content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Integrating a series and finding its sum
October 31st 2012, 05:59 AM
MathIsOhSoHard
Integrating a series and finding its sum
Given:
$\sum^{\infty}_{n=1}\frac{n}{2^{n-1}}x^{n-1}$
Radius of convergence is 2.
Defined as a function:
$f(x)=\sum^{\infty}_{n=1}\frac{n}{2^{n-1}}x^{n-1}$
$x\in]-2,2[... | 5 | [
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0.030029296875,
-0.1240234375... | 18,900 | 18900 | |
Series question
March 10th 2010, 06:51 PM #1
Junior Member
Joined
Sep 2009
Posts
32
Series question
Hi
The question given is
Prove by mathematical induction that
$\frac{1}{3} + \frac{2}{3^2} + \frac{3}{3^3} + \frac{n}{3^n} = \frac{1}{4}(3-\frac{2n + 3}{3^n})$
I've spent quite a bit of ... | 5 | [
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Does Gradient of Fugacity Create Entropy?
P: 789
I approach it in a less general but maybe more understandable way. Suppose you have a thermally isolated cylinder with a boundary of some sort separating it into two systems. The boundary holds
negligible extensive parameters (energy, entropy, volume, particles). On the... | 4 | [
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-0.... | 18,902 | 18902 | |
Another simplify trig. problem.
February 18th 2009, 01:42 PM #1
Newbie
Joined
Feb 2009
Posts
11
Another simplify trig. problem.
Okay, now I'm new to this forum so should I make a topic for separate questions or just bump up my old one with a new post?
Anywho, it's rather simple but I want to verify ... | 4 | [
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... | 18,903 | 18903 | |
Physics Forums - Flux: Surface integral of a sphere.
Flux: Surface integral of a sphere.
1. The problem statement, all variables and given/known data
Find the surface integral of [tex]\vec{r}[/tex] over a surface of a sphere of radius a and center at the origin. Also find the volume integral of [tex]\nabla[/tex] [t... | 4 | [
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trigonometric integrals
Hello homerbThis is very innocent looking, but is a bit of a brute. Here's my solution - there may be an easier one. Note first that $\frac{d}{dx}(\tan x) = \sec^2 x, \frac{d}{dx}(\sec x) = \sec x\
tan x$ and $\sec^2x = 1 + \tan^2x$ Let $I = \int \sec^5x\,dx$ $= \int \sec^3x \sec^2x\,dx$ $= \sec... | 5 | [
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... | 18,905 | 18905 | |
Recurrence relation
November 16th 2008, 05:53 AM
cyb3r
Recurrence relation
The problem:
Define the recurrence relation $H(n)$ by the rules :
$H(0) = 3 , H(1) = -3, H(n) = 2H(n-1) - H(n-2) + 6$ for $n>=2$. Calculate $H(6)$. Prove by induction that $H(n)$ is divisible by 3 for all $n$ (n - positive intege... | 5 | [
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Differrentiate this function
October 15th 2010, 09:45 AM
Redeemer_Pie
Differrentiate this function
Hi all, just stuck with a simple equation at the moment and dont really know how to solve it. Hope you guys could assist me! Thanks.
The function is given as:
y= 1/C (1 - e^(-C(z - x))
what is the an... | 5 | [
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... | 18,907 | 18907 | |
Math Help
July 12th 2009, 09:48 PM #1
Senior Member
Joined
Jul 2009
From
Singapore
Posts
338
Find A
Show that $secA+tanA=tan(\frac{\pi}{4}+\frac{A}{2})$ and deduce a similar expression for $secA-tanA$
Hence find the surd form of the values of $tan\frac{7\pi}{12}$ and $tan\frac{\pi}{12}$
i ha... | 4 | [
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verbal problem
March 25th 2010, 10:49 AM #1
Newbie
Joined
Feb 2010
Posts
12
How do I make an equation for this? I always have trouble with these
Jose has a total of 28 dimes and quarters altogether. The total value of the coins is $4.15. How many quarters does Jose have?
Let x be the number of d... | 4 | [
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Math Help
January 9th 2008, 02:17 PM #1
Rings
1. $R = \{ a +bi : a,b \in Z \}$
is a subring of a ring $C$ (complex)
Find an element of R different from the identity element which has a multiplicative inverse in R.
