content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
2 Equations - Don't know where to start
December 14th 2008, 12:34 PM #1
Newbie
Joined
Dec 2008
Posts
1
2 Equations - Don't know where to start
Ok got 2 algbaric equations.
Can someone help me here..... really really confused where to start.
Here they are...
0.8v + 0.54y -1.6z > 0
where
... | 4 | [
-0.09326171875,
0.048583984375,
-0.009765625,
0.0269775390625,
0.00070953369140625,
0.043701171875,
-0.029296875,
-0.0225830078125,
-0.0380859375,
-0.000957489013671875,
-0.08642578125,
-0.009521484375,
0.041748046875,
0.041748046875,
0.004852294921875,
0.078125,
-0.046630859375,
-... | 34,700 | 34700 | |
Proof: rank(AB)+n >= rank(A)+rank(B)
$<br /> A\in R^{s\times n}~,~B\in R^{n\times s}<br />$ Proof: $<br /> rank(AB)+n \geqslant rank(A)+rank(B)$
this is a nice problem! i think by that $R$ you mean the field of real numbers $\mathbb{R}.$ well, you really don't need your ground field to be $\mathbb{R}.$ so i'll assume ... | 5 | [
0.00054168701171875,
-0.02197265625,
-0.051025390625,
-0.0615234375,
0.0120849609375,
0.06787109375,
0.01287841796875,
0.007080078125,
-0.0068359375,
-0.01708984375,
-0.07080078125,
0.0179443359375,
0.0439453125,
-0.06494140625,
0.0009307861328125,
0.0791015625,
0.0023193359375,
0.... | 34,701 | 34701 | |
Journal of the Brazilian Computer Society
Services on Demand
Article
Indicators
Related links
Share
Print version ISSN 0104-6500
J. Braz. Comp. Soc. vol.5 n.3 Campinas Feb. 1999
http://dx.doi.org/10.1590/S0104-65001999000100005
Simulation of controlled queuing systems and i... | 4 | [
-0.045166015625,
0.0299072265625,
-0.0023193359375,
0.0052490234375,
-0.08740234375,
-0.0634765625,
0.04150390625,
0.0186767578125,
0.0791015625,
0.0439453125,
-0.043212890625,
-0.0059814453125,
0.050048828125,
-0.037109375,
-0.006866455078125,
-0.0654296875,
0.056640625,
-0.115722... | 34,702 | 34702 | |
Edit distance
From HaskellWiki
The edit distance is the minimum number of (delete/insert/modify) operations required to edit one given string into another given string. The functions given on this page calculate the Levenshtein
distance of two strings.
The edit distance of two strings can be found using a dynamic pr... | 4 | [
-0.01080322265625,
0.030029296875,
-0.041748046875,
-0.038330078125,
-0.0634765625,
-0.013916015625,
-0.033203125,
0.0380859375,
-0.005279541015625,
0.0033721923828125,
0.04345703125,
0.0498046875,
0.061767578125,
-0.048583984375,
-0.0712890625,
0.0771484375,
0.004364013671875,
-0.... | 34,703 | 34703 | |
conservation of energy
October 28th 2008, 04:24 PM #1
Junior Member
Joined
Mar 2008
Posts
43
conservation of energy
an experimental rocket sled on a level , frictionless track has a mass of 1.4*10^4 Kg. It propels itself by expelling gases from its rocket engines at a rate of 10 Kg/s, at an exhaust speed... | 5 | [
-0.055908203125,
0.099609375,
0.0498046875,
0.01220703125,
0.0595703125,
0.09033203125,
0.03466796875,
0.049560546875,
0.01251220703125,
0.02978515625,
-0.0147705078125,
0.038330078125,
-0.01708984375,
0.0013885498046875,
-0.0213623046875,
0.05322265625,
0.03759765625,
0.0441894531... | 34,704 | 34704 | |
logarithms, confusing
Given that y = X^x , x>0, y>0, by taking logs, show that dy/dx = (X^x)(1+lnx)
$y = x^x$............. Calculate the logarithms of both sides: $\ln(y) = \ln(x^x) = x \cdot \ln(x)$............. Differentiate. Use the chainrule at the LHS and the product rule at the RHS: $\frac1y
\cdot \frac{dy}{dx} ... | 5 | [
0.04833984375,
-0.04150390625,
0.06005859375,
0.021484375,
0.015380859375,
-0.130859375,
0.08154296875,
-0.00482177734375,
-0.025390625,
0.04150390625,
0.006256103515625,
0.02392578125,
0.0478515625,
0.08154296875,
0.03662109375,
0.064453125,
-0.1572265625,
0.0279541015625,
-0.06... | 34,705 | 34705 | |
How many sides in this polygon?
January 16th 2010, 05:45 PM
Motherof8
How many sides in this polygon?
The problem states: Find the number of sides in a regular polygon if the measure of an interior angle exceeds 6 times the measure of an exterior angle by 12. I wrote this formula: 180 - x = 6x +
12. In the b... | 4 | [
0.0098876953125,
0.09130859375,
0.06201171875,
0.002349853515625,
-0.011474609375,
-0.019287109375,
0.039306640625,
0.053466796875,
-0.0162353515625,
0.01470947265625,
-0.01611328125,
-0.03759765625,
-0.00341796875,
-0.0299072265625,
0.0634765625,
-0.0576171875,
-0.033203125,
-0.07... | 34,706 | 34706 | |
Inequalities
in order for the fraction to be > 0, the sign of the numerator must agree with the denominator, that is, if the numerator is positive, the denominator is positive as well, and if the numerator is
negative, so is the denominator. assume without loss of generality that both are positive (that means a similar... | 4 | [
0.04443359375,
0.019287109375,
0.002899169921875,
-0.034423828125,
-0.052978515625,
-0.021728515625,
-0.095703125,
0.020263671875,
0.0286865234375,
-0.0279541015625,
0.00677490234375,
-0.00860595703125,
0.0849609375,
0.06787109375,
0.053466796875,
0.05615234375,
0.046875,
-0.077148... | 34,707 | 34707 | |
Celestial
Celestial mechanics
From Scholarpedia
Sylvio Ferraz-Mello (2009), Scholarpedia, 4(1):4416. doi:10.4249/scholarpedia.4416 revision #91107 [link to/cite this article]
Celestial Mechanics is the science devoted to the study of the motion of the celestial bodies on the basis of the laws of gravitation. It wa... | 4 | [
-0.044921875,
-0.005828857421875,
-0.004730224609375,
-0.01092529296875,
-0.041748046875,
-0.02734375,
-0.10498046875,
0.00762939453125,
0.08203125,
0.0625,
0.00732421875,
-0.00063323974609375,
-0.035400390625,
-0.04052734375,
-0.024169921875,
-0.03759765625,
-0.09716796875,
0.0351... | 34,708 | 34708 | |
3 Riemannian Geometry
Next: 4 Manifolds all of Up: Axiomatic and Coordinate Geometry Previous: 2 The axiomatic approach
3 Riemannian Geometry
Let us now consider a small region M of space on which it is possible to put coordinates, say (x[1], x[2], x[3]). Moreover, any other choice of coordinates, say (y[1], y[... | 4 | [
-0.050048828125,
-0.091796875,
-0.029296875,
-0.09912109375,
-0.0019378662109375,
0.0213623046875,
0.04736328125,
0.007110595703125,
0.04931640625,
-0.010986328125,
0.0703125,
0.024169921875,
-0.0390625,
-0.04931640625,
0.02880859375,
-0.0079345703125,
-0.064453125,
0.10400390625,
... | 34,709 | 34709 | |
"A ball is thrown up from the rooftop"
February 13th 2010, 07:25 PM #1
Super Member
Joined
Nov 2008
Posts
597
"A ball is thrown up from the rooftop"
"A ball is thrown up from the rooftop with an initial speed of
a) Assuming that neither has landed, where and when do they meet?
m from the rooftop... | 4 | [
0.051025390625,
0.048828125,
0.004608154296875,
-0.053466796875,
0.041015625,
0.029296875,
-0.019775390625,
0.039306640625,
0.0380859375,
0.07861328125,
0.0673828125,
-0.023681640625,
0.0255126953125,
-0.0390625,
0.0400390625,
0.010986328125,
0.051513671875,
-0.0208740234375,
-0.... | 34,710 | 34710 | |
Simple indices question..
March 18th 2009, 01:17 AM
struck
Simple indices question..
Solve the equation 4^2x x 8^(x-1) = 32
Usually I solve these using logs and antilogs but here the question specifies that I cannot use that way as it's too basic.
I get the answer, x = 8/7 using logs/antilogs but I am ... | 4 | [
0.06298828125,
-0.015625,
-0.00714111328125,
0.07470703125,
0.0087890625,
-0.08740234375,
0.0164794921875,
0.014892578125,
0.006805419921875,
0.04345703125,
0.03369140625,
-0.020751953125,
0.07177734375,
0.0703125,
-0.0177001953125,
0.10888671875,
-0.09765625,
0.007293701171875,
... | 34,711 | 34711 | |
help with defining a relation ~ on Z_p
October 16th 2012, 06:58 PM #1
Newbie
Joined
Sep 2012
From
MD
Posts
14
help with defining a relation ~ on Z_p
The question is as follows:
Define a relation ~ on Z[p] where p is an odd prime, as follows: [a][p] ~ [b][p] if 2^ia = b mod p for some i in N. sho... | 5 | [
-0.05419921875,
-0.021728515625,
0.033447265625,
0.019287109375,
0.00726318359375,
-0.042724609375,
0.10693359375,
0.054443359375,
-0.052978515625,
0.0052490234375,
-0.011962890625,
-0.0615234375,
0.07177734375,
0.042724609375,
0.068359375,
0.054931640625,
0.009521484375,
-0.038085... | 34,712 | 34712 | |
Infinite Polynomial Rings.
