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In 2012, the Nobel Memorial Prize in Economic Sciences was awarded to Lloyd S. Shapley and Alvin E. Roth "for the theory of stable allocations and the practice of market design." [2] An important and large-scale application of stable marriage is in assigning users to servers in a large distributed Internet service. [3]
In solving mathematical equations, particularly linear simultaneous equations, differential equations and integral equations, the terminology homogeneous is often used for equations with some linear operator L on the LHS and 0 on the RHS. In contrast, an equation with a non-zero RHS is called inhomogeneous or non-homogeneous, as exemplified by ...
A smaller literature considers other types of matching, such as one-sided matching (e.g. the stable roommates problem) and many-sided matching (e.g. man-woman-child matching). Within two sided matching, three types of matches are considered: one-to-one, many-to-one, and many-to-many. [3]
In mathematics, economics, and computer science, the Gale–Shapley algorithm (also known as the deferred acceptance algorithm, [1] propose-and-reject algorithm, [2] or Boston Pool algorithm [1]) is an algorithm for finding a solution to the stable matching problem.
The double-entry system has two equal and corresponding sides, known as debit and credit; this is based on the fundamental accounting principle that for every debit, there must be an equal and opposite credit. A transaction in double-entry bookkeeping always affects at least two accounts, always includes at least one debit and one credit, and ...
Betts made 12 of 16 shots for her ninth double-double of the season. She ensured a fast start by scoring three of the Bruins’ first four baskets in a game in which UCLA led by as many as 16 points.
A one-sided version of the filter reduces but does not eliminate spurious predictability and moreover produces series that do not have the properties sought by most potential users of the HP filter. A statistical formalization of the problem typically produces values for the smoothing parameter vastly at odds with common practice, e.g., a value ...
These days, her two adult children get a pass. "It's harder when kids are in college, they don't want to be in the Christmas card so I told them once they were over 20, they don't have to," she ...