content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Applications of series and sequences (Superannuation, repayments)
July 26th 2008, 10:30 PM #1
Applications of series and sequences (Superannuation, repayments)
Question: At the beginning of each year, Sarah will deposit $1000 in a fund paying 10% each year compound interest:
i) What will be the value of Sara... | 4 | [
-0.0106201171875,
-0.0064697265625,
0.01483154296875,
-0.0185546875,
-0.0021209716796875,
0.037353515625,
0.049072265625,
0.046630859375,
0.00543212890625,
0.0703125,
-0.0086669921875,
0.0020294189453125,
0.0108642578125,
0.04150390625,
-0.0869140625,
0.0247802734375,
-0.05126953125,... | 2,400 | 2400 | |
The Best Egyptian Fraction - Mathematicians of the African Diaspora
The Best Egyptian Fractons
It is our intention to use some of the recent work of Milo Gardner and others to understand Egyptian Fractions. Below is a list, found on ... | 4 | [
-0.0849609375,
0.043701171875,
-0.0172119140625,
-0.0380859375,
-0.05712890625,
-0.055908203125,
-0.034423828125,
0.02099609375,
-0.01513671875,
0.050048828125,
-0.057861328125,
-0.10205078125,
-0.04931640625,
-0.0213623046875,
-0.099609375,
-0.0289306640625,
0.010498046875,
0.0354... | 2,401 | 2401 | |
question regarding logs
October 1st 2009, 06:18 AM
Solid8Snake
question regarding logs
hello! there is a question 10to the power of 2log 4 and it is asking me to simplify, but im not too sure how to go about. the base for the log is 10 and not 4 if you were wondering.
Thx in advance.
October 1st 2009, 06:2... | 4 | [
0.045654296875,
0.0498046875,
0.0279541015625,
-0.0201416015625,
0.0284423828125,
-0.04052734375,
0.07763671875,
0.0145263671875,
0.0186767578125,
0.06396484375,
0.07763671875,
0.0693359375,
0.01397705078125,
0.1279296875,
0.05078125,
0.119140625,
-0.1142578125,
0.09619140625,
-0... | 2,402 | 2402 | |
Soil Datasets
The mean rock volume percent was determined for each of 11 standard layers for each map unit of each state using data from the STATSGO Comp and Layer tables. The standard layers were introduced
because of the wide variation in the number, thickness, and depth to top and bottom of soil layers in the STATS... | 4 | [
0.052490234375,
-0.026611328125,
0.043701171875,
-0.016357421875,
0.0303955078125,
-0.00933837890625,
-0.062255859375,
0.053466796875,
-0.05517578125,
0.054443359375,
-0.0311279296875,
-0.1455078125,
0.0322265625,
0.04833984375,
-0.061279296875,
0.00750732421875,
0.0269775390625,
0... | 2,403 | 2403 | |
Diophantine equation
How to solve the following Diophantine equation? $a^2+b^2+c^2=a^2b^2$ Thank you in advance!
That equation has no integer solutions. Remember that $x^2$ is congruent to 0 (mod 4) if $x$ is even, and congruent t0 1 (mod 4) if $x$ is odd. So $a^2b^2\equiv0\pmod4$ unless $a$ and $b$ are both
odd. But ... | 5 | [
-0.004974365234375,
0.0224609375,
-0.00396728515625,
0.06884765625,
-0.001800537109375,
0.0301513671875,
0.0177001953125,
0.0341796875,
0.04931640625,
-0.109375,
0.03173828125,
-0.06591796875,
-0.01806640625,
0.01708984375,
-0.09375,
-0.0166015625,
0.0242919921875,
-0.0110473632812... | 2,404 | 2404 | |
Hi i need help with poynomial inequalities
November 1st 2012, 11:44 AM #1
Newbie
Joined
Nov 2012
From
ny
Posts
1
Hi i need help with poynomial inequalities
Hi there I am working thru this problem and my solution is (neg infinity, 3/2) Here is the problem : 2x^3-7x^2<-6x
My textbook has a differe... | 4 | [
0.00457763671875,
-0.029541015625,
0.01190185546875,
0.042724609375,
-0.0252685546875,
-0.000446319580078125,
-0.034423828125,
0.0089111328125,
-0.01300048828125,
0.0135498046875,
0.0439453125,
-0.052978515625,
0.042724609375,
-0.025634765625,
0.0025634765625,
0.050537109375,
0.02709... | 2,405 | 2405 | |
SparkNotes
The Wave Equations
A traveling wave is a self-propagating disturbance of a medium that moves through space transporting energy and momentum. Examples include waves on strings, waves in the ocean, and sound waves. Waves
also have the property that they are a continuous entity that exists over the an entire r... | 4 | [
0.06494140625,
-0.11669921875,
0.05029296875,
0.01312255859375,
-0.0400390625,
0.00787353515625,
-0.03173828125,
0.0263671875,
0.00110626220703125,
0.007080078125,
0.02685546875,
-0.007354736328125,
-0.0556640625,
-0.05126953125,
0.0233154296875,
-0.01458740234375,
0.037109375,
-0.... | 2,406 | 2406 | |
Implicit Differentiation word problem
April 4th 2010, 09:05 AM #1
Banned
Joined
Oct 2009
Posts
56
Implicit Differentiation word problem
"A stone is dropped into a still pond. Concentric circular ripples spread out and the radius of the disturbed area increases at a rate of 16 cm/sec. At what rate does th... | 4 | [
0.0267333984375,
-0.0103759765625,
0.033203125,
-0.0048828125,
-0.017822265625,
-0.0537109375,
-0.049072265625,
0.039794921875,
0.026611328125,
0.023681640625,
0.08642578125,
0.001739501953125,
0.06591796875,
0.146484375,
0.017822265625,
0.029052734375,
-0.01953125,
0.05029296875,
... | 2,407 | 2407 | |
Convergence of Sequences
March 5th 2011, 06:08 PM #1
Member
Joined
Oct 2010
Posts
133
Convergence of Sequences
This proof is in my notes. I would appreciate any guidance that anyone has to offer.
Let $(x_n)$ be a sequence of complex numbers. If there is a constant $c<1$ such that $|x_{n+1}-x_n|\leq ... | 4 | [
-0.1396484375,
0.005828857421875,
0.0228271484375,
-0.021484375,
-0.019287109375,
0.036376953125,
-0.02587890625,
0.050537109375,
-0.056640625,
-0.0771484375,
-0.0194091796875,
-0.03857421875,
0.00153350830078125,
-0.016845703125,
-0.0234375,
-0.029052734375,
0.07958984375,
-0.0150... | 2,408 | 2408 | |
check work
July 20th 2009, 09:05 AM
william
check work
1. the first step to solve the equation $log_5(x+2)=2$ is to take logs with base 2 of both sides
2. the first step in solving the equation $2^x-2^{x+2}=8$ is divide all terms by 2
3. the first error in the solved equation
$\begin{array}{l}log(x... | 4 | [
-0.0771484375,
0.038330078125,
0.08740234375,
0.0546875,
0.11474609375,
-0.08642578125,
-0.040283203125,
0.051025390625,
-0.026123046875,
0.057373046875,
0.03759765625,
-0.0751953125,
0.007171630859375,
-0.01165771484375,
0.0023040771484375,
0.06787109375,
-0.1416015625,
-0.0546875... | 2,409 | 2409 | |
limit as x approaches negative infinity
March 6th 2010, 06:33 PM #1
Junior Member
Joined
Jan 2010
Posts
26
limit as x approaches negative infinity
as x approaches negative infinity, what value does this function approach ?
limit square root (X^2+X) + X
i manipulated it to take out absolute (x) f... | 4 | [
-0.044189453125,
-0.0230712890625,
0.0115966796875,
0.06640625,
0.024658203125,
-0.0252685546875,
0.0164794921875,
-0.00927734375,
0.0025482177734375,
-0.04248046875,
0.10986328125,
0.0289306640625,
0.025634765625,
0.058349609375,
-0.10693359375,
0.04052734375,
0.06787109375,
-0.10... | 2,410 | 2410 | |
Word Problem Help
May 25th 2009, 12:45 PM
andi01
Word Problem Help
Can someone show me how to do this question? Thanks.
Ralph works part-time for a bike repair shop. He earns $2 for each tire he installs and $5 for each gear mechanism he assembles. Last week he did a total of 40 installations and assemblies... | 4 | [
0.06640625,
0.09228515625,
0.06689453125,
-0.0634765625,
-0.08984375,
-0.023681640625,
0.02734375,
0.048095703125,
-0.11328125,
0.09814453125,
0.0018463134765625,
-0.00946044921875,
0.08984375,
0.0228271484375,
0.0162353515625,
0.1162109375,
-0.060302734375,
-0.0260009765625,
-0.... | 2,411 | 2411 | |
Another simple probability question
March 31st 2012, 05:08 AM #1
Another simple probability question
If $n$ people are seated in a random manner in a row containing $2n$ seats, what is the probability that no two people will occupy adjacent seats?
My solution:
There are $2n!$ favourable arrangements.
