content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Physics Forums - View Single Post - An introduction to the analysis of statically indeterminate systems
It is assumed that the reader is familiar with the basic concepts of structural analysis. Further on, I am aware of the possible inconsistencies and errors in this writing, and hereby invite all who
have comments an... | 5 | [
-0.0546875,
0.015625,
-0.051513671875,
-0.040283203125,
-0.010009765625,
0.0264892578125,
-0.0189208984375,
0.0546875,
0.0223388671875,
0.0517578125,
0.06103515625,
-0.0133056640625,
0.08056640625,
-0.000030994415283203125,
-0.048828125,
0.035888671875,
-0.03369140625,
0.0060424804... | 16,600 | 16600 | |
Proof of Convergence
December 23rd 2013, 05:50 PM
Archie
Proof of Convergence
I have a sequence of real numbers for which I wish to prove convergence.
$s_{n+1} = \sqrt[3]{s_{n}^{2} + s_{n-1} + 2}$ and $0 < s_{0} < s_{1} < 2$
So, if the sequence $\{s_{n}\}$ converges to a limit $s$ then
$s^3 - s^2 - ... | 5 | [
-0.06884765625,
-0.0191650390625,
-0.02685546875,
-0.00982666015625,
-0.005126953125,
0.062255859375,
-0.078125,
0.045654296875,
0.0177001953125,
-0.0751953125,
0.015380859375,
0.0458984375,
0.06396484375,
-0.0252685546875,
-0.0322265625,
-0.087890625,
0.06103515625,
-0.02087402343... | 16,601 | 16601 | |
Numerical Investigation on Zonal Disintegration Mechanism around Deep Underground Openings
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 908028, 21 pages
http://dx.doi.org/10.1155/2013/908028
Research Article
Numerical Investigation on Zonal Disintegration Mechanism around Deep Underground Opening... | 4 | [
-0.09814453125,
0.034912109375,
0.072265625,
-0.018798828125,
0.0140380859375,
-0.1357421875,
-0.0361328125,
0.048583984375,
-0.091796875,
0.01068115234375,
-0.1025390625,
-0.01708984375,
0.0810546875,
-0.017578125,
-0.04638671875,
0.028564453125,
-0.0439453125,
-0.020263671875,
... | 16,602 | 16602 | |
Summary: 1. GĻodel's Theorem.
1.1. -consistency.
Definition 1.1. We say formal number theory (FNT) is -consistent if whenever
A is a statement, x free(A) and
Axk for all k N
it is not the case that
x A.
Mendelson remarks after this definition on page 142 of Mendelson that we accept
that the standard interpretation as a... | 4 | [
-0.06494140625,
-0.060302734375,
-0.060302734375,
-0.027587890625,
0.0179443359375,
0.017822265625,
0.053466796875,
-0.042724609375,
0.025146484375,
-0.0556640625,
0.01318359375,
0.00579833984375,
0.0133056640625,
0.01025390625,
-0.0211181640625,
-0.058349609375,
-0.049072265625,
-... | 16,603 | 16603 | |
Solving for 2 systems at once
April 5th 2011, 06:26 AM
DrZ
Solving for 2 systems at once
I dont think I understand what this question is asking, if someone could explain what it means with its explanation it would help a lot.
solve the 2 systems
x1 + 2x2 - 2x3 =1 x1 + 2x2 - 2x3 = 9
2x1 + 5x2 +x3 = ... | 4 | [
-0.06201171875,
-0.052978515625,
-0.0301513671875,
-0.007537841796875,
0.08544921875,
-0.0634765625,
-0.006500244140625,
-0.036865234375,
-0.0546875,
-0.0113525390625,
0.048095703125,
-0.01287841796875,
0.06982421875,
-0.1279296875,
-0.06689453125,
0.04248046875,
-0.08984375,
-0.01... | 16,604 | 16604 | |
How to Calculate Marginal Utility | The Classroom | Synonym
Calculating marginal utility is an important skill in economics. Marginal utility is the utility a person gains or loses by increasing or decreasing the amount of a specific good or service. A
utility function can be used to describe the relationship between t... | 5 | [
0.048095703125,
-0.0478515625,
-0.051025390625,
-0.019775390625,
-0.045654296875,
0.015625,
0.0191650390625,
0.0177001953125,
0.049072265625,
0.050537109375,
0.08349609375,
0.01275634765625,
0.06591796875,
0.09912109375,
-0.00482177734375,
0.0341796875,
0.052734375,
0.08984375,
-... | 16,605 | 16605 | |
Polynomial Approximation Problem
December 2nd 2010, 08:53 AM #1
Junior Member
Joined
Nov 2009
From
Pocatello, ID
Posts
59
Polynomial Approximation Problem
Suppose that $f:\mathbb{R}\longrightarrow\mathbb{R}$ is of class $C^2$. Given $b>0$ and a positive number $\epsilon$, show that there exists a pol... | 4 | [
-0.005126953125,
0.06298828125,
0.0771484375,
0.01556396484375,
-0.0284423828125,
0.09228515625,
0.05810546875,
0.0703125,
0.013916015625,
-0.033447265625,
-0.0030517578125,
0.03125,
0.060302734375,
-0.01507568359375,
-0.00156402587890625,
0.041259765625,
0.0208740234375,
-0.058105... | 16,606 | 16606 | |
Need help finding permutation matrix
1. The problem statement, all variables and given/known data
What is the permutation matrix associated to the permutation of [itex]n[/itex] indices defined by [itex]p(i) = n - i + 1[/itex]? What is the cycle decomposition of [itex]p[/itex]? What is it's sign?
2. Relevant equations
... | 4 | [
-0.03271484375,
0.0172119140625,
0.014892578125,
-0.043212890625,
0.0260009765625,
0.0301513671875,
0.09033203125,
-0.0322265625,
0.017822265625,
-0.022216796875,
-0.01531982421875,
0.08544921875,
0.0013427734375,
0.017822265625,
-0.0380859375,
0.018310546875,
-0.022705078125,
-0.0... | 16,607 | 16607 | |
Find the probability density function
March 16th 2013, 01:37 PM #1
Find the probability density function
A point Q is chosen in the unit square. What is the density function of the sum of the coordinates? Of the product of the coordinates?
Work-
Let X be a r.v. on (0,1) and let Y be a r.v. on (0,1). Thes... | 5 | [
-0.01312255859375,
0.052978515625,
0.0196533203125,
-0.0419921875,
-0.026123046875,
0.06982421875,
0.08154296875,
-0.05419921875,
0.016845703125,
-0.0111083984375,
-0.0810546875,
0.01904296875,
0.0693359375,
0.109375,
-0.023681640625,
-0.0301513671875,
0.013671875,
-0.044677734375,... | 16,608 | 16608 | |
Finding Velocity with Respect to Time (IS FRUSTRATINLGY HARD)
August 27th 2007, 09:24 PM #1
Newbie
Joined
Aug 2007
Posts
8
hey this is a question i have for Year 12 Maths C in Australia. It is irritating me no end. <line of text deleted by CaptainBlack>
here we go...
A particle of mass one unit m... | 5 | [
-0.059326171875,
0.07958984375,
0.0228271484375,
0.0361328125,
0.01373291015625,
0.02587890625,
-0.003936767578125,
-0.045166015625,
0.0419921875,
0.0673828125,
0.09375,
0.00095367431640625,
-0.041015625,
0.06640625,
-0.04248046875,
-0.022216796875,
0.0196533203125,
-0.042236328125... | 16,609 | 16609 | |
Physics Forums - View Single Post - Christoffel symbol as tensor
Sci Advisor
HW Helper
PF Gold
P: 4,119
Here's a quote from Wald. I have highlighted what I think are the important parts.
From Wald, p. 33.
Thus, we have shown that [itex]\tilde\nabla_a - \nabla_a [/itex] defines a map of dual vectors at p (as op... | 4 | [
-0.041015625,
-0.005767822265625,
0.07080078125,
-0.04736328125,
-0.00188446044921875,
0.08251953125,
0.04443359375,
0.0012969970703125,
-0.0111083984375,
-0.046142578125,
-0.019287109375,
-0.0308837890625,
-0.138671875,
-0.004119873046875,
0.052978515625,
0.062255859375,
-0.08300781... | 16,610 | 16610 | |
Integration Question
Is it fair to say that or am i wrong? not sure can someone verify please $-\frac{5}{2}\int_{}^{t}\frac{dt}{3(t^2+a^2+at)} = -\frac{5}{2}ln|3(t^2+a^2+at)|$
Ok so it probably won't work as differentiating the equation does not return me back to my integral. I'm not sure on how you integrate fraction... | 5 | [
-0.030029296875,
-0.044189453125,
0.0419921875,
-0.04931640625,
0.031005859375,
0.0164794921875,
-0.030517578125,
-0.068359375,
0.0206298828125,
0.0498046875,
0.1123046875,
-0.0693359375,
-0.0257568359375,
0.02392578125,
-0.04150390625,
0.006195068359375,
0.051025390625,
0.05908203... | 16,611 | 16611 | |
University Maths question
May 14th 2012, 02:32 PM #1
Newbie
Joined
May 2012
From
Nottingham
Posts
2
University Maths question
Can anyone help me out with this badboy?
