content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Need simple(?) algebra help please!
October 16th 2012, 10:41 AM
clc98
Need simple(?) algebra help please!
I'm not sure how to solve for these types of algebra equations. Could you please tell me the steps required?
1. 170(x) - 70 (1-x) = 0. Solve for x. X should be 0.292 but I am having trouble finding out ... | 4 | [
-0.06201171875,
0.06298828125,
0.064453125,
0.0322265625,
-0.0279541015625,
-0.035400390625,
0.05419921875,
-0.013671875,
-0.08251953125,
0.05859375,
0.04541015625,
-0.123046875,
0.107421875,
0.056396484375,
0.0015411376953125,
0.0228271484375,
-0.0703125,
-0.01708984375,
-0.0299... | 18,400 | 18400 | |
Post subject: Quotient Group is isomorphic to the Circle Group
December 2nd 2012, 11:07 AM #1
Newbie
Joined
Nov 2012
From
USA
Posts
22
Post subject: Quotient Group is isomorphic to the Circle Group
A portion of a homework problem was given me to solve for practice. I have solved some but not all of t... | 5 | [
-0.13671875,
0.045166015625,
-0.046142578125,
0.037109375,
-0.00811767578125,
-0.03369140625,
0.09423828125,
-0.0240478515625,
-0.0135498046875,
-0.1318359375,
0.150390625,
-0.08154296875,
0.0128173828125,
-0.0137939453125,
0.037353515625,
-0.0634765625,
-0.06982421875,
0.019165039... | 18,401 | 18401 | |
Newton's law of cooling
August 5th 2012, 06:11 AM #1
Newbie
Joined
Aug 2012
From
UK
Posts
9
Newton's law of cooling leads to a mathematical model of the cooling of a hot cup of coffee. The temperature of the coffee at any time is given by the solution of the following differential
equation
... | 5 | [
-0.058837890625,
-0.01904296875,
0.09814453125,
0.0859375,
0.047607421875,
-0.035400390625,
-0.04833984375,
0.044189453125,
0.0120849609375,
0.11181640625,
0.05078125,
-0.0810546875,
0.03271484375,
0.0439453125,
0.0042724609375,
-0.038818359375,
-0.015869140625,
-0.004608154296875,... | 18,402 | 18402 | |
Simple calculation of the self inductance of two coaxial solenoids in series?
individual61
Hi all,
The situation is this: I need to calculate the self inductance of two solenoids wired in series, of equal radius and a given separation d. They are coaxial. The length h of each is known.
Most double-solenoid referen... | 4 | [
-0.1259765625,
0.037841796875,
-0.048583984375,
-0.004791259765625,
-0.0238037109375,
-0.056640625,
-0.0849609375,
0.0986328125,
-0.02001953125,
-0.1201171875,
-0.0294189453125,
0.0218505859375,
0.0361328125,
-0.0751953125,
-0.0279541015625,
0.034912109375,
-0.056884765625,
0.06225... | 18,403 | 18403 | |
When integreating by parts, how to choose u and v'?
December 7th 2012, 08:30 PM
anees7112
When integreating by parts, how to choose u and v'?
Hello, I never really understood how to choose the u and the v' when integrating by parts. I know if you choose the wrong one sometimes you end up in a loop.
For the ... | 5 | [
0.01190185546875,
-0.048095703125,
0.09814453125,
-0.080078125,
0.0556640625,
-0.0220947265625,
0.03466796875,
-0.015625,
-0.0252685546875,
-0.048583984375,
0.0615234375,
-0.0013427734375,
-0.032958984375,
0.0390625,
-0.061279296875,
-0.064453125,
-0.07177734375,
-0.024658203125,
... | 18,404 | 18404 | |
Gradeway.com - Your source for a better education!
Finding the volume of any shape is the equivalent of finding out "how much liquid it can hold." This requires a bit more calculation than finding the area of a shape, because we need to be aware of
THREE values (since the volume implies a 3D shape.) These values are th... | 4 | [
0.10400390625,
-0.0177001953125,
0.000659942626953125,
-0.029052734375,
-0.053466796875,
-0.0673828125,
-0.033935546875,
0.0185546875,
0.034912109375,
-0.03759765625,
-0.1474609375,
-0.03759765625,
0.00469970703125,
0.08984375,
0.0262451171875,
-0.0458984375,
0.01446533203125,
0.09... | 18,405 | 18405 | |
Ratios
October 26th 2009, 10:04 AM
Ideasman
Ratios
The jewels in a crown consist of diamonds, rubies, and emeralds. If the ratio of diamonds to rubies is 5/6 and the ratio of rubies to emeralds is 8/3, what is the least # of jewels that could be
in the tiara?
October 26th 2009, 12:14 PM
HallsofIvy
Let... | 4 | [
-0.0400390625,
0.0213623046875,
-0.0012054443359375,
0.0177001953125,
0.021240234375,
0.0274658203125,
0.01318359375,
0.044677734375,
-0.028564453125,
-0.0218505859375,
-0.0869140625,
-0.053466796875,
0.040771484375,
0.021728515625,
0.01104736328125,
-0.000732421875,
-0.04296875,
0... | 18,406 | 18406 | |
Physics Forums - Gravity on the surface of a Hollow Earth
Quote:
Quote by Doc Al
I don't think so. Taking a simplified model of a spherically symmetric earth, as long as the symmetry is maintained it doesn't matter if all the mass were contained in a thin shell: the gravitational
field outside the shell will be the ... | 5 | [
0.056396484375,
0.009033203125,
0.060791015625,
-0.02099609375,
0.002227783203125,
-0.10791015625,
-0.0281982421875,
0.03857421875,
-0.0007781982421875,
-0.024169921875,
-0.0111083984375,
-0.0291748046875,
-0.0174560546875,
0.014892578125,
0.08251953125,
-0.05908203125,
0.01177978515... | 18,407 | 18407 | |
unbiased estimator
September 13th 2008, 06:36 AM
PvtBillPilgrim
unbiased estimator
I want to show that the following estimator is unbiased:
s^2 = SSE/(n-2) = [sum from i = 1 to n of (yi - yi*)^2]/(n-2) = [sum from i = 1 to n of (yi - b0 - b1xi)^2]/(n-2)
For it to be unbiased E(s^2) must equal sigma^2.
... | 5 | [
-0.0361328125,
0.01611328125,
0.002655029296875,
0.0673828125,
0.01318359375,
0.09716796875,
0.040283203125,
0.01904296875,
0.06201171875,
-0.042236328125,
-0.03125,
0.01220703125,
0.044921875,
-0.10693359375,
-0.055908203125,
0.01904296875,
0.05126953125,
-0.02978515625,
-0.0502... | 18,408 | 18408 | |
Sequences and closed sets.
Hi. I actually laughed out loud when I went back here after only ten minutes and saw that you had already replied.
micromass
Every closed set of a topological space is closed under limits of sequences! It's the converse that's not true.
Ah yes. I actually had that right in my mind a few ... | 4 | [
-0.00897216796875,
-0.061767578125,
-0.0123291015625,
0.024658203125,
-0.001312255859375,
0.1015625,
0.07373046875,
-0.0035552978515625,
0.08642578125,
-0.00396728515625,
0.02294921875,
-0.04931640625,
-0.047119140625,
-0.01806640625,
0.01031494140625,
-0.01446533203125,
-0.053466796... | 18,409 | 18409 | |
Calculus 4: differentials
September 16th 2008, 03:22 PM #1
Junior Member
Joined
Sep 2008
Posts
44
Calculus 4: differentials
Hello everyone,
Could you please tell me if this looks right?
