Daniel Lokshtanov’s work explores the limits of what computers can solve, paving the way for advances in artificial intelligence and computational efficiency.

Expressions like the following are called polynomials in one variable. 0, -5, 7 etc. are examples of constant polynomials. The constant polynomial 0 is also the zero polynomial. Others like 7x + 9 is ...

A polynomial is a chain of algebraic terms with various values of powers. There are some words and phrases to look out for when you're dealing with polynomials: \(6{x^5} - 3{x^2} + 7\) is a polynomial ...

Certain quantum phases, such as topological order, are notoriously difficult for computers to identify. The challenge grows with the correlation length, a measure of how far the p ...

The amount of time it takes for an algorithm to solve a polynomial function, which is a mathematical expression that does not contain fractions or negative numbers. The time is proportional to the ...

https://doi.org/10.4169/amer.math.monthly.123.4.311 https://www.jstor.org/stable/10.4169/amer.math.monthly.123.4.311 The authors wish to celebrate the centenary of ...

The density matrix renormalization group method has been extensively used to study the ground state of 1D many-body systems since its introduction two decades ago. In spite of its wide use, this ...

The cutting plane approach to finding minimum-cost perfect matchings has been discussed by several authors over past decades. Its convergence has been an open question. We develop a cutting plane ...