Find a method for converting a repeating expansion (with any period
t and any numbers of non-repeating digits between t... | 4 | [
-0.0020599365234375,
0.02685546875,
0.004364013671875,
-0.08544921875,
-0.026611328125,
0.024658203125,
0.0361328125,
0.0703125,
-0.09521484375,
-0.0125732421875,
-0.01519775390625,
-0.0281982421875,
0.059326171875,
0.04052734375,
0.03662109375,
-0.0162353515625,
-0.107421875,
0.06... | 16,612 | 16612 | |
Intersection of two functions
HallsofIvy
One way to answer that is to look at the limit of 2^x/x^12 as x goes to infinity. Since that fraction itself becomes "infinity over infinity" we can apply L'Hopital's rule. Repeatedly
differentiating, the numerator just stays 2^x (times a power of ln(2)) while the denominator... | 5 | [
0.046875,
-0.048828125,
-0.046875,
0.004638671875,
0.05908203125,
-0.0986328125,
-0.019287109375,
0.0284423828125,
0.00732421875,
0.0118408203125,
0.0208740234375,
0.058349609375,
0.0130615234375,
-0.0033111572265625,
0.02587890625,
0.0174560546875,
-0.0400390625,
-0.021728515625,
... | 16,613 | 16613 | |
quick question about inductive proof
October 16th 2009, 06:26 PM #1
Member
Joined
Sep 2009
Posts
129
quick question about inductive proof
Prove that: $3^n < n!$ n is an integer greater than 6.
Basic step:
$P(7): 3^7 < 7!$
2187 < 5040
Inductive Steps:
hypothesis: $P(k): 3^k < k!$
... | 4 | [
-0.042724609375,
-0.051025390625,
-0.072265625,
-0.0166015625,
-0.02587890625,
0.002471923828125,
-0.0172119140625,
-0.02685546875,
0.059814453125,
0.0947265625,
-0.09228515625,
-0.03173828125,
0.030029296875,
0.000926971435546875,
0.06005859375,
-0.008056640625,
-0.08837890625,
0.... | 16,614 | 16614 | |
First-Order Light Deflection by Einstein-Strauss Vacuole Method
Journal of Gravity
Volume 2013 (2013), Article ID 686950, 4 pages
http://dx.doi.org/10.1155/2013/686950
Research Article
First-Order Light Deflection by Einstein-Strauss Vacuole Method
^1Department of Mathematics, University of North Bengal, Siliguri 73... | 4 | [
-0.1083984375,
-0.10595703125,
0.03662109375,
0.07080078125,
0.0120849609375,
-0.04150390625,
0.0062255859375,
-0.01507568359375,
0.017333984375,
-0.033447265625,
0.0732421875,
-0.004241943359375,
-0.09033203125,
0.006195068359375,
0.0023345947265625,
-0.0634765625,
-0.0135498046875,... | 16,615 | 16615 | |
Physics Forums - Simple Harmonic Motion with Cylinder Attached to Spring
Simple Harmonic Motion with Cylinder Attached to Spring
1. The problem statement, all variables and given/known data
Okay, so we've got a solid cylinder attached to a horizontal massless spring that rolls without slipping along a horizontal s... | 4 | [
-0.058349609375,
0.0830078125,
0.00518798828125,
-0.06494140625,
0.0174560546875,
0.06884765625,
0.0264892578125,
0.047607421875,
0.03955078125,
0.019287109375,
0.060302734375,
-0.0498046875,
0.039794921875,
-0.056884765625,
0.0272216796875,
0.0361328125,
-0.05029296875,
0.06787109... | 16,616 | 16616 | |
finding trignometric derivatives
October 5th 2008, 10:15 AM
omgeezy
finding trignometric derivatives
so I did some steps for this problem and got stuck halfway down, please help
find dy/dx
y=1+x-cos(x)
-------------------------
ok so I got confused with the Pythagorean trig identities and 1 - co... | 5 | [
-0.042724609375,
-0.0205078125,
0.0115966796875,
0.0107421875,
-0.0257568359375,
-0.0096435546875,
0.0029449462890625,
0.006805419921875,
-0.009033203125,
0.058349609375,
0.09619140625,
-0.057861328125,
0.06591796875,
-0.0191650390625,
0.01116943359375,
-0.006866455078125,
0.00732421... | 16,617 | 16617 | |
Find shortest time to travel
May 22nd 2012, 05:44 PM #1
Junior Member
Joined
Aug 2011
Posts
38
Thanks
1
Find shortest time to travel
Firstly, apologies for the hard-to-see image. It's just for an outline of the problem.
The questions asks to find the value of x (on the right vertical side) to fi... | 4 | [
0.1103515625,
0.048828125,
0.01141357421875,
0.022705078125,
0.049072265625,
-0.0179443359375,
-0.041015625,
0.061767578125,
-0.01007080078125,
0.0179443359375,
0.0284423828125,
-0.042724609375,
0.0024871826171875,
0.037841796875,
0.0032196044921875,
0.09423828125,
-0.042236328125,
... | 16,618 | 16618 | |
Reinforcing the power of predictive FIP
In October, I introduced a metric called Predictive FIP (or pFIP for short). This metric is a slightly modified version of Tom Tango’s commonly used fielding independent pitching (FIP) statistic.
Tango’s version of FIP is meant to describe a pitcher’s performance in terms of the... | 4 | [
-0.064453125,
0.02880859375,
-0.055908203125,
0.047119140625,
0.040771484375,
0.0732421875,
-0.06884765625,
0.107421875,
0.068359375,
0.07861328125,
-0.0654296875,
-0.042236328125,
-0.0830078125,
0.06591796875,
0.0034942626953125,
-0.0252685546875,
0.007293701171875,
0.014038085937... | 16,619 | 16619 | |
How to show that it's equal (Intergral)
August 16th 2008, 05:59 PM #1
Junior Member
Joined
Aug 2008
Posts
35
Given that m and n are positive integers, show that
int [from 0 to 1] (x^m)(1-x)^n dx = int [from 0 to 1] (x^n)(1-x)^m dx
There are numerous approaches to show that each integral is equal... | 5 | [
0.04052734375,
-0.0086669921875,
0.0247802734375,
0.02978515625,
-0.0341796875,
-0.03369140625,
0.0634765625,
0.0091552734375,
-0.0252685546875,
0.00677490234375,
-0.10595703125,
0.0228271484375,
0.0654296875,
-0.0245361328125,
-0.031005859375,
0.03564453125,
0.0218505859375,
0.000... | 16,620 | 16620 | |
Given a minimal polynomial, find a transformation
December 30th 2009, 05:49 AM #1
Junior Member
Joined
Dec 2009
Posts
32
Given a minimal polynomial, find a transformation
Hello!
Could you help me with the last part of this question?:
Let V be a vector space over C, and let T:V->V be a linear tr... | 5 | [
-0.022216796875,
0.11279296875,
0.00390625,
0.02734375,
0.046630859375,
0.036865234375,
-0.00933837890625,
0.0225830078125,
-0.01708984375,
-0.060546875,
0.09375,
-0.064453125,
0.02587890625,
-0.000518798828125,
-0.08642578125,
0.0206298828125,
-0.048583984375,
0.05126953125,
-0.... | 16,621 | 16621 | |
Four trigonometric integrals.
March 8th 2009, 09:16 AM #1
Junior Member
Joined
Oct 2008
Posts
41
Four trigonometric integrals.
Hello! I'm having some troubles solving this integrals so your help would be much appreciated.
1. $\int \frac{dx}{tan^8x}$
2. $\int \frac{dx}{\sqrt[4]{sin^3xcos^5x}}$
... | 5 | [
-0.0634765625,
0.06982421875,
0.09765625,
0.0029449462890625,
-0.01080322265625,
-0.01092529296875,
-0.023681640625,
-0.00811767578125,
0.01336669921875,
0.023193359375,
-0.006072998046875,
-0.01953125,
-0.046630859375,
-0.0069580078125,
-0.0126953125,
-0.00543212890625,
0.0393066406... | 16,622 | 16622 | |
Determining a basis
snoggerT
Determine all values of the constant (alpha) for which
{1+(alpha)*x^2, 1+x+x^2, 2 +x} is a basis for P2
3. The attempt at a solution
once again I'm not real sure how to solve this problem. Would I set it up as a system of linear equations? How do you start a problem like this?
You ... | 5 | [
0.00701904296875,
-0.01177978515625,
-0.01416015625,
-0.00897216796875,
0.039794921875,
0.040283203125,
0.10498046875,
-0.0283203125,
-0.033935546875,
-0.0247802734375,
-0.02734375,
-0.0206298828125,
-0.026123046875,
-0.006622314453125,
-0.06494140625,
-0.047119140625,
-0.07080078125... | 16,623 | 16623 | |
Proving a factor correct
January 24th 2008, 06:48 PM #1
Newbie
Joined
Jan 2008
Posts
2
Proving a factor correct
Hello,
I am a grade 12 functions student with an exam tomorrow morning. I was doing one last review and a question has me stumped. I would really appreciate someone's help.