Find the differential of f(x,y)=square root(x^2+y^3) (1,2)
and estimate f(1.04, 1.98)
fx=1/2(x^2+y^... | 5 | [
0.00885009765625,
-0.054931640625,
0.00127410888671875,
0.016845703125,
-0.025390625,
-0.018310546875,
-0.05078125,
0.0269775390625,
0.01544189453125,
0.050537109375,
0.068359375,
-0.035400390625,
0.0257568359375,
0.0005340576171875,
-0.0238037109375,
0.0174560546875,
-0.12109375,
... | 18,410 | 18410 | |
Linear Systems of Equations
Solution of Linear Systems of Equations
by numerical-methods.com
A system of linear algebraic equations has the form
a[1,1] x[1] + a[1,2] x[2] + .... + a[1,N] x[N] = b[1]
a[2,1] x[1] + a[2,2] x[2] + ...... | 4 | [
-0.08203125,
-0.060302734375,
-0.0810546875,
-0.056884765625,
0.007110595703125,
0.0172119140625,
0.026123046875,
-0.09326171875,
-0.0167236328125,
-0.01123046875,
0.01373291015625,
0.06787109375,
0.07373046875,
-0.050537109375,
-0.007537841796875,
0.10205078125,
0.0228271484375,
0... | 18,411 | 18411 | |
hyperbolic metric
March 24th 2010, 12:30 PM #1
Newbie
Joined
Mar 2009
Posts
7
hyperbolic metric
Suppose $f: \mathbb{D} \rightarrow \mathbb{D}$ is an analytic function from the unit disk into itself with a fixed point at $z_0 \in \mathbb{D}$. Show that the stretching at $z_0$ of $f(z)$ in
the hyperbol... | 4 | [
-0.03515625,
0.0458984375,
-0.0036468505859375,
-0.00921630859375,
0.0546875,
-0.01348876953125,
-0.03466796875,
0.10009765625,
-0.0263671875,
-0.040283203125,
0.057861328125,
-0.0400390625,
0.033935546875,
0.00531005859375,
-0.00738525390625,
-0.03515625,
-0.017822265625,
-0.07812... | 18,412 | 18412 | |
prove
prove that in any group, an element and its inverse have the same order.(Headbang)
let $a$ be in $G$ and let $n\in \mathbb{Z}^+$ be the order of $a$, i.e. $n$ be the smallest positive integer such that $a^n=e$ then $(a^{-1})^n = e$. suppose there exists a positive integer $m <n$
such that $(a^{-1})^m= e$. then $... | 4 | [
-0.078125,
0.072265625,
0.07666015625,
0.024169921875,
-0.033935546875,
-0.04541015625,
0.0234375,
-0.0322265625,
0.033447265625,
0.0162353515625,
0.0196533203125,
0.07470703125,
0.054931640625,
-0.08544921875,
-0.02001953125,
0.051513671875,
0.05810546875,
0.07275390625,
-0.0590... | 18,413 | 18413 | |
Linear equation system
May 14th 2010, 06:29 AM #1
Newbie
Joined
Feb 2010
Posts
12
Linear equation system
So... I've got the above linear equation system. I need to find alpha1 and alpha2, the rest is assumed as known. I was thinking of solving it by solving first equation for sina1 which equals to
... | 4 | [
-0.09521484375,
-0.0235595703125,
-0.05859375,
-0.05810546875,
0.01708984375,
-0.03515625,
-0.05419921875,
-0.0057373046875,
0.0269775390625,
-0.00738525390625,
0.04296875,
-0.031982421875,
-0.06005859375,
-0.0164794921875,
0.00069427490234375,
0.0274658203125,
-0.0228271484375,
0.... | 18,414 | 18414 | |
Differential Equation Problem
November 4th 2008, 02:58 PM
eugenius
Differential Equation Problem
A spherical mothball evaporates uniformly at a rate proportional to its surface area. Hence deduce a differential equation that links its radius with time. Given that the radius halves in one
month, how long will... | 5 | [
0.005859375,
0.0218505859375,
0.019775390625,
0.049072265625,
0.056884765625,
-0.016357421875,
-0.0888671875,
0.05224609375,
0.007080078125,
0.0262451171875,
0.06005859375,
-0.01129150390625,
0.0035858154296875,
0.061279296875,
-0.0009918212890625,
0.011962890625,
-0.023193359375,
... | 18,415 | 18415 | |
Integral word problem
February 20th 2010, 10:02 AM #1
Junior Member
Joined
Feb 2009
Posts
64
Integral word problem
I have attempted to answer this question but come up with a number that just doesn't seem correct....please review my solution and let me know where I went wrong. Thanks!
Find f(2) if $... | 5 | [
-0.00933837890625,
-0.02490234375,
0.0084228515625,
-0.033203125,
-0.01104736328125,
-0.00396728515625,
-0.024169921875,
0.07275390625,
0.00396728515625,
0.0546875,
0.07421875,
-0.1953125,
-0.0031585693359375,
-0.00433349609375,
0.0220947265625,
-0.08251953125,
-0.019287109375,
0.0... | 18,416 | 18416 | |
Matrix Transformations
February 18th 2011, 05:44 PM
johnsy123
Matrix Transformations
With transformations of [3,2] and [2,-2], i am to find the image of the following equations(noting that each of the above transformations are treated separately for each equation:
a)y=|x|
b)y=x^2-3x
February 18th 2011,... | 4 | [
-0.030517578125,
0.0032806396484375,
-0.0703125,
-0.055908203125,
0.03857421875,
0.0205078125,
-0.0076904296875,
-0.0751953125,
-0.01300048828125,
-0.042236328125,
0.07080078125,
-0.00177001953125,
-0.01220703125,
-0.0042724609375,
0.042724609375,
0.07861328125,
-0.09716796875,
-0.... | 18,417 | 18417 | |
Doubly Related Rates problem
May 1st 2010, 09:43 AM #1
Newbie
Joined
May 2010
Posts
1
Doubly Related Rates problem
Could someone please help me figure this problem out?
A company, producing muesli bars, faces the demand equation x3+xp+p3=143 between price and quantity, where the quantity x is measur... | 5 | [
-0.038818359375,
0.045654296875,
0.00897216796875,
-0.05029296875,
-0.06103515625,
-0.06103515625,
-0.01434326171875,
0.041259765625,
0.0118408203125,
0.044921875,
0.058349609375,
-0.054443359375,
0.076171875,
0.02685546875,
0.0169677734375,
0.048583984375,
-0.0186767578125,
0.0164... | 18,418 | 18418 | |
Analysis of Average Shortest-Path Length of Scale-Free Network
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 865643, 5 pages
http://dx.doi.org/10.1155/2013/865643
Research Article
Analysis of Average Shortest-Path Length of Scale-Free Network
^1Department of Electronic Information and Electric Engine... | 4 | [
0.03857421875,
0.033203125,
-0.0135498046875,
0.053466796875,
0.0126953125,
-0.04638671875,
-0.08251953125,
0.068359375,
0.0220947265625,
-0.010986328125,
-0.00579833984375,
0.024169921875,
0.03466796875,
-0.01806640625,
-0.053466796875,
0.0159912109375,
-0.01904296875,
-0.03417968... | 18,419 | 18419 | |
Finding sample standard deviation
March 8th 2010, 06:45 PM #1
Junior Member
Joined
Jan 2010
Posts
65
Finding sample standard deviation
If a 90% confidence interval for $\sigma^2$ is reported to be (51.47,261.90), what is the value of the sample standard deviation.
Attempt:
$51.47<\sigma^2<261.90... | 4 | [
0.072265625,
0.040771484375,
0.054931640625,
0.04052734375,
-0.07568359375,
0.0078125,
-0.06787109375,
0.0771484375,
0.0103759765625,
0.01348876953125,
-0.002960205078125,
0.0283203125,
0.033447265625,
-0.0888671875,
0.011962890625,
-0.04052734375,
0.02880859375,
-0.06884765625,
... | 18,420 | 18420 | |
Physics Assignment - Efficiency of an Electrical Appliance - Kettle.
1. The problem statement, all variables and given/known data
Hey physicists. I have a problem. My assignment this term for physics is to test the efficiency of an electrical appliance, and to make suggestions on how to improve the efficiency for the f... | 4 | [
-0.006805419921875,
0.038330078125,
-0.0164794921875,
0.0517578125,
-0.05029296875,
-0.107421875,
-0.0228271484375,
-0.0322265625,
-0.0087890625,
0.0084228515625,
-0.0208740234375,
-0.046142578125,
0.0771484375,
-0.005401611328125,
-0.00909423828125,
-0.014892578125,
-0.039794921875,... | 18,421 | 18421 | |
implicit differentiation
Hi, Can anyone explain how I can find dy/dx of the following:[ 8Ye^(6XY)]=sin(4x) Many thanks Bryn
Hi Bryn $8y~e^{6xy} = \sin(4x)$ $\ln (8y~e^{6xy}) =\ln \sin(4x)$ $\ln(8y)+6xy=\ln \sin(4x)$ Now do the implicit differentiation
I can't seem to proceed easily, The answer I have worked out is as... | 5 | [
0.0035400390625,
-0.021240234375,
-0.0322265625,
-0.00433349609375,
-0.032958984375,
-0.005523681640625,
-0.0289306640625,
0.00909423828125,
0.05419921875,
-0.0130615234375,
0.1025390625,
0.0157470703125,
-0.009521484375,
0.060791015625,
0.05810546875,
0.036865234375,
-0.12451171875,... | 18,422 | 18422 | |
derivative of a logarithmic function
I have done it. It is done the usual way, derivative of (x + (x^2+k)^0.5)/(x + (x^2+k)^0.5).
Hello, Stuck Man! Quote: $\text{Show that the derivative of }\,y \:=\:\ln|x+\sqrt{x^2+k}| \,\text{ is: }\<y' \:=\:\frac{1}{\sqrt{x^2+k}}$ First, you do the Calculus (find the derivative), .... | 5 | [
0.10888671875,
-0.0037078857421875,
0.06591796875,
0.005523681640625,
-0.00860595703125,
-0.095703125,
0.02001953125,
-0.01092529296875,
0.03369140625,
0.08251953125,
0.0859375,
0.03076171875,
0.041015625,
0.004302978515625,
-0.103515625,
0.06884765625,
0.006378173828125,
-0.027587... | 18,423 | 18423 | |
Math Help
July 6th 2008, 07:50 PM #1
Junior Member
Joined
Apr 2008
Posts
30
level curves
construct a function whose level curves are lines passing through the origin.
i don't know how to express this function...can anyone help? is the center have to be 0,0 but i don't know how to write this...
