We present efficiently computable homomorphisms of the groups G2 and GT for pairings G1 × G2 → GT . This allows exponentiation in G2 and GT to be accelerated using the Gallant-Lambert-Vanstone method.

We show that the Casimir operators of the semidirect products G2 ⊕2Γ(a,b)⊕Γ(0,0)h of the exceptional Lie algebra G2 and a Heisenberg algebra h can be constructed explicitly from the Casimir operators of G2.

BACKGROUND AND OBJECTIVES Morphine is used frequently to treat oncologic pain. However, tolerance may develop with prolonged use. The association of a NMDA receptor antagonist may reduce or delay the onset of tolerance. S(+) ketamine seems to be more potent and with fewer side effects. The aim of this study was to evaluate the association of S(+) ketamine and morphine in the treatment of oncolo...

A set of 148 molecules having well-established enthalpies of formation at 298 K is presented. This set, referred to as the G2 neutral test set, includes the 55 molecules whose atomization energies were used to test Gaussian-2 ~G2! theory @J. Chem. Phys. 94, 7221 ~1991!# and 93 new molecules. The G2 test set includes 29 radicals, 35 nonhydrogen systems, 22 hydrocarbons, 47 substituted hydrocarbo...

BACKGROUND AND STUDY AIM Per oral endoscopic myotomy (POEM) is a complex technique used in achalasia. Preclinical training is essential but little is known about the number of procedures needed. The aim of this study was to determine the number of procedures required to master POEM in an animal model. PATIENTS AND METHODS This prospective comparative study was conducted in two swine models at...

The membrane glycoproteins G1 and G2 of Uukuniemi virus, a member of the Bunyaviridae family, are cotranslationally cleaved from a common precursor in the endoplasmic reticulum (ER). Here, we show that newly made G1 and G2 associate transiently with calnexin and calreticulin, two lectins involved in glycoprotein folding in the ER. Stable complexes between G1-G2 and calnexin or calreticulin coul...

We construct new topological theories related to sigma models whose target space is a seven-dimensional manifold of G2 holonomy. We define a new type of topological twist and identify the BRST operator and the physical states. Unlike the more familiar six-dimensional case, our topological model is defined in terms of conformal blocks and not in terms of local operators of the original theory. W...

We make several observations relating the Lie algebra g2⊂so(7), associative 3-planes, and so(4) subalgebras. Some are likely well-known but not easy to find in literature, while other results new. show that an element X∈g2 cannot have rank 2, if it has 4 then its kernel is subspace. prove a canonical form theorem for elements of g2. Given 3-plane P R7, we construct subalgebra Θ(P) so(7)=Λ2(R7) ...

BALB/c T cells, which can prevent normal C57BL IgG2a allotype (G2) production of Ig-congenic partner mice (C.B mice), are shown capable of preventing the growth and G2 production of a C.B plasmacytoma (CBPC 101). Such cytotoxic or suppressor T cells are clearly allotype-specific (G2 Tcs cells). And since CBPC 101 B cells do not require specific helper T cells in order to grow, we infer that G2-...

A (finite) sequence of nonnegative integers is graphic if it is the degree sequence of some simple graph G. Given graphs G1 and G2, we consider the smallest integer n such that for every n-term graphic sequence π, there is some graph G with degree sequence π with G1 ⊆ G or with G2 ⊆ G. When the phrase “some graph” in the prior sentence is replaced with “all graphs” the smallest such integer n i...