Manipulation Definition and 192 Threads

Homework Statement I am working through some maths to deepen my understanding of a topic we have learned about. However I am not sure what the author has done and I have copied below the chunk I am stuck on. I would be extremely grateful if someone could just briefly explain what is going on...

Hi there, I am struggling to understand how moving the summation (with H3) to before G1 will cause H3 to have to be divided by G1. I tried writing down how the equations would work to make sense of it but I still can't see how it works out. Please can someone explain this to me? Thanks, Laura...

Homework Statement I have a differential equation that I need to solve numerically by writing a program. x0, y0, x_dot0, y_dot0, α are all given Hello, I have the following differential equation: http://puu.sh/d78KC/107bd6c71f.png I want to rewrite it so I can solve it numerically by writing...

Could a field of a certain.type of magnatism effect a giving area of salt water as to.either align or dispurse the water to more freely flow among them or slide between them .like a horizon of water molecules

Homework Statement I have two equations. The first is for all of the forces on a hanging mass from a pulley. The second is for the sum of the torques about the pulley from which the mass hangs. I simply have to combine the equations to find the acceleration of the object. I have attempted every...

Is it possible with modern optic technologies to achieve the following effect: A relatively thing laser beam passes 30-50 cm and after that completely defocuses? It should defocus under very broad angle. What I exactly mean is creation of a 2D screenless images just in a thin air with help of a...

My https://www.amazon.com/dp/0073532320/?tag=pfamazon01-20 gives a rule of thumb to divide by the highest power in the denominator for the following problem to demonstrate a slant (oblique) asymptote: \lim_{x\to\infty} \frac{4x^3+5}{-6x^2-7x} = \lim_{x\to\infty}...

Homework Statement Given the functions Q(v,w) and R(v,w) [/B] K = v(dQ/dv)r and L = v(dQ/dv)w Show that (1/v)K = (1/v)L + (dQ/dw)v (dW/dv)r I have the problem attached if for clarity of the information. Homework Equations I assume everything is given in the problem. The Attempt at...

Hiya. I got to an interesting bit in a calculus book, but as usual I'm stumped by a (probably simple) algebraic step. The author goes from: (ds)^2=(dx)^2+(dy)^2 to: ds=\sqrt{1+\left(\frac{dy}{dx}\right)^2}dx I understand moving the square root across, but I don't understand how the...

I'm an undergrad who has just completed the standard calculus sequence (1, 2, and multivariable). I've done well in the courses, however, things like the following, which is a derivation of kinetic energy, still confuse me: Taken from here. I want to understand the symbolic...

Hello everybody. I was recently brainstorming ways to make the Einstein field equations a little easier to solve (as opposed to having to write out that monstrosity of equations that I started on some time ago) and I got an interesting idea in my mind. Here, we have the field equations...

Homework Statement Write a line of MATLAB code that uses the cell array A to generate the string 'Cal Golden Bears'Homework Equations The Attempt at a Solution A = {'Cal', 'Golden', 'Bears', [5 7], {[1 2 3 4]}} A = 'Cal' 'Golden' 'Bears' [1x2 double] {1x1 cell} The...

Homework Statement Homework Equations The Attempt at a Solution A = [2.1, 4.2, 6.7; 8.3, 5.3, 5.4] A = 2.1000 4.2000 6.7000 8.3000 5.3000 5.4000 [mVal, I] = max(A,[],1) mVal = 8.3000 5.3000 6.7000I = 2 2 1 I don't understand what max(A,[],1) is...

Hi, I was wondering whether anyone could tell me how to deal with this manipulation, which I am unable to see. a_1=\frac{F}{(-m_1\omega^2+K_1+K_3)-K_3a_2} a_2= \frac{K_3a_1}{(-m_2\omega^2 +K_2+K_3)} Starting with a_1...

Hi everyone, So I've been wondering how much energy does it takes to impart some kind of effect on the higgs field. I've been trying to look for the energy the LHC generates and compare it to the actual amount of energy that it takes for the higgs field to be affected, but since this is all new...

$\dfrac {\sqrt {3-3x}+\sqrt {x+6}}{\sqrt {1-4x}+\sqrt {2x+8}}=\dfrac {\sqrt {3-3x}-\sqrt {x+6}}{\sqrt {1-4x}-\sqrt {2x+8}}$ please find :$x$

Hey everyone, so I'm just wondering if you guys can articulate the term "velocity of lost mass" from the rocket. After a few massaging on the equations(derivatives and integrals stuff) i found that to manipulate the thrust, one must manipulate the burn rate AND the "velocity of loss mass". all i...

