On the solutions of the Schrodinger equation with some molecular potentials: wave function ansatz

Making an ansatz to the wave function, the exact solutions of the $D$% -dimensional radial Schrodinger equation with some molecular potentials like pseudoharmonic and modified Kratzer potentials are obtained. The restriction on the parameters of the given potential, $\delta$ and $\eta$ are also given, where $\eta$ depends on a linear combination of the angular momentum quantum number $\ell$ and the spatial dimensions $D$ and $\delta$ is a parameter in the ansatz to the wave function. On inserting D=3, we find that the bound state eigensolutions recover their standard analytical forms in literature.Comment: 14 page

Smarandache's function applied to perfect numbers

Smarandache's function may be defined as follows: S(n) = the smallest positive integer such that S(n)! is divisible by n. In this article we are going to see that the value this function takes when n is a perfect number

Maxwellian theory of gravitational waves and their mechanical properties

We present a theory in Maxwellian form for gravitational waves in a flat background. This requires us to identify the gravitational analogues of the electric and magnetic fields for light. An important novelty, however, is that our analogues are not vector fields but rather rank-two tensor fields; in place of a three-component vector at each point in space, as in electromagnetism, our fields are three by three symmetric matrices at each point. The resulting Maxwell-like equations lead directly to a Poynting theorem for the local energy density associated with a gravitational wave and to associated local properties including densities of momentum and angular momentum

Length-weight relationship and organ indices of pond raised and wild population of C. gariepinus (Burchell 1822) pisces-Claridae

Samples of C. gariepinus collected from the wild and cultured populations in Plateau and Niger States of Nigeria were analyzed for length-weight relationship and organ indices (Gonadosomatic index (GSI), hepatosomatic index (HSI), renalsomatic index (RSI) and somatic fat deposit index (PDI). High correlation and linear relationship between body length and body weight was observed in all sample population (P<0.05). A significant difference was observed between the GSI of males and females of both wild and cultured population and also between females of the wild and cultured population,(P < 0.05).There was no significant difference in HSI, CSI RSI and PDI of all the sample populations (P < 0.05).The importance of length-weight relationship and organ indices in fish production are discusse

Burning issues: reactions to the Highland Press during the 1885 election campaign

This paper considers the ‘protest’ burning of newspapers in the Highlands in the months immediately preceding the election of November-December 1885. Newspapers took a central role in the Highland Land Agitation, no matter where their political loyalties lay, and the strength of feeling which they awoke among Highlanders is evident in the public burnings of newspapers, particularly those which were perceived to be supporters of the landlords. This paper considers the role which the Highland press played in electioneering as it catered for an expanding and increasingly politicised readership. The dualities of the newspapers, both as purveyors of news, but also featuring in the news, are examined as is the use of Gaelic for electioneering purposes and finally the various reports of newspaper burnings

The forgotten first: John MacCormick's 'Dùn-Àluinn'

The first Gaelic novel, John MacCormick's Dùn-Àluinn, no an t-Oighre 'na Dhìobarach, was serialised in the People's Journal in 1910 before being published in its entirety in 1912. Within a year of the publication of Dùn-Àluinn as a novel the second Gaelic novel, Angus Robertson's An t-Ogha Mòr, appeared in print, underlining the renaissance which Gaelic literature was experiencing. Both novels, while remarked upon by contemporaries and by general studies of Gaelic literature, have been all but ignored to date, with no criticism or analysis of either having been published. The main aim of this article is to offer some general comments about MacCormick's Dùn-Àluinn and thus to open up both the novel and indeed other early twentieth-century Gaelic writers and their work to further scrutiny. Consideration will be given to the author himself, the contemporary Gaelic literary scene and finally some of the more interesting aspects of the novel itself

On exact solution of a classical 3D integrable model

We investigate some classical evolution model in the discrete 2+1 space-time. A map, giving an one-step time evolution, may be derived as the compatibility condition for some systems of linear equations for a set of auxiliary linear variables. Dynamical variables for the evolution model are the coefficients of these systems of linear equations. Determinant of any system of linear equations is a polynomial of two numerical quasimomenta of the auxiliary linear variables. For one, this determinant is the generating functions of all integrals of motion for the evolution, and on the other hand it defines a high genus algebraic curve. The dependence of the dynamical variables on the space-time point (exact solution) may be expressed in terms of theta functions on the jacobian of this curve. This is the main result of our paper

Learning and adaptation in physical agents

Learning and adaptation is fundamental for autonomous agents that operate in a physical world and not a computer network. The paper is providing a general framework of skills learning within behaviour logic framework of agents that communicate, sense and act in the physical world. It is advocated that playfulness can be important in learning and to improving skills of agents