... | 4 | [
-0.024169921875,
0.045166015625,
-0.004730224609375,
0.0262451171875,
-0.0546875,
0.0478515625,
-0.06689453125,
0.035400390625,
0.03125,
-0.039794921875,
0.1015625,
-0.0810546875,
0.04052734375,
0.0693359375,
0.00408935546875,
0.09619140625,
-0.06884765625,
-0.046630859375,
0.010... | 18,424 | 18424 | |
Problem Solving: Introduction to principles of computation
From Wikibooks, open books for an open world
Computing is a very different course from ICT and if you have studied ICT at secondary school you should see a big difference between the two. This course will introduce you to the theory,
mathematics and logic that... | 4 | [
-0.005706787109375,
0.053466796875,
0.01507568359375,
-0.046630859375,
-0.04052734375,
-0.1015625,
0.08984375,
0.05419921875,
-0.01220703125,
0.0888671875,
-0.09521484375,
0.00360107421875,
0.0830078125,
-0.042236328125,
0.04638671875,
0.01068115234375,
-0.11376953125,
-0.032470703... | 18,425 | 18425 | |
one simple and one tricky statics question
September 19th 2009, 09:17 PM #1
Newbie
Joined
Sep 2009
Posts
10
one simple and one tricky statics question
first i want to thank the readers in advance for their helpful comments.
I suppose we will begin with the simple one:
Solving for T is simple en... | 5 | [
-0.146484375,
0.0693359375,
0.0003032684326171875,
-0.033935546875,
-0.0272216796875,
0.08544921875,
-0.04150390625,
0.08935546875,
-0.052001953125,
0.083984375,
0.0771484375,
-0.0849609375,
0.0135498046875,
0.0810546875,
-0.04052734375,
0.109375,
-0.0625,
0.01300048828125,
-0.04... | 18,426 | 18426 | |
The DFT as Convolution or Filtering
In this section a method quite different from the index mapping or polynomial evaluation is developed. Rather than dealing with the DFT directly, it is converted into a cyclic convolution which must
then be carried out by some efficient means. Those means will be covered later, but h... | 4 | [
-0.1044921875,
0.043212890625,
0.005401611328125,
0.0311279296875,
0.052001953125,
-0.037841796875,
0.0654296875,
0.004913330078125,
0.044677734375,
-0.08349609375,
-0.023681640625,
0.019775390625,
0.02783203125,
0.028076171875,
-0.064453125,
-0.031982421875,
-0.12353515625,
0.0349... | 18,427 | 18427 | |
Physics Forums - View Single Post - Sequences and closed sets.
Hi Frederik!
Every closed set of a topological space is closed under limits of sequences! It's the converse that's not true. That is: there are sets which are not closed but which are still closed under limits of
sequences.
For example, take the cocounta... | 4 | [
-0.0400390625,
-0.11865234375,
-0.03369140625,
0.045654296875,
-0.032958984375,
0.0947265625,
-0.04833984375,
0.007171630859375,
0.08935546875,
-0.0322265625,
0.015380859375,
0.044921875,
-0.052001953125,
-0.03955078125,
0.0050048828125,
-0.0272216796875,
0.0106201171875,
-0.079589... | 18,428 | 18428 | |
Physics Forums - View Single Post - Interpreting the probability distribution of the potential step
Identity
I'm not sure if you understood what I meant, sorry
The general solution is of the form:
[tex]\psi(x) = \begin{cases} Ae^{ik_1x}+A\frac{k_1-k_2}{k_1+k_2}e^{-ik_1x} \ \ \ \ \ \ x < 0\\\\ A\frac{2k_1}{k_1+k_2... | 4 | [
-0.099609375,
0.0361328125,
0.05908203125,
-0.034423828125,
-0.0194091796875,
0.000934600830078125,
0.018798828125,
-0.0003719329833984375,
0.06787109375,
0.00732421875,
0.12255859375,
-0.0771484375,
0.0238037109375,
-0.0810546875,
0.00213623046875,
0.000858306884765625,
-0.013732910... | 18,429 | 18429 | |
Line integrals - ds, (dx, dy, dz)
August 3rd 2005, 05:05 AM
Cold
Line integrals - ds, (dx, dy, dz)
Am I right in thinking that line integrals of the form int_c f(x,y)dx arise by approximating the arc length delta s by the line segment delta x so that as delta x tends to 0 delta s / delta x =
1?
I can un... | 4 | [
-0.08251953125,
-0.038330078125,
0.042236328125,
-0.018310546875,
0.00701904296875,
-0.0177001953125,
-0.0185546875,
0.083984375,
-0.06494140625,
-0.005706787109375,
-0.052001953125,
0.054931640625,
-0.0084228515625,
0.038818359375,
0.015869140625,
-0.0517578125,
-0.0145263671875,
... | 18,430 | 18430 | |
Haskell for counting votes!
There's apparently an important election going on in the States. There are also a few interesting articles, for example in the french maths magazine Tangente (no up to date online edition that I
could find unfortunately) and in the
New Scientist
, on how the way you tally votes affect the ... | 5 | [
-0.0296630859375,
-0.0693359375,
0.03857421875,
0.0174560546875,
-0.07373046875,
0.10400390625,
0.0216064453125,
0.0289306640625,
-0.01318359375,
0.032470703125,
-0.07275390625,
-0.03759765625,
0.12060546875,
-0.0419921875,
-0.06298828125,
0.02490234375,
0.00110626220703125,
-0.013... | 18,431 | 18431 | |
Brevet US5146413 - Method for the determinate evaluation of a chemistry analyzer's combined diluting and analyzing systems
FIELD OF THE INVENTION
This process relates to chemistry analyzers and diluting systems and specifically to the accuracy and precision of each system.
DISCUSSION OF PRIOR ART
The determination o... | 4 | [
-0.030517578125,
0.0172119140625,
0.00014972686767578125,
-0.09228515625,
-0.01519775390625,
-0.06982421875,
-0.05029296875,
0.1865234375,
0.0191650390625,
-0.042724609375,
-0.033447265625,
-0.05517578125,
-0.0035400390625,
0.003814697265625,
-0.1484375,
-0.08203125,
-0.0119018554687... | 18,432 | 18432 | |
Related Rates [Balloon]
March 16th 2009, 06:29 PM #1
Junior Member
Joined
Sep 2007
Posts
60
Related Rates [Balloon]
The radius of a speherical balloon is decreasing at a rate of 3.5 cm/s. At what rate is the surface area of the balloon decreasing when the radius is 14cm?
dr/dt = -3.5 cm/s
da/dt... | 4 | [
0.021240234375,
0.0419921875,
-0.0042724609375,
0.018310546875,
0.00927734375,
-0.047119140625,
-0.034423828125,
0.09375,
-0.017333984375,
-0.0419921875,
0.0233154296875,
-0.033447265625,
0.000827789306640625,
0.126953125,
-0.01336669921875,
0.01123046875,
0.00885009765625,
-0.0356... | 18,433 | 18433 | |
Patent US5574638 - Method of optimal scaling of variables in a multivariable predictive controller utilizing range control
Publication number US5574638 A
Publication type Grant
Application number US 08/415,882
Publication date Nov 12, 1996
Filing date Apr 3, 1995
Priority date Apr 3, 1995
Fee status ... | 4 | [
-0.0712890625,
-0.0234375,
-0.1357421875,
-0.00677490234375,
0.0196533203125,
0.0673828125,
-0.021728515625,
0.1201171875,
-0.03662109375,
0.10205078125,
0.045166015625,
0.09375,
0.052978515625,
-0.03125,
-0.0849609375,
0.06640625,
0.0172119140625,
0.030517578125,
-0.09033203125,... | 18,434 | 18434 | |
Cardinal Splines (Interpolation, part IV)
In the last installment of this series, we left off Hermite splines asking how we should choose the derivatives at end points so that patches line up nicely, in a visually (or any other
context-specific criterion) pleasing way.
Cardinal splines solve part of this problem quit... | 4 | [
-0.0947265625,
-0.0654296875,
0.03515625,
-0.0303955078125,
-0.04931640625,
0.03564453125,
0.0206298828125,
-0.025634765625,
0.0218505859375,
0.0033721923828125,
0.051513671875,
0.0184326171875,
-0.0400390625,
-0.0654296875,
-0.0390625,
0.04150390625,
-0.11767578125,
-0.00952148437... | 18,435 | 18435 | |
Express y-Coordinate of Point...
Date: 8/9/96 at 9:54:31
From: Anonymous
Subject: Express y-Coordinate of Point...
P and Q are the points of intersection of the line y/2+x/3 = 1 with
the x- and y- axes respectively. The gradient of QR is 1/2 and R is
the point whose x-coordinate is 2t, where t is positive. Express t... | 4 | [
-0.03515625,
0.08642578125,
-0.01312255859375,
-0.0286865234375,
0.00726318359375,
0.06884765625,
0.037109375,
0.07421875,
0.044677734375,
-0.002471923828125,
0.0233154296875,
-0.0166015625,
-0.0047607421875,
0.1240234375,
0.0556640625,
0.01361083984375,
-0.103515625,
-0.0400390625... | 18,436 | 18436 | |
Optimization Problem
November 30th 2008, 06:03 PM #1
Junior Member
Joined
Sep 2007
Posts
56
Optimization Problem
Hi this is the problem i'm having trouble with.
Find two numbers whose difference is 100 and whose product is minimum.
I don't even know where to start on this one. Thanks guys.
