Invariant theory is a branch of mathematics that studies the properties of objects that remain unchanged under certain transformations. In the context of algebraic groups, this involves ...

This evolution has unlocked immense potential but has also introduced an escalating number of hacks. We need a paradigm shift toward invariant-driven development to drive the industry toward a more ...

ABSTRACT: This paper presents a nonlinear micropolar nonclassical continuum theory (MPNCCT) for finite deformation, finite strain deformation physics of thermosviscoelastic solid medium with memory ...

However, this area remains largely unexplored. This work proposes an Invariant Subgraph GNN (IS-GNN) to learn general brain network representations for classifying various brain disorders in ...

Abstract: In this paper a theory of two-dimensional moment invariants for planar geometric figures is presented. A fundamental theorem is established to relate such moment invariants to the well-known ...

A Chinese national team head coach talks on the triumphs and recent travails of the popular mathematics competition in China.

Content creators and artists argue that the current models are opaque, ... The math that describes the branching pattern of trees in nature also holds for trees depicted in art—and may even ...

The scale invariance in branch diameter dictates how much smaller a limb should be as it branches and how much investment a ...

Pure mathematics uses mathematics to explore abstract ideas, mathematics that does not necessarily describe a real physical system. This can include developing the fundamental tools used by ...

From the golden ratio to the Fibonacci sequence, this guide reveals the secret mathematics of design that every designer needs to know. Design has always had a close relationship with mathematics.

Yet only “Gray Tree” has scale-invariant branch diameters. When Mondrian removes the scale invariance in “Blooming Apple Tree ...

On February 11, 2025, the current US government published a website of the US Senate Commerce Committee (Chairman Ted Cruz) announcing the results of an “investigation” into research grants funded by ...