You will be given a JSON file as an input. This file will contain a equation in a structured format like this: { "op": "equal", "lhs": { "op": "add", "lhs": 1, "rhs ...

The system can represent nested mathematical expressions that include variables, evaluate their values for specific variable assignments, differentiate them, and simplify the results. I implemented it ...

Abstract: The article describes a tool for simplification and analysis of tangled configurations of mathematical knots. The proposed method addresses optimization issues common in energy based ...

Abstract: Polygonal models currently dominate interactive computer graphics. This is chiefly because of their mathematical simplicity: polygonal models lend themselves to simple, regular rendering ...

ABSTRACT: Stochastic modeling of biochemical reactions taking place at the cellular level has become the subject of intense research in recent years. Molecular interactions in a single cell exhibit ...

New discoveries about another universe whose collapse appears to have given birth to the one we live in today will be announced in the early on-line edition of the journal Nature Physics on 1 July ...

ABSTRACT: Improvements in sanitation and the provision of clean drinking water led to the elimination of typhoid fever from developed countries in the beginning of the 20th century. However, ...