O... | 4 | [
-0.013671875,
0.1123046875,
-0.0022735595703125,
-0.09326171875,
-0.059326171875,
-0.027099609375,
0.0576171875,
0.10107421875,
-0.11669921875,
0.07275390625,
-0.0028839111328125,
-0.05126953125,
0.12109375,
0.0712890625,
-0.004547119140625,
0.08642578125,
-0.0166015625,
0.00958251... | 18,437 | 18437 | |
Irregular case of induced EMF
What machinery or explanation acounts for the creation of an induced EMF in this case ? (there is no induced current in this case, of course).
There will be current in the wire irrespective of whether the circuit is closed or not.
Maxwell's equations are not necessary to explain Faraday'... | 4 | [
-0.04296875,
0.020263671875,
0.0233154296875,
0.03662109375,
0.150390625,
-0.0177001953125,
0.0147705078125,
-0.0126953125,
0.055419921875,
0.02978515625,
0.05029296875,
0.025390625,
0.07421875,
-0.00058746337890625,
-0.033935546875,
0.0126953125,
-0.01116943359375,
-0.019409179687... | 18,438 | 18438 | |
AP Calculus-Optimization
December 2nd 2007, 07:18 PM #1
Newbie
Joined
Dec 2007
Posts
9
AP Calculus-Optimization
Hey I need to get these as fast as possible:
1. A rectangle has its base on the x-axis and its upper two vertices on the parabola y=12-x^2. What is the largest area the rectangle can have,... | 4 | [
0.039794921875,
0.060546875,
-0.0208740234375,
-0.11474609375,
-0.0296630859375,
-0.0181884765625,
-0.037109375,
0.076171875,
-0.057861328125,
0.028564453125,
-0.024169921875,
0.07421875,
0.006591796875,
0.080078125,
-0.0283203125,
0.046142578125,
0.072265625,
0.0181884765625,
-0... | 18,439 | 18439 | |
-Attractor of Nonautonomous Three-Component Reversible Gray-Scott System on Unbounded Domains
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 719063, 13 pages
http://dx.doi.org/10.1155/2013/719063
Research Article
Pullback -Attractor of Nonautonomous Three-Component Reversible Gray-Scott System on Unboun... | 4 | [
-0.1123046875,
-0.05908203125,
0.010009765625,
0.0032196044921875,
0.0380859375,
0.02392578125,
-0.030029296875,
-0.0556640625,
0.041748046875,
0.048828125,
0.033935546875,
-0.042724609375,
0.0189208984375,
-0.02587890625,
0.04541015625,
0.027587890625,
-0.0223388671875,
-0.0488281... | 18,440 | 18440 | |
There are 25 necklaces such that the first necklace contains
Author Message
TAGS:
There are 25 necklaces such that the first necklace contains [#permalink] 07 Nov 2009, 09:37
... | 5 | [
0.042724609375,
0.035888671875,
0.0272216796875,
0.003570556640625,
-0.053466796875,
-0.005340576171875,
0.056884765625,
-0.0186767578125,
0.045654296875,
0.00726318359375,
0.04296875,
0.01397705078125,
0.138671875,
-0.042724609375,
-0.05859375,
0.08837890625,
0.01043701171875,
0.0... | 18,441 | 18441 | |
Quantum mechanics in multiple dimensions
aaaa202
In which of the separated equation does E go?
You can do it either way. It doesn't make any difference in the final result. Using your 2-dimensional box example start with:
$$-\frac{\hbar^2}{2m} \frac{1}{X} \frac{\partial^2 X}{\partial x^2}
-\frac{\hbar^2}{2m} \fra... | 4 | [
0.032958984375,
0.040283203125,
0.0927734375,
0.007110595703125,
-0.0301513671875,
0.047119140625,
-0.057861328125,
-0.053955078125,
-0.0189208984375,
-0.0263671875,
0.10205078125,
-0.07080078125,
-0.040283203125,
-0.03955078125,
0.0634765625,
0.04052734375,
-0.05126953125,
-0.0478... | 18,442 | 18442 | |
Proving (-infinity, 0) is open
September 29th 2013, 03:09 PM #1
Junior Member
Joined
Jul 2011
Posts
34
Proving (-infinity, 0) is open
Hi, I've done most of the proof(I think), but I'm lost anyone willing to finish it off for me? I've spent a while on it and i'm stuck.
Let x be an element of (-infini... | 4 | [
-0.017578125,
0.060791015625,
-0.06640625,
0.01373291015625,
0.045654296875,
0.01361083984375,
0.039306640625,
0.0223388671875,
-0.04345703125,
0.007080078125,
-0.039306640625,
-0.011474609375,
0.031494140625,
0.050048828125,
0.09765625,
-0.001983642578125,
0.072265625,
-0.11132812... | 18,443 | 18443 | |
New Analyses of Duopoly Game with Output Lower Limiters
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 406743, 10 pages
http://dx.doi.org/10.1155/2013/406743
Research Article
New Analyses of Duopoly Game with Output Lower Limiters
^1School of Management Science and Engineering, Nanjing University, Nanj... | 5 | [
-0.030029296875,
0.0152587890625,
-0.039306640625,
-0.02490234375,
-0.005889892578125,
-0.01806640625,
-0.04150390625,
0.031005859375,
0.033447265625,
0.05908203125,
-0.006805419921875,
0.0022125244140625,
0.091796875,
0.0025482177734375,
0.060302734375,
0.0169677734375,
0.0390625,
... | 18,444 | 18444 | |
Conditional Distribution of arrival times
December 10th 2011, 08:22 AM #1
Newbie
Joined
Sep 2011
Posts
14
Conditional Distribution of arrival times
Just got my final back, and this was the only problem I couldn't figure out. Could someone show me how to do this? Thanks!
A Poisson process N(t) has ra... | 4 | [
-0.0162353515625,
-0.032958984375,
0.064453125,
-0.039794921875,
0.020751953125,
-0.059326171875,
-0.0101318359375,
0.012939453125,
0.06689453125,
-0.016845703125,
0.03857421875,
0.0111083984375,
0.02880859375,
-0.03759765625,
0.036376953125,
-0.068359375,
0.061279296875,
-0.112792... | 18,445 | 18445 | |
How to solve second-order matrix diffrential equation?
A system of differential equations, of any order, can always be reduced to a (larger) system of first order differential equations.
Here, let Y= X^.. Then X^..= Y^. so your equation becomes Y^.+ AY+ BX= 0. That, together with X^.= Y gives two first order matrix equ... | 4 | [
-0.087890625,
-0.0291748046875,
-0.0390625,
0.0225830078125,
-0.054443359375,
0.041015625,
-0.033935546875,
-0.09814453125,
-0.0096435546875,
0.041748046875,
0.09033203125,
0.04443359375,
-0.00885009765625,
0.022705078125,
0.019287109375,
0.1455078125,
-0.0830078125,
0.024047851562... | 18,446 | 18446 | |
Patent US20050099907 - Training method for recording medium reproduction equalizer and recording medium reproduction apparatus
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to a method of training a recording medium reproduction equalizer and to a recording medium reproduction ap... | 4 | [
-0.099609375,
0.031005859375,
-0.080078125,
-0.06591796875,
-0.0400390625,
-0.00113677978515625,
0.0191650390625,
0.0263671875,
-0.07568359375,
-0.01055908203125,
-0.0181884765625,
0.041259765625,
0.04541015625,
-0.058837890625,
-0.087890625,
-0.07080078125,
-0.03173828125,
0.07861... | 18,447 | 18447 | |
Help please?
how would you do this.... Find the largest area of a rectangle inside a circle with a radius of 4.
It should be a square. :) Draw the figure on paper, as I cannot show it here. Let x = width of the rectangle And y = the length Draw any diagonal. This diagonal is a diameter of the circle so it is
2r long. ... | 5 | [
0.1103515625,
0.017578125,
-0.05126953125,
-0.0341796875,
-0.0263671875,
-0.08447265625,
-0.02978515625,
0.115234375,
-0.007232666015625,
-0.056396484375,
-0.0113525390625,
0.06298828125,
0.01611328125,
0.08984375,
0.033203125,
0.056640625,
0.031982421875,
0.04443359375,
-0.06933... | 18,448 | 18448 | |
Logarithm question
May 7th 2011, 02:11 AM #1
Member
Joined
Apr 2010
Posts
93
Logarithm question
If the sum is 2^x = 8, how do I work out x?
When I use my calculator, I press 'log', then 2 and then in brackets (8), so it looks like this "log2(8)". Why do I get the answer of 2.4082399.....
