Manipulation Definition and 192 Threads

Suppose I have to solve for y: x\leq 1 (x - 1)^{2} = y So I know that (x - 1) will always be 0 or a negative, therefore I must take the negative square root of (x - 1): -\sqrt{(x - 1)^{2}} = -\sqrt{y} Am I to understand that this is the same as: -1 \cdot \sqrt{(x - 1)^{2}} = -1 \cdot...

Hey guys, I need some help understanding some very basic quantum manipulation techniques. If I am working out the bra version of a tensor product on some ket vectors, do the two ket vectors change from |v1>|v2> to <v1|<v2|, or to <v2|<v1|. Or, to put in context, if I measure an operator...

Homework Statement Simplify so that there is no square root function. Leave it in terms of S S = xc^2 / (1 - 2Gy/rc^2)^1/2 s = \frac{xc^2}{(1-\frac{2Gy}{rc^2})^{1/2}} Attempt I've tried too many things, it would be too cumbersome to copy all of it down.

I can't for the life of me understand how the book went from step A to step B--even though I realize its just a pesky algebraic manipulation. Step A M(1,u) dx +N(1,u)[u dx+ x du] = 0 Step B [M(1,u) + uN(1,u) ]dx + xN(1,u)du = 0 Step A to Step B? I tried factoring and tinkering around...

Homework Statement I have this incomplete Beta function question I need to solve using the Beta function. \int^{a}_{0}y^{4}\sqrt{a^{2}-y^{2}}dy Homework Equations Is there an obvious substitution which will help convert to a variant of Beta? Beta function and variants are in Beta_function...

Homework Statement Going over some old tests, I am asked to find the contour of the function: T = 100 - x^2 - y^2 at T = 100, T = 0, etc. I have a question regarding the contour at T = 100 Homework Equations The Attempt at a Solution Consider T = 100 100 = 100 - x^2...

Can anyone point out a way to get f(z) = z + e^h(z) into the form f(z) = (1-e^(z*h(z)))/z I have used all of the algebra tricks I know and it seems to be going nowhere.

Homework Statement We have proved that any Kepler orbit can be written in the form of r(\phi) = \frac{c}{1+\epsilon*cos(\phi)} where c>0 \epsilon\geq 0. for the case that 0 \leq \epsilon < 1, rewrite this equation in rectangular coordinates (x,y) and prove that the equation can be cast in...

Homework Statement I am told this is wrong, but I am convinced it is right. I just need to show how but don't have a clue. Homework Equations (ab)/(2c(d+e))+(ab)/(2c(d-e))=(abd)/(c(d^2-e^2)) The Attempt at a Solution I do not have a clue where to start. I am clueless as...

If q>p>-1 and w=\cosh(x) then how do I get smoothly from: \displaystyle \int^{\infty}_1 \sinh^{p-1}(x) w^{-q} \;dw to \displaystyle \int^{\infty}_1 (w^2-1)^{\frac{p-1}{2}} w^{-q}\;dw and if t=w^{-2} how do I get smoothly from this to: \displaystyle \frac{1}{2} \int^{\infty}_0 t^{\frac{p+1}{2}-1}...

Homework Statement limx→3 (x2+5x+2) ÷ x2-6x+92. The attempt at a solution You cannot solve through direct substitution because the denominator comes out to equal 0, and you cannot divide by 0. Thus, I factored the lower terms to reach the following: (x-3)2 or (x-3)(x-3). However, to my...

Homework Statement Well this actually a part of a different problem and there i want to make use of subscript function but its giving a funny problem . it's like this: public class test { void main(String m) { int a =m.length(),b=0; System.out.println(m.subscript(b,a)); } }...

Why does when l approaches infinity? This would mean that but I don't understand why that would be true. Thanks!

Welcome all, I have a following code: program aaaa implicit none double precision, dimension(:), allocatable :: inp,outp integer ::n,i read(*,*) n allocate(inp(n),outp(n)) write(*,*) allocated(inp), allocated(outp) write(*,*) inp(1) inp=cshift(outp,-size(outp)/2)...

can matter and anti matter manipulation be used for replication of cells

Homework Statement http://www.spokaneschools.org/180020622143325240/lib/180020622143325240/WS_Algebraic_Manipulation.pdf Homework Equations The Attempt at a Solution well all we have to do is sove for the variable indicated...but i really don't understand how to solve for the...

Hi, this question is about the mathematical justification for a physics topic so hopefully this is the right forum. All the proofs of the work-KE theorem I have found go something like this: W= int(F)dx from x1 to x2 = m(int(dv/dt))dx from x1 to x2 = m(int((dv/dt)v)dt from t1 to t2 =...

