Decomposition Definition and 414 Threads

Having trouble with one more problem: find the parial fraction decomposition for th erational expression: -8x^3-2 x^2(x-1)^3

Hi, How can I decompose a 3x3 rotation matrix R, into a form: R = rot(v3,c) X rot(v2,b) X rot(v1,a) where v1,v2,v3 are known unit length axes (with angles a,b,c unknowns)? Thank you, Cristian

Any one knows what the decomposition temperature of ZnSe semiconductor doped with Cl is? I am doing some annealing with a simple equipment but worring about the volatilization of Cl, which would be dangerous. Thanks a lot!

Suppose I want to decompose A = \left(\begin{array}{cc}4&4\\-3&3\end{array}\right). A = U \Sigma V^T => A^T A = V \Sigma^2 V^T and A A^T = U \Sigma^2 U^T So 2 independent eigenvectors of A^T A are a basis for the row space of A and 2 independent eigenvectors of A A^T are a basis for the...

I know that, given an arbitrary unitary matrix A, it can be written as the product of several "local" unitary matrices Ai -- local in the sense that they only act on a small constant number of vector components, in fact it is sufficient to take 2 as that constant, which is best possible. For...

Use partial fraction decompostion to find: \int_{a}^{b} \frac{2x-1}{x^2(3x+1)(x^2 + 1)} is this partial fraction set up correct? \frac{A}{3x +1} + \frac{Bx + C}{x^2 +1} + \frac{Dx + E}{x^2} = 2x - 1 If this is correct i can solve the integral.

For the decomposition of hydrogen peroxide in the presence of manganese(IV) oxide, what is the chemical method to determine the concentration of hydrogen peroxide, at different times? The solution is: To add the reaction mixture in dilute sulphuric acid, and then titrate the reaction mixture...

Hi, I have heard, that a second rank tensor can always be decompose into a spin-2, a spin-1 and spin-0 part, being reducible. I want to pursue this further. Can anyone suggest me a nice reference for it? TIA Nikhil

Hi! I was just wondering if the decomposition of ferric sulfide can break down into S8 molecules and ferric ions? Thanks in advance!

It is well-known that using the Clebsch decomposition of a velocity field, the helicity contained in an any closed vortex tube is zero. Does the converse hold? That is, given zero helicity in any closed vortex tube, does this imply that the velocity field has a Clebsch decomposition?

Hello, I have a question about what I would call, for want of a better name, matrix decomposition. However, my question does not concern standard decompositions like eigenvalue or Cholesky decomposition. The problem: Assume given two real and square matrices C and D. C is symmetric...

Viva! I usually come upon this statement: " Since B is solenoidal, it can be split into Toroidal and Poloidal parts, i.e, B=Bt+Bp, where Bt=curl(Tr) and Bp=curlcurl(Pr)" How can I prove this?? I think it is somehow related with the stokes theorem... Looking forward for...

Does anyone know anything about this? I got a look at wolfram.com and I didnt get much. I would like to prove that in fact, any divergenceless vector field can be decompose in a toroidal part and a poloidal part. And I think the proof of this is somehow related with this theorem...

Can anyone explain to me really quick how to go about Synthesis and Decomposition of compounds, can you show me an example with Aluminum Flouride and Potassium Chloride ? Thank you for your help