content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
#include <boost/math/special_functions/beta.hpp>
namespace boost{ namespace math{
template <class T1, class T2>
calculated-result-type beta(T1 a, T2 b);
template <class T1, class T2, class Policy>
calculated-result-type beta(T1 a, T2 b, const Policy&);
}} // namespaces
The beta function is defined by:
The final... | 4 | [
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0.032470703125,
-0.0478515625,
-0.0264892578125,
-0.0035858154296875,
0.04345703125,
-0.0216064453125,
-0.046875,
-0.0306396484375,
0.028076171875,
0.002899... | 9,600 | 9600 | |
Arbias Hashani
Why do we need stochastic calculus?
July 22, 2014
It’s a good question. Prod further down the line and you begin to ask why we even need rigorous mathematics. A simple (motivating) example is sufficient to understand why calculus that extends to
dealing with random phenomena is needed.
We know with ce... | 4 | [
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0.0478515625,
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0.10107421875,
0.01171875,
0.1318359375,
0.056396484375,
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0.037109375,
-0.0250244140625,
-0.047607421875,
-0.058349609375,
-0.060546875,
-0.000301361083984375,
0... | 9,601 | 9601 | |
The Difference between Calculating Markup and Profit Margin
Date: 08/11/2006 at 19:01:33
From: Jerry
Subject: How does inverse calculations work with percentage markups
I have a question about how to calculate profit margin. We have been
calculating this as fixed costs multiplied by whatever the margin
percentage is... | 4 | [
0.0118408203125,
0.07861328125,
-0.0341796875,
0.01202392578125,
-0.0162353515625,
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0.07373046875,
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0.051513671875,
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-0.0234375,
0.015625,
0.015380859375,
0.0341796875,... | 9,602 | 9602 | |
Prove line in same plane as triangle that intersects interior, intersects a side
October 5th 2010, 06:55 PM #1
Prove line in same plane as triangle that intersects interior, intersects a side
Please let me know if the following proof is correct or not. If not a hint would be appreciated.
Given $\triangle ABC... | 4 | [
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0.00885009765625,
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0.025634765625,
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-0.00787353515625,
0.038818359375,
0.024169921875,
-0.06787109375,
-0.0815... | 9,603 | 9603 | |
What is the pattern in these numbers
Last edited by parmis; October 17th 2013 at 02:09 AM.
Hey parmis. You should note that you can fit infinitely many patterns to this series that will retain the existing numbers but given completely different numbers for those past the last number in the
series. Anyway try x(n) = 3*... | 5 | [
-0.0927734375,
0.0007476806640625,
-0.0035552978515625,
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-0.0576171875,
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0.00994873046875,
-0.0252685546875,
-0.030029296875,
-0.0220947265625,
-0.080... | 9,604 | 9604 | |
integration -- getting constants
On this page below, the person chooses the constants to be anything they want, but can you actually do that? Pauls Online Notes : Differential Equations - Reduction of Order
$<br /> \displaystyle { <br /> y_1=\frac{1}{t}<br /> }<br />$ $<br /> \displaystyle { <br /> y_2=y_1 \; u<br /> ... | 5 | [
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-0.00341796875,
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-0.055419921875,
0.044921875,
-0.030517578125,
0.... | 9,605 | 9605 | |
Circuit simplification examples
Let's begin with a semiconductor gate circuit in need of simplification. The "A," "B," and "C" input signals are assumed to be provided from switches, sensors, or perhaps other gate circuits. Where
these signals originate is of no concern in the task of gate reduction.
Our first step i... | 5 | [
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0.064453125,
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0.005950927734375,
-0.031494140625,
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0.018310546875,
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0.0927734375,
-0.1259765625,
0.141601... | 9,606 | 9606 | |
Another log question
September 5th 2009, 10:22 AM #1
Junior Member
Joined
Oct 2008
Posts
60
Another log question
Alright, I'm trying this problem and I am completely lost. Are there any websites to understand logs? I went to the tutorial in the helpful math sites section and after I got so far into, I wa... | 4 | [
-0.042236328125,
-0.0030975341796875,
0.06640625,
0.03857421875,
0.051513671875,
-0.06494140625,
-0.0172119140625,
0.0537109375,
0.0034027099609375,
0.053466796875,
0.029541015625,
-0.0255126953125,
-0.005889892578125,
0.0263671875,
-0.017578125,
0.07861328125,
-0.1640625,
0.028198... | 9,607 | 9607 | |
Math Forum Discussions
quasi
Posts: 10,202
Registered: 7/15/05
Re: An optimization problem
Posted: Sep 8, 2013 3:13 AM
>quasi wrote:
>>analyst41 wrote:
>>
>>consider f(x1,x2,...xn) = {1 + sum(xi)^2)} / {1 +sum{x(i)}
>>
>>0 <=xi <=1 for all i.
>>
>>The maximum function value of 1 occurs at either
>>all x's = 0 or all ... | 5 | [
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0.01953125,
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0.06494140625,
0.032470703125,
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0.05908203125,
-0.038330078125,
0.0172119140625,
0.087890625,
-0.0236816... | 9,608 | 9608 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Chapt15.52 correcting two errors of Old Physics-- ... | 4 | [
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-0.05517578125,
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0.013427734375,
0.0250244140625,
-0.0191650390625... | 9,609 | 9609 | |
Quick Sinusoidal Problem Help
May 22nd 2010, 01:19 PM
falconskid007
Quick Sinusoidal Problem Help
Hey guys can you help me with this one question please and maybe explain the process.
