Abstract The purpose of this paper is to study the relation between $C^0$-topology and topology induced by spectral norm on group Hamiltonian diffeomorphisms a closed symplectic manifold. Following approach Buhovsky–Humilière–Seyfaddini, we prove $C^0$-continuity for complex projective spaces negative monotone manifolds. case provides an alternative proven Shelukhin. We also partial rational So...

Myelomeningocele (MMC), one of the most common congenital malformations, can result in severe lifelong disabilities, including paraplegia, hydrocephalus, Arnold-Chiari II malformation, incontinence, sexual dysfunction, skeletal deformations, and mental impairment. MMC was the first nonlethal anomaly to be treated by fetal surgery. Studies in animals provide compelling evidence that the primary ...

In this article, we prove that there exists at least one chord which is characteristic of Reeb vector field connecting a given Legendre sub-manifold in a contact manifolds of induced type in the cotangent bundles of any smooth open manifolds which confirms the Arnold conjecture in cotangent bundles.

Crystals form via nucleation followed by growth. Often nucleation data is interpreted using the classical theory of nucleation, which is essentially a simple theory for the nucleation of a fluid phase. I characterise this classical theory as making six assumptions; I discuss each assumption in turn. I then review experiments and simulations that find nucleation behaviour that cannot be describe...

Crystal nucleation and growth processes induced by an externally applied shear strain in a model metallic glass are studied by means of nonequilibrium molecular dynamics simulations, in a range of temperatures. We observe that the nucleation-growth process takes place after a transient, induction regime. The critical cluster size and the lag-time associated with this induction period are determ...

Kinetics of the wurtzite-to-rock-salt transformation in ZnO has been studied in the 5-7 GPa pressure range at temperatures below the activation of diffusion processes. The detailed analysis of non-isothermal experimental data using the general evolution equation describing the kinetics of direct phase transformations in solids allowed us to study the kinetic particularities of both nucleation a...

The nucleation of glycine from aqueous supersaturated solution has been studied using non-photochemical laser-induced nucleation (NPLIN), ultrasound (sonocrystallization), and mechanical shock of sample vials. It was found that at higher supersaturation, samples were more susceptible to nucleation and produced more of the γ-glycine polymorph. The results are described in terms of a mechanism co...

Dubois. D. , Prade. H. 1980. Fuzzy Sets and Systems. Mathematics in Science and Engineering, Academic Press, New York, 144. Jun. Y. B. , Kavikumar. J. 2011. Bipolar Fuzzy Finite State Machines. Bull. Malays. Sci. Soc. 34 no. 1: 181-188. Kandel. A. , Lee. S. C. Fuzzy Switching and Automata Theory Applications. Edward Arnold Publishers Ltd, London. Lee. K. J. 2000. Bipolar-valued fuzzy sets and t...

Introduction Conclusions References Tables Figures ◭ ◮ ◭ ◮ Back Close Full Screen / Esc Abstract Introduction Conclusions References Tables Figures ◭ ◮ ◭ ◮ Back Close Full Screen / Esc Abstract Atmospheric aerosols affect climate and yet the reason for many observed events of new aerosol formation is not understood. One of the theories put forward to explain these events is that the presence of...

We have developed a new multi-step strategy for quantum chemical calculations on atmospherically relevant cluster structures that makes calculation for large clusters affordable with a good accuracy-to-computational effort ratio. We have applied this strategy to evaluate the relevance of ternary ion induced nucleation; we have also performed calculations for neutral ternary nucleation for compa...