By Infinite Polynomial Rings, we mean polynomial rings in a countably infinite number of variables. The implementation consists of a wrapper around the current finite polynomial rings in Sage.
AUTHORS:
An Infinite Polynomial Ring has finitely many generators \(x_\ast, y_\ast,...\) and infi... | 5 | [
-0.0908203125,
0.01055908203125,
-0.09423828125,
0.0177001953125,
-0.04248046875,
-0.031982421875,
0.06591796875,
-0.0205078125,
0.046142578125,
-0.09521484375,
-0.01373291015625,
0.03173828125,
0.03271484375,
-0.0390625,
0.000728607177734375,
0.060302734375,
-0.09228515625,
-0.032... | 34,713 | 34713 | |
Diagonalizing Symmetric Bilinear Forms
April 8th 2009, 07:26 AM #1
Diagonalizing Symmetric Bilinear Forms
Find a 2x2 orthogonal matrix $P$ such that $P^{-1} S P$ is diagonal where
$S=\left(\begin{array}{cc}7&-6\\-6&-2\end{array}\right)$
So here's my working...
The eigenvalues of S are 10 and -5.
... | 5 | [
-0.03466796875,
-0.06201171875,
-0.00933837890625,
-0.06494140625,
-0.0125732421875,
0.00616455078125,
-0.047607421875,
0.046875,
-0.057861328125,
0.0074462890625,
0.05078125,
0.08349609375,
-0.06884765625,
0.03173828125,
-0.06591796875,
0.0322265625,
0.0081787109375,
-0.009765625,... | 34,714 | 34714 | |
modern alg
November 7th 2008, 08:58 AM #1
Junior Member
Joined
Sep 2008
Posts
47
modern alg
Let F be a field and let e(x), g(x), h(x), and f(x) be polynomials in F[x] with h(x) of positive degree. Prove that if e(x) = gcd(g(x),h(x)) and e(x) divides f(x), then there is a polynomial j(x)
in F[x] such ... | 4 | [
-0.07080078125,
0.072265625,
0.05712890625,
-0.004974365234375,
0.0269775390625,
0.041259765625,
0.12060546875,
-0.0089111328125,
-0.01544189453125,
-0.012451171875,
0.05322265625,
-0.00830078125,
0.07763671875,
-0.0250244140625,
-0.023193359375,
0.031982421875,
-0.04931640625,
0.0... | 34,715 | 34715 | |
Applications of differential equations questions
January 17th 2010, 12:11 AM
mephisto50
Applications of differential equations questions
Salt is dissolved in a tank filled with 120 litres of water. Salt water containing 20g of salt per litre is poured in at a constant rate of 3 litres per minute and the mixture ... | 5 | [
-0.08447265625,
0.03515625,
0.054443359375,
-0.009765625,
-0.0164794921875,
-0.021484375,
0.029052734375,
0.09521484375,
-0.003753662109375,
0.00994873046875,
0.00665283203125,
-0.034912109375,
0.0947265625,
0.048583984375,
-0.076171875,
-0.0142822265625,
-0.00201416015625,
0.02368... | 34,716 | 34716 | |
where are these functions differentiable??
February 11th 2008, 12:00 AM
b00yeah05
where are these functions differentiable??
a) $f(x) = 1 / sin(x)$ < -- function is differentiable everywhere except 1/2*pi and -1/2*pi...correct??
b) $g(x) = ln(x^2)$...dont know where this one is differentiable
c) $h(x) ... | 5 | [
-0.01104736328125,
-0.0458984375,
0.03271484375,
-0.007232666015625,
-0.03125,
-0.0123291015625,
-0.00604248046875,
0.003570556640625,
0.006011962890625,
0.025390625,
0.09228515625,
0.0244140625,
0.01190185546875,
-0.044921875,
-0.03857421875,
-0.0240478515625,
0.033447265625,
-0.0... | 34,717 | 34717 | |
Kolmogorov-Sinai entropy
From Scholarpedia
Yakov Sinai (2009), Scholarpedia, 4(3):2034. doi:10.4249/scholarpedia.2034 revision #91406 [link to/cite this article]
Definition
We shall start by giving the definition of the entropy of dynamical system. Consider dynamical systems with discrete time. The phase space of ... | 4 | [
-0.08251953125,
-0.020263671875,
0.024169921875,
-0.018310546875,
0.004547119140625,
0.06591796875,
0.08837890625,
0.01904296875,
0.150390625,
-0.0390625,
-0.027587890625,
-0.06396484375,
0.05224609375,
-0.0023651123046875,
-0.026123046875,
-0.05712890625,
0.0238037109375,
0.095214... | 34,718 | 34718 | |
Topology question
January 19th 2009, 05:07 PM #1
Junior Member
Joined
Feb 2007
Posts
70
Topology question
I'm trying to teach myself topology from Munkres' book (first edition, it's over 30 years old!) and it's going very slowly. I'm having some difficulty proving the following:
Let $\{T_\alpha\}$ b... | 4 | [
0.07080078125,
-0.00836181640625,
0.037841796875,
-0.0927734375,
0.043212890625,
-0.0172119140625,
0.0703125,
0.052734375,
-0.016357421875,
-0.0380859375,
-0.01019287109375,
-0.01171875,
0.021240234375,
0.05810546875,
-0.01458740234375,
-0.0108642578125,
0.0126953125,
-0.0261230468... | 34,719 | 34719 | |
Homework Help
Posted by Alica on Thursday, May 10, 2012 at 8:45pm.
A 1.60-g bullet, moving at 542 m/s, strikes a 0.249-kg piece of wood at rest on a frictionless table. The bullet sticks in the wood, and the combined mass moves slowly down the table.
(a) Find the speed of the combination after the collision.
m/s
(b... | 4 | [
0.0947265625,
0.06005859375,
0.01116943359375,
0.0255126953125,
0.0712890625,
-0.005859375,
0.01483154296875,
0.006988525390625,
-0.0419921875,
0.04541015625,
0.0238037109375,
-0.034423828125,
-0.06640625,
-0.024658203125,
-0.056884765625,
0.011962890625,
-0.006500244140625,
0.0849... | 34,720 | 34720 | |
strange double integral
March 16th 2009, 06:39 AM #1
Junior Member
Joined
Feb 2009
Posts
34
strange double integral
Don't have idea what to do with this...
I(- to + infiniti) I(- to + infiniti) (x2+y2)e to the power of(-x4 -(2x2) * y2 -y4) dy dx
So it is a double integral...
Switching to p... | 4 | [
-0.0150146484375,
0.0184326171875,
-0.01953125,
-0.083984375,
0.09130859375,
-0.048583984375,
-0.0196533203125,
0.039306640625,
-0.0693359375,
0.0234375,
0.03271484375,
0.05517578125,
-0.021484375,
0.0673828125,
-0.01409912109375,
0.02197265625,
0.00689697265625,
-0.11279296875,
... | 34,721 | 34721 | |
MathGroup Archive: May 2008 [00758]
[Date Index] [Thread Index] [Author Index]
Re: "Reduce" wierdness (or too slow?)
• To: mathgroup at smc.vnet.net
• Subject: [mg89022] Re: [mg88996] "Reduce" wierdness (or too slow?)
• From: Andrzej ... | 5 | [
-0.0947265625,
0.01263427734375,
0.059814453125,
0.055908203125,
0.04150390625,
-0.04833984375,
-0.06982421875,
0.002838134765625,
0.02880859375,
0.0458984375,
-0.043212890625,
0.053466796875,
0.051513671875,
0.0419921875,
0.004974365234375,
-0.00653076171875,
0.054931640625,
0.006... | 34,722 | 34722 | |
Homework Help
Posted by Anonymous on Monday, April 27, 2009 at 4:24pm.
A ball of radius 12 has a round hole of radius 6 drilled through its center. Find the volume of the resulting solid.
I tried finding the volume of the sphere and the volume of the cyclinder then subtract however that did not work.
• Calculus - ... | 5 | [
0.00653076171875,
0.07470703125,
-0.01806640625,
-0.04150390625,
-0.03369140625,
-0.053955078125,
-0.01092529296875,
0.037353515625,
0.083984375,
0.00457763671875,
-0.08203125,
0.0037078857421875,
-0.00872802734375,
0.045654296875,
-0.0458984375,
-0.08447265625,
-0.0693359375,
0.05... | 34,723 | 34723 | |
Computational & Applied Mathematics
Services on Demand
Article
Indicators
Related links
Share
On-line version ISSN 1807-0302
Comput. Appl. Math. vol.30 no.1 São Carlos 2011
http://dx.doi.org/10.1590/S1807-03022011000100004
An SLP algorithm and its application to topology optimization^*
Francisco A. M. Gomes;... | 4 | [
-0.08984375,
-0.028564453125,
-0.046875,
-0.021484375,
0.00019550323486328125,
0.01153564453125,
-0.042724609375,
0.060302734375,
-0.00787353515625,
-0.040283203125,
-0.025634765625,
0.06005859375,
0.01043701171875,
0.061767578125,
-0.061767578125,
0.043701171875,
0.04296875,
-0.01... | 34,724 | 34724 | |
Question about Green's Theorem
July 26th 2010, 01:32 PM
steph3824
Question about Green's Theorem
I am working on a take home quiz for my Calculus III class, and one of the problems says "Verify Green's Theorem for the line integral ∫xy dx + x² dy, where C is the triangle with vertices (0,0)
(1,1) (2,0)."