2. Let R,S be rings and suppose $f:R \rightarrow S$ is a ring homomorphism. Suppose ... | 5 | [
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urgent optimisation - finding the maximum
February 10th 2009, 01:11 AM #1
Newbie
Joined
Feb 2009
Posts
2
urgent optimisation - finding the maximum
Hi, I am stuck on part of the question:
G(t) = -0.04t^3 + 0.9t^2 + 30 predicts your grade out of 100% on the next calculus test when you study t hours du... | 4 | [
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Definable subset
January 4th 2013, 02:31 AM #1
Newbie
Joined
Oct 2007
From
Moldova
Posts
15
Definable subset
The set of all $n$-tuples $(b_1,\,b_2,\,\dots,\,b_n)\in(U_M)^n$ for which $M\models\varphi(b_1,\,b_2,\,\dots,\,b_n)$ is called a definable subset of $M.$ The set $U_M$ is the universe of
s... | 4 | [
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Electric Field Due to a Charged Disk
jrz5036
1. The problem statement, all variables and given/known data
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk,
at a point P... | 4 | [
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Patent US5247541 - Automatic equalizer for a data transmission channel
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an automatic equalizer provided on a data transmission channel for regenerating an original waveform from digital data and, more particularly, to an automatic
e... | 4 | [
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... | 18,914 | 18914 | |
Extreme Value Theorem
February 11th 2009, 10:32 PM
toop
Extreme Value Theorem
Let S be the set of all points inside of the triangle whose vertices are
$(-2,0), (0,2), (2,0).$
Find the minimum and maximum values of the function
$f(x,y) = x^2 + 3y^2 - 4xy + x - y +1$
The equations for the sides... | 5 | [
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differential equations problem
October 3rd 2009, 11:52 AM
morganfor
differential equations problem
I haven't dealt with differential equations in a while so I completely forget how to do this problem.
Given dx/dt=y and dy/dt=x
Verify that f(t)=Ce^t+De^-t and g(t)=Ce^t - De^-t give a solution to the sys... | 4 | [
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Trig derivatives
October 9th 2007, 10:55 PM #16
MHF Contributor
Joined
Apr 2005
Posts
1,631
ok so I think this is using chain rule again but i'm stuck at simplifying
y= ((1+cosx)/(sinx))^(-1)
i'm at
-1 (1+cosx/sinx) ^(-2) times (-sinx^2 - cos x +cos x^2)/sinx^2
and also
y=sec^(2) ... | 5 | [
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WolframAlpha guide on electrical engineering
Introduction:
WolframAlpha is a freely available computational engine that can supplement already existing software such as mathematica, maple, mathlab, or excel. The purpose of this mini-guide is to go over some
of its functionality with emphasis on electrical engineering.... | 5 | [
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Patent US20050278405 - Fourier transform processor
CROSS REFERENCE TO RELATED APPLICATION
This application claims the benefit of U.S. Provisional Application No. 60/559,927, filed Apr. 5, 2004, which is incorporated by reference as if fully set forth.
FIELD OF INVENTION
The present invention is related to Fourier tr... | 4 | [
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Prove Matrices are symmetric
January 28th 2009, 04:35 PM #1
Junior Member
Joined
Aug 2008
Posts
33
Prove Matrices are symmetric
I don't know how to prove this if and only if statement.
Let A & B be symmetric matrices.
Show AB is symmetric if and only if AB=BA.
Any help is much appreciated!
... | 4 | [
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Galoisian sets of prime numbers
up vote 44 down vote favorite
38
The question is about characterising the sets $S(K)$ of primes which split completely in a given galoisian extension $K|\mathbb{Q}$. Do recent results such as Serre's modularity conjecture (as proved
by Khare-Wintenberger), or certain cases of the Fontai... | 4 | [
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Rules of Indices - Mathematics
Rules of Indices
An indice is a number with a power; for example a^m; a is called the base and m is the power. The power is also often referred to as the “index” or “exponent”.
Indices rules only apply when the base is the same for all terms. This is very important to remember.
Below i... | 4 | [
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Patent US6269132 - Windowing function for maintaining orthogonality of channels in the reception of OFDM symbols
BACKGROUND OF THE INVENTION
The invention relates generally to broadband transmission of information. More specifically, the invention relates to improving data transfer over OFDM channels in the presence o... | 4 | [
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Following are some DS questions with typical traps, good for
Author Message
TAGS:
Following are some DS questions with typical traps, good for [#... | 4 | [
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Patent US7623442 - Signaling method in an OFDM multiple access system
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is a divisional of U.S. patent application Ser. No. 09/805,887, filed on Mar. 15, 2001 now U.S. Pat. No. 7,295,509 and titled “SIGNALING METHOD IN AN OFDM MULTIPLE ACCESS SYSTEM,”
which claims... | 4 | [
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simaltaneous equations
Ok, sello, We'll do this by the 'elimination' method. The idea is to eliminate one of the variables by making them additive inverses of each other and then adding the equations together. We'll
multiply the first equation by 2 and add it to the second equation. This will eliminate the y variable s... | 4 | [
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0.... | 18,926 | 18926 | |
High School Math and Chess
Several odds and ends:
1. I've updated the Sage Cheat sheet for version 6.2; correcting errors, typos, and any deprecated commands. You can find it on the Python/Sage page (at the top).