... | 4 | [
0.0152587890625,
-0.061767578125,
0.0240478515625,
0.04931640625,
-0.061279296875,
0.042236328125,
-0.01104736328125,
0.01953125,
0.0233154296875,
0.0240478515625,
0.035400390625,
0.006011962890625,
0.00738525390625,
-0.01153564453125,
-0.078125,
-0.0164794921875,
0.044677734375,
-... | 2,412 | 2412 | |
2nd PDE for Exam
September 13th 2010, 06:43 AM #1
Junior Member
Joined
May 2008
Posts
50
2nd PDE for Exam
Hi again,
$x^2u_x - y^2u_y = 0$ subject to $u(1,y) = F(y)$
Solution
$x = 1, y = s, u(s) = F(s)$
$\frac{dx}{dt} = x^2$
$\frac{dx}{x^2} = dt$
$\frac{-1}{x} = t +c$. Sub in... | 5 | [
-0.09765625,
-0.0244140625,
0.045166015625,
0.05615234375,
0.0400390625,
0.01544189453125,
-0.023681640625,
0.02783203125,
-0.035888671875,
-0.0026092529296875,
0.0771484375,
-0.031494140625,
0.0027008056640625,
0.020751953125,
-0.1376953125,
0.004791259765625,
-0.038330078125,
-0.... | 2,413 | 2413 | |
Homework Help
Posted by Mike on Wednesday, October 14, 2009 at 12:53am.
Solve the system of equations:
y= (lnx)^2 + 2 (lnx^2)
y = 3ln(1/x^2)+24
Im not sure what to do..
β’ Math logs - Reiny, Wednesday, October 14, 2009 at 8:28am
so we equate the two
(lnx)^2 + 2(lnx^2) = 3ln(1/x^2)+24
now some prelim... | 4 | [
-0.0517578125,
-0.08642578125,
0.01544189453125,
0.0166015625,
0.01495361328125,
-0.01531982421875,
-0.05908203125,
0.02978515625,
0.044921875,
-0.033935546875,
0.11865234375,
0.0067138671875,
-0.00054168701171875,
-0.0301513671875,
-0.0205078125,
0.04638671875,
-0.111328125,
-0.07... | 2,414 | 2414 | |
demand and supply functions
July 20th 2010, 05:12 AM #1
Junior Member
Joined
Mar 2009
Posts
32
demand and supply functions
1. The demand and supply functions of a good are given by
P=-2Q_d+40
P=3Q_s+10
a. Find the equilibrium price and quantity.
b. The government imposes a tax of... | 4 | [
-0.0556640625,
0.048095703125,
0.064453125,
-0.09375,
-0.09375,
0.091796875,
0.03466796875,
0.06494140625,
-0.0400390625,
0.11865234375,
0.05224609375,
-0.06298828125,
0.052001953125,
-0.01226806640625,
0.01348876953125,
0.041748046875,
-0.041015625,
0.001129150390625,
-0.0488281... | 2,415 | 2415 | |
Finding intersections by adding 2 equations
February 16th 2009, 04:31 PM #1
Newbie
Joined
Feb 2009
From
Pshh.
Posts
2
For each of the following pairs of equations, find the point of intersection by adding the two equations together. Remember: you might need to change the coeffients and/or signs of the... | 4 | [
-0.0294189453125,
-0.034912109375,
0.0201416015625,
0.0205078125,
0.04052734375,
0.07568359375,
0.036865234375,
0.05126953125,
-0.058837890625,
-0.078125,
0.0869140625,
0.0181884765625,
0.014892578125,
0.04345703125,
-0.036376953125,
0.044677734375,
-0.09130859375,
-0.036376953125,... | 2,416 | 2416 | |
Items tagged with suggestion
Here is a example of a cesaro sum used when a series fails to converge in the usual sense of a sum.
sum((-1)^n*(n^(1/n)-a), n = 1 .. infinity) has a cesaro sum of 1/2*(a+2MRB constant-1).
Proof:
We are given that S= sum((-1)^n*(n^(1/n)-a), n = 1 .. infinity) .
Expanding the infinite ser... | 5 | [
-0.07763671875,
-0.060546875,
-0.0296630859375,
0.0693359375,
-0.025390625,
-0.048095703125,
0.01092529296875,
0.05419921875,
0.06396484375,
-0.0294189453125,
-0.04443359375,
-0.0546875,
0.09326171875,
0.0240478515625,
-0.0712890625,
-0.078125,
0.0654296875,
-0.02783203125,
0.060... | 2,417 | 2417 | |
Homework Help
Posted by nikki on Monday, June 6, 2011 at 10:23pm.
Solve the equation by a method of your choice:
6x2 + 5x + 1 = 0
If there are two solutions, separate the solutions by a comma.
β’ algebra - Reiny, Monday, June 6, 2011 at 10:31pm
Easy to see that it factors, so that is the obvious choice
6x... | 4 | [
-0.08984375,
-0.027099609375,
0.05712890625,
0.0230712890625,
-0.01171875,
-0.033203125,
0.05810546875,
0.0390625,
-0.0296630859375,
0.01416015625,
0.00982666015625,
-0.042724609375,
0.0172119140625,
0.0380859375,
-0.06396484375,
0.01470947265625,
-0.1083984375,
-0.0093994140625,
... | 2,418 | 2418 | |
Homework Help
Posted by Jane on Wednesday, December 18, 2013 at 8:43pm.
How do you solve this exponential equation using logarithms?
2*5^x=85
Do you start like this?
xlog2*5=log85
I don't know what to do after that.
β’ Algebra 2 - Jane, Wednesday, December 18, 2013 at 8:48pm
I think I figured it out.
85... | 4 | [
0.019287109375,
0.007476806640625,
0.021240234375,
0.047607421875,
0.0322265625,
-0.142578125,
0.04638671875,
0.0211181640625,
-0.0166015625,
0.045166015625,
0.044189453125,
-0.050537109375,
0.0166015625,
0.0625,
0.07470703125,
0.1083984375,
-0.134765625,
-0.03271484375,
-0.12792... | 2,419 | 2419 | |
Finding equation given inflection point
March 3rd 2011, 02:02 PM #1
Member
Joined
Nov 2010
Posts
119
Finding equation given inflection point
$\displaystyle f(x)=\sqrt{x+1}+\frac{b}{x}$
Find $\displaystyle b$ such that $\displaystyle f(x)$ has a point of inflection at $\displaystyle x=3$
Answer ... | 4 | [
-0.037109375,
-0.06494140625,
-0.0263671875,
-0.0203857421875,
-0.08154296875,
0.05126953125,
-0.0537109375,
-0.010009765625,
0.035400390625,
0.0269775390625,
0.056640625,
-0.060302734375,
0.0400390625,
-0.0390625,
0.03369140625,
0.07666015625,
-0.01397705078125,
-0.0634765625,
0... | 2,420 | 2420 | |
Homework Help
Posted by LALA on Monday, November 14, 2011 at 5:51pm.
a boat leaves a dock at 2:00 pm and travels due south at a speed of 20 km/h. Another boat has been heading due east at 15 km/h and reaches the same dock at 3:00 pm. at what time were the two boats
closest together
β’ calculus - Reiny, Monday, Novem... | 5 | [
-0.0264892578125,
0.10205078125,
0.01483154296875,
-0.049072265625,
0.0238037109375,
-0.03662109375,
-0.130859375,
0.0859375,
-0.044189453125,
-0.029296875,
0.07373046875,
-0.006439208984375,
0.0035858154296875,
0.06689453125,
-0.0673828125,
0.0712890625,
-0.01019287109375,
-0.0163... | 2,421 | 2421 | |
Number of arrangements
April 25th 2009, 04:48 PM
sleepywalker
Number of arrangements
Hey guys, I'm not sur how to solve this question:
how many arrangements are there of there of two a's, one e, one i and seven x's in which no two vowels are adjacent ?
I found that the answer would be 3! * 10! / (5! * 2!... | 4 | [
-0.0034942626953125,
-0.1005859375,
0.1015625,
-0.03662109375,
-0.09423828125,
0.09765625,
0.0439453125,
-0.06689453125,
0.038330078125,
0.07861328125,
0.10302734375,
-0.05810546875,
0.025146484375,
-0.031005859375,
0.00010919570922851562,
0.0439453125,
-0.08203125,
-0.08447265625,... | 2,422 | 2422 | |
Work and Power
Problem :
An elevator must lift 1000 kg a distance of 100 m at a velocity of 4 m/s. What is the average power the elevator exerts during this trip?
The work done by the elevator over the 100 meters is easily calculable: W = mgh = (1000)(9.8)(100) = 9.8Γ10^5 Joules. The total time of the trip can be cal... | 4 | [
0.010498046875,
0.08544921875,
-0.009521484375,
0.0189208984375,
-0.00025177001953125,
-0.06787109375,
-0.042236328125,
0.08056640625,
0.019775390625,
0.10498046875,
0.04345703125,
-0.015625,
0.00927734375,
0.0031890869140625,
-0.013427734375,
0.10205078125,
0.00022411346435546875,
... | 2,423 | 2423 | |
Mathematical teaser equation
August 17th 2008, 07:03 AM #1
Member
Joined
Jul 2007
Posts
147
Mathematical teaser equation
Hello everyone!
I hope everyone has had a relaxing summer.
