1. A surface electrode was used to record electromyographic activity of the posterior cricoarytenoid muscle during breathing in normal subjects and patients with airflow obstruction. 2. Phasic activity of the posterior cricoarytenoid muscle was demonstrated. This was present on inspiration and absent on expiration. 3. Phasic inspiratory activity in normal subjects was present only during period...

We study polar molecules in a stack of strongly confined pancake traps. When dipole moments point perpendicular to the planes of the traps and are sufficiently strong, the system is stable against collapse but attractive interaction between molecules in different layers leads to the formation of dipolar chains, analogously to the chaining phenomenon in classical rheological electro- and magneto...

The same complex matrix model calculates both tachyon scattering for the c = 1 non-critical string at the self-dual radius and certain correlation functions of half-BPS operators in N = 4 superYang-Mills. It is dual to another complex matrix model where the couplings of the first model are encoded in the Kontsevich-like variables of the second. The duality between the theories is mirrored by th...

We investigate robust decision-making under utility uncertainty, using the maximin criterion, which optimizes utility for the worst case setting. We show how it is possible to efficiently compute the maximin optimal recommendation in face of utility uncertainty, even in large configuration spaces. We then introduce a new decision criterion, setwise maximin utility (SMMU), for constructing optim...

The categories with noninvertible morphisms are studied analogously to the semisupermanifolds with noninvertible transition functions. The concepts of regular n-cycles, obstruction and the regularization procedure are introduced and investigated. It is shown that the regularization of a category with nonivertible morphisms and obstruction form a 2-category. The generalization of functors, Yang-...

Let x = (x0, . . . , xn−1) be an n-chain, i.e., an n-tuple of non-negative integers < n. Consider the operator s : x 7→ x′ = (x0, . . . , x ′ n−1), where x ′ j represents the number of j’s appearing among the components of x. An n-chain x is said to be perfect if s(x) = x. For example, (2,1,2,0,0) is a perfect 5-chain. Analogously to the theory of perfect, amicable, and sociable numbers, one ca...

The-calculus adds explicit substitutions to the-calculus so as to provide a theoretical framework within which the implementation of functional programming languages can be studied. This paper gen-eralises the-calculus to provide a linear calculus of explicit substitutions , called xDILL, which analogously describes the implementation of linear functional programming languages. Our main observa...

Systems of coupled photonic cavities have been predicted to exhibit quantum phase transitions by analogy with the Hubbard model. To this end, we have studied topologies of few up to six photonic cavities each containing a single two-level system. Quantum phase space diagrams are produced for these systems, and compared to mean-field results. We also consider finite effective temperature, and co...

Abstract. We study colorings of the hyperbolic plane, analogously to the Hadwiger-Nelson problem for the Euclidean plane. The idea is to color points using the minimum number of colors such that no two points at distance exactly d are of the same color. The problem depends on d and, following a strategy of Kloeckner, we show linear upper bounds on the necessary number of colors. In parallel, we...

We investigate robust decision-making under utility uncertainty, using the maximin criterion, which optimizes utility for the worst case setting. We show how it is possible to efficiently compute the maximin optimal recommendation in face of utility uncertainty, even in large configuration spaces. We then introduce a new decision criterion, setwise maximin utility (SMMU), for constructing optim...