Community driven content discussing all aspects of software development from DevOps to design patterns. The factorial of 5 is 120. The factorial of 10 is 3,628,800. Programmers can take one of two ...

The probability distribution of the number of defaults plays an important role in pricing problems of multiple-name credit derivatives. When the group size gets large, it becomes increasingly ...

This repository contains mathematical models inspired by the “Recursive Field” scientific math song. The song describes a pattern reminiscent of phyllotaxis (the arrangement of leaves or seeds) where ...

In this note, we will give the recursive formulas for sample mean and sample variance, and their generalized forms for batch updates.

In this paper, we derived a simple recursion formula for the volumes of moduli spaces of hyperbolic surfaces with boundaries. This formula reflects clearly that the volumes are polynomials. By ...

This paper presents recursive formulas which admit simultaneous tests of stability and evaluation of quadratic loss functions for linear discrete-time dynamical systems. The method admits a ...

It is shown that the Migdal approximate-renormalization recursion formulas always bring the initial state into the high-temperature region for the U(1)-invariant models at the critical dimensions.