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The study of the hodograph, as a method of investigating the motion of a body, was introduced by Sir W. R. Hamilton. The hodograph may be defined as the path traced out by the extremity of a vector which continually represents, in direction and magnitude, the velocity of a moving body.
Clayton Hamilton, in A Manual of The Art of Fiction (1918), stated that a proper plot outline is, "A plot, therefore, in its general aspects, may be figured as a complication followed by an explication, a tying followed by an untying, or (to say the same thing in French words which are perhaps more connotative) a nouement followed by a ...
Hamilton's invention of the game came from his studies of symmetry, and from his invention of the icosian calculus, a mathematical system describing the symmetries of the dodecahedron. Hamilton sold his work to a game manufacturing company, and it was marketed both in the UK and Europe, but it was too easy to become commercially successful.
To decide if a graph has a Hamiltonian path, one would have to check each possible path in the input graph G. There are n! different sequences of vertices that might be Hamiltonian paths in a given n-vertex graph (and are, in a complete graph), so a brute force search algorithm that tests all possible sequences would be very slow.
A federal appeals court ruled that the Justice Department can release a report on Donald Trump’s efforts to overturn his 2020 election loss, but kept in place a judge's order requiring a three ...
MORE: US Marshals hunt for man suspected of killing 29-year-old woman, burying body in shallow grave “Due to his Santa-antics, Langlais was transported to a local hospital out of precaution and ...
TikTok will be banned in the United States on Jan. 19, 2025, after a federal appeals court rejected its bid to overturn the ban that President Biden signed in April. The law states that if TikTok ...
The symplectic structure induces a Poisson bracket. The Poisson bracket gives the space of functions on the manifold the structure of a Lie algebra. If F and G are smooth functions on M then the smooth function ω(J(dF), J(dG)) is properly defined; it is called a Poisson bracket of functions F and G and is denoted {F, G}. The Poisson bracket ...