content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Help with Minimum Area
March 26th 2009, 06:52 PM #1
Newbie
Joined
Mar 2009
Posts
10
Help with Minimum Area
1) A cardboard box of 32in^3 volume with a square base and open top is to be constructed. Find the minimum area of cardboard needed.
Since it has a square base, length and width must be the sam... | 5 | [
0.134765625,
0.09326171875,
-0.04296875,
-0.042724609375,
-0.05322265625,
0.00567626953125,
-0.052978515625,
0.08984375,
-0.07275390625,
-0.025146484375,
-0.055419921875,
-0.046875,
0.0498046875,
0.030517578125,
-0.0032501220703125,
0.04931640625,
0.01153564453125,
0.047119140625,
... | 17,100 | 17100 | |
Please verify my derivation on elliptical polarization of EM wave
This is not a home work, it is part of the text book on elliptical polarization. Attached is a page in Kraus Antenna book, I cannot verify the equation on the last line. Here is my work
[tex]E_y=E_2(\sin{\omega} t \cos \delta \;+\; \cos \omega {t} \sin ... | 4 | [
-0.040771484375,
0.025146484375,
0.0196533203125,
-0.049560546875,
0.0240478515625,
-0.064453125,
-0.000118255615234375,
0.01025390625,
-0.0174560546875,
-0.0107421875,
0.1396484375,
-0.0019989013671875,
-0.027099609375,
-0.031494140625,
0.07373046875,
0.04638671875,
-0.08056640625,
... | 17,101 | 17101 | |
Probability question -
November 12th 2009, 06:41 AM #1
Junior Member
Joined
Nov 2009
Posts
25
Probability question -
If 85 percent of the autos arriving at the Lincoln Tunnel have either New York or New Jersey license plates, what is the probability that, of the next 20 autos, 2 or fewer (i.e., 0, 1, 2) ... | 5 | [
0.048583984375,
0.0654296875,
0.0712890625,
-0.0162353515625,
0.0093994140625,
-0.0022735595703125,
0.07373046875,
0.0732421875,
-0.056396484375,
0.046142578125,
0.08544921875,
-0.059326171875,
0.0615234375,
0.07421875,
0.0272216796875,
0.09130859375,
0.029296875,
-0.1025390625,
... | 17,102 | 17102 | |
If [math]y = In \left[ \frac{x(x^2 + 1)}{\sqrt{x^3 - 1}} \right] [/math]
March 26th 2011, 01:22 AM #1
If [math]y = In \left[ \frac{x(x^2 + 1)}{\sqrt{x^3 - 1}} \right] [/math]
$y = In \left[ \frac{x(x^2 + 1)}{\sqrt{x^3 - 1}} \right]$ find y'
I began this by
letting $u=\frac{x(x^2+1)}{\sqrt{x^3 - 1}}$
... | 5 | [
-0.025390625,
0.0296630859375,
0.0279541015625,
-0.0263671875,
-0.0020599365234375,
-0.03271484375,
0.02001953125,
-0.0269775390625,
0.0244140625,
-0.059814453125,
0.08544921875,
-0.03857421875,
-0.03759765625,
0.07080078125,
-0.0634765625,
-0.0250244140625,
-0.04638671875,
-0.0239... | 17,103 | 17103 | |
Probability Help - Negative Binomial
April 16th 2008, 04:04 PM #1
Junior Member
Joined
Dec 2007
Posts
32
Probability Help - Negative Binomial
Hi
I know this problem is negative binomial, but I'm having problems on trying to set it up. Any help would be greatly appreciated.
A family decides to h... | 5 | [
-0.0022125244140625,
0.0224609375,
-0.0000032335519790649414,
-0.007049560546875,
-0.04541015625,
-0.07080078125,
0.05810546875,
-0.0576171875,
0.0291748046875,
0.049560546875,
0.146484375,
-0.078125,
0.028564453125,
0.040283203125,
0.052734375,
0.07177734375,
0.0478515625,
-0.0441... | 17,104 | 17104 | |
Patent US6122016 - Video signal processing
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention relates to a method and apparatus for processing a video signal, for example, for reducing an amount of noise in the video signal. The invention also relates to a television signal
receiver comprising such a... | 4 | [
-0.0634765625,
0.03466796875,
0.020751953125,
-0.10498046875,
-0.0400390625,
0.032470703125,
0.037841796875,
-0.039306640625,
0.06298828125,
-0.0286865234375,
-0.001983642578125,
0.051025390625,
0.03271484375,
-0.0390625,
-0.1318359375,
-0.02294921875,
-0.005096435546875,
0.0437011... | 17,105 | 17105 | |
Parabola?
May 11th 2011, 03:14 PM
homeylova223
Parabola?
Write the equation of the parabola that meets each set of conditions.
The parabola has a horizontal axis and passes through the origin and points at (-1,2) and (3,-2).
Now I am not sure how to do this would I use the midpoint formula to find the ... | 4 | [
-0.0159912109375,
0.0255126953125,
0.015869140625,
-0.0537109375,
-0.001373291015625,
0.07666015625,
-0.03515625,
0.068359375,
0.0169677734375,
-0.033447265625,
0.050537109375,
-0.0031585693359375,
0.01153564453125,
0.027587890625,
0.0021820068359375,
0.09375,
-0.05078125,
-0.09570... | 17,106 | 17106 | |
Most probable molecular speed?
Yes, it's possible.
1) Again, dN/N is the fraction of molecules having that speed. It's possible to work out the fraction from a probability distribution- even if you don't know the total number N.
2) Consider a probability distribution function f(x). The probability of obtaining a res... | 4 | [
0.011474609375,
-0.0556640625,
0.02978515625,
-0.046875,
-0.0274658203125,
-0.0732421875,
0.040283203125,
0.048828125,
0.0218505859375,
0.006561279296875,
0.0030975341796875,
-0.033935546875,
-0.0301513671875,
0.041015625,
0.02978515625,
-0.056396484375,
0.034423828125,
0.057128906... | 17,107 | 17107 | |
Angle of Flight
April 9th 2010, 07:16 PM #1
Member
Joined
Dec 2009
Posts
224
Angle of Flight
An airplane of mass 1300 kg has an engine failure when flying with an airspeed of 131 km/h at an altitude of 2900 m on a calm day. It then glides at a constant glide angle (which is the direction
of flight be... | 5 | [
-0.040771484375,
0.11767578125,
-0.0654296875,
-0.0478515625,
-0.051025390625,
0.0177001953125,
0.026611328125,
0.041748046875,
-0.061767578125,
0.009765625,
0.076171875,
-0.0196533203125,
-0.041748046875,
0.016357421875,
-0.039306640625,
-0.002532958984375,
-0.04296875,
0.02478027... | 17,108 | 17108 | |
graphs slid around with subtraction
Re: graphs slid around with subtraction
Member
Registered: 2005-08-22
Posts: 1,504
Re: graphs slid around with subtraction
basicly the reason the shifting occurs is it puts it a few steps ahead, say for instance f(x) = 2x. To get a 4 you'd have to inset an x value of 2... | 4 | [
-0.10302734375,
-0.057861328125,
0.034423828125,
-0.00335693359375,
-0.005523681640625,
-0.0810546875,
0.00872802734375,
-0.0096435546875,
0.061279296875,
0.03515625,
0.083984375,
0.01953125,
0.0267333984375,
0.08740234375,
0.024658203125,
0.005615234375,
-0.130859375,
0.0270996093... | 17,109 | 17109 | |
2 player game rolling a die
August 31st 2009, 05:29 PM #1
Member
Joined
Mar 2009
Posts
133
2 player game rolling a die
Homer and Marge are about to play a game with the following rules. They take turns rolling a standard fair die, starting with Homer. The game ends when someone rolls a 5 or 6. That perso... | 5 | [
-0.0279541015625,
-0.0303955078125,
0.00885009765625,
-0.060302734375,
-0.033935546875,
0.018798828125,
0.05126953125,
0.033203125,
0.0203857421875,
0.06787109375,
-0.06396484375,
-0.0245361328125,
-0.052734375,
0.0172119140625,
-0.00885009765625,
0.0361328125,
-0.06396484375,
-0.0... | 17,110 | 17110 | |
Patent US20080208113 - Fully Automated Control System for Type I Diabetes
BACKGROUND
Type 1 diabetes is a chronic, life-threatening disease that is caused by failure of the pancreas to deliver the hormone insulin, which is otherwise made and secreted by the beta cells of the
pancreatic islets of Langerhans. Insulin op... | 4 | [
-0.04296875,
0.0189208984375,
-0.060791015625,
0.06494140625,
-0.031982421875,
0.01312255859375,
0.1162109375,
0.1181640625,
-0.005096435546875,
0.0181884765625,
-0.06494140625,
0.0751953125,
-0.047607421875,
0.0002689361572265625,
-0.0712890625,
-0.0203857421875,
0.0240478515625,
... | 17,111 | 17111 | |
Math Help
October 26th 2008, 07:27 PM #1
Help, please
The Volume, V of a given mass of gas varies directly as the temperature
3
T and inversely as the pressure, P. If V= 276.0in when T= 230 degrees
2 2
and P= 10 lbs , what is the volume when T= 130 degrees and P = 15 lbs ?
