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In mathematics, specifically group theory, the free product is an operation that takes two groups G and H and constructs a new group G ∗ H. The result contains both G and H as subgroups, is generated by the elements of these subgroups, and is the “universal” group having these properties, in the sense that any two homomorphisms from G and H into a group K factor uniquely through a ...
A planar graph and its minimum spanning tree. Each edge is labeled with its weight, which here is roughly proportional to its length. A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the minimum possible total edge weight. [1]
The matching problem can be generalized by assigning weights to edges in G and asking for a set M that produces a matching of maximum (minimum) total weight: this is the maximum weight matching problem. This problem can be solved by a combinatorial algorithm that uses the unweighted Edmonds's algorithm as a subroutine. [6]
Minimum wage by state by year. In the United States, the minimum wage is set by U.S. labor law and a range of state and local laws. [4] The first federal minimum wage was instituted in the National Industrial Recovery Act of 1933, signed into law by President Franklin D. Roosevelt, but later found to be unconstitutional. [5]
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A cozy cardigan is a thing of beauty — no wonder Taylor Swift wrote a song about it! — but finding the perfect thickness, length and color for when temps start to cool is easier said than done.
Hierarchical model–view–controller (HMVC) is a software architectural pattern, a variation of model–view–controller (MVC) similar to presentation–abstraction–control (PAC), that was published in 2000 in an article [1] in JavaWorld Magazine. The authors were apparently unaware of PAC, which was published 13 years earlier.
The United Nations uses a combination of ISO 3166-1 alpha-2 and alpha-3 codes, along with codes that pre-date the creation of ISO 3166, for international vehicle registration codes, which are codes used to identify the issuing country of a vehicle registration plate; some of these codes are currently indeterminately reserved in ISO 3166-1.