content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
bayesianbiologist
I’ve been showing my new favourite toys to just about anyone foolish enough to actually engage me in conversation. I described how my shiny new set of non-transitive dice work here, complete with a
map showing all the relevant probabilities.
All was neat and tidy and wonderful until fellow ecologist,... | 5 | [
-0.0380859375,
-0.0615234375,
0.05078125,
-0.00433349609375,
-0.01025390625,
-0.06298828125,
-0.0111083984375,
0.00897216796875,
-0.005401611328125,
0.040771484375,
0.02099609375,
-0.05615234375,
0.061767578125,
-0.03662109375,
-0.04443359375,
0.05078125,
-0.080078125,
-0.0625,
-... | 8,100 | 8100 | |
Function analysis
If g(x-1)= x^(2) + 2, then g(x)=? Answer = x^(2) + 2x + 3 Thanks for the help
Let's define f(x) = g(x - 1) = x^2 + 2. Then what is f(x + 1)?
Yet another approach: given g(x- 1)= x^2+ 2, let y= x- 1 so that x= y+ 1. Then g(x- 1)= g(y)= (y+ 1)^2+ 2= y^2+ 2y+ 3. And, of course, it follows that g(x)= x^... | 4 | [
-0.052734375,
0.0400390625,
-0.027587890625,
0.034423828125,
-0.01153564453125,
0.021728515625,
0.00482177734375,
-0.04931640625,
0.0142822265625,
-0.014892578125,
0.0235595703125,
-0.0419921875,
-0.003997802734375,
-0.0146484375,
-0.0693359375,
-0.026611328125,
-0.03515625,
-0.014... | 8,101 | 8101 | |
Solving an Ornstein-Uhlenbeck-like SDE $y(t,T)=H_t + \mathbb{E}[\int_t^T y(s-,T)dX_s|\mathcal{F}_t]$
up vote 1 down vote favorite
I have asked a similar question involving some finance background some time ago here math.stackexchange, however no really good answer came up. I was able to find a solution at least for a ... | 5 | [
-0.078125,
-0.0169677734375,
0.057861328125,
-0.01904296875,
0.08935546875,
0.01129150390625,
0.027099609375,
0.04931640625,
-0.0203857421875,
0.05224609375,
-0.06494140625,
0.037841796875,
-0.0042724609375,
0.0111083984375,
0.02978515625,
0.03662109375,
0.033203125,
0.003646850585... | 8,102 | 8102 | |
Convergence of a series
May 23rd 2010, 07:12 AM #1
Member
Joined
May 2009
Posts
86
Convergence of a series
I have a doubt in the following problem.
Determine if the following series converges or diverges. If it converges determine its sum.
It is given that the general formula for the partial s... | 4 | [
-0.0966796875,
0.013916015625,
0.03369140625,
0.064453125,
-0.07275390625,
-0.0174560546875,
0.00909423828125,
-0.005615234375,
0.046142578125,
-0.07421875,
-0.04736328125,
-0.0419921875,
0.0419921875,
0.038818359375,
-0.045166015625,
0.00750732421875,
0.06689453125,
-0.09619140625... | 8,103 | 8103 | |
Why differentiation and integration is impossible with angle expressed in degrees?
October 14th 2008, 05:20 AM #1
Why is differentiation and integration impossible with the angle expressed in degrees? Why the angle have to be expressed in radians?
I have wondered about this my whole... time doing those differe... | 5 | [
-0.0478515625,
0.00811767578125,
-0.03955078125,
0.06689453125,
0.048828125,
0.000736236572265625,
-0.0118408203125,
0.0172119140625,
0.06884765625,
0.0546875,
0.068359375,
-0.0152587890625,
0.04345703125,
0.0135498046875,
0.037841796875,
-0.11962890625,
-0.057861328125,
0.05517578... | 8,104 | 8104 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Math Forum » Discussions » Policy and News » geometry.ann... | 4 | [
-0.1083984375,
0.022705078125,
0.0091552734375,
-0.05810546875,
-0.07373046875,
-0.07470703125,
-0.0206298828125,
0.060791015625,
0.01025390625,
0.0625,
-0.0172119140625,
0.00970458984375,
0.01153564453125,
0.0181884765625,
0.0093994140625,
-0.018310546875,
-0.0888671875,
0.0327148... | 8,105 | 8105 | |
VSWR
Click here to go to our VSWR calculator
Click here to learn about VSWR problems in medical applications (new for September 2011!)
Click here to learn abour designing for high peak power (also new for September 2011!)
Click here to learn about Microwave101's reflection coefficient "Sniffer" circuit
Click here t... | 4 | [
-0.08935546875,
0.042724609375,
0.0810546875,
0.034912109375,
0.0341796875,
-0.046142578125,
-0.07861328125,
0.12060546875,
-0.0419921875,
-0.05224609375,
-0.01348876953125,
-0.0771484375,
0.044921875,
0.0390625,
-0.01239013671875,
-0.010009765625,
0.04052734375,
-0.01214599609375,... | 8,106 | 8106 | |
show that there exists an increasing function
October 11th 2011, 05:08 PM
wopashui
show that there exists an increasing function
Let D denote the set of rationals in [0,1] and suppose that f: D--> R is increasing. show that there is an increasing function g:[0,1]-->R such that g(x)=f(x) whenever x is rational.
... | 4 | [
-0.036376953125,
-0.020751953125,
0.06298828125,
-0.0439453125,
-0.052490234375,
0.01318359375,
0.0751953125,
0.0021514892578125,
-0.00872802734375,
0.004791259765625,
-0.0986328125,
0.058349609375,
0.053955078125,
0.0810546875,
0.0283203125,
-0.057373046875,
0.05810546875,
-0.0551... | 8,107 | 8107 | |
trigo indentity
August 4th 2007, 07:08 PM #1
Newbie
Joined
Aug 2007
Posts
2
trigo indentity
pls help me with this question, been working on it for quite some time but still can't figure it out:
Given cosecA+cotA=3, evaluate cosecA-cotA and cosA.
$\frac{1}{\sin A}+\frac{\cos A}{\sin A} = 3$
... | 4 | [
-0.09033203125,
0.0247802734375,
-0.04052734375,
0.017578125,
-0.0751953125,
0.043212890625,
-0.029052734375,
-0.0247802734375,
0.0849609375,
0.09033203125,
0.0225830078125,
-0.1357421875,
-0.01025390625,
-0.0120849609375,
0.0225830078125,
-0.080078125,
-0.01434326171875,
0.0001525... | 8,108 | 8108 | |
Prove these two GCD (greatest common divisor)
January 10th 2010, 03:37 PM #1
Newbie
Joined
Jan 2010
Posts
9
Prove these two GCD (greatest common divisor)
Hi, thanks for taking the time to look in this thread. Here are the GCD (great common divisior) questions that need proof:
1. Let a and b be inte... | 4 | [
-0.04443359375,
0.04248046875,
-0.00138092041015625,
-0.09375,
0.0289306640625,
0.0235595703125,
0.0986328125,
0.0142822265625,
-0.0888671875,
0.013916015625,
-0.0247802734375,
0.00506591796875,
0.002593994140625,
0.0203857421875,
0.0146484375,
0.0087890625,
0.0125732421875,
-0.012... | 8,109 | 8109 | |
Find the minimum distance between the curves
September 12th 2009, 11:29 PM #1
Newbie
Joined
Sep 2009
Posts
8
Find the minimum distance between the curves
Find the minimum distance between the curves y^2 = x-1 and x^2 = y-1
Please tell the procedure, how to solve this?
Thanks
For this parti... | 5 | [
0.024658203125,
-0.044921875,
-0.00616455078125,
-0.05078125,
-0.0130615234375,
0.0027008056640625,
-0.051025390625,
0.138671875,
0.0093994140625,
-0.0751953125,
0.01495361328125,
0.04541015625,
0.035400390625,
0.059814453125,
-0.047119140625,
0.0234375,
0.027099609375,
-0.08251953... | 8,110 | 8110 | |
Another Derivative of a Sin Function Problem
October 13th 2009, 06:39 AM #1
Member
Joined
Oct 2009
Posts
79
Another Derivative of a Sin Function Problem
Let f(x)= 9sin(x+π) + cos2x
a) Find f'(x)
b) Find f''(x)
c) Find f'''(x)
Would the first derivative be this equation?
f'(x)= 9 * ... | 5 | [
-0.10546875,
-0.0115966796875,
0.020751953125,
-0.01275634765625,
-0.051025390625,
0.10595703125,
-0.003692626953125,
0.01080322265625,
-0.008544921875,
0.02392578125,
0.1220703125,
-0.0712890625,
0.00110626220703125,
0.006134033203125,
0.031494140625,
-0.0751953125,
-0.0150756835937... | 8,111 | 8111 | |
Integrals
July 16th 2008, 07:47 PM #21
July 16th 2008, 07:44 PM #20
July 16th 2008, 07:42 PM #19
July 16th 2008, 07:37 PM #18
July 16th 2008, 07:33 PM #17
July 16th 2008, 07:32 PM #16
Yeah I did that integral already ^^ But this one website says that the answer is $\ln\left(\frac{b}{a}\right)$. Anyone know why?