Hi... I have just started using GRtensor... I realize that the calculations in GRtensor have to be done only after specifying a metric... Is there any package which can directly do symbolic manipulation without using the metric?

Hello everyone, I'm a new member of the Physics Forums, and not a physicist by specialization, so please have mercy :-) I'm a linguist by training, and by profession a writer of fiction and role-playing games. I'm currently in the process of getting my first science-fiction novel...

I would welcome advice on the practical issues of manipulating tensor indices, in particular how to determine the order of indices during calculations. Some of the following questions are probably simplistic but I have been unable so far to find a consistent answer. 1) Some texts use a unique...

Homework Statement I've solved my problem now. I was trying to show that LHS=RHS: (|+><-| + |-><+|)^2 = (|+><+| + |-><-|) this can be done by using <-|->=1 (normalization) and <x|->=0 (orthogonal). LHS: (|+><-||+><-|) + (|+><-||-><+|) + (|-><+||+><-|) + (|-><+||-><+|) = 0 + |+><+| + |-><-|...

Hey everyone! This has always been a source of confusion for me that everyone seems to play around with dx and dy as if they were variables while in many sources it was stated that they are purely symbolic. For example, in the integral, dx is purely symbolic. If I'm not misunderstanding, dx is...

I have an engineering problem that I have to solve. Imagine that we have two electron beams, one originates from a heading of 0, coming toward point A. A line between the origin of beam 1 and point A would create a line of heading 0. Now a second beam, beam 2, originates from a heading of...

How does √(2(2r+r√3) simpilfy to r√(2r+√3) ? Read about the formula in a book about Jamshid al-Kashi, the great Iranian astronomer who used the above formula to determine pi to 16 decimal places. All help is much appreciated.

Homework Statement Consider this wave packet: \Psi(x)=A exp \left[\frac{i(p + \Delta p)x}{\hbar}\right] + A exp \left[\frac{i(p - \Delta p)x}{\hbar}\right] (from a previous problem) This time-dependent form of the packet is: \Psi(x)=A exp \left[\frac{i(p_{1}x-E_{1}t)}{\hbar}\right] + A exp...

Homework Statement Hello, recently in my calculus III class we went over some problems of the following form: If 'for some given equation' show: x(fx) +y(fxy) +fx= 0 For some examples I was playing around with the operations BEFORE I dived in and started solving for fx and fy and got...

I've been reading about parasitic host manipulation and was amused by the section on T. gondii (cat poop parasite) and it's effects on human behavior, especially on women. Look what the cat dragged in: do parasites contribute to human cultural diversity? Kevin D. Lafferty∗ page 280...

Books for self-teaching previously taken math courses, and other problems :) What I want to focus on: While I am a CS student, I am also interested in mathematics subjects as a whole and want to re-familiarize myself with some of the courses I took in the past. I received high grades, but to...

Solve the equation below to gain an expression for θ(t), where v, β and r₀ are constants and the only variables are time(t) and theta(θ): vt=r₀θ+βθ²/2 The exercise is based upon the spiral data track of a compact disc and either side of the equation is equal to the displacement. I’ve...

I have a really bad math background, so sometimes I struggle with or am just a little slow with some algebraic things, while I can handle more abstract stuff fairly well. Lately I've been running into certain types of problems in my algebra class which are proving to be time-consuming for me...

Hi, I just want to double check if the following is valid. However, I would just like to give you the context of my questions. Basically, I am passing a wire through ice, then I'm trying to figure out how an increase in mass (therefore force) affects the velocity at which the wire goes...

bcs theroy, just an "easy" algebraic manipulation Hi folks, i'm sitting here for hous and I'm wondering, how one can find formula 3.35' on page 61 in Tinkham's book: http://books.google.de/books?id=k6AO9nRYbioC&lpg=PP1&dq=tinkham%20superconductivity&pg=PA61#v=onepage&q&f=false I think, it...

Given the expression \textbf{A} = \textbf{Q} : \textbf{B} where A and B are second order tensors of rank 2 and Q is a second order tensor of rank 4. How can I manipulate this expression to calculate for Q given A and B? In other words, isolate Q on one side of the equation. Thank...

Manipulate "d = 1/2 (Vf + Vi) t" to find Vi Heres my attempt: d = 1/2 (Vf + Vi) t d/2 = (Vf + Vi) t (d/2) / t = Vf + Vi ((d/2) / t) - Vf = Vf + Vi I am pretty confident that i did this right but the equation seems to be a little funny looking and I just want to confirm with some pros...

Hello, I have been thought differential-calculus ages ago, but now when started reading some physics books (where infinitesimal quantities are used again and again) I realized I know nothing about calculus. I am unable to specify where exactly my problem lies, but I guess it lies in how to...

