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| | sookocheff.com
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| | In a purely functional language - like lambda calculus - programs are expressed as nested function calls. Repetition in such an environment requires that nesting of function calls continues until some condition is met. During the repetition, each function passes its result to the next function in the nested chain and this repetition is completed when a test for some condition passes. The repetitive behaviour I've just described is recursion:
| | azdavis.net
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| | Various varieties of function in programming languages.
| | danielpecos.com
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| | Purpose of this post is to providea glimpse of the new features included in Java 8 that shiftthis language towards a more Functional Programming paradigm. But before, let's define what we understand for Functional Programming (FP). Functional programming key characteristics include: Higher Order Functions Pure Functions and Immutability Tail Call Recursion Higher Order Functions for a FP language means that functions are considered first class citizens, allowing the programmer to use them as any other value the language defines, for example, a Function value:
| | www.jeremykun.com
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| This proof assumes knowledge of complex analysis, specifically the notions of analytic functions and Liouville's Theorem (which we will state below). The fundamental theorem of algebra has quite a few number of proofs (enough to fill a book!). In fact, it seems a new tool in mathematics can prove its worth by being able to prove the fundamental theorem in a different way. This series of proofs of the fundamental theorem also highlights how in mathematics there are many many ways to prove a single theorem...