Combinatorics

Example:We used combinatorial methods to solve the puzzle.

Definition:Relating to or involving combinations, especially in the context of combinatorics.

Example:They approached the problem combinatorially, considering all possible configurations.

Definition:In a combinatorial manner, or concerning the arrangements of elements in combinations or permutations.

Example:The combinatorics of poker involves calculating the number of possible hands a player can get.

Definition:A specific application or focus within combinatorics, dealing with particular aspects or problems.

Example:They used a combinatorial design to ensure all participants were included in the study.

Definition:A collection of elements that satisfy certain specified properties, often used in combinatorics.

Example:She spent her career in combinatorial mathematics, researching graph theory and network analysis.

Definition:The study and application of combinatorial principles in mathematics.

Example:We used combinatorial probability to estimate the likelihood of favorable outcomes in the experiment.

Definition:A type of probability theory that deals with discrete events or outcomes.

Example:They applied combinatorial optimization techniques to reduce the energy consumption of the system.

Definition:A method of finding the best solution from all feasible solutions to a problem, using combinatorial techniques.

Example:The principles of combinatorial game theory can be applied to understand more complex strategic games.

Definition:The study of sequential games with discrete moves, using combinatorial mathematical tools.