... | 5 | [
-0.03515625,
-0.06494140625,
0.0035552978515625,
-0.060791015625,
0.0390625,
0.004180908203125,
-0.00022029876708984375,
-0.0101318359375,
0.0125732421875,
0.06640625,
0.060791015625,
0.03759765625,
-0.0186767578125,
0.019775390625,
0.052001953125,
0.05517578125,
-0.00188446044921875... | 8,112 | 8112 | |
Plotting - Computer Graphics Primer
PLOTTING
To plot on a graphics computer is to place a dot or square somewhere on the screen of the computer. The size of the dot, whether it is colored or just black and white, and so on, depend on the type
of computer you are using. How you get the dot plotted on the screen also de... | 5 | [
-0.031005859375,
0.022216796875,
-0.072265625,
-0.054443359375,
0.0306396484375,
-0.07763671875,
0.00982666015625,
0.09716796875,
0.04443359375,
-0.0108642578125,
0.056884765625,
0.056396484375,
0.0595703125,
0.0120849609375,
-0.000720977783203125,
-0.0145263671875,
-0.09912109375,
... | 8,113 | 8113 | |
Analysis
September 17th 2006, 10:04 AM
MKLyon
Analysis
Have a question:
Suppose a, b can be any real number and for every e greater than 0, a is less than or equal to b +e. Prove that a is less than or equal to b.
It makes sense, just thinking about it, but how do you actually prove it?
MK
Septem... | 4 | [
-0.1015625,
0.111328125,
0.04541015625,
0.0172119140625,
-0.005706787109375,
0.04833984375,
-0.023681640625,
0.09375,
0.038818359375,
0.03955078125,
-0.037109375,
-0.0703125,
0.055908203125,
0.0361328125,
0.018310546875,
-0.031494140625,
-0.0291748046875,
-0.01251220703125,
-0.05... | 8,114 | 8114 | |
eek
August 3, 1995
This Week's Finds in Mathematical Physics (Week 59)
John Baez
As you crack your eyes one morning your reason is assaulted by a strange sight. Over your head, humming quietly, there floats a monitor, an ethereal otherworldly screen on which is written a
curious message. "I am the Screen of ... | 4 | [
-0.111328125,
-0.0556640625,
-0.06884765625,
0.0771484375,
0.0045166015625,
-0.0308837890625,
-0.036376953125,
0.029296875,
0.06396484375,
-0.005157470703125,
-0.00286865234375,
0.04150390625,
-0.035400390625,
0.03076171875,
-0.0218505859375,
-0.021484375,
-0.018310546875,
0.056640... | 8,115 | 8115 | |
Find the Eigenvalues and Eigenspaces
February 7th 2011, 03:23 PM #1
Member
Joined
Feb 2009
Posts
118
Find the Eigenvalues and Eigenspaces
Is my working correct?
Question: Find the eigenvalues and the corresponding eigenspaces for matrix A:
A=
6 -4
3 -1
|A - lambda * I| = 0
6-l... | 5 | [
0.0084228515625,
-0.064453125,
-0.0673828125,
-0.0703125,
0.00653076171875,
0.001800537109375,
0.01275634765625,
-0.0673828125,
-0.023681640625,
0.0223388671875,
0.11181640625,
-0.0244140625,
0.00250244140625,
-0.03466796875,
0.0023956298828125,
0.039306640625,
-0.11376953125,
-0.0... | 8,116 | 8116 | |
standard deviation
June 21st 2007, 11:39 PM
freudling
standard deviation
Some reason I get a different answer than the actual answer.
* = Standard Deviation, which is unknown and that is what we are solving for
June 21st 2007, 11:44 PM
Jhevon
Quote:
$0.20 = \frac {[0.08 + (0.13 + 0.08)]SD}{0.25... | 4 | [
0.06396484375,
0.044189453125,
0.040283203125,
0.12890625,
-0.032958984375,
0.0230712890625,
-0.0303955078125,
0.07373046875,
0.031005859375,
0.03369140625,
0.06787109375,
-0.0439453125,
-0.03076171875,
0.0576171875,
-0.01141357421875,
0.0269775390625,
-0.076171875,
0.0172119140625... | 8,117 | 8117 | |
Perfect matchings in certain classes of hypergraphs
up vote 4 down vote favorite
1
While doing research I came unto the following problem:
Given a hypergraph $H$ $r-partite$, $r-uniform$ (a r-graph, each edge contains r vertices), >$k- regular$ (all vertices have regular degree) and $n-balanced$ (each partition c... | 5 | [
-0.039306640625,
0.078125,
0.007476806640625,
-0.0625,
0.056884765625,
0.031982421875,
0.0277099609375,
-0.064453125,
-0.08740234375,
-0.0093994140625,
-0.059326171875,
-0.02392578125,
0.00439453125,
-0.017822265625,
0.06884765625,
-0.0164794921875,
0.044189453125,
0.00312805175781... | 8,118 | 8118 | |
Stochastic Matrixes
December 18th 2008, 02:49 PM #1
Newbie
Joined
Dec 2008
Posts
2
Stochastic Matrixes for Final on Sat.
Hello all. Its my first time posting so forgive any mistakes.
Got this problem in one of my reviews for a final this week, and can't quite figure it out. The prof kind of rushed t... | 4 | [
0.061767578125,
0.0101318359375,
-0.0086669921875,
0.041748046875,
0.000736236572265625,
-0.0216064453125,
0.0224609375,
-0.038330078125,
-0.00183868408203125,
-0.0133056640625,
0.02197265625,
0.055419921875,
0.0390625,
0.0184326171875,
0.032470703125,
0.0284423828125,
0.006408691406... | 8,119 | 8119 | |
triangles
May 17th 2008, 05:06 PM #1
Newbie
Joined
May 2008
Posts
1
triangles
hello...got a quick question..3.) A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what
is the length, in inches, of... | 4 | [
0.0301513671875,
0.12060546875,
0.0341796875,
-0.01214599609375,
-0.03271484375,
0.00518798828125,
-0.032470703125,
0.080078125,
-0.08642578125,
0.0191650390625,
-0.00634765625,
-0.057373046875,
-0.003204345703125,
0.006072998046875,
0.005706787109375,
0.1259765625,
-0.046630859375,
... | 8,120 | 8120 | |
Voltage/current converter opamp circuits
Question 1:
Don't just sit there! Build something!!
Learning to mathematically analyze circuits requires much study and practice. Typically, students practice by working through lots of sample problems and checking their answers against those provided
by the textbook or the i... | 5 | [
0.0106201171875,
0.06494140625,
0.042236328125,
-0.029541015625,
-0.06591796875,
-0.06396484375,
-0.05224609375,
0.029541015625,
-0.0252685546875,
0.078125,
-0.0123291015625,
-0.08154296875,
0.0537109375,
0.051513671875,
-0.06689453125,
0.0201416015625,
-0.06640625,
0.06787109375,
... | 8,121 | 8121 | |
Simple Harmonic Motion
October 10th 2007, 12:02 PM #1
Newbie
Joined
Sep 2007
Posts
7
Simple Harmonic Motion
In a small harbour, the depth of the water at high tide is 10m, and at low tide is exactly zero. The depth of water follows approximately simple harmonic motion with amplitude (A), 5m and time
... | 4 | [
-0.1279296875,
0.07763671875,
0.1142578125,
-0.059326171875,
-0.05029296875,
0.004547119140625,
-0.04541015625,
0.06103515625,
0.01385498046875,
0.026611328125,
0.056640625,
-0.109375,
-0.0091552734375,
0.00970458984375,
0.064453125,
0.087890625,
-0.047607421875,
0.012451171875,
... | 8,122 | 8122 | |
More Optimization and Modeling
November 15th 2006, 12:25 PM
Jacobpm64
More Optimization and Modeling
A rectangular beam is cut from a cylindrical log of radius 30 cm. The strength of a beam of width w and height h is proportional to $wh^2$. Find the width and height of the beam of maximum
strength.
I'm ... | 5 | [
0.03759765625,
0.1318359375,
-0.0289306640625,
0.00872802734375,
-0.01214599609375,
-0.0223388671875,
-0.00421142578125,
0.06787109375,
-0.078125,
0.0159912109375,
0.0289306640625,
0.02685546875,
0.0595703125,
0.09326171875,
0.005218505859375,
0.0888671875,
-0.01104736328125,
0.064... | 8,123 | 8123 | |
[SOLVED] Math homework help...Algebra ... PLS help! As soon as possible...?
November 20th 2007, 03:18 AM
waterqueen7
[SOLVED] Math homework help...Algebra ... PLS help! As soon as possible...?
Math homework help...Algebra ... PLS help! As soon as possible...?
Q. 1. Rajan saw a wooden piece near his bed. He ... | 4 | [
-0.00848388671875,
0.06884765625,
0.041748046875,
-0.03125,
-0.02734375,
-0.00750732421875,
-0.035888671875,
0.09423828125,
-0.04150390625,
0.010009765625,
-0.052490234375,
0.005584716796875,
-0.01141357421875,
0.07421875,
-0.05712890625,
-0.058837890625,
-0.03369140625,
0.07617187... | 8,124 | 8124 | |
Basic Properties
Next: Algorithm Up: Band Lanczos Method Previous: The Need for Deflation   Contents   Index
Basic Properties
After the first 4.28). These vectors are constructed to be orthonormal:
Here, 4.28), the algorithm has constructed the vectors
which are the candidates for the next 4.30) are ... | 4 | [
-0.11181640625,
-0.018798828125,
-0.054931640625,
-0.06787109375,
-0.0272216796875,
-0.038818359375,
-0.0179443359375,
-0.0498046875,
-0.06982421875,
-0.004730224609375,
0.032958984375,
0.08447265625,
-0.0166015625,
-0.057373046875,
-0.06787109375,
0.0361328125,
-0.048583984375,
0.... | 8,125 | 8125 | |
determinant problem
January 27th 2013, 02:53 AM
calc6770
determinant problem
Greetings!
