bentea and tu{a}rnu{a}uceanu~(an. c{s}tiinc{t}. univ. al. i.cuza iac{s}, ser. nouv{a}, mat., {bf 54(1)} (2008), 209-220)proposed the following problem: find an explicit formula for thenumber of fuzzy subgroups of a finite hamiltonian group of type$q_8times mathbb{z}_n$ where $q_8$ is the quaternion group oforder $8$ and $n$ is an arbitrary odd integer. in this paper weconsider more general grou...

This paper discusses the disturbance velocity and potential as well as the total velocity formulation for non lifting potential flow problem. The problem is derived based on the Cauchy method formulation. The adding and subtracting back technique is used to desingularize the integral equations. The desingularized boundary integral equations are then discretized. The discretized equations can be...

We present new short proofs for both Stirling’s formula and Stirling’s formula for the Gamma function. Our approach in the …rst case relies upon analysis of Wallis’formula, while the second result follows from the logconvexity property of the Gamma function. The well known formula of Stirling asserts that (1) n! p 2 ne n as n!1; in the sense that the ratio of the two sides tends to 1. This prov...

Bentea and Tu{a}rnu{a}uceanu~(An. c{S}tiinc{t}. Univ. Al. I.Cuza Iac{s}, Ser. Nouv{a}, Mat., {bf 54(1)} (2008), 209-220)proposed the following problem: Find an explicit formula for thenumber of fuzzy subgroups of a finite hamiltonian group of type$Q_8times mathbb{Z}_n$ where $Q_8$ is the quaternion group oforder $8$ and $n$ is an arbitrary odd integer. In this paper weconsider more general grou...

In this paper, we are presented a formula for the polynomial of a graph. Our main result is the following formula: [Sum (d{_u}(k))]=[Sum (a{_kj}{S{_G}^j}(1))], where, u is an element of V(G) and 1<=j<=k.

The quantum query complexity of evaluating any read-once formula with n black-box input bits is Θ( √ n). However, the corresponding problem for read-many formulas (i.e., formulas in which the inputs have fanout) is not well understood. Although the optimal read-once formula evaluation algorithm can be applied to any formula, it can be suboptimal if the inputs have large fanout. We give an algor...

Palm olein, a low-melting fraction of palm oil, and soy oil can be combined to obtain fat blends with proportions of palmitic and oleic acids similar to those of human milk. We compared the absorption of fat and calcium by infants fed a formula containing a blend of palm olein (53%) and soy oil (47%) (Formula POtS) with that by infants fed a formula containing a blend of soy oil (60%) and cocon...