Anyway, I have ventured again into a realm of math that is far beyond my abilities, in other words I am trying to s... | 4 | [
-0.0693359375,
0.049072265625,
-0.019287109375,
0.0693359375,
-0.064453125,
-0.06298828125,
-0.0225830078125,
0.0004425048828125,
-0.01434326171875,
-0.025146484375,
0.01409912109375,
-0.002532958984375,
0.08056640625,
0.025390625,
0.07568359375,
0.10107421875,
0.06201171875,
0.014... | 2,424 | 2424 | |
Problem Solving Select Many GRE Sample Questions
Problem Solving Select Many GRE Sample Questions 3
GRE Problem Solving Select Many Sample Questions
GRE Problem Solving Select Many Sample Questions 1 | GRE Problem Solving Select Many Sam... | 4 | [
0.032470703125,
0.0556640625,
0.07080078125,
0.004852294921875,
-0.058349609375,
0.032958984375,
0.048828125,
0.006683349609375,
0.03662109375,
0.0179443359375,
-0.01123046875,
-0.07568359375,
0.015380859375,
0.10400390625,
0.0255126953125,
-0.0220947265625,
-0.032958984375,
-0.083... | 2,425 | 2425 | |
Axiom of Union and Powerset
Any thoughts on how to solve this one? Prove that for all x, UP(x) = x
Hi, it is only about verifying definitions: $y \in x$ implies $\{y\} \in \mathcal{P}(x)$, and this implies $y \in \cup \mathcal{P}(x)$ (because union of a set contains elemets of the set's elements).
On the other hand, $... | 4 | [
-0.0201416015625,
0.05908203125,
0.047119140625,
-0.011962890625,
0.018310546875,
-0.03759765625,
0.130859375,
0.01031494140625,
-0.02099609375,
0.03125,
-0.08740234375,
-0.0228271484375,
0.06884765625,
-0.032958984375,
0.0859375,
-0.00921630859375,
0.068359375,
0.05224609375,
0.... | 2,426 | 2426 | |
Filler drivers
Phase error in Butterworth and Linkwitz-Riley filters
Odd-order Butterworth filters and Linkwitz-Riley ("Butterworth squared") filters have the property that the magnitude of the sum of the low-pass and high-pas... | 4 | [
-0.02197265625,
-0.045166015625,
-0.00848388671875,
0.036376953125,
-0.00726318359375,
0.00579833984375,
-0.0225830078125,
-0.0145263671875,
0.0159912109375,
-0.09423828125,
-0.059326171875,
0.0341796875,
0.04248046875,
-0.08984375,
-0.036376953125,
-0.010498046875,
-0.0303955078125,... | 2,427 | 2427 | |
Any bounded seq. has a converging subseq. <=> every bounded monotone seq. converges
How would I go about proving such a statement? Any help would be great thanks.
First prove this theorem: Every sequence contains a monotone subsequence. Then prove that Every bounded non-increasing (non-decreasing) sequence converges ... | 4 | [
-0.1015625,
-0.0244140625,
0.06787109375,
-0.057861328125,
-0.040283203125,
0.038330078125,
0.05517578125,
0.041259765625,
0.04296875,
-0.0030059814453125,
-0.095703125,
0.0242919921875,
0.051025390625,
-0.0072021484375,
0.01220703125,
0.048095703125,
0.0732421875,
0.01385498046875... | 2,428 | 2428 | |
Hypothesis Testing
Consider the following exercise.
A manufacturer claims that the average capacity of a certain type of battery the company produces is at least 140 ampere-hours. An independent consumer protection agency wishes to test the
credibility of the manufacturer's claim and measures the capacity o... | 5 | [
-0.027099609375,
0.10107421875,
0.0072021484375,
0.044677734375,
0.0189208984375,
0.002044677734375,
-0.01434326171875,
0.09765625,
-0.013427734375,
0.059326171875,
0.00009965896606445312,
-0.033935546875,
0.09228515625,
0.0223388671875,
0.044677734375,
-0.06298828125,
0.076171875,
... | 2,429 | 2429 | |
Newton's Law of Cooling Question
December 18th 2008, 05:51 PM
xxlvh
Newton's Law of Cooling Question
A pizza, heated to a temperature of 350 degrees Fahrenheit is taken out of an oven and placed in a 75 degree room at time t = 0 minutes. The temperature of the pizza is changing at a rate of
-110e^0.4t degree... | 5 | [
-0.0242919921875,
0.08984375,
0.054443359375,
0.07568359375,
-0.00193023681640625,
-0.042724609375,
-0.03759765625,
0.0224609375,
-0.005218505859375,
-0.005523681640625,
0.033447265625,
-0.10791015625,
0.0751953125,
0.0157470703125,
0.0146484375,
-0.1064453125,
0.051513671875,
-0.0... | 2,430 | 2430 | |
An Intuitive Way to the Spherical Gradient and Laplacian
It's that time of year again when physics students everywhere are deriving the spherical and cylindrical del, nabla, gradient, or Laplacian operators. Every derivation I saw prior to this week
involved lots of algebra and the chain rule... even mine. Fortunately ... | 4 | [
-0.038818359375,
-0.0213623046875,
0.1025390625,
-0.01007080078125,
0.034912109375,
0.0238037109375,
-0.049072265625,
0.00020599365234375,
0.076171875,
0.02001953125,
0.0162353515625,
0.036376953125,
0.00154876708984375,
0.056396484375,
-0.0284423828125,
-0.06787109375,
-0.0869140625... | 2,431 | 2431 | |
Using Diophantus' method find four square numbers...
January 16th 2012, 08:46 PM #1
Junior Member
Joined
Nov 2011
Posts
26
Using Diophantus' method find four square numbers...
Here is a problem I am given: Using Diophantus' method, find four square numbers such that their sum added to the sum of their si... | 4 | [
0.0032958984375,
0.10693359375,
0.01422119140625,
-0.035400390625,
-0.01806640625,
0.028076171875,
0.00811767578125,
-0.0272216796875,
0.0096435546875,
0.0093994140625,
-0.04443359375,
0.0308837890625,
0.01251220703125,
-0.01458740234375,
-0.064453125,
-0.06396484375,
0.0060729980468... | 2,432 | 2432 | |
Phasor Diagrams
Phasor Diagrams
In AC electrical theory every power source supplies a voltage that is either a sine wave of one particular frequency or can be considered as a sum of sine waves of differing frequencies. The neat
thing about a sine wave such as V(t) = Asin(Οt + Ξ΄) is that it can be considered to b... | 5 | [
-0.138671875,
0.02294921875,
-0.0859375,
0.0400390625,
-0.0089111328125,
0.019287109375,
-0.04833984375,
-0.0281982421875,
0.1376953125,
-0.0250244140625,
0.1044921875,
0.0050048828125,
0.00982666015625,
-0.00034332275390625,
0.0537109375,
-0.06982421875,
-0.087890625,
-0.021850585... | 2,433 | 2433 | |
integration - urgent help please
the integral from 0 to pi/2 of acost *bsint *sqrt(a^2*sin^2 t + b^2*cos^2 t)dt Thank you very much.
$ab \int_{0}^{\pi/2} \sin t \cos t \sqrt{a^{2} \sin^{2}t + b^{2} \cos^{2} t} \ dt$ Let $x = a \cos t$ and $y = b \sin t$ (elliptic integral).
Last edited by tukeywilliams; October 28th ... | 5 | [
-0.035888671875,
0.000408172607421875,
-0.037353515625,
0.016845703125,
0.0028076171875,
0.01312255859375,
-0.054931640625,
0.0220947265625,
0.0147705078125,
-0.017333984375,
0.035400390625,
0.0026092529296875,
-0.031494140625,
-0.0196533203125,
-0.000335693359375,
0.11279296875,
-0.... | 2,434 | 2434 | |
Please help! ODE question
January 16th 2009, 11:27 AM #1
Junior Member
Joined
Mar 2008
Posts
26
Please help! ODE question
Hi, i need to know how to solve this ODE. Please see the attachment. The solution is 2logx but i don't know to get it. Any help would be much appreciated. thanks
Let $u = \frac{d... | 5 | [
0.005889892578125,
-0.018798828125,
0.09619140625,
0.083984375,
0.080078125,
0.022216796875,
-0.052001953125,
-0.0322265625,
-0.035400390625,
-0.00897216796875,
0.04638671875,
-0.0771484375,
-0.0654296875,
0.003387451171875,
-0.038330078125,
-0.033203125,
0.010986328125,
0.02209472... | 2,435 | 2435 | |
Factoring trinomials.
February 1st 2010, 11:30 PM #1
Newbie
Joined
Jan 2010
Posts
22
Hi, please help me with this question...
$10x^2+3x-18$
$= 10x^2+15x-12x-18$
=... continued
How exactly do you come up with +15x and -12x? The textbook only tells that you multiply 10 and 18=180, and the ... | 4 | [
-0.003326416015625,
0.068359375,
0.038818359375,
0.02490234375,
-0.0034942626953125,
0.0771484375,
-0.03515625,
-0.0291748046875,
-0.01177978515625,
0.013427734375,
0.140625,
0.0296630859375,
0.09130859375,
0.0128173828125,
-0.0130615234375,
0.0220947265625,
-0.037841796875,
0.0299... | 2,436 | 2436 | |
Algebra/Real Numbers
From Wikibooks, open books for an open world
What Are Real Numbers?[edit]
Real numbers are, most likely, all the numbers you can think of! They consist of zero (0), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between
(0.4, 3.1415927, 1/2). Real ... | 4 | [
-0.00067138671875,
-0.08251953125,
-0.04345703125,
0.01226806640625,
-0.0634765625,
-0.002685546875,
-0.007476806640625,
0.0120849609375,
0.10498046875,
-0.025634765625,
-0.030517578125,
-0.054443359375,
0.032958984375,
0.0771484375,
0.001373291015625,
-0.11181640625,
-0.0205078125,
... | 2,437 | 2437 | |
Formally proving limits with epsilon-delta proofs
April 30th 2012, 07:14 PM #1
Newbie
Joined
Apr 2012
From
NYC
Posts
4
Formally proving limits with epsilon-delta proofs
Hey guys,
I'm trying to show that the limit as x-->1 of x^2 + 3x + 2 = 6.