This is wh... | 4 | [
0.0751953125,
0.04248046875,
0.01300048828125,
0.044921875,
0.00714111328125,
0.05615234375,
-0.0274658203125,
0.0172119140625,
-0.032958984375,
0.0130615234375,
0.080078125,
0.02099609375,
-0.01025390625,
0.115234375,
0.044677734375,
0.115234375,
-0.02880859375,
0.0003585815429687... | 16,624 | 16624 | |
Square Roots of Negative Numbers & Graphing of Same
April 16th 2010, 08:00 PM #1
1. At present I am working with Imag. and Complex Numbers. I want to determine the square roots of the first 100 negaive numbers. So far have done first 20. Would someone "in the know" please
check and make sure I have them done c... | 4 | [
-0.061767578125,
0.034423828125,
0.035400390625,
-0.005218505859375,
-0.09814453125,
-0.08154296875,
0.0045166015625,
0.1259765625,
0.0159912109375,
-0.0272216796875,
0.11083984375,
-0.01080322265625,
0.038818359375,
0.123046875,
-0.04638671875,
-0.032958984375,
-0.0257568359375,
-... | 16,625 | 16625 | |
Compound Interest question
June 4th 2009, 04:13 PM
Harryhit4
Compound Interest question
I am having trouble figuring this problem out; it's confusing me. I appreciate the help (Happy)
After 18 years of interest compounded continuously, you have $60,000. What is your principle amount?
I'm not sure how t... | 4 | [
-0.01446533203125,
0.1181640625,
-0.04052734375,
0.033203125,
-0.038330078125,
-0.032958984375,
-0.005157470703125,
0.08984375,
0.002593994140625,
0.09326171875,
0.07275390625,
-0.039306640625,
-0.01202392578125,
0.03515625,
0.033935546875,
-0.00080108642578125,
-0.11962890625,
-0.... | 16,626 | 16626 | |
Probability Random Variables Double Check Please
July 31st 2009, 08:28 PM #1
Newbie
Joined
Jul 2009
Posts
8
Probability Random Variables Double Check Please
A small business just leased a new computer and color laser printer for three years. The service contract for the computer offers unlimited repairs ... | 4 | [
0.016357421875,
0.0252685546875,
0.09521484375,
-0.046875,
-0.0654296875,
-0.0272216796875,
0.057861328125,
0.0283203125,
-0.057861328125,
0.07958984375,
0.0673828125,
0.0093994140625,
0.08935546875,
-0.009765625,
-0.0027618408203125,
0.06103515625,
-0.04833984375,
-0.08203125,
-... | 16,627 | 16627 | |
Herstein's matrix proof
November 15th 2011, 04:36 PM #1
Junior Member
Joined
Oct 2011
Posts
28
Herstein's abstract algebra: Chapter 4 section 3 number 19
If R = {( a b ) | a, b, c real} and I = {( 0 b ) | b real }
.........{( 0 c ) |.................}..............{( 0 0 ) |...........}
valu... | 5 | [
-0.039306640625,
0.072265625,
-0.11767578125,
0.0211181640625,
-0.02001953125,
0.0238037109375,
0.04931640625,
-0.00531005859375,
-0.009521484375,
-0.046630859375,
-0.072265625,
-0.057861328125,
0.0245361328125,
0.0294189453125,
-0.014404296875,
0.0126953125,
-0.007293701171875,
0.... | 16,628 | 16628 | |
Surface area and volume?
June 30th 2009, 11:37 PM
maltaman
Surface area and volume?
How do you find the dimensions for cylinder that, given an area, has the least volume but the most surface area? Is there a plugin formula? Could you give me, say, an example such as the volume =
1L? (The 1 litre is not the a... | 5 | [
0.0294189453125,
0.038818359375,
0.02099609375,
-0.004547119140625,
-0.0159912109375,
0.006988525390625,
-0.031494140625,
0.09130859375,
-0.0113525390625,
-0.02734375,
-0.0546875,
-0.050048828125,
0.09423828125,
0.115234375,
-0.02880859375,
-0.0277099609375,
-0.045166015625,
0.0061... | 16,629 | 16629 | |
Prove a convex function is continuous
September 9th 2011, 05:59 AM #1
Member
Joined
Oct 2009
Posts
195
Prove a convex function is continuous
I need to prove that a real valued convex function on R is continuous. I'm thinking this is only a special case and may not be the right way to attack the problem:
... | 4 | [
0.00372314453125,
-0.0115966796875,
-0.02490234375,
-0.034912109375,
-0.022216796875,
0.09521484375,
0.12353515625,
0.02734375,
-0.03466796875,
0.0291748046875,
-0.046142578125,
0.03564453125,
0.030029296875,
0.0537109375,
0.046875,
0.02734375,
0.01324462890625,
-0.07421875,
-0.0... | 16,630 | 16630 | |
Patent US5377229 - Multi-modulation scheme compatible radio
TECHNICAL FIELD
This invention relates generally to modulation techniques, including but not limited to constant envelope modulation techniques and non-constant envelope modulation techniques, and transmitters and
receivers suitable for use therewith.
BACKGR... | 4 | [
-0.0038299560546875,
0.09912109375,
-0.09130859375,
-0.0223388671875,
-0.0625,
0.0181884765625,
-0.0174560546875,
0.0235595703125,
0.001708984375,
0.0032196044921875,
-0.06298828125,
-0.05859375,
0.06201171875,
0.0028839111328125,
0.0322265625,
-0.0177001953125,
-0.00823974609375,
... | 16,631 | 16631 | |
Hypothesis Testing
December 28th 2010, 07:48 PM
pickslides
Hypothesis Testing
Testing Statistical Significance - Hypothesis Tests
In basic terms statistics can be broken up into two categories being either descriptive or inferential.
Descriptive statistics are often used to describe either the spread ... | 5 | [
0.060302734375,
0.025390625,
0.014892578125,
0.0262451171875,
0.0013580322265625,
0.0306396484375,
-0.029296875,
0.11962890625,
0.0810546875,
0.130859375,
0.0125732421875,
-0.056884765625,
0.021484375,
-0.0123291015625,
0.04345703125,
-0.0888671875,
0.038818359375,
-0.04541015625,
... | 16,632 | 16632 | |
Inequality problems
February 26th 2008, 05:39 PM
Girlaaaaaaaa
Inequality problems
I have a question on what I did wrong
The first problem:
1. was to solve the inequality x^2+6x-27<0. The solution is x is in the open interval (A, B) where A is:___ and B is:___
for that i did (x-9)(x+3) so i thought th... | 4 | [
-0.0712890625,
0.0184326171875,
0.00860595703125,
-0.06787109375,
-0.0184326171875,
0.06494140625,
-0.0390625,
0.03662109375,
-0.0289306640625,
-0.00390625,
0.05126953125,
-0.0017242431640625,
0.05224609375,
-0.033447265625,
0.051513671875,
0.01025390625,
0.00170135498046875,
-0.09... | 16,633 | 16633 | |
Volumes: The Disk Method
November 9th 2008, 10:59 AM #1
Junior Member
Joined
Oct 2008
Posts
38
Volumes: The Disk Method
1. If the area bounded by the parabola y = H - (H/R^2)x^2 and the x-axis is revolved about the y-axis, the resulting bullet-shaped solid is a segment of a paraboloid of revolution with ... | 4 | [
0.0283203125,
0.0751953125,
-0.0201416015625,
-0.064453125,
0.039306640625,
-0.06787109375,
-0.072265625,
0.10693359375,
-0.04833984375,
-0.03662109375,
-0.01287841796875,
0.048828125,
0.0498046875,
0.05615234375,
0.00244140625,
-0.05419921875,
0.01092529296875,
-0.023681640625,
... | 16,634 | 16634 | |
Solve x (tan sec and cosec)
June 19th 2007, 11:38 PM #1
Newbie
Joined
May 2007
Posts
10
Solve x (tan sec and cosec)
Please help me to solve x , 0 <= x <= 360, where
3 tan x - 2 + 3 sec x = 2 cosec x
Thank you
$3 tan(x) - 2 + 3 sec(x) = 2 csc(x)$
$3 \frac{sin(x)}{cos(x)} - 2 + 3 \frac{... | 4 | [
-0.08837890625,
-0.0712890625,
-0.02294921875,
0.0625,
0.01141357421875,
0.05419921875,
-0.04443359375,
-0.0228271484375,
0.0419921875,
-0.01251220703125,
0.037109375,
-0.10107421875,
0.047119140625,
-0.0478515625,
0.031982421875,
-0.06494140625,
0.045654296875,
0.00482177734375,
... | 16,635 | 16635 | |
Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 634927, 15 pages
http://dx.doi.org/10.1155/2012/634927
Research Article
Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities
^1Department of Mathematics, Tianji... | 5 | [
-0.0012359619140625,
0.03369140625,
0.006378173828125,
-0.080078125,
-0.01470947265625,
0.0262451171875,
0.039794921875,
-0.032470703125,
-0.034423828125,
-0.0244140625,
-0.02734375,
-0.032958984375,
0.043212890625,
-0.01806640625,
0.00689697265625,
0.02685546875,
0.09423828125,
-0... | 16,636 | 16636 | |
Clarifying Cutting and Sewing Processes with Due Windows Using an Effective Ant Colony Optimization
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 182598, 12 pages
http://dx.doi.org/10.1155/2013/182598
Research Article
Clarifying Cutting and Sewing Processes with Due Windows Using an Effective An... | 4 | [
-0.04052734375,
0.07666015625,
0.0076904296875,
-0.01348876953125,
-0.056396484375,
-0.061279296875,
-0.01214599609375,
-0.04345703125,
-0.06689453125,
0.13671875,
-0.034423828125,
-0.0021820068359375,
-0.03271484375,
0.03466796875,
-0.01116943359375,
0.0023956298828125,
-0.020385742... | 16,637 | 16637 | |
Patent US4466054 - Improved proportional integral-derivative control apparatus
Publication number US4466054 A
Publication type Grant
Application number US 06/381,445
Publication date Aug 14, 1984
Filing date May 24, 1982
Priority date Jun 1, 1981
Fee status Lapsed
Also published as DE32... | 4 | [
-0.10546875,
-0.07763671875,
-0.055419921875,
-0.0595703125,
-0.00147247314453125,
0.03515625,
-0.0038909912109375,
0.11376953125,
0.07568359375,
0.095703125,
0.017822265625,
0.10107421875,
0.04638671875,
-0.041748046875,
-0.03955078125,
-0.01422119140625,
0.095703125,
0.0693359375... | 16,638 | 16638 | |
finding the terms of a geometric progression
April 1st 2012, 08:55 AM
pranay
finding the terms of a geometric progression
Hi,if we are given two equidistant terms of a geometric progression and also the sum of its terms , then how can we find the actual terms of the G.P? e.g if we are given the 3rd and last term... | 4 | [
-0.036865234375,
-0.00144195556640625,
-0.01708984375,
-0.0703125,
-0.0732421875,
0.04443359375,
0.0142822265625,
0.058837890625,
-0.01165771484375,
0.0390625,
-0.0059814453125,
0.083984375,
-0.0291748046875,
0.03369140625,
0.0167236328125,
-0.007598876953125,
-0.0869140625,
0.0291... | 16,639 | 16639 | |
Factoring and rationalizing
February 9th 2013, 09:09 PM #1
Junior Member
Joined
Sep 2012
From
canada
Posts
45
Factoring and rationalizing
1/ sqroot(x) - 1/2 / x-4
I first simplified by multiplying by 2sqroot(x) = 2-sqroot(x) / (x-4) (2sqroot(x)) than i was going to rationalize the numerator by ... | 4 | [
0.05712890625,
-0.042236328125,
0.04296875,
0.016357421875,
-0.00127410888671875,
-0.00738525390625,
-0.05224609375,
0.00848388671875,
-0.0162353515625,
-0.007568359375,
0.0184326171875,
-0.044921875,
0.054931640625,
0.09521484375,
-0.0223388671875,
0.08349609375,
0.027099609375,
-... | 16,640 | 16640 | |
How to solve this inequality?
