The present disclosure provides high purity rebaudioside J and methods of making high purity rebaudioside J. The application also provides the use of rebaudioside J as a sweetener, and in particular, the use in beverages.

The present disclosure provides high purity rebaudioside J and methods of making high purity rebaudioside J. The application also provides the use of rebaudioside J as a sweetener, and in particular, the use in beverages.

We consider 2 neutrons and 2 protons in the g(9/2) shell. Wave functions and energy levels are obtained for various interactions. The wavefunctions for states with total angular momentum I greater than or equal to 10 are not affected by what the pairing interaction (J =3D 0 T =3D 1) is. Other parts of the interaction are therefore of increased importance. Furthermore, states with I greater than or equal to 12 are not affected by the J =3D 2 interaction. (C) 2014 Elsevier Inc. All rights reserved.

We strengthen the existing definition of (J,J)-lossless rational matrices (RMs) and find an algebraic characterization of the newly defined class of strongly (J,J)-lossless RMs. The algebraic characterization is given for possibly improper RMs. A connection is presented to a rational H problem, known as the Leech problem, which is elaborated on with necessary and sufficient conditions, given in terms of the strongly (J,J)-lossless property, as an alternative of the Leech conditions, which can be expressed with positivity of a kernel. An algorithm for solving the Leech problem is given and illustrated by examples.

The spin one Heisenberg model with an easy-plane single-ion anisotropy and spatially anisotropic nearest-neighbor coupling, frustrated by a next-nearest neighbor interaction, is studied at zero temperature using a SU(3) Schwinger boson formalism (sometimes also referred to as flavor wave theory) in a mean field approximation. The local constraint is enforced by introducing a Lagrange multiplier. The enlarged Hilbert space of S =3D 1 spins lead to a nematic phase that is ubiquitous to S =3D 1 spins with single ion anisotropy. The phase diagram shows two magnetically ordered phase, separated by a quantum paramagnetic (nematic) phase. (C) 2017 Elsevier B.V. All rights reserved.