 5 | [
-0.04443359375,
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0.078125,
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0.032958984375,
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0.12255859375,
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0.08740234375,
-0.04345703125,
-0.03247... | 23,241 | 23241 | |
Frequency Table Standard Deviation
December 11th 2009, 03:16 PM #1
Newbie
Joined
May 2009
Posts
22
Frequency Table Standard Deviation
Okay I need help. I'm studying for a test, and I keep trying to do this problem over and overrr.
This is the table.
Classes ---- Frequency
10-13 ---- 1
1... | 4 | [
0.031494140625,
-0.0037078857421875,
0.031005859375,
0.0034332275390625,
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0.0390625,
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0.0286865234375,
-0.028564453125,
-0.0222167968... | 23,242 | 23242 | |
Simplifying polynominals
July 5th 2013, 08:35 PM #1
Newbie
Joined
Jul 2013
From
WA
Posts
14
Thanks
1
Simplifying polynominals
Hi all, I've gone through the 'read before' threads so I hope this is in the right section and that I've typed it out ok, I'm still working with pen and paper here
Ba... | 4 | [
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0.018310546875,
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0.046142578125,
-0.042236328125,
... | 23,243 | 23243 | |
Math Help
April 25th 2013, 07:44 AM #1
Newbie
Joined
May 2011
Posts
2
(AB) = (BA)^t
Hello,
This may be a long shot, but does anyone know anything that can be said of square matrices A and B with the property above? A and B are block components of a larger matrix that I'm trying to find
the dete... | 5 | [
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0.02099609375,
0.09521484375,
0.0198974609375,
0.050537... | 23,244 | 23244 | |
minimum sign question
September 15th 2011, 06:53 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
minimum sign question
$f(x)=x^{4}+(sinx)e^{-x^{2}}$
prove that if $x_{0}$ is the minimum point
then $f(x_{0})<0$
hint: look at f(0) and f'(0).
how i tried to solve it.
f(0)=0 f'(0)=1
... | 5 | [
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0.05859375,
0.045166015625,
0.028076171875,
-0.004241943359375,
0.038085937... | 23,245 | 23245 | |
Patent US6215909 - Method and system for improved digital video data processing using 4-point discrete cosine transforms
BACKGROUND OF THE INVENTION
The present invention relates generally to methods and apparatus for data compression and decompression, and in particular, is directed to methods and systems for perform... | 4 | [
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0.032470703125,
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-0.0234375,
0.0849609375... | 23,246 | 23246 | |
Trigonometric Word Problems involving Vectors, Magnitude, and Direction!
November 21st 2009, 06:05 AM
mdebourg
Trigonometric Word Problems involving Vectors, Magnitude, and Direction!
Hi all, I have recently asked about a couple problems involving law of sines/cosines and I understand those now thanks to the hel... | 4 | [
-0.015869140625,
0.05322265625,
-0.060546875,
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0.00958251953125,
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0.061279296875,
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0.08935546875,
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0.0299072265625,
0.006195068359375,
-0.01226806640625,
-0.0908203125,
0.01... | 23,247 | 23247 | |
y''=sin(2x) find and experssion
get confused with the wordy ones.......do I integrate this twice, then add coordinate values ? many thanks
You do integrate twice. In the process of so doing, you should obtain two arbitrary constants of integration. If you plug in those two points (which, incidentally, can be done whil... | 5 | [
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Showing ab=ba finite order n
October 3rd 2011, 08:28 PM
tangibleLime
Showing ab=ba finite order n
I'm not quite sure what this question is asking.
Problem: Let a and b be elements of a group G. Show that if ab has finite order n, then ba also has order n.
It is my understanding that the order of group ... | 4 | [
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0.06884765625,
-0.0186767578125,
... | 23,249 | 23249 | |
Linear Transformation Problem...
March 20th 2007, 03:21 PM
ruprotein
Linear Transformation Problem...