3
The answer... | 4 | [
-0.0908203125,
0.0625,
0.0286865234375,
-0.0021820068359375,
-0.00390625,
-0.022216796875,
0.006591796875,
0.047607421875,
-0.005035400390625,
0.0252685546875,
-0.0198974609375,
-0.060302734375,
-0.013671875,
0.042724609375,
0.019775390625,
-0.04443359375,
0.0419921875,
0.013977050... | 17,112 | 17112 | |
Density of water vapour in the air following compression if it were an Ideal Gas
Andrew Mason
You have to specify units and be careful. You have to convert L to m^3.
The vapour pressure of fully saturated air is 2670 Pa
of which this water vapour contributes 59.4% or 1586 Pa.
Using n = PV/RT, the amount of water v... | 4 | [
-0.0272216796875,
0.046630859375,
-0.034423828125,
-0.0081787109375,
0.020263671875,
-0.041015625,
0.08056640625,
-0.043701171875,
-0.0771484375,
-0.01422119140625,
-0.015625,
-0.044189453125,
0.045166015625,
0.06396484375,
-0.007110595703125,
0.0012359619140625,
-0.016357421875,
0... | 17,113 | 17113 | |
Need help with exponential growth solutions!
September 6th 2010, 10:20 PM #1
Newbie
Joined
Sep 2010
Posts
2
Need help with exponential growth solutions!
hi guys, i could really use your help right now. i just started school at a university 2 weeks ago and i transferred out of one of my classes into a new... | 4 | [
-0.040771484375,
0.0027008056640625,
0.0027008056640625,
-0.00762939453125,
-0.025634765625,
-0.01239013671875,
-0.006805419921875,
0.037109375,
-0.061767578125,
0.04296875,
0.0986328125,
-0.08935546875,
-0.02587890625,
0.12451171875,
-0.000942230224609375,
0.0235595703125,
-0.030151... | 17,114 | 17114 | |
Calculus paper help needed
January 7th 2011, 02:38 AM #1
Junior Member
Joined
Jan 2011
Posts
58
Calculus paper help needed
Hi over the festive period i have been trying some past papers, just to get ready for the summer, ive got stuck on a few of the questions and wondering if somebody can help me, the l... | 5 | [
-0.03076171875,
0.0294189453125,
0.095703125,
0.0341796875,
0.0291748046875,
0.031494140625,
-0.0625,
-0.038330078125,
-0.0021209716796875,
-0.01806640625,
0.08837890625,
-0.038330078125,
0.05078125,
-0.0203857421875,
-0.0498046875,
0.099609375,
-0.0137939453125,
-0.0208740234375,
... | 17,115 | 17115 | |
Conic Sampling: An Efficient Method for Solving Linear and Quadratic Programming by Randomly Linking Constraints within the Interior
Abstract
Linear programming (LP) problems are commonly used in analysis and resource allocation, frequently surfacing as approximations to more difficult problems. Existing approaches to... | 4 | [
0.019287109375,
0.0179443359375,
-0.00213623046875,
-0.039306640625,
0.02734375,
-0.08740234375,
0.0390625,
0.018310546875,
-0.032958984375,
0.06884765625,
-0.10791015625,
0.0201416015625,
0.00897216796875,
0.0218505859375,
-0.0040283203125,
0.025634765625,
0.010498046875,
0.034423... | 17,116 | 17116 | |
Patent US7148843 - Enhanced real time kinematics determination method and apparatus
RELATED APPLICATIONS
The present application is related to co-pending U.S. Patent Application entitled, “Enhanced Rapid Real Time Kinematics Determination Method and Apparatus,” by the present inventors, assigned to the
present assigne... | 4 | [
-0.138671875,
0.015869140625,
-0.0673828125,
-0.0712890625,
-0.051025390625,
-0.03271484375,
-0.014404296875,
0.0576171875,
0.052978515625,
-0.002655029296875,
0.06298828125,
0.08984375,
0.034912109375,
-0.0159912109375,
-0.10546875,
-0.109375,
0.0576171875,
0.1083984375,
0.00497... | 17,117 | 17117 | |
Calculus! #39: Early Transcendentals 3.6A
3.6: Derivatives of Logarithmic Functions
This section has great because it contains two of my favorite things: a useful tool and a cute proof. Let’s dig in.
First, we start off with a proof of the general case of derivatives for any log function. The proof is one of those g... | 4 | [
-0.01397705078125,
-0.043701171875,
0.0208740234375,
0.1005859375,
-0.00689697265625,
-0.0830078125,
0.04736328125,
0.00127410888671875,
0.058349609375,
0.15234375,
0.0849609375,
0.0264892578125,
0.00830078125,
0.0673828125,
-0.005523681640625,
0.0068359375,
-0.1416015625,
0.006347... | 17,118 | 17118 | |
Patent US6876645 - Delay and channel estimation for multi-carrier CDMA system
BACKGROUND OF THE INVENTION
This invention relates to receivers for decoding signals received via multiple propagation paths having different propagation delays and, more particularly, to delay and channel estimation for
multi-carrier system... | 4 | [
-0.019775390625,
0.0576171875,
-0.06591796875,
-0.056640625,
-0.0947265625,
0.0123291015625,
0.043212890625,
-0.0216064453125,
0.003875732421875,
0.0084228515625,
-0.0185546875,
0.03466796875,
0.06396484375,
-0.10302734375,
-0.037841796875,
-0.046630859375,
-0.03515625,
0.054443359... | 17,119 | 17119 | |
Related Rates: Coffee flowing from a conical filter to a right cylinder coffeepot
January 15th 2013, 02:09 PM
Lambin
Related Rates: Coffee flowing from a conical filter to a right cylinder coffeepot
The first problem:
Making coffee. Coffee is draining from a conical filter into a cylindrical coffeepot at th... | 5 | [
-0.031494140625,
0.043212890625,
0.03759765625,
-0.0111083984375,
-0.017578125,
0.00958251953125,
-0.037353515625,
0.08642578125,
0.016845703125,
-0.005615234375,
-0.050048828125,
-0.031005859375,
0.01385498046875,
0.058837890625,
-0.028564453125,
-0.05712890625,
-0.044921875,
0.01... | 17,120 | 17120 | |
relative extrema and C.P
Find the critical points of: $(3x^2+3x+3)e^{-x}$ I get x=0, x=1 am I correct?
found the derivative and set it=0 Let f(x) = (3x^2 + 3x + 3) * e^(-x) Using the product rule, we have: f'(x) = (6x + 3) * e^(-x) + (3x^2 + 3x + 3) * (-e^(-x)) f'(x) = (6x + 3) * e^(-x) - (3x^2 + 3x +
3) * e^(-x) f'(x... | 4 | [
-0.01177978515625,
-0.0283203125,
-0.0269775390625,
-0.0673828125,
0.01416015625,
0.0113525390625,
-0.006622314453125,
0.06494140625,
0.0150146484375,
-0.00927734375,
0.130859375,
-0.0927734375,
0.072265625,
-0.0771484375,
0.032470703125,
-0.080078125,
-0.0263671875,
-0.04174804687... | 17,121 | 17121 | |
Areas and Differentials
April 7th 2008, 01:39 PM #1
Member
Joined
Mar 2008
Posts
88
Hey guys I'm having problems on these three word problems. These problems are going to on a test with in two days. So here they are.
17) Find the area under the "curve" y=3 from x=1 to x=3
18) Find the area betwe... | 5 | [
-0.0281982421875,
-0.06689453125,
-0.000568389892578125,
0.00897216796875,
-0.0079345703125,
-0.0191650390625,
-0.007720947265625,
0.02392578125,
-0.04736328125,
-0.01165771484375,
0.07568359375,
-0.010986328125,
0.0252685546875,
0.034912109375,
0.03662109375,
0.011474609375,
-0.0908... | 17,122 | 17122 | |
Working with Bitwise Operators
As it is said, great things are in small ones. Its someway true in C as well. Working on bits rather than bytes, and other bigger data structures leverage implementations in speed and space
efficiency. With really high end computers coming up these days, bitwise operations may not be tha... | 4 | [
0.07568359375,
0.053955078125,
-0.026123046875,
-0.00738525390625,
-0.022705078125,
-0.1279296875,
-0.01312255859375,
0.0003662109375,
0.01068115234375,
-0.004638671875,
-0.0849609375,
0.033203125,
0.051025390625,
0.0022430419921875,
-0.0120849609375,
0.01953125,
-0.007537841796875,
... | 17,123 | 17123 | |
I need help please!!
September 10th 2009, 09:44 PM #1
Newbie
Joined
Sep 2009
Posts
11
I need help please!!
Can I get some help with this problem? I don't know how to set it up to solve it. On the answer sheet it says the correct answer is 4 1/2 hours but I can't figure it out. Thanks
Two cyclists st... | 4 | [
-0.0035247802734375,
0.038330078125,
-0.015625,
-0.06005859375,
-0.0262451171875,
0.03515625,
-0.03759765625,
0.06689453125,
0.0081787109375,
-0.032958984375,
0.046142578125,
-0.0264892578125,
0.0233154296875,
0.030029296875,
0.01904296875,
0.06396484375,
-0.051513671875,
-0.012695... | 17,124 | 17124 | |
circular permutations
March 26th 2011, 09:08 AM #1
Junior Member
Joined
Sep 2010
Posts
36
circular permutations
3 girls and 3 boys can be seated at a circular table so that any two and only two of the ladies sit together. How many ways can they be seated?