I have a 2 x 2 matrix
3 1
2 0
I will calculate det(A^3).
Formula is a[11]a[22]-a[12]a[21.]
So, 3*0 - 1*2 and that makes det = -2
Thus, det(A^3) = (-2)^3 = -8... | 4 | [
-0.09521484375,
-0.031982421875,
-0.058349609375,
-0.00994873046875,
-0.024169921875,
-0.06689453125,
0.03173828125,
-0.0966796875,
-0.0181884765625,
-0.011962890625,
0.1337890625,
0.020263671875,
0.00168609619140625,
0.0272216796875,
-0.002685546875,
-0.005615234375,
-0.028686523437... | 8,126 | 8126 | |
Homework Help
Posted by Bradley on Monday, June 2, 2008 at 9:19pm.
The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4
a) Find the depressed equation using synthetic division and the root given. Factor out any constants that may appear.
b) Factor the depressed equation (which is now a quadratic) using a... | 4 | [
-0.006134033203125,
0.0240478515625,
-0.051025390625,
0.0380859375,
0.033447265625,
0.07177734375,
-0.00396728515625,
0.015869140625,
-0.07080078125,
0.007110595703125,
0.07470703125,
-0.044677734375,
0.08203125,
0.07568359375,
0.0179443359375,
0.06005859375,
-0.033203125,
0.052490... | 8,127 | 8127 | |
solving y=tanh(y-x) in terms of x
March 8th 2010, 10:02 PM #1
Newbie
Joined
Mar 2010
Posts
2
solving y=tanh(y-x) in terms of x
Is it possible to obtain analytic solution for y=tanh(y-x) in terms of x?
Tanh function can be used to model input-output voltage characteristics of op-amp. The above equati... | 5 | [
-0.0286865234375,
0.0286865234375,
0.03466796875,
-0.017822265625,
0.015625,
-0.01300048828125,
-0.019775390625,
-0.046875,
-0.0703125,
0.0107421875,
0.1005859375,
-0.046875,
0.00531005859375,
0.06494140625,
0.0751953125,
-0.0478515625,
-0.0045166015625,
-0.05712890625,
0.0292968... | 8,128 | 8128 | |
Density Functions
October 7th 2010, 12:35 PM #1
Newbie
Joined
Oct 2010
Posts
5
Density Functions
Q: Consider the function f(x) = (e^-|x|)/2 for x belonging to Real numbers. Prove that f is a density function.
Approach:
For f(x) to be classified as a density function there are 2 things required:
... | 4 | [
-0.02197265625,
0.01031494140625,
0.03173828125,
0.0133056640625,
0.07177734375,
-0.036376953125,
0.049560546875,
0.00107574462890625,
-0.0771484375,
0.0118408203125,
0.0252685546875,
-0.09912109375,
0.019287109375,
0.06494140625,
-0.01708984375,
-0.0703125,
0.064453125,
-0.0607910... | 8,129 | 8129 | |
Lagranges mean value Theorem
State the Langrage mean value theorem .Hence show that $e^x>1+x$ , x>0
next, you should state completely what the mean Value Theorem says since you have stated/used only part of it. Then, from the equation you posted it follows that $e^x = 1 + e^c x$ (the steps should
be basic at this leve... | 5 | [
0.007476806640625,
0.07080078125,
0.032958984375,
-0.07421875,
-0.07470703125,
0.05517578125,
0.0189208984375,
0.10888671875,
-0.0120849609375,
0.047119140625,
0.0341796875,
-0.08837890625,
0.043212890625,
-0.047119140625,
-0.0031585693359375,
-0.00201416015625,
-0.05712890625,
-0.... | 8,130 | 8130 | |
Homework Help
Posted by Becky on Thursday, September 27, 2012 at 8:48pm.
Find parametric equations for the tangent line to the curve of intersection of the paraboloid
z = x2 + y2
and the ellipsoid
6x2 + 5y2 + 7z2 = 39
at the point
(−1, 1, 2)
• Calc 3 - Steve, Friday, September 28, 2012 at 10:37am
if u and... | 5 | [
-0.09130859375,
0.0042724609375,
-0.0283203125,
-0.062255859375,
0.0296630859375,
0.00830078125,
0.00555419921875,
0.107421875,
-0.08837890625,
-0.032470703125,
0.060791015625,
-0.07470703125,
0.007659912109375,
-0.0206298828125,
-0.062255859375,
0.049072265625,
-0.07861328125,
-0.... | 8,131 | 8131 | |
help to proof : if a|b then phi(a) | phi(b)
November 26th 2011, 08:58 AM #1
Newbie
Joined
Nov 2011
Posts
6
help to proof : if a|b then phi(a) | phi(b)
hello.
can any one proof this problem for me please?
if a|b then phi(a) | phi(b). (b is natural number).
tanx.
Re: help to proof : if a|b th... | 4 | [
-0.041259765625,
0.010009765625,
0.044189453125,
-0.031494140625,
0.0034027099609375,
0.111328125,
0.1484375,
0.0400390625,
-0.0189208984375,
0.0208740234375,
-0.027587890625,
0.049560546875,
0.03564453125,
0.09765625,
-0.0169677734375,
0.059326171875,
-0.0145263671875,
-0.05249023... | 8,132 | 8132 | |
Ambiguity on the Axiom of Union...
July 27th 2011, 08:47 AM #1
Hello friends,
Take a look at the image below:
The blue part is of Paul.R.Halmos naive set theory.
I looked for the formal statement of the axiom and i found 2 different statements on net!
The red and the green one!
Certainly... | 4 | [
-0.041748046875,
0.0361328125,
0.027099609375,
0.002685546875,
0.039306640625,
0.0255126953125,
0.1298828125,
-0.06591796875,
0.046875,
-0.00482177734375,
-0.0164794921875,
-0.107421875,
0.060791015625,
-0.050048828125,
0.057861328125,
0.01446533203125,
-0.0234375,
-0.0015945434570... | 8,133 | 8133 | |
finding local inverse of f: R^2->R^2
March 27th 2011, 06:56 PM #1
Senior Member
Joined
Nov 2010
From
Hong Kong
Posts
255
finding local inverse of f: R^2->R^2
Could some kind soul look this over to see if I made any mistakes?
Appreciate your comments on my problem areas (highlighted). thanks!
... | 5 | [
0.042236328125,
-0.00823974609375,
0.0027923583984375,
-0.033203125,
0.0751953125,
-0.048828125,
-0.004364013671875,
0.03564453125,
-0.038330078125,
0.0810546875,
0.04736328125,
0.03369140625,
-0.0157470703125,
-0.01544189453125,
-0.043212890625,
0.01092529296875,
-0.006072998046875,... | 8,134 | 8134 | |
Differentiation
There is one last topic to discuss in this section. Taking the derivatives of some complicated functions can be simplified by using logarithms. This is called logarithmic differentiation.
It’s easiest to see how this works in an example.
┌─────────────────────────────────────────────────────────────... | 5 | [
0.004241943359375,
-0.0072021484375,
0.060546875,
0.007476806640625,
-0.0108642578125,
-0.12890625,
-0.018310546875,
-0.004547119140625,
0.06787109375,
0.0732421875,
0.08447265625,
0.0250244140625,
-0.0194091796875,
0.053466796875,
0.044677734375,
-0.0556640625,
-0.1005859375,
0.12... | 8,135 | 8135 | |
Is there a non-trivial example for a 1-homogeneous function satisfying a specific inequality of second order?
up vote 2 down vote favorite
1
Let $\mathbb{R}^n$ be the $n$-dimensional real vector space with Cartesian coordinates $x=(x^1,\ldots, x^n)\in \mathbb{R}^n$. I'm searching for a non-trivial example of a functio... | 5 | [
-0.053955078125,
-0.06787109375,
0.01275634765625,
-0.0172119140625,
-0.0157470703125,
0.03125,
-0.031494140625,
-0.0888671875,
-0.0263671875,
0.0186767578125,
0.083984375,
0.01220703125,
0.0019683837890625,
-0.04638671875,
-0.00439453125,
0.014892578125,
-0.00140380859375,
0.00292... | 8,136 | 8136 | |
Complex Analysis Help Please (not complicated :D)
November 14th 2007, 11:45 PM #1
Complex Analysis Help Please (not complicated :D)
The standard way is to write cos(z) in the u+iv form.
$\cos (z) = \cos (x)\cosh (y) + i\left( { - \sin (x)\sinh (y)} \right)$.
So we get $\cos (x)\cosh (y) = 0\;\& \; - \sin ... | 5 | [
-0.03759765625,
0.06103515625,
-0.0166015625,
-0.036865234375,
0.03466796875,
0.01202392578125,
0.058349609375,
-0.0206298828125,
-0.0240478515625,
0.046630859375,
0.125,
-0.1142578125,
-0.025634765625,
0.046875,
0.013427734375,
-0.0537109375,
-0.0615234375,
-0.0238037109375,
-0.... | 8,137 | 8137 | |
Conical tank...related rates
Hi, I've explained everything here and have written my thoughts for the problem as well: http://i44.tinypic.com/241v2m8.jpg
can anyone help wth even parts of my question if it's not all of it? -thanks!!
