Is the lonely runner conjecture true for every number of runners? (more unsolved problems in mathematics) In number theory, specifically the study of Diophantine approximation, the lonely runner conjecture is a conjecture about the long-term behavior of runners on a circular track. It states that runners on a track of unit length, with constant speeds all distinct from one another, will each be lo
Wi-Fi over Coax is a technology for extending and distributing Wi-Fi signals via coaxial cables. As an in-building wireless solution, Wi-Fi over Coax can make use of existing or new cabling with native impedance of 50 Ω shared by a Wi-Fi access point, cabling run, and antenna. Coaxial cables with characteristic impedance of 75 Ω, such as RG-6 cables used for in-building television distribution, ca
Daniel "Dan" William Dobberpuhl (March 25, 1945 – October 26, 2019[1]) was an electrical engineer in the United States who led several teams of microprocessor designers. Background[edit] Dobberpuhl was born in Streator, Illinois on March 25, 1945. He graduated with a Bachelor of Science degree in electrical engineering from the University of Illinois at Urbana–Champaign in 1967. He worked as an en
A sequence of six consecutive nines occurs in the decimal representation of the number pi (π), starting at the 762nd decimal place.[1][2] It has become famous because of the mathematical coincidence, and because of the idea that one could memorize the digits of π up to that point, and then suggest that π is rational. The earliest known mention of this idea occurs in Douglas Hofstadter's 1985 book
Customers standing and reading manga in a Japanese bookstore The Mariko Aoki phenomenon (青木まりこ現象, Aoki Mariko genshō) is a Japanese expression referring to a sudden urge to defecate that is felt upon entering bookstores. The phenomenon is named after Mariko Aoki, a woman who described the effect in a magazine article published in 1985. According to Japanese social psychologist Shōzō Shibuya, the s
Poka-yoke (ポカヨケ, [poka joke]) is a Japanese term that means "mistake-proofing" or "error prevention". It is also sometimes referred to as a forcing function or a behavior-shaping constraint. A poka-yoke is any mechanism in a process that helps an equipment operator avoid (yokeru) mistakes (poka) and defects by preventing, correcting, or drawing attention to human errors as they occur.[1] The conce
Conway's law describes the link between communication structure of organizations and the systems they design. It is named after the computer programmer Melvin Conway, who introduced the idea in 1967.[1] His original wording was:[2][3] [O]rganizations which design systems (in the broad sense used here) are constrained to produce designs which are copies of the communication structures of these orga
The Vitruvian Man (Italian: L'uomo vitruviano; [ˈlwɔːmo vitruˈvjaːno]) is a drawing by the Italian Renaissance artist and scientist Leonardo da Vinci, dated to c. 1490. Inspired by the writings of the ancient Roman architect Vitruvius, the drawing depicts a nude man in two superimposed positions with his arms and legs apart and inscribed in both a circle and square. It was described by the art his
Chronoperates (meaning "time wanderer" in Greek) is an extinct genus of mammal whose remains have been found in a late Paleocene deposit in Alberta, Canada. It is represented by the type species Chronoperates paradoxus and known only from a partial left lower jaw.[1] It was first identified in 1992 as a non-mammalian cynodont, implying a ghost lineage of over 100 million years since the previously
and let the cost function be Now, the worst (and only) Nash Equilibrium would be when both players defect and the resulting cost is . However, the highest social welfare occurs when both cooperate, in which case the cost is . Thus the PoA of this game will be . Since the game has a unique Nash equilibrium, the PoS is equal to the PoA and it is 5 too. Job scheduling[edit] A more natural example is
DNA origami object from viral DNA visualized by electron tomography.[1] The map is at the top and atomic model of the DNA colored below. (Deposited in EMDB EMD-2210) DNA origami is the nanoscale folding of DNA to create arbitrary two- and three-dimensional shapes at the nanoscale. The specificity of the interactions between complementary base pairs make DNA a useful construction material, through
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