JUst need someone to showme how to do this then it will defintly clarify the rest of the problems for me.. one of the few examples is
1- Show there exists a linear transofrmation T: R2→R3 such that T(1,1) =... | 5 | [
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-0.04638671875,
-0.044921875,
-0.05... | 23,250 | 23250 | |
Half Angle Formulas
March 17th 2010, 05:56 AM #1
Half Angle Formulas
$tan \frac{3\pi}{8}$
Use $tan 2\theta$ to find the exact value
Im stuck because I dont know which half-angle formula do I use?
Last edited by purplec16; March 17th 2010 at 06:34 AM.
If 3π/8 = θ, then 3π/4 = 2θ
Now tan(2θ)... | 4 | [
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0.09375,
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-0.005859375,
-0.... | 23,251 | 23251 | |
Need help finding the derivative of y = ln(x^2 + y^2)
May 27th 2010, 06:56 PM #1
Newbie
Joined
May 2010
Posts
4
Need help finding the derivative of y = ln(x^2 + y^2)
I know I need to use implicit differentiation.... but I can't seem to solve for y' when y = ln(x^2 + y^2)
Last edited by mr fantastic;... | 5 | [
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0.000885009765625,
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0.0242919921875,
-0.08544921875,
0.0148925... | 23,252 | 23252 | |
Finite-Time Stability and Stabilization of Itô-Type Stochastic Singular Systems
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 263045, 10 pages
http://dx.doi.org/10.1155/2014/263045
Research Article
Finite-Time Stability and Stabilization of Itô-Type Stochastic Singular Systems
^1School of Electrical E... | 4 | [
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0.10791015625,
0.01055908203125,
-0.068359375,
-0.11865234375,
0.10205078125,
0.0076904296875,
... | 23,253 | 23253 | |
Moment of Inertia
I took the concept of a parallel axis shift and didn't require it to be parallel.
DoubleIntegral from -r_y to(L_y-r_y) and -r_x to (L_x - r_x) of ((x-r_x)^2+(y-r_y)^2)dm
For dm I used Mdxdy/(L_x)(L_y)
Clarifying, x and y are my variables, L_x is the x length of my object, and L_y is the length in th... | 4 | [
0.041259765625,
-0.07861328125,
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0.0169677734375,
-0.0108642578125,
0.048828125,
0.10205078125,
-0.07080078125,
0.0791015625... | 23,254 | 23254 | |
tricky problem please HELP
November 27th 2006, 12:37 PM
me_maths
tricky problem please HELP [SOLVED]
I've tried to solve this problem for over 3 or 4 hours but I can't figure out how, please help me.
Ok so it's a curve ( parable? ) y = (ax - b) / ( 1 - x^2 )
You are supposed to solve what 'a' and 'b' s... | 5 | [
-0.03759765625,
0.04248046875,
-0.0244140625,
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-0.01080322265625,
0.087890625,
0.0206298828125,
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0.07958984375,
0.07421875,
-0.05419921875,
0.043212890625,
0.0240478515625,
-0.027587890625,
0.09619140625,
-0.1005859375,
-0.0849609375,
... | 23,255 | 23255 | |
Limit Comparison Series
July 24th 2013, 07:08 PM
minneola24
Limit Comparison Series
So if I compare it to 1/n that new comparison diverges.
But 1/n is bigger than the original function so I cant conclude that the original diverges too.
If I divide the original by the 1/n and take the limit as n-> infin... | 5 | [
-0.02490234375,
-0.049560546875,
0.02392578125,
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0.0257568359375,
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0.0634765625,
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0.10107421875,
-0.007110595... | 23,256 | 23256 | |
can u solve this... Residue Classes
August 15th 2006, 10:48 PM
earlkaize
can u solve this... Residue Classes
can you help me prove this one
Given m > 0. there are exactly m distinct residue classes modulo m, namely,
[0],[1],[2],...,[m-1]. :)
thank you in advance!
God bless you!
August 16th 20... | 5 | [
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Patent US5899966 - Speech decoding method and apparatus to control the reproduction speed by changing the number of transform coefficients
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to a method and apparatus for decoding an encoded signal obtained by orthogonal-transforming an input ... | 4 | [
-0.1015625,
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0.05517578125,
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0.035888671875,
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-0.0224609375,
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-0.0693359375,
0.002105712890625,
0.13671875,
... | 23,258 | 23258 | |
Reverse Engineering of Bacterial Chemotaxis Pathway via Frequency Domain Analysis
Abstract
Chemotaxis is defined as a behavior involving organisms sensing attractants or repellents and leading towards or away from them. Therefore, it is possible to reengineer chemotaxis network to control
the movement of bacteria to o... | 4 | [
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0.06396484375,
0.05615234375,
-0.0274658203125,
-0.033203125,
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0.0712890625,
-0.0159912109375,
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-0.005157470703125,
0.0115966796875,
0.0644531... | 23,259 | 23259 | |
Data help! Basic Probability!
April 21st 2010, 03:50 PM #1
Newbie
Joined
Apr 2010
Posts
2
Data help! Basic Probability!
1) The weekly demand for laser printer cartridges at Office Oasis is normally distributed with a mean of 350 cartridges and a standard deviation of 10 cartridges. There store has a poli... | 5 | [
0.068359375,
0.039794921875,
0.05078125,
-0.0380859375,
-0.01544189453125,
0.0064697265625,
0.0020294189453125,
0.043212890625,
-0.134765625,
0.02783203125,
0.0927734375,
0.01361083984375,
0.004302978515625,
0.006591796875,
0.0113525390625,
0.00555419921875,
0.0291748046875,
-0.067... | 23,260 | 23260 | |
Fibbonacci and Lucas Number
May 19th 2007, 06:09 PM
Scorpion
Fibbonacci and Lucas Number
Ok. I have made a list of the first 30 lucas and fibbonacci number, and the products they make.
I now need to find a relationship between the products and the fibonacci numbers. I know thats a bit vague but that is what... | 5 | [
-0.1318359375,
-0.0272216796875,
-0.051025390625,
-0.057861328125,
-0.01202392578125,
0.05712890625,
0.00811767578125,
0.10693359375,
-0.0103759765625,
0.00830078125,
0.04638671875,
-0.0286865234375,
-0.022705078125,
0.037841796875,
-0.06787109375,
0.033447265625,
-0.1142578125,
-0... | 23,261 | 23261 | |
The Speed of Range Shifts in Fragmented Landscapes
Abstract
Species may be driven extinct by climate change, unless their populations are able to shift fast enough to track regions of suitable climate. Shifting will be faster as the proportion of suitable
habitat in the landscape increases. However, it is not known ho... | 4 | [
0.0216064453125,
-0.0279541015625,
0.1044921875,
0.0228271484375,
0.056396484375,
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0.05712890625,
0.01043701171875,
0.0272216796875,
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0.01611328125,
-0.003143310546875,
0.0322265625,
0.031005859375,
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0.05... | 23,262 | 23262 | |
Can someone check my Trig (Trig Form and Demoive's Theorm
April 20th 2006, 02:34 PM #1
Junior Member
Joined
Sep 2005
Posts
62
Can someone check my Trig (Trig Form and Demoive's Theorm
Hi can someone check this to see if it's correct.
Trig Form
(4-3i) into Trig form
r= Sqrt (4^2+(-3)^2
... | 5 | [
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0.0966796875,
0.049072265625,
-0.04296875,
-0.048583984375,
0.006164550781... | 23,263 | 23263 | |
Mechanics stuck on a sum on simple harmonic motion:help:
December 29th 2008, 11:53 AM #1
Mechanics stuck on a sum on simple harmonic motion:help:
A particle P is moving on a straight line with S.H.M. of period pi/3 s. Its maximum speed is 5 m/s. Calculate the amplitude of the motion and the speed of P 0.2s after ... | 5 | [
-0.04443359375,
-0.01043701171875,
0.052490234375,
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0.0390625,
0.080078125,
0.07177734375,
0.049560546875,
0.006195068359375,
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-0.0830078125,
-0.0255126953125,
0.07470703125,
-0.04443359375,
0.007... | 23,264 | 23264 | |
college mechanics
August 8th 2008, 10:53 AM #1
Newbie
Joined
Aug 2008
Posts
4
college mechanics
A particle of mass 2kg moves in the xy plane under the action of a force F where F = 2i-6j
initially, the particle is at the point whose position vector is i+j with a velocity vector i-j
find the posit... | 5 | [
-0.044189453125,
-0.0390625,
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0.037841796875,
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0.130859375,
0.10107421875,
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0.09619140625,
-0.00909423828125,
-0.032470703125,
0.0... | 23,265 | 23265 | |
Exponents on polynomials
May 22nd 2010, 03:26 AM #1
Newbie
Joined
May 2010
Posts
22
I'm having trouble with this problem.
