I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.

Dion2 reduces the cost of Muon’s orthonormalization step by orthonormalizing only a small, selected submatrix at each iteration. This lightweight approach preserves Muon’s strong performance while ...

Abstract: To efficiently design frequency selective surface (FSS) structures with more degrees of freedom (DoFs), this work proposes a machine learning-based inverse hybrid design method (IHDM) which ...

One of the fundamental operations in machine learning is computing the inverse of a square matrix. But not all matrices have an inverse. The most common way to check if a matrix has an inverse or not ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

We present a systematic derivation of three mathematical models of increasing complexity for optical design, based on Hamilton’s characteristic functions and conservation of luminous flux, and briefly ...

Set between The Matrix and The Matrix Reloaded, Kid’s Story focuses upon a teenage boy named Michael Karl Popper (voiced in the English dub by Watson) who has long sensed something being off in the ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. The development of low-loss reconfigurable integrated optical devices enables further ...

Erasures codes, particularly those protecting against multiple failures in RAID disk arrays, provide a code-specific means for reconstruction of lost (erased) data. In the RAID application this is ...

Teaching techniques refer to the diverse array of strategies and methodologies employed by educators to engage students and facilitate effective learning experiences. What are some examples of ...