Students are often unsure why angles in the same segment of a circle have to be equal. Colin Foster explains how to make it ...

Object Details Maker A. Harry Wheeler Description In this plastic model, a transparent tetrahedron has isosceles triangles for side faces. Inside it is a white triangle with one edge on the base and ...

For instance, it will be surprising to some that there is no mention of the golden triangle, a so-called sublime triangle: an isosceles triangle in which the two sides of equal length are in the ...

Learning with TOI News: The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using t ...

We investigate a fundamental electromagnetic theorem, namely the uniqueness theorem, in the context of nonlocal electromagnetics, as simulated by a popular semiclassical model, the hydrodynamic Drude ...

Based on discrete martingale theory, the LaSalle-type theorem for general discrete-time stochastic systems is obtained and the almost sure stability is in turn discussed. As applications, infinite ...

Fermat’s Last Theorem is a mathematical conjecture about integer numbers, while the 3D Pythagoras’ theorem is a mathematical and geometrical proof about real numbers.

This book provides a comprehensive description of a new method of proving the central limit theorem, through the use of apparently unrelated results from information theory. It gives a basic ...

For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, ...

Suggested conventions and examples for Lean formalization of IMO problem statements - jsm28/IMOLean ...