Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...

The equi-coordinate probability is the probability that a particular r of a collection of n variates are less than or equal to a constant, t, with the remaining n-r ...

The general terms of third order recursive sequences are expressed in terms of iterative formulas which do not depend on the explicit solution of the auxiliary equations. Some identities associated ...

More specifically, a solution to the recurrence relation is a value that satisfies "if each child call terminates with probability t, the parent call terminates with probability t" but a solution to ...