We want to show that |x-1| < delta implies |(x^2... | 4 | [
0.01019287109375,
0.053466796875,
0.0341796875,
-0.0274658203125,
0.026123046875,
0.0115966796875,
0.052734375,
0.0234375,
0.037353515625,
-0.12451171875,
0.045654296875,
-0.054443359375,
0.07177734375,
0.0024261474609375,
-0.03125,
-0.042724609375,
0.05810546875,
-0.018310546875,
... | 2,438 | 2438 | |
Percentages
Percentage is a term used in arithmetic to denote that a whole quantity divided into 100 equal parts is taken as the standard of measure. Percentage is indicated by the percent sign (%). Thus percent
, or %, means a number of parts of one hundred (100). For example, 4% may be written as 4/100 or .04. Notic... | 4 | [
0.04345703125,
0.027587890625,
-0.0216064453125,
-0.025634765625,
-0.0098876953125,
-0.0546875,
0.02783203125,
0.0830078125,
0.0751953125,
0.0546875,
0.050048828125,
-0.042236328125,
0.0179443359375,
0.06298828125,
0.0177001953125,
0.04150390625,
0.030029296875,
0.06591796875,
-0... | 2,439 | 2439 | |
complete the square
September 29th 2005, 06:02 PM #1
Newbie
Joined
Sep 2005
Posts
9
help with precal problems plz
Can someone please help me figure out what I did wrong with these problems?
1. complete the square to write the equation of the parabola f(x) = -8x^2 - 24x + 15 in (h,k) form.
I can... | 4 | [
-0.05419921875,
-0.00150299072265625,
-0.0159912109375,
-0.03173828125,
-0.07373046875,
-0.04541015625,
-0.01092529296875,
0.00885009765625,
0.0301513671875,
0.031005859375,
0.050048828125,
-0.0208740234375,
0.037109375,
0.01123046875,
0.01373291015625,
0.052001953125,
-0.0205078125,... | 2,440 | 2440 | |
Trig Bearing Problems
October 6th 2009, 05:50 PM #1
Newbie
Joined
Oct 2009
Posts
19
Trig Bearing Problems
Any help would be appreciated!
I just have no clue where to start on these problems.
Well basically for this first one it says to find the bearing of an airplane located at that point. Expr... | 4 | [
0.03857421875,
0.01611328125,
-0.05322265625,
-0.044189453125,
-0.048095703125,
0.03955078125,
-0.0849609375,
0.029296875,
-0.03466796875,
0.03466796875,
0.09521484375,
0.003509521484375,
-0.03759765625,
-0.022216796875,
0.017578125,
0.01153564453125,
-0.048583984375,
-0.0541992187... | 2,441 | 2441 | |
PROGRAMMING ALGORITHMS, HEURISTICS
Beeler, M., Gosper, R.W., and Schroeppel, R. HAKMEM. MIT AI Memo 239, Feb. 29, 1972. Retyped and converted to html ('Web browser format) by Henry Baker, April, 1995.
PROGRAMMING ALGORITHMS, HEURISTICS
Previous Up Next
ITEM 176 (Gosper):
The "banana phenomenon" was encountered when... | 4 | [
-0.0556640625,
-0.025634765625,
-0.0145263671875,
-0.01904296875,
-0.0130615234375,
0.036865234375,
0.056884765625,
-0.0308837890625,
0.0341796875,
0.040771484375,
0.076171875,
0.0191650390625,
0.09814453125,
-0.06787109375,
-0.0284423828125,
-0.0201416015625,
-0.07373046875,
-0.01... | 2,442 | 2442 | |
-Value Adjustments
Chapter Contents Previous Next
p-Value Adjustments
PROC MULTTEST offers p-value adjustments using Bonferroni, Sidak, Bootstrap resampling, and Permutation resampling, all with single-step or stepdown versions. In addition, Hochberg's (1988) and
Benjamini and Hochberg's (1995) step-up methods ar... | 4 | [
-0.06982421875,
0.0230712890625,
0.08056640625,
-0.06689453125,
-0.010009765625,
-0.01611328125,
-0.087890625,
0.08642578125,
0.046875,
0.0400390625,
-0.0274658203125,
0.0205078125,
-0.0196533203125,
-0.055419921875,
-0.043212890625,
0.0030059814453125,
-0.0284423828125,
0.12890625... | 2,443 | 2443 | |
Newtonβs Method on TI-83/84 or TI-89
Copyright Β© 2002β2014 by Stan Brown, Oak Road Systems
Summary: Newtonβs Method is a fast numerical approximation of real solutions of an equation. Your TI-83/84 or TI-89 can do Newtonβs Method for you, and this page shows two ways.
iterative, meaning that it uses a process or rec... | 5 | [
-0.1083984375,
-0.044921875,
-0.02734375,
0.01104736328125,
-0.01055908203125,
-0.037841796875,
-0.031494140625,
0.041015625,
-0.01287841796875,
0.029296875,
0.03564453125,
0.06298828125,
0.032958984375,
0.00927734375,
-0.08056640625,
-0.0615234375,
-0.02392578125,
-0.060302734375,... | 2,444 | 2444 | |
quick sequence question
May 21st 2010, 01:28 AM #1
quick sequence question
I was wondering if i could get some help with this question:
Define a sequence $\{x_n\}_{n=1}^{\infty}$ by $x_1 = 1, x_2 = \frac{1}{2}$ and $x_n = \frac{2x_{n-1} + x_{n-2}}{4}$for $n \ge 3.$ Use the Monotone Convergence Theorem to sho... | 5 | [
-0.037109375,
-0.0537109375,
0.0791015625,
-0.0576171875,
-0.0220947265625,
0.0032806396484375,
-0.0537109375,
0.068359375,
0.005279541015625,
-0.00909423828125,
-0.005279541015625,
-0.06591796875,
0.0062255859375,
-0.0087890625,
-0.041015625,
0.05126953125,
0.0225830078125,
-0.044... | 2,445 | 2445 | |
Homework Help
Posted by chip on Thursday, December 30, 2010 at 11:35am.
whats the vertex of 4y^2+4y-16x+13=0?
β’ math - Reiny, Thursday, December 30, 2010 at 11:51am
rearrange, then complete the square ....
16x = 4y^2 + 4y + 13
4x = y^2 + y + 1/4 - 1/4 + 13/4
4x = (y + 1/2)^2 -1/4 + 13/4
4x = (y... | 4 | [
-0.0322265625,
0.051513671875,
-0.043701171875,
-0.03076171875,
-0.03515625,
-0.06640625,
-0.06591796875,
0.060791015625,
-0.01556396484375,
-0.04296875,
0.052978515625,
0.038330078125,
-0.050048828125,
0.0712890625,
-0.04541015625,
0.083984375,
-0.043212890625,
-0.031494140625,
... | 2,446 | 2446 | |
Homework Help
Posted by carl on Saturday, February 12, 2011 at 11:35pm.
Venus begins a new year every 225 days. Earth begins a new year every 365 days. If both planets begin a new year on the same day, how many days will pass befor that happens again.
β’ math-LCM - MathMate, Sunday, February 13, 2011 at 9:45am
... | 4 | [
0.00494384765625,
-0.01019287109375,
0.0147705078125,
-0.058349609375,
0.039794921875,
0.0191650390625,
-0.076171875,
-0.030517578125,
-0.06787109375,
-0.0205078125,
-0.0211181640625,
-0.030029296875,
0.0005950927734375,
-0.02294921875,
0.0157470703125,
-0.01397705078125,
-0.11425781... | 2,447 | 2447 | |
Math Help
August 6th 2005, 05:44 PM #1
Junior Member
Joined
Jun 2005
Posts
58
help me plz.
Solve the system of equations by substitution:
y = x^2 + 2x - 2 and y = 3x + 4
I tried working the problem out but I think I'm doing somthing wrong. I hope someone can help me.