... | 5 | [
-0.06201171875,
0.08154296875,
0.032470703125,
-0.04345703125,
0.04833984375,
0.00494384765625,
0.030517578125,
0.03125,
0.0118408203125,
0.01904296875,
-0.0277099609375,
0.01025390625,
0.0267333984375,
0.08154296875,
0.02783203125,
0.0159912109375,
-0.0830078125,
-0.044921875,
-... | 34,725 | 34725 | |
Inverse of a rational equation with exponential components
August 19th 2010, 05:24 PM
VectorRun
Inverse of a rational equation with exponential components
I'm having trouble coming up with the inverse function of this:
$\frac{1 + e^{-x}} {1 - e^{-x}}=y=f(x)$
I might be overcomplicating how I'm going ab... | 4 | [
-0.000675201416015625,
0.00112152099609375,
0.0263671875,
-0.0025634765625,
0.04638671875,
-0.11474609375,
0.0322265625,
-0.040283203125,
-0.05517578125,
0.06396484375,
0.06982421875,
-0.0181884765625,
-0.03125,
0.059814453125,
0.020263671875,
0.0262451171875,
-0.052734375,
-0.0234... | 34,726 | 34726 | |
Homework Help
Posted by Melissa on Saturday, October 22, 2011 at 7:21pm.
The sum of two numbers is 16 . What is the largest possible product between these numbers
• math - Ms. Sue, Saturday, October 22, 2011 at 7:25pm
1 + 16
2 + 14
3 + 13
4 + 12
5 + 11
6 + 10
7 + 9
8 + 8
Which ... | 4 | [
-0.0198974609375,
0.034912109375,
-0.0004787445068359375,
-0.12451171875,
-0.014892578125,
0.0225830078125,
-0.00579833984375,
0.09228515625,
-0.08447265625,
-0.02880859375,
-0.01177978515625,
0.09619140625,
0.029052734375,
0.09423828125,
-0.044921875,
0.1181640625,
0.07958984375,
... | 34,727 | 34727 | |
Tangent from a point to a curve?
June 23rd 2012, 05:45 AM #1
Newbie
Joined
Jun 2012
From
Beograd
Posts
4
Tangent from a point to a curve?
I have an important exam on Monday and I stumbled upon this problem.
Problem: Calculate the angle (with tan(x) function) between the tangent lines drawn from (... | 5 | [
-0.032470703125,
-0.10791015625,
0.019775390625,
0.0179443359375,
-0.016357421875,
-0.087890625,
0.00897216796875,
0.0966796875,
-0.040283203125,
0.0213623046875,
0.0732421875,
-0.03857421875,
0.04052734375,
0.0615234375,
0.0267333984375,
0.10546875,
-0.05810546875,
-0.0693359375,
... | 34,728 | 34728 | |
PDE - Fourier Method
February 15th 2009, 12:10 PM #1
Newbie
Joined
Feb 2009
Posts
8
PDE - Fourier Method
Obtain all solutions of the equation partial ^2 u/partial x^2 - partial u/partial y = u of the form u(x,y)=(A cos alpha x + B sin alphax)f(y) where A, B and alpha are constants. Find a solution
of... | 5 | [
-0.050048828125,
0.0216064453125,
0.0135498046875,
0.049560546875,
-0.017333984375,
0.064453125,
-0.00872802734375,
-0.072265625,
-0.057861328125,
-0.072265625,
0.0291748046875,
-0.00119781494140625,
-0.07666015625,
-0.0308837890625,
0.042236328125,
-0.0274658203125,
0.0159912109375,... | 34,729 | 34729 | |
Sniedovich -- OR/MS Games: 2. Tower of Hanoi
Abstract
In this discussion we examine the famous Towers of Hanoi puzzle from an OR/MS perspective, focusing on its educational content. We show that this puzzle provides an excellent environment for
illustrating a number of fundamental OR/MS problem-solving concepts in gen... | 5 | [
-0.050048828125,
0.0238037109375,
-0.037841796875,
-0.0849609375,
-0.08935546875,
-0.03564453125,
-0.0247802734375,
0.04931640625,
-0.01361083984375,
0.1376953125,
-0.08447265625,
0.0164794921875,
0.050537109375,
0.010986328125,
-0.00970458984375,
0.099609375,
0.0017852783203125,
-... | 34,730 | 34730 | |
Infinite Series
March 29th 2010, 06:49 PM
stevo25
Infinite Series
I originally thought this Infinite Series would be fairly easy, however I can't figure out how to evaluate it.
infinity
∑ (2^(j+4)) / (7^(j-3))
j=6
is there a certain formula i need to follow?
Thanks.
March 29th 2010, 07:0... | 5 | [
-0.06103515625,
-0.0400390625,
-0.032958984375,
0.099609375,
-0.04150390625,
0.022705078125,
-0.037841796875,
-0.0145263671875,
0.041015625,
0.039794921875,
-0.06640625,
-0.01806640625,
-0.032470703125,
0.0546875,
-0.01904296875,
-0.0191650390625,
-0.07373046875,
-0.01953125,
0.0... | 34,731 | 34731 | |
Rate problem
July 10th 2012, 03:45 AM #1
Member
Joined
Jan 2010
Posts
106
Thanks
2
Rate problem
A snowball melts in volume @ 1 cm³/min. At what rate is the diameter decreasing when the diameter is 10 cm?
Volume of a sphere: $\frac{4}{3}\pi r^{3}$
Volume of a sphere in terms of diameter: $\fr... | 4 | [
-0.0264892578125,
0.023193359375,
0.08056640625,
-0.0302734375,
-0.0166015625,
-0.033203125,
-0.051513671875,
0.130859375,
0.01409912109375,
0.0152587890625,
-0.018798828125,
-0.0169677734375,
0.0191650390625,
0.099609375,
-0.00193023681640625,
0.0162353515625,
0.010498046875,
0.07... | 34,732 | 34732 | |
Is there a purely group-theoretic reformulation of an equivalence of subgroups?
up vote 11 down vote favorite
3
There is an equivalence relation between inclusion of finite groups coming from the world of subfactors:
Definition: $(H_{1} \subset G_{1}) \sim(H_{2} \subset G_{2})$ if $(R^{G_{1}} \subset R^{H_{1}})\cong(... | 4 | [
-0.038330078125,
-0.07373046875,
-0.029052734375,
-0.002899169921875,
0.039306640625,
-0.0245361328125,
0.01092529296875,
-0.041748046875,
-0.059814453125,
-0.0595703125,
0.0302734375,
-0.05078125,
0.003662109375,
0.017822265625,
0.054931640625,
0.01611328125,
-0.00775146484375,
0.... | 34,733 | 34733 | |
Glossary of Terms and Formulae
The inductance rating of a core in nanohenries (100 Henries) per turn squared based on a peak AC flux density of 10 gauss (1 millitesla) at a frequency of 10 KHz. Note: 35.0 nH/N^2 =350µH for 100
turns =35.0 mH for 1000 turns.
Defines the relationship between magnetizing forc... | 4 | [
-0.01446533203125,
0.01556396484375,
-0.0849609375,
-0.036865234375,
-0.0206298828125,
-0.0291748046875,
-0.01171875,
0.1279296875,
-0.08642578125,
-0.00762939453125,
-0.028076171875,
-0.01458740234375,
0.08935546875,
-0.007720947265625,
0.00128936767578125,
0.078125,
0.029296875,
... | 34,734 | 34734 | |
Euclidean algorithm
August 8th 2009, 12:20 AM
geo2
Euclidean algorithm
Please someone help me with this I am confused(Crying)
1) find the Highest common Factor of 54735 and 238965
2) find the Lowest Common Multiple of 54735 and 238965
3) find the solution to the linear congruence 54735a + 238965b = ... | 5 | [
0.006591796875,
-0.0087890625,
-0.0361328125,
-0.10302734375,
0.059326171875,
-0.03857421875,
-0.022216796875,
0.06982421875,
-0.06396484375,
0.0234375,
0.03173828125,
0.08984375,
0.033935546875,
-0.049560546875,
0.0211181640625,
0.0234375,
-0.0242919921875,
0.01336669921875,
-0.... | 34,735 | 34735 | |
Uniform Accelerated Motion
February 16th 2011, 04:21 PM #1
Newbie
Joined
Feb 2011
Posts
3
Spotting a police car, you hit the breaks on your new porsche to reduce your speed from 90 mi/hr to 60 mi/hr at a constant rate over a distance of 200ft.
a)Find the accerleration in ft/s^2
b)How long does it ... | 4 | [
-0.052490234375,
0.06884765625,
0.033935546875,
-0.01153564453125,
0.047119140625,
0.07421875,
-0.1240234375,
0.0498046875,
-0.0252685546875,
0.0380859375,
0.111328125,
-0.0169677734375,
0.0238037109375,
-0.009033203125,
-0.08984375,
0.02392578125,
0.05810546875,
0.06787109375,
-... | 34,736 | 34736 | |
Untitled
Should I Buy a Washer and Dryer?
Class: Pre-algebra, middle school mathematics, or college-level developmental mathematics.
Materials: Calculator, appliance advertisements, and grocery store or department store advertisements.
