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 ...

Say you’re at a party with nine other people and everyone shakes everyone else’s hand exactly once. How many handshakes take place? This is the “handshake problem,” and it’s one of my favorites. As a ...

Microsoft is adding the Python programming language to Microsoft Excel, allowing users to create powerful functions for analyzing and manipulating data. The public preview of the feature is now ...

In this note, we will give the recursive formulas for sample mean and sample variance, and their generalized forms for batch updates. @online{yang2022batch, title ...

Panoptisch scans your Python file or module to find it's imports (aka dependencies) and recursively does so for all dependencies and sub-dependencies. It then generates a dependency tree in JSON for ...

In this paper we propose a new formula to divide power series. We develop two versions of the formula: a recursive and a non-recursive one, the latter aiming to reduce the computational cost for ...

Introduction: Estimates of future disease burden supports public health decision-making. Multistate modeling of chronic diseases is still limited despite a long history of mathematical modeling of ...