This is a semi-advanced question for anyone with HQET experience. When you expand out the Lagrangian, as well as the wave functions, you get things like the equation of motion that are expressed in terms of the covariant derivative and the heavy quark velocity : \def\lts#1{\kern+0.1em...

Homework Statement Question 1. General Plane Waves. We may represent a general electromagnetic plane wave by (real part of the complex exponentials) E=E_{0}*e^(i*k*r-iwt) B=B_{0}*e^(i*k*r-iwt) Show that Faraday's Law becomes iwB0=-ik x Eo Homework Equations dB/dt=- curl of E The...

Use algebraic manipulation to prove that x+yz=(x+y)(x+z) Note that this is the distributive rule, So I have: (x + y)(x + z) = xx + xz + xy + zy = x + xz + xy + zy = x(1 + z + y) zy =x * 1 + (z + y)(zy) = x + ((zzy +...

Hello, Probably a simple problem, but I am not able to figure it out. a \cos (\epsilon) - b \sin (\epsilon) = c in-phase part a \sin (\epsilon) - b \cos (\epsilon) = d out-of-phase part In order to find the phase shift, the in-phase term has to be divided by the out-of-phase...

Homework Statement I'm doing an integration by parts problem. After setting up [∫udv = uv - ∫vdu], I come across this situation. How is this algebraic manipulation accomplished? From: \int\frac{x^{3}}{1+x^{2}}dx To: \int x - \frac{x}{1+x^{2}}dx

Hi all, I have an ODE of the form \frac{d^{3}\psi}{d\xi^{3}}-A\left(\psi+\xi\frac{d\psi}{d\xi}\right)=0, where \psi=C_{1}U(\xi)+C_{2}V(\xi). Is there any transformation or inventive manipulation I can use here to obtain an ODE for \sigma=U(\xi)+V(\xi)? As this is the quantity I would...

I am attempting to devise an experiment to test exactly how successfully plasma can be manipulated by a natural magnet. Ideally, the gas to be ionized would be isolated in a vacuum tube, where it would be subjected to easily producible electromagnetic waves, either microwaves or ultraviolet...

Use algebraic manipulation to show that for three input varibles x1, x2, and x3 \summ(1,2,3,4,5,6,7) = x1 + x2 + x3 So far all I have is a truth table with 8 rows because I know 2^3 = 8 (starting at 0 of course, just assume the list I prepared on here is starting at 0 and not 1 - ending at...

Some background: I am in EE 280 Design of Logic Circuits. Problem: Use algebraic manipulation to prove that xy +yz +x!z = xy + x!z. (Note that this is the consensus property which is: xy + yz + x!z = xy + x!z) + mean OR, ! mean NOT. Please help! I am lost. I do have the rules near me (x AND 1...

Is it possible to write \(\lvert\dot{\mathbf{r}}\rvert\lvert\ddot{\mathbf{r}} - \dot{\mathbf{r}}\cdot\ddot{\mathbf{r}}\rvert\) as \(\lvert\dot{\mathbf{r}}\rvert\lvert\dot{\mathbf{r}}\times\ddot{\mathbf{r}}\rvert\)? I want to show $$...

Is there any manipulation of nuclear particle to sort out the nuclear reactor?

This isn't homework or anything, just something I tried and it doesn't seem to be consistent. I randomly just multiplied x^2 - 1 = 0 by x instead of factoring and solving: x^3 - x = 0. Then I factored out an x and got x(x^2 - 1) = 0. Then I divided by x^2 - 1 and got x = 0 which isn't a...

Homework Statement consider operator defined as \hat{O_A} = \hat{A} -<\hat{A}> show that (ΔA)^2=<\hat{O_A}^2> Homework Equations (ΔA)^2=<\hat{A}^2>-<\hat{A}>^2 The Attempt at a Solution (ΔA)^2=<\hat{A}^2>-<\hat{A}>^2 = <\hat{A}^2> - (\hat{A} -\hat{O_A})^2 = <\hat{A}^2> -...

hello, Do I have the right to perform the following : gjo,i + g0i,j = (gj0 δij + g0i ),j = (2 g0i ),j Thank you, Clear skies,

Homework Statement yy''+(y')2 = 0 Homework Equations yv(dv/dy)+v2=0 The Attempt at a Solution Variable separable when solving for the first step the result is: - ln |v| = ln |y| + C1 Now, I've looked at the remainder of the solution with a few other sources and the cause of...

I am working on a project that will require me to program a cnc like system that can adjust its code based on readings that it receives from sensors as it is running its program. Could anyone give me some pointers on where to start looking for this kind of software? I'm finding my weakness...

