the topological index of a graph g is a numeric quantity related to g which is invariant underautomorphisms of g. the vertex pi polynomial is defined as piv (g)  euv nu (e)  nv (e).then omega polynomial (g,x) for counting qoc strips in g is defined as (g,x) =cm(g,c)xc with m(g,c) being the number of strips of length c. in this paper, a new infiniteclass of fullerenes is constructed. the ...

OBJECTIVES/HYPOTHESIS The purpose of this study was to determine the usefulness of edible taste strips for measuring human gustatory function. STUDY DESIGN The physical properties of edible taste strips were examined to determine their potential for delivering threshold and suprathreshold amounts of taste stimuli to the oral cavity. Taste strips were then assayed by fluorescence to analyze th...

Humoral Responses of Smooth Muscle from Rabbit Subarachnoid A rtery Compared to Kidney, Mesentery, Lung, Heart, and Skin Vascular Smooth Muscle • Smooth muscle strips from rabbit subarachnoid arteries did not respond to catecholamines in concentrations which caused strips from skin, mesentery, and kidney vessels to contract. The strips from subarachnoid arteries responded to serotonin, histamin...

An expression f = σ+ τ(x− x) is an immediate witness to the positivity condition on f . In general, one wants to characterize polynomials f which are positive, or nonnegative, on a semialgebraic set K ⊆ R in terms of sums of squares and the polynomials used to define K. Representation theorems of this type have a long and illustrious history, going back at least to Hilbert. There has been much ...

AIM To study the effects of indomethacin on the isolated transverse and longitudinal rat gastric fundus strips. METHODS The strips were suspended in an organ bath containing oxygenated Krebs solution, and contractile responses to electrical field stimulation were recorded on a physiograph in an isotonic manner after administration of cumulative concentrations of indomethacin. The effects of i...

In answer to a question of Andrews about finding combinatorial proofs of two identities in Ramanujan’s “lost” notebook, we obtain weighted forms of Euler’s theorem on partitions with odd parts and distinct parts. This work is inspired by the insight of Andrews on the connection between Ramanujan’s identities and Euler’s theorem. Our combinatorial formulations of Ramanujan’s identities rely on t...

In this survey paper we show how character methods can be used to solve a wide range of seemingly unrelated problems. These include commutators, powers of conjugacy classes and related random walks, as well as word maps and Waring type problems. In particular we describe recent progress made on conjectures of Ore, of Thompson, and of Lulov and Pak. New open problems and conjectures are also sta...

Solar energy in Malaysia was first introduced as one of the five fuels in electricity generation through the Fifth Fuel Policy in 2001. However, the current real harnessing of available solar sources is still below its actual potential. This study examined the non-technical barriers towards solar energy implementation in Sabah located on the Borneo Island on eastern part of Malaysia. Following ...

at each point x in M, then M is called a QR-submanifold of r QR-dimension, where ] denotes the complementary orthogonal distribution to ] in TM (cf. [1–3]). Real hypersurfaces, which are typical examples of QR-submanifold with r = 0, have been investigated by many authors (cf. [2–9]) in connection with the shape operator and the induced almost contact 3-structure (for definition, see [10–13]). ...

All three-loop on-shell HQET propagator integrals with a loop of a massive quark can be reduced to a set of master integrals, using integration by parts [1]. Some master integrals are known exactly, for other ones a few terms of ε expansions have been calculated [1]. In particular, for the integral I2, the 1/ε and O(1) terms are known. However, in some applications more terms of its ε expansion...