The Hermite transform, also known as the Hermite polynomial transform, is a mathematical transform that uses Hermite polynomials as basis functions. Hermite polynomials are a set of orthogonal polynomials that arise in probability, combinatorics, and physics, particularly in the context of quantum mechanics and the study of Gaussian functions.
Hui Shi (also known as Huishi or Hu Shih) refers to a notable figure in Chinese philosophy and a prominent scholar from the Warring States period (approximately 475-221 BCE). He was a philosopher associated with the School of Names (Logicians) and was known for his dialectical skills and contributions to logic and semantics.
Feng Liu is a physicist known for his contributions to the fields of condensed matter physics, materials science, and nanotechnology. His research often involves the study of material properties at the nanoscale, including the development of new materials with unique electronic, optical, and mechanical properties. Liu's work may cover topics such as two-dimensional materials, quantum materials, and the interface between physics and engineering applications.
Free computer algebra systems (CAS) are software programs that facilitate symbolic mathematics, enabling users to perform algebraic computations, manipulations, and analyses in a symbolic form rather than just numerical calculations. These systems allow users to work with algebraic expressions, solve equations, perform integration and differentiation, and handle polynomials, matrices, and more, all while keeping the mathematical entities in their symbolic form.