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SymPy is an open-source Python library for symbolic computation. It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live [2] or SymPy Gamma. [3] SymPy is simple to install and to inspect because it is written entirely in Python with few dependencies.
The PGF/TikZ interpreter can be used from the popular LaTeX and ConTeXt macro packages, and also directly from the original TeX. [ 2 ] : 116 Since TeX itself is not concerned with graphics, the interpreter supports multiple TeX output backends: dvips , dvipdfm / dvipdfmx / xdvipdfmx , TeX4ht , and pdftex 's internal PDF output driver.
Asymptote is also notable for having a graphical interface coded in Python (and the Tk widget set), xasy.py – this allows an inexperienced user to quickly draw up objects and save them as .asy source code which can then be examined or edited by hand. The program's syntax was originally described by using a Yacc compatible grammar.
In mathematics, a norm form is a homogeneous form in n variables constructed from the field norm of a field extension L/K of degree n. [1] That is, writing N for the norm mapping to K, and selecting a basis e 1, ..., e n for L as a vector space over K, the form is given by
In mathematics, the operator norm measures the "size" of certain linear operators by assigning each a real number called its operator norm. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces .
Suppose a vector norm ‖ ‖ on and a vector norm ‖ ‖ on are given. Any matrix A induces a linear operator from to with respect to the standard basis, and one defines the corresponding induced norm or operator norm or subordinate norm on the space of all matrices as follows: ‖ ‖, = {‖ ‖: ‖ ‖ =} = {‖ ‖ ‖ ‖:} . where denotes the supremum.
OGRePy [34] is Python port of the Mathematica package OGRe (see § Software for use with Mathematica), released in 2024 for Python 3.12 and later. It utilizes SymPy for symbolic computations and Jupyter as a notebook interface. OGRePy allows calculating arbitrary tensor formulas using any combination of addition, multiplication by scalar, trace ...
In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin.