AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we can't verify them. How will we know if they're right? When you purchase ...

The angle bisector is a ray that divides an angle into two congruent angles. Use the applet below to construct an angle bisector. Click the Why It Works button, and then answer the following questions ...

This book provides an introduction to the mathematical theory of games using both classical methods and optimization theory. Employing a theorem-proof-example approach, the book emphasizes not only ...

Proof of the Ergodic Theorem Two such sets S λ * belonging to different λ ’s are evidently distinct except for a set of measure 0. Hence there can exist only a numerable set S λ i * (i = 1, 2,) of ...

The minimal excludant of a partition λ λ, mex(λ) mex (λ), is the smallest positive integer that is not a part of λ λ. For a positive integer n n, σmex(n) σ mex (n) denotes the sum of the minimal ...