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We study the so-called the traveling tournament problem (TTP), to find an optimal tournament schedule. Differently from the original TTP, in which the total travel distance of all the participants is ...
We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, including foundat...
Abstract: Integral balance solution employing entire domain approximation and the penetration dept concept to the Stokes' first problem of a viscoelastic generalized second grade fluid has been develo...
Abstract: Self-adjoint boundary problems for the equation $y^{(4)}-\lambda\rho y=0$ with generalized derivative $\rho\in W_2^{-1}[0,1]$ of self-similar Cantor type function as a weight are considered....
Abstract: In a general spacetime, the possible choices for the field of orthonormal tetrads lead (in standard conditions) to equivalent Dirac equations. However, the Hamiltonian operator is got from r...
Abstract: Donald Saari conjectured that the $N$-body motion with constant configurational measure is a motion with fixed shape. Here, the configurational measure $\mu$ is a scale invariant product of ...
Abstract: We prescribe a new formulation for solving the Helmholtz equation in 2D with irregular boundary. A suitable diffeomorphism is used to annul the asymmetries in the boundary by mapping it into...
Abstract: A new approach for solving the Bethe ansatz (Gaudin-Richardson) equations of the standard pairing problem is established based on the Heine-Stieltjes correspondence. For $k$ pairs of valence...
Abstract: We solve problem 11585 proposed by B. Burdick, AMM June-July 2011 {bf 118} (6), p. 558 for the sum of certain products of Riemann zeta function values. We further point out an alternating su...
Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition.
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation.
Abstract: We show that in the analytic category, given a Riemannian metric $g$ on a hypersurface of a smooth manifold, and a symmetric tensor $W$ on this hypersurface, $g$ can be locally extended to a...
The simplified Lennard-Jones (LJ) potential minimization problem is minimize f(x) = 4 N Xi=1 N X j=1,jre τij = (x3i−2−x3j...
Without assuming necessary conditions for observers such as galaxies or entropy production, we show that the causal patch measure predicts the coincidence of vacuum energy and present matter density...

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