We review spherical and inhomogeneous analytic solutions of the field equations Einstein scalar–tensor gravity, including Brans–Dicke theory, non-minimally (possibly conformally) coupled scalar fields, Horndeski, beyond Horndeski/DHOST gravity. The zoo includes both static dynamic solutions, asymptotically flat, Friedmann–Lemaître–Robertson–Walker ones. minimize overlap with existing books revi...

Kappas (bacterial symbionts containing R bodies) have been studied in 16 strains of Paramecium aurelia, syngens 2 and 4. All produce toxins capable of killing sensitive paramecia. The first major class, the 51 group (consisting of the kappas of strains 51, 116, and 298), has R bodies which, when the pH is lowered below 6-5, unwind reversibly from the inside to form a tight tube; the outside end...

We study convolution algebras associated with Heckman–Opdam polynomials. For root systems of type BC we derive three continuous classes of positive convolution algebras (hypergroups) by interpolating the double coset convolution structures of compact Grassmannians U/K with fixed rank over the real, complex or quaternionic numbers. These convolution algebras are linked to explicit positive produ...

Divisibility monoids (resp. Garside monoids) are a natural algebraic generalization of Mazurkiewicz trace monoids (resp. spherical Artin monoids), namely monoids in which the distributivity of the underlying lattices (resp. the existence of common multiples) is kept as an hypothesis, but the relations between the generators are not supposed to necessarily be commutations (resp. be of Coxeter ty...

The isospectrality problem is studied for the operator of the spherical hydromagnetic α−dynamo. It is shown that this operator is formally pseudo-Hermitian (J−symmetric) and lives in a Krein space. Based on the J−symmetry, an operator intertwining Ansatz with first-order differential intertwining operators is tested for its compatibility with the structure of the α−dynamo operator matrix. An in...

1. Statement of the main results. It will be convenient for us to define an n-knot to be a smooth, connected, oriented, n-dimensional (closed) submanifold IP of S (oriented). If X" is homeomorphic to S, then we call it a spherical knot. All manifolds in this note will be oriented and all constructions we consider will induce canonical orientations. This will be understood and not commented upon...

We consider locally finite geometries of rank 3 belonging to certain diagrams where all strokes represent classes of non-trivial designs, at least one of them consisting of symmetric designs other than projective planes. The gonality diagram of such geometry is of spherical type, whereas the diameter diagram is of affine type. In cases like this, the criteria available from 24 cannot tell us an...

The possibility of spherical agglomeration was investigated for two active pharmaceutical ingredients from different classes the Biopharmaceutics Classification System. effects batch crystallization solvent systems on granulometric properties and structures dronedarone hydrochloride ceritinib were investigated. Light stereomicroscopy used to determine size shape agglomerates, while X-ray powder...

We propose a new method of discriminant analysis, called High Dimensional Discriminant Analysis (HHDA). Our approach is based on the assumption that high dimensional data live in different subspaces with low dimensionality. Thus, HDDA reduces the dimension for each class independently and regularizes class conditional covariance matrices in order to adapt the Gaussian framework to high dimensio...