C++, Java, Lisp, and ALGOL. Variable declarations are typically omitted. Function calls and blocks of code, such as code contained within a loop, are often replaced by a one-line natural language sentence. Depending on the writer, pseudocode may therefore vary widely in style, from a near-exact imitation of a real programming language at one extreme, to a description approaching formatted prose at the other. Mathematical style pseudocode In numerical computation, pseudocode often consists of mathematical notation, typically from set and matrix theory, mixed with the control structures of a conventional programming language, and perhaps also natural language descriptions. This is a compact and often informal notation that can be understood by a wide range of mathematically trained people, and is frequently used as a way to describe mathematical algorithms. For example, the sum operator (capital-sigma notation) or the product operator (capital-pi notation) may represent a for-loop and a selection structure in one expression: Normally non-ASCII typesetting is used for the mathematical equations, for example by means of markup languages, such as TeX or MathML, or proprietary formula editors. Mathematical style pseudocode is sometimes referred to as pidgin code, for example pidgin ALGOL (the origin of the concept), pidgin Fortran, pidgin BASIC, pidgin Pascal, pidgin C, and pidgin Lisp. Common mathematical symbols Example Here follows a longer example of mathematical-style pseudocode, for the Ford–Fulkerson algorithm: algorithm ford-fulkerson is input: Graph G with flow capacity c, source node s, sink node t output: Flow f such that f is maximal from s to t (Note that f(u,v) is the flow from node u to node v, and c(u,v) is the flow capacity from node u to node v) for each edge (u, v) in GE do f(u, v) ← 0 f(v, u) ← 0 while there exists a path p from s to t in the residual network Gf do let cf be the flow capacity of the residual network Gf cf(p) ← min{cf(u, v) | (u, v) in p} for each edge (u, v) in p do f(u, v) ← f(u, v) + cf(p) f(v, u) ← −f(u, v) return f Machine compilation of pseudocode style languages Natural language grammar in programming languages Various attempts to bring elements of natural language grammar into computer programming have produced programming languages such as HyperTalk, Lingo, AppleScript, SQL, Inform, and to some extent Python. In these languages, parentheses and other special characters are replaced