The only way I can get the answer the book gives is to illegally remove the exponent of 1/2 from the 1st term.
Problem: (2x+1)^(1/2) + (x+3)(2x+1)^(-1/2)
my attempt:
... | 4 | [
0.027587890625,
-0.050048828125,
0.050537109375,
0.07275390625,
0.032958984375,
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0.048095703125,
0.076171875,
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0.057861328125,
-0.04150390625,
0.03369140625,
... | 23,266 | 23266 | |
Optimization [Derivatives]
July 14th 2010, 08:37 AM #1
Newbie
Joined
Jul 2010
Posts
13
Optimization [Derivatives]
What is the largest rectangle that can be inscribed in the first quadrant of the ellipse
I let x and y equal 0 to find the intercepts, but that does not lead to the solution.
1. Dra... | 5 | [
0.06689453125,
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0.005126953125,
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0.006561279296875,
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0.07373046875,
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0.046875,
0.0458984375,
0.04833984375,
0.006561279296875,
0.06640625,
0.006866455078125,
0.154296875,
0.04052734375,
-0.0003604888916... | 23,267 | 23267 | |
Patent US4493965 - Method and apparatus for predicting and controlling the quality of a resistance spot weld
This invention relates to a method and apparatus for analysis of a resistance spot weld and more particularly for the prediction of weld quality and optionally controlling weld quality.
To assure the integrity ... | 4 | [
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0.052978515625,
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0.1494140625,
0.01416015625,
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0.0021820068359375,
0.01531982421875,
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-0.0174560546875,
-0.016357421875,
-0.00... | 23,268 | 23268 | |
polynomial, eigenvalues and eigenvectors
April 17th 2009, 12:00 PM #1
Banned
Joined
Jan 2009
Posts
58
polynomial, eigenvalues and eigenvectors
How do I find the characteristic polynomial, eigenvalues, and eigenvectors of the following matrix:
$<br /> \begin{pmatrix}2 & -2 & 3\\0 & 3 & -2\\0 & -1 & 2\... | 5 | [
-0.07666015625,
0.016357421875,
-0.03857421875,
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0.00732421875,
-0.006103515625,
-0.01239013671875,
-0.033935546875,
-0.01446533203125,
0.01129150390625,
0.10986328125,
-0.10205078125,
0.0390625,
-0.039306640625,
0.04638671875,
-0.01104736328125,
-0.0166015625,
-0.1... | 23,269 | 23269 | |
Sum of 2 squares
June 8th 2010, 12:49 PM #1
Sum of 2 squares
Sorry before I tell you the question here was the question that led to this question.
Show that (m^2+1)(n^2+1)=(m+n)^2+(mn-1)^2
Done that successfully.
Using this results, write 500050 as the sum of 2 square numbers.
I have no idea h... | 4 | [
0.01904296875,
0.09130859375,
0.04638671875,
0.046875,
0.019775390625,
0.0380859375,
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0.0079345703125,
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0.09765625,
0.0240478515625,
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-0.0191650390625,
0.060302734375,
0.013732910... | 23,270 | 23270 | |
coordinate geometry--locus
April 14th 2013, 07:16 AM #1
Member
Joined
Apr 2013
From
Mahinog
Posts
78
Thanks
5
coordinate geometry--locus
2 points A and B are moving on the x-axis and y-axis separately. AB=20 units. Find the equation of the locus P where P is the midpoint of AB.
