content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Cole Ingraham
July 6, 2014 in Music, Thoughts
A common thing to do when working with pitch is transpose them by some amount: down a 4th, up an octave, etc. If you are working with equal temperament (12 or other) you simply add your transposition
interval to every note:
[0, 4, 7] + 4 = [4, 8, 11]
or
[C, E, G] up a M3 ... | 4 | [
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0.12... | 21,700 | 21700 | |
Determine tanx if secx=(sqrt14)/2 and is in the second quadrant
April 6th 2009, 07:22 AM
skeske1234
Determine tanx if secx=(sqrt14)/2 and is in the second quadrant
Can someone explain this to me please?
Determine tanx if secx=(sqrt14)/2 and is in the second quadrant
How would I approach this because I ... | 4 | [
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Math Help
July 29th 2006, 07:11 PM #1
Junior Member
Joined
Mar 2006
Posts
35
integral
can someone help me do this
the intergral, square root of 1 + 9x^4 dx
i can't seem to figure it out
thanks
It might be an elliptic integral, were you working with ellipse when you got it?
nertil1
... | 5 | [
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Implicit Differentiation of a Trignometric Function
November 15th 2009, 03:14 PM #1
Implicit Differentiation of a Trignometric Function
Use implicit differentiation to find the second derivative:
> $y+ sin y = x$
$dy/dx + cosy dy/dx = 1$
$dydx (1+cosy) = 1$
$dy/dx = 1/1+cosy$
$d^2y/dx^2 =... | 5 | [
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Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 348384, 17 pages
http://dx.doi.org/10.1155/2012/348384
Research Article
Numerical Oscillations Analysis for Nonlinear Delay Differential Equations i... | 5 | [
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Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 832701, 18 pages
http://dx.doi.org/10.1155/2013/832701
Research Article
Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting
... | 5 | [
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How high will a balloon rise?
If the volume of the balloon and the density of air did not change with height, one could hang up 1004 g of weight to the balloon -> then 1004 g + 200 g will balance the buoyant force on 1 m^3 large
balloon. This means the rope could be 1 km long (1004 m).
However, the density of air and ... | 4 | [
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Multiple choice
February 23rd 2008, 06:58 PM
run_run_3
Multiple choice
Hi
can anyone help me with the problem below?
The total cost for five items of repair work on a car was $195. Overhaul of the carburetor cost twice as much as the tune-up, brake pads cost one-third as much as the carburetor overhau... | 4 | [
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Unit tangent, unit normal, unit binormal, curvature
s3a
1. The problem statement, all variables and given/known data
Question:
"Find the unit tangent, normal and binormal vectors T, N, B, and the curvature of the curve
x = 4t, y = -3t^2, z = -4t^3 at t = 1."
Answer:
T = 0.285714285714286 i - 0.428571428571429 j - 0... | 5 | [
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symmetry expansion of a polynomial.
June 5th 2011, 01:24 PM #1
Member
Joined
Oct 2010
From
Heart of Winter
Posts
115
Thanks
1
symmetry expansion of a polynomial.
hi everyone,
I have this equation which has sigma notation. I need to expand the sigma into factors and solve for x.
$\unders... | 5 | [
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Physics Forums - View Single Post - Energy of a dielectric
I've examined and re-examined the proof that the energy density of a linear dielectric is [itex]u=\frac{1}{2}\mathbf{D}\cdot\mathbf{E}[/itex], but I still don't understand it. I'll rewrite it here
and try to explain what I'm having trouble grasping.
We first ... | 4 | [
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Find the area surrounding the curves
October 21st 2007, 09:13 PM #1
Newbie
Joined
Sep 2007
Posts
10
Find the area surrounding the curves
Like the header says.
a) y = x, y = 1/sqrt(x), x = 2
b) sqrt(x) + sqrt(y) = 1, x = 0, y = 0
Have been dwelling over this for some time, so I figured.. Wh... | 5 | [
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A question on line integral= urgent help please
October 17th 2007, 01:18 PM #1
Member
Joined
Jul 2007
Posts
151
From the textbook conclusion formula => reversing the orientation of the curve changed the sign of the line integral.
eg. Evaluate integral sub c of 3xy dx, where c is the line segment join... | 5 | [
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Does the equation y = (x – p)(x – q) intercept the x-axis at
Author Message
TAGS:
Does the equation y = (x – p)(x – q) intercept ... | 4 | [
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Brevet US3360610 - Bandwidth compression utilizing magnitude and phase coded signals representative of the input signal
Dec. 26, 1967 J. FLANAGAN BANDWIDTH COMRESSION UTILIZING MAGNITUDE AND PHASE CODED SIGNALS REPRESENTATIVE OF THE INPUT SIGNAL 5 Sheets-Sheet 1 Filed May 7, 1964 /N l/E N 7' OR HVJ, L FL ANAGA/v A T
ro... | 4 | [
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0.012023... | 21,714 | 21714 | |
Patent US6278736 - Motion estimation
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention relates to a method and device for estimating motion vectors, and to a video display apparatus comprising such a device.
2. Description of the Related Art
EP-B-0,410,826 [1] discloses a method of performing a re... | 4 | [
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... | 21,715 | 21715 | |
Find a prime number
January 30th 2008, 02:33 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Find a prime number
Prove that if an integer n > 2, then there exist a prime number p such that n < p < n!
My proof.
Let p be a prime divisor of n!-1, then $p \leq n!-1 \leq n!$.
