We report data from an internet questionnaire of sixty number trivia. Participants were asked for the number of cups in their house, the number of cities they know and 58 other quantities. We compare the answers of familial sinistrals--individuals who are left-handed themselves or have a left-handed close blood-relative--with those of pure familial dextrals--right-handed individuals who reporte...

In the present paper, an exact analytic solution for the optimal unambiguous state discrimination(OPUSD) problem involving an arbitrary number of pure linearly independent quantum states with real and complex inner product is presented. Using semidefinite programming and Karush-Kuhn-Tucker convex optimization method, we derive an analytical formula which shows the relation between optimal solut...

The exact Wilson loop expression for the pure Yang-Mills U (N) theory on a sphere S 2 of radius R exhibits, in the decompactification limit R → ∞, the expected pure area exponentiation. This behaviour can be understood as due to the sum over all instanton sectors. If only the zero instanton sector is considered, in the decompactification limit one exactly recovers the sum of the perturbative se...

The exact Wilson loop expression for the pure Yang-Mills U (N) theory on a sphere S 2 of radius R exhibits, in the decompactification limit R → ∞, the expected pure area exponentiation. This behaviour can be understood as due to the sum over all instanton sectors. If only the zero instanton sector is considered, in the decompactification limit one exactly recovers the sum of the perturbative se...

The exact Wilson loop expression for the pure Yang-Mills U (N) theory on a sphere S 2 of radius R exhibits, in the decompactification limit R → ∞, the expected pure area exponentiation. This behaviour can be understood as due to the sum over all instanton sectors. If only the zero instanton sector is considered, in the decompactification limit one exactly recovers the sum of the perturbative se...

Modeling of large amplitude of structures such as slender, flexible cantilever beam and fluid-structure resting on nonlinear elastic foundations or subjected to stretching effects often lead to strongly nonlinear models of Duffing equations which are not amendable to exact analytical methods. In this work, explicit analytical solutions to the large amplitude nonlinear oscillation systems of cub...

On 26 September 2014, Johan van Benthem, Professor of Pure and Applied Logic, delivered his valedictory lecture in the auditoriumof theUniversity of Amsterdam. Modern logic is the broad, exact science of information directed behaviour that plays an important role in connecting the humanities, exact sciences and social sciences at the university, and which forms the bedrock of our information so...

We study the entanglement properties of random pure stabilizer states in spin1 2 particles. We obtain a compact and exact expression for the probability distribution of the entanglement values across any bipartite cut. This allows for exact derivations of the average entanglement and the degree of concentration of measure around this average. We also give simple bounds on these quantities. We f...