My method was: 2 girls have to be seated toe... | 4 | [
0.023193359375,
-0.05517578125,
0.0208740234375,
-0.0027313232421875,
-0.06298828125,
-0.05322265625,
-0.0284423828125,
-0.043701171875,
-0.0179443359375,
0.046875,
0.033935546875,
-0.00994873046875,
0.1044921875,
-0.004241943359375,
0.00494384765625,
0.0213623046875,
0.017333984375,... | 17,125 | 17125 | |
Variable inertia flywheel
miljacev
Hello,
My question is: how much energy is needed for changing inertia of flywheel?
example: on rotary shaft we have linear actuator which is moving some object (mass). by that movement, radius of flywheel is changing. ...if there is energy input to flywheel, mass is moving away
... | 4 | [
-0.0107421875,
0.0152587890625,
-0.1396484375,
-0.046875,
0.002044677734375,
-0.01019287109375,
0.031005859375,
0.053466796875,
-0.039794921875,
0.0230712890625,
0.049560546875,
0.021728515625,
0.017333984375,
-0.03857421875,
-0.0128173828125,
0.15625,
0.052734375,
0.0869140625,
... | 17,126 | 17126 | |
Patent US7512647 - Condensed Galois field computing system
FIELD OF THE INVENTION
This invention relates to a condensed Galois field computing system.
BACKGROUND OF THE INVENTION
Multiplication of polynomials with coefficients in Galois fields (GF) is widely used in communication systems for Reed Solomon (RS) coding... | 4 | [
-0.043212890625,
-0.01165771484375,
-0.047119140625,
-0.05615234375,
-0.078125,
-0.10498046875,
0.0034332275390625,
0.01611328125,
0.052490234375,
0.01226806640625,
-0.03759765625,
0.045654296875,
-0.0218505859375,
-0.0556640625,
-0.03466796875,
0.0234375,
-0.048828125,
0.041259765... | 17,127 | 17127 | |
Proof
February 6th 2008, 01:14 AM
slevvio
Proof
Prove $\int^{a}_{0} f(x)dx = \int^{a}_{0}f(a-x)dx$
I managed to prove that LHS = F(a) -F(0) and RHS = F(0) - F(a).
Any help would be appreciated!
February 6th 2008, 01:38 AM
earboth
Quote:
Hi,
you have nothing else to do than use the def... | 4 | [
-0.020751953125,
0.048583984375,
0.056396484375,
0.04638671875,
-0.01708984375,
0.07470703125,
0.061767578125,
0.042724609375,
-0.024169921875,
0.07666015625,
0.045166015625,
-0.03759765625,
0.03857421875,
0.045654296875,
0.05908203125,
-0.032470703125,
-0.05126953125,
-0.008850097... | 17,128 | 17128 | |
Detecting Weak Instruments in R
Any instrumental variables (IV) estimator relies on two key assumptions in order to identify causal effects:
1. That the excluded instrument or instruments only effect the dependent variable through their effect on the endogenous explanatory variable or variables (the exclusion restri... | 5 | [
-0.056396484375,
-0.015869140625,
0.07275390625,
0.007476806640625,
0.0654296875,
0.053466796875,
-0.039306640625,
-0.000553131103515625,
0.041259765625,
0.041015625,
0.001983642578125,
0.004730224609375,
0.04248046875,
-0.03271484375,
-0.044677734375,
-0.044189453125,
0.019409179687... | 17,129 | 17129 | |
Trapezium problem
September 12th 2005, 07:09 AM #1
Member
Joined
Jul 2005
Posts
187
Trapezium problem
Look at the drawing and declare the x and y. The intersection is the point we get if we lenghten the c and d as far as they intersect.
The final task is to calculate the area of the formed triangle.
... | 4 | [
-0.02001953125,
0.0927734375,
0.044921875,
-0.050537109375,
-0.031982421875,
-0.052490234375,
-0.00628662109375,
0.0703125,
-0.011962890625,
0.02392578125,
0.0517578125,
-0.06640625,
-0.0218505859375,
0.037841796875,
0.0751953125,
0.011962890625,
-0.130859375,
-0.00592041015625,
... | 17,130 | 17130 | |
The hardest Question on the Exam!
January 31st 2013, 06:33 PM #1
The hardest Question on the Exam!
There was a question that said: In an artithmetic sequence t(9) + t(22)= 61 what is the sum of the first 30 terms. Now i solved this question and i got an answer of 915. However I believe that I
solved it a diff... | 4 | [
-0.0927734375,
0.076171875,
0.0546875,
-0.072265625,
-0.09130859375,
0.064453125,
0.005889892578125,
0.044921875,
-0.00823974609375,
-0.039794921875,
0.05029296875,
-0.04150390625,
-0.0390625,
-0.0037841796875,
-0.05419921875,
-0.03466796875,
-0.08642578125,
-0.0062255859375,
0.0... | 17,131 | 17131 | |
sum of $1/ \phi(n)^2$
up vote 2 down vote favorite
Hello,
I am reading some material on circle method. Right now I am at its application to the binary Goldbach problem. To obtain a certain bound the fact $\sum_{n> X} 1/ \phi(n)^2 = O(1/X)$ is used. Could
anyone please help me how to solve it?
Here $\phi$ is the Eule... | 5 | [
-0.04052734375,
0.01531982421875,
0.07666015625,
0.10693359375,
0.0208740234375,
-0.05517578125,
0.032470703125,
0.056884765625,
0.06396484375,
-0.11376953125,
-0.0771484375,
0.10302734375,
0.009033203125,
-0.04541015625,
-0.06884765625,
-0.019775390625,
0.09912109375,
0.0089111328... | 17,132 | 17132 | |
Find a probability
December 6th 2009, 12:17 PM #1
Newbie
Joined
Jun 2008
Posts
19
Find a probability
Here is the question. It's probably very simple and I just can't figure it out:
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.... | 4 | [
0.0167236328125,
0.1494140625,
0.03662109375,
-0.0004024505615234375,
0.004364013671875,
-0.03173828125,
-0.0390625,
0.05810546875,
-0.052734375,
0.059326171875,
-0.00665283203125,
-0.0011138916015625,
0.08447265625,
0.0703125,
0.0223388671875,
-0.0279541015625,
-0.0008697509765625,
... | 17,133 | 17133 | |
cauchy sequence
Show that if $x_n$ and $y_n$ are Cauchy sequences then both $x_n+y_n$ and $x_n y_n$ are Cauchy sequences
The first is simple noting $\left| {(x_m + y_m ) - (x_n + y_n )} \right| \leqslant \left| {x_m - x_n } \right| + \left| {y_m - y_n } \right|$. For the second we know that Cauchy sequences are
bounde... | 5 | [
-0.0302734375,
-0.062255859375,
0.0286865234375,
-0.06982421875,
0.0135498046875,
0.08447265625,
0.03857421875,
0.0240478515625,
-0.12109375,
-0.047119140625,
0.044677734375,
0.046875,
-0.0294189453125,
-0.03173828125,
0.049072265625,
0.0654296875,
0.1142578125,
0.05126953125,
0.... | 17,134 | 17134 | |
Geometric Series....got it down to algebra...but i can figure it out
March 9th 2008, 10:00 AM #1
Member
Joined
May 2007
Posts
150
Geometric Series....got it down to algebra...but i can figure it out
so it was
If 1+x+x^2+x^3+.....+x^24=10 what is x
so i got
((x^25) - x) / (x -1) = 9
an... | 5 | [
-0.03759765625,
0.007232666015625,
-0.0205078125,
0.01092529296875,
-0.051513671875,
-0.06396484375,
0.017333984375,
0.006439208984375,
0.0150146484375,
0.00970458984375,
-0.0296630859375,
-0.07568359375,
0.052734375,
0.0791015625,
-0.0250244140625,
-0.006195068359375,
-0.02319335937... | 17,135 | 17135 | |
Pythagorean triples
January 27th 2010, 11:34 AM
zhupolongjoe
Pythagorean triples
Show that the area A of a triangle whose sides form a pythagorean triple is always divisible by 6.
Hint: For an integer x, x^2 is of the form 4k or 1+8k, and when 3 doesn't divide x, x^2 is of the form 1+3k.
I don't know w... | 5 | [
-0.0277099609375,
0.0693359375,
-0.0361328125,
0.053466796875,
-0.04541015625,
0.0257568359375,
0.0255126953125,
0.004669189453125,
0.032470703125,
-0.05224609375,
-0.044677734375,
-0.033447265625,
-0.048583984375,
0.0196533203125,
-0.0191650390625,
-0.0299072265625,
-0.0205078125,
... | 17,136 | 17136 | |
Sample variance
November 3rd 2009, 02:23 PM #1
Sample variance
This is a proof question that I just cannot get what's required for the life of me. This isn't part of my assessed homework, just fyi.
