What do Sudoku, AI, Rubik’s cubes, clocks and molecules have in common? They can all be reimagined as algebraic equations.

Recursive algorithms solve problems by repeatedly breaking them down into similar subproblems, while quantum computing exploits the characteristics of qubits and quantum states to achieve ...

As quantum computing hardware advances, the demand for scalable, precise, and fully automated verification techniques for ...

Google's artificial intelligence (AI) research lab DeepMind has unveiled an advanced agent, AlphaEvolve, which can target fundamental and complex mathematics and computing problems. It has the ...

A two-step implicit computational algorithm for solving the problem is proposed, which leads to the need to solve a large number of systems of linear algebraic equations with dense matrices. To solve ...

the method holds practical promise for creating computer programs that can solve equations using the algebraic series rather than radicals. “This is a core computation for much of applied mathematics, ...

This code utilizes the Woodbury identity to solve linear systems of equations on a quantum computer. At present, it currently supports a limited subset of the Woodbury identity. Using the notation ...

Abstract: The Two-Stage General Variable Neighborhood Search Algorithm (TSGVNS) proposed in this paper is a metaheuristic to solve the mixed integer nonlinear programming problem known as the Static ...

Due to its flexible Python interface new physical equations and solution algorithms can be implemented easily. SPHinXsys provides C++ APIs for engineering simulation and optimization. It aims at ...

Mathway can recognize and solve problems entered in various formats, including typed equations, handwritten expressions, and even photos of textbook pages. The app's advanced AI algorithms analyze the ...

Due to funding restrictions, this scholarship is open to applicants eligible to pay tuition fees at the UK rate only, as defined by UKCISA regulations Applicants for PhD must normally hold an ...