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2. Mathematical problem - Wikipedia

   en.wikipedia.org/wiki/Mathematical_problem

   A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems. It can also be a problem referring to the nature of ...

3. Identity (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Identity_(mathematics)

   In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables within a certain range of validity. [1] In other words, A = B is an identity if A and B define the same functions ...

4. Representation (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Representation_(mathematics)

   Representation (mathematics) In mathematics, a representation is a very general relationship that expresses similarities (or equivalences) between mathematical objects or structures. Roughly speaking, a collection Y of mathematical objects may be said to represent another collection X of objects, provided that the properties and relationships ...

5. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression . These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and an operation with a ...

6. Combinatorial optimization - Wikipedia

   en.wikipedia.org/wiki/Combinatorial_optimization

   A minimum spanning tree of a weighted planar graph.Finding a minimum spanning tree is a common problem involving combinatorial optimization. Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, where the set of feasible solutions is discrete or can be reduced to a discrete set.

7. Ordinary differential equation - Wikipedia

   en.wikipedia.org/wiki/Ordinary_differential_equation

   e. In mathematics, an ordinary differential equation ( ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown (s) consists of one (or more) function (s) and involves the derivatives of those functions. [1] The term "ordinary" is used in contrast with partial differential equations ...

8. Operation (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Operation_(mathematics)

   Definition. An n-ary operation ω from X 1, …, X n to Y is a function ω: X 1 × … × X n → Y. The set X 1 × … × X n is called the domain of the operation, the set Y is called the codomain of the operation, and the fixed non-negative integer n (the number of operands) is called the arity of the operation.

9. Ergodicity - Wikipedia

   en.wikipedia.org/wiki/Ergodicity

   Ergodicity. In mathematics, ergodicity expresses the idea that a point of a moving system, either a dynamical system or a stochastic process, will eventually visit all parts of the space that the system moves in, in a uniform and random sense. This implies that the average behavior of the system can be deduced from the trajectory of a "typical ...