Manipulation Definition and 192 Threads

Hi, I've just taken higher physics at my local college, its been a few years since i left school and need to do some revision. They expect me to be able to do some formula manipulation, i have no idea how to do this.. :bugeye: i need a beginners tutorial or if someone really nice person can...

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Homework Statement I am trying to integrate x^2/(1+x^2 ) from 0 to 1. The Attempt at a Solution We recently worked on trig substitutions in class, but, rather than substituting x for tan(theta) I think there may be an easier way via algebraic manipulation. If I divide both...

Hi; I am trying to understand the rytov approximation... and when I was studying that, I could not understand a manipilation... ΔeØ + k2eØ = 0 ▼[▼ØeØ] + k2eØ = 0 ▼2ØeØ + (▼Ø)2eØ+k2eØ = 0 I can not understand these manipilations... for a long time, I have searched the properties of...

Hello, I have this equation: \int_{-\infty}^{\gamma}f_X(x)\,dx+\int_{\gamma}^{\infty}F_Y(x-\gamma)\,f_X(x)\,dx where f_X(x) and F_Y(y) are the PDF and CDF of the randome variables X and Y, respectively. Now the question is: can I write the above equation in the form...

Homework Statement Assume the Milky Way contains about 3 × 10^11 stars that were formed all at once, with an initial mass function: \frac{dN}{dM}\propto M^{-2.35} in the range 0.1–100 solar masses. How many stars in the Galaxy are less massive than the Sun? How much mass do these...

Homework Statement The variance of an observable Qhat in a state with wavefunction psi is, (delta Qhat)2=<(Qhat-<Qhat>)2> Show that this can be written as, (delta Qhat)2=<Qhat2>-<Qhat>2 Homework Equations As above. The Attempt at a Solution (delta...

Homework Statement As part of a calculus question, the solutions manual takes \frac{2y^{2}}{4+y^{2}} And somehow turns it into \left(2-\frac{8}{4+y^{2}}\right) Ive scribbled all the things i can thinkof on paper and still can't seem to get from one to the other, its driving me nuts...

Homework Statement \int_0^{\frac{\pi}{2}} \frac{\cos(x)}{1+\sin^2(x)} \ln(1+\cos(x))\ dx The Attempt at a Solution Can anyone give me a hint as to what to do?

Homework Statement Wondering if one particular tensor manipulation is "legal" Homework Equations U^{ij}=\eta_{ab}F^{ia}F^{jb} where F is the electromagnetic tensor, antisymmetric, with zeros on the diagonal The Attempt at a Solution So, starting there, is it legal for me to do this...

Dear all, How do you get from the 1st equation to the 2nd? dW = -RT dV/V dW = -RdT + RT dP/P Also, I’m trying to do the same for this additional pair below… dQ = C_V dT + RTdV/V dQ = C_P dT - RT dP/P Thanks.

1. Homework Statement and the attempt at a solution Please see attached. I'm not so sure if my problem lies with the physics or the mathematics. I have the distinct feeling that it's the latter and that I'm missing something elementary, but truly have no idea how to proceed. Any...

What would happen if adiabatic processes were applied in the context of a long-distance EPR Experiment? As background for my questions, see http://en.wikipedia.org/wiki/EPR_paradox" ) In the context of the foregoing, please visualize two particles that are...

I apologize if I posted this in the wrong area. Hopefully, I chose correctly. I guess my question is linked to the composition of matter and our ability to manipulate it. If all things are made out of atoms (hence electrons, protons and neutrons), why can't scientists create food? As bizarre...

I'm following through a solution to a problem I couldn't do and there's a bit of trig manipulation I can't get my head around: 2cos^{2}x - sin^{2}x = 2 - 3sin^{2}x I tried using this identity to get it to work: cos^{2}x - sin^{2}x = 1 - 2sin^{2}x but alas, I could not. And after that...

Let R denote the set of all real numbers and Q the set of all rational numbers. Statement to prove: If x and y are in R with x < y, show that x < ty + (1-t)x < y for all t, 0 < t < 1. My work on the proof so far: Given x and y are real numbers with x < y. By theorem we know there...

Homework Statement Let S be a field containing elements x and y. If a \neq 0 and b \neq 0 then ab \neq 0Homework Equations Field Axioms: Associative law for addition Existence of additive identity Existence of additive inverse Commutative law for addition Associative law for multiplication...

Can it be said that some form of weather manipulation works? China seems to have had some success, http://news.slashdot.org/article.pl?sid=08/08/10/020213&from=rss Even if some form works is it worth the effort, are we just moving a (problem) to another location.

I am self-studying GR and have run into a problem. In Sean Carroll's book 'Spacetime and Geometry', he states what the tensor form of the Lorentz force law is in Equation 1.106. However, whenever I try to verify the equation, I keep getting an extra negative. Has anyone worked this problem or...

Homework Statement \int \frac{x}{x+d}dx The Attempt at a Solution I tried parts and that turned out horribly so I fired up maple. First move it makes is 'Rewrite Rule'. I've never heard of a rewrite rule but I supposed it could be some algebraic massaging. I ended up looking at it...