Goals: This project will reinforce the concepts of simple interest and the total... | 4 | [
-0.0810546875,
0.09033203125,
0.05859375,
-0.015380859375,
-0.009033203125,
0.00421142578125,
-0.06591796875,
0.058349609375,
-0.04150390625,
0.0390625,
-0.00494384765625,
-0.00872802734375,
0.00262451171875,
0.057861328125,
0.0267333984375,
0.010986328125,
-0.0213623046875,
0.0198... | 34,737 | 34737 | |
IGCSE Maths Geometry
March 12th 2009, 07:33 AM
josemalawi
IGCSE Maths Geometry
pls help me on this;
two circles touch externally at T. A chord of the first circle XY is produced and touches the other at Z. The chord ZT of the second circle. when produced, cuts the first circle at W. prove that
angle XTW... | 4 | [
-0.1025390625,
0.06640625,
0.0135498046875,
0.0286865234375,
0.037353515625,
-0.044921875,
0.07958984375,
0.11474609375,
-0.00738525390625,
-0.0242919921875,
0.09912109375,
0.0031280517578125,
-0.004150390625,
0.031982421875,
0.00445556640625,
0.022216796875,
-0.1025390625,
0.01184... | 34,738 | 34738 | |
Double integrals
November 5th 2010, 10:56 PM #1
Senior Member
Joined
Feb 2008
Posts
297
Double integrals
I've just started learning double integration and I'm having trouble doing the following questions.
Use double integration to find the area of the following regions.
1) The region bounded by... | 4 | [
0.007781982421875,
-0.076171875,
0.018310546875,
-0.034912109375,
0.0308837890625,
-0.087890625,
-0.0634765625,
0.037109375,
-0.05078125,
-0.07861328125,
-0.059326171875,
0.07373046875,
-0.006256103515625,
0.0152587890625,
0.052978515625,
0.047607421875,
0.012451171875,
-0.07080078... | 34,739 | 34739 | |
Homework Help
Posted by Anonymous on Tuesday, May 29, 2007 at 9:11pm.
R=M^2(c/2-m/3)
dR/dM=CM-M^2
I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM?
set it to zero, and solve for m. You get two solutions. Use the second derivative to see which one is the max.
I get M=C. ... | 4 | [
0.057373046875,
0.0235595703125,
-0.0130615234375,
-0.004058837890625,
-0.025390625,
-0.022705078125,
0.005859375,
0.16015625,
-0.0238037109375,
0.0093994140625,
-0.00909423828125,
-0.01904296875,
0.03515625,
0.0947265625,
-0.0498046875,
0.0284423828125,
0.060791015625,
0.027954101... | 34,740 | 34740 | |
Revista Brasileira de Ciência do Solo
Servicios Personalizados
Articulo
Indicadores
Links relacionados
Compartir
versión impresa ISSN 0100-0683
Rev. Bras. Ciênc. Solo vol.35 no.1 Viçosa enero/feb. 2011
http://dx.doi.org/10.1590/S0100-06832011000100009
... | 4 | [
-0.01080322265625,
-0.06982421875,
-0.01953125,
0.0274658203125,
0.025146484375,
0.0230712890625,
-0.06884765625,
0.0810546875,
0.037841796875,
0.0062255859375,
0.1181640625,
-0.045654296875,
-0.02587890625,
-0.05078125,
0.01953125,
-0.03759765625,
-0.006072998046875,
0.04443359375... | 34,741 | 34741 | |
diving polynomials
November 6th 2008, 06:09 PM #1
Newbie
Joined
Nov 2008
Posts
1
diving polynomials
all i need is the division. PLEASE DO NOT SIMPLIFY ALL THE WAY!
example: (4x^2+2x)/2x = 2x+1
so
2. (4ab-2b) / -2b
3. (12rst-6rs^2t) / 3rs
4. 4y^3 - 2y^2 + 6y / (-2y)
5. (-18r^5t^2... | 4 | [
-0.0308837890625,
0.0257568359375,
0.0174560546875,
0.050537109375,
0.0174560546875,
0.00543212890625,
-0.06640625,
-0.05126953125,
0.033447265625,
-0.03271484375,
0.003814697265625,
-0.052001953125,
0.030029296875,
0.051513671875,
-0.07177734375,
0.035400390625,
-0.04150390625,
0.... | 34,742 | 34742 | |
Homework Help
Posted by marie on Sunday, January 24, 2010 at 7:42am.
use trapezium rule with 3 intervals to estimate the value of intergrating x=0 and x=3 squarerooting 1+xsquared
• pure maths - Reiny, Sunday, January 24, 2010 at 8:49am
Did you make your diagram?
I read your question as estimating the def... | 4 | [
0.045166015625,
-0.01904296875,
0.0791015625,
0.00121307373046875,
-0.01019287109375,
-0.052734375,
0.007293701171875,
0.11279296875,
-0.08984375,
0.00421142578125,
-0.01611328125,
-0.01336669921875,
0.05126953125,
-0.0233154296875,
-0.04541015625,
0.00640869140625,
0.001754760742187... | 34,743 | 34743 | |
Finite sum question
March 26th 2011, 02:27 AM
mohammadfawaz
Finite sum question
Hi. I need help in the following problem please.
If $(1+z)^n=a_0 + \sum{a_k z^k}$, where $n$ is a positive integer, prove that:
$a_0+a_4+a_8+...=2^{n-2} + 2^{\frac{1}{2}n-1}cos\frac{n\pi}{4}$
Thank you
March 26th 2011, ... | 4 | [
-0.12158203125,
0.07958984375,
0.049072265625,
0.1357421875,
-0.013427734375,
0.0274658203125,
0.052734375,
0.05810546875,
0.01202392578125,
-0.021728515625,
0.004119873046875,
-0.068359375,
0.031982421875,
-0.0172119140625,
-0.11083984375,
-0.01312255859375,
0.009765625,
-0.011901... | 34,744 | 34744 | |
Homework Help
Posted by lily on Wednesday, December 7, 2011 at 2:00pm.
You deposit $2,000 in an account that pays 8% interest compounded semiannually. After 4 years, the interest rate is increased to 8.28% compounded quarterly. What will be the value of the account
after 4 more years? (Do not round until the final ans... | 4 | [
0.0615234375,
0.07275390625,
-0.006378173828125,
0.00811767578125,
-0.0164794921875,
-0.01031494140625,
-0.01300048828125,
0.0703125,
0.0242919921875,
0.051025390625,
0.032470703125,
-0.052001953125,
-0.03857421875,
0.087890625,
0.045166015625,
0.0498046875,
-0.09033203125,
-0.0255... | 34,745 | 34745 | |
Calculus AP need help!
Posted by stacey on Wednesday, February 29, 2012 at 11:44pm.
i dont know how or what to starts
Find the slope of the tangent line to the curve 4x^2+3xy+3y^3=-251 at the point (-4,-5)
• Calculus AP need help! - Steve, Thursday, March 1, 2012 at 11:41am
sure you know where to start. slope... | 5 | [
-0.0703125,
-0.02001953125,
0.0029296875,
-0.0250244140625,
0.0267333984375,
0.083984375,
-0.00616455078125,
0.06103515625,
0.0093994140625,
-0.035400390625,
0.08349609375,
-0.02490234375,
0.061279296875,
0.01470947265625,
-0.00860595703125,
0.1064453125,
-0.0703125,
-0.04907226562... | 34,746 | 34746 | |
Quadratic Optimisation with Orthogonality Constraint
January 26th 2010, 06:19 AM #1
Newbie
Joined
Jul 2009
Posts
2
Quadratic Optimisation with Orthogonality Constraint
I have an optimisation problem as follows:
min ||PAP' - B||^2_F
s.t. P'P = I
where " ' " means transpose, A, B, P are real ... | 4 | [
-0.03759765625,
-0.0166015625,
0.006744384765625,
-0.091796875,
0.0120849609375,
0.109375,
-0.018310546875,
0.004119873046875,
-0.052734375,
0.04443359375,
0.059326171875,
0.034912109375,
0.034423828125,
-0.0296630859375,
-0.0400390625,
0.111328125,
-0.0172119140625,
-0.0341796875,... | 34,747 | 34747 | |
Homework Help
Posted by anonymous on Thursday, April 17, 2008 at 6:07pm.
I need help solving this using the substitution method
4p-2q= 16,
5p + 7q= 1
• Math - amanda, Thursday, April 17, 2008 at 6:15pm
19-7-5=
• Math - PsyDAG, Thursday, April 17, 2008 at 7:56pm
Start with one formula.
4p - 2q = ... | 4 | [
-0.037841796875,
0.08447265625,
0.10205078125,
0.0291748046875,
-0.037353515625,
0.049072265625,
-0.00592041015625,
0.03466796875,
-0.054931640625,
-0.003936767578125,
0.0240478515625,
-0.03857421875,
-0.005584716796875,
0.07080078125,
-0.0240478515625,
0.034912109375,
-0.0771484375,... | 34,748 | 34748 | |
Homework Help
Posted by pat on Saturday, December 4, 2010 at 1:37am.
Find the center and vertices of the ellipse.
4x^2 + 16y^2 - 64x - 32y + 208 = 0
• Precalc - Henry, Sunday, December 5, 2010 at 9:05pm
4X^2 + 16Y^2 - 64X - 32Y + 208 = 0.