Hi Note that $\frac{h}{r} = \frac{H}{R}$ At instant t, the height is h At instant (t+d... | 5 | [
-0.043212890625,
0.11376953125,
-0.0133056640625,
-0.0284423828125,
0.02099609375,
-0.0223388671875,
-0.052978515625,
0.08203125,
-0.0167236328125,
-0.0181884765625,
-0.0130615234375,
0.015625,
0.031494140625,
0.08251953125,
-0.017333984375,
0.005126953125,
-0.0301513671875,
0.0354... | 8,138 | 8138 | |
logarithm problem
how to solve this question $<br /> <br /> 2+\log_2{(3x-1)}=\log_2{4x}<br />$
1. Re-write the equation: $2+\log_2{(3x-1)}=\log_2{4x}~\implies~2=\log_2{4x} - \log_2{(3x-1)}~\implies~$$2=\log_2\left( \frac{4x}{(3x-1)}\right)$ 2. Now use the base 2 on both sides of the equation:
$4=\frac{4x}{(3x-1)}$ Sol... | 4 | [
0.03271484375,
-0.0184326171875,
0.035888671875,
-0.031494140625,
-0.044677734375,
-0.08837890625,
-0.022216796875,
0.031982421875,
0.04248046875,
-0.010009765625,
-0.020263671875,
-0.08203125,
0.059326171875,
-0.036376953125,
0.007232666015625,
0.08837890625,
-0.0830078125,
-0.001... | 8,139 | 8139 | |
Chinese Remainder Theorem
April 4th 2011, 07:16 PM #1
Member
Joined
Nov 2009
Posts
79
Chinese Remainder Theorem
I understand how to do the Chinese Remainder Theorem when all of the moduli are pairwise relatively prime, but I don't understand how to do it when all of the moduli are NOT pairwise relatively... | 4 | [
-0.048095703125,
0.000339508056640625,
0.041015625,
-0.0986328125,
0.0908203125,
0.0147705078125,
0.0849609375,
0.06494140625,
-0.044921875,
-0.06591796875,
0.12060546875,
-0.012939453125,
0.0712890625,
-0.03125,
-0.020263671875,
-0.022216796875,
-0.0301513671875,
0.0052490234375,
... | 8,140 | 8140 | |
Composite functions
January 7th 2008, 07:48 AM #1
Member
Joined
Dec 2007
Posts
76
Composite functions
Let g(x)=x-3. Find a function f so that f(g(x))= $x^2$
Let f(x)= $x^2$. Find a function g so that f(g(x))= $x^2+8x+16$
Thanks!
We know that
$f(x - 3) = x^2$
Assume we have a funct... | 4 | [
-0.0390625,
0.0074462890625,
-0.04296875,
0.001983642578125,
-0.06982421875,
0.039306640625,
0.02099609375,
-0.048583984375,
0.0267333984375,
0.0150146484375,
0.09375,
-0.04345703125,
0.01165771484375,
0.00689697265625,
0.00008392333984375,
-0.0135498046875,
0.0087890625,
0.0515136... | 8,141 | 8141 | |
Formula for sequence and Prove de Morgan's law for unions
November 30th 2010, 10:09 AM #1
Junior Member
Joined
Oct 2010
Posts
43
Formula for sequence and Prove de Morgan's law for unions
I'm trying figure out a formula that would work with this sequence defined by a0=1, a1=2, and ak = 2ak-1 + 3ak-2, for ... | 5 | [
-0.05224609375,
-0.0017852783203125,
0.00482177734375,
-0.0247802734375,
-0.04248046875,
0.0341796875,
0.078125,
-0.08740234375,
0.027587890625,
0.06982421875,
-0.11474609375,
-0.1015625,
0.0537109375,
0.00225830078125,
0.06689453125,
0.072265625,
-0.0311279296875,
-0.0023498535156... | 8,142 | 8142 | |
Harmonic level sets and boundary data
up vote 8 down vote favorite
6
This is probably a classic problem, so a good reference book or paper to get me started on this type of question would be great:
Let $\mathbb{D} \subset \mathbb{C}$ be the unit disk with boundary $\mathbb{T}$. Take a function $f : \mathbb{T} \to \ma... | 4 | [
-0.047119140625,
0.04736328125,
-0.00015735626220703125,
-0.032958984375,
0.0245361328125,
-0.0166015625,
0.0196533203125,
0.0272216796875,
0.020751953125,
-0.007049560546875,
0.03955078125,
-0.038330078125,
-0.01055908203125,
-0.047607421875,
0.0810546875,
-0.08935546875,
-0.0242919... | 8,143 | 8143 | |
mean of sample means?? ( confused.....)
March 25th 2014, 07:33 AM #1
Newbie
Joined
Mar 2014
From
Hong Kong
Posts
5
mean of sample means?? ( confused.....)
Quality control process show that the amount of the soft drink filled into can follow a normal distribution with mean of 330 ml and a standard dev... | 5 | [
0.003753662109375,
0.0155029296875,
-0.0081787109375,
-0.03125,
-0.058837890625,
-0.041259765625,
0.07568359375,
0.09375,
0.033447265625,
-0.010986328125,
0.06982421875,
-0.041015625,
0.06005859375,
-0.048095703125,
0.032470703125,
-0.0177001953125,
0.04443359375,
-0.08203125,
-0... | 8,144 | 8144 | |
A Foray into Number Theory with Haskell
July 06, 2007
I encountered an interesting problem on reddit a few days ago which can be paraphrased as follows:
Find a perfect square $s$ such that $1597s + 1$ is also perfect square.
After reading the discussion about implementing a brute-force algorithm to solve the pr... | 5 | [
-0.09814453125,
0.044677734375,
0.048828125,
0.0380859375,
-0.0098876953125,
-0.015625,
0.01300048828125,
-0.006317138671875,
-0.0419921875,
-0.017822265625,
-0.052490234375,
0.042236328125,
0.05712890625,
0.052001953125,
-0.050537109375,
-0.048828125,
0.01116943359375,
-0.02673339... | 8,145 | 8145 | |
integration question (again)
January 21st 2007, 07:46 PM #1
integration question (again)
Sorry, but it's been a while since I've done calculus.
Evaluate the integral:
$\int re^{r/2}dr$
Do you let $u = r$ and $dv = e^{r/2}dr$?
From there, I'm not sure what to do.
$\int udv = uv - \int vdu$... | 5 | [
0.0201416015625,
0.038330078125,
0.034423828125,
-0.0140380859375,
0.06103515625,
-0.061767578125,
-0.0830078125,
0.034423828125,
-0.0279541015625,
0.06298828125,
-0.0146484375,
-0.05615234375,
-0.048828125,
0.1142578125,
0.07080078125,
-0.0947265625,
-0.023681640625,
-0.0128784179... | 8,146 | 8146 | |
On representing some real numbers exactly
There are uncountably many real numbers, and only countably many finite strings of symbols, so we know for sure that there is no scheme to represent all real numbers as finite strings of symbols in
such a way that different reals get different representations. However, there ar... | 4 | [
-0.044921875,
-0.08447265625,
-0.107421875,
0.0380859375,
-0.10546875,
0.01513671875,
-0.0250244140625,
-0.061279296875,
0.1220703125,
-0.08984375,
-0.04345703125,
-0.02783203125,
0.0693359375,
0.07958984375,
0.02490234375,
-0.060791015625,
-0.046875,
-0.00506591796875,
0.0510253... | 8,147 | 8147 | |
Help - Basic functions
March 13th 2009, 11:46 AM #1
Newbie
Joined
Feb 2009
From
NorthWest of England
Posts
15
Can someone give me some guidance please, just started new calculas assignment and need some help:
If f(theta) = 10Sin^2(0.4theta - 0.1)
Show that f'(theta) = 4Sin(0.8theta - 0.2)
... | 5 | [
0.021728515625,
0.049072265625,
0.0093994140625,
-0.050048828125,
-0.07177734375,
0.0191650390625,
-0.0299072265625,
0.0218505859375,
-0.004730224609375,
0.0024261474609375,
0.10205078125,
-0.0654296875,
0.025146484375,
0.0419921875,
-0.0439453125,
0.00121307373046875,
-0.03271484375... | 8,148 | 8148 | |
Not the First Event and Not the Second — and Not Independent
Date: 07/20/2012 at 22:29:05
From: Brian
Subject: probability word problem
At a card party, two door prizes are to be awarded by drawing two names at
random from a box. The box contains the names of 40 people, including that
of Joe Ramirez.