The daylight time (time between sunrise and sunset) varies sinusoidally throughout a year. The longest day of the year is th... | 4 | [
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0.043701171875,
0.08154296875,
0.040283203125,
-0.07177734375,
-0.02770996093... | 9,610 | 9610 | |
Two dimensional, non-homogenous heat equation
June 29th 2009, 01:45 AM #1
Junior Member
Joined
Mar 2009
Posts
27
Two dimensional, non-homogenous heat equation
Could someone please point me in the right direction for finding an analytical solution to the following (if one exists):
$\frac{\partial c(x... | 4 | [
-0.09814453125,
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0.0185546875,
0.09619140625,
0.0250244140625,
-0.029052734375,
0.01257324218... | 9,611 | 9611 | |
Need Help with this quadratics stuff
February 14th 2009, 10:11 PM #1
Junior Member
Joined
Feb 2009
Posts
59
Need Help with this quadratics stuff
Diagram attatched
Find:
i) the equation of the line through points A and D
ii) the coordinates of D
iii) the equation of the perpendicular bis... | 4 | [
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0.07275390625,
0.0157470703125,
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0.02734375,
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0.07568359375,
-0.00714111328125,
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0.0947265625,
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0.037841796875,
0.07275390625,
0.0004425048828125,
0.09033203125,
-0.035888671875,
0.00885... | 9,612 | 9612 | |
Parabolic Motion
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Parabolic Motion 9,206 views
If an object moving forward in a straight line is affected by gravity it will fall in a parabolic arc. Since projectiles are objects affected only by gravity, the p... | 4 | [
-0.00543212890625,
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0.05859375,
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0.0208740234375,
0.0291748046875,
-0.01177978515625,
-0.006622314453125,
-0.0213623046875,
0.06494140625,
0.001037597... | 9,613 | 9613 | |
2-pullback
$2$-pullbacks
An ordinary pullback is a limit over a diagram of the form $A \to C \leftarrow B$. Accordingly, a 2-pullback (or 2-fiber product) is a 2-limit over such a diagram.
Definition
Saying that “a 2-pullback is a 2-limit over a cospan” is in fact a sufficient definition, but we can simplify it and ... | 4 | [
-0.00069427490234375,
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0.01361083984375,
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0.0390625,
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0.0025634765625,
-0.030517578125,
0.01318359375,
0.09375,
-0.0289306640625,
-0.0703125,
0.01446533203125,
0.031494140625,
0.09814453125,
-0.02685546875,
0.0286865234375... | 9,614 | 9614 | |
Help!
April 9th 2006, 08:23 PM
Kiwigirl
Help!
A curve is defined by the parametric equations x = tē and y = 2t + 1
Find the equation of the tangent at the point where t = 2.
April 9th 2006, 09:13 PM
CaptainBlack
Quote:
Originally Posted by Kiwigirl
A curve is defined by the parametric equati... | 5 | [
-0.09326171875,
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0.045166015625,
0.0888671875,
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0.173828125,
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0.0390625,
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0.002899169921875,
0.0125732421875,
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0.1025390625,
-0.09912109375,
-0.00927734... | 9,615 | 9615 | |
Integral over Logarithm with Polynomial in the Argument
March 15th 2009, 11:58 AM #1
Newbie
Joined
Feb 2009
From
England
Posts
5
Integral over Logarithm with Polynomial in the Argument
Hello,
I would like to solve the following integral
$A(p^2 , m_R^2) = - \int dx \; ln(1 - x(1-x) \frac{p^2}{... | 5 | [
0.039306640625,
-0.004241943359375,
0.042236328125,
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0.0546875,
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0.049560546875,
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0.0322265625,
0.029052734375,
0.08154296875,
0.00836181640625,
0.076171875,
0.06298828125,
0.0388183593... | 9,616 | 9616 | |
Volume of a cylindrical shell
September 30th 2010, 08:11 AM #1
Volume of a cylindrical shell
(a) Use differentials to find a formula for the approximate volume of a thin cylindrical shell with height $h$, inner radius $r$, and thickness $\Delta r$.
This part is fairly simple-- $dV=f'(r)*dr$, assuming $h$ is ... | 5 | [
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0.06494140625,
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0.0279541015625,
-0.0281982421875,
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0.04931640625,
0.037841796875,
0.030517578125,
-0.08642578125,
0.01116943359375,
... | 9,617 | 9617 | |
Covariance - Joint PDF
April 6th 2009, 12:01 AM #1
Covariance - Joint PDF
Given:
$<br /> f(x, y) = xy^2exp(-(x+1)y) \ x, y > 0<br />$
I needed to calculate the Cov(X,Y).
So I used the formula Cov(X, Y) = E(XY) - E(X)E(Y)
The problem occurs when I go to calculate E(X).
I know $E(X) = \int_o... | 5 | [
0.0269775390625,
-0.07275390625,
-0.002532958984375,
-0.032470703125,
0.1083984375,
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-0.005096435546875,
-0.0224609375,
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0.05859375,
0.00004220008850097656,
-0.012939453125,
0.0120849609375,
0.0174560546875,
0.0212402... | 9,618 | 9618 | |
Another fraction prob
May 18th 2009, 01:35 PM #1
Junior Member
Joined
May 2009
Posts
27
Another fraction prob
I am having some difficulty finding x = 0 for this equation
$\frac{-6x^2-12x}{x^5}=0$
solve for numerator = 0
$-6x^2-12x=0$
then factorize?
$-6x(6x+2)=0$
then for $6... | 4 | [
-0.023681640625,
0.006500244140625,
-0.004364013671875,
0.08154296875,
0.0458984375,
0.022705078125,
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-0.0299072265625,
0.004852294921875,
-0.0240478515625,
0.150390625,
-0.021240234375,
0.0036773681640625,
0.0130615234375,
-0.0341796875,
0.06787109375,
-0.02355957031... | 9,619 | 9619 | |
Complex Numbers
Date: 04/11/2001 at 03:56:59
From: Rosie
Subject: Complex numbers
What exactly is the complex number system comprised of?
Thank you.
