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If is an integer, the answer is , but the precise – or even asymptotic – amount of unfilled space for an arbitrary non-integer is an open question. [ 1 ] 5 unit squares in a square of side length 2 + 1 / 2 ≈ 2.707 {\displaystyle 2+1/{\sqrt {2}}\approx 2.707}
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.
Graphs of probabilities of getting the best candidate (red circles) from n applications, and k/n (blue crosses) where k is the sample size. The secretary problem demonstrates a scenario involving optimal stopping theory [1] [2] that is studied extensively in the fields of applied probability, statistics, and decision theory.
Artificial intelligence (AI), in its broadest sense, is intelligence exhibited by machines, particularly computer systems.It is a field of research in computer science that develops and studies methods and software that enable machines to perceive their environment and use learning and intelligence to take actions that maximize their chances of achieving defined goals. [1]
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields.
The Alice and Bob characters were created by Ron Rivest, Adi Shamir, and Leonard Adleman in their 1978 paper "A Method for Obtaining Digital Signatures and Public-key Cryptosystems". [2] Subsequently, they have become common archetypes in many scientific and engineering fields, such as quantum cryptography , game theory and physics . [ 3 ]
A print and broadcast journalist for the Nepal FM, Dristi Weekly, and Avenues TV in Bara. Shah was kidnapped October 4 or 5, 2007, by Communist Party of Nepal Maoists from Pipara Bazaar, Kalaiya. His body was discovered in a forest on November 8. [216] Murdered 1 month 2007 Steve Fossett: 63 United States
The following is a list of notable unsolved problems grouped into broad areas of physics. [1]Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or experimental result.