September 16th 2009, 10:33 PM
AlphaRock
How to solve this inequality?
abs((2x-1)/(x-1)) = 3.
I'm trying to figure out what to do and how to finish it since the absolute value is around both (2x+1) and (x-1).
September 17th 2009, 04:28 AM
masters
Quote:
Hi AlphaRock... | 4 | [
-0.091796875,
-0.0810546875,
0.03271484375,
-0.04052734375,
0.043212890625,
-0.041748046875,
-0.040283203125,
0.03564453125,
-0.061767578125,
-0.0206298828125,
0.031494140625,
-0.0927734375,
0.10693359375,
-0.011962890625,
-0.04638671875,
0.04052734375,
0.044921875,
-0.0634765625,
... | 16,641 | 16641 | |
Math Help
December 15th 2011, 01:04 AM #1
Junior Member
Joined
Dec 2011
Posts
57
Thanks
1
lim sup
Let $(x_n)$ be a bounded sequence. For each $n \in \mathbb{N}$ , let $y_n=x_{2n}$ and $z_n=x_{2n-1}$. Prove that
$\limsup{x_n}=\max({\limsup{y_n},\limsup{z_n}})$.
I tried using the identity $\m... | 4 | [
-0.06640625,
-0.06884765625,
0.035888671875,
-0.0703125,
0.033447265625,
0.02197265625,
-0.02197265625,
0.044189453125,
-0.10986328125,
-0.10546875,
-0.04345703125,
0.040283203125,
-0.006805419921875,
0.08154296875,
0.005096435546875,
0.0693359375,
0.07080078125,
-0.0234375,
0.01... | 16,642 | 16642 | |
trigonometry
October 30th 2008, 06:32 AM #1
Newbie
Joined
Oct 2008
Posts
1
trigonometry
cosa-sina=0
or
cosa+sina=1
how to find a?
the only why which i came out with is to square, but i think if i do so i'll lose (not always but sometimes) several meanings of a..
i hope you understood... | 4 | [
-0.087890625,
0.039794921875,
-0.042724609375,
0.0634765625,
-0.059814453125,
-0.00165557861328125,
-0.0220947265625,
-0.046142578125,
0.11279296875,
0.0556640625,
0.1083984375,
-0.078125,
-0.02783203125,
0.10302734375,
0.0216064453125,
-0.048828125,
-0.060302734375,
-0.01428222656... | 16,643 | 16643 | |
Solving a difficult n-th root equation
September 29th 2009, 07:59 AM #1
Junior Member
Joined
May 2008
Posts
42
Solving a difficult n-th root equation
How can I solve for n for something of this form?
(1.14)^(1/n) - 1 = 0.13/n
I managed to arrive at this:
n[(1.14)^(1/n) -1] = 0.13
But I... | 4 | [
-0.03515625,
-0.00933837890625,
0.01019287109375,
0.07373046875,
-0.07861328125,
-0.0888671875,
-0.10302734375,
0.07763671875,
0.01446533203125,
0.02001953125,
0.000736236572265625,
-0.0556640625,
0.007476806640625,
0.09228515625,
-0.051025390625,
-0.00897216796875,
-0.045166015625,
... | 16,644 | 16644 | |
Prime numbers
If the numbers p, p+2 and p+4 are primes, find p.
Hello,- Any integer can be written in the form 3k,3k+1 or 3k+2, for some integer $k \geq 0$ - Among these three possibilities, only 3k+1 and 3k+2 can be primes and 3 is a prime. Now if $p=3k+1$ ${\
color{red}p+2=3k+3=3(k+1)}$ $p+4=3k+4$ p+2 is prime if an... | 4 | [
-0.00634765625,
0.030029296875,
-0.01318359375,
-0.041015625,
0.0242919921875,
0.050048828125,
0.1103515625,
0.037353515625,
-0.0150146484375,
0.01177978515625,
-0.07177734375,
0.0244140625,
0.046142578125,
-0.0040283203125,
-0.022705078125,
-0.1279296875,
-0.01519775390625,
0.0233... | 16,645 | 16645 | |
finding a constant for t distribution
November 26th 2009, 06:57 PM #1
Newbie
Joined
Oct 2009
Posts
18
finding a constant for t distribution
I have a homework problem asking me to find the constant c that will make the statistic have a t-distribution. The rv X1...X5 are iid with a standard normal distribu... | 5 | [
-0.037353515625,
-0.0203857421875,
0.06396484375,
-0.04638671875,
0.01611328125,
0.000667572021484375,
-0.01153564453125,
-0.041259765625,
-0.003997802734375,
0.0966796875,
0.08349609375,
-0.06591796875,
-0.01458740234375,
-0.0223388671875,
-0.03369140625,
0.023193359375,
0.011047363... | 16,646 | 16646 | |
Math Help
February 24th 2011, 05:55 AM #1
Newbie
Joined
Nov 2010
Posts
3
The sum of n terms of the sequence 1,8,27,64,125,216.... is ________? Please, provide the explanation as well on how you arrived on the result. I know the answer is {n^2x(n+1)^2}/4 but, I simply
can't figure out how it came. Any... | 4 | [
-0.06396484375,
0.0986328125,
0.02294921875,
0.01068115234375,
-0.047119140625,
0.04638671875,
-0.0546875,
0.0074462890625,
0.0289306640625,
-0.0546875,
-0.08154296875,
0.006927490234375,
0.0191650390625,
-0.0289306640625,
-0.062255859375,
-0.0703125,
0.053955078125,
-0.08447265625... | 16,647 | 16647 | |
Patent US7479911 - Multiple input multiple output analog-to-digital converter
CROSS-REFERENCE TO RELATED APPLICATIONS
This application claims the benefit of U.S. Provisional Application No. 60/840,054, filed on Aug. 24, 2006. The disclosure(s) of the above application(s) is (are) incorporated herein by reference.
FIE... | 4 | [
-0.0419921875,
-0.01953125,
-0.003936767578125,
-0.0947265625,
-0.06396484375,
-0.00872802734375,
0.057861328125,
0.000054836273193359375,
0.01470947265625,
0.057861328125,
-0.059814453125,
-0.07568359375,
-0.0498046875,
0.02685546875,
-0.0888671875,
0.0220947265625,
0.02294921875,
... | 16,648 | 16648 | |
Hello :) I'm having a problem with this one story problem (Algebra and Trig)
March 20th 2012, 07:43 AM
brn107
Hello :) I'm having a problem with this one story problem (Algebra and Trig)
this is supposed to be Law of Sines and Law of Cosines (round to 1 decimal)
Assume that the earth is a sphere of radius 3... | 4 | [
0.0084228515625,
0.058349609375,
-0.03369140625,
-0.05712890625,
0.05859375,
-0.01611328125,
-0.03125,
0.06787109375,
0.01312255859375,
0.07421875,
0.037353515625,
-0.038818359375,
0.0250244140625,
-0.0002956390380859375,
0.037841796875,
-0.032470703125,
-0.033203125,
-0.0126953125... | 16,649 | 16649 | |
Math Help
Hi there, I need help with proving "weak induction--->string induction" using weak induction Where to start?