There ... | 4 | [
0.0194091796875,
-0.001129150390625,
0.05322265625,
0.07373046875,
0.039794921875,
-0.099609375,
0.04248046875,
0.0859375,
0.04736328125,
0.0634765625,
-0.032958984375,
-0.09619140625,
0.00408935546875,
-0.00665283203125,
0.0281982421875,
0.07666015625,
-0.1220703125,
0.037109375,
... | 18,449 | 18449 | |
Divisible by 9
Using mathematical induction, prove $10^n + 3\cdot4^{n+2} + 5$ is div. by $9$$\forall \ \mathbb{Z} \ \ n \geq 1$
okie dokie, let's see where we get with this. i suppose you know the method of induction, so i won't explain it. let's just jump in Let $P(n)$: " $9|(10^n + 3 \cdot 4^{n + 2} + 5)$ for all $n... | 5 | [
-0.07568359375,
0.0478515625,
0.0361328125,
0.015380859375,
0.125,
0.0203857421875,
0.0693359375,
0.04638671875,
-0.028076171875,
0.03466796875,
-0.029052734375,
0.00604248046875,
0.06201171875,
0.048095703125,
-0.044677734375,
-0.0751953125,
-0.0247802734375,
0.03271484375,
-0.0... | 18,450 | 18450 | |
applied mathematics
April 20th 2009, 10:34 AM #1
Newbie
Joined
Apr 2009
Posts
2
applied mathematics
find the equation of Line L in standard form L is parallel to Y=1/3X. Both lines are diagonal to each other. The other points are (2,5)
Hi grettadoty,
Find the equation of line L in standard form... | 4 | [
-0.0751953125,
-0.0205078125,
0.000560760498046875,
-0.059814453125,
-0.0146484375,
0.054443359375,
-0.026611328125,
0.03857421875,
0.01446533203125,
-0.0203857421875,
0.07861328125,
-0.049560546875,
0.056640625,
-0.045654296875,
0.04541015625,
0.07177734375,
-0.1298828125,
-0.0275... | 18,451 | 18451 | |
Stabilization of Neutral Systems with Saturating Actuators
Journal of Control Science and Engineering
Volume 2012 (2012), Article ID 823290, 8 pages
http://dx.doi.org/10.1155/2012/823290
Research Article
Stabilization of Neutral Systems with Saturating Actuators
^1Department of Mathematic and Informatics, Faculty Mu... | 5 | [
-0.06787109375,
0.0247802734375,
-0.09423828125,
0.055419921875,
-0.017333984375,
0.0135498046875,
0.0184326171875,
0.06494140625,
-0.02490234375,
0.07666015625,
0.0257568359375,
0.08251953125,
0.0277099609375,
-0.08544921875,
-0.058349609375,
0.09423828125,
0.004547119140625,
0.02... | 18,452 | 18452 | |
solution in the interval [0,360] cos2theta=square root (3)/2
$\displaystyle \cos 2\theta =\frac{\sqrt{3}}{2}$ Make $\displaystyle 2\theta =x$ therefore $\displaystyle \cos x =\frac{\sqrt{3}}{2}$ Using the 30-60-90 special triangle $\displaystyle x =\frac{\pi}
{6}\implies 2\theta = \frac{\pi}{6} \implies \theta = \frac{... | 4 | [
-0.0216064453125,
-0.016845703125,
-0.103515625,
-0.0242919921875,
-0.087890625,
-0.01007080078125,
-0.052490234375,
0.0751953125,
0.06103515625,
0.0240478515625,
0.033935546875,
-0.08056640625,
0.048583984375,
0.015869140625,
0.1279296875,
-0.0181884765625,
0.004730224609375,
-0.0... | 18,453 | 18453 | |
What are the simplest way to show that AB and BA have the same characteristic polyno?
If A is invertible, than it is evident that AB and BA are similar matrices, therefore they have the same characteristic polynomial. Otherwise, we notice that the equation in lambda, det(A-lambda I)=0
has finitely many solutions. We ca... | 5 | [
-0.045654296875,
-0.008056640625,
-0.005157470703125,
0.0037689208984375,
-0.07666015625,
0.04150390625,
0.10400390625,
-0.1298828125,
-0.0184326171875,
-0.052490234375,
0.08056640625,
0.01025390625,
0.042724609375,
0.010498046875,
0.0125732421875,
0.05224609375,
-0.0220947265625,
... | 18,454 | 18454 | |
Introductory Statistical Mechanics - counting number of microstates
1. The problem statement, all variables and given/known data
Consider a system composed of 2 harmonic oscillators with frequencies w and 2w respectively (w = omega). The total energy of the system is U=q * h_bar * w, where q is a positive negative int... | 4 | [
-0.0223388671875,
0.013916015625,
0.046875,
0.03125,
-0.04248046875,
0.04541015625,
0.06494140625,
0.049072265625,
0.055908203125,
-0.0086669921875,
0.01019287109375,
-0.09619140625,
0.08544921875,
-0.033447265625,
0.0223388671875,
0.034912109375,
-0.0576171875,
-0.04248046875,
-... | 18,455 | 18455 | |
More graphed triangles..
July 20th 2006, 03:15 PM #1
Newbie
Joined
Jul 2006
Posts
17
More graphed triangles..
Summer school can really be a drag, ya know?
So..
"ABC's vertices A(-1, 1), B(5,1), and C(2,4)
Determine the perimeter of ABC. Express your answer as an exact value in simplest for... | 4 | [
-0.0076904296875,
0.046875,
-0.0091552734375,
-0.04541015625,
-0.006683349609375,
-0.00726318359375,
-0.0185546875,
0.047119140625,
0.045654296875,
0.0230712890625,
0.034423828125,
-0.0830078125,
-0.001983642578125,
0.115234375,
0.05322265625,
0.0654296875,
-0.0057373046875,
-0.058... | 18,456 | 18456 | |
Math Help
April 20th 2008, 05:25 PM #1
Newbie
Joined
Apr 2008
Posts
12
sine help
Hello all... just took a test in my pre calc class and got it back with a few wrong. We can correct them and then retake the test but im having trouble with corrections.
These are the ones that im having trouble with:
... | 4 | [
-0.048095703125,
-0.01336669921875,
0.0576171875,
0.0194091796875,
-0.040283203125,
0.004608154296875,
-0.036865234375,
0.004364013671875,
0.033203125,
-0.00616455078125,
0.091796875,
-0.0458984375,
-0.00885009765625,
0.0162353515625,
0.04296875,
-0.0125732421875,
-0.015869140625,
... | 18,457 | 18457 | |
Showing a subset does not form a subgroup (explaination wanted)
October 10th 2009, 08:57 AM
elninio
Showing a subset does not form a subgroup (explaination wanted)
If not sure how to show that a subset does not form a subgroup. Here is the example:
Let $G=GL_2(<b>R</b>)$. Show that the subset S of G defined... | 4 | [
-0.083984375,
-0.0220947265625,
0.00634765625,
0.0087890625,
0.0311279296875,
-0.0517578125,
-0.021240234375,
-0.1005859375,
0.02734375,
-0.0712890625,
0.01556396484375,
-0.042724609375,
0.068359375,
-0.0966796875,
0.050048828125,
0.031982421875,
0.0439453125,
-0.033935546875,
-0... | 18,458 | 18458 | |
Mathematical Induction
October 26th 2008, 12:23 PM #1
Member
Joined
Apr 2008
Posts
107
Mathematical Induction
Theres a quiz tomorrow and i have never felt soo lost.. please explain well every step.. thank you so much
Show that the following statemnet is true for all natural numbers n.
1 + 3 + 5... | 4 | [
-0.08447265625,
0.053466796875,
0.1494140625,
0.09716796875,
0.01055908203125,
0.045654296875,
0.0517578125,
0.01336669921875,
0.00830078125,
-0.007354736328125,
-0.0537109375,
-0.01171875,
0.051513671875,
0.0213623046875,
-0.1533203125,
-0.0101318359375,
0.01397705078125,
0.013977... | 18,459 | 18459 | |
Strong Unique Continuation for Solutions of a
International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 108671, 16 pages
http://dx.doi.org/10.1155/2012/108671
Research Article
Strong Unique Continuation for Solutions of a -Laplacian Problem
Mathematics Department, Universidad Au... | 5 | [
-0.1328125,
0.0264892578125,
0.0810546875,
0.0024566650390625,
0.07666015625,
0.0186767578125,
-0.004241943359375,
-0.00738525390625,
0.058349609375,
-0.08984375,
0.047119140625,
0.060791015625,
-0.041748046875,
-0.0244140625,
0.00762939453125,
0.044921875,
-0.0225830078125,
-0.075... | 18,460 | 18460 | |
eigenvalues
June 11th 2009, 03:56 AM #1
Junior Member
Joined
Apr 2009
Posts
58
eigenvalues
Can someone please help me find the eigenvalues because i keep getting the wrong values..
