# Mathematical

## Meanings and phrases

adj.

- of or pertaining to or of the nature of mathematics
- beyond question
- statistically possible though highly improbable
- characterized by the exactness or precision of mathematics
- relating to or having ability to think in or work with numbers; numerical

n.

- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function); function; single-valued function; map; mapping

n.

- a set that is closed, associative, has an identity element and every element has an inverse; group

n.

- any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity; symbolic logic; formal logic

- It draws heavily on graph theory and mathematical logic.
- In mathematical logic, this is often done in terms of model theory.
- In contemporary mathematical logic, the signature varies by application.

n.

- a notation used by mathematicians

n.

- (mathematics) calculation by mathematical methods; mathematical process; operation

n.

- (mathematics) calculation by mathematical methods; mathematical operation; operation

n.

- a quantity obtained by multiplication; product

n.

- proof of a mathematical theorem

n.

- a relation between mathematical expressions (such as equality or inequality)

n.

- (mathematics) any set of points that satisfy a set of postulates of some kind; topological space

n.

- a statement of a mathematical relation

n.

- a mathematician who specializes in statistics; statistician

n.

- a character that is used to indicates a mathematical relation or operation

E.g.

- These theories are translated into mathematical models.
- Climate models are mathematical models of past, present and future climates.
- The prominent mathematical models of message passing are the Actor model and Pi calculus.

E.g.

- It is a mathematical model of a 1967 Volkswagen Beetle.
- In the mathematical model the chain (or cord, cable, rope, string, etc.)
- A Turing machine is a mathematical model of a general computing machine.

E.g.

- He also studied mathematical physics at Princeton University.
- While at the university he worked on mechanics and mathematical physics.
- In mathematical physics, this law arises as a solution of the BGK equation.

E.g.

- The theorem has applications throughout mathematical analysis.
- He is the author of several textbooks in mathematical analysis.
- Modern mathematical analysis is the study of infinite processes.

E.g.

- A mathematical theory of quantum cohomology.
- The resulting mathematical theory is called computable analysis.
- Crick taught himself the mathematical theory of X-ray crystallography.

E.g.

- He also was a member of the Selection Committee in mathematical sciences Shaw Prize.
- He studied at the university of Cahors and then at the Sorbonne, and was an expert in mathematical sciences.
- Methods of the mathematical sciences are, however, applied in constructing and testing scientific models dealing with observable reality.

E.g.

- The program puts an emphasis on teaching and learning mathematics through mathematical modeling and mathematical inquiry.
- They were all experts in three-dimensional mathematical modeling, but had no access to the most modern and efficient computers.
- Walters uses mathematical modeling to understand how to successfully manage harvestable fisheries in a time of high uncertainty.

E.g.

- Platonism posits that mathematical objects are "abstract" entities.
- The games studied in game theory are well-defined mathematical objects.
- As in a real-world computer, mathematical objects other than bitstrings must be suitably encoded.

E.g.

- It is part of the mathematical field known as group theory.
- Fritsch graph In the mathematical field of graph theory, the Fritsch graph is a planar graph with 9 vertices and 21 edges.
- Kittell graph In the mathematical field of graph theory, the Kittell graph is a planar graph with 23 vertices and 63 edges.

E.g.

- During this period, Wigner developed an interest in mathematical problems.
- The series focuses on aiding students who struggle with mathematical problems.
- In addition, the director approaches editing like "intricate mathematical problems".

E.g.

- This corresponded to the influence on the subject of mathematical methods used in the natural sciences.
- Evidence-based medicine attempts to express clinical benefits of tests and treatments using mathematical methods.

E.g.

- He also studied vibrational theory, the theory of Brownian movement, and mathematical statistics.
- Econometric theory uses statistical theory and mathematical statistics to evaluate and develop econometric methods.

E.g.

- She has also written about "unstraightening" in her mathematical research.
- Weeks has written various computer programs to assist in mathematical research and mathematical visualization.
- The institute also has a yearly Clay Research Award, recognizing major breakthroughs in mathematical research.