Suppose $X_1$, $X_2$, ..., $X_n$ is a random sample from a random variable $X$ which has expectation $\mu$ and ... | 5 | [
0.021240234375,
0.005279541015625,
0.0869140625,
-0.0252685546875,
-0.0203857421875,
0.0546875,
0.00469970703125,
0.0291748046875,
0.058349609375,
0.007232666015625,
-0.01953125,
0.0208740234375,
0.0238037109375,
-0.0966796875,
-0.01611328125,
0.0048828125,
0.0595703125,
0.01782226... | 17,137 | 17137 | |
Famous Matrices
16.4 Famous Matrices
The following functions return famous matrix forms.
Create interesting matrices for testing.
Create a Cauchy matrix.
Create a Chebyshev spectral differentiation matrix.
Create a Vandermonde-like matrix for the Chebyshev polynomials.
Create a Chow matrix – ... | 4 | [
-0.08056640625,
0.046630859375,
-0.14453125,
-0.03857421875,
-0.03759765625,
-0.028076171875,
-0.0279541015625,
0.020263671875,
-0.044921875,
0.0113525390625,
0.04736328125,
0.004302978515625,
0.003143310546875,
-0.01129150390625,
-0.078125,
0.015625,
0.0240478515625,
0.05249023437... | 17,138 | 17138 | |
Patent US5817950 - Flow measurement compensation technique for use with an averaging pitot tube type primary element
BACKGROUND OF THE INVENTION
The present invention relates to measurement of fluid flow. More specifically, the present invention relates to flow measurement of a process fluid using an averaging pitot t... | 4 | [
-0.08251953125,
0.01708984375,
-0.0498046875,
-0.024169921875,
-0.051513671875,
-0.0181884765625,
0.030029296875,
0.1328125,
0.064453125,
-0.040283203125,
-0.053955078125,
-0.04833984375,
0.005889892578125,
0.00823974609375,
-0.1572265625,
-0.029541015625,
-0.005889892578125,
0.071... | 17,139 | 17139 | |
The Electric Field parallel to an infinite line charge (with change in charge density
haruspex
More accurately,
[itex]E0 = ∫dq/x^2 = \frac{1}{4\pi\epsilon_0}\int_{x_0}^{\infty}\frac{λ_0x_0 dx}{x}\frac{1}{x^2}[/itex]
Note the denominator is x^3, not x^2.
ok this is the bit that confuses me.
here's what I did: E = [... | 4 | [
-0.0194091796875,
0.107421875,
-0.0245361328125,
-0.015869140625,
0.09033203125,
-0.034423828125,
0.11572265625,
-0.000013530254364013672,
0.01043701171875,
-0.010498046875,
0.09228515625,
-0.0615234375,
0.04248046875,
0.0400390625,
-0.005523681640625,
-0.021240234375,
-0.04907226562... | 17,140 | 17140 | |
Patent US5533149 - Computer based digital image noise reduction method based on overlapping planar approximation
This is a continuation of application Ser. No. 399,135, filed Aug. 28, 1989, now abandoned.
CROSS-REFERENCE TO RELATED APPLICATION
The present application is related to U.S. patent application Ser. No. 399... | 4 | [
-0.11962890625,
0.0791015625,
0.05126953125,
-0.115234375,
-0.059814453125,
-0.10595703125,
0.046875,
0.01953125,
-0.04345703125,
-0.03857421875,
-0.059326171875,
0.08349609375,
0.06787109375,
-0.064453125,
-0.09765625,
-0.0146484375,
-0.03564453125,
0.05712890625,
-0.04125976562... | 17,141 | 17141 | |
Patent US6728637 - Track model constraint for GPS position
This application claims the benefit of U.S. Provisional Application No. 60/213,684, “Locating an Object Using GPS With Additional Data,” filed on Jun. 23, 2000; and U.S. Provisional Application No.
60/295,310, “Track Model Constraint Enhancement For GPS Receive... | 4 | [
-0.06591796875,
-0.0196533203125,
-0.06640625,
-0.09423828125,
0.00133514404296875,
0.03662109375,
0.0216064453125,
0.0096435546875,
-0.000644683837890625,
-0.005126953125,
-0.0157470703125,
0.1328125,
0.09619140625,
-0.0111083984375,
-0.083984375,
-0.0478515625,
0.07373046875,
0.0... | 17,142 | 17142 | |
[Haskell-beginners] simplifying algebraic expression
Alexander.Vladislav.Popov alexander.vladislav.popov at gmail.com
Wed Sep 1 05:19:08 EDT 2010
Hi.
Please, tell me where I'm wrong and how to improve my approach.
I'm trying to simplify algebraic expressions this way:
import Data.Ratio
data Func = Const (Ratio In... | 4 | [
-0.0634765625,
0.06298828125,
0.01300048828125,
0.01055908203125,
-0.049560546875,
-0.0174560546875,
0.04052734375,
-0.005340576171875,
-0.0264892578125,
-0.054931640625,
-0.00927734375,
-0.08203125,
0.036865234375,
0.01373291015625,
0.00024318695068359375,
0.06298828125,
-0.01306152... | 17,143 | 17143 | |
Coordinate geometry questions.
February 5th 2010, 05:37 PM
NitroKnight
Coordinate geometry questions.
I have a few more questions that are giving me a hard time...
1
What is the equation of the perpendicular bisector of the line between the points (2,2) an (6,6)?
2
What is the equation of a pa... | 4 | [
-0.0186767578125,
-0.018310546875,
-0.1162109375,
-0.0771484375,
0.047607421875,
0.048583984375,
0.0003070831298828125,
0.09814453125,
0.0986328125,
-0.01519775390625,
0.10107421875,
0.0302734375,
0.01458740234375,
-0.0196533203125,
0.01055908203125,
0.06201171875,
-0.0810546875,
-... | 17,144 | 17144 | |
Lagrangian points in circular restricted three-body problem
QUESTION:
In the circular restricted 3-body problem, if we consider motion confined to the x-y plane and adopt units such that G(m[1] + m[2]) = 1 [m[1] and m[2] are the masses of the two heavy bodies], the
semimajor axis of the relative orbit of the massive bo... | 4 | [
0.0189208984375,
-0.00885009765625,
-0.017822265625,
-0.036376953125,
0.013427734375,
-0.0279541015625,
0.0296630859375,
0.027099609375,
-0.052001953125,
-0.03515625,
0.041748046875,
0.00701904296875,
-0.007171630859375,
-0.048583984375,
0.03369140625,
0.0289306640625,
0.0205078125,
... | 17,145 | 17145 | |
Help with motion of the car - Displacement
Just as a note, I'm kind of assuming in all of this that you'll be using a consistent set of units. Like meters for position and meters/second for velocity. Or feet for position and feet/second for
velocity. If you are going with something like feet and mph for units, you'll n... | 4 | [
-0.042724609375,
-0.01348876953125,
0.0390625,
-0.02783203125,
-0.0216064453125,
0.03271484375,
-0.03515625,
0.032958984375,
-0.01080322265625,
-0.0810546875,
0.0308837890625,
-0.041748046875,
0.0277099609375,
-0.0556640625,
-0.056396484375,
0.0289306640625,
-0.04638671875,
0.06494... | 17,146 | 17146 | |
calculus help - finding equation of a tangent line
October 12th 2009, 01:17 PM #1
Newbie
Joined
Oct 2009
Posts
2
prob:
Given that f(3)=-1 and f derivative(3)=5, find an equation for the tangent line to the graph of y=f(x) at x=3
the answer is y=5x-16 , but i dont know how to get there :/
any... | 4 | [
-0.09130859375,
-0.037109375,
-0.0299072265625,
-0.0849609375,
0.0284423828125,
0.03662109375,
0.0791015625,
0.029052734375,
-0.057861328125,
0.03125,
0.06689453125,
-0.11328125,
0.040771484375,
0.072265625,
0.0115966796875,
0.1787109375,
-0.0712890625,
-0.019775390625,
-0.031494... | 17,147 | 17147 | |
Modified Quasi-Steady Fuel Droplet Combustion Model
Journal of Combustion
Volume 2012 (2012), Article ID 138619, 8 pages
http://dx.doi.org/10.1155/2012/138619
Research Article
Modified Quasi-Steady Fuel Droplet Combustion Model
Department of Mechanical Engineering, University of Uyo, PMB 1017, Uyo, Akwa Ibom, Nigeri... | 4 | [
-0.05419921875,
0.0164794921875,
-0.0244140625,
0.02294921875,
0.0118408203125,
-0.047607421875,
-0.041015625,
0.041015625,
0.052734375,
-0.052734375,
-0.0625,
0.0220947265625,
-0.06396484375,
-0.04248046875,
0.034912109375,
-0.0751953125,
-0.048828125,
-0.01251220703125,
-0.0454... | 17,148 | 17148 | |
Math Help
1. March 10th 2013, 05:31 AM #1
2. March 10th 2013, 06:08 AM #2
Re: Laplace
$L\left\{\frac{1}{t}\sin(\alpha t)\right\} = \int_0^\infty e^{-st}\frac{1}{t}\sin(\alpha t) dt$
Do integration by parts with the two functions $u(t)=e^{-st}$ and $v'(t)=\frac{\sin(\alpha t)}{t}$
You ... | 4 | [
-0.059326171875,
0.049072265625,
-0.01025390625,
-0.0322265625,
0.0859375,
0.06494140625,
-0.05126953125,
-0.0303955078125,
-0.05078125,
0.01904296875,
0.05810546875,
-0.038818359375,
-0.0966796875,
0.03857421875,
-0.01519775390625,
-0.047119140625,
-0.044189453125,
-0.029418945312... | 17,149 | 17149 | |
Patent US20030200158 - Computer implemented system for determining a distribution policy for a single period inventory system, optimization application therefor, and method therefor, and decision support tool for facilitating user determination of a distribution policy for a single period inventory system
Publication ... | 4 | [
-0.099609375,
0.0087890625,
-0.054931640625,
-0.09130859375,
-0.046142578125,
0.0233154296875,
-0.038330078125,
0.08984375,
-0.05224609375,
0.08984375,
0.06884765625,
0.07568359375,
0.0245361328125,
-0.044189453125,
-0.060546875,
-0.01507568359375,
0.01324462890625,
-0.02490234375,... | 17,150 | 17150 | |
Maximums and minimums
tiny-tim
Yes, if you already have dy/dx = f(x,y), then d/dx it to get
d^2y/dx^2 = ∂/∂x(f(x,y)) + ∂/∂y(f(x,y))dy/dx
the second term will be zero, and you put the x = ^3√(8 ± etc) and y = 1/2 x^2 into the first term.