The matrix is:
$<br /> \left[\begin{array}{rrr}-4&0&3\\1&1&-1\\-6&0&5\end{array}\right]<br />$
but then I kee... | 5 | [
-0.034912109375,
-0.0673828125,
-0.04296875,
-0.0810546875,
-0.01141357421875,
-0.015869140625,
-0.04736328125,
-0.04296875,
0.0028076171875,
-0.0322265625,
0.076171875,
-0.06640625,
-0.018798828125,
-0.01116943359375,
-0.0576171875,
0.042724609375,
0.01007080078125,
-0.095703125,
... | 18,461 | 18461 | |
Quick question regarding speed & constant acceleration
Ok so for this type of problem you have to use your kinematic equations. We are given a distance between two points, the time it takes for the antelope to cover that distance, and the speed when it
passes the second point. So we need to use an equation that contai... | 4 | [
-0.006866455078125,
0.08056640625,
0.03857421875,
-0.06689453125,
0.01904296875,
0.037353515625,
0.00799560546875,
0.05908203125,
-0.0654296875,
0.039794921875,
0.0986328125,
-0.07470703125,
-0.0198974609375,
0.020751953125,
-0.039794921875,
0.053955078125,
0.0022430419921875,
0.02... | 18,462 | 18462 | |
solving ODE with integration factors
January 14th 2009, 03:06 PM #1
Newbie
Joined
Jan 2009
Posts
18
solving ODE with integration factors
I once again have a disagreement with my textbook
If anyone can find a mistake I would be grateful.
edit: I just realized I probably need to have the integrati... | 5 | [
-0.01361083984375,
-0.0478515625,
0.0057373046875,
-0.01080322265625,
0.01904296875,
0.001617431640625,
-0.04931640625,
-0.024658203125,
0.004425048828125,
0.08935546875,
0.0908203125,
-0.06689453125,
0.0262451171875,
-0.046630859375,
-0.0015869140625,
0.0201416015625,
-0.01892089843... | 18,463 | 18463 | |
Inscribed Quadrilateral
October 17th 2011, 02:40 AM #1
Newbie
Joined
Oct 2011
Posts
7
Inscribed Quadrilateral
If there are four different circles that are tangent both to the edges of an inscribed quadrilateral and to the circle around that inscribed quadrilateral, how should the inscribed quadrilateral
... | 5 | [
0.03515625,
0.0311279296875,
0.00531005859375,
-0.045654296875,
-0.045654296875,
0.03076171875,
0.0299072265625,
0.029296875,
0.056884765625,
-0.00836181640625,
-0.021728515625,
-0.00982666015625,
0.0155029296875,
0.08056640625,
0.0220947265625,
-0.00128936767578125,
0.04931640625,
... | 18,464 | 18464 | |
creating a matrix
October 29th 2009, 08:49 PM #1
Member
Joined
Sep 2009
Posts
104
creating a matrix
Hi I need to know how to create a matrix $[T]_{B}$
where $V=P_{2}(\mathbb{R})$ is the vectorspace and
T(f(x))=f(0) +f(1)(x+x^2)
B={1,x,x^2}, the standard basis.
There is a standard techniq... | 4 | [
-0.00506591796875,
0.037353515625,
-0.054443359375,
0.01446533203125,
0.023681640625,
0.029296875,
0.05126953125,
-0.029296875,
-0.03173828125,
-0.00872802734375,
0.01177978515625,
-0.0390625,
0.00089263916015625,
-0.0216064453125,
-0.07958984375,
0.00909423828125,
-0.06884765625,
... | 18,465 | 18465 | |
diagonal
November 23rd 2010, 12:39 AM
alexandrabel90
diagonal
i just started on diagonalizable matrix and i am trying to prove that f: 2x2 matrix--> 2x2 matric where f(A)= A + A^t. find a basis for the 2x2 matrix which consist of eigenvectors for f.
im wondering, the basis would be in the form of a 2x2 mat... | 5 | [
0.00555419921875,
0.01275634765625,
-0.052490234375,
0.00130462646484375,
0.0732421875,
0.024169921875,
-0.040771484375,
-0.025634765625,
-0.07080078125,
0.083984375,
0.04736328125,
-0.051513671875,
-0.0546875,
0.00616455078125,
-0.002685546875,
0.00347900390625,
-0.1328125,
0.0214... | 18,466 | 18466 | |
Patente US6912195 - Frequency-domain MIMO processing method and system
FIELD OF THE INVENTION
In general, the present invention relates to the field of multiple input-multiple output (“MIMO”) communication systems. More specifically, the present invention relates to increasing the link
capacity of broadband wireless s... | 4 | [
0.0283203125,
-0.0115966796875,
-0.0751953125,
-0.05517578125,
-0.052001953125,
-0.0106201171875,
-0.00823974609375,
0.0294189453125,
-0.0169677734375,
-0.005218505859375,
-0.050048828125,
0.15234375,
0.0693359375,
-0.040283203125,
-0.08056640625,
0.01318359375,
-0.0732421875,
-0.0... | 18,467 | 18467 | |
Help with variance
September 1st 2011, 01:02 AM #1
Newbie
Joined
Sep 2011
Posts
1
Help with variance
Hey guys, just asking two things here: a) can you please explain to me how to calculate the variance of certain things and b), can you put it into practice by answering the question below?
Thanks!
... | 5 | [
0.0703125,
0.037353515625,
0.0517578125,
-0.039306640625,
-0.10107421875,
0.061279296875,
0.0057373046875,
0.056396484375,
0.0031890869140625,
-0.0203857421875,
0.034423828125,
0.0203857421875,
0.02392578125,
-0.0233154296875,
0.03857421875,
0.0250244140625,
0.003662109375,
-0.0303... | 18,468 | 18468 | |
Approximate function using first and second derivative?
September 21st 2009, 10:54 PM #1
Junior Member
Joined
Sep 2007
Posts
30
Approximate function using first and second derivative?
I know how to approximate the value of a function by (a) plugging in values and (b) using a linear approximation, i.e. $f... | 4 | [
-0.053955078125,
0.0093994140625,
0.039306640625,
-0.0208740234375,
-0.018310546875,
-0.02978515625,
-0.0294189453125,
-0.013671875,
-0.028564453125,
0.1259765625,
0.08154296875,
0.01513671875,
0.05615234375,
-0.006683349609375,
0.037109375,
0.0233154296875,
-0.023193359375,
0.0708... | 18,469 | 18469 | |
Polynomials and inverses
March 22nd 2010, 03:44 AM #1
Junior Member
Joined
Jan 2010
Posts
60
Polynomials and inverses
If $h(x)=x^3 +2x+1$ has an inverse $h^{-1}$ on $\mathbb{R}$ , how would you find the value of $(h^{-1})')(y)$ at the points corresponding to $x=0,1,-1$ ?
By a well-known theorem,... | 5 | [
-0.07861328125,
0.0400390625,
0.048095703125,
0.052734375,
0.046875,
-0.0189208984375,
0.035888671875,
0.036865234375,
-0.0008697509765625,
-0.05810546875,
0.0869140625,
-0.06884765625,
0.05078125,
-0.02783203125,
-0.111328125,
0.004180908203125,
-0.060791015625,
-0.035888671875,
... | 18,470 | 18470 | |
Math Help
January 20th 2008, 11:09 AM #1
Newbie
Joined
Jan 2008
Posts
3
Omega
Suppose we have the following 3 functions
f(n), g(n), h(n)
such that f(n) = Omega(g(n)) and g(n) = Omega(h(n)). Must it be the case that f(n) = Omega(h(n))? Explain why or give a counterexample.
My attempt:
f... | 4 | [
-0.03759765625,
0.01275634765625,
-0.0062255859375,
-0.0279541015625,
-0.031494140625,
0.056640625,
-0.00909423828125,
-0.024658203125,
0.029052734375,
-0.0654296875,
-0.0031280517578125,
-0.038330078125,
-0.0078125,
-0.0052490234375,
0.051025390625,
0.0283203125,
-0.08203125,
0.05... | 18,471 | 18471 | |
Exponential decay
January 28th 2010, 08:58 AM #1
Newbie
Joined
Jan 2010
Posts
1
The decay of a radioactive substance is governed by the relation
N = Pe^(-kt)
where P is the amount at time t=0
N is the amount at time t
k is the decay constant
For a certain substance 14% has decayed i... | 4 | [
-0.0135498046875,
0.06396484375,
0.0830078125,
0.0198974609375,
-0.0022430419921875,
-0.0966796875,
-0.00909423828125,
0.130859375,
0.05322265625,
0.052978515625,
0.060791015625,
-0.0380859375,
-0.0277099609375,
0.0322265625,
0.00958251953125,
-0.021240234375,
-0.08056640625,
-0.07... | 18,472 | 18472 | |
Evaluation of Surfactant Drag Reduction Effect in a District Heating System
Advances in Mechanical Engineering
Volume 2011 (2011), Article ID 947179, 7 pages
http://dx.doi.org/10.1155/2011/947179
Research Article
Evaluation of Surfactant Drag Reduction Effect in a District Heating System
^1State Key laboratory of Mu... | 4 | [
-0.018798828125,
0.060302734375,
0.1025390625,
0.0030517578125,
0.00103759765625,
-0.049560546875,
-0.08154296875,
-0.01904296875,
-0.03173828125,
0.004302978515625,
-0.0283203125,
-0.052978515625,
0.0478515625,
0.054443359375,
-0.01287841796875,
-0.06298828125,
-0.031982421875,
0.... | 18,473 | 18473 | |
Integrate a fraction with x function on top and polynomial on bottom
October 21st 2013, 07:06 AM #1
Integrate a fraction with x function on top and polynomial on bottom
Full question:
Evaluate the following integral(s) (I'm posting the first one):
$\int \frac {x+2}{(x+1)(x-1)} dx$
I have no idea ho... | 5 | [
-0.0034332275390625,
-0.057861328125,
0.05078125,
-0.021240234375,
0.057861328125,
-0.044921875,
-0.0751953125,
0.008056640625,
-0.033447265625,
0.05078125,
-0.00384521484375,
-0.0194091796875,
0.046875,
0.03662109375,
-0.04296875,
0.031982421875,
0.035888671875,
-0.020751953125,
... | 18,474 | 18474 | |
Physics Forums - View Single Post - Value of a strange continued fraction
That hyperbolic-Bessel-function ratio was from
Continued Fraction -- from Wolfram MathWorld
One can use the
Fundamental recurrence formulas
(Wikipedia) for them.
