Table of Contents
What is tensor in differential geometry?
In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. The concept enabled an alternative formulation of the intrinsic differential geometry of a manifold in the form of the Riemann curvature tensor.
What is tensor according to physics?
A tensor is a concept from mathematical physics that can be thought of as a generalization of a vector. While tensors can be defined in a purely mathematical sense, they are most useful in connection with vectors in physics. In this article, all vector spaces are real and finite-dimensional.
Are tensor and matrix the same?
In a defined system, a matrix is just a container for entries and it doesn’t change if any change occurs in the system, whereas a tensor is an entity in the system that interacts with other entities in a system and changes its values when other values change.
Why do we use the indicial notation of tensors?
The indicial notation of tensors permits us to write an expression in a compact manner and to use simplifying mathematical operations. In a large number of problems in differential geometry and general relativity, the time consuming and straightforward algebraic manipulation is obviously very important.
What is the importance of tensor computation?
In a large number of problems in differential geometry and general relativity, the time consuming and straightforward algebraic manipulation is obviously very important. Thus, tensor computation came into existence and became necessary and desirable at the same time.
What is a tensor in physics?
Tensors are mathematical objects that generalize vectors and matrices. They describe geometrical quantities and they are used in various applied settings including mathe matical physics. The indicial notation of tensors permits us to write an expression in a compact manner and to use simplifying mathematical operations.
What version of Mathematica do I need to run a remotericci?
Ricci requires Mathematica version 2.0 or greater. The source takes approximately 283K bytes of disk storage, including about 49K bytes of on-line documentation. I have tested the current version of the package with Mathematica 5.0 under Windows.