If p = n... | 5 | [
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0.031494140625,
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newtons cooling law. I need help with this problem. Thank you.
October 13th 2012, 04:53 PM
ALAIN971
newtons cooling law. I need help with this problem. Thank you.
A thermometer reading 70°F is placed in an oven preheated to
a constant temperature. Through a glass window in the oven
door, an observer reco... | 5 | [
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0.00634765625... | 21,717 | 21717 | |
Finding diagonalize matrix
November 2nd 2010, 08:06 AM
maria88
Finding diagonalize matrix
I need help finding an orthogonal matrix P which diagonalize the matrix M6
Matrix M6:=
17 16 16
16 17 16
16 16 17
I think that the eigenvalues of the matrix are 1 and 49/33 but i'm not sure.
Also i... | 5 | [
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Investigation of SSR Characteristics of Hybrid Series Compensated Power System with SSSC
Advances in Power Electronics
Volume 2011 (2011), Article ID 621818, 8 pages
http://dx.doi.org/10.1155/2011/621818
Research Article
Investigation of SSR Characteristics of Hybrid Series Compensated Power System with SSSC
^1Schoo... | 4 | [
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-0.0135498046875... | 21,719 | 21719 | |
Differential Equations and Variation of Parameters
April 6th 2007, 09:23 AM #16
For the last solution,
y'''+y'=sec t
You can let z=y'
To get,
z''+z=sec t
The general solution to homogenous equation is:
z=C_1sin(t)+C_2cos(t)
Then you can find particular via Lagrange's Variation of... | 5 | [
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0.... | 21,720 | 21720 | |
Birthday Chances
Comment on Birthday Chances
Download Code
Re: Birthday Chances
by belg4mit (Prior) on Feb 14, 2002 at 23:51 UTC
You forg... | 4 | [
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-0.06396484375... | 21,721 | 21721 | |
Multiplication and division by 0
August 8th 2012, 01:47 PM #1
Newbie
Joined
Aug 2012
From
Romania
Posts
2
I have already looked for many answers but none of them appears to satisfy my question.
I can imagine why everything divided by 0 makes no sense and has no solution.
x divided by 0 means ... | 4 | [
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... | 21,722 | 21722 | |
integration problem
May 23rd 2011, 02:43 PM #1
Member
Joined
Nov 2010
Posts
93
integration problem
Hello, I am trying to solve the following question related to my integration course:
The current I (Amps) in a conductor at time t (seconds) satisfies the law, (dI/dt) + kI = 0, where k is a constant.
... | 4 | [
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-0... | 21,723 | 21723 | |
Converting milliamp hours into work
DaleSpam
A battery is based on a electro chemical reaction which has a specific voltage, so you cannot vary the voltage.
You can choose the voltage by choosing which battery.
DaleSpam
If you take a voltage times a current, what kind of unit do you have?
Power.
What if you c... | 4 | [
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Does formula exist for this sum?
You can solve this by hand by using a neat trick.
Form the auxiliary function (*):
[tex]F(x)=\sum_{i=1}^{i=n}(\frac{x}{2})^{i}[/tex], that is, F(x) is readily seen to be related to a geometric sum, with alternate expression (**):
[tex]F(x)=\frac{1-(\frac{x}{2})^{n+1}}{1-\frac{x}{2}}-1[/... | 5 | [
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0.038330078125,
0.02... | 21,725 | 21725 | |
More dice trick questions
February 5th 2011, 06:38 PM #1
Newbie
Joined
Sep 2010
Posts
12
More dice trick questions
I hope these aren't too hard for the basic statistics forum, but some friends and I are disagreeing on the answers to these two questions:
1) Show that if two dice are loaded with the s... | 5 | [
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... | 21,726 | 21726 | |
Math Help
July 19th 2008, 02:29 AM #1
Member
Joined
Mar 2007
From
England
Posts
104
Congrences
Could someone please explain to me how to do this question:
3x=5(mod 7)
The answer is 4 but I'm not sure how to get there.
Help would be appreciated.
Hello,
You have to perform a di... | 5 | [
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0.00159454345703125,
-0.11181640625,
0.0289... | 21,727 | 21727 | |
difficult improper integral
March 6th 2010, 02:44 PM #1
Member
Joined
Aug 2008
Posts
249
difficult improper integral
integral (from 0 to infinite) of e^(-2x) / sqrt(x). i tried letting u = sqrt(x) so that x = u^2 and dx = 2u du and that turned my integral into 2 integral (from 0 to infinite) of e^(-2u^2)... | 5 | [
0.0048828125,
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Patente US5430654 - Method and apparatus for improving the accuracy of position estimates in a satellite based navigation system
FIELD OF THE INVENTION
This invention relates generally to the field of navigation systems which use a constellation of Earth-orbiting satellites to determine the position of a receiver at o... | 4 | [
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0.02... | 21,729 | 21729 | |
Example: Safe
Subsections The code of Professor Smart's safe is a sequence of 9 distinct nonzero digits C[1],..., C[9] such that the following equations and inequations are satisfied:
cC[4] - C[6] = C[7]
... | 4 | [
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Verifying by substitution.
October 5th 2008, 02:35 AM #1
Verifying by substitution.
