1. Defining Fundamental Concepts The vector space ($V$), an abstract algebraic structure, represents a set of elements called vectors. These vectors allow for clear mathematical operations of addition between them and multiplication by a real scalar. The inner product, a…
Linear algebra, the branch of mathematics devoted to the study of vectors, provides the necessary formal apparatus for the quantification of abstract concepts. A vector space is an algebraic structure consisting of a set of elements called vectors, which support…
We all have a piece of a number hidden in the occult fabric of our 1000th mask… We all are a piece of a universe diving deep, sinking high in a moving particle of a past time… We all feel…
Mathematical ethics, or digital ethics, a formal system of rules governing the behavior of autonomous computational systems, represents a logical extension of applied mathematics into the field of human values. This field examines how moral principles can be translated into…
The Vietnamese Institute for Advanced Study in Mathematics (VIASM) hosted a lecture with this title delivered by Professor Matthew R. Ballard. The event examined the ability of artificial intelligence models to solve complex mathematical problems. Recent algorithmic systems have achieved…
Purdue University has commissioned the Gautschi‑AI supercomputer, a high‑performance computing system featuring a dual‑partition architecture and based on NVIDIA Hopper architecture processing units. The Hopper architecture is a type of graphics processing unit (GPU) designed specifically for accelerating large‑scale parallel…
By mathematical architecture we understand a formal system composed of axioms, theorems, functions, and strict logical rules. This system structures abstract entities and defines the quantitative or spatial relations among them. Its primary function consists in the precise modeling of…
1. Pythagoreanism Definition: A philosophical and religious tradition founded by Pythagoras, emphasizing that number and mathematical harmony constitute the fundamental structure of reality, influencing ethics, cosmology, and metaphysics. Values such as virtue and moral harmony were conceptualized through proportionality and…
The U.S. National Academies of Sciences, Engineering, and Medicine opened the annual Space Science Week event on March 23, 2026. The first day’s sessions brought together international experts at the organization’s headquarters in Washington, D.C. Discussions focused on the implementation…