Weak induction for natural numbers: P(0) -> ∀x (P(x) -> P(x+1)) -> ∀x P(x). Strong induction for natural numbers: ∀x ((∀y < x Q(y)) -> Q(x)) -> ∀x Q(x). To prove strong induction for a given property... | 4 | [
-0.01043701171875,
0.0289306640625,
0.05908203125,
-0.004425048828125,
0.0184326171875,
0.038330078125,
-0.034912109375,
0.006622314453125,
0.03759765625,
0.00836181640625,
-0.1015625,
0.0439453125,
0.08349609375,
0.008544921875,
0.044677734375,
0.11962890625,
0.03173828125,
0.0559... | 16,650 | 16650 | |
Differential equations help , rate of change
June 16th 2010, 11:44 AM #1
Super Member
Joined
Sep 2008
Posts
607
Differential equations help , rate of change
A mathematician is selling goods at a car boot sale. She believes that the rate at
which she makes sales depends on the length of time since the... | 5 | [
-0.06640625,
0.017578125,
0.1201171875,
-0.044921875,
-0.00482177734375,
-0.021240234375,
0.00390625,
0.050048828125,
0.0233154296875,
0.06298828125,
0.05126953125,
-0.061279296875,
0.031982421875,
0.041748046875,
-0.064453125,
0.00927734375,
-0.0255126953125,
-0.00408935546875,
... | 16,651 | 16651 | |
Find the intervals and extreme values
June 20th 2010, 03:03 PM #1
Member
Joined
Sep 2007
Posts
86
Here's the question:
Function (X+2) e^ -3X. Find intervals where it is increasing and decreasing. Find the extreme values and indicate the max or min.
Here is my best attempt at this problem:
Y=... | 4 | [
-0.034423828125,
-0.033447265625,
0.0223388671875,
-0.06689453125,
0.006591796875,
0.0128173828125,
-0.04345703125,
0.061767578125,
-0.0252685546875,
-0.0228271484375,
0.078125,
-0.10546875,
0.06298828125,
-0.032470703125,
0.054443359375,
-0.030517578125,
-0.00982666015625,
0.01141... | 16,652 | 16652 | |
Emptying Tanks Modelling with Euler's Method
October 22nd 2009, 07:54 PM
Sam1111
Emptying Tanks Modelling with Euler's Method
I'm doing a practice paper for a past mathematical modelling exam. I've attached the problem
What I'm having trouble with is simplifying the equations and variables into a differenti... | 5 | [
-0.11328125,
0.044189453125,
0.0203857421875,
-0.0203857421875,
0.03564453125,
-0.049560546875,
-0.06201171875,
0.099609375,
-0.044921875,
-0.031005859375,
0.0654296875,
-0.046630859375,
0.0458984375,
0.011474609375,
-0.050537109375,
0.01806640625,
-0.0947265625,
-0.055419921875,
... | 16,653 | 16653 | |
Gamma Function -Substituting Variables-
April 24th 2010, 02:48 PM #1
Junior Member
Joined
Apr 2010
Posts
50
Gamma Function -Substituting Variables-
The expression for the Gamma function is given as:
$\Gamma(z)=\int^\infty_0t^{z-1}e^{-t}dt$
for Re(z)>0, and we change the variable $t$ into $t=ns$... | 4 | [
-0.060302734375,
-0.022216796875,
0.0087890625,
0.06591796875,
-0.0274658203125,
-0.030517578125,
0.061767578125,
0.040283203125,
-0.005157470703125,
0.0888671875,
0.018798828125,
0.0306396484375,
0.0849609375,
0.032958984375,
-0.03955078125,
-0.01446533203125,
0.033447265625,
-0.0... | 16,654 | 16654 | |
Why is Fourier analysis so handy for proving the isoperimetric inequality?
up vote 22 down vote favorite
20
I have just completed an introductory course on analysis, and have been looking over my notes for the year. For me, although it was certainly not the most powerful or important theorem which we
covered, the most... | 4 | [
-0.06591796875,
0.035888671875,
0.08349609375,
0.0224609375,
0.0038909912109375,
0.07666015625,
-0.02294921875,
0.05712890625,
0.0228271484375,
0.0032196044921875,
-0.032470703125,
0.0235595703125,
-0.01611328125,
-0.0498046875,
0.00004410743713378906,
-0.07861328125,
0.041748046875,... | 16,655 | 16655 | |
Machined Learnings
In my
previous post
I noted that the variance of the importance-weighted empirical risk was lower when subsampling positives than the variance of the empirical risk (on the unsampled distribution) when the hypothesis
being tested was more likely to be correct on positives than negatives. My hope wa... | 4 | [
-0.0130615234375,
-0.005157470703125,
0.03515625,
-0.0047607421875,
0.09814453125,
0.00848388671875,
-0.01385498046875,
0.02294921875,
-0.04052734375,
-0.043701171875,
-0.029541015625,
-0.0546875,
0.09814453125,
0.03466796875,
0.03759765625,
0.01507568359375,
0.15234375,
0.02819824... | 16,656 | 16656 | |
Banach space preliminaries
Next: Trees and subspaces of Up: Separable Banach space theory Previous: Introduction
Banach space preliminaries
The purpose of this section is to review some well-known concepts and results from separable Banach space theory. Our focus is the weak-*topology on the dual of a separable... | 4 | [
-0.06494140625,
-0.04736328125,
-0.00958251953125,
-0.003509521484375,
0.040283203125,
0.11474609375,
0.07958984375,
0.04052734375,
-0.02392578125,
-0.01470947265625,
-0.041748046875,
0.0615234375,
0.0162353515625,
-0.0017547607421875,
0.07177734375,
0.037109375,
0.0179443359375,
-... | 16,657 | 16657 | |
Exact value help
November 30th 2006, 05:23 PM #1
I don't understand how to do it well ><
sin340 degrees?
it says to use sum or difference of two angles formulas
anyone help me and show me how u solve it??
????
hmmmm but the answer doesn't look like the way they did example problems
ex... | 5 | [
-0.017333984375,
0.09619140625,
-0.052734375,
-0.052978515625,
-0.0206298828125,
0.01043701171875,
-0.03955078125,
0.0250244140625,
0.0260009765625,
0.060302734375,
0.07568359375,
-0.0081787109375,
0.052001953125,
0.0654296875,
0.0791015625,
0.0390625,
-0.0615234375,
0.056396484375... | 16,658 | 16658 | |
Existence and Uniqueness of Solution for a Class of Stochastic Differential Equations
The Scientific World Journal
Volume 2013 (2013), Article ID 132923, 7 pages
http://dx.doi.org/10.1155/2013/132923
Research Article
Existence and Uniqueness of Solution for a Class of Stochastic Differential Equations
^1Department o... | 5 | [
-0.1474609375,
-0.037353515625,
0.047119140625,
0.0322265625,
-0.031494140625,
0.00567626953125,
0.033203125,
-0.029052734375,
0.061767578125,
-0.057861328125,
0.09130859375,
0.0186767578125,
0.05615234375,
-0.01513671875,
-0.06494140625,
0.040771484375,
-0.04345703125,
-0.08300781... | 16,659 | 16659 | |
Physics Forums - View Single Post - Find Cartesian equation of plane containging line with parametric equations and point
1. The problem statement, all variables and given/known data
Question is
"The Cartesian equation of the plane containing the line x=3t , y =1+t , z=2-t and passing through the point (-1,2,1) is?"
... | 4 | [
-0.09228515625,
-0.00677490234375,
-0.05126953125,
-0.015380859375,
0.05419921875,
-0.026123046875,
0.03857421875,
0.038330078125,
-0.08447265625,
0.017822265625,
-0.00185394287109375,
-0.002777099609375,
0.024169921875,
-0.003021240234375,
-0.045166015625,
-0.00830078125,
-0.0947265... | 16,660 | 16660 | |
Can you please check my answers to those few questions?
February 13th 2013, 12:42 PM
Yoodle15
Markov chains/not sure of answer?
