Class of Recursive Wideband Digital Differentiators and Integrators

New designs of recursive digital differentiators are obtained by optimizing a general fourth-order recursive digital filter over different Nyquist bands. In addition, another design of recursive digital differentiator is also obtained by optimizing the specified pole-zero locations of existing recursive digital differentiator of second-order system. Further, new designs of recursive digital integrators are obtained by inverting the transfer functions of designed recursive digital differentiators with suitable modifications. Thereafter, the zero-reflection approach is discussed and then applied to improve the phase responses of designed recursive digital differentiators and integrators. The beauty of finally obtained recursive digital differentiators and integrators is that they have nearly linear phase responses over wideband and also provide the choice of suitable recursive digital differentiator and integrator according to the importance of accuracy, bandwidth and the system simplicity

Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians

We compute the initial ideals, with respect to certain conveniently chosen term orders, of ideals of tangent cones at torus fixed points to Schubert varieties in orthogonal Grassmannians. The initial ideals turn out to be square-free monomial ideals and therefore Stanley-Reisner face rings of simplicial complexes. We describe these complexes. The maximal faces of these complexes encode certain sets of non-intersecting lattice paths.Comment: 36 pages, 3 figures; for version 2: error in definition of "new form" correcte

A critical review of fundamental principles of Ayurveda

The fundamental principle holds a strong ground in Ayurveda. Every medical stream has its own science in which its matter is developed, evolved and explained. From creation of living to issues of health, disease and its treatment these fundamental principles are the root. These can be enumerated as Tridosha, Panchamahabhuta, Prakriti, Ojas, Dhatu, Mala, Agni, Manas, Atma etc. They are most unique and original approach to the material creation and it has all scope to incorporate the modern development in the elemental physics. The aim of Ayurveda is to maintain the proper equilibrium of dosa, dhatus, and mala constituent in order to preserve health in a healthy person and cure a disease in a diseased person.The presence of cognition as well as the absence of cognition is an indication of the mind. In the presence of senses with senses object and soul the man does not perceive a thing in the absence of mind that is to say that senses are unable to grasp the object in the absence of Manas. The term Ojas has been used in Ayurveda for the factor which prevents decay and degeneratioif the body and provides strength and support against a disease. Concept of Agni which incorporates all activities and factors responsible for digestion and metabolism in the living organism as known today, knowledge to these fundamental principles is a key to health and diseases .Maintenances of health depend on good and sound knowledge of these. Detail will be given in full paper. Keywords: Ayurveda, health, dosa, Agni, min

Global transcriptome analysis of heat stress response of grape variety 'Fantasy Seedless' under different irrigation regimens

Grapevine (Vitis vinifera L.), a commercially important fruit crop worldwide, faces several challenging conditions during its growth cycle. Among many abiotic stresses, heat and moisture stresses have major impact on grapevine productivity and fruit quality. Transcriptome analysis of heat stress response of grape variety 'Fantasy Seedless' grown under different irrigation regimens identified large number of differentially expressed genes. Genes belonging to chaperone mediated protein folding and cell-wall modification pathways were found to play a significant role in plant response to heat as well as moisture stress. Subsurface irrigation helped minimize the adverse effects of stress through modulation of genes involved in cell homeostasis. The study has given critical insight into grapevine response to heat stress arising due to aberrant weather conditions

Equivelar and d-Covered Triangulations of Surfaces. I

We survey basic properties and bounds for $q$-equivelar and $d$-covered triangulations of closed surfaces. Included in the survey is a list of the known sources for $q$-equivelar and $d$-covered triangulations. We identify all orientable and non-orientable surfaces $M$ of Euler characteristic $0>\chi(M)\geq -230$ which admit non-neighborly $q$-equivelar triangulations with equality in the upper bound $q\leq\Bigl\lfloor\tfrac{1}{2}(5+\sqrt{49-24\chi (M)})\Bigl\rfloor$. These examples give rise to $d$-covered triangulations with equality in the upper bound $d\leq2\Bigl\lfloor\tfrac{1}{2}(5+\sqrt{49-24\chi (M)})\Bigl\rfloor$. A generalization of Ringel's cyclic $7{\rm mod}12$ series of neighborly orientable triangulations to a two-parameter family of cyclic orientable triangulations $R_{k,n}$, $k\geq 0$, $n\geq 7+12k$, is the main result of this paper. In particular, the two infinite subseries $R_{k,7+12k+1}$ and $R_{k,7+12k+2}$, $k\geq 1$, provide non-neighborly examples with equality for the upper bound for $q$ as well as derived examples with equality for the upper bound for $d$.Comment: 21 pages, 4 figure