Sentence examples for modern mathematical methods from inspiring English sources

It has been shown that it is possible to solve these problems by interfacing traditional analysis methodologies with more modern mathematical methods (i.e. artificial intelligence) in order to create a hybrid analysis tool.

While modern mathematical methods, such as calculus, can sometimes simplify a sangaku problem that requires pages of calculation, Rothman said that the advantage to the math used in sangaku problems was that it was simple enough for young children to use, which opened the problems up to nearly anyone who wished to try them.

First, modern mathematical methods were to be represented in formal deductive systems.

The book develops and teaches the modern mathematical methods from analytic and algebraic number theory as applied to quantum maps.

The paper of Chaikin, Dozier and Lindsay is concerned with experimental results on suspensions in regimes where modern mathematical methods could be useful.

Therefore, in order to counter concerns raised by the discovery of the logical and set-theoretic paradoxes, a new approach was needed to justify modern mathematical methods.

Modern mathematical optimization methods support the systematic search for a combination of system components and parameters with regards to the defined quality criteria.

The recent dramatic increase in computational power available for mathematical modeling and simulation promotes the significant role of modern numerical methods in the analysis of heterogeneous microstructures.

The result of Cramér's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow.

His books include Methods of Modern Mathematical Physics and Orthogonal Polynomials on the Unit Circle.

Expanding access to the set of mathematical methods used in modern molecular biology so as to incorporate modern algebra, geometry, and other discrete structures, coupled with optimization theory and increasingly sophisticated probabilistic and statistical modeling techniques, follows a parallel trend in modern mathematics.