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The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
In the ray tracing problem for a 3-dimensional system of reflective or refractive objects, determining if a ray beginning at a given position and direction eventually reaches a certain point. [ 15 ] Determining if a particle path of an ideal fluid on a three dimensional domain eventually reaches a certain region in space.
NP-complete special cases include the edge dominating set problem, i.e., the dominating set problem in line graphs. NP-complete variants include the connected dominating set problem and the maximum leaf spanning tree problem. [3]: ND2 Feedback vertex set [2] [3]: GT7 Feedback arc set [2] [3]: GT8 Graph coloring [2] [3]: GT4
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Like Cangjie, every radical has some auxiliary shapes; but some of the auxiliary shapes of one radical originate from the mnemonic word of the radical. For example, key 6 is mapped to 車(car) in the keyboard, its mnemonic word is "6片車門"(six pieces of car door), and its auxiliary shapes include "片"(piece), "爿"(old character for "wall", its shape is the reflection of "片"), "甫"(its ...
A "prolific and chilling" sex abuser from Northern Ireland has been sentenced to 27 years in prison. David John Andrews, 55, with an address at Maghaberry Prison, pleaded guilty to 130 charges of ...
Two-time Grand Slam champion Simona Halep, working her way back from a drug suspension, and Hall of Famer Lleyton Hewitt's 16-year-old son Cruz were among the players awarded wild-card entries ...
“Those guys are going to both be head coaches, eventually,” Campbell said. “Whether it’s now, whether it’s like, whatever the case may be, it’s good for them to see it.
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