Inequalities & Intervals for Programming - Interval Programming ™

Matrix or Database Generator

The traditional inequality is a one variable array or matrix. It is also one database record or database element or simply a database, in brief.

In all examples below, time is a critical independent variable, as a continual variable component as well as a series of constant values or simply constants. The latter are timestamps.

Example 1

h[ a]    <    x    <    h[ a + 1] ,

h[ a ]    =<    -x    =<    h[ a + i ]

Example 2

Extended Version

A = x [ 1 ] , x [ 2 ] , x [ 3 ] , … , x [ n ]

A = 2 * Pi * f * ( ( t[2] - t[1] ) , ( t[3] - t[2] ) , ( t[4] - t[3] ) , … , ( t[n] - t[n - 1] ) )

In accordance with BEDMAS Law, do not simplify the period intervals any further. IT would refer to those intervals as timestamp intervals.

© Sydney Matinga 2025