Consider the vectors a=<2,4,-3> and b=<4,-5,6>. Determine vectors v and w such that a=v+w and v is parallel to b while w is orthogonal to b.The dot product of two orthogonal vectors is zero and the cross product of two parallel vectors is zero. A parallel vector is a multiple of the chosen...

The unknown vector $\mathbf{v}$ satisfies $\mathbf{b}\cdot\mathbf{v} = \lambda$ and $\mathbf{b}\times\mathbf{v} = \mathbf{c}$, where $\lambda$, $\mathbf{b}$, and $\mathbf{c}$ are fixed and known. Find $\mathbf{v}$ in terms of $\lambda$, $\mathbf{b}$, and $\mathbf{c}$. I tried writing stuff out...

Homework Statement I have attached the relevant question as an image (for sake of ease) Homework Equations The Attempt at a Solution Also attached, in blue. Thanks a lot for any help at all!

Homework Statement Let A\inM_{n}(\Re) a matrix verifying A^{3}-A^{2}-I_{n}=0 a) Show that A is inversible and calculate it b) Show that the solution X\subsetM_{n}(\Re) of the equation A^{k}(A-I_{n})X=I_{n} has a unique solution. The Attempt at a Solution I'm having...

Homework Statement Homework Equations The equation that is already given + (maybe) I is proportional to A2f2. The Attempt at a Solution I took the square root of 8, 8 being the Amplitude and I being proportional to the square of A. (I make the constant of proportionality 1)...

Homework Statement Given that u(x,y) and y(x,z) are both continuous, differentiable functions show that (\frac{\partial u}{\partial z})x=(\frac{\partial u}{\partial y})x(\frac{\partial y}{\partial z})x Homework Equations Only equations given above The Attempt at a Solution I...

how does 1/2kx2 = 1/2mv2 + 1/2kx2 become x = (m/k)v2 + x2 ??

Homework Statement If A+B+C=pi where pi=180 and cotA+cotB+cotC=√3 show that A=B=C Homework Equations cot(A+B)= cotAcotB-1/cotA+cotB The Attempt at a Solution I have tried to solve it by using both A+B+C=pi and cotA+cotB+cotC=√3. I also know that we have manipulate the whole...

Homework Statement This is the equation for stresses and strains in a multilayered lamina. The actual purpose is irrelevant as I just am unsure what exactly the equation is saying (is it A * B * B^-1 * D^-1) I am unfamiliar with this matrix syntax.Homework Equations Below is a link to an image...

Homework Statement Hello, in physics the other day we sat a test which asked up to measure current and resistance of different resistors in a circuit. After collecting the data and plotting the graph for current vs resistance and coming up with a curve indicating an exponential relationship...

The only information my textbook gives me is this: We classify experimental manipulations into three broad types, depending on whether they involve variations in the physical, social, or instructional features of the experimental context. Social manipulations are usually dependent on...

I'm taking mechanics and my professor said that the upcoming test will be very similar to the homework problems assigned. But he said we should know how to work the problems backwards. So in the homework he gives us a and b and we have to solve for c and he's saying that on the test he will...

Homework Statement Xuv is a 4x4 tensor and Vu is a vector. Vu = (-1, 2, 0, -2) (i.e. it is a 1x4 vector). Find the quantities Vu Vu and Vu Xuv Homework Equations Given above The Attempt at a Solution I'm having trouble finding Vu. Initially I thought that it should be the...

Homework Statement I am working on a mathematical induction problem, where I need to prove: (1 - (-7) ^ (k + 2)) / 4Homework Equations (1 - (-7) ^ (k + 1)) / 4 + 2(-7) ^ (k + 1) The Attempt at a Solution So I just need to add the two items in section two above. Now I know I need a common...

Write a program that will read a line of text as input and then display the line with the first word moved to the end of the line. For example, a possible sample interaction with the user might be. "Enter a line of text. No punctuation please. java is the language I have rephrased that line...

Given two numbers m and n, I need to prove that if a linearly manipulate them I can reduce them to their gcd. example:- 5 and 3. 3+3-5=1 which is their gcd. For that I assumed m as gx and n as gy where g is their gcd and x&y are co-prime. So if I am able to prove that linear combination of...

I saw this in my book and I'm having a difficult time figuring out how this formula was manipulated algebraically to equal the other side. I know that it works because I've used it several times but I can't show that it is true. \frac{n(n-1)...(n-r+1)}{r!} = \frac {n!}{(n-r)!r!} One of...