This is the question I have:"Once a year employees at a company are given the opportunity to join one of three pension plans, A, B, or C. Once an employee decides to join one of these p... | 5 | [
0.041015625,
0.04248046875,
-0.0281982421875,
-0.013427734375,
0.0167236328125,
0.0908203125,
0.03515625,
0.04052734375,
-0.00311279296875,
0.016357421875,
-0.015380859375,
-0.0024566650390625,
0.002960205078125,
-0.011962890625,
0.029296875,
0.08154296875,
-0.07177734375,
-0.12695... | 16,661 | 16661 | |
twenty four and sum of divisors
March 23rd 2010, 01:07 AM #1
Member
Joined
Nov 2009
Posts
169
twenty four and sum of divisors
If n ≡ −1 (mod 24), then 24 divides $\sigma (n) = \sum_{d|n}d$
I have proven already that if $n = \prod_{j=1}^s p_j^{a_j}$ is the prime factorization of n, then
$\sigma (... | 4 | [
-0.068359375,
-0.036376953125,
0.06591796875,
-0.0517578125,
0.0458984375,
0.018798828125,
0.08056640625,
0.11767578125,
-0.052490234375,
-0.05615234375,
0.028564453125,
0.025634765625,
0.0286865234375,
-0.052490234375,
-0.07958984375,
-0.055908203125,
0.01239013671875,
0.055664062... | 16,662 | 16662 | |
Pendulum hitting peg
katyushak
ehild,
It looks like the math does not work out to be what it is supposed to be.
I was able to get your expression for sin (beta) and it looks like v^2 should be 2g/3(Lcos[theta] - R cos [alpha] (the opposite of your expression, if I am not mistaken).
Yes, it was a typo in v^2.
From ... | 5 | [
-0.052734375,
0.00714111328125,
-0.0167236328125,
-0.0024871826171875,
-0.01483154296875,
0.0498046875,
-0.0233154296875,
0.03125,
-0.0205078125,
0.01953125,
0.0257568359375,
-0.015380859375,
-0.030029296875,
-0.005615234375,
0.0291748046875,
0.07421875,
-0.04833984375,
0.055175781... | 16,663 | 16663 | |
Rectangular to Polar Form?
How do I convert y = x^2 to polar form? Thank you, I really appreciate it.
Hi iluvmathbutitshard, Convert $y=x^2$ into polar form. In this case there really isn’t much to do other than plugging in the formulas for x and y. $x=r\cos\theta \:\:and\:\:y=r\sin \theta$ $r\sin \
theta=(r\cos \thet... | 4 | [
-0.014404296875,
-0.0016937255859375,
-0.1025390625,
0.026123046875,
0.01446533203125,
0.0284423828125,
-0.028564453125,
-0.005828857421875,
0.09765625,
-0.0021820068359375,
0.056884765625,
0.039794921875,
-0.006317138671875,
0.15234375,
0.12353515625,
0.017578125,
-0.042236328125,
... | 16,664 | 16664 | |
Calculus 3: Surface Area and Triple Intergrals
December 12th 2011, 08:46 AM #1
Newbie
Joined
Nov 2011
Posts
6
Calculus 3: Surface Area and Triple Intergrals
1. Set up, but do not evaluate, a double integral representing the surface area of the portion of the paraboloid z = 16 - x^2 - 4y^2 in the first oc... | 5 | [
-0.037109375,
0.054443359375,
0.037109375,
-0.125,
0.0089111328125,
-0.08154296875,
-0.0240478515625,
0.099609375,
-0.080078125,
-0.038330078125,
-0.052734375,
0.0035247802734375,
-0.0228271484375,
0.083984375,
0.000873565673828125,
0.06298828125,
0.00921630859375,
-0.056396484375,... | 16,665 | 16665 | |
Logarithmic Equations
September 17th 2009, 06:20 PM #1
Junior Member
Joined
Oct 2008
Posts
60
Logarithmic Equations
1) ln(1/sqrt(1+x^2)) +1=0
???
2) e^x=1+2e^-x
for this one I've got e^(x)-2e=1, then e(x-2)=1. I'm just unsure of where to go from here?
1) $\ln\left(\frac{1}{\sqrt{1+x^2}}... | 4 | [
-0.00008440017700195312,
-0.02734375,
0.0869140625,
0.0546875,
0.0291748046875,
-0.0849609375,
0.0172119140625,
0.01202392578125,
0.033447265625,
0.035400390625,
0.09814453125,
-0.08251953125,
-0.025390625,
0.08447265625,
-0.061767578125,
-0.01324462890625,
-0.041015625,
-0.0261230... | 16,666 | 16666 | |
Circular Motion and Gravitation Review
Navigate to Answers for:
Questions #1-#14
Questions #15-#28
Questions #29-#40
Part A: Multiple Choice
1. Which of the following statements are true of an object moving in a circle at a constant speed? Include all that apply.
a. The object experiences a force which has a com... | 4 | [
0.0142822265625,
-0.031982421875,
-0.02587890625,
0.0185546875,
0.11474609375,
0.0400390625,
0.07470703125,
-0.006683349609375,
0.0101318359375,
0.080078125,
0.036865234375,
-0.044189453125,
-0.0223388671875,
-0.0186767578125,
-0.0208740234375,
-0.01611328125,
-0.037841796875,
-0.0... | 16,667 | 16667 | |
Young's Experiment
The previous section of Lesson 3 discussed Thomas Young's effort to derive an equation relating the wavelength of a light source to reliably measured distances associated with a two-point source
light interference pattern. The equation, known as Young's equation is:
... | 4 | [
-0.0703125,
0.0634765625,
0.0084228515625,
0.007049560546875,
-0.04296875,
-0.0184326171875,
0.032470703125,
0.0277099609375,
0.02783203125,
0.054443359375,
0.1337890625,
-0.006988525390625,
-0.043701171875,
0.0224609375,
-0.0034942626953125,
0.078125,
-0.006591796875,
-0.026123046... | 16,668 | 16668 | |
Patente US5694407 - Method and an apparatus for modifying a FCS
FIELD OF THE INVENTION
This invention deals with the calculation of error-detecting code in the intermediate network nodes of high speed packet switching networks such as Frame Relay or ATM (Asynchronous Transfer Mode)
networks.
BACKGROUND OF THE INVENTI... | 4 | [
-0.0615234375,
-0.0233154296875,
-0.1015625,
-0.0390625,
0.01043701171875,
0.01446533203125,
0.08056640625,
0.045166015625,
0.044677734375,
-0.0303955078125,
-0.0107421875,
0.09423828125,
0.0220947265625,
-0.0673828125,
-0.109375,
-0.04150390625,
0.0106201171875,
-0.013427734375,
... | 16,669 | 16669 | |
A citrus fruit grower receives $15 for each crate of oranges
Author ... | 4 | [
-0.034423828125,
0.04296875,
-0.0390625,
0.06591796875,
0.044189453125,
0.00096893310546875,
0.0216064453125,
-0.015625,
0.08251953125,
-0.01007080078125,
0.06396484375,
-0.0966796875,
-0.0595703125,
0.022705078125,
-0.06982421875,
0.1396484375,
0.038330078125,
0.043701171875,
-0... | 16,670 | 16670 | |
If a and b are two-digit numbers that share the same digits,
Author Message
TAGS:
If a and b are two-digit nu... | 4 | [
-0.030029296875,
0.034912109375,
-0.010986328125,
-0.049560546875,
0.0218505859375,
0.04296875,
0.0732421875,
-0.048828125,
-0.0194091796875,
-0.087890625,
-0.01531982421875,
0.048828125,
0.0703125,
0.041259765625,
-0.0211181640625,
0.099609375,
-0.10986328125,
-0.00128173828125,
... | 16,671 | 16671 | |
Flexible vegetation
Sure- you could use the cantilever equation (with caveats):
EI[tex]\frac{\partial^{4}y}{\partial s^4} = 0[/tex]
Where E is the Young's modulus, I the moment of inertia, 's' the coordinate that deforms with the beam, etc. etc.
You probably want to start with a free end and a built-in end for the b... | 4 | [
-0.00567626953125,
0.04833984375,
0.024169921875,
0.01531982421875,
0.040771484375,
-0.019775390625,
-0.03125,
0.0205078125,
-0.05859375,
0.0089111328125,
0.0274658203125,
-0.0000743865966796875,
-0.02099609375,
0.05517578125,
-0.018798828125,
0.0927734375,
-0.0654296875,
0.0942382... | 16,672 | 16672 | |
Find>trigo~!
Here is one way. The complementary angles way. sinA = cos(pi/2 -A) Likewise, tanA = cot(pi/2 -A) So, tan(3A) = cot(pi/3 -A) Transform the LHS side into its cot form, cot(pi/2 -3A) = cot(pi/3 -A) So,
pi/2 -3A = pi/3 -A pi/2 - pi/3 = -A +3A pi/6 = 2A A = pi/12 ------------answer.
Hello, sanikui! This could ... | 4 | [
-0.03564453125,
0.064453125,
-0.0147705078125,
-0.059814453125,
-0.0810546875,
0.050048828125,
0.080078125,
0.010498046875,
0.0224609375,
0.03515625,
-0.0224609375,
-0.0908203125,
0.00113677978515625,
-0.0064697265625,
0.1474609375,
-0.0147705078125,
-0.0196533203125,
0.04223632812... | 16,673 | 16673 | |
basic Rational Expression simplifying help
November 17th 2010, 02:38 PM
NecroWinter
basic Rational Expression simplifying help
ok so I have the following problem:
4x+2
-------- (fraction line, i thought this would be easier)
12x^2+14x+4
the answer is 1/3x+2
I can get pretty close to this b... | 4 | [
-0.026611328125,
0.068359375,
0.09033203125,
0.0517578125,
0.00098419189453125,
0.0294189453125,
-0.00970458984375,
-0.037841796875,
0.0277099609375,
-0.026123046875,
0.05126953125,
-0.08740234375,
0.06884765625,
0.060791015625,
-0.047119140625,
0.0361328125,
-0.03173828125,
0.0732... | 16,674 | 16674 | |
Prove that a rational number squared has each of its prime factors with even exponent
EDIT:
This proof is flawed (thanks Norwegian!). Hopefully
this
works better :)
There is a generic proof for showing that the square root of a non-square integer is irrational. Let √
k
be your number where
k
is not square. Assu... | 4 | [
0.08740234375,
0.0458984375,
0.016845703125,
0.09814453125,
0.01055908203125,
0.03125,
0.035400390625,
0.0164794921875,
0.0206298828125,
-0.05810546875,
-0.0011138916015625,
0.06982421875,
0.0703125,
0.0712890625,
-0.059814453125,
-0.031005859375,
0.0478515625,
0.056884765625,
0.... | 16,675 | 16675 | |
Difficulty - Math Genius
Answer :
Though this puzzle presents no great difficulty to any one possessing a knowledge of algebra, it has perhaps rather interesting features.
