For an integer m ≥ 2, let GR = GR(m,m + 2) ⊂ RP , N = m(m + 3)/2, be the Plücker embedding of the Grassmanian of msubspaces in Rm+2 . We consider a central projection of GR into a projective space RP of the same dimension as GR . The topological degree of this projection can be properly defined, although GR may be non-orientable. We find that this degree is 0 for even m , and ±u((m+ 1)/2) for o...

to study the effect of sucrose and calcium chloride on the quality and longevity of cut flower of rose cv. varlon, this experiment was conducted at the faculty of agriculture, zanjan university, zanjan, iran, in 2007. cut flowers were received from mahallat ornamental plants and flowers research station. experimental factors included: sucrose at four levels (0, 40, 80 and 100 mg/l) and calcium ...

The space of all solutions to the string equation of the symmetric unitary one-matrix model is determined. It is shown that the string equation is equivalent to simple conditions on points V 1 and V 2 in the big cell Gr (0) of the Sato Grassmannian Gr. This is a consequence of a well-deened continuum limit in which the string equation has the simple form P; Q ? ] = 1, with P and Q ? 2 2 matrice...

Gustatory receptors (Grs) expressed in insect taste neurons signal the presence of carbohydrates, sugar alcohols, CO2, bitter compounds and oviposition stimulants. The honeybee (Apis mellifera) has one of the smallest Gr gene sets (12 Gr genes) of any insect whose genome has been sequenced. Honeybees live in eusocial colonies with a division of labour and perform age-dependent behavioural tasks...

Stingless bees (Apidae, Meliponini) can recruit nestmates to good food sources. We present the first data showing that recruiting meliponine foragers at feeders and inside nests regulate their thoracic temperature according to net food profitability. Using infrared thermography, we found that Melipona panamica foragers elevated their thoracic temperature at profitable food sources (higher sucro...

Protoplasts purified from pea (Pisum sativum L.) leaves were lysed and fractionated to assess the subcellular distribution of NADPH-dependent hydroxypyruvate reductase (NADPH-HPR) activity. Rate-zonal centrifugation and sucrose-gradient experiments demonstrated that most (about 70%) of the NADPH-HPR activity was located in the supernatant or cytosol fraction. Detectable, but relatively minor ac...