content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
A difficult limit involving trig.
August 31st 2006, 10:12 PM
tttcomrader
A difficult limit involving trig.
lim (1-tanx)/(sinx-cosx)
x->pi/4
I had been trying for 20 mins, but still cannot find a way to solve it as both top and bottom goes to 0...
Thank you.
KK
August 31st 2006, 10:41 PM
Capt... | 5 | [
-0.068359375,
0.026611328125,
0.0576171875,
0.0341796875,
-0.0537109375,
-0.026123046875,
-0.04052734375,
-0.007080078125,
0.044189453125,
-0.02197265625,
0.007415771484375,
-0.054931640625,
0.059814453125,
0.00421142578125,
0.026611328125,
-0.0101318359375,
0.032958984375,
-0.0410... | 21,500 | 21500 | |
Geometrical construction...kinda impossible to me
June 16th 2008, 01:08 PM #1
Newbie
Joined
Jun 2008
Posts
2
Geometrical construction...kinda impossible to me
the problem:
construct a square given one of its points(A) and points P - on the BC and Q on the CD segment... the pic i've made is not the fi... | 4 | [
-0.039306640625,
0.078125,
-0.02294921875,
-0.076171875,
-0.0869140625,
0.00689697265625,
0.019287109375,
0.000499725341796875,
0.0546875,
0.037353515625,
-0.01007080078125,
-0.041015625,
0.053466796875,
0.055908203125,
0.040283203125,
0.017578125,
-0.045166015625,
-0.03662109375,
... | 21,501 | 21501 | |
Solving diffrential equations
December 5th 2008, 05:25 AM
AshleyT
Solving diffrential equations
Well i couldn't go to school today for various reasons.
So i'm trying to teach myself some stuff and am having trouble understanding the method.
Quote:
Find a differential equation satisfied by y = Ax^2... | 4 | [
-0.00238037109375,
-0.047119140625,
0.0751953125,
0.057373046875,
0.01495361328125,
0.009033203125,
-0.0098876953125,
-0.0400390625,
0.06591796875,
0.03857421875,
0.07177734375,
0.0198974609375,
0.026611328125,
0.02001953125,
-0.00168609619140625,
0.1748046875,
-0.053955078125,
-0.... | 21,502 | 21502 | |
Circle Problemo!
October 9th 2009, 06:10 AM #1
Newbie
Joined
Sep 2009
Posts
7
Circle Problemo!
I have a study guide for a test that I have in a few hours.. and I don't understand these problems! Help would would be great!
A=1/2*Pi*r^2*theta
dA/dthetha=?
da/dr=?
dtheta/dr=?
much t... | 5 | [
-0.0693359375,
-0.0081787109375,
-0.002532958984375,
-0.01019287109375,
-0.07373046875,
-0.09326171875,
-0.06640625,
0.028564453125,
0.10302734375,
0.056884765625,
0.033203125,
0.0022125244140625,
-0.00078582763671875,
0.109375,
-0.01275634765625,
-0.0198974609375,
-0.08056640625,
... | 21,503 | 21503 | |
Quadratic Equation
December 14th 2009, 12:13 PM #1
Banned
Joined
Dec 2009
From
NYC
Posts
84
Quadratic Equation
Please, see attachment for quadratic equation. As a first step, do I rewrite sqrt{22x} as (22x)^(1/2)?
Is this correct: x^2 + (22x)^(1/2) = 0
See attachment.
If you like, it d... | 4 | [
0.041015625,
0.0164794921875,
-0.05810546875,
0.1279296875,
-0.1220703125,
0.0164794921875,
-0.0230712890625,
0.015869140625,
0.07421875,
-0.05029296875,
0.11376953125,
0.0191650390625,
0.06103515625,
0.0986328125,
0.0986328125,
0.0213623046875,
-0.046142578125,
-0.0208740234375,
... | 21,504 | 21504 | |
Rearrange Formula
August 10th 2009, 10:06 PM #1
Junior Member
Joined
Nov 2007
Posts
26
Rearrange Formula
Hi, this is probably dead easy for most of you but can you help me re-arrange this formula so that CºC¹ are the subject.
The formula is:
F= 1/(2π√(Rº R¹ Cº C¹))
F equals the inverse of tw... | 4 | [
-0.008056640625,
0.00185394287109375,
-0.0208740234375,
0.064453125,
-0.030029296875,
0.0419921875,
-0.0556640625,
0.09326171875,
0.020751953125,
0.053466796875,
0.00909423828125,
-0.0546875,
-0.0267333984375,
0.0703125,
-0.00946044921875,
-0.0145263671875,
-0.035888671875,
0.02185... | 21,505 | 21505 | |
Coefficient Estimates and Other Properties for a Class of
Spirallike Functions Associated with a Differential Operator
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 415319, 7 pages
http://dx.doi.org/10.1155/2013/415319
Research Article
Coefficient Estimates and Other Properties for a Class of Spiralli... | 5 | [
-0.10791015625,
-0.01495361328125,
0.06396484375,
0.02587890625,
-0.0164794921875,
0.0245361328125,
-0.019287109375,
0.0250244140625,
0.01434326171875,
-0.0419921875,
-0.0146484375,
0.0167236328125,
0.037109375,
-0.0096435546875,
-0.06396484375,
-0.06396484375,
-0.048583984375,
-0.... | 21,506 | 21506 | |
The pointwise limit of an orthonormal sequence
Suppose, for a contradiction, that there is a set of positive measure on which f is not zero. Then by Egorov's theorem there is a (maybe smaller) set A on which $f_n(x)\to f(x)$ uniformly. Let g be
the function that is equal to f on A and 0 outside A. Then $\int_A|g|^2d\mu... | 5 | [
-0.014892578125,
-0.016845703125,
0.05078125,
-0.047119140625,
0.004852294921875,
0.031005859375,
0.08154296875,
0.00457763671875,
0.0162353515625,
0.0244140625,
0.060791015625,
0.053955078125,
0.02099609375,
-0.0810546875,
-0.036376953125,
-0.054443359375,
0.00179290771484375,
-0.... | 21,507 | 21507 | |
Rational and Irrational numbers
April 19th 2010, 09:38 PM #1
Newbie
Joined
Jan 2009
Posts
9
Rational and Irrational numbers
Hi, I am learning about rational and irrational numbers and I came across a question that I am trying to get my head around,
m is a irrational number
n is a rational number... | 5 | [
-0.023681640625,
-0.03857421875,
-0.050537109375,
0.023193359375,
-0.0556640625,
0.062255859375,
-0.047119140625,
-0.0400390625,
-0.002593994140625,
-0.07080078125,
-0.0032196044921875,
0.0238037109375,
0.07568359375,
0.11474609375,
0.041015625,
-0.0267333984375,
0.04931640625,
-0.... | 21,508 | 21508 | |
Graphs of basic functions & Remainder-Factor theorem
January 22nd 2008, 05:53 AM
Tangera
Graphs of basic functions & Remainder-Factor theorem
Hello! I have a few questions regarding the graphs of basic functions (eg. y = x^3). Please provide explanations to the answers if possible! Thank You very much!
Q1) ... | 4 | [
-0.0223388671875,
-0.056640625,
-0.1015625,
0.03173828125,
-0.0147705078125,
0.0162353515625,
0.0177001953125,
0.00946044921875,
0.0125732421875,
-0.031005859375,
0.083984375,
0.033935546875,
0.0036773681640625,
0.0277099609375,
0.07080078125,
0.0185546875,
-0.039794921875,
-0.0554... | 21,509 | 21509 | |
Calculus of Variation - Classical Mechanics
I'm reading Classical Mechanics (Taylor), and the 6th chapter is a basic introduction to calculus of variations. I'm super confused
I've tried to go to other sources for an explanation, but they just make it even worse!
So, let me see if I can get some help here.
[tex]\int... | 4 | [
0.0101318359375,
-0.07763671875,
0.059814453125,
0.01806640625,
-0.0030975341796875,
0.01318359375,
0.03369140625,
0.01055908203125,
0.01263427734375,
-0.0027008056640625,
0.0294189453125,
0.0673828125,
-0.0284423828125,
-0.0142822265625,
0.008544921875,
0.035400390625,
-0.0629882812... | 21,510 | 21510 | |
Standard macroeconomic model and implicit differentiation
January 31st 2011, 11:41 AM
Runty
Standard macroeconomic model and implicit differentiation
A standard macroeconomic model for income determination in an open economy is
(i) $Y=C+I+\overline{X}-M$
(ii) $C=f(Y)$
(iii) $M=g(Y)$
where $0<... | 4 | [
-0.0859375,
-0.04296875,
0.047607421875,
0.0556640625,
0.07275390625,
0.00909423828125,
-0.02197265625,
0.09228515625,
-0.0022430419921875,
0.059814453125,
0.091796875,
0.001190185546875,
0.00176239013671875,
-0.0147705078125,
0.0341796875,
0.00151824951171875,
-0.029296875,
-0.009... | 21,511 | 21511 | |
Limits and integration
May 23rd 2009, 06:03 AM #1
Newbie
Joined
May 2009
Posts
1
Limits and integration
If I have shown that $\sum\limits_{k = 0}^\infty {{f_k}}$ is uniformly convergent on [0,1], where ${f_k}\left( x \right) = {\left( {1 - {x^2}} \right)^2}{x^k}$, how would I then go about showing
th... | 4 | [
0.044921875,
0.03515625,
0.006591796875,
0.002044677734375,
-0.0062255859375,
-0.05419921875,
0.054931640625,
-0.0174560546875,
-0.00390625,
0.0283203125,
-0.1181640625,
0.00897216796875,
0.006683349609375,
-0.0218505859375,
-0.103515625,
-0.056640625,
0.07080078125,
-0.05224609375... | 21,512 | 21512 | |
Help with presentation of the symmetric group in the simplest cases
December 9th 2012, 10:53 PM
xaosman
Help with presentation of the symmetric group in the simplest cases
The symmetric group on n-letters, Sn, may be described as follows.