erm , that looks to be partial differentiation and i am not so familiar with ... | 5 | [
0.0208740234375,
-0.048583984375,
0.053955078125,
0.0164794921875,
-0.0274658203125,
-0.0185546875,
-0.08837890625,
0.10595703125,
0.01397705078125,
-0.0101318359375,
0.04052734375,
0.08251953125,
0.0244140625,
0.05078125,
0.0283203125,
0.03173828125,
0.0186767578125,
0.03857421875... | 17,151 | 17151 | |
The Algebra of Algebraic Data Types, Part 3
I gave a talk on this subject at London Haskell in November 2012. A video of the talk is on YouTube and slides are on GitHub. This is Part 3 in a series; you can also read Part 1 and Part 2.
Last time I described recursive types, showed how they can be written as algebraic e... | 5 | [
-0.0888671875,
0.023193359375,
0.00421142578125,
0.05029296875,
-0.072265625,
-0.043212890625,
0.06298828125,
-0.000957489013671875,
-0.013916015625,
-0.0235595703125,
-0.039794921875,
0.0703125,
-0.002288818359375,
0.05078125,
-0.03125,
0.06982421875,
0.00701904296875,
0.006378173... | 17,152 | 17152 | |
The poisson....
April 26th 2009, 06:29 AM #1
Newbie
Joined
Apr 2009
Posts
7
The poisson....
The problem as stated is Let X have a poisson distribution w/ lambda = n.
If Y= (X-n)/Sqrt(n), find the MGF for Y.
I know that M(t) for X is given by e^n((e^t)-1). I cannot figure out how to make the jum... | 5 | [
-0.01129150390625,
-0.02587890625,
0.00579833984375,
-0.0030364990234375,
-0.01239013671875,
-0.042236328125,
0.08447265625,
-0.0185546875,
0.035888671875,
0.024658203125,
0.0693359375,
0.080078125,
-0.01806640625,
0.01239013671875,
0.024169921875,
0.01708984375,
0.045166015625,
-0... | 17,153 | 17153 | |
Kinetic energy lost to an inelastic collision, Lab question
April 5th 2012, 05:42 PM #1
Kinetic energy lost to an inelastic collision, Lab question
We did the ballistic pendulum lab. Variables are defined as in the diagram. Additionally, let h = the height change in the block from rest to when it swings to its hi... | 5 | [
0.01373291015625,
0.04150390625,
0.0264892578125,
-0.01324462890625,
0.023193359375,
-0.013427734375,
-0.0155029296875,
0.08837890625,
0.035400390625,
0.00830078125,
0.09326171875,
-0.05224609375,
-0.02587890625,
-0.014404296875,
-0.04345703125,
0.072265625,
-0.013916015625,
0.0617... | 17,154 | 17154 | |
Algebra equation I'm trying to solve.
August 3rd 2011, 01:56 AM #1
Newbie
Joined
Aug 2011
Posts
3
Algebra equation I'm trying to solve.
Hi,
I have an equation that I am trying to manipulate for a website project i am working on, but my high school maths is letting me down.
I am trying to get X ... | 4 | [
-0.076171875,
0.052001953125,
0.039306640625,
0.039306640625,
0.038330078125,
-0.0693359375,
-0.06298828125,
0.03271484375,
-0.0167236328125,
-0.0233154296875,
0.049560546875,
-0.0615234375,
-0.00689697265625,
0.05029296875,
0.0040283203125,
0.0712890625,
0.042724609375,
0.0703125,... | 17,155 | 17155 | |
Circles and Standard Form
April 16th 2009, 06:38 AM #1
Newbie
Joined
Mar 2009
Posts
21
Hi! I am stuck on my homework and can't find an example in my book that looks like this problem. The directions are to put in standard form; state whther it is no graph, point graph, or a circle
graph, and sketch th... | 4 | [
-0.0673828125,
0.049560546875,
-0.0203857421875,
-0.026611328125,
0.031005859375,
-0.00421142578125,
-0.07275390625,
-0.01263427734375,
-0.034423828125,
0.0164794921875,
0.06884765625,
0.00180816650390625,
0.04150390625,
0.10107421875,
0.06298828125,
0.06396484375,
-0.0712890625,
-... | 17,156 | 17156 | |
How to calulate angle?
February 18th 2011, 03:14 PM #1
Member
Joined
Sep 2009
Posts
162
How to calulate angle?
I am working out how to solve for angles during vectors problems, and the only way I can solve for the angles is by trying all possibilities and seeing which ones is the most realistic way of
... | 4 | [
-0.01373291015625,
0.06884765625,
-0.060791015625,
-0.037353515625,
-0.04248046875,
-0.00994873046875,
-0.0225830078125,
0.07568359375,
-0.045654296875,
0.1123046875,
0.054443359375,
-0.0712890625,
0.00121307373046875,
0.054443359375,
-0.0174560546875,
0.0196533203125,
-0.0625,
0.0... | 17,157 | 17157 | |
Anatomy of a d-dimensional Rubik's Cube
These are Rubik's cubes of the form 3^d, with the original popular puzzle being 3^3. We label the puzzles like this because they are a d-dimensional cube broken into 3^d smaller pieces or "cubies" of
the same dimension. For example, the 3D cube has 3^3 or 27 total 3-dimensional c... | 4 | [
-0.022216796875,
-0.061279296875,
-0.035888671875,
0.00811767578125,
-0.019775390625,
0.006561279296875,
-0.03369140625,
-0.031982421875,
0.02490234375,
-0.0179443359375,
-0.058837890625,
-0.034423828125,
0.006805419921875,
0.0242919921875,
0.03076171875,
-0.032470703125,
-0.02319335... | 17,158 | 17158 | |
Solving for Theta
April 20th 2010, 08:28 AM #1
I got the equation
$\mu * (F \cos \theta + 9.8m) = F \sin \theta$
where $\mu$ is the coefficient of static friction, but I don't know how to solve for $\theta$ from here. I have a computer program called Maple but it can't solve the equation to anything
r... | 5 | [
-0.060546875,
-0.0135498046875,
0.0732421875,
0.0380859375,
0.016357421875,
0.0302734375,
0.0283203125,
0.091796875,
-0.0174560546875,
0.037841796875,
0.09814453125,
-0.08447265625,
-0.0208740234375,
0.0849609375,
-0.05615234375,
0.0634765625,
-0.04638671875,
0.076171875,
-0.0541... | 17,159 | 17159 | |
Tournament Tree (Winner Tree) and Binary Heap - GeeksforGeeks
Tournament Tree (Winner Tree) and Binary Heap
Given a team of N players. How many minimum games are required to find second best player?
We can use adversary arguments based on tournament tree (Binary Heap).
Tournament tree is a form of min (max) heap whi... | 4 | [
0.0311279296875,
0.0810546875,
-0.0257568359375,
-0.06787109375,
0.00909423828125,
0.029541015625,
0.033447265625,
0.050048828125,
0.01434326171875,
0.054443359375,
-0.1572265625,
-0.03857421875,
0.111328125,
0.01141357421875,
-0.01177978515625,
0.0478515625,
0.008544921875,
0.0008... | 17,160 | 17160 | |
Timing attack resistant cryptographic system - Patent # 7020281 - PatentGenius
Timing attack resistant cryptographic system
7020281 Timing attack resistant cryptographic system
Patent ... | 4 | [
-0.09814453125,
0.076171875,
-0.04443359375,
-0.0303955078125,
-0.0703125,
-0.0038299560546875,
0.04443359375,
0.052490234375,
0.04443359375,
0.00640869140625,
0.042724609375,
0.060302734375,
0.043212890625,
-0.031005859375,
-0.10205078125,
-0.0076904296875,
0.01495361328125,
-0.03... | 17,161 | 17161 | |
Trigonometric problem
December 4th 2012, 05:44 AM #1
Newbie
Joined
Dec 2012
From
Europe
Posts
1
Trigonometric problem
Hey I need help with a problem regarding a septangular.