Rearrange variables:
4X^2 - 64X + 16Y^2 - 32Y = -208,
Divi... | 4 | [
0.038818359375,
0.040771484375,
-0.004180908203125,
-0.005706787109375,
0.06103515625,
0.00225830078125,
-0.052734375,
0.0673828125,
-0.005859375,
-0.008544921875,
0.052978515625,
0.0194091796875,
-0.05810546875,
0.00125885009765625,
-0.013916015625,
0.0751953125,
-0.052490234375,
... | 34,749 | 34749 | |
Ingeniare. Revista chilena de ingeniería
Servicios Personalizados
Articulo
Indicadores
Links relacionados
versión On-line ISSN 0718-3305
Ingeniare. Rev. chil. ing. v.18 n.3 Arica dic. 2010
http://dx.doi.org/10.4067/S0718-33052010000300013
Ingeniare. Revista chilena de ingeniería, vol. 18 Nº 3, 2010, pp. 395-400... | 4 | [
-0.03173828125,
-0.017333984375,
-0.08056640625,
-0.025390625,
-0.051513671875,
-0.041748046875,
0.0272216796875,
-0.00860595703125,
-0.07568359375,
-0.01336669921875,
0.1162109375,
0.058837890625,
0.03515625,
-0.021728515625,
0.0216064453125,
0.04638671875,
0.0272216796875,
0.0161... | 34,750 | 34750 | |
help in building fence problem
February 9th 2011, 04:49 AM #1
Member
Joined
Jun 2010
From
Zewail University - Cairo - Egypt
Posts
136
help in building fence problem
There is a wall in your backyard. It is so long that you can’t see its endpoints. You want to build a fence of length L such that the ar... | 4 | [
0.064453125,
0.053466796875,
0.0113525390625,
-0.072265625,
0.0135498046875,
-0.03466796875,
-0.035400390625,
0.09228515625,
-0.06005859375,
0.011474609375,
-0.0260009765625,
0.00628662109375,
0.0478515625,
0.1142578125,
-0.000919342041015625,
0.03515625,
0.031982421875,
-0.0131835... | 34,751 | 34751 | |
Block Algorithms and their
Derivation
Next: Examples of Block Algorithms Up: Performance of LAPACK Previous: The BLAS as the   Contents   Index
Block Algorithms and their Derivation
It is comparatively straightforward to recode many of the algorithms in LINPACK and EISPACK so that they call Level 2 BL... | 4 | [
-0.140625,
0.05615234375,
-0.07373046875,
-0.0537109375,
0.055908203125,
-0.04736328125,
-0.04833984375,
-0.0177001953125,
-0.046875,
0.0006561279296875,
0.00274658203125,
0.058349609375,
-0.028564453125,
-0.05126953125,
-0.047607421875,
0.0185546875,
-0.033935546875,
0.06591796875... | 34,752 | 34752 | |
maximum likelihood estimator!
May 10th 2013, 03:39 AM #1
Member
Joined
Jul 2011
Posts
93
maximum likelihood estimator!
tried to solve a problem on MLE of the this type below;
to find the MLE of $\theta$
$f(x;\theta) = \theta x^{\theta-1}$$0<x<1, 0<\theta<\infty$
$L(x;\theta) = \prod_{i=1}^... | 4 | [
-0.08984375,
-0.08349609375,
0.05419921875,
-0.1201171875,
0.023681640625,
-0.04150390625,
0.0023345947265625,
0.01287841796875,
0.00701904296875,
-0.0166015625,
0.00909423828125,
0.03369140625,
0.099609375,
-0.03515625,
-0.060302734375,
0.10986328125,
0.00011968612670898438,
-0.03... | 34,753 | 34753 | |
Homework Help
Posted by crystal powell on Wednesday, March 6, 2013 at 1:25pm.
If told that the 3rd term of a GP is 36 and the 8th term is 8748. find the first term and the common ration.
• maths - Dr. Jane, Wednesday, March 6, 2013 at 1:36pm
start with 4 with a factor of 3
4 12 36 for the 3rd
• maths -... | 4 | [
-0.0478515625,
-0.0238037109375,
-0.07568359375,
0.007537841796875,
-0.03955078125,
0.01324462890625,
-0.032470703125,
0.00110626220703125,
-0.03271484375,
-0.006927490234375,
0.00128173828125,
0.003814697265625,
-0.006256103515625,
0.08349609375,
0.0021514892578125,
-0.0084228515625,
... | 34,754 | 34754 | |
Question on Galois Theory
April 22nd 2009, 02:41 PM
Jose27
Question on Galois Theory
Hey, I have been working on this problem for a while now, but I just can't solve it, so I'm posting it to see if anyone has any idea how to work it out:
Let k be an arbitrary field and K=k(x) be the fraction field of the po... | 5 | [
-0.000732421875,
-0.0010833740234375,
0.07275390625,
-0.0009613037109375,
0.03076171875,
0.01025390625,
0.05810546875,
-0.0390625,
-0.01300048828125,
-0.007537841796875,
-0.01123046875,
-0.037841796875,
0.01806640625,
-0.07177734375,
-0.0712890625,
0.0556640625,
-0.037109375,
-0.01... | 34,755 | 34755 | |
The Speed of Sound
Lesson 2: Sound Properties and Their Perception
The Speed of Sound
A sound wave is a pressure disturbance which travels through a medium by means of particle interaction. As one particle becomes disturbed, it exerts a force on the next adjacent particle, thus
disturbing that particle from rest and ... | 4 | [
0.06884765625,
-0.0595703125,
-0.047607421875,
0.032958984375,
-0.07080078125,
0.07080078125,
0.00653076171875,
-0.053955078125,
0.006500244140625,
-0.032958984375,
0.05712890625,
-0.0517578125,
-0.0084228515625,
-0.051513671875,
-0.00482177734375,
0.00994873046875,
0.1484375,
0.04... | 34,756 | 34756 | |
Vector Calculations
August 20th 2011, 01:24 AM #1
Member
Joined
Jan 2008
Posts
130
Vector Calculations
Hello all, not sure if this is the right thread but i need to check some of my answers to some problems. thanks.
if u = i + 2j - k and v = j - 3k are vectors in R^3. Find:
a) a unit vector poi... | 4 | [
-0.051025390625,
0.010498046875,
-0.11962890625,
-0.1025390625,
-0.00811767578125,
-0.005523681640625,
-0.002655029296875,
-0.0037078857421875,
-0.03955078125,
0.0142822265625,
0.047119140625,
-0.01458740234375,
-0.01483154296875,
0.01507568359375,
0.0235595703125,
-0.05224609375,
-0... | 34,757 | 34757 | |
direct product of finite local rings
June 25th 2010, 11:08 PM #1
Junior Member
Joined
Jan 2010
Posts
59
Thanks
3
direct product of finite local rings
Let $R$ be a commutative ring with identity. Let $S$ be the set of all non-unit elements of $R$ . If $S-J(R)$ ( $J(R)$ is the jacobson radical of $R$ )... | 5 | [
-0.05712890625,
-0.005584716796875,
-0.0498046875,
0.0015869140625,
0.040771484375,
0.0101318359375,
0.09228515625,
0.01708984375,
-0.0245361328125,
-0.0203857421875,
-0.0240478515625,
0.04736328125,
0.08935546875,
0.010986328125,
-0.013916015625,
0.007568359375,
0.0281982421875,
0... | 34,758 | 34758 | |
Speed Prior-Based Inductive Inference
Next: Practical Applications of Algorithm Up: Temporal Complexity Previous: Speed Prior S and
Speed Prior-Based Inductive Inference
Given S, as we observe an initial segment x's finite continuations 15)),
where z^2, given z^1. Having observed x we will predict those y th... | 4 | [
-0.09521484375,
0.0269775390625,
0.0556640625,
-0.021240234375,
0.0634765625,
-0.0289306640625,
-0.0284423828125,
-0.0001888275146484375,
0.04150390625,
0.01287841796875,
-0.0289306640625,
0.1162109375,
0.01251220703125,
-0.058837890625,
0.0011444091796875,
0.026611328125,
0.07373046... | 34,759 | 34759 | |
Tube lemma generalization
October 27th 2010, 01:32 AM
Gopnik
Tube lemma generalization
So, here's the problem:
Let A and B be compact subspaces of X and Y, respectively. Let N be an open set in X x Y containing A x B. One needs to show that there exist open sets U in X and V in Y such that A x B $\
subs... | 4 | [
-0.00604248046875,
-0.01806640625,
-0.028076171875,
-0.07958984375,
0.0250244140625,
0.107421875,
0.10400390625,
-0.045166015625,
-0.058349609375,
-0.03857421875,
-0.08349609375,
0.0166015625,
0.038330078125,
0.06201171875,
0.051513671875,
0.11669921875,
0.0125732421875,
-0.0400390... | 34,760 | 34760 | |
Error Formula
November 10th 2011, 02:22 PM #1
Member
Joined
Aug 2008
Posts
225
Error Formula
For the recursive algorithm p0=1, p1=1/3, pn=(10/3)(pn-1 - pn-2) for n >1 let the error be denoted by p'=pn+en for initial error e0, and assume the error has the form
p'0=p0+e0
p'1=p1+3e0
p'n=(10/3)(... | 4 | [
-0.1259765625,
0.01226806640625,
0.03857421875,
-0.03466796875,
0.0021820068359375,
-0.0245361328125,
0.021240234375,
0.087890625,
-0.02490234375,
0.023681640625,
0.01470947265625,
-0.055419921875,
0.0128173828125,
0.0277099609375,
-0.0111083984375,
-0.049560546875,
-0.08837890625,
... | 34,761 | 34761 | |
solving equations
April 7th 2009, 11:53 PM
Craka
solving equations
I'm trying to solve the following set of equations, I'm trying to work out how to put them into matrix form to solve, but I can't see how to.