σi is the permutation that swaps the i:th element with the i+1 one.
... | 5 | [
-0.1142578125,
-0.0247802734375,
0.107421875,
-0.0302734375,
-0.0302734375,
-0.0093994140625,
0.033203125,
0.017822265625,
-0.004302978515625,
-0.0286865234375,
0.01116943359375,
-0.006622314453125,
0.044921875,
-0.07568359375,
-0.0654296875,
0.038330078125,
0.0233154296875,
0.0007... | 21,513 | 21513 | |
Physics Forums - View Single Post - Green's function approach using Lebesgue integration
For the counterexample, where f is continuous but the second derivatives of [itex]\phi[/itex] blow up. This will occur, e.g., on the edges of a uniform density cube and also if the density in the
cube drops off inversely proportio... | 4 | [
-0.046142578125,
-0.0096435546875,
0.048583984375,
-0.062255859375,
0.03125,
-0.04296875,
0.031494140625,
0.005584716796875,
-0.0283203125,
0.0076904296875,
0.0233154296875,
0.01055908203125,
-0.0147705078125,
-0.0115966796875,
0.0703125,
0.0022735595703125,
0.00022602081298828125,
... | 21,514 | 21514 | |
Which method of integration for sin^2(x) dx
Adyssa
I'm not sure how to proceed here, because the chain rule implies that [itex]\frac{dy}{dx} f(g(x)) = f'(g(x) . g'(x)[/itex], and in my example [itex]g(x) = x[/itex] and [itex]g'(x) = 1[/itex] which
doesn't help me end up with [itex]sin(x)[/itex] as required.
Could a... | 5 | [
-0.021484375,
0.0042724609375,
0.0859375,
-0.00885009765625,
0.0037384033203125,
-0.029296875,
-0.002227783203125,
-0.04443359375,
-0.01214599609375,
0.036865234375,
0.0169677734375,
0.00982666015625,
-0.006500244140625,
-0.0038299560546875,
0.018310546875,
-0.0225830078125,
0.049560... | 21,515 | 21515 | |
Trying to find "best" rotation matrix
August 5th 2010, 02:08 PM #1
Newbie
Joined
Aug 2010
Posts
3
Trying to find "best" rotation matrix
$<br /> \text{Let }A_i = <br /> \left[ \begin{array}{cc}<br /> R_i & p_i \\<br /> 0 & 1\end{array}\right]<br /> \text{ where } R_i \in SO[3] \text{ , and } p_i \in R^3.<... | 4 | [
-0.03271484375,
-0.052734375,
-0.0673828125,
-0.06640625,
-0.01287841796875,
0.006866455078125,
0.01153564453125,
-0.0634765625,
0.0419921875,
0.0311279296875,
0.00531005859375,
0.11328125,
0.03955078125,
0.0306396484375,
-0.0213623046875,
0.04443359375,
0.054931640625,
0.050048828... | 21,516 | 21516 | |
Coordinate geometry questions.
February 5th 2010, 05:37 PM #1
Newbie
Joined
Feb 2010
Posts
12
Coordinate geometry questions.
I have a few more questions that are giving me a hard time...
1
What is the equation of the perpendicular bisector of the line between the points (2,2) an (6,6)?
2
... | 4 | [
-0.01458740234375,
-0.03369140625,
-0.11474609375,
-0.08154296875,
0.038818359375,
0.06689453125,
0.01239013671875,
0.10107421875,
0.0869140625,
-0.003082275390625,
0.1025390625,
0.0303955078125,
0.013427734375,
-0.0126953125,
0.011962890625,
0.06201171875,
-0.083984375,
-0.0554199... | 21,517 | 21517 | |
Convert octal to hex, w/out converting to Binary
dk702
I have been trying to convert a from octal to hex and hex to octal without using binary. I believe the method is called repeated divison.
Example of problem I am trying to solve,
Convert 173 octal(123 dec) to hex
173 oct / 16 oct = 10 oct remainder 13 oct
an... | 4 | [
-0.032958984375,
0.0233154296875,
-0.0419921875,
-0.04736328125,
-0.0732421875,
-0.027587890625,
-0.029541015625,
0.054443359375,
-0.0849609375,
0.014404296875,
-0.0250244140625,
-0.0849609375,
0.0211181640625,
0.03173828125,
0.00653076171875,
-0.06396484375,
-0.078125,
0.124023437... | 21,518 | 21518 | |
If x, y and k are integers, is xy divisible by 3?
Author Message
TAGS:
Re: If x, y and k are integers, is xy divisible by 3? [#permalink] 20 Sep 2009, 18:55
... | 4 | [
-0.0220947265625,
0.0286865234375,
-0.1103515625,
-0.0033416748046875,
0.08251953125,
-0.04052734375,
0.12890625,
-0.0673828125,
-0.0751953125,
0.037109375,
0.0234375,
0.00677490234375,
0.05615234375,
0.0986328125,
0.1181640625,
0.0703125,
-0.09521484375,
-0.0240478515625,
-0.043... | 21,519 | 21519 | |
Intersection between two sets
January 27th 2009, 05:34 AM #1
Intersection between two sets
$U=[(1,1,1), (1,0,-1)]$
$V=[(2,1,1), (1,0,1)]$
Find a basis for the set $U\cap V$
SOLVED
-----------------------------------------
While we're at it, how do I mathematically prove that $dim(M)=3$ if $... | 5 | [
0.1083984375,
0.0155029296875,
-0.0059814453125,
-0.0673828125,
0.033447265625,
-0.009033203125,
0.0498046875,
-0.03515625,
-0.06494140625,
-0.095703125,
-0.0299072265625,
-0.1015625,
0.022705078125,
0.00811767578125,
-0.054443359375,
0.00176239013671875,
-0.008544921875,
-0.012207... | 21,520 | 21520 | |
Induction on simple graphs
January 13th 2013, 06:15 AM
MachinePL1993
Induction on simple graphs
Hello,
We say that a simple graph $G=\langle V,E \rangle$ is connected, when the transitive and reflexive closure of relation $E$ is equal to $V \times V$ (which basically means that we can find a route
to an... | 5 | [
-0.0732421875,
0.0034942626953125,
0.06982421875,
0.01904296875,
0.0120849609375,
0.00518798828125,
-0.040283203125,
-0.0272216796875,
-0.031494140625,
0.068359375,
-0.0634765625,
0.00006532669067382812,
0.033935546875,
0.014404296875,
-0.0079345703125,
0.01531982421875,
0.0249023437... | 21,521 | 21521 | |
Finding x-intercept of cubic functions? / Factoring cubic functions
The first one is pretty easy, since each term has a factor of x.
2x
^3
- 3x
^2
- 12x = x(2x
^2
- 3x - 12).
Now it's just a matter of factoring 2x
^2
- 3x - 12.
Pretty obviously, the factorization is going to look like (2x + ?)(x + ?). Now it... | 4 | [
0.0634765625,
-0.045166015625,
-0.07275390625,
0.017333984375,
0.013427734375,
-0.004852294921875,
0.004913330078125,
-0.0283203125,
-0.00347900390625,
-0.01806640625,
0.037841796875,
-0.007049560546875,
0.0283203125,
-0.0269775390625,
0.0341796875,
0.0234375,
-0.006622314453125,
0... | 21,522 | 21522 | |
Linear independence of matrix set?
March 9th 2010, 05:29 PM #1
Junior Member
Joined
Feb 2010
Posts
41
Linear independence of matrix set?
I need to show that the following set of 2x2 matrices forms a basis for the subspace that it spans, ie) that it is linearly independent.
{[1 1] [0 1] [2 0] }
{... | 4 | [
0.031005859375,
-0.087890625,
-0.064453125,
0.02587890625,
0.06494140625,
-0.01708984375,
0.00616455078125,
-0.07763671875,
-0.0712890625,
-0.0167236328125,
-0.0240478515625,
-0.024658203125,
0.06005859375,
0.022705078125,
-0.064453125,
-0.016845703125,
-0.0291748046875,
-0.0549316... | 21,523 | 21523 | |
Difference of Squares question
June 28th 2009, 09:35 AM #1
Member
Joined
May 2008
Posts
143
Difference of Squares question
I have troubles with any difference of squares expression that incorporates a fraction.