Date: 04/11/2001 at 18:01:53
From: Doctor Ian
Subject: Re: Complex numbers
Hi Rosie,
Let's start with the square root function. The most 'natural' square
roots ar... | 4 | [
-0.087890625,
0.038330078125,
0.00010538101196289062,
0.09423828125,
-0.056396484375,
-0.057373046875,
-0.0869140625,
0.07568359375,
0.08544921875,
-0.033203125,
0.02001953125,
0.0419921875,
0.01544189453125,
0.0576171875,
-0.028564453125,
-0.07373046875,
-0.07470703125,
-0.0093383... | 9,620 | 9620 | |
<complex>
Defines the container template class complex and its supporting templates.
A complex number is an ordered pair of real numbers. In purely geometrical terms, the complex plane is the real, two-dimensional plane. The special qualities of the complex plane that distinguish it
from the real plane are due to its... | 4 | [
-0.10009765625,
0.0301513671875,
-0.055419921875,
0.0123291015625,
-0.07666015625,
-0.0419921875,
0.01806640625,
-0.01507568359375,
0.08642578125,
-0.049560546875,
0.01519775390625,
-0.00946044921875,
-0.040283203125,
0.0174560546875,
0.01190185546875,
-0.1015625,
-0.052978515625,
... | 9,621 | 9621 | |
Homework Help
Posted by Anonymous on Wednesday, July 15, 2009 at 11:57am.
Prove that log a, log ar, log ar^2 is an a.p.
Is the following below correct?
Log ar^2 - Log ar= Log ar - Log a
hence applying laws of logarithm
Log(ar^2/ar) = log(ar/a)
Log and log cancels out and then cross-multiply
hence a^2r^2 = a^2r^2... | 4 | [
-0.017333984375,
0.03515625,
-0.00885009765625,
-0.000274658203125,
0.00787353515625,
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0.06396484375,
-0.08544921875,
0.06689453125,
0.056396484375,
0.01470947265625,
0.0712890625,
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0.06494140625,
-0.00640869140625,
-0.0274658203125,
-0.138671875,
0.0... | 9,622 | 9622 | |
Elementary question about Isotopy (in the definition of a Teichmuller space)
up vote 2 down vote favorite
Disclaimer - I don't have much experience in topology/complex geometry, so I apologize if what I'm asking is too elementary for this site.
Let $S$ be some orientable surface obtained by removing finitely many poi... | 4 | [
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-0.019775390625,
0.01025390625,
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0.0234375,
0.02392578125,
0.04150390625,
0.078125,
0.06982421875,
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0.053955078125,
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0.05078125,
-0.0234375,
0.00116729736328125,
-0.10546875,
0.006805419921875,
0.0303955078125,
-0.002... | 9,623 | 9623 | |
Curl (F x G) proof
April 23rd 2011, 07:15 AM #1
Senior Member
Joined
Oct 2008
Posts
393
Curl (F x G) proof
Hi
Im a bit stuck
I have done the cross multiplication
i --- j --- k
F1 --- F2 --- F2
G1 ---G2 --- G3
(F2G3 - F3G2)i + (G1F3 - G3F1)j + (F1G2 - F2G1)k
Then cross mul... | 4 | [
-0.0869140625,
0.046630859375,
-0.011962890625,
-0.04248046875,
-0.033447265625,
-0.014404296875,
0.021240234375,
-0.021240234375,
-0.023681640625,
0.042724609375,
0.0322265625,
-0.0537109375,
0.0032958984375,
-0.03369140625,
-0.02294921875,
0.035888671875,
-0.1630859375,
0.1435546... | 9,624 | 9624 | |
X^s,b spaces
From DispersiveWiki
The X^s,b spaces (also called H^s,θ spaces) are function spaces for functions on spacetime, which are adapted to linear constant-coefficient dispersive or wave operators such as the Schrodinger
operator $i\partial_t + \Delta$ or the d'Lambertian $\Box$ in much the same way that Sobol... | 4 | [
-0.053466796875,
-0.09619140625,
0.011962890625,
-0.0164794921875,
0.03857421875,
0.03369140625,
0.02294921875,
-0.00136566162109375,
0.061279296875,
-0.0654296875,
0.04541015625,
0.02197265625,
0.038818359375,
-0.04248046875,
0.068359375,
0.06884765625,
-0.005767822265625,
-0.0859... | 9,625 | 9625 | |
Truth Table
October 2nd 2012, 09:10 AM #1
Truth Table
How to construct a truth table for finding-For natural numbers m,n, is it true that mn is even iff m and n are even?
Re: Truth Table
Re: Truth Table
How about Is it true that mn is odd iff m and n are odd?
Re: Truth Table
A proposition is somethin... | 4 | [
0.006011962890625,
-0.0196533203125,
-0.0291748046875,
0.037841796875,
0.0089111328125,
0.0172119140625,
-0.0283203125,
-0.004425048828125,
0.00970458984375,
0.10546875,
-0.00787353515625,
-0.044921875,
0.0130615234375,
0.023193359375,
0.00970458984375,
-0.00250244140625,
-0.05981445... | 9,626 | 9626 | |
continuous random variable
November 4th 2010, 06:40 PM
DINOCALC09
continuous random variable
Please let me know of any errors/wrong logic
f(x) = { |x| for -1 < x <=1 , 0 elsewhere
A) Determine Cumulative Distributin Function...
F(x) = { 0 for x < -1 , -0.5(x^2) for -1 <= x < 0 , 0.5(x^2) for 0 <= ... | 4 | [
-0.03271484375,
0.013671875,
0.003997802734375,
-0.01123046875,
-0.004302978515625,
-0.0400390625,
0.037841796875,
0.06103515625,
-0.0302734375,
0.07177734375,
0.042724609375,
-0.046875,
0.08349609375,
0.08544921875,
-0.044189453125,
-0.037841796875,
-0.056396484375,
-0.1005859375,... | 9,627 | 9627 | |
Check if two line segments intersect
02-08-2013 #1
Registered User
Join Date
May 2010
Posts
29
Check if two line segments intersect
Hi,
I've written some code below to check if two line segments intersect and if they do to tell me where. As input I have the (x,y) coordinates of both ends of each lin... | 4 | [
0.011962890625,
-0.04345703125,
0.01031494140625,
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0.042724609375,
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0.03271484375,
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0.05908203125,
-0.12890625,
-0.07... | 9,628 | 9628 | |
Number of Positive Divisors
March 2nd 2011, 10:10 PM #1
Member
Joined
Dec 2009
Posts
224
Number of Positive Divisors
If d(n) denotes the number of divisors (+ve) of integer n. Prove that $d(n) \leq 2 \sqrt{n}$.
