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  2. Domain of a function - Wikipedia

    en.wikipedia.org/wiki/Domain_of_a_function

    The term domain is also commonly used in a different sense in mathematical analysis: a domain is a non-empty connected open set in a topological space. In particular, in real and complex analysis , a domain is a non-empty connected open subset of the real coordinate space R n {\displaystyle \mathbb {R} ^{n}} or the complex coordinate space C n ...

  3. Domain (mathematical analysis) - Wikipedia

    en.wikipedia.org/wiki/Domain_(mathematical_analysis)

    In complex analysis, a complex domain (or simply domain) is any connected open subset of the complex plane C. For example, the entire complex plane is a domain, as is the open unit disk, the open upper half-plane, and so forth. Often, a complex domain serves as the domain of definition for a holomorphic function.

  4. Fictitious domain method - Wikipedia

    en.wikipedia.org/wiki/Fictitious_domain_method

    In mathematics, the fictitious domain method is a method to find the solution of a partial differential equations on a complicated domain, by substituting a given problem posed on a domain , with a new problem posed on a simple domain containing .

  5. Feasible region - Wikipedia

    en.wikipedia.org/wiki/Feasible_region

    A problem with five linear constraints (in blue, including the non-negativity constraints). In the absence of integer constraints the feasible set is the entire region bounded by blue, but with integer constraints it is the set of red dots. A closed feasible region of a linear programming problem with three variables is a convex polyhedron.

  6. Finite element method - Wikipedia

    en.wikipedia.org/wiki/Finite_element_method

    Step 1: Dividing the domain of the problem into a collection of subdomains, with each subdomain represented by a set of element equations for the original problem. Step 2: Systematically recombining all sets of element equations into a global system of equations for the final calculation.

  7. A College Student Just Solved a Notoriously Impossible Math ...

    www.aol.com/college-student-just-solved...

    A college student just solved a seemingly paradoxical math problem—and the answer came from an incredibly unlikely place.

  8. Function (mathematics) - Wikipedia

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

    The difficulty of determining the domain of definition of a complex function is illustrated by the multiplicative inverse of the Riemann zeta function: the determination of the domain of definition of the function / is more or less equivalent to the proof or disproof of one of the major open problems in mathematics, the Riemann hypothesis.

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