Here's the question:
Verify by substitution that $y(t)=4sin(t^2)-3cos(t^2)$is a solution to $t \frac{d^2y}{dt^2}-\frac{dy}{dt}+4t^3 y=0, t>0.$
I decided to do this question by differentiating y twice (to get $\frac{d^... | 4 | [
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0.0625,
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0.021... | 21,731 | 21731 | |
Circular Functions Application
October 29th 2010, 03:00 AM #1
Junior Member
Joined
Oct 2010
Posts
63
Circular Functions Application
Question Is:
It is suggested that the height h(t) meters of the tide above mean sea level on 1st january at Warnung is given approximately by the rule h(t) = 4sin(pi/6t... | 4 | [
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-0.062... | 21,732 | 21732 | |
Moment generating function from p.d.f
November 30th 2011, 06:24 AM
Shizaru
Moment generating function from p.d.f
X has chi square distribution with 4 degrees of freedom, with pdf
$f_{X}(x) = \frac{xe^-\frac{x}{2}}{4}, x>0$
(i) Find the moment generating function.
Now I did moment generating functi... | 5 | [
0.004241943359375,
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0.020263671875,
-0.004364013671875... | 21,733 | 21733 | |
proving the function is even
April 17th 2010, 04:01 AM #1
Junior Member
Joined
Jan 2010
Posts
49
proving the function is even
Let f(x) be a function. prove that :
(a) g(x) =1/2[f(x)+f(-x)] is an even function
(b) h(x) = 1/2[f(x)-f(-x)] is an odd function
(c) hence show that every function ... | 4 | [
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-0.0... | 21,734 | 21734 | |
Pricing of American Put Option under a Jump Diffusion Process with Stochastic Volatility in an Incomplete Market
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 236091, 8 pages
http://dx.doi.org/10.1155/2014/236091
Research Article
Pricing of American Put Option under a Jump Diffusion Process with Stocha... | 4 | [
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-0.0561523437... | 21,735 | 21735 | |
Efficiency of an infinite series of Carnot cycles
Iraides Belandria
Thanks Andrew for your help, but I still have a question because I have to sum infinite cycles and divide by n. ¿How can I get a numerical answer?. Because of this I use the mean value theorem of
calculus. ¿Is that correct?
You would have to work out... | 5 | [
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Econometrics: MR, Revenue, profit.
September 1st 2009, 04:42 PM
princess_anna57
Econometrics: MR, Revenue, profit.
The cost (in 000's) of producing x thousands of loudspeaker systems is TC = x^3 + 3x^2 - 10x + 2. Price (p) and quantity demanded (x) which are both required to be non-negative are related by p =
... | 5 | [
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Physics Forums - View Single Post - Linear Algebra, Linear Transformations
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,346
Saying there is a unique linear tranformation satisfying certain conditions, means there is one and only one such transformation.
For example, if we are only told that the linear transfo... | 5 | [
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0... | 21,738 | 21738 | |
help with quadric surfaces
September 2nd 2008, 04:40 PM #1
Newbie
Joined
Sep 2008
Posts
1
help with quadric surfaces
I'm trying to do some quadric surface sketching for my multivariable calc class, but I'm getting confused when there are equations that don't match the forms that i've "memorized" at all. ... | 4 | [
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0.08984375,
-0.063964843... | 21,739 | 21739 | |
Maths of carrier densities in p-n junction w/ bias.
Hi, I'm trying to recreate some formulae of my professor's but I'm hitting a dead end. Starting with the following equation for the electron carrier density in the conduction band of a semiconductor:
[itex] n = N_c exp(\frac{-(E_c - E_f)}{kt}) [/itex]
[itex] N_c [/i... | 4 | [
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-0.025... | 21,740 | 21740 | |
Constant(?) Solution of a Separable ODE.
May 21st 2010, 04:30 PM #1
Member
Joined
Oct 2009
Posts
195
Constant(?) Solution of a Separable ODE.
I'm not sure if I understand this question. By separating variables and integrating, $y(x) = x^{3/2}$ is an obvious solution. $y(x) = 0$ seems to imply that $... | 5 | [
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-0.021728515625,
-0.03588... | 21,741 | 21741 | |
Cauchy sequence
May 22nd 2009, 01:02 PM #1
Junior Member
Joined
Nov 2008
Posts
49
Cauchy sequence
HI, got an exam soon and need help understanding this question;
So i know what a Cauchy sequence is i.e d(x_n,x_m)<=epsilon, but have no idea how to apply that to this problem.
This question is w... | 5 | [
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-0.0130615234375,
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-0.052978515625,
0.0537109375,
-0.0568847... | 21,742 | 21742 | |
A Compliant PKM Mesomanipulator: Kinematic and Dynamic Analyses
Advances in Mechanical Engineering
Volume 2010 (2010), Article ID 706023, 9 pages
http://dx.doi.org/10.1155/2010/706023
Research Article
A Compliant PKM Mesomanipulator: Kinematic and Dynamic Analyses
Dipartimento di Ingegneria Meccanica e Industriale, ... | 4 | [
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0.005035400390625,
0.048095703125,
... | 21,743 | 21743 | |
Linear Fits - GNU Emacs Calc Manual
11.8.1 Linear Fits
The a F (calc-curve-fit) [fit] command attempts to fit a set of data (‘x’ and ‘y’ vectors of numbers) to a straight line, polynomial, or other function of ‘x’. For the moment we will consider only
the case of fitting to a line, and we will ignore the issue of whet... | 5 | [
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0.02062... | 21,744 | 21744 | |
BotXXX?
dit moet je denken
On the 3x+1 problem
By Eric Roosendaal.