So, we are not told if n is prime or composite, so I don't know how to approach this prob... | 4 | [
0.028564453125,
-0.0498046875,
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0.061767578125,
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0.0966796875,
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0.06640625,
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0.045654296875,
0.0205078125,
-0.06689453125,
0.0279541015625,
-0... | 9,629 | 9629 | |
Convolution integral
December 3rd 2009, 10:36 PM #1
Newbie
Joined
Dec 2009
Posts
2
Convolution integral
Hey guys. just wondering if anyone can help me with this piece of convolution integral.
i am asked to convolute f(t) and g(t) where
f(t) = 2r(t-1) - 2r(t-2) - u(t-2) - u(t-3) where r is a ram... | 5 | [
-0.134765625,
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0.02197265625,
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-0.0625,
0.0047607421875,
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0.022216796875,
0.07373046875,
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-0.005584716... | 9,630 | 9630 | |
Neural Networks and Automated Differentiation
Introduction
Neural networks are a method for classifying data based on a theory of how biological systems operate. They can also be viewed as a generalization of logistic regression. A method for determining the
coefficients of a given model, backpropagation, was develop... | 5 | [
-0.109375,
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0.001983642578125,
0.002960205078125,
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... | 9,631 | 9631 | |
Matrix problem 2
1. November 1st 2009, 07:35 AM #1
2. November 1st 2009, 08:05 AM #2
Gauss, Gauss-Jordan.
show your progress.
3. November 1st 2009, 02:37 PM #3
Easier to just do it with a matrix I think, Gaussian equations are an unnecessary waste of time IMO.
(-5 2 1)( X) ... | 4 | [
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0.0380859375,
0.00885009765625,
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0.025634765625,
-0.0322265625,
-0.... | 9,632 | 9632 | |
e
Limits
Before we discuss exactly what a limit is, let's take a moment to become familiarized with the Sage Notebook, which you will be using throughout these lessons. Assuming that you have the Notebook
open, go ahead and create a new worksheet. Our work for each section will be kept in its own separate worksheet, ... | 4 | [
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0.05322265625,
0.05224609375,
-0.024169921875,
-0.037109375,
-0.0805... | 9,633 | 9633 | |
establishing identities?
February 22nd 2009, 11:18 PM
pongpong
establishing identities?
how to prove?
(cot^2 x-1) / (2 cot x) = cot 2x
cos 3x = 4 cos^3 x-3 cosx
sin 2t+sin t/1+cos t+sos 2t = tan t
THANK YOU!
February 22nd 2009, 11:46 PM
mathaddict
$\frac{cot^2x-1}{2cotx}$
$=\frac{... | 4 | [
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0.051513671875,
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0.02124... | 9,634 | 9634 | |
Graphing Linear Equations
Date: 12/26/2001 at 23:26:31
From: Cindi Smith
Subject: Slope-intercept: Graphing linear eqations
Give the intercepts of 7x - 2y = 2.
I recall doing something like this before but I do not want to steer
my son wrong. Please help with this problem - maybe it will jar my
memory and I will be... | 4 | [
-0.015380859375,
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0.07958984375,
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-0.04028320... | 9,635 | 9635 | |
Math Forum Discussions
Woody
Posts: 44
Registered: 7/29/09
Re: How to find a bounding line?
Posted: Jul 8, 2013 3:11 AM
On Sunday, July 7, 2013 6:43:41 PM UTC-7, quasi wrote:
> Firstly, it's clear that if y = ax + b is an optimal bounding
> line, then it must pass through one of the N points, otherwise
> b can be inc... | 4 | [
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... | 9,636 | 9636 | |
Intersection of Planes
October 17th 2009, 04:55 PM
skeske1234
Intersection of Planes
State whether each of the following pairs of planes intersect. If the planes do intersect, determine the eqtn of their line of intersection.