Re: coordinate ge... | 4 | [
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0.0267333984375,
0.0203857421875,
0.08984375,
-0.07275390625,
-0.0006179809570... | 23,271 | 23271 | |
Integral problem
November 1st 2010, 07:37 AM #1
Junior Member
Joined
Sep 2010
Posts
33
Integral problem
I am trying to solve the integral:
$\int\frac{tan{^2}(x)}{1 + 2tan{^2}x} dx$
This is what I did:
$u = tan(x)$
$x = arctan(u)$
$dx = (1+u^2) du$
So that the integral is:
... | 5 | [
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0.0032196044921875,
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0.057861328125,
-0.031494140625,
-0... | 23,272 | 23272 | |
Law of Total Probability
February 4th 2010, 01:23 AM
aaronrj
Law of Total Probability
A small brewery has three bottling machines. Machine A produces 40% of all the bottles, machines B and C produce 30% each. Five percent of bottles filled by A, four percent of bottles filled by
B, and three percent of bottl... | 4 | [
0.0238037109375,
0.042724609375,
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0.06396484375,
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... | 23,273 | 23273 | |
Physics Forums - View Single Post - Energy Eigenstates
Well just apply the Hamiltonian onto the state psi. this state is the sum of three phi-terms. So each phi-state yields :
[tex]H \phi_1 = E_1 \phi_1[/tex]
[tex]2H \phi_2 = 2E_2 \phi_2[/tex]
[tex]3H \phi_3 = 3E_3 \phi_3[/tex]
Just add up everything and you get :
[... | 4 | [
-0.049072265625,
0.0033111572265625,
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0.030517578125,
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0.0234375,
0.0301513671875,
-0.06787109375,
0.00067... | 23,274 | 23274 | |
Margin of Error
May 20th 2010, 03:32 PM #1
Newbie
Joined
May 2010
Posts
6
Margin of Error
I've been agonizing over this problem involving a sample mean and margin of error. I feel like the sample size I got as my answer is too small?
Question is:
How large a sample is needed to estimate a popul... | 5 | [
0.1123046875,
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0.049560546875,
-0.0... | 23,275 | 23275 | |
DIFFERENTIAL EQUATIONS -Can you help me ?
February 9th 2009, 06:22 AM #1
Newbie
Joined
Oct 2008
Posts
19
Verify that y = sinxcosx - cosx is a solution of the initial-value problem y' + (tanx)y= cos^2x , y(0) = -1 on the interval - - П/2 < x< П/2
Hi. I'm new to differential equations; however, I think... | 5 | [
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0.0556640625,
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-0.047607421875,
0.035400390625,
0.0... | 23,276 | 23276 | |
2nd Order differential equation using laplace
April 12th 2008, 05:38 AM #1
Newbie
Joined
Apr 2008
Posts
4
2nd Order differential equation using laplace
Banging my head against a wall so some help would be appreciated. I've drilled a second order differential using laplace down to:
8/(2s^2+6s+4.5).
... | 5 | [
-0.10302734375,
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0.030029296875,
0.0294189453125,
-... | 23,277 | 23277 | |
Cauchy Criterion
March 15th 2009, 10:24 PM #1
Member
Joined
Oct 2008
Posts
156
Cauchy Criterion
Theorem. If $f$ is Riemann integrable then its Riemann sums satisfy the Cauchy Criterion for the existence of the integral.
Cauchy Criterion: For every $\epsilon >0$, there exists $\delta >0$ such that if... | 4 | [
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0.01202392578125,
-0.01287841796875,
... | 23,278 | 23278 | |
Finding the angle measure of a triangle
July 22nd 2011, 08:31 AM
dannyc
Finding the angle measure of a triangle
In triangle AXZ, angle XAZ measures 80, segment XY bisects angle AXZ, and ZY bisects AZX. What is the measure of angle XYZ?
The answer should be 130 but I don't see how to obtain it.
