Let E denote an elliptic curve over Q and Y E (7) the modular curve classifying the elliptic curves E over Q such that the representations of Gal(Q/Q) in the 7-torsion points of E and of E are symplectically isomorphic. In case E is given by a Weierstraß equation such that the c 4 invariant is a square, we exhibit here nontrivial points of Y E (7)(Q). From this we deduce an infinite family of c...

High-performance liquid chromatography coupled to ultraviolet photodiode array detection and ion-trap mass spectrometry was used to analyze the intra- and extracellular secondary product metabolome of Medicago truncatula cell suspension cultures responding to yeast elicitor (YE) or methyl jasmonate (MeJA). Data analysis revealed three phases of intracellular response to YE: a transient response...

kortnameh is an epic composed in masnavi format. modeled on ferdowsi’s shahnameh, the work was composed by rabiee pushangi (671-702a.h.) at the behest of fakhruddin-e kort (697-706 a.h.) about the history of kort dynasty. the work has disappeared and little is known about it. tarikhname-ye herat (721 a.h.) is the only source that has preserved a little more than 250 verses of kortnameh, providi...

O, ye who believe! If ye will aid, (the cause of) God, He will aid you, and plant your feet firmly. Verily, with every difficulty there is relief. Therefore, when thou art free (from thine immediate task), still labour hard. And to thy Lord turn (all) thy attention.

Glaciecola sp. strain 4H-3-7+YE-5 was isolated from subseafloor sediments at Suruga Bay in Japan and is capable of efficiently hydrolyzing cellulose and xylan. The complete genome sequence of Glaciecola sp. 4H-3-7+YE-5 revealed several genes encoding putatively novel glycoside hydrolases, offering a high potential for plant biomass degradation.

We study a quantum mechanical model proposed by Sachdev, Ye and Kitaev. The model consists of N Majorana fermions with random interactions of a few fermions at a time. It it tractable in the large N limit, where the classical variable is a bilocal fermion bilinear. The model becomes strongly interacting at low energies where it develops an emergent conformal symmetry. We study two and four poin...