A sensor network localization problem can be formulated as a quadratic optimization problem (QOP). For quadratic optimization problems, semidefinite programming (SDP) relaxation by Lasserre with relaxation order 1 for general polynomial optimization problems (POPs) is known to be equivalent to the sparse SDP relaxation by Waki et al. with relaxation order 1, except the size and sparsity of the ...

shikārnāmeh-ye malikshāhī (the malikshāhī book of hunting) which is also known as shikārnāmeh-ye khusrawī, is a book prepared in the 5th ah/11th ad century by malikshāh’s order and niẓām al-mulk’s patronage. the book’s actual redaction is due to abū al-ḥassan niyshābūrī. this book refers to many other books on falconry and hunting (bāznāmeh and shikārnāmeh) especially the translation of the “sh...

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...