For instance in the expression $\frac{1}{64}x^6-1$
= $(\frac{1}{8}x^3-1)(\frac{1}{8}x... | 4 | [
-0.02587890625,
0.0185546875,
-0.0181884765625,
0.0556640625,
0.0439453125,
-0.0142822265625,
-0.06884765625,
0.0286865234375,
0.0771484375,
-0.07373046875,
0.00042724609375,
-0.005035400390625,
0.0172119140625,
-0.01165771484375,
-0.0181884765625,
0.0174560546875,
-0.01483154296875,... | 21,524 | 21524 | |
Brevet US4835680 - Adaptive processor array capable of learning variable associations useful in recognizing classes of inputs
RELATED APPLICATION
This invention is another member of a class of adaptive processor arrays of the type disclosed in U.S. Ser. No. 580,919 filed Feb. 16, 1984, now U.S. Pat. No. 4,591,980 in t... | 4 | [
-0.052734375,
-0.0308837890625,
-0.07861328125,
-0.01397705078125,
-0.0986328125,
-0.0120849609375,
-0.02392578125,
-0.05810546875,
-0.01336669921875,
-0.051025390625,
-0.047119140625,
0.068359375,
0.01123046875,
-0.06591796875,
-0.060302734375,
-0.0235595703125,
-0.033203125,
0.03... | 21,525 | 21525 | |
2 complex analysis questions
November 9th 2008, 07:32 PM
grad444
2 complex analysis questions
1.) Let G be a region and let f and g be analytic functions on G such that
f(z)g(z) = 0 on G. Show that either f(z) = 0 or g(z) = 0 on G.
2.) Let f be an entire function with constants 0<M, R>0 and positive int... | 5 | [
-0.051513671875,
0.0849609375,
0.0011749267578125,
0.1376953125,
0.01190185546875,
0.0281982421875,
0.038330078125,
0.01129150390625,
-0.033447265625,
-0.01116943359375,
0.032958984375,
0.00909423828125,
0.010009765625,
-0.046875,
-0.0184326171875,
-0.016357421875,
-0.00244140625,
... | 21,526 | 21526 | |
Second order, nonlinear differential equation help
Yeah. How about a power series solution? Huh? What do you mean that yy' thing? No? How about the Mathematica code below then. Looks pretty close to me.
Remove[a];
nmax = 25;
myleftside = Sum[n*(n - 1)*Subscript[a, n]*t^(n - 2), {n, 0, nmax}] +
Sum[Subscript[a, n... | 4 | [
-0.10986328125,
0.0064697265625,
0.02392578125,
-0.01422119140625,
-0.046875,
-0.028076171875,
-0.055419921875,
-0.04052734375,
0.0036773681640625,
0.060546875,
0.080078125,
-0.049560546875,
-0.0035400390625,
-0.024658203125,
-0.00628662109375,
0.06396484375,
-0.04052734375,
-0.051... | 21,527 | 21527 | |
How many solutions in 4sin2x=3?
February 21st 2013, 11:30 AM
MaddieMoodle
How many solutions in 4sin2x=3?
Hello guys,
I am just wandering how many solution there are to the equation in the title?
The boundary is 0_<X_<360(degrees) (_< meaning less than or equal to sign)
I worked out:
sin2x=0.75
... | 4 | [
0.0185546875,
0.01318359375,
-0.01287841796875,
0.0016326904296875,
0.00072479248046875,
-0.0201416015625,
-0.0089111328125,
0.05810546875,
0.02197265625,
-0.005157470703125,
0.0247802734375,
-0.0703125,
0.042236328125,
0.052978515625,
0.1220703125,
-0.023681640625,
-0.02001953125,
... | 21,528 | 21528 | |
some electrostatics questions
September 7th 2010, 09:20 PM
ice_syncer
some electrostatics questions
these are some questions which I coudnt get :(
Q1 :
A thick shell with inner radius R and outer radius 3R has uniform volume charge density ''sigma" it has a spherical cavity of radius R, what is the fiel... | 4 | [
-0.031982421875,
0.03955078125,
-0.02587890625,
-0.0255126953125,
-0.012939453125,
-0.016845703125,
0.0751953125,
0.0174560546875,
0.02587890625,
0.0191650390625,
-0.016845703125,
-0.1474609375,
0.1025390625,
-0.00087738037109375,
0.033203125,
-0.07958984375,
-0.01324462890625,
-0.... | 21,529 | 21529 | |
Solve The Difference Equation
April 29th 2009, 03:31 PM #1
Newbie
Joined
Jan 2009
Posts
11
Solve The Difference Equation
$f_{n+2} - 2f_{n+1}+ 5f_n = 0$
given that $f_0=1$ and $f_1=3$
Auxiliary equation:
$m^2 - 2m + 5 = 0$
Therefore:
$m = 1 + 2i$ or $m = 1 - 2i$
What would th... | 5 | [
-0.059814453125,
0.006011962890625,
0.01300048828125,
0.03857421875,
-0.0101318359375,
-0.030029296875,
0.0224609375,
0.046875,
0.007171630859375,
0.0189208984375,
0.00982666015625,
-0.0830078125,
-0.01470947265625,
0.010498046875,
0.00823974609375,
-0.0159912109375,
-0.0101928710937... | 21,530 | 21530 | |
Proposition 7
If a straight line is cut at random, then the sum of the square on the whole and that on one of the segments equals twice the rectangle contained by the whole and the said segment plus the square on
the remaining segment.
Let a straight line AB be cut at random at the point C.
I say that the sum of the... | 4 | [
-0.053955078125,
0.01708984375,
0.09130859375,
-0.04638671875,
-0.037841796875,
0.00830078125,
0.10693359375,
-0.035888671875,
0.0673828125,
0.06982421875,
0.0018310546875,
-0.0361328125,
-0.0458984375,
-0.0013275146484375,
-0.04736328125,
-0.0169677734375,
-0.058837890625,
0.01965... | 21,531 | 21531 | |
A proof for cof(C,M)=cov(M)
up vote 3 down vote favorite
Recently, I have read Brendle's article Between p-points and nowhere dense ultrafilters [Isr. J. Math. 113, 205-230]. In this paper, he noted that $\mathrm{cof}(\mathcal{C},\mathcal{M}) = \mathrm
{cov}(\mathcal{M})$, where $\mathcal{C}$ represents the set of all... | 5 | [
0.053466796875,
-0.05126953125,
-0.04150390625,
-0.001739501953125,
0.048583984375,
0.11962890625,
0.0859375,
0.040283203125,
-0.004180908203125,
-0.040771484375,
-0.0125732421875,
-0.08349609375,
-0.003265380859375,
-0.01275634765625,
-0.046142578125,
-0.055908203125,
0.056640625,
... | 21,532 | 21532 | |
Gravitation potential energy
Hi Shounak!
shounakbhatta
It is just as we want to avoid infinite, it is better even to get -ve values. If we consider all the non zero values it would be extremely difficult for us to compute. Am I right?
no
we're
not
trying to avoid infinity
it's just that we want a
convenient
... | 5 | [
-0.0272216796875,
0.0234375,
-0.060791015625,
0.0201416015625,
0.01708984375,
-0.048583984375,
0.027099609375,
0.08056640625,
0.046875,
-0.0220947265625,
-0.0301513671875,
-0.053955078125,
0.002838134765625,
0.04248046875,
0.051025390625,
-0.087890625,
0.0341796875,
-0.052001953125... | 21,533 | 21533 | |
Probably quite straight forward...
April 26th 2009, 11:35 PM #1
Junior Member
Joined
Jun 2008
Posts
38
Thanks
1
Probably quite straight forward...
I haven't done mv calculus in a while ... I'm stuck trying to understand a line of a solution I've been given. For this question T is a constant and x and... | 4 | [
-0.064453125,
-0.036376953125,
0.1123046875,
0.031494140625,
-0.06787109375,
0.041259765625,
0.0250244140625,
-0.053955078125,
-0.005584716796875,
0.12255859375,
0.0625,
0.07177734375,
0.0189208984375,
-0.0191650390625,
-0.027099609375,
0.041015625,
-0.0322265625,
-0.0546875,
-0.... | 21,534 | 21534 | |
recurrence relations...
June 2nd 2009, 01:28 PM #1
Member
Joined
Feb 2009
Posts
92
recurrence relations...
