Noether discovered that for every continuous symmetry of a system, there is a conserved quantity—that is, a quantity that ...

In this video, we explore Noether's theorem and its implications on the fundamental conservation laws in physics. **Chapters: ...

Abstract: Several results on instability in nonhomogeneous architectures able to generate Turing patterns are presented. The approach makes use of the continuity theorem regarding the dependence of ...

A general theory of linear functional equations on a composite range with application to projective functional transformations including a fuller account of the work of this note is to be published ...

Abstract: Several topological and analytical notions of continuity and fading memory for causal and time-invariant filters are introduced, and the relations between them are analyzed. A significant ...

When we talk about business continuity, what usually comes to mind is disaster recovery, backup processes and resilience planning. These elements are critical, but there’s one aspect that’s often ...

In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional mathematicians. Now, a new article not ...

Minecraft's modern building aesthetic is one of the best in the game. It is characterized by odd combinations of shapes, huge glass windows, and concrete. However, there is one downside to the title's ...

Check out Polygon's Spicy Takes Week, our celebration of fun arguments that bring a little extra heat to the table. There’s more than one way to shepherd a massive, multigenerational continuity, and ...

Pythagoras Theorem: This article explains the concept of Pythagoras Theorem and its converse. Know the definition, formula, proof, examples and applications of Pythagoras Theorem. Pythagoras Theorem: ...