APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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Correcting the Doppler Effect
Christian Doppler, an Austrian physicist, described in 1842 the apparent change in frequency of a wave when motion of the source or the observer is involved. Named after him, this change in observational frequencies is known as the Doppler Effect. The formula for calculating the frequency change is taught in universities, textbooks, Youtube, and on the internet. Understanding the Doppler effect is used in applications such as radar. Yet, the formula is wrong, yielding a different result when applying the same velocity, once to the source, then to the observer. This article will show the formula, the error, the correction to the formula, and how it disproves Einstein’s theories of special and general relativity
Non-deterministic-M-fuzzy Lattices
Goran Trajakoviski and Tepavcevic´invented the L-fuzzy lattice in which a ´ bounded lattice is fuzzified using a complete lattice. Using a complete consistent distributive multilattice M, we broaden the concept of L-fuzzy lattice to Nd-M-fuzzy lattice in this study. We also introduce the idea of Nd-M-order relation on a set X. Additionally, we demonstrated that the equivalent condition for a Nd-M-fuzzy subset to be a Nd-M-fuzzy sublattice of a bounded lattice L
Strong Perfect Cobondage Number of Standard Graphs
Let G be a simple graph. A subset S Í V(G) is called a strong (weak) perfect dominating set of G if |Ns(u) ∩ S| = 1(|Nw(u) ∩ S| = 1) for every u ∊V(G) - S where Ns(u) = {v ∊ V(G) / uv deg v ≥ deg u} (Nw(u) = {v ∊V(G) / uv deg v ≤ deg u}. The minimum cardinality of a strong (weak) perfect dominating set of G is called the strong (weak) perfect domination number of G and is denoted by sp(G)( wp(G)). The strong perfect cobondage number bcsp(G) of a nonempty graph G is defined to be the minimum cardinality among all subsets of edges X E(G) for which sp (G + X) sp(G). If bcsp(G) does not exist, then bcsp(G) is defined as zero. In this paper study of this parameter is initiated
Connected End Anti-Fuzzy Equitable Dominating Set In Anti-Fuzzy Graphs
In this paper, the notion of connected end anti-fuzzy equitable dominating set of an anti-fuzzy graph is discussed. The connected end anti-fuzzy equitable domination number for some standard graphs are obtained. The relation between anti-fuzzy equitable domination number, end anti-fuzzy equitable domination number and connected end anti-fuzzy equitable domination number are established. Theorems related to these parameters are stated and proved
Families of mappings satisfying a mixed implicit relation
A fixed point for a suitable map or operator is identical to the presence of a solution to a theoretical or real-world problem. As a result, fixed points are crucial in many fields of mathematics, science and engineering. The purpose of this paper is to prove unique common fixed point theorems for families of weakly compatible mappings. Given mappings satisfy common limit range property and a mixed implicit relation. Our results generalize, extend and improve the results of Imdad (2013) and Popa (2018). We provide an application for integral type contraction condition. An example is also mentioned to check the authenticity of our results
Separation Axioms on Soft SIgδs-Closed Sets
In this paper, we have introduce and study weak separation axioms such as soft Igδs-T0, soft Igδs-T1, soft Igδs-T2, δ-T3/4, Igδs-regular space in soft ideal topological spaces and also investigate some of its characterizations and properties with the help of general topology concepts. Also give relationships between the above new regualr spaces. Then we give sufficient and necessity condition between soft SIgδs-closed sets and soft singleton sets in soft Igδs − T1 space
Polynomial Collocation Methods Based On Successive Integration Technique For Solving System Of Neutral Delay Differential Equations
This paper presents a new approach to using polynomials such as Hermite, Bernoulli,Chebyshev, Fibonacci and Bessel to solve a system of linear and nonlinear neutral delaydifferential equations. The proposed method is based on the truncated polynomialexpansion of the function together with collocation points and successive integrationtechniques. This method reduces the given equation to system of non-linear equationswith unknown polynomial coefficients which can be easily calculated. The convergenceof the proposed method is discussed with several mild conditions. Numerical examplesare considered to demonstrate the efficiency of the method. The numerical results revealthat the proposed new approach gives better results than other conventional methods. Itdemonstrates the reliability and efficiency of this method for solving a system of linearand nonlinear neutral delay differential equations
Neutrosophic bipolar vague binary topological space
In this paper, we make an interesting connection between the mathematical approaches to vagueness and the bipolar binary set. The concept of bipolar binary sets over two universal sets. To eliminate ambiguity in a data set, bipolarity is primarily introduced in imprecise binary sets. This article's main objective is to familiarize the reader with the novel concept of a neutrosophic bipolar vague binary set. We also discuss operations like ‘union’, ‘intersection’ and ‘complement’. The concepts of neutrosophic bipolar vague binary topology, zero, unit, open and closed set, neutrosophic bipolar vague binary ‘????-open’ and ‘????-closed’ sets are introduced and their properties are also discussed. Furthermore, the neutrosophic bipolar vague binary ‘b-interior’ and ‘b-closure’ set are defined. Theorems related to these concepts are stated and proved
General Fuzzy Graphs
Fuzzy graphs have many applications in database theory,neural networks and decision making problems.Literature survey shows that in the exisiting definition of fuzzy graph the membership value on links is always less than or equal to the minimum of membership values on the corresponding nodes.This restriction brings a difficulty to address some practical problems where the membership value on links does not depend on that of corresponding nodes.So there exists a gap in literature of fuzzy graphs.In this article we have developed general fuzzy graph and general weak fuzzy graphs and have proved some properties of general weak fuzzy graphs
Gender affirming pathways in Italy between law, health issues and social considerations
The transgender experience predicts that the gender affirming pathway is undertaken. The gender affirmation process is not mandatory, and the process is not the same for all people. Affirmation of gender is a social determinant of transgender and gender diverse (TGD) health, but which also has a multidimensional structure: social, legal, psychological, and medical. At this point, however, it is necessary to understand the type of pathway that TGD people can undertake in Italy, so the purpose of this paper is to make the articulation of the pathway known and explicit, trying to detect the sociological aspects and the impacts that the various components of the gender affirming pathway require. The gender affirming pathway in Italy is characterized by many critical issues: it is focused on the affirmation of medical, legal, and psychological dimensions; however, the affirmation of social gender is also important to promote their integration into society, their health and general well-being. In conclusion, it is necessary to develop and implement research and concrete impacts of social gender affirmation, the potential of which is to reduce inequalities, in general, and health, which negatively impact the Italian TGD individuals