In this note we introduce the new concepts like semipre-neighbourhoods(i.e.sp-nbds),semipreinterior (i.e.,sp-interior)point, semipre-limit point(i.e.,sp-limit point), semi prederived (sp-derived)set and semiprefrontier (sp-frontier)of a set using the conecept of semipreopen sets and obtain their...

In this article we estimate default intensities within the continuous time Jarrow/Turnbull (1995) model from daily observations of German bank bond prices, based on the default-free term structure estimated from the Svensson (1994) model provided by the Deutsche Bundesbank. Cross-sectional and...

A subset of a topological space (X, ) is called preopen if ⊂ . The complement of a preopen set is called preclosed set. In the literature preopen sets have been utilized to characterize separation axioms, covering properties and functions. The aim of this paper is to introduce and study class...

We give a detailed extended abstract reflecting what we know about Boolean relation theory. We follow this by a proof sketch of the main instances of Boolean relation theory, from Mahlo cardinals of finite order, starting at section 19. The proof sketch has been used in lectures

Two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated. Generalized Continuum Hypothesis is derived from the first axiom, and the infinitesimal is visualized using the latter

This is an introduction to the most primitive form of the new Boolean relation theory, where we work with only one function and one set. We give eight complete classifications. The thin set theorem (along with a slight variant), and the complementation theorem are the only substantial cases that...

Random context grammars belong to the class of context-free grammars with regulated rewriting. Their productions depend on context that may be randomly distributed in a sentential form. Context is classified as either permitting or forbidding, where permitting context enables the application of...

We consider the problem of maximizing expected utility from consumption in a constrained incomplete semimartingale market with a random endowment process, and establish a general existence and uniqueness result using techniques from convex duality. The notion of “asymptotic elasticity” of...

The exact distribution of a linear combination with positive coefficients of inverted chi-square variables with odd degrees of freedom is derived. This distribution function could be expressed as another linear combination of distribution functions of chi-square random variables

is a particular case of in which all second-order variables are and only functions are sought for as solutions. Its decidability is an intriguing problem, with only a very weak known NP-lower bound. We present the simplest (currently known) undecidable quantified fragment of the theory of by...