$<br /> \begin{array}{l}<br /> B_1 = \frac{{1.5H_1 }}{{100 + H_1 }} \\ <br /> B_2 = \frac{{1.5H_2 }... | 4 | [
-0.0220947265625,
0.054443359375,
-0.07958984375,
-0.0269775390625,
0.00518798828125,
-0.083984375,
-0.031494140625,
0.025634765625,
-0.0732421875,
0.004425048828125,
0.043212890625,
-0.09716796875,
0.03271484375,
-0.026123046875,
0.0130615234375,
0.1787109375,
-0.04541015625,
-0.0... | 34,762 | 34762 | |
Confidence Intervals and Sample Size
December 8th 2008, 12:39 AM #1
Junior Member
Joined
Apr 2008
Posts
56
What is the 2 sided confidence interval for the mean strength of a new structural column? The sample size is 25, the mean is 15,000 pounds, and the sample standard deviation is 200 lbs. Use a
con... | 5 | [
0.0030975341796875,
0.04345703125,
0.07958984375,
-0.00136566162109375,
0.007232666015625,
-0.03515625,
-0.0206298828125,
0.1279296875,
-0.0252685546875,
0.00201416015625,
0.017578125,
-0.05712890625,
-0.0186767578125,
-0.055419921875,
-0.008056640625,
0.08984375,
0.054931640625,
-... | 34,763 | 34763 | |
Homework Help
Posted by todd on Friday, June 22, 2012 at 7:33am.
The speed of a passenger train is 16 mph faster than the speed
of a freight train. The passenger train travles 300 miles in
the same time it takes the freight train to travel 220 miles.
find the speed of each train
• algebra - Reiny, Friday, June 2... | 4 | [
0.0281982421875,
-0.0296630859375,
-0.04052734375,
-0.00982666015625,
-0.0269775390625,
0.01300048828125,
-0.033935546875,
0.00897216796875,
-0.0712890625,
-0.030517578125,
0.08349609375,
0.0081787109375,
0.048583984375,
0.021240234375,
-0.003814697265625,
0.044677734375,
0.025634765... | 34,764 | 34764 | |
basic chemistry formulas
June 29th 2009, 07:32 AM #1
Newbie
Joined
Jun 2009
Posts
3
basic chemistry formulas
Having problems figurring out my math part of chemistry. Please someone help me.
How many moles of NaCl are dissolved in 395 mL of a 1.20M NaCl solution? i am not sure how i am to write this... | 4 | [
-0.050537109375,
0.0194091796875,
0.0036773681640625,
0.028076171875,
0.040283203125,
-0.052734375,
0.07861328125,
-0.00628662109375,
0.036376953125,
-0.0458984375,
0.037353515625,
-0.1015625,
0.0771484375,
0.07861328125,
-0.00689697265625,
0.024169921875,
-0.01019287109375,
-0.043... | 34,765 | 34765 | |
Homework Help
Posted by Ron on Monday, May 16, 2011 at 7:45pm.
An urn contains 7 red marbles labeled (1,2,3,4,5,6,7) and 5 green marbles labeled (1,2,3,4,5) four marbles are pulled out at once. what is the probability.
A. all four marbles are red
B. more of the marbles are green than red
C. both red and green marbl... | 4 | [
0.000946044921875,
-0.00726318359375,
0.05810546875,
-0.04638671875,
-0.08056640625,
0.006439208984375,
0.0556640625,
0.0017547607421875,
-0.015869140625,
0.017578125,
-0.032958984375,
-0.042236328125,
-0.0181884765625,
0.0361328125,
-0.07177734375,
0.036865234375,
0.0045166015625,
... | 34,766 | 34766 | |
Question about limits
August 1st 2012, 09:00 AM #1
Newbie
Joined
Nov 2011
Posts
17
Question about limits
Is this a valid proof?
Problem: Prove; If lim an < lim bn, then there exists N that belongs to the natural numbers such that n >= N implies an < bn
My solution:
Let lim an = L and lim b... | 4 | [
-0.043701171875,
-0.039794921875,
0.0556640625,
-0.0478515625,
0.02197265625,
0.057373046875,
0.0242919921875,
0.00323486328125,
-0.0517578125,
-0.05029296875,
-0.0238037109375,
-0.01434326171875,
0.08349609375,
-0.0021820068359375,
0.09814453125,
0.08251953125,
-0.0034332275390625,
... | 34,767 | 34767 | |
Homework Help
Posted by Jane on Sunday, February 12, 2012 at 4:32pm.
How do I set this up and how do I solve:
The sum of two numbers is 20 The difference between 3 times the larger number and twice the smaller number is 40. What is the larger number?
• Math - Reiny, Sunday, February 12, 2012 at 5:16pm
let the... | 4 | [
0.01141357421875,
0.08251953125,
0.043212890625,
-0.07470703125,
-0.041259765625,
-0.01019287109375,
0.0245361328125,
0.04052734375,
-0.07568359375,
0.0106201171875,
0.04638671875,
0.0223388671875,
0.083984375,
0.0537109375,
0.042236328125,
0.01708984375,
-0.051025390625,
0.0583496... | 34,768 | 34768 | |
differential equations
November 8th 2008, 05:37 PM #1
Member
Joined
Oct 2008
Posts
76
differential equations
Find a function y of x such that 4yy'= x and y(4) = 5
y = ? (function of x)
I approached this problems in the same way as other differential equations but have not arrived at a correct ... | 4 | [
-0.027099609375,
-0.044921875,
0.048828125,
0.01123046875,
0.024658203125,
0.027099609375,
-0.05029296875,
0.038330078125,
0.003875732421875,
-0.0576171875,
0.10546875,
-0.0267333984375,
-0.050048828125,
0.109375,
-0.0211181640625,
0.06201171875,
-0.0198974609375,
-0.00466918945312... | 34,769 | 34769 | |
Isosceles triangle, angle, area of triangle inscribed in a circle!
April 26th 2008, 05:08 PM #1
Newbie
Joined
Apr 2008
Posts
12
Isosceles triangle, angle, area of triangle inscribed in a circle!
Help please!! T_T
An isosceles triangle is inscribed in a circle of radius R. Determine the value of thet... | 4 | [
-0.022216796875,
0.0458984375,
-0.05078125,
-0.03515625,
-0.023681640625,
-0.09521484375,
-0.04736328125,
0.1435546875,
-0.01458740234375,
-0.02392578125,
-0.0264892578125,
-0.01025390625,
0.009521484375,
0.1123046875,
0.10888671875,
0.025146484375,
-0.0108642578125,
0.03857421875,... | 34,770 | 34770 | |
Golden ratio and special angles
The golden ratio comes up in unexpected places. This post will show how the sines and cosines of some special angles can be expressed in terms of the golden ratio and its complement.
Recall the golden ratio is
φ = (1 + √ 5)/2
and the complementary golden ratio is
φ’ = (1 – √ 5)/2.
... | 4 | [
-0.083984375,
-0.01544189453125,
-0.0157470703125,
0.02294921875,
-0.005706787109375,
-0.005584716796875,
0.0458984375,
0.01031494140625,
0.1005859375,
-0.05029296875,
0.0771484375,
-0.0439453125,
0.01434326171875,
0.0546875,
0.044189453125,
-0.037109375,
-0.0274658203125,
0.053710... | 34,771 | 34771 | |
Probability -- Help?
Posted by Cheri on Friday, December 1, 2006 at 9:23am.
Sampling one at a time with replacement from a bag with 8 blue, 7 red, and 5 green. What is the probability of getting at least two red in 3 draws? The book says the probability is 0.2818 but doesn't
explain why. Any help????
Unfortunately, t... | 4 | [
0.0023345947265625,
-0.06982421875,
0.00762939453125,
0.030029296875,
0.0126953125,
-0.0033416748046875,
0.021240234375,
-0.0194091796875,
0.053466796875,
0.0257568359375,
-0.051513671875,
-0.046875,
0.01495361328125,
0.0269775390625,
0.09375,
0.09130859375,
-0.0225830078125,
0.009... | 34,772 | 34772 | |
Formula for nth term of sequence
Suppose that $a_{1} = 3$ and $a_{n+1}=a_{n}\left(a_{n}+2\right)$. Find a formula for the nth term of this sequence.
Here's a hint: consider the fact that $(2^k-1)[(2^k-1)+2]=(2^k-1)(2^k+1)=2^{2k}-1$. --Kevin C.
$a_{n+1}=a_{n}\left(a_{n}+2\right)\text{ implies }a_{n+1}+1=a_{n}\left(a_{... | 4 | [
-0.1328125,
0.00113677978515625,
-0.006561279296875,
0.01611328125,
-0.0546875,
0.07373046875,
-0.058837890625,
0.039794921875,
0.0191650390625,
-0.0093994140625,
-0.03076171875,
-0.06494140625,
0.0057373046875,
0.0146484375,
-0.036376953125,
0.0400390625,
-0.038818359375,
0.015563... | 34,773 | 34773 | |
Homework Help
Posted by maryanne on Monday, May 24, 2010 at 5:52pm.
What is the total resistance in a parallel circuit with a 10 ohm lamp and a 15 ohm lamp?
