We apply the modern technique of approximation of multivariate functions tensor train cross approximation to the problem of the description of physical interactions between complex-shaped bodies in a context of computational nanomechanics. In this note we showcase one particular example van der Waals interactions between two cylindrical bodies relevant to modeling of carbon nanotube systems. Th...

Takaharu Tanaka Department of Mechanical Engineering Kobe University Nada, Kobe

is paper presents and discusses a range of counterexamples to the common view that quanti ers cannot take scope over epistemic modals. Some of the counterexamples raise problems for ‘force modi er’ theories of epistemic modals. Some of the counterexamples raise problems for Robert Stalnaker’s theory of counterfactuals, according towhich a special kind of epistemicmodalmust be able to scope ove...

A new balanced-force algorithm is presented for modeling interfacial flow with surface tension. The algorithm is characterized by a pressure-correctionmethodwith the interfaces represented by volume fractions.Within this flow algorithm, we devise a continuous (e.g., continuum surface tensionmodel) and a sharp (e.g., a ghost fluidmethod) interface representation of the surface-tension-induced in...

Let Γ be a cyclic subgroup of PSL2(C) generated by a loxodromic element. The Ford and Dirichlet fundamental domains for the action of Γ on HR are the complements of configurations of half-balls centered on the plane at infinity ∂HR. Jørgensen (On cyclic groups of Möbius transformations, Math. Scand. 33 (1973), 250–260) proved that the boundary of the intersection of the Ford fundamental domain ...

Deligne and Mostow constructed a class of lattices in PU(2, 1) using monodromy of hypergeometric functions. Thurston reinterpreted them in terms of cone metrics on the sphere. In this spirit we construct a fundamental domain for the lattices with three fold symmetry in the list of Deligne and Mostow. This is a generalisation of the works of Boadi and Parker and gives a different interpretation ...

This dissertation is a review for the Born-Infeld action. An introduction of bosonic string theory and the object D-brane are given with its light-cone quantization procedure. We then explain the method of obtaining effective action. The derivation for the Born-Infeld action as an effective theory is presented. Later we discuss the properties, supersymmetric extensions, and applications of the ...

Strengthening institutions in spot and derivative markets for commodities is a necessary ingredient of the liberalisation process in agriculture, and can impact upon the lives of millions. In this paper, we describe the existing market design prevalent on both the spot and the futures markets. We show some evidence on the role played by the nascent futures markets in price discovery. We documen...

We review the notion of a gauge natural theory and we show in particular its role in implementing the very basic principles of any reasonable fundamental physical interaction. Conservation laws are investigated in this general framework by means of a skilful application of Nöther theorem together with the theory of superpotentials. Wess–Zumino model interacting with a gravitational fields is co...

Human action recognition from videos draws tremendous interest in the past many years. In this work, we first find that the trifocal tensor resides in a twelve dimensional subspace of the original space if the first two views are already matched and the fundamental matrix between them is known, which we refer to as subtensor. Then we use the subtensor to perform the task of action recognition u...