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Transactions of the American Mathematical Society Series B • Vol 9 • No 21
Separable integer partition classes
2022
A classical method for partition generating function is developed into a tool with wide applications. New expansions of well-known theorems are derived, and new results for partitions with <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http:…
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Programming Language

Language for controlling a computer

A programming language is an artificial language for expressing computer programs.

Programming languages typically allow software to be written in a human readable manner.

Execution of a program requires an implementation. There are two main approaches for implementing a programming language – compilation, where programs are compiled ahead-of-time to machine code, and interpretation, where programs are directly executed. In addition to these two extremes, some implementations use hybrid approaches such as just-in-time compilation and bytecode interpreters.

The design of programming languages has been strongly influenced by computer architecture, with most imperative languages designed around the ubiquitous von Neumann architecture.

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Transactions of the American Mathematical Society Series B • Vol 9 • No 21
Separable integer partition classes
2022
A classical method for partition generating function is developed into a tool with wide applications. New expansions of well-known theorems are derived, and new results for partitions with <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n"> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding="application/x-tex">n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> copies of <inline-formula content-type="math/mathml"> <mml:math xmlns:…
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