July 22nd 20... | 4 | [
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0.01031494140625,
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0.0859375,
0.041748046875,
-0.0302734375,
-0.026123046875,
0.00765991... | 23,279 | 23279 | |
Finding expectation through conditioning
July 27th 2011, 08:24 PM #1
Senior Member
Joined
Oct 2009
Posts
295
Thanks
9
Finding expectation through conditioning
A coin, having probability p of coming up heads is successively flipped until at least one head and one tail have been flipped.
(a)Find th... | 5 | [
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0.036376953125,
-0.0224609375,
-0.11... | 23,280 | 23280 | |
A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 853476, 10 pages
http://dx.doi.org/10.1155/2013/853476
Research Article
A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables
Department of Mathema... | 5 | [
-0.056884765625,
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0.0625,
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0.04833984375,
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0.068359375,
0.003875732421875,
-0.0366210937... | 23,281 | 23281 | |
Simple Probability Problems
October 7th 2012, 07:04 AM
jegues
Simple Probability Problems
P1) You and your friend will play the following game. You will take turns rolling a fair six-sided die. You will roll first. As soon as one player rolls a 6, the game is over and that player
wins. What is the probabilit... | 5 | [
-0.0162353515625,
0.058837890625,
-0.009033203125,
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-0.044921875,
0.040283203125,
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0.0267333984375,
-0.0303955078125,
0.07666015625,
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0.0252685546875,
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-0.0242919921875,
-0.00164031982421875,
0.03076171875,
-0.04541015625,
... | 23,282 | 23282 | |
Magnetic dipole moment
thenewbosco
where [tex]\int dA = volume of sphere = \frac{4}{3}\pi r^3[/tex]
This is the difference.
I think that we can obtain a circle by intersecting a plan and the sphere. There are many many diffrential rings on the circle, each has area
[tex] r^2 sin^2 \phi \pi [/tex]
A bigger ring wil... | 4 | [
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Guidance Stabilization of Satellites Using the Geomagnetic Field
International Journal of Aerospace Engineering
Volume 2012 (2012), Article ID 231935, 9 pages
http://dx.doi.org/10.1155/2012/231935
Research Article
Guidance Stabilization of Satellites Using the Geomagnetic Field
^1Center for Research and Development ... | 4 | [
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Physics Forums - Infinite Dimensional Vector Space
jimmypoopins Sep10-08 11:14 PM
Infinite Dimensional Vector Space
1. The problem statement, all variables and given/known data
Prove that V is infinite dimensional if and only if there is a sequence v_1, v_2,... of vectors in V such that (v_1,...,v_n) is linearly i... | 4 | [
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... | 23,285 | 23285 | |
Simplifying matrices
The question:
Given that A, B and C are invertible n x n matrices, simplify
$A^2(B^{-1}CA)^{-1}B^{-1}C^T$
My attempt:
First I expanded $A^2$ to $AA$:
$AA(B^{-1}CA)^{-1}B^{-1}C^T$
Then I found the inverse of the matricies within the parenthesis:
$AAA^{-1}C^{-1}BB^... | 5 | [
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0.03564453125,
0.054443... | 23,286 | 23286 | |
Help with the Binomial Theorem
June 24th 2008, 04:07 AM #1
Newbie
Joined
May 2008
Posts
8
I am somewhat confused.
Some text books refer to the following as the "General Form"
math]
(a+b)^n=\sum_{k=0}^{n}\binom{n}{k}a^{n-k}b^k
[/tex]
and others reverse the a^n and b^n-k
math]
... | 4 | [
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[SOLVED] How to calculate PI
Hi Every bdy please how to PI that equal 3.14
CaptainBlank post is not ideal because it is speaking how to find a fraction. --- The way mathematicians did it is by an infinite series of an integral. If you are familar with some Calculus, the
curve $\sqrt{r^2-x^2}$ is a circle with radius $... | 5 | [
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2 Trigonometric Equations 2 Unkowns
January 10th 2011, 12:48 PM
RainmanTrail
2 Trigonometric Equations 2 Unkowns
I can't remember how to solve these. Any help? I tried using Euler's formula, no avail.