2. The OP/ED page of the NY Times has letters related to the common core article mentioned in a previous... | 5 | [
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0.1005859375,
0.008544921875,
-0.0019683837890625,
-0.01092529296875,
0.0771484375,
0.021728515625,
... | 18,927 | 18927 | |
Optimisation with PSD and rank constraints
October 20th 2011, 03:55 AM #1
Newbie
Joined
Apr 2009
Posts
21
Optimisation with PSD and rank constraints
I have the following optimisation problem:
$\begin{array}{ll}\min_M & E(M) = \sum_i f_i(\mathbf a_i^T M \mathbf a_i)\\ \text{s.t.} & M \succeq 0\\&\mat... | 4 | [
0.003631591796875,
-0.05029296875,
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0.0966796875,
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0.03173828125,
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0.050048828125,
0.078125,
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-0.043212890625,
0.08251953125,
0.07861328125,
0.0150146484375,
... | 18,928 | 18928 | |
Complex Integration
September 23rd 2009, 05:35 AM #1
Complex Integration
Hey guys, I was wondering if any of you could show me how I would go about using complex integration to show that:
$\int_{0}^{\infty}x^2/(1+x^4)dx = \pi /(2 \sqrt2)$
Thanks.
Consider the contour integral over the upper half-di... | 5 | [
-0.0028533935546875,
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0.0595703125,
0... | 18,929 | 18929 | |
Units problem with my Hamilton's equations
1. The problem statement, all variables and given/known data
Let the Hamiltonian with canonical variables be [itex]H(q,p)=\frac{\alpha ^3 e^{2\alpha q }}{p^3}[/itex] where alpha is a constant.
1)Given the generating function [itex]F(q,Q)=\frac{e^{2\alpha q }}{Q}[/itex], find t... | 4 | [
-0.0654296875,
0.08447265625,
0.0068359375,
0.017333984375,
-0.033203125,
0.12158203125,
0.0693359375,
-0.0302734375,
0.049072265625,
0.0035247802734375,
0.07666015625,
-0.0703125,
-0.00933837890625,
0.041748046875,
0.01470947265625,
-0.00830078125,
-0.12158203125,
0.02099609375,
... | 18,930 | 18930 | |
solving for delta, formal limit definition
January 28th 2009, 09:34 AM
edudlive
solving for delta, formal limit definition
We started on this in class today and my professor gave no more than a quick glance at how to solve and possible questions that would arise when trying to complete the homework.
When gr... | 4 | [
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0.05615234375,
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0.0634765625,
0.03271484375,
0.01165771484375,
-0.0205078125,
-0.09033... | 18,931 | 18931 | |
Order Among the Numbers
April 26th 2009, 09:09 PM
noles2188
Order Among the Numbers
1) Prove if x < y, then it is false that y < x; if x > y, then it is false that y > x.
2) Prove if x < y and z is a number, then x-z < y-z.
April 26th 2009, 09:53 PM
Jhevon
Assume x < y, and assume to the contrary tha... | 4 | [
-0.08740234375,
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0.033203125,
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0.01904296875,
0.0322265625,
-0.01165771484375,
-0.03466796875,
-0.0268... | 18,932 | 18932 | |
Calculate the amount of heat added to the ideal monatomic gas
Tab Caps
I think my problem is coming from not understanding the difference between dT and [itex]\Delta[/itex]T, or dQ and [itex]\Delta[/itex] Q. I actually know Δ is just the change (final-initial), and the
derivative is the infinitesimal rate of change,... | 4 | [
0.0076904296875,
0.00009822845458984375,
0.03564453125,
-0.007049560546875,
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0.06201171875,
0.0732421875,
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0.01300048828125,
0.0294189453125,
0.015380859375,
-0.0419921875,
-0.046142578125,... | 18,933 | 18933 | |
Best fit the measured data
November 14th 2007, 05:29 AM #1
Newbie
Joined
Nov 2007
Posts
7
Best fit the measured data
Estimate X and Y which best fit the following set of equations:
X*Y=Z
in which
X: n by 1 comlumn vector (unknown)
Y: 1 by 1 unknown constant
Z: n by 1 measured column v... | 4 | [
-0.07177734375,
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-0.0201416015625,
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0.0308837890625,
-0.037353515625,
0.06640625,
0.01165771484375,
-0.0... | 18,934 | 18934 | |
Solving for x in a sinusoidal function
October 14th 2013, 10:06 AM #1
Newbie
Joined
Oct 2013
From
Canada
Posts
3
Solving for x in a sinusoidal function
Hello,
I have a homework question that asks to solve for x (which is time in seconds) in the sinusoidal function: y=4sin45x + 5, where y = 1
... | 4 | [
-0.07080078125,
-0.006103515625,
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0.03466796875,
-0.0186767578125,
... | 18,935 | 18935 | |
How to find the order of SL(2,4)?
February 22nd 2009, 07:07 AM #1
Member
Joined
Feb 2009
Posts
103
How to find the order of SL(2,4)?