The questions read as follows:
Find all solutions of the recurrence relation
a -subscript-n = n+2-2a-subscript-n-1, a-subscript 1 = 0
My instructor says it is similar to:
Let R be ... | 5 | [
-0.154296875,
-0.044189453125,
0.019287109375,
-0.00079345703125,
-0.033203125,
0.047119140625,
-0.04541015625,
0.03076171875,
-0.03564453125,
-0.00830078125,
0.01708984375,
0.027099609375,
0.009765625,
-0.0038909912109375,
-0.00787353515625,
0.064453125,
0.005096435546875,
-0.0961... | 21,535 | 21535 | |
Prediction of haplotypes for ungenotyped animals and its effect on marker-assisted breeding value estimation
Abstract
Background
In livestock populations, missing genotypes on a large proportion of animals are a major problem to implement the estimation of marker-assisted breeding values using haplotypes. The objecti... | 4 | [
-0.007080078125,
0.001190185546875,
-0.00823974609375,
0.060546875,
0.0089111328125,
0.05712890625,
-0.02001953125,
0.00958251953125,
-0.06103515625,
-0.06689453125,
0.09423828125,
-0.059326171875,
-0.03466796875,
-0.034423828125,
-0.06494140625,
-0.021240234375,
-0.006134033203125,
... | 21,536 | 21536 | |
Patent US4608641 - Determining the attitude of a body operating in a gravitational field
BACKGROUND OF THE INVENTION
This invention relates to apparatus and methods for determining the attitude of a vehicle located in a gravitational field. In particular, but not exclusively, the invention relates to apparatus for
det... | 4 | [
-0.032958984375,
0.06640625,
-0.0908203125,
-0.0947265625,
-0.0186767578125,
0.0037078857421875,
-0.02734375,
0.0247802734375,
0.02392578125,
0.0166015625,
0.035888671875,
0.0242919921875,
-0.00089263916015625,
-0.0194091796875,
-0.042724609375,
-0.04931640625,
-0.052978515625,
0.0... | 21,537 | 21537 | |
sketching tide functions
October 28th 2006, 10:44 PM
needmathshelp
sketching tide functions
Given a set date from teh calender and a starting time
Date: 21/09/06
Time: 5am
How do you equate the tides for a 24-hour period after this time and date to an equation of the form y=a cos b(x-c)+d. I know th... | 4 | [
-0.07275390625,
0.04541015625,
0.07177734375,
-0.028564453125,
-0.036865234375,
0.00775146484375,
-0.08349609375,
0.06396484375,
-0.040283203125,
0.0306396484375,
0.031005859375,
-0.095703125,
-0.00958251953125,
0.024169921875,
0.095703125,
0.030029296875,
-0.11083984375,
-0.013549... | 21,538 | 21538 | |
Calculating Work
1. The problem statement, all variables and given/known data
The hemispherical tank shown is full of water. Given that water weighs 62.5 lb/ft3, find the work required to pump the water out of the tank. (the water will be pumped out of a spigot at the top)
2. Relevant equations
INTEGRAL from 0 to 5 ... | 5 | [
-0.0283203125,
0.10302734375,
-0.002777099609375,
-0.06787109375,
-0.0361328125,
-0.10205078125,
-0.0252685546875,
0.00958251953125,
-0.046875,
0.00830078125,
-0.04931640625,
0.0145263671875,
0.0164794921875,
0.033935546875,
-0.057373046875,
0.03515625,
-0.09765625,
-0.026489257812... | 21,539 | 21539 | |
S
It is very well known that for Hermitean matrices the scaling limit of the eigenvalue statistics is a determinantal point field with kernel given by the sine kernel in the bulk and the Airy
kernel (generally) at the edge.
We consider the normal matrix model with external field $U=Tr(M M^\dagger) - Tr( Ha... | 4 | [
-0.06982421875,
0.0023193359375,
-0.0311279296875,
0.0247802734375,
0.0419921875,
0.046142578125,
0.0113525390625,
0.01055908203125,
0.009033203125,
-0.03271484375,
0.1630859375,
0.02197265625,
-0.01544189453125,
-0.041748046875,
0.016357421875,
-0.034912109375,
0.02587890625,
-0.0... | 21,540 | 21540 | |
Trig simplification (this one is tough)
November 4th 2009, 10:19 PM #1
Newbie
Joined
Nov 2009
Posts
4
Trig simplification (this one is tough)
f(x)= (4cos (x) -cos (3x))^2 + (3sin (x) -sin (3x))^2
f(x) has to be simplified to the form: f(x)= a cos ^2 (2x) + b cos (2x) + c where a,b,and c are real numb... | 4 | [
-0.02783203125,
0.058837890625,
-0.047119140625,
0.04443359375,
-0.0517578125,
0.10693359375,
-0.0625,
-0.042236328125,
-0.0014495849609375,
-0.0093994140625,
0.10009765625,
-0.0791015625,
-0.0081787109375,
0.044677734375,
0.06396484375,
-0.00022029876708984375,
-0.029296875,
0.076... | 21,541 | 21541 | |
Vector Geometry Question!
October 21st 2009, 02:54 PM #1
Newbie
Joined
Oct 2009
Posts
1
Vector Geometry Question!
Hi, im really stuck on this question so would be very grateful if someone could help me with it!
Thanks
Gemma
To get rid of the absolute values square both sides of the given... | 4 | [
-0.03662109375,
-0.017822265625,
-0.05078125,
-0.064453125,
0.0016021728515625,
0.02392578125,
-0.00115203857421875,
-0.00144195556640625,
-0.00089263916015625,
0.053955078125,
0.037841796875,
-0.00738525390625,
0.052978515625,
0.0419921875,
0.00799560546875,
0.1259765625,
-0.0225830... | 21,542 | 21542 | |
Derivative question using the Quotient rule
March 17th 2007, 08:18 AM #1
Junior Member
Joined
Nov 2006
Posts
62
Derivative question using the Quotient rule
Ithe problem is as follows: d/dx[1-5x/1+5x] I need to find f'(x) and f''(x)
I found f'(x) but the second derivative is giving me problems. Here i... | 5 | [
-0.064453125,
-0.041259765625,
0.1396484375,
-0.01416015625,
0.000701904296875,
-0.050048828125,
0.00677490234375,
-0.04345703125,
0.0225830078125,
0.0517578125,
0.123046875,
-0.061767578125,
0.0181884765625,
0.03564453125,
-0.03759765625,
0.0279541015625,
-0.0126953125,
0.04882812... | 21,543 | 21543 | |
Patent US6763367 - Pre-reduction technique within a multiplier/accumulator architecture
CROSS REFERENCE TO RELATED APPLICATIONS
The present application is related to co-pending U.S. patent application Ser. No. 09/584,893, filed on Jun. 01, 2000. The above mentioned patent application is assigned to the assignee of the... | 4 | [
-0.0693359375,
0.04736328125,
-0.0152587890625,
-0.0791015625,
-0.0859375,
-0.057373046875,
-0.01153564453125,
0.044677734375,
-0.007171630859375,
0.0205078125,
0.032470703125,
0.0247802734375,
0.0615234375,
-0.08740234375,
-0.032958984375,
0.06494140625,
-0.0245361328125,
0.074218... | 21,544 | 21544 | |
Patente US5971933 - Method and apparatus to correct for electric field non-uniformity in conductance catheter volumetry
This application is related to U.S. Provisional Application Ser. No. 60/026,222 filed Sep. 17, 1996.
BACKGROUND OF THE INVENTION
This invention relates to cardiac monitoring and more particularly to... | 4 | [
-0.02978515625,
0.040283203125,
-0.08642578125,
-0.051513671875,
-0.03466796875,
-0.043212890625,
-0.0208740234375,
0.017578125,
0.027099609375,
-0.060546875,
-0.035888671875,
-0.041015625,
-0.047119140625,
0.0751953125,
-0.1455078125,
-0.123046875,
0.00604248046875,
0.056884765625... | 21,545 | 21545 | |
Bernoulli single-server queueing process
lowball
Ah... now I see. The example in my book had it ordered somewhat oddly. After swapping those around, I do indeed get the correct answer of .0266. Thanks!
You should not use such inaccurate numbers, especially not at the beginning.
[tex] \lambda_A = 1/10,\; \lambda_S ... | 4 | [
-0.055908203125,
-0.031494140625,
-0.0247802734375,
-0.0262451171875,
-0.017333984375,
-0.10888671875,
0.042236328125,
-0.001251220703125,
0.0546875,
0.007598876953125,
-0.03564453125,
0.009033203125,
0.0137939453125,
-0.05810546875,
0.009521484375,
0.029541015625,
0.015380859375,
... | 21,546 | 21546 | |
Change of y vs dy?
May 1st 2006, 09:05 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Change of y vs dy?
Q: Let y = 4 x^2.
Find the change in y, \Delta y when x= 4 and \Delta x = 0.2
Find the differential dy when x= 4 and dx = 0.2
My solution:
dy/dx = 8x
dy = 8x * dx
... | 4 | [
0.025634765625,
-0.0291748046875,
0.05712890625,
-0.03173828125,
-0.0281982421875,
-0.035400390625,
-0.0419921875,
0.057373046875,
0.047119140625,
0.000484466552734375,
0.08251953125,
-0.011474609375,
-0.051025390625,
0.035400390625,
0.037109375,
0.0400390625,
-0.034423828125,
0.03... | 21,547 | 21547 | |
Related rates into regards to applications of the derivative.
February 11th 2011, 02:51 PM #1
Member
Joined
Jan 2009
From
Ontario Canada
Posts
219
Related rates into regards to applications of the derivative.
Stuck on this one.
An airplane leaves a field at noon and flies east at 100 km/h and a s... | 5 | [
0.059326171875,
0.0830078125,
0.005340576171875,
-0.022216796875,
0.009521484375,
-0.037841796875,
-0.06884765625,
0.024658203125,
-0.053955078125,
0.06494140625,
0.048828125,
-0.0081787109375,
-0.00506591796875,
0.0556640625,
-0.0213623046875,
0.07763671875,
-0.0247802734375,
0.01... | 21,548 | 21548 | |
Trigonometry.
December 2nd 2007, 11:42 AM #1
Newbie
Joined
Dec 2007
Posts
12
Trigonometry.
Alevel (module 2/3 standard). Any help at all would be hugely appriciated.