For a continued fraction
x = b0 + a1 /(b1 + a2/(b2 + ...))
we set up A's and... | 4 | [
-0.09716796875,
-0.0169677734375,
-0.06298828125,
-0.02197265625,
-0.07568359375,
-0.01300048828125,
-0.04638671875,
-0.06787109375,
0.034423828125,
0.00628662109375,
0.0093994140625,
-0.018798828125,
-0.0166015625,
0.0186767578125,
-0.021240234375,
0.068359375,
-0.007354736328125,
... | 18,475 | 18475 | |
Economical motor sizing for peak loads
Edward Cowern
Baldor Electric
Fort Smith, Ark.
Edited by Miles Budimir
Many applications involving hydraulics and hydraulically-driven machines have load requirements that fluctuate greatly. In some cases, the peak loads last for relatively short periods during the
normal cycle ... | 5 | [
-0.01507568359375,
0.036376953125,
0.056640625,
0.050048828125,
-0.1103515625,
-0.024169921875,
-0.08837890625,
0.0859375,
-0.07763671875,
-0.0218505859375,
-0.111328125,
0.0791015625,
0.007476806640625,
-0.02099609375,
0.0264892578125,
0.061767578125,
-0.0033111572265625,
0.040283... | 18,476 | 18476 | |
Math Help
July 31st 2008, 10:45 AM #1
Newbie
Joined
May 2008
Posts
12
Fields
1) Find all
c ∈ Z3 such that Z3 [x] /(x3 + x2 + c)is a field.
2) Find the degree of and a basis for E = Q
(√2, √3 2, √4 2)
over Q.
1) Find all
c ∈ Z3 such that Z3 [x] /(x3 + x2 + c)is a field... | 5 | [
0.0069580078125,
0.0556640625,
-0.036865234375,
-0.003173828125,
0.037353515625,
-0.0027008056640625,
0.049560546875,
0.006195068359375,
-0.024658203125,
-0.08203125,
0.00946044921875,
-0.01361083984375,
-0.049560546875,
-0.0303955078125,
-0.04296875,
-0.0079345703125,
-0.05834960937... | 18,477 | 18477 | |
Combination Problems
October 15th 2007, 07:47 AM #1
Newbie
Joined
Oct 2007
Posts
2
Combination Problems
there are 12 resistors. 3 are defective. if you choose 4 what is the probability that you'll get:
no defective resistors
1 defective resistor
3 defective resistors
15 insurance polici... | 4 | [
0.049072265625,
0.08251953125,
0.051513671875,
-0.07958984375,
0.032470703125,
0.02587890625,
0.0264892578125,
0.0284423828125,
0.00762939453125,
0.0927734375,
0.0947265625,
-0.07470703125,
0.029296875,
0.0201416015625,
0.0250244140625,
0.0244140625,
-0.0791015625,
-0.04541015625,
... | 18,478 | 18478 | |
extraneous roots with logs?
December 14th 2009, 04:23 PM #1
Member
Joined
Sep 2009
Posts
162
extraneous roots with logs?
Hi, I have these four questions that I cannot seem to understand what they are asking me to solve. I do not know how to begin the question.
The questions are as followed:
3. ... | 4 | [
-0.020263671875,
0.046875,
0.01080322265625,
-0.031494140625,
0.06298828125,
-0.0439453125,
-0.011474609375,
0.005401611328125,
-0.020751953125,
0.0361328125,
0.07421875,
-0.0201416015625,
-0.0274658203125,
0.08203125,
0.0247802734375,
0.06494140625,
-0.0712890625,
-0.0191650390625... | 18,479 | 18479 | |
help with integrals?
December 31st 2006, 01:07 PM #5
December 31st 2006, 12:37 PM #4
Global Moderator
December 31st 2006, 12:34 PM #3
Global Moderator
December 31st 2006, 12:18 PM #2
Global Moderator
December 31st 2006, 10:43 AM #1
Newbie
The Last one.
$\int_0^3 x-[x]+1/3 dx$
If you think about it,... | 5 | [
-0.0576171875,
0.0137939453125,
0.01495361328125,
-0.0179443359375,
-0.035400390625,
-0.0537109375,
0.036865234375,
-0.00592041015625,
-0.0234375,
-0.04736328125,
-0.1083984375,
-0.042724609375,
0.00811767578125,
-0.000614166259765625,
-0.020263671875,
-0.05810546875,
0.02392578125,
... | 18,480 | 18480 | |
Math Help
February 12th 2010, 07:25 PM #1
Differentiate
Differentiate this function f(x)= (4x)/(sqrt2x).
I know I use the quotient rule to differentiate this, this is what I have done so far:
(2x)^1/2 (0) - (4) [1/2(2x)^-1/2] divided by (2x)
0 - 2(2x)^-1/2 divided by (2x)
-(2x)^-1/2 divided by... | 5 | [
0.053466796875,
-0.0654296875,
0.05908203125,
0.01904296875,
-0.0712890625,
-0.0546875,
-0.04150390625,
0.01318359375,
0.043701171875,
0.05908203125,
0.10009765625,
-0.06494140625,
0.00970458984375,
0.06982421875,
0.0084228515625,
0.0859375,
0.0166015625,
0.0133056640625,
-0.0834... | 18,481 | 18481 | |
Manual Lifting
Manual Lifting:
The NIOSH Work Practices Guide for Manual Lifting
Determining Acceptable Weights of Lift
Gary S. Nelson, Henry Wickes, and Jason T. English
Part 1
-- Effective from March 1981 to July 1994 --
In the past, efforts to control back injuries largely focused on the limited recommendations... | 4 | [
-0.11376953125,
0.033935546875,
0.014892578125,
-0.015869140625,
-0.07373046875,
-0.023193359375,
0.0245361328125,
0.06201171875,
-0.051025390625,
-0.0167236328125,
-0.000736236572265625,
0.1142578125,
0.0208740234375,
0.032470703125,
-0.05224609375,
-0.0166015625,
0.034423828125,
... | 18,482 | 18482 | |
Little - Math Genius
Answer
The area of the complete estate is exactly one hundred acres. To find this answer I use the following little formula,
__________________
\/4ab - (a + b + c)²;
_____________________
4
where a, b, c represent the three square areas, in any order.
The expression gives the area of the tri... | 4 | [
0.06396484375,
0.07421875,
0.03271484375,
-0.08837890625,
-0.03857421875,
-0.00177001953125,
-0.0284423828125,
0.01171875,
-0.0157470703125,
0.064453125,
-0.0015869140625,
-0.078125,
0.052490234375,
0.027587890625,
-0.01373291015625,
0.0458984375,
-0.052001953125,
0.00982666015625,... | 18,483 | 18483 | |
error factor of Taylor Series
April 11th 2008, 11:25 PM #1
error factor of Taylor Series
the function is:
$\int^{1}_{0} x cos(x^3) \ dx$ find the error to 3 decimal places.
so I expressed cos as a Taylor Series which gives me:
$\int^{1}_{0} x \sum^{\infty}_{n=0} -1^n \frac{x^{6n}}{(2n)!} \ dx$
... | 5 | [
-0.0272216796875,
-0.09326171875,
-0.046142578125,
0.0595703125,
0.04150390625,
-0.00726318359375,
-0.0294189453125,
0.03759765625,
-0.0107421875,
-0.040771484375,
0.047607421875,
-0.0264892578125,
-0.0167236328125,
-0.0703125,
-0.06103515625,
-0.06787109375,
-0.03759765625,
-0.015... | 18,484 | 18484 | |
Triple Integral - Volterra equation problem
December 8th 2010, 06:13 AM #1
Banned
Joined
Dec 2010
Posts
19
Triple Integral - Volterra equation problem
Here's the problem:
y'''(x) = f(x) subject to the conditions y(0)=y(1)=y(2)=0.
Perform three integrations to show that a solution may be writte... | 4 | [
-0.05078125,
-0.0478515625,
0.0439453125,
-0.078125,
0.0201416015625,
0.05419921875,
-0.0244140625,
-0.017333984375,
-0.032470703125,
0.045654296875,
0.012451171875,
-0.00341796875,
-0.02001953125,
0.0196533203125,
0.04150390625,
0.07666015625,
-0.02685546875,
-0.09716796875,
-0.... | 18,485 | 18485 | |
Proving Limits
July 27th 2011, 09:32 AM #1
Member
Joined
Jan 2011
Posts
110
Proving Limits
I need to prove the following statement
lim
x---> Infinity
3x^5-5logex/5e^x-2x^5
I have
logex/x^5 --> 0 as x---> Infinity
not sure about the other bit.