x-y+z-2=0
2x+y+z-4=0
my work:
eqtn 1 + eqtn 2
3x+2z-6=0
x=-2... | 5 | [
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0.0419921875,
-0.10107421875,
-0.11962890... | 9,637 | 9637 | |
Recurrence relation question
December 31st 2009, 06:22 PM
dhammikai
Recurrence relation question
Let $Z_{n+1}=Z_{n}^{2}+2i$ and $Z_0=0.5+02.i$. Find $Z^{10}$ value and hence deduce the $Z_n$ when $n \longrightarrow \alpha$
here my calculations are
$Z_1=(0.5+0.2i)^2+2i=(0.2+2.2i)$
$Z_2=(0.2+2.2i)^2+2... | 4 | [
-0.1328125,
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0.0341796875,
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0.08984375,
0.004302978515625,
-0.01513671875,
-0.04541015625,
-0.0195312... | 9,638 | 9638 | |
Solutions to differential equations
November 15th 2008, 12:12 PM
Scopur
Solutions to differential equations
I have (okay i cant get it to work.. it shows up in my latex but not here.. so here it is in non- latex format)
d/dt $[y_1 y_2 y_3]^T$ = [Math] \left[ \begin {array}{ccc} 1&0&0\\\noalign{\medskip}0&-1... | 5 | [
-0.1328125,
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0.0067138671875,
0.015869140625,
0.06884765625,
-0.0830078125,
-0.0150756835937... | 9,639 | 9639 | |
The vanishing of the 2nd plurigenus of a sextic threefold
up vote 2 down vote favorite
I'm reading a recent preprint by Beauville on the nonrationality of a specific sextic threefold $X$ which is a complete intersection of a quadric and a cubic in $\mathbb P^5$. At some point he uses
that $H^0(X,\Omega^2)=0$, and I w... | 5 | [
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0.009... | 9,640 | 9640 | |
Math Help
April 9th 2008, 01:06 AM #1
Junior Member
Joined
Mar 2008
Posts
60
limits
$lim_{x\rightarrow0}\ \frac{x(cosx-1)}{sinx-x}$
$lim_{x\rightarrow0}\ \frac{\sqrt{a(a+x)}-a}{x}\ , a>0$
$lim_{x\rightarrow{\pi/2}}\ \frac{ln(sinx)}{(\pi-2x)^2}$
$lim_{r\rightarrow1}\ \frac{a(r^n-1)}{r-1} ,... | 5 | [
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Projection of line on plane
June 1st 2011, 05:15 PM #1
Junior Member
Joined
Oct 2010
Posts
29
Projection of line on plane
Given $\pi: \begin{cases}l_1: \frac{x-2}{4}\ = \frac{y-1}{2}\ = \frac{z+5}{-4} &\\l_2: \frac{x+4}{-2}\ = \frac{y+1}{0}\ = \frac{z}{1} & \end{cases}$ and the point $M=(1,2,3)$ outside ... | 4 | [
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2 Optimization Problems
November 26th 2012, 07:48 AM
AZach
2 Optimization Problems
1) A box is to be made out of 12 square feet of material. The marketing department wants the length of the box to be twice its width. What dimensions will maximize the volume of the box?
I have the obj function as $V (l, w, h... | 5 | [
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Worthwhile Canadian Initiative: Boys, retention, and multiple regression
A followup to my previous post on university retention and males.
Assume boys and girls are identical, except: there's something in the water at high schools that causes boys to do worse than girls; and there's something in the water at universit... | 4 | [
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Kepler and his Laws
Goals: The student will learn
• About Tycho Brahe, his work and his connection with Kepler.
• About Kepler and his laws--and introduction to the subject.
• About conic sections, qualitatively.
• The mathematical formulation of the third law, and its explicit form for artificial Earth sat... | 4 | [
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-0.046142578125,
0.... | 9,645 | 9645 | |
finite Extension of Fp Galois
March 19th 2010, 07:04 PM #1
Newbie
Joined
Feb 2010
Posts
3
finite Extension of Fp Galois
Are all finite Extensions of Fp (the field w/ p elements) Galois?
My understanding is no, since finite Galois $\iff$ normal and separable.
Then as a counterexample, in $\frac{... | 5 | [
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Math Help
January 19th 2010, 03:34 AM #1
Newbie
Joined
Nov 2009
Posts
23
Logs
Given that logab(a)=4, calculate logab 3√a /√b. Start with the exponent property of logs, then the quotient rule, and then change of base.
Hello KingV15
I'm guessing that the question is:
Given $\log_{ab}(a) = 4$,... | 4 | [
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show ring isomorphism
April 4th 2010, 03:08 PM
dori1123
show ring isomorphism
Let $R$ be a ring and $M$ an $R$-module.
$Hom_R(R,M)$ is the set of $R$-homomorphisms from $R$ to $M$.
Define $\phi: Hom_R(R,M) \rightarrow M$ by $\phi(f)=f(1)$. Show $\phi$ is a ring isomorphism.
I know how to show it is a... | 4 | [
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0.031982... | 9,648 | 9648 | |
News Room - Trulia.com - Rent vs. Buy Report
Rent vs. Buy Report
Trulia's Rent vs. Buy Report provides the inside scoop on whether buying a home is more affordable than renting in America’s 100 largest metropolitan areas.
Past Reports
Full Methodology
(Click here to download a PDF copy of the full methodology)
T... | 4 | [
0.060546875,
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0.0166015625,
0.09130859375,
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0.045654296875,
0.006... | 9,649 | 9649 | |
Probability Density Function of a function
August 26th 2013, 12:14 AM
Rafael
Probability Density Function of a function
Dear All,
let us say we have PDF(x) i.e. probability density function of variable x. How to find probability density function for f(x), PDF(f(x))?
Particularly
PDF(x) is
http... | 5 | [
-0.0169677734375,
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0.037353515625,
0.0164794921875,
0.01116943359375,
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-0.00086975097656... | 9,650 | 9650 | |
Confidence Interval and Standard Deviation
May 17th 2009, 03:30 AM
Phil32686
Confidence Interval and Standard Deviation
I can't get these ones at all x.x please help
ABC College Bookstore sells Ti83 calculators. The random number of calculators sold per day along with the probabilities is:
# of calcul... | 4 | [
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0.0615234375,
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0.01904296875,
-0.0... | 9,651 | 9651 | |
A Funtion of 3 uniform, continuous random variables
March 25th 2009, 07:23 AM
phillips101
A Funtion of 3 uniform, continuous random variables
The question is:
Given X,Y,Z are uniformly distributed on (0,1), and are independant, prove that (XY)^Z is also uniform on (0,1)
I know the PDF of XY. My main qu... | 5 | [
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-0.03515625,
-0.08837890625,
-0.0... | 9,652 | 9652 | |
need help with cdf homework
October 20th 2009, 10:54 AM
affelix
need help with cdf homework
For each of the following functions, (1) find the constant, (2) find the c.d.f. F(x), (3) sketch graphs of f(x) and F(x) and (4) find mu and sigma squared.
1. f(x) = x^2/3, 0 < x < c
2. f(x) = (3/16) x^4; -c < x... | 4 | [
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0.0196533203125,
-0.07470703125,
0.001800537109375,
0.02160644531... | 9,653 | 9653 | |
Fuction help!!!
