APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
Not a member yet
757 research outputs found
Sort by
The Adomian Decomposition Method for Standard Power Options
Get PDFBlack-Scholes model derived by Black and Scholes is worldwide used mathematical model for valuing option price. This model brings a new quantitative approach for researcher to finding theoretical values of options. They derived the model of European options for plain vanilla payoffs. Black-Scholes model derived from Black-Scholes differential equation which is parabolic in nature. In this paper, a well-known accurate, simple, semi-analytical method, the Adomian decomposition method (ADM), is used for Black-Scholes differential equation for standard power payoffs. This model is the generalization of plain vanilla payoffs. Further, it can be seen that the cumulative distribution function of standard normal random variable is used in the closed form formulas of standard power options, while our formulas do not involve any term regarding random variable. In fact our formulas are impressive, fruitful and very close to the closed form formulas. Numerical results shows that our approach gives very accurate results
The essence of things. Is there a methodological specificity in sociological knowledge?
Get PDFScientific reasoning – presumed unique, perfect, objective – still solidly bases its foundations on the consequences of the evident success (theoretical and practical) obtained over the centuries starting from Galilean intuition. Over time, the granitic belief that scientific success can depend exclusively on a single, simple principle of method, has actually been slightly undermined; there is still a solid scientific basis about this idea, but the demands for rethinking and eclecticism also in the methodological approach begin to be "important". It therefore seems absolutely compelling to note the difference between "inanimate" sciences – which have gradually seen the level of compliexity growing, however, resulting from the fact that the more the system of knowledge grows and the greater are the dark areas to be revealed – and "animated" sciences who have as their object of interest people, sensibility, ethics, behaviors and social actions
Sketching a Theology based on Historical Science
Get PDFSt. Thomas Aquinas envisaged theology to be a kind of scientia which was considered as a kind of first cause science. However, science of that time is different from “modern” science. Recently, a theory of scientific study is developed, which outlines science by a theory and some models similar to knowledge in physics. According to this theory, (modern) sciences organize their knowledge consisting of theories, models and experiments interacting with physical situations. Perhaps, it is possible to organize knowledge of Christian theology in a similar way as science (from the perspective of Christian belief). Doing this requires extensive and deep knowledge of both science and Christian theology. This paper only attempts to sketch such a theology, which is coined scientia theology to distinguish it from the existing scientific theology of McGrath. Our theology consists of a theory that is outlined here, several historical event models (like the crucifixion model and the last supper model) as well as various experiments that provide us with observations supporting the related models and principles. The theory of our theology interacts with the models which may retrodict or are supported by observations from the experiments that interact with the physical situations
Group Decision Making in Conditions of Uncertainty using Fermat’s Weak Fuzzy Graphs and Beal’s Weak Fuzzy Graphs
Get PDFDecision making is a process of solving problems for choosing the best alternative. The best way to illustrate the alternatives and relation between them is a graph. Developing a fuzzy graph is the convenient way of illutration if there is uncertainty in alternatives or in their relation. In group decision making problems, according to a group of experts, the relation between alternatives involves measure of preference and non preference. Intuitionistic fuzzy graph has limitations to model such problems. In n- Pythagorean fuzzy graphs the hesitancy degree and other decision tools are restricted to second degree.To overcome the flaws of intuitionistic fuzzy graphs and n- Pythagorean fuzzy graphs, we introduced Fermat’s Fuzzy Graphs in 2022. In this paper the decision tools are generalized for Fermat’s Fuzzy Graphs. A practical example of selection of investement scheme is illustrated. Finally, Beal’s Fuzzy graphs is developed as generalization of Fermat’s Fuzzy Graphs
Independent Restrained k - Rainbow Dominating Function
Get PDFLet G be a graph and let f be a function that assigns to each vertex a set of colors chosen from the set {1, 2…, k} that is f: V(G) P [1,2,…,k]. If for each vertex v V(G) such that f(v) = .we have then f is called the k – Rainbow Dominating Function (KRDF) of G. A k – Rainbow Dominating Function is said to be Independent Restrained k - Rainbow Dominating function if (i)The set of vertices assigned with non – empty set is independent. (ii)The induced subgraph of G, by the vertices with label has no isolated vertices. The weight w(f) of a function f is defined as w(f) = .The Independent Restrained k – Rainbow Domination number is the minimum weight of G. In this paper we introduce Independent Restrained k – Rainbow Domination and find for some graph
