We give a formula in terms of Young diagrams to calculate the minimum positive integer d such that $$q^d$$ appears quantum product two Schubert classes for submaximal isotropic Grassmannians types B and C. do this by studying curve neighborhoods. compute neighborhoods several combinatorial models including k-strict partitions set where their inclusion is compatible with Bruhat order.

This work investigates the high temperature behavior of six different quartz types A, B, C, D, F and G during heating to elevated temperatures. These contain amounts impurities, from 1% 0.1%, have earlier shown degree disintegration heating. Melting experiments 1750 °C been performed find softening melting temperatures, it is found that there are significant variations between types. A higher c...

Background: Clostridium perfringens is known as the most widely distributed pathogenic microorganism in nature. It is an extremely important pathogen of human and domestic animals. In a commonly used classification scheme, C. perfringens is divided into five toxinotypes (A to E) based on the production of four major toxins (alpha, beta, epsilon, and iota). Enterotoxin is not usually used for C....