Seeing, as one does in the illustration, just one corner of the proposed square, one is scarcely prepared for the fact that the field, in order to... | 4 | [
0.0849609375,
0.0947265625,
-0.0028839111328125,
-0.0162353515625,
0.005401611328125,
0.006103515625,
-0.027099609375,
0.05810546875,
-0.060791015625,
0.0245361328125,
-0.0322265625,
-0.021484375,
0.040283203125,
0.06298828125,
-0.0291748046875,
0.08447265625,
-0.042724609375,
-0.0... | 16,676 | 16676 | |
trig identities: eliminating θ
June 26th 2010, 11:29 PM
shimmerblade
trig identities: eliminating θ
Hello. Thanks for any help in advance.
just having trouble with the method of eliminating θ from the following pairs of equations:
a. x = 2 cosθ, y = 2 sin θ
b. x = b tan, y = a sec θ
June 27th 2010... | 4 | [
-0.018310546875,
0.01239013671875,
0.005279541015625,
0.0089111328125,
0.004119873046875,
0.0211181640625,
0.0042724609375,
-0.0167236328125,
0.07568359375,
-0.07666015625,
0.06591796875,
0.015625,
-0.038330078125,
0.01556396484375,
-0.0096435546875,
0.07861328125,
-0.051513671875,
... | 16,677 | 16677 | |
from linguistics, a problem of statistics..
September 12th 2011, 09:55 AM #1
Newbie
Joined
Sep 2011
Posts
3
from linguistics, a problem of statistics..
Hello everybody!
I am a linguist and I came across a linguistic problem connected with statistics. I've already solved it by "brute forse", with a l... | 5 | [
0.0164794921875,
0.025146484375,
0.0869140625,
0.00323486328125,
-0.04345703125,
0.05908203125,
0.04931640625,
-0.052734375,
0.049072265625,
0.07470703125,
-0.0113525390625,
-0.05517578125,
0.059326171875,
0.015380859375,
0.00531005859375,
0.087890625,
-0.0498046875,
0.0732421875,
... | 16,678 | 16678 | |
Simple yet difficult Math question.
I'll make a few assumptions since your question is ambiguous:
* we are using decimal digits
* leading zeros are OK, e.g. 01210 qualifies
* by "ascending" and "descending" you don't mean "strictly", e.g. 11211 qualifies
Try constraining the middle digit to a fixed value, and consider... | 5 | [
-0.033447265625,
0.035888671875,
0.048095703125,
-0.11328125,
-0.0281982421875,
0.0478515625,
-0.0108642578125,
0.052001953125,
-0.0093994140625,
-0.004119873046875,
-0.1220703125,
0.01409912109375,
0.07373046875,
0.0303955078125,
-0.0888671875,
0.00555419921875,
0.02587890625,
0.0... | 16,679 | 16679 | |
Vardi's Integral
Prove... $\int_0^\infty \frac{1}{1+x^2}\ln \ln \frac{1}{x} dx= \frac{\pi}{2}\ln \left\{ \sqrt{2\pi}\frac{\Gamma(\frac{3}{4})}{\Gamma(\frac {1}{4})}\right\}$ please help...
Last edited by Ozymandias; December 30th 2012 at 11:31 PM.
The evaluation of such integrals involves a lot of number theory. We w... | 5 | [
-0.039794921875,
-0.0859375,
0.01495361328125,
-0.00408935546875,
0.0732421875,
0.0048828125,
0.06689453125,
0.08349609375,
0.02685546875,
-0.009033203125,
-0.0223388671875,
0.031005859375,
0.037841796875,
0.014892578125,
-0.10498046875,
-0.037841796875,
0.0693359375,
-0.0805664062... | 16,680 | 16680 | |
Why's that these are normal vectors N1 and N2 from equation of 2 lines?
August 28th 2012, 04:34 PM #1
Why's that these are normal vectors N1 and N2 from equation of 2 lines?
There's an example on "Elementary Geometry of Differentiable Curves:An Undergraduate Introduction" by Gibson on page 9 which is:
"Exam... | 4 | [
-0.1513671875,
-0.008544921875,
0.0032806396484375,
0.0164794921875,
-0.0064697265625,
0.040283203125,
0.048583984375,
0.0242919921875,
0.0098876953125,
-0.010986328125,
0.0615234375,
0.0279541015625,
-0.007476806640625,
-0.0008544921875,
-0.0859375,
0.05224609375,
-0.08642578125,
... | 16,681 | 16681 | |
Converting from Polar form to Rectangular form
April 26th 2009, 09:06 PM #1
Newbie
Joined
Apr 2009
From
Washington state
Posts
12
If you have the time,
So i want to convert this polar equation to a rectangular form.
Problem1: r= 4cosθ - 4sinθ
I understand the simple conversions like thi... | 4 | [
-0.0089111328125,
-0.035888671875,
-0.0859375,
-0.02392578125,
0.037109375,
-0.00933837890625,
-0.005340576171875,
0.050048828125,
0.057861328125,
-0.04736328125,
0.037109375,
-0.01556396484375,
0.0205078125,
0.1484375,
0.0546875,
0.01519775390625,
-0.04296875,
0.02978515625,
-0.... | 16,682 | 16682 | |
But where the heck is the spinor?
P: n/a
On Apr 19, 3:52 am, neurop...@yahoo.com.au wrote:
> Hi lads,
>
> I've been reading the other thread "...intrinsic vs orbital
> angular momentum..." which talks about spinors, r x p, etc, etc.
> It mentioned ch41 of Misner, Thorne & Wheeler's "Gravitation"
> book. I've studied a... | 4 | [
-0.1279296875,
-0.04931640625,
-0.047119140625,
-0.05224609375,
-0.052734375,
-0.06298828125,
-0.0240478515625,
0.03173828125,
0.0198974609375,
-0.03759765625,
0.1005859375,
0.06103515625,
0.0140380859375,
-0.0615234375,
0.02783203125,
-0.01446533203125,
-0.014404296875,
0.03930664... | 16,683 | 16683 | |
-Laplace Dynamical Equations with Infinite Delay and Partial Fuzzy Parameters under Dirichlet Boundary Value
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 940845, 8 pages
http://dx.doi.org/10.1155/2013/940845
Research Article
On the Role of Diffusion Behaviors in Stability Criterion for p-Laplace Dyna... | 5 | [
-0.0361328125,
-0.0400390625,
0.0634765625,
-0.0107421875,
0.03271484375,
0.0191650390625,
0.01214599609375,
-0.038818359375,
0.06689453125,
-0.01611328125,
0.049560546875,
0.02197265625,
-0.006561279296875,
-0.0279541015625,
-0.039306640625,
-0.02392578125,
-0.005889892578125,
-0.... | 16,684 | 16684 | |
Patente US4631725 - Error correcting and detecting system
BACKGROUND OF THE INVENTION
(1) Field of the Invention
The present invention relates to an error correcting and detecting system, using error check and correction (ECC) codes, in which single-bit errors are corrected, double-bit errors are detected,
triple-bit... | 4 | [
-0.07080078125,
0.02783203125,
-0.05908203125,
-0.056640625,
-0.038818359375,
-0.00823974609375,
0.025634765625,
0.015625,
-0.0245361328125,
0.06396484375,
0.0062255859375,
0.09033203125,
0.10400390625,
-0.0810546875,
-0.09814453125,
-0.0234375,
0.00433349609375,
0.046875,
-0.012... | 16,685 | 16685 | |
Patente US5978956 - Five-error correction system
FIELD OF THE INVENTION
This invention relates generally to data processing systems and, more particularly, to a system for decoding and correcting errors in data using an error correction code.
BACKGROUND OF THE INVENTION
Data stored on magnetic media, such as a magne... | 4 | [
-0.064453125,
0.003204345703125,
-0.03955078125,
-0.021728515625,
-0.05517578125,
-0.05126953125,
0.004608154296875,
0.0888671875,
0.0233154296875,
-0.0184326171875,
0.04443359375,
0.154296875,
0.0986328125,
-0.0732421875,
-0.099609375,
-0.06005859375,
-0.02880859375,
0.00732421875... | 16,686 | 16686 | |
Find the maximum/minimum
Find the local maximum and local minimum of $f(x)=(x-1)(x-2)(x-3)$ using AM-GM inequality.
