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On the vanishing cohomology theory of some operator algebras
Full text linkWe concerned with the vanishing of the dihedral and reflexive cohomology groups of stable -algebra. Wodzicki has proved that the cyclic cohomology of stable -algebra is vanished. We extend this fact to prove that the reflexive and dihedral cohomology of this class are also vanish
Cohomology Groups, Currents and Dx -Schemes on ∂ -Cohomology
Full text linkWe consider some cohomology groups lemmas as given by Poincaré and Dolbeault-Grothendieck, to establish the De Rham and Dolbeault theorems through currents, and after to be applied to define currents on Dolbeault cohomology. One advantage of this application of currents is the commutation between differential operator and current, which will be demonstrated to a complex holomorphic manifold whose co-cycles under a current are complex domains conformed by holomorphic hyperplanes. In the paper are explained wifely these versions and are applied some Dx -schemes to study of complex holomorphic manifolds and its tomography in cycles of co-dimensions 1, and n - q
A Study On Generalized Mersenne Numbers
Full text linkIn this paper, we introduce the generalized Mersenne sequence and we deal with, in detail, two special cases, namely, Mersenne and Mersenne-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences
Unification of Physics, premises and basic results
Full text linkIt is shown that the measured constancy of c depends on two reasons: the first is the equality c , with u √ the total escape speed (from all the masses in the universe) and U the total gravitational potential, practi-cally constant on Earth; besides, as the said equality implies the massiveness of the light, we may guess its structure as composed of photons having parameters (their length) and frequency (their number, of the same ray, flowing in a time unit). The 2nd reason is due to the interaction light-matter: during the measurement of c, being S a source of light, maybe having a relative velocity from the measurement system R, each incident photon, parameter , , referred to S, is absorbed by an impacting electron (belonging to R) which take on, see Fig. 5, a radial velocity w; thus, due to Doppler effect, the incident frequency, referred to this electron, varies depending on w and and in particular, as w has same direction as the incident photons, see Fig. 5, for it is Then, after the absorption/emission time, the photons re-emitted by the electron (acting as a new source) have (like on Compton ef-fect) different parameters, and see Fig. 2A: in fact, equating the variation of energy of the in-cident/reflected photons to the one of the impacted electrons, see § 1.4, we found ( ) whichever are the values w and So, the measured c turns out to be constant, without the Relativity Theory (RT) support.In the 2nd part, we have considered the electron charge as a point particle (impact point) fixed on the electron sur-face, facing the atom nucleus during the electron orbits, see Fig. 5. On these bases, all the impacts photons-electron move the electron toward higher orbits, and we found that, on H atom, the number of the electron circular orbits is n = 137 (instead of the infinite ones as deemed) while the electron ground-state orbital speed is exactly = c/137; moreover, we found that the quantum numbers are related to the number of admitted photons along each electron cir-cular orbit. As for the claimed fall of circling electrons into their nucleus due to their supposed emission of photons, the electrons are emitting the previously absorbed photons only during the spiral path from higher orbits toward their ground-state, as shown on § 2.4.1. Finally, a specific experiment would show that the compensation velocity (to re-store the resonance source-detector at different height) has opposite direction with respect to the one predicted by RT
Applications of Probabilistic Methods on Some Stirling Sequences
Full text linkIn this paper, we investigate some combinatorial sequences based on the generalized Stirling numbers and the λ-analogues of r-Stirling numbers of the first kind, then derive their moment representations in use of probabilistic methods. We also provide identities related to r-Stirling numbers of the first kind, Stirling numbers and Daehee numbers
An Empirical Study of the Telecommunication and Economic Growth in Nigeria
Full text linkThis study examines the impact of telecommunication on economic growth in Nigeria. The study’s model is based on Solow’s augmented growth theory where labor, capital and technology are the sole determinants of economic growth. Thus, economic growth is estimated through classical least squares and fully modified ordinary least squares techniques co integration and error correction model. The finding shows that labor employed, capital stock, real investment in telecommunication and electricity supply are statistically significant to economic growth in the short run equilibrium in Nigeria. Therefore, positive economic growth is attainable when efficient and well-coordinated policies are implemented on labor productivity, price management, investment promotion and constant electricity supply. The study used GDP as a proxy of economic growth. Secondary data from NBS, CBN and NCC which were corroborated with data from ITU, WTO and World Bank Development Indicators were used for the analysis. Based on established theories, existing empirical studies and available data, six independent variables (Telecommunications revenue, telecommunications Investments, Teledensity, Agriculture, Unemployment and Electricity consumption) were regressed on the dependent variable (GDP) using Multiple Regression Analysis. The study includes labor employed, capital stock, real investment in telecommunication and electricity supply to be the repressors and real economic growth to be the regress and using a time series data from 1999 – 2018
The Effect of Hr Practices on Psychological Empowerment in Forming Performance Based on Learning and Growth Perspectives
Full text linkOver the years, the field of Strategic Human Resource Management has attracted a lot of attention from academics and researchers, especially in relation to employee perceptions of Human Resources (HR) practices. HR Practices (HR Practices) is a process of attracting, motivating, and retaining employees to ensure the survival of the organization. Several aspects in HR practices encourage employees to work better to improve organizational performance. Organizational performance is not an easy matter. Organizational performance is an indicator that can show the level of achievement that the company has achieved and can also be used to reflect the success of the manager / entrepreneur. This is because performance is the result achieved, which comes from the behaviour of company members. The study was conducted on 64 respondents to determine the effect of HR practices on company performance. Linear regression was used as a method of analysis. The independent variable regression coefficient (Beta) is used to determine the direction of the relationship between the independent and dependent variables. The level of acceptance of the hypothesis is determined by t-sig; t-sig <0.05 indicates the significance level of the relationship at the 95% confidence level. Research result showed that Training have no significant effect on either Job Competence, Job Autonomy, or Job Impact, however Training have negative effect on Job Autonomy; Reward have no significant effect on both Job Competence and Job Autonomy, however Reward have negative effect on Job Competence, but have significant effect on Job Impact; Management Style have significant effect on all Job Competence, Job Autonomy, and Job Impact; Job Competence and Job Autonomy have no significant effect on Organization Performance based on Learning and Growth, but Job Impact does
Analytical computation of Bose-Einstein integral functions
Full text linkThe study of Bose-Einstein integral functions is important in the fact that such functions arise in various numerical calculations of different domains of physics. The significance of gamma function and Riemann zeta function in solving such integrals has been studied and functional equations are evaluated thereby enabling the integrals of all orders to be calculated
The remarks on the four colors problem
Full text linkIn this note we are proving the four conjecture for planar graphs. The proof follows the Euler Indentity for planar graphs
An extended distribution of Non-Native Tree species Muntingia calabura L. in Rajshahi, Bangladesh
Full text linkMuntingia calabura is a fast growing evergreen tree and is indigenous to southern Mexico, Central America, tropical South America, the Greater Antilles, St. Vincent and Trinidad. It is now widespread and naturalized in Southeast Asia, Australia, and in islands of the Pacific Ocean due to its ability to disperse by bats and birds. In Bangladesh it is being cultivated in homesteads in some places especially in urban area as a sweet minor edible fruits. During this exploration, three plants of Muntingia calabura found in Rajshahi city. It is reported here as an addition to the Flora of Rajshahi district. This paper also envisages plant description, photographs and Figure of herbarium sheet are provided to facilitate easy identification