February 27th 2009, 09:56 AM
lucy2284
Fuction help!!!
I need some help with function problems. Thanks!!!
1. find the domain of p(x)=(x^2-2x/x-1) all under a square root sign.
I was thinking that x could not equal 1,2 the 1 would make the denominator 0 and the 2 would make the numerator 0... | 4 | [
0.00151824951171875,
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0.0322265625,
0.0537109375,
0.051025390625,
0.08203125,
-0.0537109375,
0.057861328125,
0.0196533203125,
-0.046875,
0.0301513671875,
-0.0296630859375,
-0.0... | 9,654 | 9654 | |
Homework Help
Posted by maura (urgent!!) on Wednesday, September 12, 2012 at 9:53pm.
Can someone please help me with these two? im so lost and i really appreciate it if someone could show me what to do!
1) To evaluate
lim x→infinity sqrt (x^2 + 4)
first consider that as x becomes infinitely large, x^2+4 -> _____
2... | 5 | [
-0.02001953125,
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0.0223388671875,
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-0.00050... | 9,655 | 9655 | |
simple stats questions #2
September 3rd 2009, 02:45 AM
wik_chick88
simple stats questions #2
hey everyone!! have a few questions that are for an economics subject but are basic stats stuff, and ive done them i just wanted someone to check if i have the right/wrong answer and help me if i
have the wrong answe... | 4 | [
0.0517578125,
0.01416015625,
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-0.0123291015625,
0.0079345703125,
0.037841796875,
0.023681640625,
-0.0563964843... | 9,656 | 9656 | |
What is Energy Loss?
Energy loss is the action of transferring otherwise usable energy into a form that is no longer useable, either by losing control over the method the energy is transferred and converted, losing
energy to waste as a function of that conversion or transfer or by the waste in conduction between mediu... | 4 | [
-0.030029296875,
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... | 9,657 | 9657 | |
Poincare group
Context
Riemannian geometry
Basic definitions
Further concepts
Theorems
Applications
Differential geometry
Contents
Definition
The Poincaré group $ISO(d,1)$ is the isometry group of Minkowski spacetime of dimension $d+1$. The classical case is $ISO(3, 1)$, the group of affine transformations on ... | 4 | [
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-0.0... | 9,658 | 9658 | |
Different ways of thinking about the derivative
up vote 20 down vote favorite
13
In Thurston's philosophical paper, "On Proof and Progress in Mathematics", Thurston points out that mathematicians often think of a single piece of mathematics in many different ways. As an example,
he singles out the concept of the deriv... | 4 | [
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0.... | 9,659 | 9659 | |
domain and 1 to 1..ps dan you rock
March 30th 2006, 11:05 AM #1
Newbie
Joined
Mar 2006
Posts
4
domain and 1 to 1..ps dan you rock
id like to thank you dan for your previous help.....it really helped me understand how the process worked
I have 2 questions if anyone could help me
with F(x) = squ... | 4 | [
-0.00738525390625,
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-... | 9,660 | 9660 | |
Finding an exact number
March 13th 2010, 04:24 AM #1
Junior Member
Joined
Mar 2009
Posts
62
Finding an exact number
Hi,
Let's say I have the number 1.414213562, now I know that can be expressed as sqr[2]. If I didn't know that, how could I find it out? I just ask as sometimes I get a number and don'... | 5 | [
0.0126953125,
-0.01434326171875,
-0.00151824951171875,
0.0274658203125,
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0.08251953125,
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0.0341796875,
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-0.028076171875,
-0.01953125,
0... | 9,661 | 9661 | |
modular arithmetic
Article Free Pass
modular arithmetic, sometimes referred to as modulus arithmetic or clock arithmetic, in its most elementary form, arithmetic done with a count that resets itself to zero every time a certain whole
number N greater than one, known as the modulus (mod), has been reached. Examples ar... | 4 | [
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0.07421875,
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-0.09716796875,
-0.07421875,
0.04150390625,... | 9,662 | 9662 | |
problem in diagonalizing a matrix
November 17th 2010, 06:08 AM #1
Junior Member
Joined
Aug 2010
Posts
57
problem in diagonalizing a matrix
$\begin{bmatrix}-1&-1&1\\0&-2&1\\0&0&-1\end{bmatrix}$
Eigenvalues of the matrix are -1,-1,-2.
-1 with algebric multiplicity 2.
Eigenvectors for -1 are ... | 4 | [
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0.05712890625,
-0.0030670166015625,
-0.094726... | 9,663 | 9663 | |
A puzzle of 2 intersecting circles
April 4th 2012, 10:00 AM #1
Newbie
Joined
Apr 2012
From
Barcelona
Posts
2
A puzzle of 2 intersecting circles
Dear community, this is my first post on mathhelpforum and I would be really very grateful for some assistance with this problem. I am going quite crazy!
... | 4 | [
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-0.061279296875,
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-0.041503... | 9,664 | 9664 | |
James Colliander's Blog
Analysis & Applied Math Seminar 2013-03-21
Speaker: Zaher Hani
Institution: New York University
Abstract: Inspired by the general paradigm of weak turbulence theory, we consider the 2D cubic nonlinear Schrödinger equation on a box of size L with periodic boundary conditions. In an
app... | 4 | [
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-0.0127563476562... | 9,665 | 9665 | |
[SOLVED] Hard Quadratic Equation
August 30th 2007, 06:34 AM #1
audiogeek
Guest
[SOLVED] Hard Quadratic Equation
This is a straightforward math question to solve for R.
R^2(1/((Y^2)(X^2)))+R((2/(YX))-1)=1
I've spent a while trying to figure this out. Any help would be greatly appreciated! Thanks!
