This operation is the fundamental tool for solving Diophantine equations, which is why its generalization was used to prove Fermat's Last Theorem. The Chinese remainder theorem regards the existence of solutions for systems of equations involving this operation, and arithmetic "under" this can be thought of as counting with reset once a certain namesake value is reached, so it is exhibited, for example, in 24 for the hour display on a digital clock. For ten points, name the mathematical operation, implemented by the % [
This operation is the fundamental tool for solving Diophantine equations, which is why its generalization was used to prove Fermat's Last Theorem. The Chinese remainder theorem regards the existence of solutions for systems of equations involving this operation, and arithmetic "under" this can be thought of as counting with reset once a certain namesake value is reached, so it is exhibited, for example, in 24 for the hour display on a digital clock. For ten points, name the mathematical operation, implemented by the % ["percent sign"] operator in many computer languages, which yields the remainder of dividing one number by another.
This operation is the fundamental tool for solving Diophantine equations, which is why its generalization was used to prove Fermat's Last Theorem.
{mod}ulus (or {mod}ular {arithmetic} or {mod}ulus arithmetic; prompt on {clock} arithmetic)