How do you find the order of a special linear group? For example, how do you find order of SL(2,4)? I think the answer's 60 but really would like a proof. How do you find t... | 5 | [
-0.059814453125,
0.049072265625,
0.038818359375,
-0.0216064453125,
-0.08447265625,
0.034912109375,
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-0.076171875,
0.07421875,
-0.0576171875,
0.07373046875,
0.0810546875,
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-0.06982421875,
0.054931640625,
-0.060546875,
-0.03173828125,
-0.08... | 18,936 | 18936 | |
99 questions/Solutions/31
From HaskellWiki
< 99 questions | Solutions
(Difference between revisions)
Drb226 (Talk | contribs)
m (replace symbols with code)
← Older edit
... | 5 | [
-0.01806640625,
0.10400390625,
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0.03662109375,
0.062255859375,
-0.1162109375,
0.078125,
-0.04443359375,
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0.007049560546875,
-0.033203125,
-0.04248046875,
0.034423828125,
-0.0194091796875,
-0.0490... | 18,937 | 18937 | |
If 2^x - 2^(x-2) = 3*2^13, what is the value of x?
Author Message
TAGS:
If 2^x - 2^(x-2) = 3*2^13, what is the value of x? [#permalink] 14 Nov 2010, 13:34
2
... | 4 | [
0.005096435546875,
0.04296875,
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0.0390625,
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0.018798828125,
0.047119140625,
0.038818359375,
-0.054443359375,
-0.12353515625,
... | 18,938 | 18938 | |
Generic Extensions and $L(V_{\lambda+1})$
up vote 11 down vote favorite
3
Suppose $\lambda$ is a strong limit cardinal of cofinality $\omega$ and for $A$ a transitive set, define $L(A)$ in the usual fashion by setting $$L_0(A)=A;$$ $$L_{\alpha+1}(A) = L_\alpha (A)\cup \
mathcal P_{Def}(L_\alpha(A));$$ $$L(A)=\bigcup_{... | 4 | [
-0.0004596710205078125,
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0.020263671875,
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-0.0595703125,
0.033447265625,
0.009033203125,
0.0230712890625,
-0.0419921875,
... | 18,939 | 18939 | |
Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation
Advances in Mathematical Physics
Volume 2013 (2013), Article ID 282390, 5 pages
http://dx.doi.org/10.1155/2013/282390
Research Article
Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation
Department of ... | 5 | [
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... | 18,940 | 18940 | |
Trigonometric equation
Solve the equation: $(\sin x+\cos x)\cdot \sin {2x}=\sqrt{2}$.Or if you like the equivavalent: $\sin x\cos x\cdot(\sin x+\cos x)=\frac{\sqrt{2}}2$.
Last edited by james_bond; December 30th 2008 at 02:45 AM.
Dear james_bond, or if you like the equivavalent: $[(1/\sqrt{2})sin(x)+(1/\sqrt{2})cos(x... | 4 | [
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0.07568359375,
0.01361083984375,
0.0223388671875,
... | 18,941 | 18941 | |
Equations::::
September 6th 2013, 03:59 PM #1
Newbie
Joined
Feb 2013
From
Saudi Arabia
Posts
8
Equations::::
i am having this problem and i couldn't prove that the left side equals the right side
i don't know what exactly that i am missing !!
Re: Equations::::
Step one is to recognize that ... | 4 | [
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0.0030975341796875,
-0.055419921875,
-0.0339... | 18,942 | 18942 | |
Question on trigo?
December 24th 2012, 07:34 AM
Tutu
Question on trigo?
Hi I really have no idea which catergory this question falls into, especially so when I don't even know how to start off the question..
If Person A is 20Km north of Person B at 5pm. Person A walks south at a rate of 7Km/h and Person B w... | 4 | [
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0.03564453125,
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0.0478515625,
-0.03271484375,
0.000297546386... | 18,943 | 18943 | |
A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 428079, 9 pages
http://dx.doi.org/10.1155/2013/428079
Research Article
A General Iteration Formula of VIM for Fractional Heat- and Wave-Like Equations
Department of So... | 5 | [
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0.0634765625,
0.00118255615234375,
0.019165039062... | 18,944 | 18944 | |
Convert to Exact diff eq
September 20th 2011, 10:24 PM #1
Junior Member
Joined
Sep 2010
Posts
26
Convert to Exact diff eq
I start with the equation:
(-xysinx +2ycosx)dx +(2xcosx)dy with the integrating factor given u(x,y)=xy
after multiplying by u I get:
(-x^2 * y^2 * sinx +2xy^2 * cosx) +(2x... | 5 | [
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0.023681640625,
0.01... | 18,945 | 18945 | |
trigonometrical qn
October 4th 2008, 05:45 AM
maybeline9216
trigonometrical qn
Given that cot q=-t, t>0 and 0° ≤q≤180° , find, in terms of t,
(a) cosec q
(b) tan(-q)
(c) sin(90°-q )
for(b) is it -(-1/t) = -(1/-t) ?? im kinda confused....
