Recent content by vaibhavtewari

If I may ask, what really does such contraction does ? For example say stress-energy tensor, if I contract it the trace does not seem to give any information! For Reimann Tensor I understand all these tensors are irreducible representation it. Is there any other example where some sort of...

Thank You for replying. I think I did not state the question clearly. I gave Riemann Tensor only as an example. My original question is If a Tensor field encodes physics/geometry of an example, will a contracted Tensor field also hold similar information but only a subset of original one ? Are...

Hello Everyone, I came here with a question and hope you can shed some light. We know that Ricci tensor which is a contraction of Riemann tensor contains a subset of information as contained by Riemann tensor. In 3-D infact they contain the same information. I was wondering is it always...

can you show it in math. Like this is the integral, something that is not worded. I am pretty sure any thing in physics that can be worded can be written in equations. Thanks

thanks for replying but this is almost reworded version of the statement...can you show them in equations and math To maximize the integral that gives you g at some point, while minimizing the used mass, you have to fill the space with mass in the order in which each point contributes to the...

Hello Everyone, I kind of followed this document http://pages.physics.cornell.edu/~aalemi/random/planet.pdf until on page 3, author explains What we are trying to due, is build the planet such that each chunk con- tributes as much as possible to this integrand...

that is true but then I solve these simultaneous equations...so I was hoping for something structured..

variable S_k is not a constant, so there are basically N+L variables...thanks for trying

I have a function \displaystyle\sum_{n=0}^{N-1}\left(x_n-\sum_{i=0}^{L-1}a_iS_{i+n}\right)^2 if I do a partial differentiation with respect to S_k what would I get ? thanks

my maximum matrix size is 100*100, I want to find all the eigen values.

What are your thoughts regarding QR decomposition ?

That is true for any matrix, I was hoping to get an algorithm ..my matrix is large

Hi, i was wondering is there a way I can find the eigenvalues of a positive definite matrix. ?

I have a 40*40 matrix which has elements very close to 1 on diagonal and very small off-diagonal elements. I find determinant of many of these randomly generated matrix, determinant is roughly multiplication of diagonal matrix squared. As (.95)^40 is a small number and (1.05)^40 is a bignumber...

When I try Simplify[Sqrt[1/(c^2 L^2 - k^2 q^2 Q^2)] Sqrt[c^2 L^2 - k^2 q^2 Q^2], c^2 L^2 - k^2 q^2 Q^2 > 0] I get Sqrt[1/(c^2 L^2 - k^2 q^2 Q^2)] Sqrt[c^2 L^2 - k^2 q^2 Q^2] as output but when I try Simplify[Sqrt[1/(c^2 L^2 - k^2 Q^2)] Sqrt[c^2 L^2 - k^2 Q^2], c^2 L^2 - k^2 Q^2 >...