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Nested functions can be used for unstructured control flow, by using the return statement for general unstructured control flow.This can be used for finer-grained control than is possible with other built-in features of the language – for example, it can allow early termination of a for loop if break is not available, or early termination of a nested for loop if a multi-level break or ...
The algorithm for deciding this is conceptually simple: it constructs (the description of) a new program t taking an argument n, which (1) first executes program a on input i (both a and i being hard-coded into the definition of t), and (2) then returns the square of n. If a(i) runs forever, then t never gets to step (2), regardless of n.
In Axiom, each object has a type. Examples of types are mathematical structures (such as rings, fields, polynomials) as well as data structures from computer science (e.g., lists, trees, hash tables). A function can take a type as argument, and its return value can also be a type.
In the example above, if the discount is 10%, then the first if statement will be evaluated as true and "you have to pay $30" will be printed out. All other statements below that first if statement will be skipped. The elseif statement, in the Ada language for example, is simply syntactic sugar for else followed by if.
For example, if we already know the values of F 41 and F 40, we can directly calculate the value of F 42. Some programming languages can automatically memoize the result of a function call with a particular set of arguments, in order to speed up call-by-name evaluation (this mechanism is referred to as call-by-need).
The term mathematical program can refer to: A computer algebra system which is a computer program that manipulates mathematical entities symbolically Computer programs that manipulate numerical entities numerically, which are the subject of numerical analysis
Sheriffs in Wisconsin sprang into action Friday night when a 10-year-old boy called 911 with a dire emergency: math homework. Hero cop dispatched to help 10-year-old who called 911 for help with ...
This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...