The secret life of 1/n: A journey far beyond the decimal point
... Part 2 is shorter than the first, and also less detailed due to the depth of some of the topics it surveys. In this part, we return to the expansions studied in §1.3 for which the period of 1{n is as long as possible, and we look more closely at the repeating strings of digits they involve. In §2.1, ...
... Part 2 is shorter than the first, and also less detailed due to the depth of some of the topics it surveys. In this part, we return to the expansions studied in §1.3 for which the period of 1{n is as long as possible, and we look more closely at the repeating strings of digits they involve. In §2.1, ...
My Slides - Department of Computer Sciences
... • When problem P has a polynomial time algorithm P is said to belong to the class P of deterministic, polynomial time problems • When problem P has a polynomial time non-deterministic algorithm P is said to belong to the class NP of non-deterministic, polynomial time problems ...
... • When problem P has a polynomial time algorithm P is said to belong to the class P of deterministic, polynomial time problems • When problem P has a polynomial time non-deterministic algorithm P is said to belong to the class NP of non-deterministic, polynomial time problems ...
x - Dr Frost Maths
... Explain why k and k+1 are coprime for any positive integer k. Answer: Suppose k had some factor q. Then k+1 must have a remainder of 1 when divided? by q, so is not divisible by q. The same reasoning underpins Euclid’s proof that there are infinitely many primes. Suppose we have a list of all known ...
... Explain why k and k+1 are coprime for any positive integer k. Answer: Suppose k had some factor q. Then k+1 must have a remainder of 1 when divided? by q, so is not divisible by q. The same reasoning underpins Euclid’s proof that there are infinitely many primes. Suppose we have a list of all known ...
full text (.pdf)
... Propositional Hoare logic (PHL) consists of atomic proposition and program symbols, the usual propositional connectives, while program constructs, and PCAs built from these. Atomic programs are interpreted as binary relations on a set M and atomic propositions are interpreted as subsets of M. The de ...
... Propositional Hoare logic (PHL) consists of atomic proposition and program symbols, the usual propositional connectives, while program constructs, and PCAs built from these. Atomic programs are interpreted as binary relations on a set M and atomic propositions are interpreted as subsets of M. The de ...
Incompleteness in the finite domain
... and bounded arithmetic seem to follow a general pattern. For example, as we noted above, polynomial time computations are associated with the theory S21 by a witnessing theorem. If we take S22 , which we believe is a stronger theory, then the corresponding function class is PNP ,2 which we believe i ...
... and bounded arithmetic seem to follow a general pattern. For example, as we noted above, polynomial time computations are associated with the theory S21 by a witnessing theorem. If we take S22 , which we believe is a stronger theory, then the corresponding function class is PNP ,2 which we believe i ...
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Continuous Markovian Logic – From Complete ∗ Luca Cardelli
... probabilistic behaviours. These pseudometrics can be defined on top of PML, as shown in [6, 20], by extending the satisfiability relation P φ to a function d such that d(P, φ) ∈ [0, 1] measures the "degree of satisfiability" between the process P and the property φ. The function d induces a distan ...
... probabilistic behaviours. These pseudometrics can be defined on top of PML, as shown in [6, 20], by extending the satisfiability relation P φ to a function d such that d(P, φ) ∈ [0, 1] measures the "degree of satisfiability" between the process P and the property φ. The function d induces a distan ...
