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 ...
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 ...
Abstract: In this paper, we present three order-recursive formulas for the Moore-Penrose pseudoinverses of matrices which are the improved and extended Greville formulas (1960). These new versions not ...
We construct a new perturbative expansion whose zeroth-order approximation gives the Migdal-Kadanoff recursion equations. By this expansion it is therefore possible to improve systematically the ...
Abstract: Many graph polynomials, such as the Tutte polynomial, the interlace polynomial and the matching polynomial, have both a recursive definition and a defining subset expansion formula. In this ...
In this note, we will give the recursive formulas for sample mean and sample variance, and their generalized forms for batch updates.
Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying ...
Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying ...
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