• physics - bobpursley, Monday, May 24, 2010 at 6:33pm
There is a formula you can use, but instead, do this:
assume 150 volts>
Current in 10 ohm ... | 4 | [
-0.048583984375,
0.01953125,
-0.037841796875,
-0.043212890625,
0.006317138671875,
-0.0289306640625,
0.0174560546875,
0.041015625,
0.0036468505859375,
0.1328125,
0.08837890625,
-0.10302734375,
0.034423828125,
0.055908203125,
-0.00927734375,
0.07177734375,
-0.10302734375,
-0.02502441... | 34,774 | 34774 | |
Equations and Given Points in Slopes
November 1st 2007, 01:52 AM
sgw89
Equations and Given Points in Slopes
Find the equation of the line that contains the given point and has the given slope:
Point (5,1), m= 2/3
Point (1,5), m = -4/5
Point (0,0), m = 3/4
Point (2,0), m = 5/6
Point (-2,5... | 4 | [
-0.10888671875,
-0.007110595703125,
0.0078125,
0.00274658203125,
0.033935546875,
0.042724609375,
-0.00408935546875,
0.04296875,
0.033203125,
-0.0040283203125,
0.08251953125,
-0.06494140625,
0.019287109375,
0.0106201171875,
0.0257568359375,
0.1962890625,
-0.0927734375,
0.00160980224... | 34,775 | 34775 | |
Systems of Equations/Inequalities
April 20th 2008, 11:33 AM
iheartthemusic29
Systems of Equations/Inequalities
1.) Solve the following system of equations using Gaussian elimination:
3w+10x-2y+3z=55
w+12x-11y-z= 69
-3w-6x-5y-10z=-47
-3w+9x+5y+4z=-1
Here's what I did so far:
swap R1 and R... | 4 | [
-0.06298828125,
0.01116943359375,
-0.0283203125,
-0.0260009765625,
0.00933837890625,
-0.004974365234375,
0.01458740234375,
-0.0078125,
-0.134765625,
0.025390625,
-0.035400390625,
0.03955078125,
0.1240234375,
0.031982421875,
-0.031494140625,
0.0703125,
-0.061767578125,
-0.0072937011... | 34,776 | 34776 | |
Find using the definition........the gradient function f '(x)
July 19th 2008, 07:58 AM #1
Junior Member
Joined
Jul 2008
From
Sydney, Australia
Posts
30
Find using the defintion f '(c) lim = f(x) - f(c)
x -> c _______
x - c
the gradient function f ' (x) for:
a) f(x) = 1/x
b)f(x) ... | 5 | [
-0.032470703125,
-0.024169921875,
0.0341796875,
0.042724609375,
-0.0146484375,
0.031005859375,
-0.038330078125,
-0.0205078125,
-0.02392578125,
0.0140380859375,
0.037109375,
-0.07568359375,
0.056396484375,
0.041748046875,
0.0155029296875,
0.056884765625,
-0.0233154296875,
-0.0078125... | 34,777 | 34777 | |
Getting a negative volume using shell method
July 19th 2013, 10:53 AM
Vee
Getting a negative volume using shell method
Hello!
I hope you don't mind that I took a picture of my work since there is a lot written down.
The meat of the matter is that I am getting a negative volume as my answer when I use th... | 5 | [
-0.0118408203125,
0.0322265625,
0.052001953125,
-0.04443359375,
-0.0218505859375,
-0.1484375,
-0.1123046875,
0.029052734375,
0.052978515625,
0.06591796875,
0.06591796875,
-0.0269775390625,
-0.042236328125,
0.0283203125,
-0.0311279296875,
-0.0537109375,
0.00170135498046875,
-0.05004... | 34,778 | 34778 | |
If a divides b, then a's Fib number divides b's Fib number
November 11th 2013, 11:59 PM
jtoem
If a divides b, then a's Fib number divides b's Fib number
The hint is to use F[a+b] = F[a]F[b+1] + F[a-1]F[b].
What i keep trying:
a divides b => there is a q in Z such that aq = b.
so aq + a = b + a, an... | 5 | [
-0.076171875,
0.05322265625,
-0.038330078125,
-0.0059814453125,
-0.000492095947265625,
0.0576171875,
0.08447265625,
0.00665283203125,
-0.056640625,
-0.00689697265625,
-0.0654296875,
-0.060546875,
0.03564453125,
0.046875,
-0.01361083984375,
0.0172119140625,
-0.046630859375,
0.023437... | 34,779 | 34779 | |
Continuous Probability functions
May 12th 2011, 03:08 PM #1
Continuous Probability functions
http://myasdcommunity.com/continuous.jpeg
(I keep getting not a valid image file, sorry, so couldn't display :S...)
I've managed the first two parts of the question. How ever i was a bit confused as for how the s... | 5 | [
-0.01904296875,
0.0498046875,
0.0218505859375,
-0.0172119140625,
0.004486083984375,
-0.06787109375,
0.0322265625,
0.0458984375,
0.0654296875,
-0.002044677734375,
0.000881195068359375,
-0.0306396484375,
0.0849609375,
0.09228515625,
-0.029052734375,
0.052734375,
0.0062255859375,
-0.1... | 34,780 | 34780 | |
Show that the tangent lines of two different functions are parallel
April 18th 2011, 05:59 PM #1
Member
Show that the tangent lines of two different functions are parallel
1. What function can we use to represent the vertical distance?
2. How do you find the greatest value of a function (maximum)? Remember; ... | 4 | [
-0.059814453125,
-0.048828125,
0.0242919921875,
-0.1064453125,
-0.07275390625,
0.0211181640625,
-0.023193359375,
0.10205078125,
-0.0146484375,
0.035888671875,
0.00872802734375,
-0.01544189453125,
0.031982421875,
0.004119873046875,
-0.052978515625,
0.0004215240478515625,
-0.0119018554... | 34,781 | 34781 | |
Trees problem
October 11th 2009, 04:46 PM #1
Newbie
Joined
Sep 2009
Posts
11
1.
(a) Let T be a tree with vertices of degree 1 and 3 only. If T has 10 vertices of degree 3, how many vertices does it have of degree 1?
(b) Let G be a connected graph with n vertices and n edges. How many cycles does ... | 4 | [
-0.07080078125,
0.0113525390625,
-0.02587890625,
0.0023345947265625,
0.047119140625,
0.01611328125,
0.07666015625,
-0.0020904541015625,
-0.048095703125,
0.08056640625,
0.0267333984375,
-0.036865234375,
0.0115966796875,
-0.037109375,
0.0703125,
-0.005218505859375,
-0.0576171875,
-0.... | 34,782 | 34782 | |
Implicit Differentiation
April 23rd 2009, 08:51 AM #1
Newbie
Joined
Apr 2009
Posts
13
$x^2-xy-4y^2=0$
Find: $(dy)/(dx)$
Thanks in advance!
I got this answer:
$<br /> (dy)/(dx)=(y+10x)/(x+8y)<br />$
and i just want to make sure I did it right...
Last edited by mr fantastic; April... | 5 | [
-0.0400390625,
0.0206298828125,
0.064453125,
0.0225830078125,
0.0064697265625,
0.0751953125,
-0.046630859375,
0.08447265625,
0.00555419921875,
-0.06494140625,
0.1123046875,
0.021484375,
0.0172119140625,
0.061767578125,
0.0247802734375,
0.0751953125,
-0.039306640625,
0.03564453125,
... | 34,783 | 34783 | |
Math Help
January 27th 2007, 07:13 AM #1
Member
Joined
Nov 2006
From
chicago
Posts
156
Given, a paper cone for water is 6 cm across at the top and 10 cm high.
If it is filled to half of its height, what percent of it's total volume does it contain?
If it is filled to half of its volume, wha... | 4 | [
0.0230712890625,
0.0478515625,
0.0673828125,
-0.01953125,
-0.054443359375,
-0.02099609375,
0.003265380859375,
0.10888671875,
-0.080078125,
0.072265625,
-0.1103515625,
-0.054931640625,
0.040283203125,
0.10498046875,
-0.022705078125,
-0.006195068359375,
-0.06787109375,
0.024780273437... | 34,784 | 34784 | |
Homework Help
Posted by Sasha on Wednesday, October 6, 2010 at 9:35pm.
find h'(2) given that f(2) = -3, g(2) = 4, f'(2)= -2 and g'(2)= 7.
A. h(x) = 5f(x) - 4g(x)
B. h(x) = f(x)g(x)
C. h(x) = f(x)/g(x)
D. h(x) = g(x)/ 1+ f(x)
• calculus - Joshie, Wednesday, October 6, 2010 at 10:04pm
simply chart it out.
... | 4 | [
-0.06689453125,
-0.0184326171875,
0.07666015625,
-0.048095703125,
9.275972843170166e-7,
0.0228271484375,
-0.0439453125,
0.041259765625,
-0.0400390625,
0.04541015625,
0.0703125,
-0.0849609375,
0.01904296875,
-0.0028228759765625,
-0.076171875,
0.040283203125,
-0.0859375,
-0.009948730... | 34,785 | 34785 | |
Existence/Boundedness of Partial Derivatives in open set implies continuity
September 15th 2010, 08:14 PM
ajskim
Existence/Boundedness of Partial Derivatives in open set implies continuity
Hi,
If we have $U\subset R^n$, U open, and f:U->R, prove that if all of f's partial derivatives exist and are bounded th... | 4 | [
0.06201171875,
0.07275390625,
-0.010498046875,
-0.072265625,
0.0303955078125,
0.05615234375,
-0.021728515625,
0.038818359375,
-0.0654296875,
-0.02001953125,
-0.021728515625,
0.07861328125,
0.0299072265625,
0.005889892578125,
0.08837890625,
-0.050048828125,
0.041015625,
-0.133789062... | 34,786 | 34786 | |
Quadratic residue mod 2^r
March 11th 2010, 05:18 AM #1
Member
Joined
Nov 2009
Posts
169
Quadratic residue mod 2^r
If $n \equiv 1$(mod 8), then n is a quadratic residue modulo $2^r$ for any $r \geq 3$
I don'T see how to prove this, maybe by induction on r ?
