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January 5th, 2017, 11:29 AM  #1 
Newbie Joined: Jan 2017 From: Irvine California Posts: 3 Thanks: 0  Nomenclature
Just would like some help on getting my understanding on the right footing on certain terms. Math can be displayed in its raw form in these methods: equations A balanced expression; such that, it has two expressions on each side. functions I would use algorithm to describe this term, because it is essentially an expression with an input. It has its own rules under geometry/calculus on how it must behave.  algorithm (synonym minus the constraints a function has) formulas almost like a functions except with more than one input. Granted a function can have more than one variable, however, the 'function' still obeys the input output behavior designated by its definition.  expression (synonym?)  polynomials (synonym?) Anyone critique or inform me on any of those or those I have left out. Much appreciated Buffalo 
January 5th, 2017, 12:51 PM  #2  
Senior Member Joined: Aug 2012 Posts: 824 Thanks: 140  Quote:
Quote:
As a specific example of a function that has no algorithm, suppose we flip a fair coin one time for each natural number. Most of the time the resulting bitstring will be random; that is, not compressible to a smaller string. That's a function that has no algorithm. Formula is more a term from logic, as in wellformed formula. It's a syntactic entity composed of symbols from some formal alphabet. But that terminology is not used consistently in math. For example we have the "quadratic formula" that gives the solution to a quadratic equation. Last edited by Maschke; January 5th, 2017 at 01:18 PM.  

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