Shape transition and collective excitations in neutron–rich 170-178Yb Nuclei

Energy levels, B(E2) values and potential energy surface for even-even 170-178Yb isotopes have been calculated using the IBM-1. The predicted energy levels, B(E2) values and intrinsic quadrupole moments Q0 results were reasonably consistent with the experimental data. The contour plot of the potential energy surfaces shows all interest nuclei were deformed and have rotational characters

Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals

Left semi-bounded Hadamard type Hypersingular integral (HSI) of the form H(h,x)=1/π1+x/1-x λ-1∗∗1 1-t/1+t h(t)(t-x)2dt,x∈(-1.1), Where h(t) is a smooth function is considered. The automatic quadrature scheme (AQS) is constructed by approximating the density function h(t) by the truncated Chebyshev polynomials of the fourth kind. Numerical results revealed that the proposed AQS is highly accurate when h(t) is choosing to be the polynomial and rational functions. The results are in line with the theoretical findings

ABOUT THE SILICON SENSITIVITY OF THE DEEP LEVEL WITH ALTERNATING PRESSURE

ABSTRACT: This paper discusses the strain sensitivity of silicon with deep levels under variable pressure. It is shown that in the pressure swing in silicon with deep levels, there is a redistribution of the primary spatial inhomogeneities in the distribution of impurities so that the electron-hole relaxation after stress relief will occur in the new potential relief. ABSTRAK: Kajian ini membincangkan tentang sensitiviti kepekaan strain silikon pada pelbagai tahap dalam tekanan. Keputusan menunjukkan terdapat ketidakharmonian agihan pada spasial utama dalam agihan kotoran dengan ayunan tekanan dalam silikon pada tahap dalam, supaya relaksasi lubang-elektron setelah pelepasan tekanan akan berlaku dalam pelepasan potensi baru

Rotational spectra of even–even actinide and rare-earth nuclei

—The new equation derived in the previous paper within the framework of the hydrodynamical model and on the basis that the stretching is quantized is used to produce the energy states in the ground state bands for nuclei in the actinide region and in beta bands for some nuclei selected randomly. The formula showed excellent agreement with experiments. The energy spectra of ground and beta state bands has been calculated of even–even nuclei with mass range 150 < A < 190 and 228 < A < 246 respectively. This success of our approach emphasizes that the only factor that affects the behavior of the nucleus within the mentioned ranges is the stretching

Error estimation of bilinear Galerkin finite element method for 2D thermal problems

This study demonstrates a two-dimensional steady state heat conduction Laplace partial differential equation solution using the bilinear Galerkin finite element method. Heat transfer analysis is of vital importance in many engineering applications and devising computationally inexpensive numerical methods while maintaining accuracy is one of the primary concerns. The method uses structured mesh grid over a two-dimensional rectangular domain and solved using a stiffness matrix for the bilinear elements, calculated using the proposed modified numerical scheme. Several numerical experiments are conducted by controlling the number of nodes and changing element sizes of the presented scheme, and comparison made between analytical solution and software generated solution

Multiset controlled grammars

This study focusses on defining a new variant of regulated grammars called multiset controlled grammars as well as investigating their computational power. In general, a multiset controlled grammar is a grammar equipped with an arithmetic expression over multisets terminals where to every production in the grammar a multiset is assigned, which represents the number of the occurrences of terminals on the right-hand side of the production. Then a derivation in the grammar is said to be successful if only if its multiset value satisfies a certain relational condition. In the study, we have found that control by multisets is powerful tool and yet a simple method in regulation of generative processes in grammars. We have shown that multiset controlled grammars are at least as powerful as additive valence grammars, and they are at most powerful as matrix grammars

Multiset controlled grammars: A normal form and closure properties

Multisets are very powerful and yet simple control mechanisms in regulated rewriting systems. In this paper, we review back the main results on the generative power of multiset controlled grammars introduced in recent research. It was proven that multiset controlled grammars are at least as powerful as additive valence grammars and at most as powerful as matrix grammars. In this paper, we mainly investigate the closure properties of multiset controlled grammars. We show that the family of languages generated by multiset controlled grammars is closed under operations union, concatenation, kleene-star, homomorphism and mirror image

NORMALIZATION OF WAVE FUNCTION OF THE BAND STATES

Low – lying band states are one of the most fundamental excitation modes in the energy spectra of deformed nuclei. Present paper a theoretically analysis the properties of deformed nucley within the phenomenological model (Usmanov 2010). The normalization of the wave functions of low – lying excited band states are calculated