also can anyone tell me how to derive the following ... | 4 | [
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-0.040771484375,
-0.0361328125,
-0.01892... | 18,946 | 18946 | |
Find the fallacy of the proof
February 15th 2010, 05:00 AM #1
Junior Member
Joined
Sep 2008
Posts
47
Find the fallacy of the proof
Discover the fallacy in the following “proof”: 45 = 60
Proof : Construct an equilateral triangle ABC. On side AB construct an isosceles right triangle ADB with AB as the ... | 4 | [
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0.006591796875,
-0.08056640625,
0.0002126693725585937... | 18,947 | 18947 | |
[SOLVED] Problem from a section on Bezout's Identity
February 18th 2010, 04:53 PM #1
Junior Member
Joined
Mar 2009
From
Madison, WI
Posts
42
[SOLVED] Problem from a section on Bezout's Identity
Find all solutions: 561x + 909y = 81
Not just looking for answers, I don't understand the procedure. A... | 4 | [
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-0.019775390625,
0.03369140625,
-0.033203125,
-0.00555419921875,
-0.... | 18,948 | 18948 | |
sqrt limit question..
February 13th 2009, 03:58 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
sqrt limit question..
i need to solve this limit
$<br /> \lim_{x->\infty}\left ( \sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}\right)<br />$
i tried
$<br /> \lim_{x->\infty}\left ( \sqrt{x+\sqrt{x+\sqrt{x}... | 5 | [
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-0.00048065185546875,
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0.064453125,
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Patent US8027242 - Signal coding and decoding based on spectral dynamics
CLAIM OF PRIORITY UNDER 35 U.S.C §119
The present application for patent claims priority to U.S. Provisional Application No. 60/729,044, entitled “Signal Coding and Decoding Based on Spectral Dynamics,” filed on Oct. 21, 2005, and
assigned to the... | 4 | [
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0.040283203125,
... | 18,950 | 18950 | |
Complex number
Outrageous
Find (2+6i)^(1/3). Then we need to let z=a+bi, then z^3....... Then we will get a=? And b=?
Why we can do z=a+bi assumption? Any prove show what we assume is correct and how do we know the answer come out is correct?
I'm not sure what you mean by "z= a+ bi assumption". Typically that is NO... | 4 | [
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0.02294921875,
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0.07861328125,
-0.03955078125,
-0.103515625,
0.0810546875,
-0.1040039... | 18,951 | 18951 | |
Parametric Equations
┌─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐
│ A curve in the plane is said to be parameterized if the set of coordinates on the curve, (x,y), a... | 5 | [
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0.0235595703125,
-0.0615234375,
-0.... | 18,952 | 18952 | |
How to give combinatorial proofs
March 19th 2010, 08:23 AM #1
Junior Member
Joined
Nov 2009
Posts
38
How to give combinatorial proofs
I'm trying to make a combotorial proof of this:
${2 \choose 2} + {3 \choose 2} + {4 \choose 2} + ... + {n-1 \choose 2} = {n \choose 3}$
I've proved this using al... | 4 | [
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-0.056884765625,
0.035888671875,
0.06103515625,
0.037353515625,
-0.025... | 18,953 | 18953 | |
Implicit differentation
February 25th 2009, 02:20 PM #1
Junior Member
Joined
Feb 2009
Posts
38
Implicit differentation
Need help using implicit differentiation on equation:
3xy^2 + y^3 = 8
x^2/16 + 3y^2/13 = 1
I just do not know how to start it at all
Product rule does come into it wi... | 5 | [
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0.0634765625,
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0... | 18,954 | 18954 | |
The Effect of Uncertainty in the Excitation on the Vibration Input Power to a Structure
Advances in Acoustics and Vibration
Volume 2013 (2013), Article ID 478389, 18 pages
http://dx.doi.org/10.1155/2013/478389
Research Article
The Effect of Uncertainty in the Excitation on the Vibration Input Power to a Structure
^1... | 4 | [
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Laurent series z0=infinity
November 12th 2011, 09:40 AM #1
Member
Joined
May 2010
Posts
241
Laurent series z0=infinity
Hi there. I have to find the Laurent series for $\frac{1}{z-2},z_0=\infty$
So what I did was calling $z=\frac{1}{\omega}$, I don't know if this is right.
Then:
$f(\omega)=... | 5 | [
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One integral (square root and gaussian peak)
tookan
Hi - I don't suppose that anyone figured this out yet? Been giving me a hard time for a while now - I can't see how the transformation to polar helps - still left with a gaussian and square root
product in the integrand.
Do you mean that you took this as a challen... | 4 | [
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How to partially differential this equation?
