Abstract: A physically oriented proof is given for the generalized Tellegen's theorem. The proof consists of applying the law of energy conservation to a hypothetical network in which all branch ...

Abstract: A new proof of the direct part of the quantum channel coding theorem is shown based on a standpoint of quantum hypothesis testing. A packing procedure of ...

Julia Kagan is a financial/consumer journalist and former senior editor, personal finance, of Investopedia. Erika Rasure is globally-recognized as a leading consumer economics subject matter expert, ...

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 ...

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 ...

Self-driving cars, autonomous robots, modern airplanes, or robotic surgery: we increasingly entrust our lives to computers and therefore should strive for nothing but the highest safety standards - ...

If you prefer to use the plugin directly with the Coq theorem prover without the vscode extension for Waterproof, for instance, one can install the coq-waterproof plugin in the following way. First ...

The House of Representatives passed a massive election integrity overhaul bill on Wednesday despite opposition from the vast majority of Democrats. The House passed Rep. Chip Roy's SAVE America Act, ...

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 ...

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 ...