Nearly all sudoku puzzles are computer generated, using programs that understand all the logical solving strategies, from the most basic to the most sophisticated, and so can determine mathematically how hard or easy a puzzle is.

A zeroth-order approximation of a function (that is, mathematically determining a formula to fit multiple data points) will be constant, or a flat line with no slope: a polynomial of degree 0.

A first-order approximation of a function (that is, mathematically determining a formula to fit multiple data points) will be a linear approximation, straight line with a slope: a polynomial of degree 1.

A second-order approximation of a function (that is, mathematically determining a formula to fit multiple data points) will be a quadratic polynomial, geometrically, a parabola: a polynomial of degree 2.

Moreover, together with the residual life span, it mathematically determines the multiplier that is used to calculate the building's value.

To be able to mathematically determine whether one method was more efficient than another, he created a unit of measurement for the effort used to learn.

Don, not believing the preliminary findings, asks Dr. Charlie Eppes (David Krumholtz), his brother and a FBI math consultant, to mathematically determine whether she was inclined to commit suicide.

Different formulas exist to determine mathematically how much aid a school district will receive in any one category, not including the grants.

Game theory was conceived by John von Neumann to mathematically determine optimal strategies in situations in which a competition between adversaries is taking place.

Eudoxus of Cnidus develops the method of exhaustion for mathematically determining the area under a curve.