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Appolonius' problem is concerned with the situation where P = Q, meaning that the intersection multiplicity at that point is 2; if P is also equal to a circular point, this should be interpreted as the intersection multiplicity being 3. Let Z D be the variety of circles tangent to D. This variety is a quadric cone in the P 3 of all circles.
The three-body problem is a special case of the n-body problem, which describes how n objects move under one of the physical forces, such as gravity. These problems have a global analytical solution in the form of a convergent power series, as was proven by Karl F. Sundman for n = 3 and by Qiudong Wang for n > 3 (see n-body problem for details
Malfatti's problem is to carve three cylinders from a triangular block of marble, using as much of the marble as possible. In 1803, Gian Francesco Malfatti conjectured that the solution would be obtained by inscribing three mutually tangent circles into the triangle (a problem that had previously been considered by Japanese mathematician Ajima Naonobu); these circles are now known as the ...
The program is solvable in polynomial time if the graph has all undirected or all directed edges. Variants include the rural postman problem. [3]: ND25, ND27 Clique cover problem [2] [3]: GT17 Clique problem [2] [3]: GT19 Complete coloring, a.k.a. achromatic number [3]: GT5 Cycle rank; Degree-constrained spanning tree [3]: ND1
Molyneux's problem is a thought experiment in philosophy [1] concerning immediate recovery from blindness. It was first formulated by William Molyneux , and notably referred to in John Locke 's An Essay Concerning Human Understanding (1689).
Barron Trump is not having trouble fitting in at college.. The 18-year-old son of Donald and Melania Trump has been "popular with the ladies" since starting classes at New York University's Stern ...
The average life expectancy for women is 80.2 years, per the CDC, which means women spend about a third of their life in this post-menopausal phase. So, while women live longer, on average, than ...
In the extrinsic 3-dimensional picture, a great circle is the intersection of the sphere with any plane through the center. In the intrinsic approach, a great circle is a geodesic; a shortest path between any two of its points provided they are close enough. Or, in the (also intrinsic) axiomatic approach analogous to Euclid's axioms of plane ...