Also need to prove the follo... | 5 | [
-0.0223388671875,
-0.01708984375,
0.06201171875,
0.0203857421875,
0.07861328125,
-0.099609375,
-0.01434326171875,
-0.008056640625,
0.030517578125,
-0.0006103515625,
0.053955078125,
-0.04541015625,
0.0498046875,
0.04296875,
0.015869140625,
0.00665283203125,
0.031005859375,
-0.054931... | 18,486 | 18486 | |
Example
35.8 Examples
The multidimensional solvers are used in a similar way to the one-dimensional root finding algorithms. This first example demonstrates the hybrids scaled-hybrid algorithm, which does not require
derivatives. The program solves the Rosenbrock system of equations,
f_1 (x, y) = a (1 - x)
f_2 (x, y... | 5 | [
-0.08935546875,
-0.0537109375,
-0.083984375,
-0.0595703125,
-0.0283203125,
-0.06884765625,
-0.087890625,
0.09375,
-0.06689453125,
0.00119781494140625,
-0.0194091796875,
0.0267333984375,
0.00787353515625,
-0.033203125,
-0.042236328125,
0.043701171875,
-0.1611328125,
0.0181884765625,... | 18,487 | 18487 | |
transformation function of random variables
September 29th 2009, 06:14 AM
oscaralive
transformation function of random variables
If X and Y are exponentially distributed with the same parameter and they are also independent:
To compute the density function of :
Case 1) Z = X-Y with the constraint that ... | 4 | [
-0.07177734375,
0.002410888671875,
-0.028076171875,
-0.05029296875,
0.049560546875,
-0.06982421875,
0.050048828125,
-0.01025390625,
-0.0693359375,
-0.00439453125,
0.00897216796875,
0.0235595703125,
0.11083984375,
0.03955078125,
0.0419921875,
-0.032470703125,
-0.020263671875,
-0.104... | 18,488 | 18488 | |
how do i found the the height
June 25th 2012, 10:14 AM
waleedrabbani
how do i found the the height
The volume of a rectangular box is (x^3+6x^2+11x6). The
box is (x+3) cm long and (x+2) cm wide. How high is the box?
May I also add that this is in the long division section of the text book so i am assumi... | 4 | [
0.005401611328125,
0.09619140625,
-0.040771484375,
0.013671875,
-0.0024261474609375,
0.0244140625,
-0.0615234375,
0.0262451171875,
0.0010528564453125,
-0.023193359375,
-0.055908203125,
0.017333984375,
-0.0390625,
-0.038330078125,
-0.04541015625,
-0.06201171875,
-0.04833984375,
0.08... | 18,489 | 18489 | |
Exact differential
Yes.
z=xy-y+lnx+2 so
dz= (y+ 1/x)dx + (x-1)dy
And that is an "exact" differential precisely because it is the differential of z.
Now suppose you were given the differential form (y+ 1/x)dx+ (x- 1)dy without having been given z. How would you determine whether it was an exact differential?
If
[tex](... | 5 | [
-0.11376953125,
-0.043701171875,
0.07861328125,
-0.0086669921875,
0.0252685546875,
-0.04443359375,
-0.03466796875,
-0.04150390625,
-0.0625,
0.0174560546875,
0.01507568359375,
0.00250244140625,
0.00616455078125,
0.091796875,
0.029052734375,
-0.0595703125,
-0.0634765625,
0.048828125,... | 18,490 | 18490 | |
Linear Regression in Polar Space
Sci Advisor
P: 3,252
The way I look at it, you have a problem of "estimation", not a problem of predicting a dependent variable as a linear function of some independent variables.
If this is a common problem in experimental physics, the physicists may have a slick way to do it. I can... | 4 | [
-0.0439453125,
-0.0673828125,
-0.0001983642578125,
0.00982666015625,
0.0419921875,
-0.01116943359375,
0.023193359375,
0.0311279296875,
0.0205078125,
0.0152587890625,
-0.007293701171875,
0.00860595703125,
0.044921875,
0.08935546875,
-0.04052734375,
0.13671875,
-0.016845703125,
0.037... | 18,491 | 18491 | |
How to solve the following trig equation
December 15th 2012, 11:26 AM #1
Senior Member
Joined
Dec 2010
From
CPT
Posts
302
How to solve the following trig equation
r=a sin(x)
r=a cos(2x)
How would I solve the following equation I know cos(2x)=2cos^2-1,1-sin^2(x)
But I am not sure where ... | 4 | [
-0.05908203125,
-0.00946044921875,
0.005523681640625,
0.125,
-0.032470703125,
0.0888671875,
-0.0120849609375,
-0.004547119140625,
0.02294921875,
0.04736328125,
0.051025390625,
-0.0211181640625,
0.0498046875,
0.0341796875,
0.0218505859375,
-0.05712890625,
-0.02294921875,
0.027465820... | 18,492 | 18492 | |
Distribution of primes in smooth moduli
From Polymath1Wiki
(Difference between revisions)
Teorth Teorth
( (
Talk ... | 4 | [
-0.040771484375,
-0.049560546875,
0.0093994140625,
-0.00592041015625,
0.0017242431640625,
-0.10107421875,
0.07373046875,
0.0703125,
-0.050537109375,
-0.0023345947265625,
0.033447265625,
0.0150146484375,
0.0146484375,
-0.0908203125,
-0.01190185546875,
-0.064453125,
0.0174560546875,
... | 18,493 | 18493 | |
Patent US7627622 - System and method of curve fitting
The present application is a non-provisional U.S. patent application of provisional application Ser. No. 60/481,642, filed Nov. 14, 2003.
FIELD OF THE INVENTION
The field of the invention is data processing, and more particularly relates to fitting a curve to a pl... | 4 | [
-0.048583984375,
0.03173828125,
-0.050537109375,
-0.048583984375,
-0.09130859375,
-0.0654296875,
0.031982421875,
0.12060546875,
0.018798828125,
-0.015869140625,
0.0133056640625,
0.0274658203125,
0.0791015625,
-0.022216796875,
-0.0751953125,
0.0128173828125,
-0.10693359375,
-0.00177... | 18,494 | 18494 | |
Lipschitz continuity
December 14th 2011, 12:53 AM #1
Newbie
Joined
Feb 2011
Posts
7
[SOLVED] Lipschitz continuity
I want to find out if a function is lipschitz continuous.
Take for example the function $f(x) = \sqrt{|x|}$ on $(-1,1)$
I know it's not lipschitz continuous since the graph's slope go... | 5 | [
0.01324462890625,
-0.095703125,
-0.038818359375,
-0.059814453125,
-0.04296875,
0.01953125,
0.0277099609375,
0.0128173828125,
-0.0262451171875,
0.0576171875,
0.08349609375,
0.095703125,
0.10693359375,
0.019775390625,
0.021240234375,
0.00860595703125,
0.01129150390625,
-0.083984375,
... | 18,495 | 18495 | |
Sum of Probabilities of combinations
August 10th 2012, 11:30 PM
rikari
Sum of Probabilities of combinations
Hi,
I'm thinking if you can help me think of a better way to solve this.
Here's the situation
I have probabilities of the number of bags I can sell in a day
2 - 30 %
3 - 28%
4 - ... | 5 | [
0.02685546875,
0.00811767578125,
-0.03515625,
-0.0257568359375,
-0.059814453125,
-0.019775390625,
0.0634765625,
-0.021728515625,
-0.00384521484375,
-0.0390625,
0.0211181640625,
-0.0419921875,
0.006195068359375,
-0.024169921875,
0.05712890625,
0.0240478515625,
0.0228271484375,
0.037... | 18,496 | 18496 | |
Help with Matrix math!
madslynge has asked for the wisdom of the Perl Monks concerning the following question:
Hey i need some help with maximizing a matrix
max (x) x'Dx
st. x'x=1
D is a symmetrical (n x n)matrix and x is an unknown (n x 1) vector
... | 4 | [
-0.03662109375,
-0.041015625,
-0.043701171875,
-0.1416015625,
-0.04541015625,
-0.038818359375,
-0.0230712890625,
-0.0546875,
-0.0625,
0.02734375,
-0.0084228515625,
0.09765625,
0.034423828125,
0.00970458984375,
-0.06884765625,
0.103515625,
0.0001277923583984375,
0.07666015625,
-0.... | 18,497 | 18497 | |
Math Help
February 11th 2007, 06:19 PM #1
Junior Member
Joined
Jan 2007
Posts
40
Sequence
How would I do this problem?
Use the formula a[sub-1]+a[sub-1]r+a[sub-1]r[squared]+...+a[sub-1]r[n-1 power]=
a[sub-1]* 1-r[nth power]/1-r
for the nth partial sum of a geometric sequence to find the s... | 4 | [
-0.10205078125,
0.03466796875,
-0.0081787109375,
0.04931640625,
-0.05810546875,
-0.03759765625,
-0.043212890625,
0.006103515625,
0.01171875,
0.00787353515625,
-0.1572265625,
-0.07958984375,
0.03857421875,
0.0556640625,
-0.028076171875,
-0.00689697265625,
-0.041015625,
-0.0712890625... | 18,498 | 18498 | |
need description on how to do this
June 3rd 2010, 11:53 PM
mamann
need description on how to do this
Consider: y=sin(x+pi/9)
(a) the graph intersects the x-axis at point A. Find the x co-ordinate of A where 0 < x < pi
(b) Solve the equation sin(x+pi/9)=-1/2 for 0 < x < 2pi
the "<" are less than or... | 4 | [
-0.11669921875,
-0.00457763671875,
0.019287109375,
0.019775390625,
-0.0037841796875,
0.047119140625,
0.01068115234375,
0.06884765625,
0.03125,
-0.037109375,
0.08447265625,
-0.0281982421875,
0.02099609375,
0.022216796875,
0.00860595703125,
-0.0306396484375,
-0.01519775390625,
-0.089... | 18,499 | 18499 |