SUMMARY: The so-called 3x+1 problem is to prove that all 3x+1 sequences eventually converge. The sequences themselves however and their lengths display some interesting properties and raise
unanswered questions. These pages supply numerical data and ... | 4 | [
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0.0... | 21,745 | 21745 | |
Question about a quantum field.
mpv_plate
Thanks for this explanation. When the [itex]x[/itex] operates on a state, the state (vector in a Hilbert space) becomes sort of multiplied by [itex]x[/itex]. In the QFT, is a state (vector in a Fock
space) also "multiplied" by the field operator?
I'm actually trying to unde... | 4 | [
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0.0291748046875... | 21,746 | 21746 | |
Patent US7647255 - Rotable inventory calculation method
TECHNICAL FIELD
The present invention relates to a method for conducting repairable inventory analysis, and more particularly to a method for computing repairable inventory requirements under uncertainties.
BACKGROUND OF THE INVENTION
Many industries use repair... | 4 | [
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-0.1147... | 21,747 | 21747 | |
Complete Consistency of the Estimator of Nonparametric Regression Models Based on
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 907286, 12 pages
http://dx.doi.org/10.1155/2012/907286
Research Article
Complete Consistency of the Estimator of Nonparametric Regression Models Based on -Mixing Sequences
S... | 5 | [
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-0.024169... | 21,748 | 21748 | |
Fibonacci sequence identity
December 3rd 2011, 12:24 AM #1
Junior Member
Joined
Dec 2010
Posts
61
Fibonacci sequence identity
Hi, we've been trying to prove this identity and can't quite see how its done. Any insights would be greatly appreciated. . .
$\text{where } ewline F_1 = 1 ewline F_2 = 1, ew... | 4 | [
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-0.... | 21,749 | 21749 | |
Stuck on an Induction Problem
October 30th 2009, 04:41 PM #1
Member
Joined
Dec 2007
Posts
137
Prove that:
$\frac{1}{3} + \frac{2}{3^2} + \frac{3}{3^3} + ... + \frac{n}{3^n} = \frac{3}{4} - \frac{2n+3}{4*3^n}$
My work so far:
Let P(n) denote the statement that $\frac{1}{3} + \frac{2}{3^2} + \f... | 4 | [
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... | 21,750 | 21750 | |
Physics HWK. Problem-Vertical Circular Motion
vsage
If three times her weight is what she feels and she is in a circular type system then you can find the velocity using centripetal force equations:
F = m*v^2/r
3*m*g = m * v^2/r
sqrt(3*g*r) = v
The passenger feels
the normal force
, which is 3mg.
(Any time when... | 4 | [
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0.1181640625,
-0.05... | 21,751 | 21751 | |
circle analytic geometry
September 17th 2008, 12:14 PM #1
Newbie
Joined
Sep 2008
Posts
3
circle analytic geometry
Hello there. I'm currently studying AS level maths in the UK and have been given a sheet of circle questions (This is not my strong point either).
I'm hoping you can help with this
1... | 4 | [
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0.0021820068359375,
-0.006011962890625,
-0.01287841796875,
0.072265625,
-0.0869140625,
-0.0480957... | 21,752 | 21752 | |
Gravitational Force between the Black Hole and Light Particle in XRBs
Journal of Gravity
Volume 2013 (2013), Article ID 232676, 6 pages
http://dx.doi.org/10.1155/2013/232676
Research Article
Gravitational Force between the Black Hole and Light Particle in XRBs
^1Department of Physics, Marwari College, Bhagalpur, Ind... | 5 | [
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0.06201171875,
0.09326171875,
-0.09... | 21,753 | 21753 | |
Moderate Problems on Mixture
Below are three problems based on the concept of mixtures in some ratio.
Question 1
A certain box of health drink powder is obtained by mixing the makers as 3 parts of milk powder with 5 parts of energy powder. If 2 kg of the mixture is needed and the individual makers can be
purchased on... | 4 | [
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-0.040283203125,
0.0556640625,
0.040771... | 21,754 | 21754 | |
CMS Winter 2004 Meeting
The goal of the work reported upon in this talk is to understand the L^2 critical nonlinear Schrödinger (NLS) blowup dynamics for rough initial data. Much of the known theory for NLS blowup
relies upon energy conservation and is thus restricted to H^1 solutions, even though the NLS evolu... | 4 | [
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-0.0274658203125,
0.03759765625,
0.0225830078125,
0.005767822265625,
-0.08447265625... | 21,755 | 21755 | |
Patent US5500620 - Timing recovery for digital demodulation
BACKGROUND OF THE INVENTION
This invention relates to digital demodulation of a digitally modulated analogue r.f. signal, such as is used in TDMA radio systems.
In mobile radio telephony systems, e.g. cellular systems and the like, low power time division mu... | 4 | [
-0.10546875,
0.0966796875,
-0.0458984375,
-0.03759765625,
-0.017578125,
-0.005859375,
0.03564453125,
0.021240234375,
0.0181884765625,
0.0205078125,
-0.002227783203125,
0.03662109375,
0.0390625,
-0.08203125,
0.0027618408203125,
-0.064453125,
0.0225830078125,
0.0673828125,
0.005249... | 21,756 | 21756 | |
Finding the Sum of a Power Series
Register to reply
by student45
Tags: power, series
P: n/a I'm trying to find the sum of this:
[tex]
\[
\sum\limits_{n = 0}... | 5 | [
-0.0294189453125,
0.033935546875,
0.043212890625,
0.07958984375,
-0.052490234375,
-0.0299072265625,
0.0135498046875,
-0.0673828125,
0.048095703125,
-0.052978515625,
-0.0732421875,
0.00101470947265625,
0.0177001953125,
0.004608154296875,
-0.087890625,
-0.0098876953125,
-0.011840820312... | 21,757 | 21757 | |
Differentiability of functions
March 21st 2010, 03:58 PM #1
Member
Joined
Jan 2010
Posts
80
Differentiability of functions
If the function f is defined as follows:
$f(x)=x^2$ for x rational
$f(x)=0$ for x irrational
How would you show that f is differentiable at $x=0$?