32. a) Solve in radians
sin (x + pi/6) = 2cosx
giving all solutions in range of 0 < x < 2pi
b) Use the formular t... | 4 | [
-0.01495361328125,
0.0927734375,
0.01226806640625,
0.0250244140625,
-0.0615234375,
0.08935546875,
0.01104736328125,
0.0546875,
0.01348876953125,
-0.019775390625,
0.056884765625,
-0.115234375,
0.032470703125,
0.0087890625,
0.05712890625,
-0.0177001953125,
-0.009521484375,
-0.0380859... | 21,549 | 21549 | |
Check the answer of integration(Definite)
April 14th 2009, 07:25 AM #1
The value of $\int_0^{\infty}\{\frac{dx}{(a^2+x^2)^7}\}$ is equal to ?
My try:
Put $x=a tan(\theta)$
$dx =asec^2(\theta)d\theta$
Thus integration becomes
$\int_{0}^{\frac{\pi}{2}}\frac{a sec^2(\theta)d\theta}{a^{14}~(1... | 5 | [
-0.0247802734375,
0.055419921875,
0.037109375,
0.033447265625,
-0.0269775390625,
-0.010498046875,
-0.0140380859375,
-0.000583648681640625,
0.0125732421875,
0.029541015625,
0.1044921875,
-0.017822265625,
-0.07470703125,
0.037841796875,
-0.07861328125,
0.015869140625,
0.01214599609375,... | 21,550 | 21550 | |
Prove for Continuity of Minimum and Maximum Functions
November 11th 2008, 11:43 AM
lllll
Prove for Continuity of Minimum and Maximum Functions
Let
a) $f_1(x) = \min\{f_2(x), \ f_3(x)\}$, show that f_1(x) is continuous.
b) $f_4(x) = \max\{f_2(x), \ f_3(x)\}$ show that f_4(x) is continuous.
where $f_... | 5 | [
0.049072265625,
-0.02294921875,
-0.0177001953125,
-0.0947265625,
0.0089111328125,
0.053955078125,
0.045166015625,
0.08740234375,
-0.03173828125,
-0.01806640625,
0.037841796875,
-0.0308837890625,
0.0272216796875,
0.0206298828125,
0.064453125,
-0.0250244140625,
0.055419921875,
0.0082... | 21,551 | 21551 | |
Twice differentiable continuous function estimate
December 3rd 2008, 05:57 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Twice differentiable continuous function estimate
Suppose that a function $f: \mathbb {R} \rightarrow \mathbb {R}$ is twice differentiable and both $f', f''$ are continuous... | 5 | [
0.052734375,
0.0015869140625,
0.0361328125,
0.06689453125,
-0.0167236328125,
0.05029296875,
-0.0238037109375,
0.09326171875,
-0.03466796875,
0.0081787109375,
0.03076171875,
-0.00011444091796875,
0.0703125,
-0.0234375,
-0.043701171875,
0.04541015625,
0.00872802734375,
-0.03198242187... | 21,552 | 21552 | |
Precalculus Help. Finding exact solutions on the equation
July 29th 2010, 05:35 AM
danielh9103
Precalculus Help. Finding exact solutions on the equation
Hi
Find all exact solutions on [0,2pi)
2(cos^2)x + 3sinx = 3
Someone said i had to use (cos^2)x + (sin^2)x = 1 and use sin x as a variable, but i... | 4 | [
-0.0771484375,
0.0235595703125,
-0.033935546875,
0.09765625,
0.00872802734375,
0.041015625,
-0.039306640625,
-0.01055908203125,
0.01953125,
0.0003948211669921875,
0.057861328125,
-0.0625,
0.0299072265625,
-0.045166015625,
0.027587890625,
-0.07568359375,
0.0118408203125,
-0.05395507... | 21,553 | 21553 | |
Help creating a formula to calculate staffing
June 3rd 2010, 03:54 AM
jijjer
Help creating a formula to calculate staffing
Hi All
I represent a small project team who have been tasked with creating a bespoke IT system to encompass workforce management within a contact centre. We have been able to complete m... | 4 | [
0.016845703125,
-0.0028076171875,
-0.005523681640625,
0.00640869140625,
-0.07861328125,
0.01409912109375,
0.01007080078125,
0.047607421875,
0.0294189453125,
0.02294921875,
-0.016845703125,
-0.0712890625,
0.0244140625,
0.05126953125,
0.0625,
0.035888671875,
-0.044189453125,
-0.07324... | 21,554 | 21554 | |
Integrating to get velocity. (notation)
October 6th 2009, 12:06 PM #1
Integrating to get velocity. (notation)
I'm stuck on how to get the proper notation for this problem.
In physics, we know that Force= Mass x acceleration, or F=ma
In this case, the force is equal to $(<S>A)/c * cos(theta)$
So i'm... | 5 | [
-0.06591796875,
0.0186767578125,
-0.01318359375,
-0.005706787109375,
-0.0235595703125,
0.091796875,
-0.064453125,
0.0177001953125,
0.038330078125,
0.03564453125,
0.1259765625,
-0.07080078125,
-0.00592041015625,
0.0888671875,
0.0005340576171875,
0.033447265625,
0.017333984375,
0.126... | 21,555 | 21555 | |
Projectile Motion's relationship with Kinetic Energy and Potential Energy
Imagine a ramp setup on top of a tall table. The height Δy is measured. To find the initial velocity at the instant the ball leaves the ramp, I set up the kinetic energy and potential energy equal to
each other to find the initial velocity of the... | 4 | [
0.029052734375,
0.0234375,
0.01373291015625,
-0.035888671875,
-0.01055908203125,
0.00482177734375,
-0.026123046875,
0.09423828125,
0.0087890625,
0.032958984375,
0.046142578125,
0.005462646484375,
-0.039306640625,
0.06494140625,
0.08740234375,
0.0771484375,
0.033935546875,
0.0507812... | 21,556 | 21556 | |
Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 702132, 8 pages
http://dx.doi.org/10.1155/2013/702132
Research Article
Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yi... | 4 | [
-0.107421875,
0.01416015625,
0.10302734375,
0.087890625,
0.0771484375,
-0.02685546875,
-0.013427734375,
0.041748046875,
-0.007568359375,
0.03759765625,
0.039794921875,
-0.072265625,
-0.00046539306640625,
0.05078125,
0.01483154296875,
-0.039794921875,
-0.068359375,
0.034423828125,
... | 21,557 | 21557 | |
Explain why these steps were taken...
June 14th 2009, 06:01 AM
maybealways
Explain why these steps were taken...
There is something which I don't quite understand, and I'm hoping someone could explain it to me.
Basically, I'm trying to find a statement that expresses this:
$<br /> \log_{ab}x<br />$
... | 4 | [
-0.01544189453125,
0.01531982421875,
0.058837890625,
-0.0026702880859375,
-0.01806640625,
-0.0169677734375,
0.042236328125,
-0.0045166015625,
0.0947265625,
0.0703125,
0.047119140625,
0.03759765625,
0.054931640625,
0.048828125,
0.115234375,
0.091796875,
-0.12158203125,
0.04711914062... | 21,558 | 21558 | |
sum of power series
May 24th 2010, 12:32 PM #1
Newbie
Joined
Apr 2010
Posts
10
sum of power series
This might seem easy, but could anyone share the trick how to do the following sums?
the sum of 8^n/(3n)!, n goes from 0 to infinity
the sum of 27^n/(3n+1)!, n goes from 0 to infinity
Any input ... | 5 | [
-0.07470703125,
-0.025146484375,
-0.08349609375,
0.06494140625,
-0.033935546875,
-0.005279541015625,
-0.061767578125,
-0.016845703125,
0.051513671875,
-0.017333984375,
0.01220703125,
-0.1396484375,
-0.0712890625,
-0.08203125,
0.016845703125,
0.00921630859375,
-0.0849609375,
0.00549... | 21,559 | 21559 | |
area and cost
August 5th 2010, 08:12 PM #1
Newbie
Joined
Aug 2010
Posts
1
area and cost
An aluminum plate is made according to the following dimensions. THe outer radius is 12 inches and the inner radius is 5 insches. Use Pi = 3.14 as an approximate value. (a) Hamy square inches in
area is the alumin... | 4 | [
0.02734375,
0.09912109375,
-0.0035858154296875,
-0.0296630859375,
-0.0810546875,
-0.06689453125,
-0.04248046875,
0.0966796875,
-0.0140380859375,
0.055419921875,
-0.044189453125,
-0.03857421875,
0.068359375,
0.060546875,
-0.005615234375,
-0.01318359375,
0.0208740234375,
-0.018432617... | 21,560 | 21560 | |
Aah difficult problem
October 15th 2009, 03:29 PM #1
Newbie
Joined
Oct 2009
Posts
2
Aah difficult problem
A driver on a desert road discovers a hole in the gas tank leaking gas at the constant rate of 4 gallons per hour. This driver, having no way to plug the hole, decides to drive for as long as the
... | 4 | [
0.0216064453125,
0.11669921875,
0.0262451171875,
0.0101318359375,
-0.057861328125,
-0.009521484375,
-0.0062255859375,
0.0556640625,
-0.050537109375,
-0.009765625,
0.00043487548828125,
-0.040283203125,
0.009033203125,
0.1328125,
-0.033203125,
0.07763671875,
0.0123291015625,
-0.05151... | 21,561 | 21561 | |
Two Masses, a Pulley, and an Inclined Plane
pcmarine
I tried setting the two equations equal to each other through T, but was unable to discover the missing term...
