this study proposed a new discharge estimation method using a mean velocity formula derived from chiu’s 2d velocity formula of probabilistic entropy concept and the river bed shear stress of channel. in particular, we could calculate the mean velocity, which is hardly measurable in flooding natural rivers, in consideration of several factors reflecting basic hydraulic characteristics such as r...

The experimental technique offered by temperature-modulated differential scanning calorimeter (TMDSC) used to investigate the thermal relaxation dynamics through the glass transition as a function of frequency was studied for pure PMMA and PMMA-single wall carbon nanotubes (SWCNTs) composites. A strong dependence of the temperature dependence peak in the imaginary part of complex heat capacity ...

Throughout the ground field is always supposed to be algebraically closed of characteristic zero. Let X be a smooth projective threefold of general type, denote by φm the m-canonical map of X which is nothing but the rational map naturally associated with the complete linear system |mKX |. Since, once given such a 3-fold X , φm is birational whenever m ≫ 0, thus a quite interesting thing is to ...

Let V be a complex nonsingular projective 3-fold of general type. We prove P12(V ) := dimH (V, 12KV ) > 0 and Pm0(V ) > 1 for some positive integer m0 ≤ 24. A direct consequence is the birationality of the pluricanonical map φm for all m ≥ 126. Besides, the canonical volume Vol(V ) has a universal lower bound ν(3) ≥ 1 63·126 .

We introduce an effective way to compute an explicit function h(n) such that the pluricanonical map φm is birational onto its image for all integers m ≥ h(n) and for all nonsingular projective varieties of general type with dimension ≤ n.

Let g = 0,±1 be a fixed integer. Given two sequences of complex numbers (φm) ∞ m=1 and (ψn) ∞ n=1 and two sufficiently large integers M and N , we estimate the exponential sums ∑ p≤M gcd(ag,p)=1 ∑ 1≤n≤N φpψnep (ag ) , a ∈ Z, where the outer summation is taken over all primes p ≤ M with gcd(ag, p) = 1.

We investigate some issues relating to recently proposed fractional superstring theories with Dcritical < 10. Using the factorization approach of Gepner and Qiu, we systematically rederive the partition functions of the K = 4, 8, and 16 theories and examine their spacetime supersymmetry. Generalized GSO projection operators for the K = 4 model are found. Uniqueness of the twist field, φ K/4 K/4...

A  tuberculosis (TB) model with  lost sight  and multiple latent classes  is considered and studied. We derive the basic reproduction ratio $mathcal R_0$. There is always a globally asymptotically stable equilibrium state. Depending on the value of   $mathcal{R}_0$, this state can be either endemic ($mathcal{R}_0> 1$), or infection-free ($mathcal{R}_0leq 1$). The global asymptotic stability of ...

The possible usefulness of the renormalization group (RG) method in Nuclear Physics is pointed out in this talk in the context of the nuclear multifragmentation. The presentation is rather superficial and sketchy, to indicate the main lines only. But I believe that the idea is warrant of further, more careful studies. 1 The Renormalization Group Motto: ”We should rather eliminate a degree of fr...

The application of the latest digital technologies changes the ways of thinking of entrepreneurial behaviour and motivation of decision-making, principles of organization of their functioning, so the purpose of work is to form a model of achieving a balanced balance between economic efficiency and environmental and social responsibility of the digitized enterprise, determining the scientific ba...