In a regular septangular there are two diagonals with 2 different lengths. How long is the longer one if the shorter one i... | 4 | [
-0.00323486328125,
0.091796875,
0.0201416015625,
-0.0654296875,
-0.0185546875,
-0.0289306640625,
-0.1083984375,
0.0186767578125,
-0.045654296875,
0.017822265625,
0.00836181640625,
-0.06396484375,
-0.07275390625,
0.0081787109375,
0.02490234375,
0.0000171661376953125,
-0.02099609375,
... | 17,162 | 17162 | |
Patent US20080117106 - Emitter Geolocation
FIELD OF THE INVENTION
The present invention relates to a method and means of locating the position of an emitter of electromagnetic waves by means of a plurality of receivers.
BACKGROUND OF THE INVENTION
Systems are well known for computing position information of a ground... | 4 | [
0.02197265625,
-0.01904296875,
-0.052490234375,
-0.06689453125,
-0.024169921875,
-0.0703125,
0.0289306640625,
0.072265625,
-0.000576019287109375,
-0.026123046875,
0.018310546875,
0.039306640625,
0.01116943359375,
-0.033447265625,
0.01068115234375,
-0.0081787109375,
-0.02587890625,
... | 17,163 | 17163 | |
A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 413529, 12 pages
http://dx.doi.org/10.1155/2013/413529
Research Article
A Modified Generalized Laguerre Spectral Method for Fractional Differential Equati... | 5 | [
-0.07373046875,
-0.0042724609375,
0.0751953125,
0.0291748046875,
0.031005859375,
0.0045166015625,
-0.07373046875,
0.0252685546875,
-0.00787353515625,
0.02587890625,
0.045654296875,
-0.025146484375,
-0.0634765625,
0.03125,
0.0299072265625,
-0.0233154296875,
-0.03857421875,
-0.038330... | 17,164 | 17164 | |
Patent US6389372 - System and method for bootstrapping a collaborative filtering system
FIELD OF THE INVENTION
This invention relates generally to automatic collaborative filtering systems for predicting a user's level of interest in new information, and more particularly to a system and method of
bootstrapping or col... | 4 | [
-0.09033203125,
-0.0284423828125,
-0.058349609375,
0.025146484375,
0.05908203125,
0.0247802734375,
0.050537109375,
0.042236328125,
-0.07421875,
-0.04443359375,
-0.01531982421875,
0.06396484375,
0.09716796875,
0.017333984375,
-0.06298828125,
-0.01434326171875,
0.01422119140625,
-0.0... | 17,165 | 17165 | |
Patent US5144254 - Dual synthesizer including programmable counters which are controlled by means of calculated input controls
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to frequency synthesizers and more particularly to such a synthesizer which is capable of being programmed or set ... | 4 | [
-0.044921875,
0.0191650390625,
-0.1240234375,
-0.02490234375,
-0.10986328125,
0.0118408203125,
-0.0206298828125,
0.060791015625,
-0.00640869140625,
-0.015625,
-0.05859375,
-0.006561279296875,
0.08056640625,
-0.1259765625,
-0.023681640625,
0.0225830078125,
0.036376953125,
0.05712890... | 17,166 | 17166 | |
New Friction Problem
In your second case, the maximum force exerted by the truck will be the
tire coefficient of friction
times the weight portion of the truck on the driven wheels (hence, if it is a 4WD, the total weight of the truck).
For example, tires on gravel (CoF = 0.60) with a 2WD truck weight 4000 lb and 45... | 4 | [
0.0264892578125,
0.0015411376953125,
0.015869140625,
-0.0164794921875,
-0.005584716796875,
-0.01708984375,
-0.044921875,
0.1005859375,
-0.0169677734375,
0.087890625,
-0.005126953125,
0.08056640625,
0.0732421875,
0.05029296875,
-0.00775146484375,
0.1171875,
0.11865234375,
0.05957031... | 17,167 | 17167 | |
Derivative using limit definition and line tangent to graph
December 11th 2013, 08:51 PM #1
Junior Member
Joined
Mar 2013
From
Unreals
Posts
44
Derivative using limit definition and line tangent to graph
Hi!
Apparently I made mistakes when solving this, could I be helped in spotting the errors p... | 5 | [
0.0013427734375,
0.004791259765625,
0.05029296875,
-0.011962890625,
0.04150390625,
-0.0034332275390625,
-0.041748046875,
0.042236328125,
-0.029052734375,
0.031982421875,
0.12890625,
-0.03564453125,
-0.00159454345703125,
-0.018310546875,
-0.05517578125,
0.047607421875,
-0.06640625,
... | 17,168 | 17168 | |
Add subtract polynomials, Multiplying with monomials
February 28th 2007, 06:00 PM #1
Newbie
Joined
Feb 2007
Posts
4
Add subtract polynomials, Multiplying with monomials
Im having trouble with three problems.
1.Simplify (-5b*3x)*4.
I got 626b*7x*4
2. Simplify -2x(x-3) + x(5-x).
3. Mul... | 4 | [
-0.06787109375,
0.027587890625,
0.00506591796875,
-0.027099609375,
-0.044189453125,
0.050537109375,
0.0390625,
-0.04150390625,
-0.103515625,
0.0220947265625,
0.0225830078125,
-0.12060546875,
0.0712890625,
-0.04345703125,
0.041259765625,
0.11474609375,
-0.0947265625,
0.0118408203125... | 17,169 | 17169 | |
my last question-infinite number of primes
Please see the " Microsoft word" attachement. Thank you very much.
The sum, $\sum_p \frac{1}{p}$ Diverges. I will quote Wikipedia while doing this. This is the only proof I am familar with (I know there are many). ---- You need to be familar with the Zeta function,
$\zeta (s)... | 5 | [
-0.053955078125,
-0.06591796875,
-0.015869140625,
0.0517578125,
0.0654296875,
0.0096435546875,
0.06591796875,
0.09521484375,
0.056884765625,
-0.038818359375,
-0.130859375,
0.064453125,
0.115234375,
-0.0294189453125,
-0.0810546875,
-0.07275390625,
0.036376953125,
-0.04345703125,
-... | 17,170 | 17170 | |
Physics Exercises/Conservation of Linear Momentum
ExercisesEdit
conservation of linear momentum and recoil velocity=== A motionless catapult was aimed horizontally and fired a 10.0 kg wood block due west at 50 m/s. If the catapult's mass was 250 kg, what is the
recoil velocity of the catapult if friction is ignored?
... | 4 | [
0.078125,
0.0478515625,
0.0166015625,
-0.0390625,
0.0028228759765625,
-0.00579833984375,
-0.043212890625,
0.0361328125,
-0.003021240234375,
0.08935546875,
0.072265625,
-0.052734375,
-0.015625,
0.007232666015625,
-0.07421875,
0.037353515625,
-0.0152587890625,
0.0869140625,
-0.0015... | 17,171 | 17171 | |
Inverse Laplace Transfrom - Taylor Series/Asymptotic Series?!
1. The problem statement, all variables and given/known data
W(x,s)=(1/s)*(sinh(x*s^0.5))/(sinh(s^0.5))
Find the inverse laplace transform of W(x,s), i.e. find w(x,t).
Answer:
w(x,t)= x + Ʃ ((-1)^n)/n) * e^(-t*(n*pi)^2) * sin(n*pi*x)
summing between fro... | 5 | [
-0.10693359375,
0.011962890625,
-0.0052490234375,
0.08447265625,
0.052490234375,
-0.028564453125,
-0.0390625,
-0.020263671875,
0.00823974609375,
-0.034912109375,
0.03857421875,
-0.04248046875,
0.0166015625,
-0.050537109375,
-0.078125,
-0.00004410743713378906,
0.046630859375,
-0.100... | 17,172 | 17172 | |
Optimization Problem
April 9th 2008, 04:01 PM #1
Newbie
Joined
Apr 2008
Posts
7
Optimization Problem
this is a rectangle area optimization problem:
A farmer wants to enclose a rentangular area with a fence. He would like the fence to be as inexpensive as possible. Assume the fencing material cost $1... | 5 | [
0.035888671875,
0.07421875,
0.0164794921875,
0.0361328125,
-0.00153350830078125,
-0.017578125,
-0.0419921875,
0.08740234375,
-0.04638671875,
0.08447265625,
0.022216796875,
-0.000873565673828125,
0.107421875,
0.11328125,
-0.00543212890625,
0.16796875,
0.0230712890625,
-0.00027275085... | 17,173 | 17173 | |
lebesgue integration
November 25th 2008, 12:23 AM #1
Newbie
Joined
Nov 2008
Posts
1
lebesgue integration
i have exams on this course coming up in two days (i should probably write this post earlier). i was hoping to read more and try to find a solution myself but unfortunately failed.
let f be a posi... | 5 | [
-0.06640625,
0.0137939453125,
0.048828125,
-0.0019378662109375,
0.078125,
0.05810546875,
0.051513671875,
0.08056640625,
-0.041015625,
-0.0177001953125,
-0.047607421875,
-0.0021820068359375,
0.03955078125,
0.0279541015625,
-0.0830078125,
-0.119140625,
0.05224609375,
-0.05712890625,
... | 17,174 | 17174 | |
Legendre symbol proof for (-5/p)
I am working on some homework that I already handed in, but I cant get one of the problems. The fourth problem on the HW was to prove the forms of (-1/p), (2/p), (3/p), (-5/p), and (7/p).