$f'(x) = \lim_{h\t... | 5 | [
0.06689453125,
0.0234375,
0.0242919921875,
0.0269775390625,
0.005035400390625,
0.0322265625,
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-0.040283203125,
0.009033203125,
-0.06396484375,
0.08984375,
-0.056884765625,
0.01483154296875,
0.09814453125,
-0.037841796875,
-0.040283203125,
0.003509521484375,
-0.05859... | 21,758 | 21758 | |
Have Problem - Need Formula
March 13th 2010, 04:56 PM #1
Newbie
Joined
Mar 2010
Posts
3
Have Problem - Need Formula
I am not sure who to ask or where to go with this, but if this is the wrong place, please tell me where to go (politely please
I need to create a formula to decide how much it will cos... | 4 | [
0.0654296875,
0.000942230224609375,
0.0096435546875,
-0.0203857421875,
-0.0257568359375,
0.0299072265625,
-0.0771484375,
0.10595703125,
-0.0654296875,
-0.007110595703125,
-0.00750732421875,
-0.08544921875,
0.024658203125,
0.0693359375,
0.0186767578125,
0.10107421875,
0.0341796875,
... | 21,759 | 21759 | |
Plz Help , stuck on final exercise !
May 14th 2007, 01:09 PM
speed01
Plz Help , stuck on final exercise !
Plz Help with the following math problem ! I really appreciate it ! :
Two pure notes of the same amplitude and of frequencies 15 Hz. and 17 Hz. sounded together to produce beats. Each note is modeled as... | 4 | [
-0.0849609375,
-0.07080078125,
-0.0198974609375,
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0.0267333984375,
-0.07177734375,
-0.00732421875,
-0.02001953125,
-0.0322265625,
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-0.06640625,
-0.03173828125,
0.0189208984375,
0.052734375,
0.04052734375,
-0.0015869140625,
-0.005340... | 21,760 | 21760 | |
Upper confidence limit value problem.
April 10th 2010, 08:21 AM
funnyname7
Upper confidence limit value problem.
Assume a population is normally distributed. If the standard deviation of the population is 2.5, calculate the 95% confidence interval for mu when you take a sample of size 25 and get a sample
mea... | 4 | [
0.0341796875,
0.0113525390625,
0.1279296875,
-0.004241943359375,
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0.1416015625,
-0.01220703125,
0.013427734375,
0.02685546875,
-0.047119140625,
0.024169921875,
-0.11572265625,
0.0263671875,
0.0125732421875,
-0.0054931640625,
-0.... | 21,761 | 21761 | |
Gravitational force and acceleration in General Relativity.
starthaus
...You need to start with the metric:
[tex]ds^2=\alpha dt^2-\frac{1}{\alpha}dr^2-r^2d\phi^2[/tex]
[tex]\alpha=1-\frac{2m}{r}[/tex]
From this you construct the Lagrangian:
[tex]L=\alpha (\frac{dt}{ds})^2-\frac{1}{\alpha}(\frac{dr}{ds})^2-r^2(\f... | 4 | [
-0.01141357421875,
-0.032470703125,
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0.025146484375,
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0.046630859375,
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0.0537109375,
-0.056884765625,
-0.06005859375,
0.05029296875,
0.07031... | 21,762 | 21762 | |
A rotating coil measuring the magnetic field
The magnetic flux across the coil is
[tex]\Phi = NBA\cos \phi = NBA \cos \omega t\, .[/tex]
that is, varies sinusoidally. Taking the derivative, we find the induced EMF:
[tex]E = -\frac{d\Phi}{dt} = NBA\omega \sin \omega t\, .[/tex]
Ohm's law gives
[tex]I = \frac{E}{R} ... | 4 | [
-0.0218505859375,
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0.0732421875,
-0.038818359375,
0.0717773... | 21,763 | 21763 | |
Midterm review
March 8th 2009, 09:42 PM #1
Newbie
Joined
Mar 2009
Posts
8
Midterm review
Agh, I've been working on this question for an hour and can't seem to make any headway. I seem to be completely lost on it.