Thank you in advance... | 4 | [
-0.037353515625,
-0.03369140625,
-0.06591796875,
-0.04345703125,
0.030517578125,
0.0230712890625,
0.00201416015625,
0.06103515625,
0.01123046875,
-0.07568359375,
0.08056640625,
-0.00506591796875,
0.0419921875,
0.002197265625,
0.00579833984375,
0.10546875,
-0.0361328125,
-0.02514648... | 2,448 | 2448 | |
KVR Forum: What Did I Do Wrong? (Zero Delay Filter Difference Equation) (Topic in the 'DSP and Plug-in Development' forum)
KVRist
324 posts since 1 Feb, 2005, from Portland
Itβs been a long time since Iβve dealt with difference equations and the z-transform, but I wanted to brush up to help me understand zero ... | 4 | [
-0.07421875,
0.049072265625,
0.036865234375,
0.02783203125,
0.0235595703125,
-0.038330078125,
-0.00830078125,
-0.0125732421875,
0.041748046875,
-0.03271484375,
0.08544921875,
-0.057861328125,
-0.01080322265625,
-0.0712890625,
-0.07666015625,
0.020263671875,
0.0103759765625,
0.00427... | 2,449 | 2449 | |
Primitive roots
September 11th 2008, 04:26 PM #1
Member
Joined
May 2008
From
Melbourne Australia
Posts
203
Thanks
15
Primitive roots
Suppose g is a primitive root modulo p (a prime) and suppose m|p-1 (1<m<p-1). How many solutions are there to the congruence:
$x^m-g \equiv 0$ (mod p)
My ... | 4 | [
-0.029541015625,
-0.0223388671875,
0.10693359375,
0.0341796875,
0.046142578125,
-0.047607421875,
0.07763671875,
0.07568359375,
-0.049072265625,
0.01092529296875,
0.048095703125,
0.07421875,
0.0272216796875,
0.018310546875,
0.00738525390625,
0.058837890625,
-0.042236328125,
-0.03320... | 2,450 | 2450 | |
Optimization problem - a question implying the solving process
April 7th 2013, 10:35 AM #1
Optimization problem - a question implying the solving process
I found this problem with the provided solution.
I already solved such type of problem, but using the triangle similarities and applying the Pythagorean the... | 5 | [
-0.057861328125,
0.059326171875,
-0.0146484375,
-0.0556640625,
0.01470947265625,
0.01214599609375,
-0.091796875,
0.037353515625,
0.0159912109375,
0.08251953125,
0.059326171875,
0.0018768310546875,
-0.031494140625,
0.007537841796875,
0.006927490234375,
0.08447265625,
-0.07080078125,
... | 2,451 | 2451 | |
Limit with fractions
September 4th 2012, 09:34 AM #1
Member
Joined
Jul 2012
From
United States
Posts
87
Thanks
3
Limit with fractions
I've been stuck on this problem for a few days and was hoping somebody could point me in the right direction.
$lim{yto4}\frac{\frac{1}{y}}{y-4}-\frac{\frac{1}... | 4 | [
0.025390625,
0.021484375,
0.00131988525390625,
-0.050048828125,
-0.01263427734375,
-0.08056640625,
-0.046630859375,
0.00006771087646484375,
0.046142578125,
0.000029802322387695312,
0.029541015625,
-0.00185394287109375,
-0.006805419921875,
0.1484375,
-0.0186767578125,
0.10400390625,
0... | 2,452 | 2452 | |
find ratio of areas
April 13th 2010, 07:24 PM #1
Newbie
Joined
Feb 2010
Posts
4
find ratio of areas
E divides DC such that DE/EC = x/y, find the ratio of the area of triangle a to that of parallelogram ABCD
123 :: 123.jpg picture by ooorandomooo - Photobucket
E divides DC such that DE/EC = x/y,... | 4 | [
-0.0306396484375,
0.061767578125,
-0.013671875,
-0.0810546875,
0.01019287109375,
0.02734375,
-0.018310546875,
0.025146484375,
-0.0111083984375,
-0.022216796875,
0.09228515625,
-0.0751953125,
0.025390625,
0.0308837890625,
0.04638671875,
0.012451171875,
-0.072265625,
0.01007080078125... | 2,453 | 2453 | |
Finding the apex - Simple Trig, but can't figure it out.
October 11th 2010, 09:27 AM #1
Newbie
Joined
Mar 2010
Posts
7
Finding the apex - Simple Trig, but can't figure it out.
In the above drawing, it is simple to find the angles and legs of each individual triangle using Trig. For example, the on... | 4 | [
-0.051025390625,
0.036376953125,
-0.036865234375,
-0.05029296875,
0.05859375,
-0.05419921875,
-0.06298828125,
0.04541015625,
0.04541015625,
-0.00133514404296875,
0.050048828125,
-0.09326171875,
-0.0263671875,
-0.01556396484375,
0.0654296875,
-0.034912109375,
-0.1416015625,
-0.07421... | 2,454 | 2454 | |
Fatigue crack growth
This article belongs to the series Fracture Mechanics. You can click the links below to read more on this topic.
KEY to METALS Extended Range includes the largest database of fracture mechanics parameters for hundreds of metal alloys and heat treatments conditions. K1C, KC, crack growth and Paris... | 4 | [
-0.10986328125,
-0.08642578125,
0.04248046875,
0.0673828125,
0.005035400390625,
0.003997802734375,
-0.061279296875,
0.06396484375,
-0.1611328125,
-0.005126953125,
-0.08056640625,
-0.1025390625,
0.014892578125,
-0.08349609375,
-0.0174560546875,
-0.041259765625,
-0.01373291015625,
-0... | 2,455 | 2455 | |
Add/Sub Logs of different bases.
November 1st 2012, 04:44 PM #1
Newbie
Joined
Jul 2012
From
Galway
Posts
2
Add/Sub Logs of different bases.
Hello,
Regarding, Solve for x,
Log(base2)x + Log(base3)x = 1
I keep getting x = sq root of 6.
The answer at the back of the book say x = 1.5... | 4 | [
0.01129150390625,
-0.0986328125,
-0.037109375,
-0.00115203857421875,
0.02490234375,
-0.10498046875,
0.03466796875,
0.0185546875,
0.04296875,
0.06884765625,
-0.00927734375,
-0.037841796875,
-0.01031494140625,
0.00482177734375,
0.06396484375,
0.042236328125,
-0.20703125,
0.0461425781... | 2,456 | 2456 | |
MathGroup Archive: May 2005 [00446]
[Date Index] [Thread Index] [Author Index]
Re: Re: Representation and Simulation of Dynamic Systems
β’ To: mathgroup at smc.vnet.net
β’ Subject: [mg57072] Re: [mg56984] Re: Representation and Simulation... | 5 | [
-0.08349609375,
0.00811767578125,
-0.01153564453125,
0.0191650390625,
-0.004241943359375,
-0.057373046875,
0.0299072265625,
0.051513671875,
0.01953125,
0.0115966796875,
-0.0272216796875,
-0.0164794921875,
0.0294189453125,
0.01031494140625,
-0.005706787109375,
0.01007080078125,
0.0208... | 2,457 | 2457 | |
Building
Comments581
145pages on
this wiki
For Buildings in Cookie Clicker Classic, see Building (Cookie Clicker Classic).
BuildingsΒ are the foundations of Cookie Clicker. Buildings are items that gradually gain you more cookies for buying more buildings/upgrades. Each building has an individual CpSΒ (Cookies pe... | 4 | [
-0.01611328125,
0.00823974609375,
-0.003662109375,
0.025634765625,
-0.0308837890625,
-0.083984375,
0.02197265625,
0.035888671875,
0.022216796875,
0.039306640625,
0.016845703125,
-0.0703125,
0.0034942626953125,
0.015869140625,
0.04638671875,
-0.0003337860107421875,
-0.0361328125,
0.... | 2,458 | 2458 | |
Cashflow Continued - Annuities
Cashflow Continued - Annuities Follow
... | 4 | [
-0.0233154296875,
0.06884765625,
0.01611328125,
-0.056396484375,
0.07666015625,
-0.048095703125,
0.09716796875,
-0.01202392578125,
0.0537109375,
0.05908203125,
0.01434326171875,
0.06982421875,
-0.015380859375,
-0.0205078125,
0.004150390625,
0.04541015625,
-0.0712890625,
0.042724609... | 2,459 | 2459 | |
Linear Algebra Question - Linear Operators
March 2nd 2009, 09:04 PM #1
Banned
Joined
Jan 2009
Posts
20
Linear Algebra Question - Linear Operators
Let u and v be vectors in $\Re^n$ and let T be a linear operator on $\Re^n$. Prove that T(n).T(v) = n.v if and ony if $A^t = A^{-1}$ where A is the standard ma... | 5 | [
-0.054931640625,
0.044921875,
0.0380859375,
-0.04736328125,
-0.109375,
-0.044921875,
-0.019775390625,
-0.1279296875,
0.0181884765625,
-0.0146484375,
-0.01287841796875,
0.059814453125,
-0.050537109375,
0.0019683837890625,
-0.0361328125,
-0.0189208984375,
0.06201171875,
-0.0275878906... | 2,460 | 2460 | |
shock PDE help
August 11th 2011, 09:43 PM #1
Newbie
Joined
Aug 2011
Posts
16
shock PDE help
Hi, I need a bit of help understanding what this question wants.
$(\frac{1}{2^5}u^4)_x + u_t =0$
1. How do I find the Rankine-Hugoniot shock speed condition for this?
EDIT: Got this:
$s=\frac{F(... | 5 | [
-0.1044921875,
0.0198974609375,
0.0859375,
0.0257568359375,
0.0869140625,
0.020263671875,
-0.025390625,
0.03125,
-0.03564453125,
-0.00921630859375,
0.07763671875,
-0.052001953125,
0.00799560546875,
-0.031005859375,
-0.031005859375,
0.01239013671875,
-0.0130615234375,
-0.076171875,
... | 2,461 | 2461 | |
Problem in understanding calculating limit.
August 13th 2010, 01:26 AM #1
Junior Member
Joined
Apr 2010
Posts
56
Problem in understanding calculating limit.
I have a problem in calculating the limit for an equation.