This was a fun problem. There may be a... | 4 | [
-0.0283203125,
0.030517578125,
-0.04052734375,
0.078125,
0.06982421875,
0.0322265625,
0.00982666015625,
0.0810546875,
-0.016357421875,
0.009521484375,
-0.0206298828125,
-0.0084228515625,
0.005859375,
0.058349609375,
-0.0247802734375,
-0.01434326171875,
-0.00982666015625,
-0.0139160... | 34,787 | 34787 | |
MathGroup Archive: April 2006 [00131]
[Date Index] [Thread Index] [Author Index]
Re: another problem with Infinite Products
• To: mathgroup at smc.vnet.net
• Subject: [mg65551] Re: another problem with Infinite Products
• From: Roger ... | 4 | [
-0.171875,
-0.0286865234375,
-0.044677734375,
-0.004974365234375,
-0.007659912109375,
0.06494140625,
0.0277099609375,
-0.01263427734375,
-0.038330078125,
0.029296875,
0.0167236328125,
0.0107421875,
-0.0283203125,
0.0157470703125,
-0.006927490234375,
0.054443359375,
-0.045166015625,
... | 34,788 | 34788 | |
Homework Help
Posted by Bonnie on Sunday, August 8, 2010 at 9:02pm.
Add.
3/w+4 + 4/5w
would the answer be 7/4+5w?
• Math - bobpursley, Sunday, August 8, 2010 at 9:04pm
No. What is the common denominator?
• Math - Timothy, Sunday, August 8, 2010 at 9:14pm
I think it would be 20 right?
• Math - jai,... | 4 | [
-0.033935546875,
0.0262451171875,
0.020751953125,
0.0927734375,
0.024658203125,
0.0069580078125,
-0.0264892578125,
-0.032470703125,
-0.0272216796875,
-0.0301513671875,
0.04150390625,
-0.02734375,
-0.0230712890625,
0.0625,
-0.042724609375,
0.08349609375,
-0.09228515625,
0.0517578125... | 34,789 | 34789 | |
Calc3 multivariable cylindrical coordinates!
November 1st 2012, 09:44 PM
tehfunkicookie
Calc3 multivariable cylindrical coordinates!
Calc3 multivariable cylindrical coordinates!
Integrate the function f(xhttps://instruct.math.lsa.umich.edu/...144/char3B.pngyhttps://instruct.math.lsa.umich.edu/...144/char3B.... | 5 | [
-0.018310546875,
0.028076171875,
-0.0654296875,
-0.111328125,
0.04541015625,
0.01953125,
0.0179443359375,
0.052734375,
0.010498046875,
0.01019287109375,
-0.018798828125,
0.0169677734375,
0.03857421875,
0.07470703125,
0.0244140625,
-0.058349609375,
-0.06787109375,
-0.030029296875,
... | 34,790 | 34790 | |
Previous
a) It is given:
CM = AB = m;
triangles ABC and A’B’C are similar; so, tangent A’B is parallel to the side AB.
Triangle ABC
b) According to the tangent property: the lengths of intersecting tangents from their intersecting points to their points of contact with the enclosed circle are alway... | 4 | [
-0.0128173828125,
0.0947265625,
-0.037841796875,
0.00885009765625,
0.00077056884765625,
0.0303955078125,
0.07373046875,
0.1328125,
-0.000732421875,
-0.0262451171875,
-0.0017547607421875,
-0.1435546875,
-0.0023345947265625,
0.004058837890625,
0.0927734375,
0.03857421875,
-0.0012359619... | 34,791 | 34791 | |
Lotter Winnings Present Value
October 14th 2009, 01:35 PM #1
Junior Member
Joined
Feb 2009
Posts
64
Lotter Winnings Present Value
Lottery winnings are divided into equal payments given annually. Present value of winnings is worth less then the actual jackpot. Find the present value in dollars using the g... | 5 | [
-0.00665283203125,
0.11572265625,
0.0201416015625,
-0.0478515625,
-0.12060546875,
-0.047119140625,
0.042236328125,
0.035888671875,
0.01348876953125,
0.03857421875,
-0.0380859375,
-0.021728515625,
0.1142578125,
0.00799560546875,
-0.05029296875,
0.0458984375,
-0.01446533203125,
-0.06... | 34,792 | 34792 | |
Latin American applied research
Servicios Personalizados
Articulo
Indicadores
Links relacionados
Bookmark
versión impresa ISSN 0327-0793
Lat. Am. appl. res. v.33 n.3 Bahía Blanca jul./sept. 2003
Superheated steam drying of parsley: a fixed bed model for predicting drying performance
M. A. Martinello^1, M. A.... | 4 | [
-0.060302734375,
-0.107421875,
-0.04345703125,
0.0277099609375,
0.04150390625,
-0.0341796875,
-0.048828125,
0.0228271484375,
0.017578125,
-0.029541015625,
-0.00396728515625,
0.005096435546875,
-0.010009765625,
-0.00054931640625,
-0.03076171875,
-0.10595703125,
0.048828125,
0.067871... | 34,793 | 34793 | |
Can you Check Over MY Work Please - Normal Distribution (Z-SCORE) Word Problem
April 4th 2013, 07:37 AM #1
Junior Member
Joined
Oct 2011
Posts
62
Thanks
2
The lifespan of lightbulbs in a photographic machine is normally distributed with a mean of 210 hours and a standard deviation of 50 hours.
... | 4 | [
0.01324462890625,
0.08837890625,
0.005401611328125,
0.0234375,
-0.00958251953125,
-0.0732421875,
-0.009033203125,
0.058837890625,
-0.0556640625,
0.05029296875,
0.07373046875,
-0.0196533203125,
0.1748046875,
0.0390625,
0.007781982421875,
-0.034423828125,
-0.04638671875,
-0.119628906... | 34,794 | 34794 | |
10th grade math
Posted by Nini on Monday, April 6, 2009 at 5:00pm.
Factor by Grouping. PLEASE SHOW ME THE STEPS!
1.) 6x2-21xy+8xz-28yz
just to make it clear,the 2 infront of -21
is actualli an Exponent 2.
2.) x2+5x+7x+35
• 10th grade math - Reiny, Monday, April 6, 2009 at 5:22pm
from now on, please use the... | 4 | [
-0.03564453125,
-0.005767822265625,
0.0177001953125,
0.0712890625,
0.037841796875,
0.060546875,
-0.0029296875,
-0.0546875,
-0.1650390625,
-0.0235595703125,
0.040283203125,
-0.0069580078125,
0.125,
0.03125,
0.035400390625,
0.0252685546875,
-0.1279296875,
0.0155029296875,
-0.099121... | 34,795 | 34795 | |
Trigonometry help, relatively basic, wanting to check answers.
July 27th 2012, 08:10 PM #1
Newbie
Joined
Jul 2012
From
America
Posts
3
Trigonometry help, relatively basic, wanting to check answers.
Hello everybody,
I am just wanting to check my answers to the following questions, and if i am wro... | 5 | [
-0.027587890625,
0.0306396484375,
0.01141357421875,
-0.049560546875,
-0.0849609375,
-0.059326171875,
0.0164794921875,
0.0703125,
0.11474609375,
0.04345703125,
0.059814453125,
-0.04296875,
0.0247802734375,
-0.0014190673828125,
0.10498046875,
-0.06689453125,
-0.02587890625,
-0.049316... | 34,796 | 34796 | |
Mandelbrot-Ljapunov
The mandelbrot set. I think I do not need to explain the definition of the mandelbrot set in detail, since it is such a well-known set.
The mandelbrot set is a part of the complex plane C. Let fc be... | 4 | [
0.0021209716796875,
-0.008544921875,
-0.0615234375,
-0.0302734375,
-0.0286865234375,
-0.03466796875,
0.0380859375,
0.056396484375,
0.00860595703125,
-0.06494140625,
0.068359375,
-0.06396484375,
0.07958984375,
0.0021209716796875,
-0.13671875,
-0.11328125,
-0.005279541015625,
-0.0563... | 34,797 | 34797 | |
Challenging multinomial theorem question?
February 13th 2009, 09:26 PM #1
Challenging multinomial theorem question?
If (1 + x + x^2 + x^3)^4n = ∑( r = 0 to 12n) ar. x^r, then find the value of ∑(r = 0 to 3n) a(4r).
(NOTE: In ar, r is a subscript.
In a(4r), 4r is a subscript.)
Answer: 2^(8n - 2)
... | 5 | [
-0.0361328125,
0.0185546875,
-0.007049560546875,
0.051025390625,
-0.0281982421875,
0.0634765625,
0.042236328125,
0.0054931640625,
0.04638671875,
-0.0078125,
-0.01202392578125,
-0.06201171875,
0.0220947265625,
-0.0322265625,
-0.0341796875,
0.03662109375,
-0.027587890625,
-0.02600097... | 34,798 | 34798 | |
the encyclopedic entry of precession equinoxes
Precession refers to a change in the direction of the axis of a rotating object. In physics, there are two types of precession, torque-free and torque-induced, the latter being discussed here in more
detail. In certain contexts, "precession" may refer to the precession tha... | 4 | [
-0.0308837890625,
0.01025390625,
0.05615234375,
-0.036376953125,
-0.0361328125,
0.030029296875,
-0.04736328125,
0.0002536773681640625,
0.1650390625,
0.0191650390625,
0.080078125,
0.08056640625,
-0.00830078125,
-0.08203125,
-0.0247802734375,
-0.040771484375,
-0.005523681640625,
0.02... | 34,799 | 34799 |