What is the pro... | 4 | [
0.052978515625,
0.04541015625,
-0.0235595703125,
-0.0130615234375,
-0.0546875,
0.005218505859375,
0.08251953125,
0.0211181640625,
0.00927734375,
0.00007200241088867188,
0.059814453125,
-0.0458984375,
0.03955078125,
-0.01446533203125,
0.00933837890625,
0.03369140625,
0.01055908203125,... | 8,149 | 8149 | |
Galerkin approximations for parabolic PDE weak solution, getting a uniform bound
up vote 1 down vote favorite
1
(As usual $V \subset H$ are separable Hilbert spaces)
In a book I read this about existence of the solutions to parabolic PDEs:
the approximate solution $u_n(t)$ solves the equation $$(u_n', w_j) + (Au... | 5 | [
-0.0322265625,
0.044189453125,
0.08544921875,
0.037841796875,
0.045166015625,
0.060302734375,
-0.0235595703125,
0.0260009765625,
-0.042724609375,
-0.06298828125,
0.0233154296875,
0.0108642578125,
-0.047119140625,
-0.095703125,
-0.037109375,
-0.00909423828125,
0.0169677734375,
-0.05... | 8,150 | 8150 | |
Algebra speed problem
May 20th 2008, 03:01 PM #1
Newbie
Joined
May 2008
Posts
4
It took a cyclist 6 h to travel 48 mi going against the wind. The next day on the return trip, it took the cyclist 3 h traveling with the wind. What was the speed of the cyclist?
Also they say i need to make some chart so... | 4 | [
0.0625,
0.1513671875,
0.01513671875,
-0.0029449462890625,
-0.0048828125,
0.043212890625,
-0.07568359375,
0.023681640625,
-0.0439453125,
0.000621795654296875,
0.087890625,
-0.042724609375,
0.002685546875,
0.0498046875,
0.0164794921875,
0.0703125,
-0.04638671875,
0.048828125,
-0.06... | 8,151 | 8151 | |
ines and
Let S be a set of n points in the plane. A halving line is a line through two points in S that splits the remaining points into two equal-sized subsets. How many halving lines can S have? More
generally, a k-element subset of S is called a k-set if it is the intersection of S with a halfplane. How man... | 4 | [
-0.1083984375,
0.027587890625,
0.017578125,
-0.04296875,
-0.044921875,
-0.043701171875,
0.01312255859375,
0.0234375,
0.04833984375,
0.001708984375,
-0.11669921875,
0.024658203125,
0.06982421875,
-0.0166015625,
-0.0306396484375,
0.0233154296875,
-0.01129150390625,
-0.023681640625,
... | 8,152 | 8152 | |
Average Radial Distance of Points within a Circle
Date: 03/26/2003 at 03:35:51
From: Dashiel
Subject: The Average Radial Distance of Points Within a Circle
I'm trying to determine the average value of a circular/radial
gradient that is at full value (white, call it 100% brightness) in the
center, and drops in a linea... | 5 | [
0.0419921875,
-0.0341796875,
-0.0400390625,
0.0322265625,
0.057861328125,
-0.06591796875,
-0.00885009765625,
0.0771484375,
0.03564453125,
-0.0281982421875,
-0.035888671875,
-0.00714111328125,
0.08837890625,
0.046142578125,
0.036865234375,
0.03466796875,
0.017333984375,
-0.017333984... | 8,153 | 8153 | |
Problem 50
The minimum is attained at the mean $\dfrac{\sum_{i=1}^{16} 2^i}{16}= \dfrac{2^{16}-1}{16}$
This is how i did it... let S= $|x-2|+|x-2^2|+...+|x-2^8|+|x-2^9|+....+|x-2^{15}|+|x-2^{16}|$ and S= $|x-2^{16}|+....+|x-2^9|+|x-2^8|+.......+|x-2|$ so whatever value minimises S would minimise 2S= $
(|x-2|+|x-2^{16}... | 5 | [
0.03662109375,
0.0966796875,
-0.0203857421875,
-0.061279296875,
0.041015625,
0.009765625,
-0.03515625,
0.1181640625,
-0.08154296875,
0.0172119140625,
0.000896453857421875,
-0.12060546875,
0.1533203125,
0.0303955078125,
-0.051025390625,
0.05029296875,
0.055908203125,
-0.10791015625,... | 8,154 | 8154 | |
Formal proof of "Law of ecxluded middle"
May 20th 2011, 06:21 AM
HeadmasterEel
Formal proof of "Law of ecxluded middle"
I wonder how to give a formal, Fitch-style, proof of P v $eg$ P ..?
I am able to prove it by contradiction when I use that $eg$ P & P is a tautological consequence of $eg$ (P v $eg$ P ) . ... | 5 | [
-0.05615234375,
0.08642578125,
0.140625,
-0.027099609375,
0.0673828125,
0.0419921875,
0.0074462890625,
0.0498046875,
-0.00848388671875,
0.1103515625,
-0.003204345703125,
-0.041748046875,
-0.0130615234375,
0.043701171875,
0.041015625,
0.0703125,
-0.00457763671875,
0.06884765625,
0... | 8,155 | 8155 | |
Stem and Leaf Plot
A stem-and-leaf plot looks something like a bar chart. Each number in the data is broken down int a stem and a leaf. The stem of the number includes all, but the last digit. The leaf of the number
will always b... | 4 | [
-0.034423828125,
-0.00787353515625,
-0.00732421875,
-0.04931640625,
0.05908203125,
0.0216064453125,
-0.06396484375,
0.051025390625,
-0.013427734375,
0.0869140625,
0.0625,
0.0257568359375,
-0.011474609375,
-0.044921875,
-0.0123291015625,
-0.00921630859375,
-0.2060546875,
-0.02954101... | 8,156 | 8156 | |
modeling first order equation..(Long question, fairly easy tho)
February 4th 2009, 06:42 AM
p00ndawg
modeling first order equation..(Long question, fairly easy tho)
A tank originally contains 100 gal of fresh water. Then water containing 0.5 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, a... | 5 | [
-0.09423828125,
0.048583984375,
0.064453125,
-0.038330078125,
0.021484375,
-0.05517578125,
-0.024658203125,
0.03369140625,
0.006805419921875,
-0.01422119140625,
0.0537109375,
-0.03955078125,
0.039794921875,
0.07470703125,
-0.0181884765625,
-0.01422119140625,
-0.0218505859375,
-0.02... | 8,157 | 8157 | |
Josephus Problem
August 29th 2010, 02:13 AM #1
Junior Member
Joined
Apr 2010
Posts
29
Josephus Problem
Hey,
I'm trying to figure out how to put (the solution to) the Josephus Problem into either an equation of a function of some sort.
I'm starting Algebra II/10th grade, so although I understand ... | 4 | [
-0.1318359375,
0.01336669921875,
0.052978515625,
0.0849609375,
0.03173828125,
0.011474609375,
-0.0242919921875,
0.09326171875,
-0.049560546875,
-0.00506591796875,
0.0177001953125,
0.0072021484375,
-0.0380859375,
-0.004425048828125,
-0.060302734375,
0.029052734375,
-0.08984375,
-0.0... | 8,158 | 8158 | |
Addition of inequalities for real numbers
January 25th 2011, 12:21 PM #1
Newbie
Joined
Jan 2011
Posts
6
Addition of inequalities for real numbers
How do you prove the addition of inequalites property for real numbers:
If x < y and w < z, then x + w < y + z, for all real numbers w,x,y,z.
Thanks
... | 4 | [
-0.052734375,
-0.037353515625,
-0.014404296875,
0.039794921875,
-0.03662109375,
0.0164794921875,
0.0341796875,
-0.068359375,
-0.0291748046875,
0.00194549560546875,
-0.0478515625,
0.0218505859375,
0.0712890625,
0.032958984375,
0.06298828125,
-0.009765625,
-0.0029449462890625,
0.0083... | 8,159 | 8159 | |
Eigen Diagonalization
November 4th 2007, 09:45 AM
Thomas
Eigen Diagonalization
Let $M=\left( \begin{array}{ccc} 5 & 2 \\ -1 & 2 \end{array} \right)$.
Find formulas for the entries of $M^n$, where $n$ is a positive integer.
$M^n=\left( \begin{array}{ccc} ? & ? \\ ? & ? \end{array} \right)$.
I'm not... | 5 | [
-0.0361328125,
0.0218505859375,
-0.0014801025390625,
0.05712890625,
-0.02001953125,
-0.0177001953125,
-0.007537841796875,
0.0107421875,
-0.047119140625,
-0.0177001953125,
0.0693359375,
-0.057861328125,
-0.04638671875,
0.0196533203125,
-0.0257568359375,
0.126953125,
0.0018234252929687... | 8,160 | 8160 | |
Group of Order 315
October 8th 2008, 04:19 PM #1
Newbie
Joined
Mar 2008
Posts
12
Let $G$ be a group of order 315 and $G$ contains a normal Sylow subgroup. Show that $G$ must be abelian.
Last edited by syme.gabriel; October 15th 2008 at 03:43 AM.
