Let H be a k-uniform hypergraph, k > 2. By an Euler tour in H we mean an alternating sequence v0, e1, v1, e2, v2, . . . , vm−1, em, vm = v0 of vertices and edges in H such that each edge of H appears in this sequence exactly once and vi−1, vi ∈ ei, vi−1 6= vi, for every i = 1, 2, . . . ,m. This is an obvious generalization of the graph theoretic concept of an Euler tour. A straightforward neces...

• An approach to simulate bubbly flows using particle-center-averaging is formed. A physically motivated wall-contact force model introduced. Particle-center-averaging recovers consistency in the Euler-Euler model. provides mesh independent solutions. Experimental data for pipe (MTLoop) are used validation. The standard based on phase-averaging method and each bubble a function of local gas vol...

In this paper a variant of nonlinear exponential Euler scheme is proposed for solving heat conduction problems. The method based on iterations where at each iteration linear initial-value problem has to be solved. We compare the backward combined with iterations. For both methods we show monotonicity and boundedness solutions give sufficient conditions convergence Numerical tests are presented ...

Euler deconvolution has come into wide use as an aid to interpreting profile or gridded magnetic survey data. It provides automatic estimates of source location and depth. In doing this, it uses a Structural Index (SI) to characterise families of source types. Euler deconvolution can be usefully applied to gravity data. For simple bodies, the gravity SI is one less than the magnetic SI. For mor...

Using the lattice-theoretic version of the Euler characteristic introduced by V. Klee and G.-C. Rota in the Sixties, we define the Euler characteristic of a formula in Gödel logic (over finitely or infinitely many truth-values). We then prove that the information encoded by the Euler characteristic is classical, i.e. coincides with the analogous notion defined over Boolean logic. Building on th...

For a black hole’s spacetime manifold in the Euclidean signature, its metric is positive definite and therefore a Riemannian manifold. It can be regarded as a gravitational instanton and a topological characteristic which is the Euler number is associated. In this paper we derive a formula for the Euler numbers of four-dimensional rotating black holes by the integral of the Euler density on the...

One of the traditional applications of Euler diagrams is as a representation or counterpart of the usual set-theoretical models of given sentences. However, Euler diagrams have recently been investigated as the counterparts of logical formulas, which constitute formal proofs. Euler diagrams are rigorously defined as syntactic objects, and their inference systems, which are equivalent to some sy...

We present a class of instances of the existence of a second object of a specified type, in fact, of an even number of objects of a specified type, which generalizes the existence of an equilibrium for bimatrix games. The proof is an abstract generalization of the Lemke-Howson algorithm for finding an equilibrium of a bimatrix game.

Complete dynamical PDE systems of one-dimensional nonlinear elasticity satisfying the principle of material frame indifference are derived in Eulerian and Lagrangian formulations. These systems are considered within the framework of equivalent nonlocally related PDE systems. Consequently, a direct relation between the Euler and Lagrange systems is obtained. Moreover, other equivalent PDE system...

The phenomena of concentration and cavitation and the formation of δ-shocks and vacuum states in solutions to the Euler equations for isentropic fluids are identified and analyzed as the pressure vanishes. It is shown that, as the pressure vanishes, any two-shock Riemann solution to the Euler equations for isentropic fluids tends to a δ-shock solution to the Euler equations for pressureless flu...