The equation is $\frac {Aap^a+Bbp^b}{Ap^a +Bp^b}$, where A, B, a, b are positive con... | 4 | [
-0.03173828125,
0.02392578125,
-0.034912109375,
0.04248046875,
-0.0230712890625,
0.033447265625,
0.048583984375,
-0.016845703125,
0.0242919921875,
0.0458984375,
0.0849609375,
0.0033721923828125,
0.00140380859375,
0.0556640625,
0.043701171875,
0.0712890625,
-0.041259765625,
-0.08837... | 2,462 | 2462 | |
need help for circles properties question
May 1st 2010, 12:15 AM #1
Newbie
Joined
May 2010
Posts
13
need help for circles properties question
In the diagram,the chord AB is perpendcular to the diameter CD,AB=70cm and CE=25cm.Find
a)the radius of the circle
b)the area of triangle AOB,where O is th... | 4 | [
0.040283203125,
0.054931640625,
-0.076171875,
-0.019287109375,
-0.046630859375,
-0.04736328125,
0.048583984375,
0.06396484375,
0.01104736328125,
0.01495361328125,
0.072265625,
-0.06884765625,
0.051513671875,
0.031494140625,
0.046630859375,
0.08740234375,
-0.03564453125,
-0.01660156... | 2,463 | 2463 | |
Binomial Probability Model
Next: Poisson Probability Model Up: Discrete Populations (Probability Models) Previous: More Parameters
The binomial probability model offers a simple but very useful model. An example of this model is the number of heads on 20 flips of a coin. This is certainly simple, but how about:... | 5 | [
0.02734375,
-0.05078125,
0.0242919921875,
0.01263427734375,
-0.01434326171875,
-0.01104736328125,
0.0311279296875,
0.01556396484375,
0.1279296875,
0.042236328125,
0.08837890625,
0.056640625,
0.031005859375,
0.003326416015625,
0.051513671875,
-0.042236328125,
-0.036865234375,
-0.023... | 2,464 | 2464 | |
Homework Help
Posted by Cassandra on Tuesday, March 23, 2010 at 10:34pm.
Use FTC to evaluate a definite integral with basic integrand--
(integral) bottom number 0, top #2 (4x^3+1)dx=
β’ Math - Reiny, Tuesday, March 23, 2010 at 10:37pm
Don't know what FTC stands for but
the integral of 4x^3 + 1 is
x^4 +... | 4 | [
0.00433349609375,
-0.0289306640625,
0.05908203125,
0.00164031982421875,
0.0252685546875,
-0.03271484375,
0.00421142578125,
0.04541015625,
0.025634765625,
-0.03759765625,
-0.0615234375,
-0.01202392578125,
-0.0198974609375,
0.0654296875,
-0.09619140625,
-0.053466796875,
0.0185546875,
... | 2,465 | 2465 | |
Finding centroid of region
September 20th 2009, 04:25 PM #1
Newbie
Joined
Sep 2009
Posts
12
Finding centroid of region
do I understand this right?
Find the centroid of the region bounded by the graphs of the equations:
y = 2x
x = 2y
x = 6
Area of region = integral from 0 to 6 [2x-1... | 4 | [
0.048828125,
0.009765625,
0.041748046875,
-0.0849609375,
0.00848388671875,
-0.00543212890625,
-0.055908203125,
0.033935546875,
-0.002227783203125,
0.0238037109375,
0.0135498046875,
0.00396728515625,
0.0244140625,
-0.022705078125,
-0.0096435546875,
0.041259765625,
-0.099609375,
-0.0... | 2,466 | 2466 | |
Homework Help
Posted by Jennifer on Monday, December 31, 2012 at 11:16pm.
solve the following exponential equation. exact answers only
1-8x 3x
Δ»i =e
*I know that I did not post this correctly but I do not know how to put the 1-8x above the pie symbol and 3x above the e.
β’ calculus - Steve, Monday, December 31, 2... | 5 | [
-0.0654296875,
-0.017822265625,
0.043701171875,
0.0133056640625,
-0.10009765625,
-0.03466796875,
0.0030059814453125,
0.00811767578125,
0.0250244140625,
0.009521484375,
0.054443359375,
-0.1171875,
0.031005859375,
0.0235595703125,
0.02880859375,
-0.0167236328125,
-0.07568359375,
-0.0... | 2,467 | 2467 | |
contravariant functor
Contravariant functors
Idea
A contravariant functor is like a functor but it reverses the directions of the morphisms. (Between groupoids, contravariant functors are essentially the same as functors.)
Between categories
A contravariant functor $F$ from a category $C$ to a category $D$ is simpl... | 4 | [
0.054443359375,
-0.039306640625,
0.05126953125,
0.02099609375,
-0.06787109375,
-0.04736328125,
-0.00762939453125,
0.06396484375,
0.017333984375,
0.041748046875,
0.03173828125,
-0.0007476806640625,
-0.05615234375,
0.0011749267578125,
0.06640625,
0.0155029296875,
0.083984375,
0.09716... | 2,468 | 2468 | |
Orifice Flow, Hydraulic
Orifice Flow, Hydraulic - Equations
An orifice is a sudden flow restriction of short length (zero length for sharp edge orifice). Orifices are treated as either a sharp edge orifice or a short tube orifice. Orifices are primarily used
to control flow or create a pressure differential (drop). Or... | 4 | [
-0.0213623046875,
0.00106048583984375,
0.046142578125,
-0.09814453125,
-0.0205078125,
0.0166015625,
-0.044921875,
0.044189453125,
0.05859375,
-0.01361083984375,
-0.000522613525390625,
-0.01153564453125,
0.031494140625,
0.0211181640625,
-0.0238037109375,
-0.06591796875,
-0.07763671875... | 2,469 | 2469 | |
Group-Adjoint and Hopf-Algebra-Adjoint Maps
up vote 3 down vote favorite
1
I've reading some introductory quantum group material and am trying to understand the algebra-space correspondence in the classical case. One object I'm stuck on is the adjoint coaction $$ Ad_R: a \
mapsto a_{(2)} \otimes S(a_{(1)})a_{(3)} $$ o... | 4 | [
-0.08447265625,
-0.064453125,
-0.031982421875,
-0.0238037109375,
-0.0419921875,
0.041748046875,
0.0390625,
-0.0322265625,
-0.044677734375,
-0.047119140625,
0.000736236572265625,
-0.047119140625,
-0.04296875,
0.0059814453125,
0.041748046875,
0.07275390625,
0.0269775390625,
0.0888671... | 2,470 | 2470 | |
Mean Value Theorem
March 31st 2010, 07:18 PM
sderosa518
Mean Value Theorem
f(x)= square root (X) - 2x
Stupid error I made and I lost myself. Can someone assist please?
Once I got the dirivative what do I need to do next?
(1/2x)^-1/2
------------ = 1/2
1/2
March 31st 2010, 07:23 PM
Prove ... | 5 | [
0.0012969970703125,
0.000217437744140625,
0.06982421875,
-0.000789642333984375,
-0.064453125,
0.02197265625,
-0.083984375,
0.126953125,
0.0211181640625,
0.07177734375,
0.0595703125,
-0.0400390625,
0.0791015625,
0.00628662109375,
-0.0216064453125,
0.064453125,
-0.04541015625,
-0.057... | 2,471 | 2471 | |
basic probabilty
February 15th 2010, 07:17 AM
LArchambeau3
basic probabilty
Ninth grade homework giving me trouble again, here is the problem,
Your school cafeteria offers 3 entrees for lunch each day. The three entrees are randomly selected from a list of 20. Your favorite is grilled cheese. What is the pr... | 4 | [
-0.009521484375,
0.00726318359375,
0.0927734375,
0.00048065185546875,
-0.0106201171875,
0.013916015625,
-0.006988525390625,
-0.0380859375,
-0.041259765625,
-0.0012969970703125,
0.021240234375,
-0.033447265625,
-0.01336669921875,
0.032470703125,
0.0751953125,
-0.0302734375,
0.06054687... | 2,472 | 2472 | |
Need the derivation of area formula of a segment
February 20th 2009, 07:17 AM
shaurya
Need the derivation of area formula of a segment
This is not in my syllabus. But on my geometry box i saw the formula.
Radius(Pie Theta/360 - Sin Theta/2)
We have area of segment in our syllabus but that consists of g... | 4 | [
0.0115966796875,
0.055419921875,
-0.0303955078125,
-0.038330078125,
-0.00830078125,
-0.06640625,
-0.0888671875,
0.07080078125,
0.0625,
-0.004119873046875,
0.0400390625,
-0.031005859375,
0.0054931640625,
0.016357421875,
0.08154296875,
-0.050048828125,
-0.0732421875,
-0.010498046875,... | 2,473 | 2473 | |
Sum of a series of numbers
Calculate the sum of the squares of following numbers: 2,5,8,11,...,(3n-4),(3n-1) ???
The sequence is $a_k = 3k - 1$ So you are trying to find $\sum_{k=1}^{n}(3k-1)^2$ $\sum_{k=1}^{n}(9k^2 - 6k +1)$ Now calculate $\sum_{k=1}^{n}9k^2 - \sum_{k=1}^{n}6k + \sum_{k=1}^{n}1$.
CanΔ«t believe, such... | 5 | [
-0.064453125,
-0.00372314453125,
0.00762939453125,
-0.0263671875,
-0.046875,
0.050048828125,
-0.0225830078125,
0.03955078125,
0.043701171875,
-0.06640625,
-0.11474609375,
0.0185546875,
-0.0155029296875,
-0.0245361328125,
-0.15234375,
-0.0576171875,
0.03955078125,
0.039794921875,
... | 2,474 | 2474 | |
Simple derivatives help...