-M... | 4 | [
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... | 9,666 | 9666 | |
Point by Point Method for Lighting Design
I indicted before in our course " Advanced Course for Lighting Design - Level I ", that we can design interior lighting by using any method from the following three ones:
1. The Zonal Cavity (Lumen) method,
2. Point by point method,
3. Watt per square feet method.
To... | 4 | [
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-0.0... | 9,667 | 9667 | |
Kinematics
February 16th 2009, 05:32 AM #1
Member
Joined
Sep 2008
Posts
239
Kinematics
Im sure this is very easy but just learning
V=velocity
A=acceleration
S=displacement
t=time
if V=4t+5 and S=10m when t=1s, find S when t=2s
just not sure what to do :/
ds/dt=4t+5
Int... | 4 | [
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0.087890625... | 9,668 | 9668 | |
divergence of unit vector
May 29th 2011, 05:06 PM
ulysses123
divergence of unit vector
show that the divergence of the unit vecotor r is 2/r
I have done this using cartesian coordinates which is quite tedious,i was hoping someone could show me a way to do it with tensors
May 29th 2011, 07:30 PM
TheEmptySe... | 5 | [
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Definite Integral
Have you tried integration by parts? Of course, romsek's solution works if all you need is the answer - you will have to put the correct polynomial in the denominator. - Hollywood
Last edited by hollywood; April 27th 2014 at 10:14 PM.
My Trial solution:: $\int_{0}^{\infty}\frac{\ln(x)}{x^2+2x+4}dx =... | 5 | [
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On Spearman's Correlation Coefficients with Excel
On Spearman’s Correlation Coefficients with Excel
10 Thursday Jun 2010
Posted in SEO Myths
I know I mentioned this before, but I keep getting the same question. How to compute Spearman correlation coefficient (rho) with Excel for a data set consisting of a relativ... | 5 | [
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0.015869140625,
-0.0194091796875,
0.003997802734375,
0.0040283203125,... | 9,671 | 9671 | |
Scale n' Bowl IV - posted November 22, 1999
A Math Forum Project
... | 4 | [
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Need help computing the derivative of a function using a particular definition
January 27th 2013, 07:42 PM #1
Hello,
Our instructor included a homework problem that requires me to use to use a particular definition to compute the derivative, but he never went over the definition in class, and our textbook
... | 4 | [
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0.0181884765625,
-0.02978515625,
0.015... | 9,673 | 9673 | |
A problem involving complex numbers in polar form
September 1st 2010, 03:53 PM #1
A problem involving complex numbers in polar form
I'm having some problems with this question. It is as follows;
A and B are two points on a computer screen. A program produces a trace on the screen to execute the following alg... | 4 | [
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0.053955078125,
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0.0546875,
0.042236328125,
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-0.0986328125,
-0.06079101... | 9,674 | 9674 | |
A Neighborhood of Infinity
The most important equation in mathematics is x^2=0
Sir Michael Atiyah
Automatic Differentiation (also known as AD) is a great way to numerically compute derivatives of functions which is 'exact' (up to machine precision) and yet is easy to implement and can run fast.
In particular ... | 4 | [
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-0.0400390625,
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0.07568359375,
-0.083... | 9,675 | 9675 | |
Challenge #12 solution, part III
Posted on April 24, 2008 by Brent
And now for the solution to problem #3 from Challenge #12, which asked: how many ways are there to write a positive integer n as a sum of powers of two, with no restrictions on how many powers of two
may be used?
In the comments to Challenge #12, Jon... | 5 | [
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-0.077636... | 9,676 | 9676 | |
hermitian matrix over C
March 1st 2011, 10:07 PM
guin
hermitian matrix over C
Do anyone has an example of nxn hermitian matrix with complex entries which has repeated eigenvalues?
If can make the n as small as possible. Thank you
March 1st 2011, 10:30 PM
Drexel28
March 3rd 2011, 07:02 PM
guin
But if ... | 5 | [
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-0.021240234375,
-0.0537109375,
0.0146... | 9,677 | 9677 | |
Matlab programming
December 10th 2007, 05:35 PM
sensitive
Matlab programming
I am given this question
and ask to construct a numerical generative model for an autoregressive oreder two; xt - xt-1 + 0.5xt-2 = et. generate and plot 256 time series then numerically obtain the spectrum and plot them.
where... | 4 | [
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... | 9,678 | 9678 | |
Verification of Maximum
Objective: Verification of Maximum power transfer theorem.
Maximum power is transferred from a source of given voltage and an internal impedence to the load impedence Z[L ]in a circuit (Fig.-1) under three conditions.
(A) When only X[L] is adjustable:
Under this condition the power consumed ... | 4 | [
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... | 9,679 | 9679 | |
Showing that the differential form is exact;
March 23rd 2009, 05:49 PM #1
Junior Member
Joined
Jan 2009
Posts
58
Showing that the differential form is exact;
I started this question and got stuck;
Show that the differential form in the integral is exact. Then evaluate the integral:
Integral fro... | 5 | [
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-0.02978515625,
-0.0235595703125,
-0.03442382812... | 9,680 | 9680 | |
Mathematical Sciences Research CollectionUniversal Taylor series, conformal mappings and boundary behaviourBoundary Behaviour of Universal Taylor Series on Multiply Connected DomainsStationary Boundary Points for a Laplacian Growth Problem in Higher DimensionsPolyharmonic functions of infinite order on annular regionsT... | 4 | [
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-0.01336669921875,
-0.0834960... | 9,681 | 9681 | |
worst regularity of f ensuring u is locally Lipschitz for $\Delta u = f$
up vote 2 down vote favorite
Assume $M$ is a Riemannian manifold, and $\Omega $ is a bounded domain. Consider the Poisson equation: $$\Delta u = f \qquad \text{with }u \in {W^{1,2}}$$ What is the worst regularity of $f$ which
ensures $u$ is local... | 4 | [
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0.039306640625,
0.0020904541015625,
-0.0... | 9,682 | 9682 | |
Simplifying a term
October 23rd 2009, 02:23 AM
shadow147
Simplifying a term
Hello,
Can anyone help me simplifying this term?
a AND (a xor b)
I know that I can write it like this:
(a AND not b) OR (not a AND b)
But how to simplify further? Would be grateful for any help. Thanks!
