We attempt to document complete energetic transactions of stars in their life. We calculate photon and neutrino energies that are produced from stars in their each phase of evolution from 1 to 8M⊙, using the state-of-the-art stellar evolution code, tracing the evolution continuously from pre-main sequence gravitational contraction to white dwarfs. We also catalogue gravitational and thermal ene...

The discovery of ancient whole-genome duplications in eukaryotic lineages has renewed the interest in polyploidy and its effects on the diversification of organisms. Polyploidy has large-scale effects on both genotype and phenotype and has been linked to the evolution of genome size, dioecy, and changes in ecological interactions, such as pollinator visitation. Here, we take a molecular systema...

In this paper, using the concept of measure of noncompactness, which is a very useful and powerful tools in nonlinear functional analysis, metric fixed point theory and integral equations, we introduce a new contraction on a Banach space. For this purpose by using of a measure of noncompactness on a finite product space, we obtain some generalizations of Darbo’s fixed-point theorem. Then, with ...

Memetic algorithms with an appropriate trade-off between the exploration and exploitation can obtain very good results in continuous optimization. In this paper, we present an improved memetic differential evolution algorithm for solving global optimization problems. The proposed approach, called memetic DE (MDE), hybridizes differential evolution (DE) with a local search (LS) operator and peri...

We examined the gravitational contraction of isothermal molecular cloud cores with slow rotation by means of two-dimensional numerical simulations. Applying a sink-cell method, we followed the evolution of the cloud cores up to the stages at which most of the matter accretes onto the central region (i.e., a protostar and a rotationally-supported circumstellar disk). We show that both an infalli...

Arch dams are generally built in cantilvever monoliths. Vertical contraction joints between monoliths control the stresses due to concrete shrinkage and temperature variations. Past studies in earthquake safety evaluation of the system often show the tensile fracture and local nonlinear deformation of joints. In this paper, some nonlinear joint element constitutive models are presented to exami...

We study a cyclic proof system C over regular expression types, inspired by linear logic and non-wellfounded theory. Proofs in can be seen as strongly typed goto programs. show that they denote computable total functions we analyse the relative strength of Gödel’s T. In general case, prove two systems capture same on natural numbers. affine i.e., when contraction is removed, precisely primitive...