Patients Are Completely Unaware

Coinductive Intersection Types are Completely Unsound

Hermitian star products are completely positive deformations

Let M be a Poisson manifold equipped with a Hermitian star product. We show that any positive linear functional on C∞(M) can be deformed into a positive linear functional with respect to the star product.

Quantum Query Algorithms are Completely Bounded Forms

We prove a characterization of t-query quantum algorithms in terms of the unit ball of a space of degree-2t polynomials. Based on this, we obtain a refined notion of approximate polynomial degree that equals the quantum query complexity, answering a question of Aaronson et al. (CCC’16). Our proof is based on a fundamental result of Christensen and Sinclair (J. Funct. Anal., 1987) that generaliz...

Pvm and Mpi Are Completely Diierent

PVM and MPI are often compared. These comparisons usually start with the un-spoken assumption that PVM and MPI represent diierent solutions to the same problem. In this paper we show that, in fact, the two systems often are solving diierent problems. In cases where the problems do match but the solutions chosen by PVM and MPI are diierent, we explain the reasons for the diierences. Usually such...

Completely Integrable Differential Systems Are Essentially Linear

Let ẋ = f(x) be a C autonomous differential system with k ∈ N ∪ {∞, ω} defined in an open subset Ω of R. Assume that the system ẋ = f(x) is C completely integrable, i.e. there exist n−1 functionally independent first integrals of class C with 2 ≤ r ≤ k. If the divergence of system ẋ = f(x) is non–identically zero, then any Jacobian multiplier is functionally independent of the n − 1 first integ...