I did this for -1 and 2 using the quadratic residues and generalizing a form for them. for 3 and 7... | 5 | [
-0.07275390625,
0.052978515625,
0.1171875,
-0.036865234375,
-0.00848388671875,
0.0322265625,
0.061279296875,
0.05029296875,
-0.004241943359375,
0.0242919921875,
0.0206298828125,
0.040283203125,
-0.0201416015625,
0.0791015625,
-0.046630859375,
-0.045166015625,
-0.061767578125,
-0.00... | 17,175 | 17175 | |
Calculus Help Please!
January 27th 2009, 01:43 AM
juicysharpie
Calculus Help Please!
I'm studying for a test, and I don't understand how to do this problem. Could anyone help me?
Find the derivative dy/dx if y equals the integral from sin(x) to 5 of 1/u^3 du. Be sure to show your work and give the statement... | 5 | [
-0.10693359375,
0.0311279296875,
0.08251953125,
0.0059814453125,
0.07470703125,
-0.060791015625,
0.01214599609375,
-0.076171875,
-0.03662109375,
0.017333984375,
0.058837890625,
0.0264892578125,
-0.031005859375,
0.020751953125,
-0.01287841796875,
0.033447265625,
-0.0036773681640625,
... | 17,176 | 17176 | |
Drug Dosage Modeling
April 30th 2011, 01:14 PM #1
Junior Member
Joined
Oct 2010
Posts
57
Drug Dosage Modeling
Hopefully this is the right forum for this. I'm going over a Math Modeling book which is dealing with drug dosage modeling and i'm having trouble figuring out how they reached the following
c... | 4 | [
-0.076171875,
0.0291748046875,
-0.00946044921875,
0.05712890625,
-0.029052734375,
-0.001190185546875,
0.017578125,
0.06884765625,
0.052734375,
0.07958984375,
0.0673828125,
-0.07421875,
0.09521484375,
0.06591796875,
-0.10205078125,
-0.054443359375,
0.042236328125,
-0.0242919921875,
... | 17,177 | 17177 | |
A Level Maths part2
:eek: really having touble with all that need urgent help!!! regards,
1) a geometric series is one of the form: $\sum_{n=1}^{\infty} ar^{n-1}$ where a is the first term, r is the common ratio and n is the current number of the term. a) we are given that the second term
is 80, $\Rightarrow ar = 80$ ... | 4 | [
-0.03076171875,
0.08251953125,
-0.0198974609375,
-0.010986328125,
-0.036865234375,
-0.05078125,
0.0218505859375,
-0.0147705078125,
0.0026397705078125,
0.054443359375,
0.02001953125,
-0.00469970703125,
0.012451171875,
0.0859375,
-0.01434326171875,
0.047119140625,
-0.1015625,
-0.0173... | 17,178 | 17178 | |
Part of an eigenvector problem...
January 16th 2011, 03:31 AM
Glitch
Part of an eigenvector problem...
Upon solving an eigenvector problem, I've been summoned to find the kernel of the following matrix:
$\[<br /> \left( {\begin{array}{cc}<br /> -1-\sqrt{3}i & 2i \\<br /> 2i & 1-\sqrt{3}i \\<br /> \end{array... | 4 | [
-0.0615234375,
-0.031494140625,
-0.0771484375,
-0.0108642578125,
0.009521484375,
-0.072265625,
-0.04296875,
-0.058349609375,
0.002532958984375,
-0.0216064453125,
0.046630859375,
-0.0810546875,
0.0018157958984375,
-0.0076904296875,
-0.0299072265625,
0.00421142578125,
-0.033447265625,
... | 17,179 | 17179 | |
Diffusion equation with an external force
I thought I would do a little physics for fun, since it has been over 20 years since I last did any. I picked up Sethna's Stat Mech book. He gives a derivation of the diffusion equation that goes as
follows:
A particle makes random steps, ie x(t+Δt)=x(t) + l(t). The steps l(t)... | 4 | [
-0.091796875,
-0.045654296875,
0.07177734375,
-0.0037689208984375,
0.06494140625,
0.04443359375,
0.0301513671875,
0.0228271484375,
-0.006103515625,
0.0908203125,
0.095703125,
-0.0091552734375,
0.0751953125,
0.02880859375,
-0.00970458984375,
-0.034423828125,
-0.045166015625,
-0.1000... | 17,180 | 17180 | |
really easy cancel I can't do!
May 5th 2008, 04:03 AM #1
really easy cancel I can't do!
Im not sure how to times through by 3/3 on the bottom
(2/3) / (1+(2/3)^2)^0.5
trying to get 2/(9+4x^2)^0.5 If somebody could show me how that'd be much appreciated
I'm sure you mean the following:
$\frac{ \... | 4 | [
0.0556640625,
-0.021728515625,
0.039306640625,
0.09326171875,
-0.0257568359375,
-0.0546875,
-0.01806640625,
0.0211181640625,
0.0849609375,
0.050537109375,
0.03955078125,
-0.051513671875,
0.002227783203125,
0.0238037109375,
-0.08203125,
0.050537109375,
-0.05224609375,
0.095703125,
... | 17,181 | 17181 | |
Evaluating Limits
January 16th 2011, 06:04 AM
Hockey_Guy14
Evaluating Limits
Evaluate the following limits:
a). Attachment 20456
I cant seem to figure out how to evaluate this and what the answer is, I thought it would be infinite or does not exist but thats not correct. Any help?
b)Attachment 204... | 4 | [
-0.037353515625,
0.0296630859375,
-0.072265625,
0.107421875,
0.040771484375,
-0.0198974609375,
-0.0089111328125,
-0.06689453125,
0.049560546875,
-0.042236328125,
0.0078125,
-0.042236328125,
0.038330078125,
0.087890625,
0.03173828125,
0.054443359375,
-0.052490234375,
-0.02783203125,... | 17,182 | 17182 | |
Functional problem
February 25th 2010, 05:39 AM #1
Newbie
Joined
Feb 2010
Posts
11
Functional problem
Let $V=R_n[x]$ and $\alpha_i(p)=p^i(0)$ be a functional over $V$( $p^i$ is the number i derivative of p)
Show that $\{\alpha_i\}_\forall\i$ is a basis of a dual space $V^*$
What I first should d... | 4 | [
-0.01177978515625,
-0.0228271484375,
0.03857421875,
0.034423828125,
-0.0322265625,
0.11474609375,
0.12890625,
-0.01336669921875,
-0.0400390625,
-0.00665283203125,
-0.0172119140625,
0.0030059814453125,
-0.057373046875,
-0.00201416015625,
0.0026702880859375,
0.0296630859375,
-0.0187988... | 17,183 | 17183 | |
Population Question
March 18th 2010, 09:25 PM #1
Newbie
Joined
Mar 2010
Posts
6
Population Question
A population, $P$, is said to be growing logistically if the time, $T$, taken for it to increase from $P_1$ and $P_2$ is given by:
$T=\int_{P_1}^{P_2} \frac {kdP}{P(L-P)}$
where $k$ and $L$ are p... | 5 | [
-0.02880859375,
-0.01904296875,
0.0771484375,
-0.024658203125,
0.0252685546875,
-0.06494140625,
-0.015625,
0.08203125,
-0.02099609375,
0.059814453125,
0.0859375,
-0.0498046875,
-0.0017852783203125,
0.01202392578125,
0.01495361328125,
0.026123046875,
-0.053466796875,
-0.059326171875... | 17,184 | 17184 | |
unique von neumann inverse in rings
December 15th 2011, 07:02 AM
ymar
unique von neumann inverse in rings
In von Neumann regular rings every element has a von Neumann inverse. Are there many rings in which these inverses are unique for non-zero elements? Are there any such domains that are not skew
fields? A... | 5 | [
-0.04296875,
-0.0361328125,
-0.0751953125,
-0.00115966796875,
-0.0177001953125,
-0.08251953125,
-0.01165771484375,
-0.037841796875,
0.033447265625,
-0.12890625,
0.0303955078125,
-0.0308837890625,
0.0830078125,
-0.027587890625,
-0.024658203125,
0.004669189453125,
-0.0240478515625,
-... | 17,185 | 17185 | |
Quick Question regarding Matrices.
February 18th 2009, 02:50 AM #1
Quick Question regarding Matrices.