I cannot finish this
Let $C = G'$, the commut... | 5 | [
-0.0140380859375,
-0.025634765625,
0.039794921875,
-0.0078125,
0.0024871826171875,
-0.0159912109375,
0.037353515625,
-0.0196533203125,
-0.06494140625,
-0.0235595703125,
-0.0064697265625,
-0.052734375,
-0.060791015625,
-0.028564453125,
-0.04736328125,
0.003997802734375,
-0.02404785156... | 8,161 | 8161 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Onto [0,1]
Replies: 40 Last Post: Apr 29, 2013 10:... | 5 | [
0.00860595703125,
-0.0625,
-0.027099609375,
0.037841796875,
-0.059814453125,
0.04296875,
0.0673828125,
-0.00970458984375,
-0.0269775390625,
0.022216796875,
0.000492095947265625,
0.03662109375,
0.04296875,
0.01019287109375,
-0.03955078125,
-0.015869140625,
-0.0126953125,
-0.06591796... | 8,162 | 8162 | |
Existence and Uniqueness
October 16th 2007, 04:01 PM #1
Member
Joined
Sep 2006
Posts
221
Existence and Uniqueness
Determine the existence and uniqueness of solutions for each of the following. Indicate the interval (for t) where there exists a unique solution (if possible). DO NOT SOLVE THE DIFF EQ, JUST... | 4 | [
-0.125,
-0.050048828125,
0.044189453125,
-0.0218505859375,
-0.029541015625,
0.0228271484375,
0.0263671875,
-0.002716064453125,
0.040283203125,
-0.055908203125,
0.06689453125,
-0.06640625,
0.019775390625,
-0.0042724609375,
-0.0225830078125,
-0.046875,
-0.032958984375,
-0.10302734375... | 8,163 | 8163 | |
Max error and relative error
October 10th 2009, 02:31 PM
mybrohshi5
Max error and relative error
The circumference of a sphere was measured to be http://webwork.asu.edu/webwork2_file...63e9778881.png cm with a possible error of http://webwork.asu.edu/webwork2_file...5b5ed35541.png cm. Use
differentials to es... | 5 | [
-0.004730224609375,
-0.027587890625,
0.006500244140625,
-0.01171875,
0.040283203125,
-0.057861328125,
-0.09765625,
0.13671875,
-0.006683349609375,
0.054443359375,
0.0247802734375,
-0.03662109375,
0.123046875,
0.051025390625,
-0.056396484375,
-0.0277099609375,
0.01287841796875,
0.04... | 8,164 | 8164 | |
Inequalities in Triangles
May 13th 2007, 06:15 AM #1
Junior Member
Joined
Jun 2006
Posts
37
Inequalities in Triangles
Firstly, you guys must be wondering how come all threads started by me are always in the 'Urgent Homework Help' section. Well, that's me.... I always get reminded of homework a li'l late.... | 4 | [
-0.11865234375,
0.047119140625,
0.051513671875,
-0.04443359375,
0.0078125,
-0.0023345947265625,
-0.05224609375,
0.06201171875,
0.0054931640625,
0.02294921875,
-0.0390625,
-0.08349609375,
0.04248046875,
0.0238037109375,
0.0213623046875,
0.034912109375,
0.01220703125,
-0.05615234375,... | 8,165 | 8165 | |
Partial Differential Equation
February 25th 2011, 08:50 AM
Darkprince
Partial Differential Equation
For this exercise I will use the symbol of normal derivative for the partial derivatives:
Assume that f(x,y) is a differentiable function that obeys the partial differential equation
x*(df/dx)+y*(df/dy) ... | 5 | [
0.016357421875,
0.0238037109375,
0.0546875,
-0.03662109375,
0.0216064453125,
-0.034912109375,
-0.07373046875,
-0.0341796875,
-0.0888671875,
-0.01348876953125,
0.052490234375,
0.017822265625,
0.002838134765625,
0.08544921875,
0.07275390625,
0.045166015625,
-0.1240234375,
-0.00274658... | 8,166 | 8166 | |
Natural Logarithm and Limits
Date: 03/25/99 at 02:28:19
From: Lindsay Johnson
Subject: Natural Logarithm and Limits
We just learned in my Math31IB class that the limit of a ln equals the
ln of the limit. [i.e. lim (ln x) = ln (lim x)]. However, our teacher
has tried unsuccessfully to find a proof for this, and we wo... | 4 | [
-0.07470703125,
-0.0576171875,
0.07177734375,
-0.0279541015625,
0.029541015625,
0.0289306640625,
0.05224609375,
0.0059814453125,
-0.009033203125,
0.06689453125,
0.056640625,
0.0380859375,
-0.0032806396484375,
0.031494140625,
0.0458984375,
0.021240234375,
-0.10498046875,
0.07421875,... | 8,167 | 8167 | |
[SciPy-User] deconvolution of 1-D signals
David Baddeley david_baddeley@yahoo.com...
Mon Aug 1 02:03:18 CDT 2011
Hi Ralf,
5-15 times smaller would probably be fine, although you might want to watch the
edges in the reconstruction - if they're at different dc levels you'll get edge
artifacts (within ~ 1 kernel width ... | 4 | [
-0.091796875,
-0.0771484375,
0.041259765625,
0.04345703125,
0.00860595703125,
-0.064453125,
-0.0634765625,
-0.01422119140625,
-0.08349609375,
-0.08837890625,
-0.050537109375,
0.0029296875,
-0.01397705078125,
-0.048828125,
-0.034423828125,
-0.020751953125,
0.01611328125,
0.030761718... | 8,168 | 8168 | |
L'Hospital
$\lim_{x\to 0}(cos(2x))^{\frac{1}{x^{2}}}$ The limit is $e^{-2}$, not $e^{-4}$ There are many ways to go about it. Let $t=2x$ Then you get: $\lim_{t\to 0}\left[(cos(t))^{\frac{1}{t^{2}}}\right]^{4}$
Rewrite as: $\left[e^{\lim_{t\to 0}\frac{ln(cos(t))}{t^{2}}}\right]^{4}$ The inside limit is a 'famous' one wh... | 5 | [
0.06591796875,
0.06884765625,
0.0247802734375,
0.0277099609375,
0.0220947265625,
-0.044677734375,
-0.0263671875,
0.03515625,
0.057861328125,
0.06396484375,
0.10595703125,
-0.01068115234375,
-0.006927490234375,
0.02978515625,
-0.003875732421875,
-0.007293701171875,
0.0166015625,
-0.... | 8,169 | 8169 | |
Constructing fields of fractions using Haskell
This time I will write about a way to construct fields from integral domains using Haskell. It will use the structures from my previous post. But first a comment on that post. When discussing
integral domains I said that it was hard to test the property that there should ... | 4 | [
-0.083984375,
0.0162353515625,
-0.0140380859375,
-0.01336669921875,
-0.037109375,
-0.04150390625,
0.0299072265625,
-0.0732421875,
0.025146484375,
-0.03466796875,
0.03369140625,
-0.03759765625,
0.0322265625,
0.08544921875,
0.08740234375,
0.07666015625,
0.00506591796875,
-0.037109375... | 8,170 | 8170 | |
David R. MacIver
An introduction to infinity
I was talking about infinity with some friends recently. I did a maths degree during which I was quite keen on set theory, so there’s a lot of stuff I take for granted as making sense that is
actually obscure and hard to understand if you’ve not got that background. I thoug... | 4 | [
0.00160980224609375,
-0.00732421875,
0.025634765625,
0.01251220703125,
-0.027587890625,
0.00060272216796875,
0.0262451171875,
0.09423828125,
0.01531982421875,
0.004608154296875,
-0.138671875,
-0.049072265625,
0.01202392578125,
0.0252685546875,
-0.03076171875,
-0.012939453125,
0.02685... | 8,171 | 8171 | |
Math Help
can you help me with the quetion number 4 please and may be 6 too! http://www.robinson.homechoice.co.uk...on%20Paper.pdf thanks
Q4 looks like a routine application of the calculational formulae. Do you have examples to follow? Q6: Pr(H) = 5/8, Pr(W) = 1/2, Pr(H | W) = 5/6. (a) Pr(H | W) = Pr(H and W)/Pr(W).... | 4 | [
0.01531982421875,
0.0498046875,
0.0341796875,
-0.005218505859375,
-0.034423828125,
0.017822265625,
0.00057220458984375,
0.03857421875,
-0.018798828125,
0.00897216796875,
0.0439453125,
-0.0264892578125,
0.0093994140625,
0.025146484375,
-0.024658203125,
0.1279296875,
-0.08935546875,
... | 8,172 | 8172 | |
Investing money at different rates.
November 24th 2009, 05:35 PM
qleeq
Investing money at different rates.
Okay
Sam has $12,000. He invests this money into a savings account and a bond account. The savings account has an interest rate of 4%, while the bond has a rate of 6%. The total interest he collected
... | 4 | [
0.051025390625,
0.054443359375,
-0.0751953125,
0.006439208984375,
-0.05126953125,
0.0029754638671875,
0.017822265625,
0.059326171875,
0.054931640625,
0.041015625,
0.048095703125,
0.0311279296875,
0.0152587890625,
0.06689453125,
0.01483154296875,
0.034423828125,
-0.1103515625,
0.041... | 8,173 | 8173 | |
Solving a System of Three Equations in Three Variables
Date: 06/23/2007 at 16:35:53
From: Christopher
Subject: Can you help me with the formula for this equation
My son is having problems with this equation and I have forgotten how
to do this it has been so long. Can you help me to explain this to him?
