Let $S$ be a standard graded polynomial ring over field, and $I$ homogeneous ideal that contains regular sequence of degrees $d_1,\ldots,d_n$. We prove the Eisenbud-Green-Harris conjecture when forms satisfy $d_i \geqslant \sum_{j=1}^{i-1}(d_j-1)$, improving result obtained in 2008 by first author Maclagan. Except for sporadic case five quadrics, recently proved Gunturkun Hochster, results this...

Currently, simulation is usually used to estimate network degree distribution P(k) and to examine if a network model predicts a scale-free network when an analytical formula does not exist. An alternative Markovian chain-based numerical method was proposed by Shi [Phys. Rev. E 71, 036140 (2005)] to compute time-dependent degree distribution P(k,t) . Although the numerical results demonstrate a ...

in order to investigate of quality and quantity yield and growing degree day (gdd) of plantago ovata and p. psyllium related to water stress and density, two experiments were conducted at the agriculture research field, tehran university, karaj, in april 2005 and 2006. the experiments were designed in factorial experiments based in randomized completely block (rcb) with three replication in whi...

estimating snow melt water equivalent is one of the most important challenges in determining the hydrological regime in mountainous basins. there are some problematic obstacles in field observations, due to inaccessibility as well due to difficulties in snow sampling at snow covered peaks making researchers try to find indirect approaches. one of these methods in use is degree- day model that i...