a.) Show that the positive integers less than 11, except 1 and 10 can be split into pai... | 4 | [
-0.0908203125,
0.08349609375,
0.000537872314453125,
-0.09619140625,
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0.041259765625,
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-0.03271484375,
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0.025634765625,
0.0859375,
-0.01104736328125,
-0.0103759765625,
-0.003936767578125,
0.0238037109375,
0.... | 21,764 | 21764 | |
On the Optimization of the IEEE 802.11 DCF: A Cross-Layer Perspective
International Journal of Digital Multimedia Broadcasting
Volume 2010 (2010), Article ID 397824, 13 pages
http://dx.doi.org/10.1155/2010/397824
Research Article
On the Optimization of the IEEE 802.11 DCF: A Cross-Layer Perspective
^1Electrical Engi... | 4 | [
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-0.0947265625,
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0.0234375,
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-0.037353515625,
-0.01416015625,
-0.06005859375,
0.16015625,
-0.0296630859375,... | 21,765 | 21765 | |
Optimal Investment with Multiple Risky Assets for an Insurer in an Incomplete Market
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 751846, 12 pages
http://dx.doi.org/10.1155/2013/751846
Research Article
Optimal Investment with Multiple Risky Assets for an Insurer in an Incomplete Market
^1Sc... | 4 | [
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-0.07666015625,
-... | 21,766 | 21766 | |
Help with a problem with probability sets
September 15th 2011, 02:45 PM
puggles
Help with a problem with probability sets
I can't wrap my mind around the answer:
Two events E and F ; the probability that neither is true is 0.6,
the probability that both are true is 0.2; find the probability that exactly... | 4 | [
0.040771484375,
0.0908203125,
0.07568359375,
0.0142822265625,
0.04443359375,
0.05419921875,
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0.035888671875,
0.08203125,
0.06640625,
0.01104736328125,
-0.11669921875,
-0.0279541015625,
0.02880859375,
0.039306640625,
-0.056640625,
-0.1142578125,
-0.060546875,
-0.087402... | 21,767 | 21767 | |
Shell integration of a donut
January 28th 2010, 01:22 AM #1
Newbie
Joined
Jan 2010
Posts
4
Shell integration of a donut
Question: The region inside the circle y^2 + (x-2)^2 = 1 is revolved about the y-axis to form a donut. Use the method of shells to find the volume of the donut.
Ok soo... i tried ... | 5 | [
0.035400390625,
0.0302734375,
0.03466796875,
-0.044677734375,
-0.00982666015625,
-0.1044921875,
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0.05078125,
0.000324249267578125,
-0.012451171875,
-0.0028533935546875,
0.00092315673828125,
-0.000736236572265625,
0.061279296875,
-0.0306396484375,
-0.05859375,
0.0269775... | 21,768 | 21768 | |
Intuitive understanding of quaternions
A quaternion is a sum of a scalar (the "real" part) and three quaternion parts: [itex]q = a + bi + cj + dk[/itex]. Multiplying a quaternion by a real is commutative: [itex]qs=sq[/itex]. Multiplying a
quaternion by another quaternion? That's not necessarily the case. The above mult... | 4 | [
-0.138671875,
0.04248046875,
0.0252685546875,
-0.005950927734375,
-0.115234375,
0.01409912109375,
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-0.016845703125,
0.12060546875,
0.006500244140625,
0.080078125,
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0.0732421875,
-0.040771484375,
-0.02197265625,
-0.02001953125,
0.11523437... | 21,769 | 21769 | |
Help with non-linear least squares
February 24th 2011, 05:56 AM
greenday1209
Help with non-linear least squares
I'm trying to find least squares coefficients using the Gauss-Newton method (using scilab as my numerical analysis software)
Given the following data vectors:
x = [57.9 108.2 149.6 227.9 778.... | 5 | [
-0.02099609375,
-0.0849609375,
-0.0054931640625,
-0.08544921875,
0.052490234375,
-0.07373046875,
-0.028076171875,
-0.0299072265625,
0.03173828125,
0.095703125,
0.072265625,
0.087890625,
-0.015380859375,
-0.033935546875,
-0.0294189453125,
0.09619140625,
-0.037353515625,
-0.014587402... | 21,770 | 21770 | |
Help Calculate Tangent Equation to Two Circles
January 21st 2008, 05:35 PM
CaliMan982
Help Calculate Tangent Equation to Two Circles
Hi all, I am struggling to finish this problem and was seeing if anyone could help me.
There are two circles.
Circle 1 has a center at (2,4), and radius 4.
Circle 2 h... | 4 | [
-0.04931640625,
-0.06201171875,
-0.06982421875,
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0.1494140625,
-0.0177001953125,
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0.0284423828125,
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0.030517578125,
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-0.0123291015625,
-0.02... | 21,771 | 21771 | |
Calculus area problem
February 15th 2007, 06:01 PM
turtle
Calculus area problem
Can anyone help me with this problem. I'm stuck, and I don't know what else to try. Thanks for any help.
The solid lies between planes perpendicular to the x-axis at x = -pi/3 and x = pi/3. The cross sections perpendicular to th... | 5 | [
-0.0213623046875,
-0.05615234375,
-0.023681640625,
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0.0224609375,
0.0174560546875,
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-0.007568359375,
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0.0301513671875,
0.0264892578125,
0.0537109375,
-0.0108642578125,
0.00610351562... | 21,772 | 21772 | |
Patent US20010022820 - Symbol estimation using soft-output algorithm and feedback
FIELD OF THE INVENTION
[0001] The present invention relates to symbol estimation in a mobile communication system.
BACKGROUND
[0002] In high data rate mobile communication, system performance is degraded heavily by intersymbol interfer... | 4 | [
0.0076904296875,
0.0003910064697265625,
0.00921630859375,
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-0.08642578125,
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0.0177001953125,
0.02783203125,
-0.028686... | 21,773 | 21773 | |
Cosine Problem
May 9th 2012, 10:54 PM #1
Newbie
Joined
May 2012
From
sf
Posts
5
[SOLVED] Cosine Problem
Find the small positive number x such that
cos(x^2+2x+9)=0
Round your answer to 4 decimal places.
