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DECIDE's Math Defintions

Writer: John HeemeyerJohn Heemeyer

Updated: May 21, 2019






We here at D.E.C.I.D.E. are very analytical people. As such whenever we work with mathematics and the sciences we can get frustrated with the methodologies allowed to us. Thus we have come together and found new and interesting mathematical operations that we make constant use of through many of our works. To assist with your understanding of what you see within our articles, we have decided to place the definitions of these new operations as well as our definitions of new (and some old) terms that these operations affect.

This Article will be updated whenever a new definition must be made (that differs from the standard mathematical lexicon)


Open operation: The basic operations of mathematics. These operations all allow for inputs to appear before and after the given operation itself. Examples are: Addition (+); Subtraction (-); Multiplication (x); Division (/); Exponents (^); and Roots ()


Closed Function: operations that separate themselves from the rest of the formula until completed. Closed operations come in many forms, some are simple separators, some have multiple inputs, while others may appear similar to an Open operation. A Closed operation may act as a single input for any other operation. Examples of Closed operations include; (){}[] any form of parenthesis or bracket;

! the Factorial;


the Summation Notation;


the new operations of Simultaneous Operation;


the Factoriation Notation;



@ and the Sumorial.


Sealed operation: operations that use specific internal formulae to determine their output. Will always consist of the operation and a single input (either a Closed operation or a number). Examples include tan, cos, cot, sin, sec, and csc.


Denominator: The value(s) below a line in a fraction. When used in a formula, if multiple inputs are in the Denominator, the Denominator is considered a Closed Operation (must be completed prior to the division operation takes place).


Input: Any number (real, imaginary, etc.), Variable, or Closed operation.


Numerator: The value(s) above a line in a fraction. When used in a formula, if multiple inputs are in the Numerator, the Numerator is considered a Closed Operation (must be completed prior to the division operation takes place).


Value: The result of an operation, generally calculated prior to the next operation or completion of the equation. a Value is always listed as a number or as a number and variable combination (if the variable remains unknown)

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© 2016-2019 by John Heemeyer and the DECIDE crew.

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