Last edited by james_bond; April 30th 2008 at 08:14 AM.
Let’s say we want to find the maximum and minimum of f(x) in the interval $1\leq x\leq3$. That would make much more sense, wouldn’t it? Now, rewri... | 5 | [
0.059814453125,
-0.06884765625,
-0.031982421875,
-0.055419921875,
-0.08837890625,
-0.0025634765625,
-0.0341796875,
0.037353515625,
0.0194091796875,
0.0225830078125,
-0.0546875,
-0.00946044921875,
0.08154296875,
0.025634765625,
0.004852294921875,
0.045166015625,
0.076171875,
-0.0539... | 16,687 | 16687 | |
Analysis
March 22nd 2009, 09:58 PM
scubasteve94
Analysis
100m of angle steel is used to make a rectangular frame with three crossbars in the figure.
Figure attached
a) if the width of the frame is xm, determine an expression for l, the length of the frame in metres, in terms of x.
b) the frame is t... | 4 | [
-0.024169921875,
0.08837890625,
-0.0264892578125,
-0.0634765625,
0.0177001953125,
-0.036376953125,
0.01953125,
0.047119140625,
-0.091796875,
0.03955078125,
0.01373291015625,
-0.0220947265625,
0.05712890625,
0.06787109375,
-0.0027618408203125,
0.0625,
-0.02734375,
-0.00982666015625,... | 16,688 | 16688 | |
Anyone a Riemann Surface guru?
MAT354? e^w is single valued on those strips, and it maps those strips onto the plane - {0}, so you want to take the plane - {0} and make a cut such that log(z) maps the cut onto the lines separating
those strips. w^n is single valued on the sectors, and it maps each sector onto a plane, ... | 4 | [
-0.05615234375,
0.0400390625,
-0.0255126953125,
0.06884765625,
0.054931640625,
-0.09228515625,
0.037353515625,
-0.01104736328125,
0.000400543212890625,
-0.037109375,
0.00141143798828125,
-0.01409912109375,
-0.0264892578125,
0.045166015625,
-0.039794921875,
-0.054443359375,
-0.1010742... | 16,689 | 16689 | |
of a
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ┃
... | 5 | [
-0.00433349609375,
0.0086669921875,
0.08740234375,
-0.044189453125,
0.034912109375,
0.01031494140625,
0.01953125,
0.052001953125,
0.001861572265625,
-0.03955078125,
0.09912109375,
-0.021240234375,
0.015869140625,
-0.04443359375,
-0.0001811981201171875,
0.046142578125,
-0.0908203125,
... | 16,690 | 16690 | |
Energy of Activation Clarification
Here's my understanding.
The activation energy is defined as the minimum amount of energy required to bring about formation of the transition state. This can be confirmed by the use of potential-energy surfaces like
this
. This plots potential versus different states of this system... | 4 | [
-0.031494140625,
-0.0263671875,
0.05078125,
-0.048095703125,
-0.00072479248046875,
0.033447265625,
0.078125,
0.0859375,
0.0986328125,
0.042724609375,
-0.01422119140625,
-0.016357421875,
0.02587890625,
0.00732421875,
0.03369140625,
0.060302734375,
0.03125,
-0.024169921875,
-0.0615... | 16,691 | 16691 | |
Integration: what variables can you move outside of the integrand?
You can move
constants
(and so variables that are independent of the variable of integration and so are treated like constants in the integration) outside the integral.
tahayassen
[tex]1.\int { x } dx=x\int { 1 } dx[/tex]
No, x
is
the variable ... | 5 | [
-0.054931640625,
0.00110626220703125,
0.10888671875,
-0.026611328125,
0.031494140625,
0.0294189453125,
0.044921875,
0.0005950927734375,
-0.017333984375,
-0.02685546875,
0.045654296875,
-0.0286865234375,
0.01470947265625,
0.0263671875,
-0.1162109375,
-0.10302734375,
-0.0177001953125,
... | 16,692 | 16692 | |
Radicals Problem
Ok, so this problem gets really messy--too messy to type some parts of it. If anyone out there has a shorter way of doing, be my guest and post it, cause this is the only way I see how. Here goes: x^
2 + sqrt(x^2 + 3x + 5) = 7 - 3x => sqrt(x^2 + 3x + 5) = -x^2 - 3x + 7 => x^2 + 3x + 5 = (-x^2 - 3x + 7)... | 4 | [
-0.03173828125,
0.0242919921875,
0.04833984375,
0.11376953125,
0.020263671875,
0.03125,
-0.00592041015625,
-0.060302734375,
0.008544921875,
-0.0634765625,
0.0230712890625,
0.003662109375,
0.068359375,
0.054443359375,
-0.052734375,
0.01324462890625,
-0.040283203125,
0.0751953125,
... | 16,693 | 16693 | |
Help! - Pythagorean Theorem Proof
December 11th 2009, 06:40 AM #1
Junior Member
Joined
Nov 2009
Posts
29
In need of help. I've searched the internet and can't seem to find a pythag proof that makes since to me.
Looking at the diagram below and using the following theorem, how do you prove the pythago... | 4 | [
-0.06884765625,
0.09521484375,
-0.052978515625,
0.036865234375,
0.044921875,
0.0390625,
0.0228271484375,
0.027099609375,
0.0830078125,
-0.038330078125,
0.03466796875,
-0.0308837890625,
0.02001953125,
0.015869140625,
0.01123046875,
0.03564453125,
-0.12255859375,
0.045166015625,
-0... | 16,694 | 16694 | |
Convergence problem
$\sum_{n=1}^{\infty}\frac{2n-1}{n(n+1)(n+2)}$ You can use any number of tests to see if it converges or not(ratio test), but if it converges what does it converges to?.
Split that into two series (both of them converge because of direct comparison test) and then: $\frac{1}{(n+1)(n+2)}=\frac{n!}{(n+... | 5 | [
-0.0264892578125,
-0.0712890625,
-0.0045166015625,
-0.00506591796875,
-0.0458984375,
0.0267333984375,
0.00616455078125,
-0.007110595703125,
0.0196533203125,
0.0230712890625,
-0.04443359375,
-0.01446533203125,
-0.0245361328125,
-0.011962890625,
-0.09716796875,
-0.05078125,
0.063964843... | 16,695 | 16695 | |
Physics Forums - Volume expansion problem, is my concept wrong?
volume expansion problem, is my concept wrong?
here is the question:
The density of gasoline is 730 kg/m^3 at 0 degree celsius. Its average coefficient of volume expansion is 9.6e-4. If 1.00 gallon of gasoline occupies .00380 m^3, how many extra kilog... | 4 | [
-0.0164794921875,
0.043212890625,
-0.011474609375,
0.044189453125,
0.0174560546875,
-0.0751953125,
-0.040283203125,
0.0654296875,
-0.00885009765625,
-0.0125732421875,
0.00433349609375,
-0.039794921875,
0.0419921875,
0.052978515625,
-0.0093994140625,
-0.0255126953125,
0.0162353515625,... | 16,696 | 16696 | |
Solving Problems with Linear Equations
January 24th 2013, 03:04 PM #1
Member
Joined
Jan 2013
From
Australia
Posts
154
Thanks
3
Solving Problems with Linear Equations
Holiday homework strikes again!
1) A wine merchant buys 50 cases of wine. He pays full price for half of them but gets a 40% d... | 4 | [
0.07373046875,
0.04150390625,
-0.0026092529296875,
-0.0159912109375,
0.007781982421875,
0.0869140625,
0.0311279296875,
0.037841796875,
-0.035888671875,
0.07763671875,
0.015869140625,
-0.07275390625,
-0.015869140625,
0.033447265625,
0.038818359375,
0.061279296875,
-0.0244140625,
0.0... | 16,697 | 16697 | |
Linear regression
37.2 Linear regression
The functions described in this section can be used to perform least-squares fits to a straight line model, Y(c,x) = c_0 + c_1 x.
Function: int gsl_fit_linear (const double * x, const size_t xstride, const double * y, const size_t ystride, size_t n, double * c0, double * c1, ... | 4 | [
-0.11279296875,
-0.0098876953125,
0.0250244140625,
-0.0019378662109375,
0.0167236328125,
0.0634765625,
-0.0634765625,
0.12109375,
-0.0546875,
-0.00174713134765625,
0.00185394287109375,
0.0228271484375,
-0.02001953125,
-0.05322265625,
-0.09814453125,
0.0269775390625,
-0.00714111328125... | 16,698 | 16698 | |
Integration c of mass
February 20th 2010, 11:55 AM #1
Senior Member
Joined
Sep 2009
Posts
300
Integration c of mass
Hi, Can some one Please help. centre mas question
The 'question' is in blue on my drawing, I have attempted it but I dont believe it is correct ,I made up my own value for variable c , ... | 5 | [
0.0020904541015625,
0.00860595703125,
0.05859375,
-0.05908203125,
-0.002960205078125,
0.0291748046875,
-0.0732421875,
0.0810546875,
-0.056640625,
-0.0269775390625,
0.018798828125,
-0.03662109375,
-0.03466796875,
0.0234375,
-0.02001953125,
0.126953125,
0.024169921875,
-0.03442382812... | 16,699 | 16699 |