This paper describes a nancial market modelling framework that exploits the notion of a de ator. The denominations of the de ator measured in units of primary assets form a minimal set of basic nancial quantities that completely specify overall market dynamics. Risk premia of asset prices are obtained as a natural consequence of the approach. Contingent claim prices are computed under the real ...

Given a set of positive integers A = {a1, . . . , ad} with gcd(a1, . . . , ad) = 1, we call an integer n representable if there exist nonnegative integers m1, . . . ,md such that n = m1a1 + · · ·+ mdad . The linear diophantine problem of Frobenius asks for the largest integer which is not representable. We call this largest integer the Frobenius number g(a1, . . . , ad). One fact which makes th...

Abstract The Habsburg Monarchy has often been called a “Europe en miniature.” A diversity of political territories and spaces, nations nationalities, languages, denominations, churches was typical throughout the 19th century. This article addresses complexity with fresh approach. Drawing on new history emotion, it combines perspectives territories, loyalties in order to shed light nation buildi...

All religions and or denominations, among other things, seek to provide answers life-threatening conditions facing their adherents. One of them is the concept salvation. This paper examines salvation Pentecostals/Charismatics in Ghana. Using interviews secondary materials from some Pentecostal/Charismatic practitioners scholars, it was identified that a state affirms soul an individual saved de...

The article «Architectural-spatial principles of formation the structure modern cult buildings Christian confessions in Ukraine» acquaints readers with percentage different denominations Ukraine. paper reports on coexistence religious Ukraine, a table sacred architecture areas is given, as it an important component national minorities living our country. architectural and spatial organization t...

We consider the k-payment problem: given a total budget of N units, the problem is to represent this budget as a set of coins, so that any k exact payments of total value at most N can be made using k disjoint subsets of the coins. The goal is to minimize the number of coins for any givenN and k, while allowing the actual payments to be made on-line, namely without the need to know all payment ...

Smallpox has long been among the infections causing colossal fatalities in epidemics. The creation of a smallpox vaccine late eighteenth century helped improve situation significantly. However, due to wide range reasons, some which were common for many states and reflected country’s specificity, it took almost two centuries introduce vaccination combat disease. This time was required not only m...

We consider the k-payment problem: given a total budget of N units, represent this budget as a set of coins, so that any k exact payment requests of total value at most N can be made using k disjoint subsets of the coins. The goal is to minimize the number of coins for any given N and k The actual payments are made on-line, namely without knowing all payment requests in advance. Our motivation ...