Homework Statement If the basic equation for the Christoffel symbol is \Gamma^l_{ki} = \frac{1}{2} g^{lj} (\partial_k g_{ij} + \partial_i g_{jk} - \partial_j g_{ki}) so if you bring multiply the first metric into that equation, won't that turn the first two derivatives into derivatives...

Hi Given this limit \lim_{h \to 0} \frac{1-cos(h)}{h} = 0 can you rearrange (sin(x) (\frac{cos(h)-1}{h})) to (sin(x) \cdot -1 \cdot (\frac{1-cos(h)}{h})) so that when you take the limit as h goes to 0 you get: sin(x) x -1 x 0 = 0 thanks

Homework Statement Your budget is such that if you spend your entire income, you can afford either 4 units of good x and 6 units of good y OR 12 units of x and 2 units of y. A) What is the ratio of the price of x to the price of y? B) If you spend all your income on x, how much x could...

ECONOMETRICS CALCULUS. 1. The PRECEDING question and solution Differentiate with respect to b1 My solution: df(b0,b1)/db1 = 2Σ[(yi-b0-b1xi)*(-xi)] 2. the ACTUAL question By setting d,f(b0,b1)/d,b1 = 0, show that you obtain . (Hint: you will have to substitute b0 = yBAR -...

Homework Statement a) Solve the differential equation dy/dx = x(y2+3)/y b) Find the unique function y(x) satisfying the differential equation with initial condition dy/dx = x2y, y(1) = 1 Homework Equations The Attempt at a Solution With question a) I am no entirely sure but...

Homework Statement Was just wondering how this equation: (k*16*10^(-6))/d^2=(k*16e-6)/(30-d)^2 gets manipulated to produce this result 20(3-d)^2=d^2 d=2 Homework Equations The Attempt at a Solution I've tried manipulating it myself but it ends up with me spiraling off into pages of...

This wasn't obvious to me. From my book. We have, p(x)=\begin{cases} \frac{1}{2} & -2\leq x\leq-1\,\textrm{or}\;1\leq x\leq2,\\ 0 & \text{otherwise~}.\end{cases} So, the kth moment is given by M_{k}=\frac{1}{2}\int_{-2}^{-1}x^{k}dx+\frac{1}{2}\int_{1}^{2}x^{k}dx So, obviously...

Homework Statement Somehow the upper two statements are manipulated to get the lower one but i can't work out how... (see attatched image) Homework Equations N/A The Attempt at a Solution Oh you don't want to see mypages of scribble. I can't get close to that expression!

Homework Statement Show by manipulating the dummy indices, that (Z\underline{abc} + Z\underline{cab} + Z\underline{bca})X\overline{a}X\overline{b}X\overline{c} = 3Z\underline{abc}X\overline{a}X\overline{b}X\overline{c} Homework Equations The Attempt at a Solution This question...

I am not entirely sure how some of these steps work. What I have so far (pardon any latex mistakes, I am new to it) K=\frac{\Delta P}{\Lambda Vol /Vol} change in pressure over volumetric strain = K the bulk modulus \rho Vol'= d \rho / dt (\frac{d P}{d t}/\frac{d \rho}{d t}*)\rho=K...

Im having trouble proving limits of multivariable functions. I understand the principal behind delta-epsilon proofs but I can't get it to work. Once I set up the inequalities I am stuck. The only example in my book seems very convenient though . 3x^2 * abs(y) divided by x^2 + y^2...

Homework Statement I am working on a problem, and there is a small step I need help on: I have the expression eab, where a is a constant, and b is a variable. I need to separate a and b so I can pull out the expression b from an integral expression. Is there any exponent law or manipulation...

Homework Statement sorry for another one of these threads...hopefully after this one i won't have to bug anyone else xS http://www.physics.ox.ac.uk/admissions/undergraduate/admissions_test/tests08.pdf page 6 - Question 23 - ONLY HELP WITH THE SECOND HALF I NEED, the 'SHOW THAT...' BIT IS...

Homework Statement x and y are actually variables for another problem I have, but that doesn't matter. Given: \frac{X+Y}{X-Y}*Z_{0} = Z_{L} The Attempt at a Solution I'm trying to solve for Y here. I have the answer, it's part of my notes, but I can't work out the algebra to...

Homework Statement I need some help with this Algebra problem. In the following I don't know how they manipulated the RHS to get to the LHS: http://img402.imageshack.us/img402/7176/solns.gif Homework Equations The Attempt at a Solution \frac{1}{4}(k+1)^2 .k^2 + (k+1)^3...