I was playing around with Euler's identity the other day. I came across something that seems contradictory to everything else I know, but I can't really explain it. I started with e^{i\pi} = -1. I rewrote this as ln[-1] = i\pi Multiplying by a constant, we have kln[-1] = ki\pi...

I m at loss where I would post this question but is there a way to manipulate a person's dreams etc using waves. You know where this might be going to...

I would like to do something like a derivative with respect to a vector or really anything involving a vector (of known dimension, but unknown values) going in and a vector coming out: x= 4 by 1 vector A = 4 by 4 matrix diff( Transpose(x) * A * x, x) should return (1/2)*A*x Is there...

Here is the manipulation of Pascals Triangle. I'm trying to figure out a way to represent these rows in terms of a combination. Check it out... 1 1 1 1 4 1 1 9 9 1 1 16 36 16 1 1 25 100 100 25 1 . . .

I'm working on a chemistry problem and I'm trying to follow the derivation for % ionization (of a weak acid or base) but I can't seem to understand how rearrangement of eq. 6 results in eq. 7. In more general terms, I started with the Hendreson Hasselbalch equation: pH = pka + log(A-/AH)...

Homework Statement I need to prove the following equation is true, given that a + b + c = 0: a^2/(a^2 - b^2 - c^2) + b^2/(b^2 - a^2 - c^2) + c^2/(c^2 - a^2 - b^2) = 3/2 Homework Equations a + b + c = 0 The Attempt at a Solution I wasn't sure what to do at first, so I tried cross...

Homework Statement I need to write a function which will replace any occurence of "cmpt" with "XXXX" in a string. The Attempt at a Solution I am still confused with pointers and string manipulations. Here is what I have so far but I'm lost. http://rafb.net/p/2h8fJ210.html

I'm trying to find the intensity of something. I know the equation is B = 10log(I/Io) But how to I solve for I? What would the equation be? For some reason I can't make it work.

I have about a year of electronics background, but what I'm trying to make is still a bit daunting for me. I want to build a device that creates a very high voltage electrostatic field like a van de graff generator and then input to this field variable frequencies from an electric keyboard...

I have about 5000 matrices which are all in excel. I need to put them all in Matlab so I can use them in programs. Every one of the 5000 matrices will be in its own excel sheet and they will all be saved in a folder. I don't mind reading them one by one in Matlab, but the thing I am having...

Homework Statement Hey I need to rearrange the following, and find x in terms of G, M, m, r \frac{{GM}}{{x^2 }} = \frac{{Gm}}{{\left( {r - x} \right)^2 }} 2. The attempt at a solution I haven't manged to get far with this problem as I am confused about the powers of x and how to manage...

Even though this question deals mostly with arithmetic and geometic series, this notation is used in linear algebra and differential geomety quite a bit so I will inquire of this matter here. What are the rules for algabreically dealing with sigma notation. When you change the value of an...

I know that this might not be the best forum for the question but I am sure people here can help. I want to do some simple tensor contraction using Maple or Mathematica. The calculation is simple but extremely long. All I want is to teach Maple/Mathematica to do tensor contraction without...

I have a question relating to a particle rotating around a point with velocity u = \Omega \times r, where \Omega is the angular velocity and r is the position relative to the pivot point. I need to prove that the acceleration is given by, a = -\frac{1}{2} \nabla [(\Omega \times r)^2] I...

any tips on how to implement a way to find the null space for a given matrix?

I am trying to manipulate a formula to get a known answer — only I am not getting it: The necessary information: Two small blocks, each of mass m, are connected by a string of constant length 4h, with negligible mass. Block A is placed on a smooth tabletop (no friction), and block B hangs...

I was doing a few practice questions and was a bit confused about how the solution manual manipulated the I identity matrix. For example, Just say you had the following I - 2A = B where A and B are 2x2 matrices. B is given, but we need to find A. Therefore, shouldn't it be -2A =...

This might be a stupid question, but I've been reading a lot about zero-point energy and I still don't fully understand what it is. I've always had a dream of coming up with plans for a gravity manipulator that could reduce an objects mass to absolute zero creating a black hole, but sustaining...

In the future ...would the impact of gene manipulation be positive or negative? If there are limits to the way the technology is used, it would be positive right? We could cure a lot of diseases...

This topic is a little "out there" but what are you thoughts on this being possible someday? I'm doing some research for my Hard SF world and don't want to use anything unplausible. If possible any guesses as to if it'd only need power to turn it on, off and change altitude, not to maintain...

1.) Is it posible to somehow create some FIELD that redirects light when passing thorough? 2.) I heard that there were some experiments with photon teleportation - is there some method to teleport photons from random place (any place; without apparature placed there; only apparature is the one...

What do you think of genetic manipulation in any form, qunatity, or application? Please, try to create an equilibrium of morals and application as to AVOID A FLAME WAR! Thanks.