About this final editionThis paper is a sequel to “Causal Sets as ‘Funeral Procession’ — Complete Edition” (v9) and serves as ...

On both the right and the left, there is an average of one electron. However, when counting the probability of two electrons ...

40 fully worked examples on the factor theorem and polynomial division for the OCR Level 3 FSMQ: Additional Mathematics (6993) qualification. Every solution is broken down one line at a time, ...

Hongsheng Zhang of China's University of Jinan has shown that spacetimes with a global null foliation cannot contain closed ...

30 fully worked questions on polynomials and the factor theorem for OCR B (MEI) A-Level Maths (H640), built for Year 12 students who want to expand, divide, factorise and sketch polynomials with ...

Therefore, mutual restraint is a Nash equilibrium. But when both harden, each receives zero. If either unilaterally changes ...

Radiologists, like mathematicians, value human understanding, not just "knowing the answer". Medical AI that enhances human ...

Anthropic researchers have unveiled FlashProve, a prototype that uses zero-knowledge proofs to verify quantized LLM inference ...

Quantum Monte Carlo simulations reveal two distinct pathways for heavy electron transport in a U(1) lattice gauge model, ...

Wellner conjecture - no Poisson-binomial outcome exceeds its Poisson probability by more than mean/variance - ipitchford/poisson-binomial-density-ratio ...

Researchers have released CSOMA, an open-source MATLAB toolkit that uses a competition-based swarm algorithm to solve derivative-free optimization problems in optimal experimental design and beyond.

AI can help theoretical computer scientists search for algorithms, proof components, and combinatorial structures. Here’s what recent results show—and why verification still matters.