The geometric Langlands correspondence for function fields over finite fields has been proved by Frenkel, Gaitsgory, Vilonen in [FGV]. The aim of this article is to write translation for curves over C and prove the correspondence in some special cases and some new cases, outside the frame of the usual geometric Langlands correspondence. 1 The geometric version of Langlands conjecture We start b...

An informal degrees of freedom argument is used to count the number of phylogenetic invariants in cases where we have three or four species and can assume a Jukes-Cantor model of base substitution with or without a molecular clock. A number of simple cases are treated and in each the number of invariants can be found. Two new classes of invariants are found: non-phylogenetic cubic invariants te...

was a distinct bulging between the sixth and seventh ribs in the posterior axillary line. The liver dulness began at the 4th intercostal space above, its lower border extended one inch below the margin of the ribs. The spleen was much enlarged, its lower border reaching to one inch below the umbilicus. The aspirating needle was inserted into the bulging prominence, and a little thick pus extrac...

Common cases of cycloaddition include concerted (2 + 4) and stepwise (2 + 2) reactions which latter are usually easily recognizable as involving biradicals or dipolar ions. The addition in situ of dichioroketene to 2,4-hexadiene and 2butene is stereospecific, as required by the (2 + 2a) mechanism, but is followed by rapid base-catalysed rearrangement of the resulting 2,2-dichiorocyclobutanones ...

Labour in the jirst stage of Mitral Stenosis: Post-partum Haemorrhage : facial paralysis : sloiu involution. A Bengali Christian, a 4-para, whose last pregnancy had occurred three years earlier, was taken with slight labour pains at 6 a.m., on May 5th, 1901. The pains became stronger at 2 p.m., and the os was dilated three fingers at that time. By 8 p.m., there had been little progress, and she...