[tex]m_1g-T=m_1a[/tex] So [tex]T=m_1g-m_1a[/tex]
[tex](m_1g-m_1a)-m_2gsin \theta-\mu m_2gcos \theta=m_2a[/tex]
[tex]m_1g-m_1a=m_2gsin \theta+\mu m_2gco... | 4 | [
-0.1025390625,
-0.0089111328125,
0.047119140625,
-0.01806640625,
-0.0673828125,
-0.025390625,
-0.047607421875,
0.0098876953125,
-0.00164794921875,
0.0201416015625,
0.09814453125,
-0.06494140625,
0.04541015625,
0.015869140625,
-0.01153564453125,
0.140625,
-0.08984375,
0.083984375,
... | 21,562 | 21562 | |
Finding local min, max, and saddle points in multivariable calculus
1. The problem statement, all variables and given/known data
Find the local maximum and minimum values and saddle point(s) of the function.
f(x,y) = 1 + 2xy - x^2 - y^2
2. Relevant equations
The Second Derivative Test: let D = D(a,b) = fxx(a,b)*fyy... | 5 | [
0.08203125,
-0.06591796875,
-0.0234375,
-0.08154296875,
-0.0069580078125,
-0.006500244140625,
-0.07421875,
0.050048828125,
0.022705078125,
0.025634765625,
-0.01458740234375,
0.0155029296875,
0.0673828125,
0.0419921875,
0.014404296875,
0.0498046875,
0.0242919921875,
-0.0693359375,
... | 21,563 | 21563 | |
Help me out these easy geometry problems.?
January 14th 2013, 07:39 PM #1
Newbie
Joined
Oct 2012
From
chennai
Posts
18
I want the explanation too, cause i don't understand the question properly and then put it clearly, cause i am just 8th class student. best of answers will be given 5 *'s, plus a thum... | 4 | [
-0.0196533203125,
0.09130859375,
-0.019287109375,
-0.058837890625,
0.00567626953125,
0.047119140625,
0.01275634765625,
0.08837890625,
0.050537109375,
-0.016357421875,
0.10009765625,
-0.07958984375,
0.00897216796875,
0.034912109375,
0.037353515625,
-0.016845703125,
-0.0888671875,
-0... | 21,564 | 21564 | |
Solving a Slope-Intercept Form Equation Help?
November 20th 2011, 04:31 PM #1
Junior Member
Joined
Nov 2011
Posts
28
Solving a Slope-Intercept Form Equation Help?
Hello everyone, I have a small issue while solving an equation in the form of slope-intercept, they give me an equation and ask me to solve it... | 4 | [
-0.064453125,
-0.047607421875,
-0.0634765625,
-0.04345703125,
0.0235595703125,
0.0654296875,
0.0030670166015625,
-0.0303955078125,
-0.01806640625,
0.0634765625,
0.0712890625,
0.014892578125,
0.042236328125,
-0.034423828125,
0.0791015625,
0.09814453125,
-0.10498046875,
0.00561523437... | 21,565 | 21565 | |
Unified Approach of Unmanned Surface Vehicle Navigation in Presence of Waves
Journal of Robotics
Volume 2011 (2011), Article ID 703959, 8 pages
http://dx.doi.org/10.1155/2011/703959
Research Article
Unified Approach of Unmanned Surface Vehicle Navigation in Presence of Waves
Department of Mechanical Engineering, Tec... | 4 | [
-0.03271484375,
0.029296875,
0.01300048828125,
-0.0458984375,
0.0179443359375,
-0.0986328125,
-0.056640625,
0.003509521484375,
-0.099609375,
0.053955078125,
0.035888671875,
0.01422119140625,
0.048828125,
-0.064453125,
0.046875,
0.06298828125,
0.02685546875,
-0.01513671875,
-0.003... | 21,566 | 21566 | |
Application of a Channel Estimation Algorithm to Spectrum Sensing in a Cognitive Radio Context
International Journal of Antennas and Propagation
Volume 2014 (2014), Article ID 506457, 13 pages
http://dx.doi.org/10.1155/2014/506457
Research Article
Application of a Channel Estimation Algorithm to Spectrum Sensing in a... | 4 | [
0.03857421875,
0.0252685546875,
-0.04052734375,
0.005950927734375,
-0.002227783203125,
-0.0228271484375,
0.111328125,
0.00555419921875,
0.0147705078125,
0.04443359375,
-0.0084228515625,
0.010498046875,
0.09130859375,
0.033447265625,
-0.043212890625,
-0.03955078125,
0.1083984375,
-0... | 21,567 | 21567 | |
Geometric Progression rejection
May 8th 2011, 05:06 AM #1
Super Member
Joined
Dec 2009
Posts
755
[SOLVED] Geometric Progression rejection
A geometric progression has first term $a$ and common ratio $r$. The sum of the first three terms is $4.88$ and the sum to infinity is $10$.
Find the values of $a... | 4 | [
-0.0791015625,
0.0166015625,
-0.06982421875,
-0.04931640625,
-0.0181884765625,
-0.019775390625,
-0.0022430419921875,
-0.004791259765625,
0.0255126953125,
0.0556640625,
-0.01055908203125,
0.01031494140625,
0.051025390625,
0.0751953125,
-0.002716064453125,
-0.0230712890625,
-0.05395507... | 21,568 | 21568 | |
Math Help
April 28th 2009, 11:15 AM #1
Integral
Hi
So this is something that came from a problem we did in probability. I hope it's a correct result, since I modified it a bit.
So I know the probabilitistic way to prove it. If you can find, then do it (but you'd have to know where you're going).
Oth... | 5 | [
0.02880859375,
0.06884765625,
0.0125732421875,
-0.02294921875,
0.0279541015625,
0.004364013671875,
0.05615234375,
-0.03857421875,
-0.0289306640625,
0.0693359375,
-0.027099609375,
0.0002574920654296875,
-0.019775390625,
0.058349609375,
-0.12451171875,
-0.00167083740234375,
0.052246093... | 21,569 | 21569 | |
Proposition 3
To find the greatest common measure of three given numbers not relatively prime.
Let A, B, and C be the three given numbers not relatively prime.
It is required to find the greatest common measure of A, B, and C.
Take the greatest common measure, D, of the two numbers A and B. Then either D measures, ... | 4 | [
-0.00147247314453125,
0.0118408203125,
-0.052734375,
-0.19140625,
-0.03076171875,
0.03173828125,
0.03857421875,
0.03466796875,
0.017578125,
0.02783203125,
-0.05322265625,
-0.036376953125,
0.03466796875,
0.035400390625,
0.025634765625,
-0.039794921875,
-0.029052734375,
0.08837890625... | 21,570 | 21570 | |
Patent US5222204 - Pixel interpolation in perspective space
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a method and apparatus for interpolating display pixels in perspective space, and more particularly, to a pixel processor which scales the display parameters of each
displ... | 4 | [
-0.10302734375,
-0.006072998046875,
-0.08154296875,
-0.12158203125,
-0.03271484375,
-0.0419921875,
-0.0191650390625,
0.037109375,
0.041748046875,
-0.04443359375,
-0.038818359375,
-0.0238037109375,
0.06689453125,
0.014404296875,
-0.11279296875,
-0.033203125,
-0.02734375,
0.076660156... | 21,571 | 21571 | |
Integrating Functions with Discontinuities
February 22nd 2009, 06:55 PM #1
Member
Joined
Oct 2008
Posts
135
Integrating Functions with Discontinuities
Hey, I've got a real analysis question here. Any help would be greatly appreciated:
Let f(x) = {1 if x = 1/n for some n Є N
{0 otherwise
Sho... | 4 | [
-0.03564453125,
-0.037353515625,
0.06591796875,
0.0693359375,
0.053466796875,
-0.05224609375,
0.0498046875,
0.08349609375,
-0.0634765625,
-0.095703125,
-0.11279296875,
-0.068359375,
0.009765625,
-0.0040283203125,
-0.06494140625,
-0.076171875,
0.040283203125,
-0.08984375,
0.100585... | 21,572 | 21572 | |
Patent US6389084 - Apparatus and method for equalizing a signal independent of the impact of doppler frequency
FIELD OF THE INVENTION
1. Technical Field
The present invention relates to a technique for selecting optimum equalization learning parameters in a mobile communication system based on estimation of Doppler f... | 4 | [
-0.020751953125,
0.041259765625,
0.00174713134765625,
-0.0086669921875,
-0.08154296875,
-0.06298828125,
0.06494140625,
0.04150390625,
-0.005706787109375,
-0.0037384033203125,
0.0146484375,
0.046875,
0.11767578125,
-0.076171875,
-0.033935546875,
0.0025787353515625,
0.025146484375,
0... | 21,573 | 21573 | |
Applied math problem: library collection development
March 31st 2011, 10:45 AM
istril
Applied math problem: library collection development
First of all, this is my first post here. I struggled with forum selection. If there is a more appropriate forum, I hope mods will assist me in moving the thread.