March 31st 2009, 08:23 PM
yekkalu
Simple derivatives help...
Hi....I am trying to learn derivatives my self....I am able to do the simple ones........but finding difficulty in solving the below problems...Can anybody please help me.(Bow)
Derivatives of y=x\(lnx), y=squareroot(sinx... | 5 | [
-0.00677490234375,
-0.0020904541015625,
0.0595703125,
0.007537841796875,
0.0478515625,
-0.04736328125,
-0.01507568359375,
-0.07275390625,
0.000728607177734375,
0.0078125,
0.1015625,
0.0155029296875,
-0.054443359375,
0.047607421875,
0.00592041015625,
0.037841796875,
-0.061279296875,
... | 2,475 | 2475 | |
st: RE: RE: risk ratio
Notice: On March 31, it was announced that Statalist is moving from an email list to a forum. The old list will shut down on April 23, and its replacement, statalist.org is already up and running.
[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
st: RE: RE: risk ratio
... | 5 | [
-0.06884765625,
-0.0225830078125,
-0.09326171875,
0.045166015625,
0.1591796875,
0.0091552734375,
-0.0269775390625,
0.09228515625,
-0.01953125,
0.0225830078125,
0.026611328125,
-0.0126953125,
0.0260009765625,
-0.00994873046875,
-0.0267333984375,
0.023193359375,
-0.04150390625,
-0.02... | 2,476 | 2476 | |
Trigonometric proof(requires use of complex numbers)?
May 23rd 2009, 09:47 PM #1
Trigonometric proof(requires use of complex numbers)?
Prove that if $m, n\ \mbox{and}\ p$ are arbitrary integers then the expression:
$\sin \frac{m\pi}{p}\sin \frac{n\pi}{p}\ +\ \sin \frac{2m\pi}{p}\sin \frac{2n\pi}{p}\ +\ \sin ... | 5 | [
-0.078125,
-0.00168609619140625,
0.004364013671875,
0.09326171875,
0.011962890625,
0.051513671875,
0.0162353515625,
0.0703125,
-0.000598907470703125,
-0.0166015625,
0.015869140625,
-0.019287109375,
-0.0194091796875,
0.060546875,
0.05322265625,
-0.045166015625,
0.044677734375,
0.028... | 2,477 | 2477 | |
intersection of tangents to a curve, equidistance
January 5th 2012, 09:23 AM #1
intersection of tangents to a curve, equidistance
It is given that y = 0.5(x^2) 3x + 12
The points P and Q on the graph have x-coordinates 0 and 8 respectively. The tangents at P and Q meet at R. Show that the point (11, 9) is e... | 4 | [
-0.054931640625,
0.04052734375,
-0.052734375,
-0.0703125,
-0.0111083984375,
0.1142578125,
0.0615234375,
0.1337890625,
0.050537109375,
-0.01116943359375,
0.09033203125,
0.0146484375,
-0.0167236328125,
0.083984375,
-0.0225830078125,
-0.0234375,
-0.06640625,
-0.03369140625,
-0.02709... | 2,478 | 2478 | |
Graph sketching, continuity, differentiation - Is this right?
September 14th 2008, 12:46 PM
AntiSandman
Graph sketching, continuity, differentiation - Is this right?
(I would appreciate either an explanation as to how to solve the problems, or the correct answer so I could figure out what I did wrong.)
1. L... | 4 | [
0.007659912109375,
0.01324462890625,
-0.03369140625,
-0.08642578125,
-0.038818359375,
0.0000820159912109375,
0.004364013671875,
0.061767578125,
-0.041015625,
-0.005279541015625,
0.046875,
-0.022216796875,
-0.025146484375,
0.05029296875,
0.033935546875,
0.04541015625,
-0.01611328125,
... | 2,479 | 2479 | |
reviewing for Finals and STUCK on this! It's not hard, just tricky
December 16th 2010, 01:22 AM #1
Junior Member
Joined
Jul 2010
Posts
59
reviewing for Finals and STUCK on this! It's not hard, just tricky
Let F(x) = f(f(x)) and G(x)=(F(x))2 . You also know that f(9)=7, f(7)=3, fβ²(7)=5, fβ²(9)=7.
Fin... | 5 | [
-0.0283203125,
-0.015869140625,
0.1064453125,
-0.0400390625,
-0.0186767578125,
0.03857421875,
-0.0233154296875,
-0.0037078857421875,
-0.048583984375,
0.08251953125,
0.05126953125,
-0.0306396484375,
0.030517578125,
0.0211181640625,
-0.01483154296875,
0.00014972686767578125,
-0.1225585... | 2,480 | 2480 | |
finding solutions for a mixed variable equation
June 17th 2011, 02:10 AM #1
Newbie
Joined
Jun 2011
Posts
3
finding solutions for a mixed variable equation
Hi there, this is a for a calculus question but it's more the algebra I'm having trouble with at the moment.
I've reduced an equation down to:
... | 4 | [
0.03759765625,
0.00946044921875,
0.01019287109375,
-0.048828125,
0.0076904296875,
0.032958984375,
-0.050537109375,
-0.064453125,
0.0019073486328125,
-0.06298828125,
0.0830078125,
0.01953125,
-0.021728515625,
0.0615234375,
0.02880859375,
0.0732421875,
-0.0223388671875,
-0.0639648437... | 2,481 | 2481 | |
Final Exam: Introduction to Artificial Intelligence: Solutions
Problem 1 (20 points)
Explain briefly (2 or 3 sentences each) the difference between:
A. Depth-first search and iterative deepening search.
B. State space search and game tree evaluation.
C. Top-down parsing and bottom-up parsing.
D. A perceptron and a fee... | 5 | [
-0.0732421875,
-0.0130615234375,
0.06005859375,
-0.0537109375,
-0.03759765625,
-0.0079345703125,
-0.0115966796875,
0.0301513671875,
0.03857421875,
0.057373046875,
-0.0654296875,
-0.004241943359375,
0.00885009765625,
0.006256103515625,
-0.03564453125,
0.04931640625,
-0.02978515625,
... | 2,482 | 2482 | |
Qmet 252 by Milousharapova
A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of
nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 217, 217, 21... | 5 | [
-0.0235595703125,
0.0673828125,
0.0032196044921875,
0.0291748046875,
-0.013916015625,
-0.00469970703125,
-0.041015625,
0.095703125,
0.038818359375,
0.03271484375,
0.06103515625,
-0.0693359375,
0.00653076171875,
-0.054443359375,
0.0142822265625,
-0.080078125,
0.047607421875,
-0.1176... | 2,483 | 2483 | |
Exponential help
May 16th 2007, 10:07 PM #1
Newbie
Joined
May 2007
Posts
4
Exponential help
Hi, I really need help on this problem.
Let f(x) = (1/2)([a^x] + [a^-x]) if a> 0. Show that
f(x + y) + f(x-y) = 2f(x)f(y)
I really appreciated any help
f(x+y) = (1/2) (a^{x+y} + a^{-(x+y)})
... | 4 | [
0.0045166015625,
-0.02685546875,
-0.00262451171875,
0.031982421875,
-0.0159912109375,
0.01611328125,
0.013427734375,
-0.0693359375,
-0.00970458984375,
0.0966796875,
0.06396484375,
-0.01171875,
0.031494140625,
0.0220947265625,
0.0751953125,
0.08203125,
-0.07421875,
-0.050048828125,
... | 2,484 | 2484 | |
problem on Fourier transforms
I need some help with this also: Prove that : FourierTransform[e^(-ax^2)]=(sqrt[Pi/a]) e^(-Ο^2/4a)
Put $<br /> f(x)=e^{-ax^2}<br />$ Differentiate: $<br /> \frac{df}{dx}=-2 a x f(x)<br />$ Now take FTs of both sides and apply the derivative rules to the forward and backwards transform: $<... | 5 | [
-0.0146484375,
-0.008056640625,
0.07470703125,
0.0057373046875,
-0.026123046875,
0.0546875,
-0.0869140625,
0.003631591796875,
0.042724609375,
0.08154296875,
0.1494140625,
-0.027099609375,
0.00787353515625,
-0.0380859375,
0.09228515625,
0.01226806640625,
-0.044921875,
-0.02001953125... | 2,485 | 2485 | |
[SOLVED] Unsure - Surface Integral Q?
March 27th 2009, 05:22 PM #1
Newbie
Joined
May 2008
Posts
19
[SOLVED] Unsure - Surface Integral Q?
Hey everyone!
I have the following question:
In the following cases you are given a 3D velocity vector field. This represents the velocity of a fluid at the po... | 5 | [
-0.007476806640625,
0.06103515625,
0.0137939453125,
-0.04931640625,
0.00543212890625,
-0.03515625,
0.053955078125,
-0.043212890625,
-0.09033203125,
0.023193359375,
-0.09716796875,
-0.02099609375,
0.022216796875,
0.064453125,
-0.00118255615234375,
0.01446533203125,
-0.0196533203125,
... | 2,486 | 2486 | |
Mathematics as the Science of Patterns - Euclid
Book III of Euclidβs Elements concerns the basic properties of circles, for example, that one can always find the center of a given circle (proposition 1); that a line through the center is
perpendicular to a chord if and only if it bisects the chord (proposition 3); that... | 4 | [
-0.09716796875,
0.080078125,
-0.04833984375,
-0.024658203125,
-0.08642578125,
-0.0103759765625,
0.004974365234375,
0.0341796875,
0.0537109375,
-0.002410888671875,
0.00634765625,
-0.0228271484375,
0.021484375,
-0.0038604736328125,
0.033935546875,
-0.0146484375,
-0.068359375,
0.02709... | 2,487 | 2487 | |
Getting the Standard Deviation from your calculator:
I have used the following data set to get the mean with several different calculators.
