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, and for any ring S such that R ⊂ S ⊆ T, S ⊆ T is a λ-extension. We show that a maximal non λ-subring R of a field has at most two maximal ideals, and exactly two if R is integrally closed in the given field ...
In this paper we derive the non ‐singular boundary integral representation of the field gradients for two‐dimensional problems of classical potential field theory. Numerical implementation ...
will be a non -Lagrangian system. The Stueckelberg fields are assigned to all the consequences included into the involutive closure of the Lagrangian system. The iterative procedure is proposed for constructing ...
Abstract: In this paper we study one-dimensional quantum Ising spin chains in external magnetic field close to an integrable point. We concentrate on the dynamics of the slowest operator, that plays ...
, this copula‐based multivariate fading distribution may yet be so simple in mathematical form that the system's outage probability can be analytically derived in a closed form, free of any infinite‐term ...
Abstract: We prove the non -uniqueness of weak solutions to 3D magnetohydrodynamic (MHD for short) equations. The constructed weak solutions do not conserve the magnetic helicity and can be close ...
It is proved that fermions can acquire the mass through the additional non - integrable exponential factor. For this propose the special vector potential associated with the spinor field was introduced ...
are not created for half integer $p$. Thus for any given momentum we can construct electric fields that create scalar particles but not spinor particles, and vice versa. In the scalar QED case, the solitonic fields ...
of the differential equations (in contrast, the N-body problem is in general non - integrable for N 3). Furthermore, Kepler problem is super- integrable , i.e. any bounded orbit is closed and periodic. Therefore ...
states of matter. Equivalently, our construction provides an exact (3+1)D combinatorial state sum for a path integral of any FSPT that admits a symmetry-preserving gapped boundary, including the (3+1)D ...
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