I am u... | 4 | [
0.000965118408203125,
0.03662109375,
-0.04638671875,
-0.002044677734375,
-0.057861328125,
0.000396728515625,
-0.03955078125,
0.0299072265625,
0.05322265625,
0.06689453125,
-0.0283203125,
-0.056396484375,
0.08447265625,
0.038330078125,
-0.004241943359375,
-0.004302978515625,
0.0149536... | 21,574 | 21574 | |
Integral Theorem
March 15th 2009, 01:29 PM
manjohn12
Integral Theorem
Theorem. Let $f$ and $g$ be real valued functions that are Riemann integrable on $[a,b]$. Then the following statements hold:
1. The function $f+g$ is Riemann integrable on $[a,b]$ and $\int_{a}^{b} (f+g) = \int_{a}^{b} f + \int_{a}^{b} g... | 5 | [
-0.04150390625,
-0.00970458984375,
0.032470703125,
-0.0791015625,
0.0274658203125,
0.056396484375,
0.1396484375,
-0.0164794921875,
-0.08642578125,
0.04150390625,
-0.0654296875,
0.05078125,
0.025146484375,
-0.03759765625,
0.02099609375,
-0.0810546875,
-0.00408935546875,
0.0197753906... | 21,575 | 21575 | |
basic calculations
October 17th 2010, 01:42 AM #1
Newbie
Joined
Mar 2010
Posts
13
basic calculations
Q. In the following rectangle sheet of 1X10, two numbers are shown. Fill the remaining rectangles by real numbers such that the sum of the numbers in any three neighbouring squares is a constant
and t... | 4 | [
-0.043212890625,
0.07177734375,
-0.051513671875,
-0.06591796875,
-0.09814453125,
0.058837890625,
0.042236328125,
-0.0294189453125,
-0.03759765625,
0.0186767578125,
0.0012969970703125,
-0.024658203125,
0.064453125,
-0.0286865234375,
-0.08935546875,
-0.03515625,
-0.0439453125,
0.0473... | 21,576 | 21576 | |
Is there any way to derive an equation for compound interest based...
ainster31
I am aware of this equation for compound interest based on nominal interest:
$$F=P{ e }^{ rt }\\ where\quad r=nominal\quad annual\quad interest\\ and\quad t=number\quad of\quad years$$
How would I modify it for effective interest?
Thi... | 4 | [
0.0390625,
0.046630859375,
-0.0299072265625,
0.0035552978515625,
-0.02099609375,
-0.06982421875,
0.02978515625,
0.04638671875,
0.000072479248046875,
0.1328125,
0.0308837890625,
0.01226806640625,
-0.02685546875,
0.07470703125,
0.1083984375,
0.029541015625,
-0.05908203125,
0.08496093... | 21,577 | 21577 | |
Proof (metric spaces)
September 3rd 2010, 07:03 PM #1
Member
Joined
Sep 2010
Posts
86
Proof (metric spaces)
Hello everybody,
I am stuck with a proof of which I think that I have an idea of how to solve it.
I have given two vectors $x,y \in R^k$ with $k >= 3$. I know that $|x-y| = d > 0$ and $r >... | 5 | [
-0.04296875,
0.0390625,
-0.057861328125,
-0.1044921875,
-0.00811767578125,
0.004913330078125,
0.08251953125,
0.026123046875,
-0.042236328125,
0.0654296875,
-0.0322265625,
-0.03515625,
0.020751953125,
0.044677734375,
0.001495361328125,
-0.01025390625,
0.0615234375,
-0.01287841796875... | 21,578 | 21578 | |
another quadratic equation
July 15th 2007, 04:48 PM #1
Junior Member
Joined
Jul 2007
Posts
30
another quadratic equation
Let f(t) represent the number of new U.S. Hotel openings in the year that is t years since 1990. A possible equation for f is f(t)=-37.36t^2+559.33t-595.31
Find when f(t)=700. Wha... | 4 | [
0.036865234375,
0.033935546875,
-0.004638671875,
0.06298828125,
-0.01171875,
0.09375,
-0.033203125,
0.0625,
-0.035400390625,
0.057373046875,
0.057373046875,
-0.09375,
0.044921875,
0.0361328125,
0.03271484375,
-0.022705078125,
-0.07470703125,
-0.091796875,
0.03857421875,
-0.0291... | 21,579 | 21579 | |
Annuity Question
January 18th 2009, 10:20 AM #1
Newbie
Joined
Jan 2009
Posts
1
Annuity Question
Q10 - You want to buy an annuity that will pay you £1000 per year for the next 6 years. The first payment will be made to you in one year's time. What is the maximum you should pay, if you
estimate that yo... | 5 | [
0.031982421875,
0.033447265625,
-0.0250244140625,
-0.060791015625,
-0.051025390625,
-0.004058837890625,
0.00160980224609375,
0.047607421875,
-0.0146484375,
0.06884765625,
-0.06640625,
-0.03466796875,
-0.01171875,
0.0240478515625,
0.000865936279296875,
0.09326171875,
-0.09326171875,
... | 21,580 | 21580 | |
Visualizing Galois Fields
Visualizing Galois Fields May 17th, 2012
Patrick Stein
Galois fields are used in a number of different ways. For example, the AES encryption standard uses them.
Arithmetic in Galois Fields
The Galois fields of size $2^n$ for various $n$ are convenient in computer applications because of how... | 5 | [
0.0849609375,
-0.012451171875,
-0.07373046875,
0.0020904541015625,
0.0302734375,
-0.060302734375,
-0.033447265625,
-0.01806640625,
0.10498046875,
-0.05029296875,
-0.043212890625,
-0.000518798828125,
0.017578125,
-0.046875,
-0.041748046875,
0.05615234375,
-0.08837890625,
0.032958984... | 21,581 | 21581 | |
Proof of two similar matrices have same eigenvalue and a question
December 3rd 2011, 03:36 PM #1
Proof of two similar matrices have same eigenvalue and a question
Theorem:
I've a question regarding the proof of a theorem.
There is a theorem in my linear algebra book that states:
"If $A$ and $B$ are... | 5 | [
-0.078125,
-0.029052734375,
-0.040283203125,
-0.05126953125,
0.004974365234375,
-0.035888671875,
0.06787109375,
-0.0218505859375,
-0.0208740234375,
-0.068359375,
0.0240478515625,
0.072265625,
0.0400390625,
0.00946044921875,
0.0108642578125,
0.0498046875,
0.041748046875,
-0.08642578... | 21,582 | 21582 | |
Root Finding - GNU Emacs Calc Manual
11.7.1 Root Finding
The a R (calc-find-root) [root] command finds a numerical solution (or root) of an equation. (This command treats inequalities the same as equations. If the input is any other kind of formula, it is
interpreted as an equation of the form ‘X = 0’.)
The a R comma... | 4 | [
-0.1123046875,
-0.02197265625,
-0.03369140625,
0.051025390625,
0.025634765625,
-0.08251953125,
-0.0576171875,
0.07568359375,
0.053466796875,
0.058837890625,
0.08837890625,
0.003875732421875,
0.0419921875,
0.056640625,
0.01141357421875,
-0.0277099609375,
-0.11279296875,
-0.065917968... | 21,583 | 21583 | |
Work problem: Representations in the problem
November 16th 2013, 06:26 PM #1
Work problem: Representations in the problem
Alex can pour on a walkway in x hours alone while Andy can pour concrete on the same way in two more hours than Alex.
a. How fast can they pour concrete on the walkway if they work togeth... | 4 | [
-0.05078125,
0.0279541015625,
0.0537109375,
-0.04052734375,
-0.0089111328125,
0.0184326171875,
0.02392578125,
-0.05078125,
0.023193359375,
-0.05419921875,
-0.061767578125,
-0.027099609375,
0.0274658203125,
0.0703125,
-0.021484375,
0.0228271484375,
0.0306396484375,
-0.0498046875,
... | 21,584 | 21584 | |
Homomorphisms, fields and maximal ideals
December 11th 2012, 11:32 AM
Piuzza12
Homomorphisms, fields and maximal ideals
Hi,
I was wondering if someone would be able to give me a hint on this problem I am working on. The problem sates: "If f: A-->B is a homomorphism from A onto B, and B is a field, then the ... | 5 | [
0.01409912109375,
0.0703125,
-0.040283203125,
-0.005706787109375,
-0.0223388671875,
-0.0245361328125,
0.12890625,
0.0208740234375,
-0.0286865234375,
-0.0615234375,
-0.0322265625,
0.00299072265625,
-0.0211181640625,
-0.06640625,
0.00982666015625,
0.0927734375,
0.0036163330078125,
0.... | 21,585 | 21585 | |
Math Help
The only way I can construct a solution is if $cos(x) = 1$ and $cos(2x) = 1$ and $cos(3x) = 1$ or any two of these is equal to -1 and the remaining is equal to 1. The solution to the first set of
equations is, for example $x = \frac{\pi}{2} + 2n \pi$ and $x = \frac{\pi}{4} + k \pi$ and $x = \frac{\pi}{6} + p... | 4 | [
-0.05712890625,
-0.040771484375,
-0.0021514892578125,
0.05517578125,
-0.06201171875,
0.072265625,
0.0908203125,
0.039306640625,
-0.01422119140625,
-0.015380859375,
-0.00537109375,
-0.0869140625,
0.0028533935546875,
0.0126953125,
-0.0162353515625,
-0.10205078125,
-0.03466796875,
-0.... | 21,586 | 21586 | |
The Birthday Problem (another probability question)
April 28th 2007, 09:54 AM #1
Junior Member
Joined
Jul 2006
From
Singapore
Posts
55
The Birthday Problem (another probability question)
A room contains n randomly chosen people.