sin(x)+sin(y) = 0.90154195
cos(x)+cos(y) = 1.64483049
Solve for x & y:
January 10th 2011, 01:02 P... | 4 | [
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... | 23,289 | 23289 | |
sup of the sum of functions
March 29th 2011, 03:12 PM #1
Junior Member
Joined
Mar 2011
Posts
49
sup of the sum of functions
Let $f,g:A\to\mathbb R$ be bounded above, then $f+g$ is bounded above and $\sup(f+g)\le \sup f+\sup g.$
Okay, I think there's no much to do here, we have $f\le \sup f$ and $g\l... | 4 | [
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Find limit using taylor series
April 9th 2009, 06:35 AM #1
Newbie
Joined
Apr 2009
Posts
6
Find limit using taylor series
I am supposed to find the limit as x -> 0 of (e^(x^2) - 1 - x^2) / (x sinx - x^2).
I do not know if my process or answer is at all correct, but here is what I have done:
I fo... | 5 | [
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-0.0... | 23,291 | 23291 | |
Basic Dimension of a set of points question
April 3rd 2012, 05:57 AM
Perfection
Basic Dimension of a set of points question
This is the start of my course and this topic is kind of glossed over in an 'you should already know this' way, but I want to make sure I understand it.
In 3D space, what is the dimens... | 4 | [
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Real Numbers - Real Anaylsis
September 3rd 2008, 10:20 AM #1
Junior Member
Joined
Feb 2008
Posts
48
Real Numbers - Real Anaylsis
Show that if $a,b$$\in$$\Re$, and $a$$eq$$b$, then there exist $\epsilon$-neighborhoods $U$ of $a$ and $V$ of $b$ such that $U$$\cap$$V$ = $\emptyset$
Let $\varepsilon = \... | 4 | [
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... | 23,293 | 23293 | |
Integration problem?
June 3rd 2009, 02:49 PM
Rainy2Day
Integration problem?
This problem is a hw problem that I have to do, but I really don't know how to start it. It would be GREATLY appreciated if anyone could simplify it and explain to me how to find the answer in
small steps.
A baseball thrown at 1... | 4 | [
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help with exponential distribution question
January 6th 2013, 04:55 AM #1
Newbie
Joined
Jan 2013
From
london
Posts
16
help with exponential distribution question
The lifetime of a certain component may be modelled by the exponential distribution with a probability density function f(t) = lambda * e^(... | 5 | [
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Force: two pulley problem with 3 masses
1. The problem statement, all variables and given/known data
A 0.840- kg glider on a level air track is joined by strings to two hanging masses. As seen in the figure, the mass on the left is 4.85 kg and the one on the right is 3.62 kg The strings have
negligible mass and pass ov... | 4 | [
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-0.0... | 23,296 | 23296 | |
Determining slope of third line
October 10th 2013, 03:15 PM #1
Newbie
Joined
May 2013
From
Canada
Posts
22
Determining slope of third line
Hi, Here's an interesting problem:
I have 2 lines with slopes and y-intercepts.
I have a third line with just a y-intercept and I need to determine it'... | 4 | [
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0.00... | 23,297 | 23297 | |
Laplace’s equation inside a semi-infinite strip
Hio
Hello everyone,
can anyone help me with solving Laplace’s equation inside a semi-infinite strip.
Is there specific steps to follow. I'm gonna give an example and I will be really grateful
if someone explains to me.
Solve Laplace’s equation ∇2u = 0 inside a semi-in... | 5 | [
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Math Help
Could anyone solve this: lim (x -> o) ((1-cos3x) / 7x^2) Thanks!
Consider $\lim_{u \to 0} \frac{{1 - \cos u}}<br /> {{u^2 }} = \frac{1}<br /> {2}.$ Substitute $u=3x,$ $\lim_{x \to 0} \frac{{1 - \cos 3x}}<br /> {{9x^2 }} = \frac{1}<br /> {2}.$ Multiply both sides
by $\frac97$ to get the answer.
Hello, clapa... | 5 | [
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