Inverting and solving equations
Code:
1 -2 1
3 1 2
-1 4 1
Find the inverse of that matrix, hence solve the following
x-2y+z=1
I have 2 more equations to solve, but I just n... | 5 | [
-0.1318359375,
-0.010986328125,
-0.039794921875,
-0.0274658203125,
0.06396484375,
-0.11181640625,
-0.01409912109375,
-0.027099609375,
-0.07861328125,
0.0203857421875,
0.056396484375,
0.033203125,
0.0439453125,
-0.055419921875,
-0.07958984375,
0.0264892578125,
-0.076171875,
0.009460... | 17,186 | 17186 | |
A relativistic quantum theory of gravity
yogi
I dont know how you arrived at the conclusion that inertial transforms depend upon the source velocity. Selleri takes the position that the velocity of light is c in free space - his transforms avoid
the postulate of one way light velocity - he embraces the proven part o... | 4 | [
-0.1083984375,
-0.006683349609375,
0.064453125,
0.051513671875,
-0.0106201171875,
0.0196533203125,
-0.0255126953125,
-0.00115966796875,
0.04931640625,
-0.045166015625,
0.0869140625,
-0.0247802734375,
-0.032958984375,
-0.050537109375,
-0.05029296875,
0.044189453125,
0.072265625,
0.1... | 17,187 | 17187 | |
Solving a Differential Equation
Register to reply
by gmmstr827
Tags: differential, equation, solving
P: 86 1. The problem statement, all variables and given/known data
Solve:
2 ... | 5 | [
-0.05908203125,
-0.0654296875,
0.08056640625,
0.053955078125,
0.0296630859375,
-0.049072265625,
-0.04638671875,
0.0128173828125,
-0.016845703125,
-0.02197265625,
0.08056640625,
-0.056640625,
-0.005035400390625,
0.0322265625,
0.0019989013671875,
-0.0184326171875,
0.0026702880859375,
... | 17,188 | 17188 | |
Linear Algebra Proof - Prove that when A+D=0, D is unique.
September 3rd 2007, 10:14 AM
Fourier
Linear Algebra Proof - Prove that when A+D=0, D is unique.
I need to prove that for each $m \times n$ matrix A, there exists a unique $m \times n$ matrix D such that A+D=O. Where O is the $m \times n$ zero matrix.
... | 4 | [
-0.09912109375,
-0.0174560546875,
-0.0002918243408203125,
-0.03515625,
-0.0206298828125,
-0.000659942626953125,
0.027099609375,
-0.08837890625,
0.036376953125,
0.0546875,
0.1171875,
0.058837890625,
0.0012969970703125,
-0.041259765625,
-0.0098876953125,
0.091796875,
0.041259765625,
... | 17,189 | 17189 | |
Concavity and Points of Inflection!
July 5th 2009, 04:36 PM #1
Junior Member
Joined
May 2009
Posts
47
Concavity and Points of Inflection!
Have a few questions guys
1. Test $f(x)=5x^4-9x^3+3$ for concavity and inflection points.
**So, to find the inflection points, I know I need to apply the 2n... | 4 | [
0.0169677734375,
-0.025146484375,
-0.00122833251953125,
-0.0308837890625,
-0.017578125,
0.0133056640625,
0.026611328125,
0.04248046875,
0.00299072265625,
0.032470703125,
0.041748046875,
-0.0517578125,
0.1044921875,
0.017578125,
0.0198974609375,
0.040771484375,
0.01153564453125,
-0.... | 17,190 | 17190 | |
Square numbers problem solving
March 14th 2010, 04:18 AM #1
Member
Joined
Oct 2009
Posts
107
Thanks
2
Square numbers problem solving
Hello MHF,
Which of the following cannot be the last digit of the sum of the squares of seven consecutive numbers?
A: 3
B:5
C:6
D:7
E:8
I ha... | 4 | [
-0.0311279296875,
0.05126953125,
0.08056640625,
-0.04931640625,
-0.048095703125,
0.1337890625,
-0.0264892578125,
0.0174560546875,
-0.04443359375,
0.00189208984375,
-0.06005859375,
0.022216796875,
-0.00909423828125,
0.0272216796875,
-0.12255859375,
-0.048828125,
-0.04541015625,
0.00... | 17,191 | 17191 | |
Back to Algebra (and Problem Solving in math)
Welcome to PF;
Most of us know that algebraic manipulations in integral calculus and differential equations are (usually) more difficult that the integral and differential "operations," simply because many of these
manipulations require stokes of genius, mathematical matur... | 4 | [
-0.06982421875,
0.00083160400390625,
0.10595703125,
0.005218505859375,
0.00921630859375,
-0.042724609375,
0.03466796875,
-0.0244140625,
0.05078125,
0.023681640625,
0.09423828125,
-0.0103759765625,
0.00848388671875,
0.07470703125,
-0.020263671875,
-0.044921875,
-0.0238037109375,
0.0... | 17,192 | 17192 | |
Induction for postage stamps
May 5th 2010, 07:16 AM #1
Junior Member
Joined
Sep 2009
Posts
47
Induction for postage stamps
I've read a few articles but its not doing the trick.
can you show step by step how a postage of 12 cents or more can be formed using 4 cents and 5 cents stamps
Ah, you're ... | 5 | [
-0.017333984375,
0.08544921875,
0.0185546875,
-0.072265625,
0.005279541015625,
-0.0291748046875,
0.05078125,
0.03515625,
-0.056396484375,
0.00347900390625,
0.0020599365234375,
0.018310546875,
0.039794921875,
0.01416015625,
-0.060302734375,
-0.003631591796875,
-0.03076171875,
0.0527... | 17,193 | 17193 | |
Line Integral
May 3rd 2010, 05:37 AM #1
Junior Member
Joined
Oct 2009
Posts
48
Line Integral
Evaluate the integral: (x + y)dx + ( y - x)dy as a line integral
where
G is the path, from (1,1) to (4,2), described by a straight line: 3y - x = 2
I tried using green's theorem but I don't thi... | 4 | [
-0.08203125,
0.002838134765625,
0.00160980224609375,
-0.08056640625,
0.03466796875,
0.0289306640625,
-0.0185546875,
0.0103759765625,
-0.080078125,
0.0223388671875,
-0.04052734375,
-0.015625,
-0.01055908203125,
-0.03369140625,
0.0263671875,
0.048828125,
-0.0712890625,
-0.02026367187... | 17,194 | 17194 | |
Factorising a complicated expression
January 13th 2009, 10:44 PM #1
Member
Joined
Jan 2009
From
earth
Posts
167
thanks. how about this?
factor completely
y^2(x^4-z^4) - x^2(y^4-z^4) +z^2(y^4-x^4)
i really have a hard time in factoring long expressions. is there any technique? thanks
i... | 4 | [
0.0255126953125,
0.04833984375,
0.01104736328125,
0.00396728515625,
0.000926971435546875,
0.006256103515625,
-0.01446533203125,
-0.032958984375,
-0.10986328125,
-0.056884765625,
-0.0079345703125,
0.0286865234375,
0.03857421875,
0.078125,
-0.0220947265625,
0.0966796875,
-0.04736328125... | 17,195 | 17195 | |
arithmentic sequence problem
October 20th 2008, 04:39 AM #1
Newbie
Joined
Oct 2008
From
Perth, Australia (i.e desert land)
Posts
13
arithmentic sequence problem
hello
here's the question I need a hand with, it's about arithmetic progressions:
Find the first three terms of an arithmetic sequ... | 4 | [
-0.052490234375,
-0.009033203125,
0.07080078125,
-0.1455078125,
-0.05859375,
0.041748046875,
-0.07568359375,
-0.03857421875,
-0.0208740234375,
0.06396484375,
0.057861328125,
-0.000766754150390625,
-0.02734375,
-0.0517578125,
-0.0159912109375,
-0.035888671875,
-0.045166015625,
0.008... | 17,196 | 17196 | |
Math Help
January 31st 2009, 06:01 PM #1
Junior Member
Joined
Dec 2008
From
America, Ohio
Posts
32
derivatives
Hi,
Q1.
a) At what rate is the radius of a spherical balloon changing at the time that the radius is 10cm, if air is being pumped in at a rate of 40 cm^3 s^-1 ?
b) Find an exp... | 4 | [
-0.0294189453125,
0.0296630859375,
-0.02197265625,
-0.0181884765625,
0.080078125,
-0.000023126602172851562,
-0.003753662109375,
0.04638671875,
-0.05419921875,
0.035400390625,
0.0439453125,
-0.01263427734375,
0.01544189453125,
0.111328125,
0.0400390625,
0.01458740234375,
-0.0422363281... | 17,197 | 17197 | |
Fisher's Exact Test
Description:
See documentation with the code.
Note that the code computes factorials in only one place, the internal subroutine _single_term, which computes the hypergeometric probability function for a 2 x 2 contingency table (specified through
its cell values, a, b, c, and d). Furthermore, the o... | 4 | [
-0.01348876953125,
-0.12109375,
-0.0224609375,
-0.08056640625,
-0.0308837890625,
-0.0712890625,
-0.0198974609375,
0.0341796875,
-0.10693359375,
0.037109375,
0.046630859375,
-0.130859375,
-0.10498046875,
-0.04150390625,
0.043212890625,
0.024169921875,
0.0654296875,
0.006988525390625... | 17,198 | 17198 | |
An inequality from Alex Lupas
If possible, find two positive integers $m,n$ such that: $8\pi - 2 < m \pi - n < e^{\pi}.$
Do you exactly want the numbers or prove existence of them? If you want the existence, for any $\lambda\in\mathbb{R}\backslash\mathbb{Q}$ the set $S:=\{m\lambda+n:m,n\in\mathbb{Z}\}$ is dense in $\
... | 5 | [
-0.0250244140625,
0.03125,
-0.03369140625,
0.05908203125,
-0.07666015625,
0.1376953125,
0.0595703125,
0.07861328125,
0.0191650390625,
-0.08349609375,
-0.059326171875,
0.013671875,
0.0654296875,
0.050537109375,
0.0654296875,
-0.09765625,
0.123046875,
-0.07763671875,
0.001106262207... | 17,199 | 17199 |