(a) Assume that a randomly chosen people is equally likely to have ... | 5 | [
0.048583984375,
0.0986328125,
0.03955078125,
0.039794921875,
-0.01470947265625,
0.0478515625,
0.10107421875,
-0.004364013671875,
-0.06591796875,
0.050048828125,
0.0341796875,
-0.087890625,
0.001800537109375,
-0.021484375,
0.0546875,
-0.04248046875,
-0.057861328125,
-0.03857421875,
... | 21,587 | 21587 | |
Placement tests
June 18th 2007, 07:55 AM
michele921
Placement tests
I have to take a placement test for my college orientation, and i have no problem with the highschool level math, but the college level looks rediculous.:confused:
if i post the link then maybe someone could explain how to do it? its really... | 4 | [
-0.0303955078125,
-0.025146484375,
0.06787109375,
-0.00176239013671875,
0.00811767578125,
0.0086669921875,
-0.0211181640625,
-0.003814697265625,
-0.03271484375,
0.028564453125,
0.05517578125,
-0.01116943359375,
0.07861328125,
-0.01904296875,
-0.0196533203125,
0.01806640625,
-0.071777... | 21,588 | 21588 | |
Geometery Formula for number of edges
October 5th 2006, 05:56 PM
OnMyWayToBeAMathProffesor
Geometery Formula for number of edges
HELLO, I REALLY NEED HELP TO FIND THE GEOMETERY FORMULA FOR THIS EQUATION. I FOULD OUT IT HAS TO BE AN EXPONOTIONAL FORMULA. HERE ARE THE SPEFICS...
I have a figure, if it has on... | 4 | [
-0.00933837890625,
-0.026123046875,
-0.03955078125,
-0.03076171875,
-0.046875,
-0.0242919921875,
-0.0224609375,
0.057861328125,
-0.0089111328125,
0.0252685546875,
-0.00408935546875,
-0.09619140625,
-0.01904296875,
0.07470703125,
0.0096435546875,
0.07177734375,
-0.07177734375,
0.015... | 21,589 | 21589 | |
Wolfram Demonstrations Project
Galileo's Paradox
The blue bead falls straight down to the bottom of the circle along the vertical green wire.
The red bead starts at a lower point and slides without fraction diagonally, finishing at the same point as the blue bead.
Can you predict which bead will reach the bottom fir... | 5 | [
-0.0228271484375,
-0.05322265625,
0.00107574462890625,
0.00714111328125,
0.0169677734375,
0.01104736328125,
-0.07421875,
0.039794921875,
0.042724609375,
-0.072265625,
-0.0247802734375,
0.01092529296875,
-0.043701171875,
0.04833984375,
-0.09423828125,
0.00121307373046875,
-0.039306640... | 21,590 | 21590 | |
ACT Math – Trigonometry Sample Question
Posted on June 9, 2013 by Calvin
One of the main differences between ACT Math and SAT Math is that the ACT tests trigonometry, while the SAT does not. So, what kinds of trig questions can you expect to see on the ACT? Consider the
following typical problem:
Which of the follow... | 4 | [
-0.0927734375,
-0.0201416015625,
-0.032470703125,
-0.0013580322265625,
-0.056396484375,
-0.0301513671875,
-0.02392578125,
0.03662109375,
0.029052734375,
0.056884765625,
0.000823974609375,
-0.0693359375,
0.00970458984375,
0.07861328125,
0.11474609375,
-0.08642578125,
-0.016845703125,
... | 21,591 | 21591 | |
Guassian infinite sheet and charge with kinetic energy
1. The problem statement, all variables and given/known data
two infinite sheets of charge (one positive, one negative) are arranged parallel to each other and separated by a distance of 2m. a charge of 3 microcoulombs is realeased at the positive plate. when
it r... | 4 | [
-0.07568359375,
0.06494140625,
-0.08203125,
-0.020263671875,
0.032470703125,
-0.038818359375,
0.0654296875,
0.0238037109375,
0.02734375,
0.0277099609375,
0.12158203125,
-0.0986328125,
0.00775146484375,
0.0732421875,
-0.0228271484375,
-0.09765625,
-0.0576171875,
-0.054443359375,
-... | 21,592 | 21592 | |
Homeomorphic finer topology
Find two different topologies on $\mathbb{R}$ where one is strictly finer, yet the two are homeomorphic
$(Z, T_1)$ and $(Q, T_2)$ as subspaces of R with a discrete topology. Let $B_1$ and $B_2$ be bases for topologies $T_1$ and $T_2$. $T_2$ is strictly finer than $T_1$, since for each x in ... | 5 | [
0.041015625,
-0.04052734375,
0.00144195556640625,
-0.02978515625,
0.012939453125,
-0.02587890625,
0.06884765625,
0.0024261474609375,
0.027099609375,
-0.06591796875,
-0.0341796875,
-0.0546875,
0.06689453125,
0.06689453125,
0.080078125,
-0.0012664794921875,
0.0277099609375,
0.0039367... | 21,593 | 21593 | |
[SOLVED] REALLY hard supply and demand equation
September 4th 2005, 08:49 PM
Clarice123
[SOLVED] REALLY hard supply and demand equation
Pasta Imports-- During the period 1990-2001, U.S. imports of pasta increased from 290 million pounds in 1990(t=0) by an average of 40 million pounds/year.
a) Use these data ... | 4 | [
-0.08984375,
-0.036865234375,
0.01611328125,
0.06591796875,
-0.037841796875,
0.056396484375,
-0.06494140625,
0.058349609375,
-0.058837890625,
-0.056396484375,
0.0245361328125,
-0.07177734375,
0.0595703125,
0.00909423828125,
-0.0380859375,
0.0245361328125,
-0.04150390625,
-0.0957031... | 21,594 | 21594 | |
S
In topological graph theory, we consider ways of drawing graphs on surfaces without crossing lines. Attempting to draw permutation chord diagrams on orientable surfaces, we find a surprise: the
`genus' of a permutation is equal to the `block interchange distance' from that permutation to the identity. Further... | 4 | [
-0.0810546875,
-0.05810546875,
-0.03076171875,
-0.06201171875,
-0.051025390625,
0.013671875,
-0.036376953125,
0.046875,
0.0213623046875,
-0.00726318359375,
0.07666015625,
-0.004241943359375,
-0.0189208984375,
0.006927490234375,
-0.080078125,
0.0751953125,
-0.10205078125,
-0.0258789... | 21,595 | 21595 | |
Eigenevectors and Eigenvalues
September 26th 2012, 09:27 PM
Ants
Eigenevectors and Eigenvalues
Suppose A is a symmetric N × N matrix with eigenvectors vi, i = 1, 2, 3… N with
corresponding eigenvalues λi, i = 1, 2,3 …N.
Pick any two distinct eigenvalues (assuming such a pair exists). Let's call them ... | 5 | [
-0.06005859375,
0.01434326171875,
0.04150390625,
-0.052490234375,
0.0220947265625,
-0.004302978515625,
0.01483154296875,
-0.045166015625,
-0.0693359375,
0.0250244140625,
0.03271484375,
-0.029296875,
-0.0546875,
0.004180908203125,
0.03271484375,
0.05712890625,
-0.006927490234375,
0.... | 21,596 | 21596 | |
3 ques regarding diffrentiation: Taylor Polynomial, Newton-Raphson
Hello, to #3: You are supposed to know the Raphson-Newton formula: If you are looking for the solutions of T(x) = 0 where T(x) is a term in x and you have found an initial approximate value for a
solution then the next approximate value is: $x_{n+1}=x_n... | 5 | [
-0.1416015625,
-0.043212890625,
0.003814697265625,
0.0230712890625,
-0.01092529296875,
-0.060546875,
-0.0625,
0.01214599609375,
0.03076171875,
-0.0004749298095703125,
0.11572265625,
-0.00099945068359375,
-0.0245361328125,
-0.0546875,
-0.052978515625,
-0.03271484375,
-0.053466796875,
... | 21,597 | 21597 | |
Finding a specific homomorphism as an example of a theorem
May 13th 2011, 11:13 AM #1
Finding a specific homomorphism as an example of a theorem
I am trying to construct an example of a theorem from my Algebra text.
If $f: G \to H$ is a homomorphism of groups and N is a normal subgroup of G contained in the ... | 5 | [
-0.03515625,
0.07958984375,
0.02783203125,
0.002716064453125,
0.007080078125,
-0.023681640625,
0.0185546875,
-0.0517578125,
-0.026123046875,
-0.0830078125,
0.080078125,
-0.033935546875,
0.02978515625,
-0.087890625,
0.000476837158203125,
0.01806640625,
-0.050537109375,
0.099609375,
... | 21,598 | 21598 | |
[SOLVED] Differential Equation General Solution Help
September 28th 2008, 11:57 PM
jwade456
[SOLVED] Differential Equation General Solution Help
hey guys, i'm really struggling with this and need someone to point me in the right direction, any help at all would be greatly appreciated!
Find the general solut... | 4 | [
-0.08642578125,
-0.01708984375,
0.125,
-0.00176239013671875,
0.0203857421875,
-0.03271484375,
0.01708984375,
-0.0091552734375,
-0.09033203125,
0.0322265625,
0.035400390625,
0.00775146484375,
-0.036376953125,
0.0067138671875,
-0.031005859375,
0.04443359375,
-0.00482177734375,
-0.021... | 21,599 | 21599 |