October ... | 4 | [
0.0166015625,
0.038330078125,
0.02587890625,
-0.0673828125,
0.03759765625,
0.01275634765625,
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-0.0400390625,
-0.0252685546875,
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Interpretation of Riemann tensor antisymmetry
up vote 5 down vote favorite
2
We know that the Riemann tensor is antisymmetric with respect to the first two vectors (the vectors that we parallel transport the third vector around the parallelogram made by their integral
curves).
But what is the geometric interpretation... | 4 | [
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0.00897216796875,
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0.... | 9,684 | 9684 | |
To what extent is convexity a local property?
up vote 11 down vote favorite
5
A polyhedron is the intersection of a finite collection of halfspaces. These halfspaces are not assumed to be linear, i.e. their bounding hyperplanes are not assumed to contain the origin. The
support Supp(M) of a collection M of polyhedra i... | 5 | [
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-0.04858398437... | 9,685 | 9685 | |
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Topic: minor revisions of Proof of the No Odd Perfect (ex... | 4 | [
-0.09814453125,
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-0.022338867... | 9,686 | 9686 | |
Infinitely many solutions to: x^2-dy^2=+/-1
August 18th 2008, 12:33 PM #1
Member
Joined
Jul 2008
Posts
78
Infinitely many solutions to: x^2-dy^2=+/-1
I need help understanding the following theorem.
Theorem. Suppose d is a positive integer. If there is one solution to the Fermt-Pell equation (1): $x... | 5 | [
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Capacitors in Parallel
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See what all the buzz is about
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Capacitors in Parallel 7,941 views
Capacitors in parallel allow the charge a choice of capacitors. Potential difference is the same with multiple parallel capacitors but the charge adds. ... | 4 | [
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Need help calculating a Residue
December 24th 2010, 08:57 AM #1
Junior Member
Joined
Aug 2009
Posts
36
Need help calculating a Residue
I am trying to integrate log(x)/( (1+x^2)^2) and I'm stuck at trying to find the residue of that function at i. I've tried expanding it to find the coefficient of (x-i) b... | 5 | [
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0.011108... | 9,689 | 9689 | |
Factoring! YUCK!
September 17th 2008, 03:20 PM
epetrik
Factoring! YUCK!
1.) 36x+18xy-9y-18
2.) 4-36x^2
3.) 42x^2-24
4.) 12x^2-5xy-3y^2
5.) -14r^2-11rs+15s^2
6.) x^4-x^2-30
I'm really struggling with this so any help would be greatly appreciated!
September 17th 2008, 03:29 PM
Jhevon
... | 4 | [
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[6.17] Cutoff Energy Behavior for an Ideal Gas
34th Meeting of the AAS Division on Dynamical Astronomy, May 2003
6 Poster Papers
Posters, Monday, May 5, 2003, 8:00pm,
[Previous] | [ 6] | [Next]
[6.17] Cutoff Energy Behavior for an Ideal Gas
M. Cahill (U. Wisconsin, Washington County)
The energy distribution for an ... | 4 | [
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... | 9,691 | 9691 | |
Putting Some Spin On It
University of St Andrews scientists create ‘fastest man-made spinning object’
The team then used the miniscule forces of laser light to hold the sphere with the radiation pressure of light – rather like levitating a beach ball with a jet of water.
They exploited the property of polari... | 4 | [
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TRACEvenus
Calculating the Astronomical Unit
during a Transit of Venus
... | 5 | [
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Conditional Density question!
May 6th 2010, 05:37 AM #1
Junior Member
Joined
Jan 2010
Posts
43
Throughout this question
X and Y will be continuous random
variables which have joint probability density function
f
X;Y
( x, y) = c x y2 if 0 < y < x < 4 ;
= 0 otherwise
... | 5 | [
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... | 9,694 | 9694 | |
Analytic Geometry- Analyse y^2 + 6y +2x + 1 = 0
December 6th 2011, 08:18 PM #1
Newbie
Joined
Oct 2011
Posts
18
Analytic Geometry- Analyse y^2 + 6y +2x + 1 = 0
Hello,
I need help with this problem:
Analyze the equation y^2 + 6y +2x + 1 = 0
By analyze the problem means to find the center, fo... | 4 | [
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How To Get The Inverse In A 3x 3 Matrix?
March 22nd 2011, 11:10 AM
AlphaRock
How To Get The Inverse In A 3x 3 Matrix?
A = [3x3] Matrix =
-1 3 -1
2 -2 3
-1 1 2
How Do We Get (A)^(-1) (The inverse of A)?
I would show an attempt at the solution, however, I am clueless about this.
March 22nd ... | 5 | [
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External Direct Product Question
November 18th 2010, 06:28 AM #1
Junior Member
Joined
Feb 2010
Posts
42
External Direct Product Question
Question:
If p and q are odd primes and m and n are positive integers show why $U(p^m) \oplus U(q&n)$ is not cyclic
where U(n) = { a < n | gcd(a,n)=1}
At... | 5 | [
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Interest
May 26th 2008, 10:13 AM
VDestinV
Interest
I am working on interest questions and there are a few I cannot figure out.
1) Calculate the present value of each investment, given the final value of the investment.
b) $10 775.64 after 50 years at 8% compounded monthly.
2) John loans $6000 to h... | 4 | [
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Cylinder and Sphere
February 16th 2008, 07:53 AM #1
Junior Member
Joined
Feb 2008
Posts
61
Cylinder and Sphere
A cylinder of length 2x is inscribed in a sphere of radius a. Between one end of this cylinder and the sphere, another cylinder of length 2y is inscribed with one end on an end of the first
... | 5 | [
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