x + y + z = ... | 4 | [
-0.06982421875,
0.0712890625,
-0.0201416015625,
-0.009765625,
0.053466796875,
0.025634765625,
-0.0113525390625,
0.048583984375,
-0.1669921875,
0.041259765625,
0.046875,
0.0439453125,
0.00171661376953125,
0.12451171875,
-0.006134033203125,
0.036376953125,
-0.046142578125,
0.0234375,... | 8,174 | 8174 | |
Helix Lying on a Cylinder
Date: 11/26/97 at 14:38:11
From: Celina Alvarez
Subject: Equation of a helix lying on a cylinder
I am trying to find a parametric equation for a helix (in 3 space)
lying on the cylinder, x^2+z^2 = 4, and winding three times around
the y-axis. The helix starts at the point (-2,3,0) and ends ... | 5 | [
-0.1162109375,
0.00946044921875,
-0.032470703125,
0.0091552734375,
-0.0033416748046875,
0.039306640625,
-0.08447265625,
0.130859375,
-0.02001953125,
-0.010009765625,
0.10302734375,
0.10302734375,
-0.0390625,
0.032470703125,
-0.030517578125,
0.0189208984375,
-0.1142578125,
-0.041503... | 8,175 | 8175 | |
Help with calculating a summation
January 3rd 2013, 02:32 PM #1
Newbie
Joined
Dec 2012
From
Australia
Posts
5
Help with calculating a summation
Hi there,
I have a trigonometrical-series type of solution as follows:
$C=C_{0}-\frac{4C_{0}}{\pi}\sum\frac{(-1)^n}{2n+1}\exp(\frac{-D(2n+1)^2\pi^2... | 5 | [
-0.09912109375,
-0.01531982421875,
0.08056640625,
0.06396484375,
0.01953125,
0.07421875,
-0.033935546875,
0.11279296875,
0.0390625,
-0.01348876953125,
0.0947265625,
-0.126953125,
-0.056396484375,
-0.028564453125,
-0.099609375,
-0.0281982421875,
0.01953125,
-0.018310546875,
0.0605... | 8,176 | 8176 | |
Statistical Inference: Hypothesis Testing
Have you ever wondered how to prove, conclusively, that performance optimisations you've made to some code have actually helped? In this blog post, I'll show you how we use Inference to guide our
work when trying to speed up slow bits of code at Mailout Interactive.
What is pe... | 5 | [
-0.0269775390625,
0.044189453125,
-0.00110626220703125,
0.04736328125,
0.049072265625,
-0.01300048828125,
-0.042724609375,
-0.00970458984375,
-0.00106048583984375,
0.0016326904296875,
-0.0234375,
0.03955078125,
-0.0120849609375,
-0.03564453125,
0.04736328125,
-0.019287109375,
0.07421... | 8,177 | 8177 | |
Math Help
August 11th 2007, 07:31 PM #1
Member
Joined
Jul 2007
Posts
151
Find the surface area of the portion of the sphere of radius 4 that lies inside the cylinder x^2 +y^2 =12 and above the xy-plane.
Could you please show me the steps of solving this question? Thank you very much.
$\int_0^{2... | 5 | [
0.060302734375,
0.11181640625,
0.0238037109375,
-0.05029296875,
0.0208740234375,
-0.0196533203125,
0.047119140625,
0.103515625,
-0.02783203125,
0.00970458984375,
-0.035400390625,
0.09228515625,
-0.0135498046875,
0.057373046875,
-0.013427734375,
0.0130615234375,
-0.05810546875,
0.03... | 8,178 | 8178 | |
An area paradox
Here’s a fun paradox which has been around for quite a while and was apparently a favorite of Lewis Carroll.
As you can verify for yourself, the two figures above are composed of two different rearrangements of the same four pieces. However, if we compute the areas of the two figures we get a surprise... | 4 | [
0.016357421875,
0.040283203125,
0.03369140625,
0.035400390625,
-0.0201416015625,
-0.02880859375,
0.006317138671875,
0.00124359130859375,
0.057861328125,
-0.027099609375,
0.01513671875,
-0.0238037109375,
-0.007110595703125,
0.0322265625,
-0.01226806640625,
-0.046142578125,
-0.1171875,... | 8,179 | 8179 | |
Basic Arithmetic, Basic Algebra, Basic Equations
March 6th 2013, 08:28 PM #1
Newbie
Joined
Mar 2013
From
Australia
Posts
10
Basic Arithmetic, Basic Algebra, Basic Equations
This equation I have completely forgotten what to do! Please include the method when you solve it. -2 is less than or equal to 3... | 4 | [
-0.052490234375,
0.0712890625,
0.0303955078125,
-0.07275390625,
-0.060791015625,
0.0001316070556640625,
-0.0184326171875,
0.01953125,
-0.041748046875,
-0.0031585693359375,
-0.050048828125,
-0.061279296875,
0.06787109375,
0.021240234375,
-0.0296630859375,
-0.008056640625,
0.0495605468... | 8,180 | 8180 | |
FFCA: a feasibility-based method for flux coupling analysis of metabolic networks
Abstract
Background
Flux coupling analysis (FCA) is a useful method for finding dependencies between fluxes of a metabolic network at steady-state. FCA classifies reactions into subsets (called coupled reaction sets) in
which activity o... | 4 | [
-0.07470703125,
-0.0106201171875,
-0.061279296875,
-0.025634765625,
0.02880859375,
-0.03857421875,
-0.083984375,
0.0289306640625,
0.024169921875,
-0.06689453125,
-0.07470703125,
-0.07568359375,
-0.0244140625,
0.03466796875,
-0.007293701171875,
-0.005401611328125,
-0.0037689208984375,... | 8,181 | 8181 | |
Math Help
May 9th 2008, 07:14 PM #1
Junior Member
Joined
Mar 2008
Posts
51
polynomial
Suppose you know that 3 is one of the zeros of the polynomial p=x^3-x^2-11x+15.
Find all the other zeros.
Briefly explain why you know that you have found all of the zeros.
There are 3 zeros for this pol... | 4 | [
-0.1181640625,
0.058349609375,
-0.018798828125,
0.00909423828125,
0.08349609375,
0.0341796875,
0.04248046875,
-0.01611328125,
0.006134033203125,
0.0252685546875,
0.0634765625,
-0.049072265625,
0.0079345703125,
0.08203125,
0.0120849609375,
-0.0218505859375,
0.0128173828125,
0.047363... | 8,182 | 8182 | |
simplifying radicals
July 24th 2005, 11:50 AM
AlizzleShizzle
please help me understand these evil radicals!
okay, so i'm learning how to simplify radicals and i understand the rules for the most part of simplifying but here is an example of what is confusing me:
Question:
X^2 Z^2 ^6(1/X^17)
answer:... | 4 | [
-0.0286865234375,
0.05908203125,
-0.04638671875,
0.1064453125,
0.0130615234375,
-0.056640625,
-0.0693359375,
-0.03271484375,
0.01123046875,
-0.0091552734375,
0.058349609375,
0.0250244140625,
0.01202392578125,
0.052978515625,
0.0107421875,
0.076171875,
-0.072265625,
0.048095703125,
... | 8,183 | 8183 | |
integrals
June 4th 2007, 06:51 AM #1
Junior Member
Joined
Mar 2006
Posts
40
integrals
I am having a hard time understanding this...you all do a much better job of explaining things than my textbook...hopefully between both, I can get a better understanding...
Integral (3square root y) - (2/y^3) + (1... | 5 | [
-0.010986328125,
-0.0849609375,
0.00003933906555175781,
0.01385498046875,
0.0810546875,
-0.05859375,
-0.0830078125,
0.01361083984375,
-0.00130462646484375,
-0.000823974609375,
0.005859375,
-0.021240234375,
-0.0174560546875,
0.00787353515625,
-0.049560546875,
0.0194091796875,
-0.04028... | 8,184 | 8184 | |
Need some help with a few questions that have been annoying me
September 3rd 2007, 11:48 AM #1
Newbie
Joined
Sep 2007
Posts
9
1) Make s the subject of the formula below
v= s (w+x) (thats "S" over "3")
--
3
2)Simplify Fully
12s squared t squared
OVER
16st cubed
3) Solve ... | 4 | [
-0.050537109375,
0.099609375,
0.04443359375,
-0.047607421875,
0.01708984375,
0.09228515625,
0.0216064453125,
0.04052734375,
-0.0191650390625,
0.026123046875,
-0.035888671875,
-0.03759765625,
-0.016357421875,
0.0771484375,
0.023681640625,
0.00445556640625,
-0.000492095947265625,
-0.... | 8,185 | 8185 | |
Diff questions
July 20th 2006, 01:21 PM #1
Newbie
Joined
Jul 2006
From
Cape Town, RSA
Posts
17
I want to double check these answers, this book doesnt supply answers.
1
$y= \frac{5x^4-3x}{x^2}\$
$y= 4x^2-2x^-1$
$\frac{dy}{dx}\ = 8x+2x^-2$
$8x+\frac{2}{x^2}\$
2
$f(x)=(\frac... | 4 | [
-0.047607421875,
-0.04248046875,
0.03125,
0.0184326171875,
0.01190185546875,
0.002471923828125,
-0.06787109375,
0.0218505859375,
0.007598876953125,
0.0179443359375,
0.10302734375,
-0.050048828125,
0.00775146484375,
-0.014404296875,
-0.07666015625,
0.01397705078125,
-0.055419921875,
... | 8,186 | 8186 | |
Perfect Number Algorithm
Date: 10/24/2001 at 00:34:29
From: Cristopher Wick
Subject: An algorithm for testing a number to see if it is perfect.
