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For example, to perform an element by element sum of two arrays, a and b to produce a third c, it is only necessary to write c = a + b In addition to support for vectorized arithmetic and relational operations, these languages also vectorize common mathematical functions such as sine.
The literature on programming languages contains an abundance of informal claims about their relative expressive power, but there is no framework for formalizing such statements nor for deriving interesting consequences. [52] This table provides two measures of expressiveness from two different sources.
For matrices in mathematical notation, the first index indicates the row, and the second indicates the column, e.g., given a matrix , the entry , is in its first row and second column. This convention is carried over to the syntax in programming languages, [ 2 ] although often with indexes starting at 0 instead of 1.
The rest is literal code. Guillemets (« and ») enclose optional sections. Tab ↹ indicates a necessary (whitespace) indentation. The tables are not sorted lexicographically ascending by programming language name by default, and that some languages have entries in some tables but not others.
Python Yes - - - ORM-agnostic via pytest: depends on ORM Yes Jinja2 - Yes Yes Flask: Python Yes - - Yes ORM-agnostic via unittest depends on ORM Yes Jinja2: Yes Yes Yes Jam.py: Python, JavaScript: Yes Event driven Yes Yes Yes via pytest and mocha Yes Yes Yes Yes Yes Yes Pyjs: Python, JavaScript: Yes Use PureMVC Python version (compiled to ...
Python. The use of the triple-quotes to comment-out lines of source, does not actually form a comment. [19] The enclosed text becomes a string literal, which Python usually ignores (except when it is the first statement in the body of a module, class or function; see docstring). Elixir
The matrix left-division operator concisely expresses some semantic properties of matrices. As in the scalar equivalent, if the (determinant of the) coefficient (matrix) A is not null then it is possible to solve the (vectorial) equation A * x = b by left-multiplying both sides by the inverse of A: A −1 (in both MATLAB and GNU Octave ...
The following exposition of the algorithm assumes that all of these matrices have sizes that are powers of two (i.e., ,, ()), but this is only conceptually necessary — if the matrices , are not of type , the "missing" rows and columns can be filled with zeros to obtain matrices with sizes of powers of two — though real implementations ...