So far I've tried this equation: x^2+2x+(9-(2n+1)pi/2)=0
put it into quadratic a... | 4 | [
-0.076171875,
0.053955078125,
0.04296875,
0.02734375,
0.0225830078125,
0.012451171875,
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0.1611328125,
0.0458984375,
-0.040283203125,
0.138671875,
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0.0206298828125,
0.05712890625,
-0.017822265625,
-0.08740234375,
0.013427734375,
-0.05615234375,
0... | 21,774 | 21774 | |
ode differiential equation
August 12th 2010, 06:01 AM
Monster32432421
ode differiential equation
Could someone solve these:
xyy'+y^2=sinx by letting y^2=v
y'=2/(x+2y-3) by letting x+2y-3=v
2y'y''=1+(y')^2 by letting y'=v
or explain one and if they are similar then i'd be fine?
August 12th 2010, ... | 5 | [
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-0.0213623046875,
0.00035858154296875,
0.0234375,
0.06787109375,
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0.005096435546875,
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0.07958984375,
-0.068359375,
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-0.005950927734375,
0.0025634765625,
-0.04248046875,
-0.032958984375,
0.03686... | 21,775 | 21775 | |
How can I solve this (Word problem grade 11)?
November 3rd 2010, 04:45 PM #1
Junior Member
Joined
Oct 2010
Posts
27
How can I solve this (Word problem grade 11)?
It took a crew 80 min to row 3 km upstream and back again. If the rate of flow of the stream was 3 km/h, what was the rowing rate of the crew?
... | 4 | [
-0.021728515625,
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-0.042724609375,
-0.007476806640625,
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-0.0179443359375,
0.02685546875,
-0.0238037109375,
0.0115966796875,
-0.027954101562... | 21,776 | 21776 | |
Laplace Error in a Circuit
baby_1
could you tell my how can find we have a jump in capacitor voltage without impulse source?
You can view an initial capacitor voltage as an impulse. Follow the Laplace transform:
i = C dv/dt
I(s) = sC V(s) - Cv(0-)
This says you can model the current through the capacitor as an u... | 4 | [
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0.00421142578125,
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0.095703125,
0.02880859375,
-0.0869140625,
-0.08154296875,
-0.051513671875,
-0.00811767578125,
0.0903320... | 21,777 | 21777 | |
Organized counting
December 11th 2008, 07:42 PM #1
So question2....
There are 12 questions on an examination, and each student must answer 8 questions including at least 4 of the first 5 questions. how many different combinations of questions could a student
choose to answer?
Organized counting
Ther... | 4 | [
0.08056640625,
0.01318359375,
0.06005859375,
-0.0537109375,
-0.09228515625,
0.036376953125,
0.06982421875,
0.00811767578125,
-0.0146484375,
0.119140625,
-0.056884765625,
-0.04736328125,
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-0.08544921875,
0.040283203125,
-0.1015625,
-0.07666015625,
... | 21,778 | 21778 | |
Implicit Differentiation help
October 11th 2008, 03:29 PM #1
Newbie
Joined
Oct 2008
From
NV
Posts
12
Implicit Differentiation help
so I am trying to find $\frac {dy}{dx}$ for $x=tan(y)$
here's some of my work
not sure if I'm right but I'm applying the product rule to find it
$u=tan$
... | 5 | [
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-0.008544921875,
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0.087890625,
0.05712890625,
-0.0322265625,
0.00927734375,
0.02770996... | 21,779 | 21779 | |
law of sines
June 27th 2006, 09:09 AM #1
Newbie
Joined
Jun 2006
Posts
2
Help!
A ditch 2.5 m wide crosses a trail bike path. An upward incline of 15o has been built up on the approach so that the top of the incline is level with the top of the ditch. What is the minimum
speed a trail bike must be movi... | 4 | [
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0.0751953125,
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0.029052734375,
0.0576171875,
-0.0250244140625,
0.16015625,
0.000881195068359375,
0.... | 21,780 | 21780 | |
Stuck trying to integrate dy/dx-y=cos(x)-2
1. The problem statement, all variables and given/known data
integrate
dy/dx-y=cos(x)-2
2. Relevant equations
3. The attempt at a solution
dy/dx-y=cos(x)-2
is in the form
dy/dx+p(x)=q(x)
take the I.F as e^int(p(x))dx=e^-x
multiplying throughout by e^-x
d(e^-x)z/dx=-(c... | 5 | [
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0.0303955078125,
0.0147705078125,
0.043701171875,
-0.0751953125,
-0.0546875,
0.0279541015625,
-... | 21,781 | 21781 | |
Continuity.
August 11th 2008, 03:54 AM
pearlyc
Continuity.
Question 1.
Prove using $\epsilon - \delta$ arguments that
(i) $f(x) = x^4$ is continuous at x=a, where a not equal to 0.
(ii) Deduce (quoting an appropriate theorem) that $g(y) = y^{1/4}$ is continuous on the interval $[0,\infty)$.
Que... | 5 | [
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0.01708984375,
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-0.051025390625,
0.080078125,
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0.031494140625,
-0.0286865234375,
-0.033935546875,
0.054931640625,
0.00909423828125,
0.0380859375,
0.003631591796875,
0.004974365234375,
0.03173828125,
0.044677734375,
-0.11865... | 21,782 | 21782 | |
Rectilinear Motion
February 20th 2007, 01:17 PM
^_^Engineer_Adam^_^
Rectilinear Motion
Use the following equation of motion from physics for an object moving in a vertical line and subject only to the force of gravity. where the positive direction is upward:
(10) http://rogercortesi.com/eqn/tempimagedir/eqn7... | 5 | [
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0.125,
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initial value problem and critical value of a0.
April 5th 2011, 02:44 AM #1
Member
Joined
Oct 2010
Posts
127
initial value problem and critical value of a0.
I tried extremely hard on this one. Please help me.
Given: (sint)y' + (cost)y=e^t; y(1)=a, 0<t<pi
a. find the initial value problem and fi... | 5 | [
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How do I calculate a planets mass?
No, the diameter and orbital radius do not provide enough information to determine the mass or gravity. Both of these values depend on the average density of the planet. However, knowing the mass and
diameter of a planet does determine its surface gravity (or vice versa). Specifically... | 4 | [
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Corollary 1. |a| divides |G|
September 25th 2010, 04:49 AM #1
Newbie
Joined
Aug 2010
From
Sibulan
Posts
12
Corollary 1. |a| divides |G|
I just would like to ask for the proof of this Corollary: |a| divides |G|.
In a finite group, the order of each element of the group divides the order of the ... | 4 | [
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In this activity students convert antilogs to logs, and logs to antilogs using scientific notation as an intermediate step. They will thereby develop a look-up table for solving math problems by
using logarithms. ... | 4 | [
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Brazilian Journal of Physics
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Print version ISSN 0103-9733
Braz. J. Phys. vol. 27 n. 4 São Paulo Dec. 1997
http://dx.doi.org/10.1590/S0103-97331997000400011
Inverse Dynamics in the... | 4 | [
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Patent US7483852 - Total value bidding
FIELD OF THE INVENTION
The invention relates generally to conducting online electronic auctions, and in particular, to determining adjustment values in online bidding.
BACKGROUND OF THE INVENTION
Procurement Models
It is believed that procurement of goods and services has trad... | 4 | [
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in the set of complex #
A- 1) Solve the equation Z^2 – 5( 1+ i)z + 2+14i = 0 plz help me??
Disregard my previous post, I realized I was using the wrong data. There are two solutions that will work for a z, such that that equation is equal to zero. Try: 3 + i and 2 + 4*i Notice that the
simplified equation is: z^2 - 5*... | 4 | [
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... | 21,790 | 21790 | |
Physics / Rate of Change / Velocity
May 25th 2009, 08:14 AM #1
Newbie
Joined
May 2009
Posts
2
Can't figure this one out! I tried, but I have major doubts about my answer:
The number of gallons of water in a tank t minutes after the tank has started to drain is Q(t) = 200(30 - t)^2 . How fast is the w... | 5 | [
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detriments problems someone please cheack to see if i am doing it right !
September 4th 2012, 07:54 PM #1
Junior Member
Joined
Jul 2012
From
auckland
Posts
46
detriments problems someone please cheack to see if i am doing it right !
|1 o |
| 0 2 |
= (2x1)-(0x0)=2
|1 -2|
|-1 3|
=... | 5 | [
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... | 21,792 | 21792 | |
Optimization
April 6th 2009, 12:57 PM #1
Member
Joined
Nov 2008
From
Ontario
Posts
80
Optimization
For a given perimeter, what type of triangle encloses the most area.
How do I do this since triangles have three sides, a b and c for perimeter?
there are so many ways to solve this problem. i... | 5 | [
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Complex Series
March 6th 2011, 07:04 AM
mohammadfawaz
Complex Series
Hello!
Suppose that $\{z_n\}$ is a sequence of complex numbers satisfying $Re\{z_n\}\geq0$ and that the two series $\sum_{n=1}^\infty z_n$ and $\sum_{n=1}^\infty z_n^2$ are convergent. Prove that the
series $\sum_{n=1}^\infty |z_n|^2$ i... | 4 | [
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Teacher
Weather: Wind Chill (Grades 8-10)
Temperature Measurement | Wind Chill | Rainfall | Answers | Career Connections | More Math Concepts
One of the most prevalent aspects of current weather reporting is the inclusion of the wind chill factor each day, particularly in the northern climates during the winter.
... | 4 | [
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Math Help
June 5th 2010, 06:21 AM #1
Super Member
Joined
Dec 2009
Posts
755
Vectors
sry i but i really have no idea how to start the question... i have problems with both parts of the question as they are similar...
i am not asking u to spoonfeed me, perhaps u can solve the first part and let ... | 4 | [
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Integral of x cotan (x) dx from 0 to pi/2
Integral of x cotan (x) dx from 0 to pi/2 Please solve using all steps. thanks!!
Last edited by mr fantastic; May 28th 2010 at 03:13 PM. Reason: Re-titled.
Did you try doing this 'under the Integral'?. This one is often done that way. $xcot(x)=\frac{x}{tan(x)}$ $I(a)=\int_{0}... | 5 | [
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units of polynomial(ring theory)
Prove that if char(R) = n then char(R[x]) = n.
Last edited by CarmineCortez; November 26th 2009 at 08:15 AM.
Since R[x] contains R, so charR[x] is no less than charR. If char R is infinite,then it is trivial. otherwise,Let charR = n, suppose f be any element in R[x], then all the coef... | 4 | [
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exclusion inclusion problem
October 27th 2013, 11:26 PM
annie12
exclusion inclusion problem
q)There are 323 farms in a country that have atleast one of horses cows and sheep.if 224 have horses 85 have cows 57 have sheep and 18 farms have all three types of animals.how many farms have
exactly 2 of these 3 typ... | 4 | [
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