Eight African marigold varieties (`Nari `(orange), `Bindi`(orange), `Bali` (orange), `Little Duck `(orange), `Bali` (yellow), `Bali` (gold), `Little Duck` (yellow) and `Eagle` (yellow) were comparatively studies for growth habit and flowering quality in open field condition at Training Centre for Floriculture and Landscaping, Directorate of Floriculture, Lahore during 2018-2019. Among the varie...

Let V be a vertex operator algebra satisfying certain reductivity and finiteness conditions such that CV , the category of V -modules, is a modular tensor category. We study open-closed field algebras over V equipped with nondegenerate invariant bilinear forms for both open and closed sectors. We show that they give algebras over certain C-extension of the so-called Swiss-cheese partial diopera...

Both in string field theory and in p-adic string theory the equations of motion involve infinite number of time derivatives. We argue that the initial value problem is qualitatively different from that obtained in the limit of many time derivatives in that the space of initial conditions becomes strongly constrained. We calculate the energy-momentum tensor and study in detail time dependent sol...

Several inverse spectral problems are solved by a method which is based on exact solutions of the semi-infinite Toda lattice. In fact, starting with a well-known and appropriate probability measure μ, the solution αn(t), bn(t) of the Toda lattice is exactly determined and by taking t = 0, the solution αn(0), bn(0) of the inverse spectral problem is obtained. The solutions of the Toda lattice wh...

Both in string field theory and in p-adic string theory the equations of motion involve infinite number of time derivatives. We argue that the initial value problem is qualitatively different from that obtained in the limit of many time derivatives in that the space of initial conditions becomes strongly constrained. We calculate the energy-momentum tensor and study in detail time dependent sol...

The pole field solver developed recently by the authors (J. Comp. Phys., 230 (2011), 5957–5973) is used to survey the space of solutions of the second Painlevé equation that are real on the real axis. This includes well-known solutions such as the Hastings-McLeod and Ablowitz-Segur type of solutions, as well as some novel solutions. The speed and robustness of this pole field solver enable the ...