October 8th 2010, 10:57 PM #1
Newbie
Joined
Oct 2010
Posts
1
How to partially differential this equation?
I just wonder how can I do (step by step) partially differentiating $g_u(\vec x)$ with $\vec x$ where $\vec x = \vec 0$
Noted:
□ The displacem... | 5 | [
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2 Proof Questions
December 30th 2006, 08:49 PM #1
Junior Member
Joined
Dec 2006
Posts
48
2 Proof Questions
Anyone got a step by step approach to solve this, it aint that hard just checkin my work
Prove (There exists a real number x)(For all real numbers y)(4+6y-y^2<x)
and the 2nd one is
Pr... | 5 | [
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0.0634765625,
0.0201416015... | 18,959 | 18959 | |
An introduction to smoothing time series in python. Part II: wiener filter and smoothing splines
Wiener filter
The wiener filter is a bit more advanced than the filters I previously covered, as it is the first one rooted in probability theory. Consider a more complicated measurement, $y = r*s + n$, where $R$
is an op... | 4 | [
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... | 18,960 | 18960 | |
Integers
January 5th 2013, 11:07 AM
fsiwaju
Integers
Hello,
I am trying to solve this problem:
If j and k are integers and j - k is even, which of the following must be even?
a) k
b) jk
c) j + 2k
d) jk + j
e) jk - 2j
According to the booklet the answer is d, however how would ... | 4 | [
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0.05078... | 18,961 | 18961 | |
Patent US5737345 - Method for arithmetic decoding
BACKGROUND INFORMATION
U.S. Pat. No. 5,025,258 describes a method for arithmetic decoding, in which there is a change in the distribution density function of the transmitted data during transmission. For this purpose, an
adaptive probability estimate, that is to say an... | 4 | [
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0.079589843... | 18,962 | 18962 | |
Patent US20030046038 - EM algorithm for convolutive independent component analysis (CICA)
FIELD OF THE INVENTION
[0001] The present invention generally relates to blind source separation. More particularly, it relates to the blind separation of convolutive mixtures of mutually independent white sources.
BACKGROUND OF... | 4 | [
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Inertial Balance Lab
Measuring Mass without a Scale: The Inertial Balance
Purpose:
To use an inertial balance to measure mass. First, you will "calibrate" the balance using known masses, then use the balance to find the mass of "unknown" objects... | 4 | [
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Specific gravity, gas mixture density,
Specific gravity, gas mixture density, specific volume, pressure levels
The density is the mass of substance per unit of volume.
where is: ρ - density; m - mass; V - volume.
The unit of density is kilogram per cubic meter [kg/m^3] in SI system of units and used symbol is ρ . A... | 4 | [
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... | 18,965 | 18965 | |
Sitting n married couples on a round table
I took a second look, sorry.
lizzyb
hence we have: P(C_i) = 2/(2n - 1). The book gives an answer of 2/(2n + 1). What am I doing wrong?
You are doing nothing wrong. The book is what is wrong. The answer is 2/(2n-1) (n>1).
Consider one member of the couple in question. If ... | 5 | [
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0... | 18,966 | 18966 | |
Patent US3783258 - Fft processor utilizing variable length shift registers
lJited States Patent [191 Chwastyk FF T PROCESSOR UTILIZING VARIABLE LENGTH SHIFT REGISTERS Inventor: Adolph M. Chwastyk, Silver Spring,
The United States of America as represented by the Secretary of the Navy, Washington, DC.
Filed: Nov. 3, 1... | 4 | [
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0.03564... | 18,967 | 18967 | |
Race running
October 3rd 2011, 06:30 AM #1
Newbie
Joined
Oct 2011
Posts
3
Race running
Sneha,Shilpa,Sushma join a running race.The distance is 1500 metres.
Sneha beats Shilpa by 30 metres and Sushma by 100 metres.By how much
could Shilpa beat Sushma over the full distance if they both ran as
... | 4 | [
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0.004486083984375,
... | 18,968 | 18968 | |
Related rates of change
October 7th 2008, 09:14 PM
notamaths_geniuszz
Related rates of change
Hi there, I am asked this scenario:
The sides of an equilateral triangle are decreasing at a rate of da/dt=-(root6) cm. Find the rate of change of:
a) The area of the triangle
b) The height
I have dra... | 4 | [
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Patent US6556086 - Fractional-N synthesizer and method of synchronization of the output phase
RELATED APPLICATIONS
This application claims priority of U.S. Provisional Application No. 60/294,773, filed on May 31, 2001, entitled FRACTIONAL-N SYNTHESIZER WITH SYNCHRONIZED OUTPUT PHASE.
FIELD OF THE INVENTION
This inve... | 4 | [
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... | 18,970 | 18970 | |
Solving Algebraically - Simultaneous equations.
May 14th 2009, 11:39 AM
BabyMilo
Solving Algebraically - Simultaneous equations.
