Non-compact QED(3) coupled to a four-fermi interaction

We present preliminary numerical results for the three dimensional non-compact QED with a weak four-fermion term in the lattice action. Approaches based on Schwinger-Dyson studies, arguments based on thermodynamic inequalities and numerical simulations lead to estimates of the critical number of fermion flavors (below which chiral symmetry is broken) ranging from $N_{fc}=1$ to $N_{fc}=4$. The weak four-fermion coupling provides the framework for an improved algorithm, which allows us to simulate the chiral limit of massless fermions and expose delicate effects.Comment: 3 pages, Contribution to Lattice2004(chiral), Fermilab, June 21-26, 200

An extremum problem for the power moment of a convex polygon contained in a disc

Abstract In this paper, we investigate an extremum problem for the power moment of a convex polygon contained in a disc. Our result is a generalization of a classical theorem: among all convex n-gons contained in a given disc, the regular n-gon inscribed in the circle (up to rotation) uniquely maximizes the area functional. It also implies that, among all convex n-gons contained in a given disc and containing the center in those interiors, the regular n-gon inscribed in the circle (up to rotation) uniquely maximizes the mean of the length of the chords passing through the center of the disc.</jats:p

Statvta Regni Poloniæ In Ordinem Alphabeti Digesta: / A Ioanne Herbvrto [...]

Dedykacja autora: "Serenissimo ... Domino D. Sigismvndo Avgvsto, Regi Poloniæ ... / Ioannes Herbvrt De Fvlstyn ...".Liczne błędy w paginacji, m.in.: strona 198 oznaczona jako 193, strona 212 jako 112, strona 344 jako 334.Na stronie tytułowej miedziorytowy herb królewski Wazów i data: M DC. XX.Defekt [4] k., S. 1-74 kserokopia.Oryginał po konserwacji.Adres wydawniczy: Prostant Dantisci : apud Balthasarum Andream, & , Francofurti : apud Godefridum Tampachium.Propter Exemplarium inopiam recusa[4] karty, 546 stron, [5, ostatnia czysta] kart, 2°FrankfurtGdańskstarodru

Statuta Regni Poloniae in Ordinem alphabeti digesta

Oprawa skórzana, zniszczona