MODULES IN MATHEMATICA
www.dslavsk.sites.luc.edu › phys301 › classnotesMODULES IN MATHEMATICA As we have seen in many instances, Mathematica defines functions and values to be global, mean-ing if we say x = 3, then x = 3 until we change it or redefine it. Sometimes in programming, it is useful to define variables locally, meaning that we can define these variables in an isolated region of our program.
Module -- from Wolfram MathWorld
mathworld.wolfram.com › ModuleJan 12, 2022 · A module is a mathematical object in which things can be added together commutatively by multiplying coefficients and in which most of the rules of manipulating vectors hold. A module is abstractly very similar to a vector space, although in modules, coefficients are taken in rings that are much more general algebraic objects than the fields used in vector spaces. A module taking its ...
Combining the Commands into a Mathematica Module
www.usu.edu › math › koebbeSecondly the function involves the Mathematica command Module. This just tells Mathematica to perform all the commands in the module (like a subroutine in Fortran or method in C++). There are some special features we need to understand in the Module command. The Module command has two arguments. The first argument is a list of all the local ...
Module (mathematics) - Wikipedia
https://en.wikipedia.org/wiki/Module_(mathematics)• If K is a field, then K-vector spaces (vector spaces over K) and K-modules are identical.• If K is a field, and K[x] a univariate polynomial ring, then a K[x]-module M is a K-module with an additional action of x on M that commutes with the action of K on M. In other words, a K[x]-module is a K-vector space M combined with a linear map from M to M. Applying the structure theorem for finitely generated modules over a principal ideal domain to this example shows the existence of the ratio…
Module—Wolfram Language Documentation
reference.wolfram.com › language › refYou can use Module [ { vars }, body /; cond] as the right ‐ hand side of a transformation rule with a condition attached. Module has attribute HoldAll. Module constructs can be nested in any way, with inner variables being renamed if necessary. Module is a scoping construct that implements lexical scoping.