Solve Algebraically - These Simultaneous equations. Here is what I've done so far, please correct me if i'm wrong as always.
Quote:
x^2+(3x-2)(3x-2)=20 x^2+9x^2-6x-6x-16=0 10... | 4 | [
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0.0771484375,
-0.003448486328125,
... | 18,971 | 18971 | |
Algorithm
October 27th 2006, 06:44 PM
fifthrapiers
Algorithm
Hello-
a.) I have to write an algorithm, that, if given n numbers (all distinct), say a_1, a_2, a_3, ...., a_n, the algorithm will return the smallest and largest numbers in the list. Then, determine
the exact number of comparisons that the al... | 4 | [
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0.01190185546875,
0.00555419921875... | 18,972 | 18972 | |
Checkerboard: Use proof by contradiction
Last edited by chillerbros17; February 28th 2007 at 02:33 PM.
Suppose it can be made from the given tiles, then there will be 15 of them. This is because there are 60 small squares on the board to be covered, 30 light and 30 dark. So there must be an even
number of one type of ... | 4 | [
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0.0072937011718... | 18,973 | 18973 | |
Find the eigenvectors given the eigenvalues
sharks
The problem statement, all variables and given/known data
This is the matrix A, which i need to find the eigenvalues and eigenvectors.
3x3 matrix
5 6 12
0 2 0
-1 -2 -2
The attempt at a solution
I have found the eigenvalues to be: 1, 2, 2.
So, the final eigenvalues ... | 4 | [
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0.07421875,
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-0.037841796875,... | 18,974 | 18974 | |
two problems dealing with congruences
January 30th 2009, 09:37 PM #1
Junior Member
Joined
Sep 2008
Posts
55
two problems dealing with congruences
1. let p be a prime number. Show that (p - 1)! is congruent to (-1)mod p
2. prove criteria for divisibility by 2, 3, 4, 5, 9, 10, 11 using congruences mo... | 5 | [
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0.0776367187... | 18,975 | 18975 | |
Canonical Transform proof
Guess i can answer my own question... i knew how to do it but i had an error in my notes
[dQ, dP)^T = [{dQ/dq, dQ/dp}, {dP/dq, dP/dp}]*[dq, dp] = M[ij]*[dq, dp]
to prove its a canonical transformation
MJM^T = J where J = [{0,I},{-I,0}] and T represents the transpose
If i do the matrix mul... | 4 | [
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0.10546875,
-0.0458984375,
0.102539... | 18,976 | 18976 | |
Find the exact value... radicals.
April 23rd 2012, 07:58 AM #1
Newbie
Joined
Apr 2012
From
union, missouri
Posts
4
Find the exact value... radicals.
Having a hard time finding the answer to the problem. Can someone help me with this. (6-1)^2 + (15-3)^2 all of this is under a radical sign. I think the... | 4 | [
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... | 18,977 | 18977 | |
Find the intersection of two lines in 3d space.
$-2x-5y=3, -8y+4z=-7$ How do you go about finding (x,y,z)? I can't find this in my textbook.
Those are planes, not lines. Are you trying to find the equation of the line of intersection?
You're right. I'm trying to find the intersection of two planes
So, set up a syste... | 5 | [
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0.037109375,
0.078125,
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0.0211181640625,
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0.06982421875,
-0.08251953125,
-0.0419921875... | 18,978 | 18978 | |
Probability of a random variable
March 29th 2011, 08:20 AM #1
Newbie
Joined
Mar 2011
Posts
11
Probability of a random variable
The reading given by a thermometer calivrated in ice water is a random variable with probablility density function
f(x) { k(1-x) -1
{ 0 otherwise where k is a constant
... | 5 | [
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0.00011205673217773438,
... | 18,979 | 18979 | |
Patent US20020138230 - Speed signal variance detection fault system and method
BACKGROUND OF THE INVENTION
[0001] The present invention generally relates to turbine engines and, more particularly, to a method and system used in electrical control sensors for shaft speed signal frequency change rate tests.
[0002] Comp... | 4 | [
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Estimating the maximum possible percentage error
benji123
1. The problem statement, all variables and given/known data
Hi all! Im new to the forum, came across it from googling the problem which I had and someone was having difficuilty with a question like this on here! Here's the question I have...
Welcome, benji.... | 4 | [
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-0.06298828125,
0.078125,
-0.00714111328125,
0.052490234375,... | 18,981 | 18981 | |
Multiple Choice Questions on Elasticity
Here are three questions (MCQ) on elasticity which appeared in Kerala Engineering and Medical Entrance 2004 Examination question papers:
(1) Wires A and B are made from the same material. A has twice the diameter and three times the length of B. If the elastic limits are not rea... | 5 | [
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0.0810546875,
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0.05517578125,
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0.004638671875,
... | 18,982 | 18982 | |
Patent US6771810 - System and method for estimating the epipolar geometry between images
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates in general to object modeling, and in particular to a system and method for estimating the epipolar geometry of images representing an object tha... | 4 | [
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R-square and Standardization in Regression
Neil W. Henry March, 2001
Adjusted R-square
As a summary of some topics that may have been overlooked in class... | 4 | [
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Gcd
September 29th 2006, 01:39 PM
JimmyT
Gcd
I was able to find the Greatest Common Divisor of two numbers by using the Euclidean Algorithm. But what is the easiest way to express this GCD as a linear combination in the form c=au+bv where c
is the GCD of a,b?
