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In game theory, the homicidal chauffeur problem is a mathematical pursuit problem which pits a hypothetical runner, who can only move slowly, but is highly maneuverable, against the driver of a motor vehicle, which is much faster but far less maneuverable, who is attempting to run him down. Both runner and driver are assumed to never tire.
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.
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
Mathematicians Are Edging Close to Solving One of the World's 7 Hardest Math Problems. Caroline Delbert. July 9, 2024 at 7:15 AM. ... very sticky problem in number theory. Riemann’s hypothesis ...
The series usually begins with a scenario in which a runaway trolley or train is on course to collide with and kill a number of people (traditionally five) down the track, but a driver or bystander can intervene and divert the vehicle to kill just one person on a different track. Then other variations of the runaway vehicle, and analogous life ...
The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...
(b) the rigorous theory of limiting processes "which lead from the atomistic view to the laws of motion of continua" Unresolved, or partially resolved, depending on how the original statement is interpreted. [14] Items (a) and (b) were two specific problems given by Hilbert in a later explanation. [1]
The rates of late-stage breast cancer at diagnosis have risen among women in all racial and ethnic groups, but Black women have been hit the hardest, according to a new study published in the ...