Definition - Integer C is integer A divided by integer B that is computed by the following procedure:
Procedure
Q is 0.
R is |A|.
AA. If R is less than |B|, Go to EE.
BB. |B| subtracted from R is the whole number that R becomes now.
CC. Increment Q.
DD. Go to AA.
EE. If both A and B, or neither A and ,B are less than 0, then Go to HH.
FF. The product of -1 and Q is the integer that Q becomes now.
GG. The product of -1 and R is the integer that R becomes now.
HH. Q is the integer that C becomes now.
II. C is the quotient, R is the remainder, and this procedure is ended.
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Definition - An item is a fraction if and only if it is an integer divided by an integer.
Definition - The numerator in the fraction that is integer A divided by integer B is the integer A.
Definition - The denominator in the fraction that is integer A divided by integer B is the integer B.
Notation - A fraction is notated this way: A/B.
Definition - A rational number is a fraction that is integer A divided by integer B, where B is not zero.
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Definition - The non-negative rational number A/B is greater than the non-negative rational number C/D if and only if the product of |A| and |D| is greater than the product of |B| and |C|.
Definition - The non-negative rational number A/B is always greater than the negative rational number C/D.
Definition - The negative rational number A/B is greater than the negative rational number C/D if and only if the product of |B| and |C| is greater than the product of |A| and |D|.
Definition - The negative rational number A/B is never greater than the non-negative rational number C/D.
Definition - A variable is a number selected from a set of numbers.
Definition - A function is a rule that associates each permissible input number with one and only one output number.
Definition - The domain of a function is the set of the function's permissible input numbers.
Definition - The range of a function is the set of the function's output numbers.
Definition - The independent variable of a function is a variable whose value is selected from the domain of the function.
Definition - The dependent variable of a function is a variable whose value is selected from the range of the function.
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