The authorship of the principle of inertia
Get PDFAccording to some currents of modern historiography, Galilei's propensity for circular motion would have led him to consider this and not rectilinear motion as “natural motion”; therefore the principle of inertia could not be fully attributed to Galileo, which he would never have formulated. The question of the authorship of the principle of inertia certainly weighs on both nationalistic elements and returns of antigaleleism, while the question of its not explicit formulation as a principle is due to ignorance of the type of organization that Galileo intended to give to the exposition of his physics. The author, after having hinted at possible prodromes of the principle of inertia and having reported the adverse opinions of illustrious historians of science (A. Koyré, I. B. Cohen, P. M. Duhem, P. Rossi, G. Holton), through a careful analysis of the Galilean writings, conducted on the digital versions with the help of text analysis programs, firmly reaffirms Galileo's authorship of the principle of inertia and the consequent principle of classical relativity
Some Edge Domination Parameters in Bipolar Hesitancy fuzzy graph
Get PDFIn this article, we establish edge domination in Bipolar Hesitancy Fuzzy Graph(BHFG). Various domination parameters such as inverse edge domination and total edge domination in BHFG are determined. Some theorems related to edge domination and examples are also discusse
The Forcing Geodetic Cototal Domination Number of a Graph
Get PDFLet be a geodetic cototal domination set of . A subset is called a forcing subset for if is the unique minimum geodetic cototal domination set containing . The minimum cardinality T is the forcing geodetic cototal domination number of S is denotedby , is the cardinality of a minimum forcing subset of S. The forcing geodetic cototal domination number of ,denoted by , is , where the minimum is takenover all -sets in . Some general properties satisfied by this concept arestudied. It is shown that for every pair of integers with ,there exists a connected graph such that and . where isthe geodetic cototal dominating number of
The influence of social capital on health issues among transgender and gender diverse people: a rapid review
Get PDFThis article aims to analyze the current literature on the social capital of transgender and gender diverse(TGD) people, given their fragility in social and health terms. The paper followed the guidelines developed by Tricco, Langlois, and Straus. The results of this paper reveal significant gaps in the literature relating to the social capital of TGD people and highlight how the various types of shared capital are for sexual health to be considered in future research on transgender health. This is the first article that analyzes in detail the relationship between social capital and TGD individuals. To date, there is no other scientific evidence in the literature in this regard. The paucity of scholarly evidence available for paper limits our ability to make conclusive statements about social capital of TGD people. Small sample sizes in the included studies warrant caution when deriving generalized conclusions about social capital
Closed Isometric Linear Transformations of Complex Spacetime endowed with Euclidean, or Lorentz, or generally Isotropic Metric
Get PDFThis paper is the first in a series of papers showing that Newtonian physics and Einsteinian relativity theory can be unified, by using a Generalized Real Boost (GRB), which expresses both the Galilean Transformation (GT) and the Lorentz Boost. Here, it is proved that the Closed Linear Transformations (CLTs) in Spacetime (ST) correlating frames having parallel spatial axes, are expressed via a 4x4 matrix Λ I , which contains complex Cartesian Coordinates (CCs) of the velocity of one Observer / Frame (O/F) wrt another. In the case of generalized Special Relativity (SR), the inertial Os/Fs are related via isotropic ST endowed with constant real metric, which yields the constant characteristic parameter ω I that is contained in the CLT and GRB of the specific SR. If ω I is imaginary number, the ST can only be described by using complex CCs and thereexists real Universal Speed (c I ). The specific value ω I =±i gives the Lorentzian-Einsteinian versions of CLT and GRB in ST endowed with metric: -g I00 η and c I =c, where i; c; g I00 ; η are the imaginary unit; speed of light in vacuum; time-coefficient of metric; Lorentz metric, respectively. If ω I is real number, the corresponding ST can be described by using real CCs, but does not exist c I . The specific value ω I =0 gives GT with infinite c I . GT is also the reduction of the CLT and GRB, if one O/F has small velocity wrt another.The results may be applied to any ST endowed with isotropic metric, whose elements (four-vectors) have spatial part (vector) that is element of the ordinary Euclidean space