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Ind-objects in C form a category ind-C.. Two ind-objects : and : determine a functor I op x J Sets,. namely the functor ((), ()). The set of morphisms between F and G in Ind(C) is defined to be the colimit of this functor in the second variable, followed by the limit in the first variable:
For example, if 45 eggs are to be put into 12-egg cartons, then after the first 3 cartons have been filled there are 9 eggs remaining, which only partially fill the 4th carton. The answer to the question "How many cartons are needed to fit 45 eggs?" is 4 cartons, since = + rounds up to 4.
Fourfold-reduced materials, i.e., those with the stoichiometry A 4 C 60, are insulating, even though the t 1u band is only partially filled. [11] This apparent anomaly may be explained by the Jahn–Teller effect, where spontaneous deformations of high-symmetry molecules induce the splitting of degenerate levels to gain the electronic energy.
The boundary element method (BEM) is a numerical computational method of solving linear partial differential equations which have been formulated as integral equations (i.e. in boundary integral form), including fluid mechanics, acoustics, electromagnetics (where the technique is known as method of moments or abbreviated as MoM), [1] fracture mechanics, [2] and contact mechanics.
The problem of determining if a partially filled square can be completed to form a Latin square is NP-complete. [22] The popular Sudoku puzzles are a special case of Latin squares; any solution to a Sudoku puzzle is a Latin square. Sudoku imposes the additional restriction that nine particular 3×3 adjacent subsquares must also contain the ...
T he official state funeral for former President Jimmy Carter will take place on Jan. 9 in Washington, D.C., following days of services and ceremonies to honor the 39th President.. President Joe ...
Hello, paging for Dolly! Country legend Dolly Parton, 78, is on the hunt for actors to play her in a new Broadway show about her life.In a video shared Thursday, Parton announced she and the ...
The complete line is known as a secant, and the section inside the disk as a chord. [ 2 ] More formally, a circular segment is a plane region bounded by a circular arc (of less than π radians by convention) and the circular chord connecting its endpoints.