For example, the gcd(56,72)=8. And the linea... | 4 | [
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and mathematical operations
Binary numbers - Conversion formulas and mathematical operations.
Welcome to our binary numbers guide.
In this section we will explain what binary is and show you how to convert between binary and decimal (denary) numbers.
We will also show you how to perform various mathematical operati... | 4 | [
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Equalizer's Use Limitation for Complexity Reduction in a Green Radio Receiver
Journal of Computer Networks and Communications
Volume 2013 (2013), Article ID 794202, 15 pages
http://dx.doi.org/10.1155/2013/794202
Research Article
Equalizer's Use Limitation for Complexity Reduction in a Green Radio Receiver
^1IETR, Su... | 4 | [
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How to calculate acceleration
gneill
If you go back to post #3 in this thread, I showed how to calculate the angular acceleration and thus the centripetal acceleration and linear (tangential) accelerations for any time t while the rod
is accelerating.
Of course I noticed this post, but you know I am not Physicist or ... | 4 | [
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Retention Behaviour in Micellar Liquid Chromatography
Chromatography Research International
Volume 2012 (2012), Article ID 402635, 5 pages
http://dx.doi.org/10.1155/2012/402635
Research Article
Retention Behaviour in Micellar Liquid Chromatography
Àrea de Química Analítica, QFA, Universitat Jaume I, 12071 Castelló, ... | 4 | [
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Single-Variable Statistics - GNU Emacs Calc Manual
10.7.1 Single-Variable Statistics
These functions do various statistical computations on single vectors. Given a numeric prefix argument, they actually pop n objects from the stack and combine them into a data vector. Each object may
be either a number or a vector; if... | 4 | [
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Constructing Antiderivatives and areas
January 21st 2007, 12:10 PM
Jacobpm64
Constructing Antiderivatives and areas
1. The problem statement, all variables and given/known data
The origin and the point (a, a) are at opposite corners of a square. Calculate the ratio of the areas of the two parts into which th... | 5 | [
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0.... | 18,991 | 18991 | |
Mathematical Model
February 17th 2009, 09:38 AM
rebak
Mathematical Model
With 1000ft of fencing, a person wishes to fence a field into three parts as shown in the diagram. (The diagram is just a rectangle with it sectioned into three portions, y being height, x width)
How would you determine the values of x... | 4 | [
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... | 18,992 | 18992 | |
Guess solution to fields by minimizing the action.
Spinnor
Suppose I want to try and guess the fields of a short laser pulse. We know that fields that satisfy Maxwell's equations minimize the action E^2 - B^2 (say far from charge and current)?
For a plane wave E^2 - B^2 = 0?
Yes, a single plane wave
[tex] \mathbf... | 5 | [
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please help geometric sequence??????
October 13th 2008, 09:47 PM #1
Newbie
Joined
Oct 2008
Posts
9
please help geometric sequence??????
consider the following geometric sequence 400, 320, 256, 204.8, ......
i) what is the recurrance system that descibes this sequence?
( denote the sequence by xn... | 5 | [
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Calculating impulse due to rigid body collision with friction
I am programming a simple physics simulation and have been following along with some books about the subject. Everything has gone well so far, although at the moment I'm stuck on how to calculate the
impulse when two rigid bodies collide. I'll explain the al... | 4 | [
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etd AT Indian Institute of Science: Structural Analysis And Forecasting Of Annual Rainfall Series In India
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etd A... | 4 | [
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Profit function!
January 21st 2009, 01:22 AM
karimwahab
Profit function!
P(X) = -60X2 + 1500X - 4000 - 1 ≤ x ≤ 25
This is the profit function and its domain,
can you please help me find
1) the value of X where there is a breakeven point
2) the value of X where profit be maximum
thankyou... | 4 | [
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Patent US7092448 - Method and system for estimating no-reference objective quality of video data
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a method and system for evaluating the quality of compressed video and image data and, in particular, to a method and system for estim... | 4 | [
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Probability homework help again...
April 10th 2007, 07:03 AM #1
Member
Joined
Nov 2006
Posts
126
Probability homework help again...
I'm very stuck here as I do not know how to add independant events! Here is the question:
P(A) = 13/25
P(B) = 9/25
P(A|B)= 5/9
Determine the probabilties..... | 4 | [
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0... | 18,999 | 18999 |