1, 1, 1, 4, 7, 7, 7Β Β Β standard deviation = 3
Current Calculators that I have in my office:
There are hundreds of calculators on the market that find the standard deviation.Β I... | 4 | [
0.08251953125,
-0.05029296875,
-0.0113525390625,
0.01611328125,
-0.037841796875,
0.054443359375,
-0.0673828125,
0.10302734375,
-0.001129150390625,
0.034423828125,
-0.0216064453125,
-0.049560546875,
0.0244140625,
-0.09521484375,
0.02197265625,
-0.05224609375,
-0.00811767578125,
0.06... | 2,488 | 2488 | |
Capsule introduction to 3d wireframe rendering
For the course on game engines I teach in the IT University of Copenhagen's MSc in Games, one project is to implement a 3d wireframe software renderer, without using OpenGL or other existing APIs, in
order to fully understand what's going on behind the scenes in 3d renderi... | 4 | [
-0.142578125,
-0.032470703125,
-0.053466796875,
-0.0673828125,
-0.03759765625,
-0.05517578125,
-0.0301513671875,
0.056396484375,
0.00157928466796875,
0.0341796875,
-0.041748046875,
-0.02880859375,
-0.04736328125,
0.076171875,
-0.01312255859375,
0.039306640625,
0.008056640625,
0.101... | 2,489 | 2489 | |
solving for unknowns
July 7th 2008, 01:37 PM #1
Junior Member
Joined
Sep 2007
Posts
69
solving for unknowns
1.) If,
{4x^2 - sqrt[3]{x^2} + 3}/{sqrt[6]{x^5}} = 4x^a - x^b + 3x^c}
then a= ______ , b= _______ , and c= _______ .
2.) If V=4r^2h and r/(H-h)= R/H, write V as a function of R
V=... | 5 | [
-0.06494140625,
0.0267333984375,
-0.0869140625,
0.019775390625,
-0.045654296875,
-0.0162353515625,
-0.021240234375,
-0.022705078125,
-0.00176239013671875,
-0.035888671875,
-0.004058837890625,
-0.07666015625,
-0.018310546875,
-0.0289306640625,
-0.002410888671875,
0.031494140625,
-0.03... | 2,490 | 2490 | |
Uniform Convergence of Inegral
Prove that the integral $\int_{0}^{1}\frac{\sin\alpha x}{\sqrt{|x-\alpha|}}\,dx$ converges uniformly for $\alpha\in[0,1]$.
I'm not sure what "converges uniformly" means in this situation. Absolute convergence, as in the integral of the absolute value of the function converges? If so, the... | 5 | [
0.04345703125,
-0.0888671875,
-0.0634765625,
-0.06640625,
0.034423828125,
-0.07373046875,
-0.00677490234375,
0.002685546875,
-0.057373046875,
-0.032958984375,
0.01953125,
0.09716796875,
0.025634765625,
0.0074462890625,
-0.033447265625,
-0.0135498046875,
0.062255859375,
-0.007507324... | 2,491 | 2491 | |
The Expected Draws to Sum over One.
Q: You have a random number generator that creates random numbers exponentially between \([0,1]\). You draw from this generator and keep adding the result. What is the expected number of draws to get
this sum to be greater than 1.
Fifty Challenging Problems in Probability with Solut... | 5 | [
-0.037841796875,
0.011962890625,
0.01531982421875,
0.005218505859375,
-0.00058746337890625,
-0.04736328125,
0.087890625,
-0.0267333984375,
0.040283203125,
0.0213623046875,
-0.04345703125,
-0.0157470703125,
0.1201171875,
-0.0260009765625,
-0.010009765625,
-0.006927490234375,
0.0013809... | 2,492 | 2492 | |
Fundamental Theorem of Line Integrals
April 13th 2009, 08:55 AM #1
Member
Joined
Oct 2008
Posts
124
Fundamental Theorem of Line Integrals
How do I use the fundamental theorem of line integrals to evaluate the integral
(3x-y+1)dx - (x+4y+2)dy from (-1,2) to (0,1)?
that's the part i am having trou... | 5 | [
-0.03515625,
-0.013671875,
-0.007568359375,
-0.08251953125,
0.016845703125,
-0.0074462890625,
0.0067138671875,
0.04736328125,
-0.05615234375,
0.05419921875,
-0.024169921875,
-0.034423828125,
0.007354736328125,
-0.0029296875,
-0.030517578125,
-0.05615234375,
-0.11572265625,
-0.07128... | 2,493 | 2493 | |
MathGroup Archive: December 2001 [00334]
[Date Index] [Thread Index] [Author Index]
Re: Solutions that are not solutions
β’ To: mathgroup at smc.vnet.net
β’ Subject: [mg32082] Re: Solutions that are not solutions
β’ From: Tom Burton <tbu... | 4 | [
-0.11083984375,
-0.00396728515625,
-0.044677734375,
0.0654296875,
0.083984375,
0.01007080078125,
0.051025390625,
-0.072265625,
-0.0198974609375,
0.0179443359375,
0.04248046875,
-0.05078125,
0.08740234375,
0.007354736328125,
-0.07958984375,
0.041015625,
-0.10498046875,
-0.0825195312... | 2,494 | 2494 | |
MathGroup Archive: January 1997 [00172]
[Date Index] [Thread Index] [Author Index]
Re: Transpose
β’ To: mathgroup at smc.vnet.net
β’ Subject: [mg5703] Re: [mg5679] Transpose
β’ From: Allan Hayes <hay at haystack.demon.co.uk>
β’ Date: Sa... | 5 | [
-0.015625,
-0.00518798828125,
-0.00347900390625,
0.017333984375,
0.0252685546875,
0.03173828125,
-0.03515625,
-0.01220703125,
0.019287109375,
-0.0003261566162109375,
-0.010009765625,
0.09130859375,
-0.05615234375,
-0.005584716796875,
-0.08203125,
0.07080078125,
-0.05078125,
0.01403... | 2,495 | 2495 | |
Dimension arguments in combinatorics
Here is another article that I hope to develop into an entry on the Tricks Wiki. It concerns the use of linear algebra to solve extremal problems in combinatorics. The method is quite easy to
illustrate with some well-known examples, but what I find interesting is the question of h... | 5 | [
-0.036865234375,
-0.0084228515625,
0.01116943359375,
0.004119873046875,
0.00016880035400390625,
0.05419921875,
0.020263671875,
0.0150146484375,
-0.0281982421875,
0.01409912109375,
-0.0322265625,
0.0301513671875,
0.032470703125,
0.0247802734375,
-0.049072265625,
0.1025390625,
0.050292... | 2,496 | 2496 | |
sine inequality
June 28th 2008, 06:11 AM
fardeen_gen
sine inequality
The set of all x in the interval [0, Ο] for which 2 sin^2 x - 3 sin x + 1 β₯ 0 is?
I got three values of x:
Ο/6, 5Ο/6 and Ο/2
Options for the question are:
A) [Ο/6, 5Ο/6] U {Ο/2}
B) [Ο/6, 5Ο/6] - {Ο/2}
C) [Ο/6, 5Ο/6]
... | 4 | [
-0.040771484375,
0.052490234375,
-0.028076171875,
-0.037353515625,
-0.04541015625,
0.1025390625,
-0.00775146484375,
-0.0260009765625,
-0.00016117095947265625,
-0.042236328125,
0.0059814453125,
-0.059326171875,
0.037841796875,
-0.02734375,
0.035888671875,
-0.0673828125,
0.019775390625... | 2,497 | 2497 | |
tion
Authors
Baruch Zukerman, Ron Wein, and Efi Fogel
Introduction
Let \( {\mathcal C} = \{C_1, C_2, \ldots, C_n\}\) be a set of curves. We wish to compute all intersection points between two curves in the set in an output-sensitive manner, without having to go over
all \( O(n^2)\) curve pairs. To this end, we s... | 5 | [
-0.08349609375,
-0.0120849609375,
-0.003936767578125,
0.0020294189453125,
0.00946044921875,
-0.08349609375,
0.040283203125,
-0.01007080078125,
0.0390625,
-0.041748046875,
-0.013916015625,
0.018310546875,
-0.01141357421875,
-0.017822265625,
-0.09033203125,
-0.0037689208984375,
-0.0498... | 2,498 | 2498 | |
The Number of Triangles Formed by
Journal of Integer Sequences, Vol. 1 (1998), Article 98.1.5
The Number of Triangles Formed by Intersecting Diagonals of a Regular Polygon
... | 5 | [
0.0228271484375,
0.07080078125,
-0.044677734375,
0.0028533935546875,
-0.033447265625,
0.05517578125,
0.002105712890625,
0.041748046875,
0.01385498046875,
-0.01483154296875,
-0.02392578125,
-0.0238037109375,
-0.029296875,
-0.0281982421875,
0.0181884765625,
-0.028564453125,
-0.04516601... | 2,499 | 2499 |