model public static void mul(\bigint a, \bigint b) { check \bigint.zero == (\bigint)0; assert a != \bigint.zero; var c = a * b; var d = c / a; //+ESC@ show a, b, c, d ...

The ability of cortical circuits to adapt in response to experience is a fundamental property of the brain. After exposure to a moving dot sequence, flashing a dot as a cue at the starting point of ...

This paper proposes an analytic representation of sequence-space Jacobians in heterogeneous agent models with aggregate shocks in continuous time. Our approach is based on a pen-and-paper perturbation ...

The Nature Index 2024 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...

Machine learning has considerably improved in evaluating large language models (LLMs) for their mathematical reasoning abilities, especially in handling complex arithmetic and deductive reasoning ...

The former president is willing to make as many rhetorical and policy shifts as he deems necessary to win in November, vexing some social conservatives. By Jonathan Swan and Maggie Haberman At the age ...

Abstract: Chaotic systems have many excellent properties which make them attractive in designing pseudorandom number generator (PRNG). However due to the degeneration phenomenon, the property of chaos ...

Arithmetic sequences are a fundamental concept in mathematics that allows us to study ordered sets separated by a constant difference. They help us understand linear patterns in various real-world ...

This is a standalone class library, but is also available as part of the full VNet library.

A researcher from Johannes Kepler University has introduced GateLoop, a novel sequence model that leverages the potential of linear recurrence for efficient long-sequence modeling. It generalized ...