I'm having a smidge of trouble creating an algorithm to test whether
or not a number is a Perfect Number. I'm trying to find one that
would be easily translatable into C++ c... | 4 | [
0.0223388671875,
0.07080078125,
-0.03369140625,
-0.056396484375,
-0.06884765625,
-0.041748046875,
0.01611328125,
0.03173828125,
-0.10546875,
-0.00112152099609375,
-0.05224609375,
0.016357421875,
0.049560546875,
-0.06298828125,
-0.095703125,
-0.08349609375,
-0.06640625,
0.0092163085... | 8,187 | 8187 | |
Farey Series
Date: 10/21/2002 at 09:24:35
From: Clive
Subject: Farey's series
Dear Dr. Math,
I have encountered some difficulties in solving problems about Farey's
series.
For 3 successive terms in a Farey's series, say a/b, c/d, e/f, how can
we show that
i) c/d = (a+e)/(b+f)
ii) ad-bc = -1
I can prove tha... | 5 | [
-0.130859375,
0.0218505859375,
0.0517578125,
-0.0026397705078125,
-0.01513671875,
0.0654296875,
0.03466796875,
-0.0419921875,
0.033935546875,
-0.040283203125,
-0.035888671875,
-0.08740234375,
-0.01708984375,
0.006195068359375,
-0.0004291534423828125,
-0.05712890625,
-0.06298828125,
... | 8,188 | 8188 | |
Posts by
Total # Posts: 372
science
Rank the species from strongest to weakest base: Cl-, OH-,NH2
College Physics
That idea of "omni directional" kind of confused me also... I would guess that it can be assumed as just a regular wave?
College Physics
A radio station with a power of 20 kW sends out an omnidirectiona... | 4 | [
0.0205078125,
0.0498046875,
0.01153564453125,
-0.07666015625,
0.0009918212890625,
-0.04833984375,
0.01287841796875,
0.046875,
-0.09521484375,
-0.04443359375,
-0.003326416015625,
-0.08740234375,
0.0546875,
-0.0546875,
0.0101318359375,
0.0771484375,
-0.019287109375,
-0.07568359375,
... | 8,189 | 8189 | |
Summer of Gödel
Recall that
Q (i.e., Robinson Arithmetic)
is an
axiomatized formal theory (AFT)
of arithmetic couched in
the interpreted formal language L[A]
. Let L be a subset of
L[A]
and let T be some AFT of arithmetic.
We say that T is
L-sound
iff, for any sentence φ in L, if T ⊢ φ, then φ is true.
We s... | 4 | [
-0.051025390625,
-0.036865234375,
0.130859375,
-0.041259765625,
-0.00148773193359375,
0.10205078125,
0.049072265625,
-0.004150390625,
0.06787109375,
0.033447265625,
-0.039306640625,
0.052734375,
0.05126953125,
0.0059814453125,
0.016845703125,
0.00494384765625,
-0.004730224609375,
-... | 8,190 | 8190 | |
Solve via elimination
May 26th 2011, 09:05 PM
jay1
Solve via elimination
I think I am doing this problem wrong. To solve by elimination:
0.3x-0.2y=4 and 0.4x +0.3y=-1. After changing to integers, I multiplied the 1st equation by 4 and the second by 3 ending up with 8x-11y=17. I do not know where to go from h... | 4 | [
0.0111083984375,
0.07080078125,
-0.007476806640625,
-0.04150390625,
0.072265625,
-0.0986328125,
0.03466796875,
-0.025634765625,
-0.057861328125,
-0.0093994140625,
0.045654296875,
-0.005584716796875,
0.010986328125,
0.0172119140625,
0.036376953125,
0.0703125,
-0.09423828125,
-0.0319... | 8,191 | 8191 | |
torsion theories localizing the base ring to the same ring
up vote 2 down vote favorite
If two torsion theories on a ring localize the ring to the same extension ring, I can find no reason that their "meet" in the lattice of torsion theories must also localize to the same ring. I cannot
find anything in Golan's encycl... | 5 | [
-0.016845703125,
-0.0223388671875,
-0.07568359375,
-0.0576171875,
0.07275390625,
0.0000591278076171875,
0.00775146484375,
0.056884765625,
0.01312255859375,
-0.1005859375,
0.039306640625,
0.044189453125,
0.0576171875,
0.07568359375,
-0.00921630859375,
0.03466796875,
-0.007171630859375... | 8,192 | 8192 | |
A model of an
A model of an Outbreak
The eastern spruce budworm (Choristoneura fumiferana) is a forest pest insect. It defoliates spruce stands in Canada and Maine. Outbreaks occur in intervals of 30-40 years. Last outbreaks were in
1910, 1940, and 1970. They resulted in defoliation of 10, 25, and 55 million hectares... | 4 | [
0.039794921875,
-0.0712890625,
0.04638671875,
0.06005859375,
-0.0048828125,
0.01324462890625,
-0.03857421875,
0.01422119140625,
0.0732421875,
0.103515625,
0.054931640625,
-0.023193359375,
-0.019775390625,
0.064453125,
-0.0712890625,
0.000530242919921875,
-0.053466796875,
-0.0395507... | 8,193 | 8193 | |
Locus of The Vertex
February 14th 2008, 11:34 AM
JohnDoe
Locus of The Vertex
Hi, I got a question asking "Find the equation of the locus of the vertex of f(x)=x^2-2mx+2m+1 "What is locus is and how can i write an equation of a locus i made a search but didnt really get
anything useful. Thanks
February 14th ... | 4 | [
0.0240478515625,
0.014892578125,
0.0185546875,
-0.00011110305786132812,
0.0498046875,
0.042236328125,
-0.04345703125,
0.1201171875,
-0.08349609375,
0.0128173828125,
0.14453125,
-0.050537109375,
0.035888671875,
-0.031494140625,
-0.032958984375,
0.10400390625,
-0.0281982421875,
-0.04... | 8,194 | 8194 | |
Vector calculus: divergence theorem! help!
June 9th 2010, 06:47 AM
TheFirstOrder
Vector calculus: divergence theorem! help!
Using the divergence thm, evaluate the following equation
$\int\int_{s}(a^{2}x^{2}+b^{2}y^{2}+c^{2}z^{2})^{-1/2}dS$
where S is the surface of the ellipsoid $ax^{2}+by^{2}+cz^{2}=1... | 5 | [
0.0169677734375,
0.034423828125,
0.038818359375,
-0.038818359375,
0.033935546875,
-0.01324462890625,
-0.002227783203125,
0.0308837890625,
0.00506591796875,
0.02880859375,
-0.0205078125,
0.04931640625,
-0.0208740234375,
0.0181884765625,
-0.0634765625,
0.044921875,
-0.0238037109375,
... | 8,195 | 8195 | |
Question on the projective special unitary group
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $G$=PSU$(3,q)$ be projective special unitary group where $q$ is prime power. I would like to know why there is not any pr... | 5 | [
-0.0693359375,
-0.052978515625,
-0.09912109375,
0.0145263671875,
0.01104736328125,
0.0286865234375,
0.01055908203125,
-0.042724609375,
0.06396484375,
0.01904296875,
-0.013427734375,
0.04833984375,
0.0198974609375,
0.04296875,
0.042724609375,
-0.07666015625,
-0.048828125,
-0.0473632... | 8,196 | 8196 | |
Simplifying Log. Problem
March 2nd 2010, 07:27 AM #1
Junior Member
Joined
Nov 2008
Posts
62
Simplifying Log. Problem
Hey guys. Alright, here's the problem:
(not sure how to do log base 3 in LaTex.. so log.3 = log base 3)
Expand as the sum of individual logarithms, each of whose argument is li... | 4 | [
0.0240478515625,
-0.0390625,
-0.044677734375,
-0.0036773681640625,
0.02099609375,
-0.048095703125,
0.0172119140625,
-0.091796875,
0.07421875,
0.03955078125,
0.01348876953125,
0.01025390625,
-0.04736328125,
0.054931640625,
0.050048828125,
0.0419921875,
-0.0927734375,
0.0947265625,
... | 8,197 | 8197 | |
A Question about cylinders
March 5th 2008, 11:04 PM #1
sharlen
Guest
A Question about cylinders
This will probably be quite simple to work out, but my maths A Level was 14 years ago, and it's all a bit vague now.
We have a petrol tank (a cylinder) which is 5280mm long and orientated horizontally (i.e. on its... | 5 | [
-0.057373046875,
0.11572265625,
-0.05517578125,
-0.0595703125,
0.03466796875,
-0.054443359375,
-0.02783203125,
0.0986328125,
-0.032470703125,
-0.0634765625,
-0.056640625,
-0.0125732421875,
0.0654296875,
0.07421875,
-0.0299072265625,
0.006866455078125,
-0.048583984375,
-0.0042724609... | 8,198 | 8198 | |
Complex Analysis - Cauchy's Inequality
March 29th 2010, 11:47 AM
slevvio
Complex Analysis - Cauchy's Inequality
Hello everyone, I was wondering if anyone could give me a hand with this question.
Let f be an entire function satisfying $|f(z)| \le K|z^2|$ for $|z| \ge 1$, where K is a positive constant. Show ... | 5 | [
0.05322265625,
0.058837890625,
-0.0014801025390625,
0.0986328125,
-0.0390625,
0.057373046875,
-0.0223388671875,
0.0284423828125,
0.00164794921875,
0.08154296875,
0.00189971923828125,
0.0234375,
0.052490234375,
-0.03466796875,
-0.07958984375,
-0.033447265625,
0.0194091796875,
-0.039... | 8,199 | 8199 |