More about four biquadrates equal one biquadrate
نویسندگان
چکیده
منابع مشابه
DNA replication: one strand may be more equal.
Living organisms are highly organized adaptive systems. Whereas the maintenance of organization requires conservation, adaptation requires variation. Evolution, the fundamental strategy of Life, is an interplay of genetic variation and phenotypic selection. The wide variety of spontaneous mutation rates among natural isolates of bacteria show that the capacity for producing genetic variation is...
متن کاملSpeeding up the Four Russians Algorithm by About One More Logarithmic Factor
We present a new combinatorial algorithm for Boolean matrix multiplication that runs in O(n(log log n)/ log n) time. This improves the previous combinatorial algorithm by Bansal and Williams [FOCS’09] that runs in O(n(log log n)/ log n) time. Whereas Bansal and Williams’ algorithm uses regularity lemmas for graphs, the new algorithm is simple and uses entirely elementary techniques: table looku...
متن کاملEuler's Three Biquadrate Problem.
1 Kasner, "Conformal Classification of Analytic Arcs or Elements, Poincare's Local Problem of Conformal Geometry," Trans. Am. Math. Soc., 16, 333-349 (1915). The theory of a pair of regular arcs, including the horn angle, is given in "Conformal Geometry," Proceedings Cambridge International Congress Mathematicians, 1912, and a paper appearing in Scripta Mathematica, 1945. 2 Kasner and De Cicco,...
متن کاملMore About Recursive Structures: Descriptive Complexity and Zero-One Laws
This paper continues our work on innnite, recursive structures. We investigate the descriptive complexity of several logics over recursive structures, including rst-order, second-order, and xpoint logic, exhibiting connections between expressibility of a property and its computational complexity. We then address 0{1 laws, proposing a version that applies to recursive structures, and using it to...
متن کاملQuasi-Equal Clock Reduction: More Networks, More Queries
Quasi-equal clock reduction for networks of timed automata replaces equivalence classes of clocks which are equal except for unstable phases, i.e., points in time where these clocks differ on their valuation, by a single representative clock. An existing approach yields significant reductions of the overall verification time but is limited to so-called wellformed networks and local queries, i.e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1973
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1973-0329184-2