APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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The Simplicity of Disproving the Theory of Special Relativity
Full text linkEinstein’s theory of Special relativity is founded on an error made by Hendrick Lorentz. It is not necessary to expose the mathematical inconsistencies of special relativity, since the theory collapses by simply exposing the error made by Lorentz. In doing so, it not only causes special relativity to collapse, but also general relativity, and the many theories built upon these two deceptive theories. There are many claims of tests made which supposedly prove SR or GR, such as the eclipse of 1919, the Hafele-Keating experiment, GPS, the orbit of Mercury, and muons. The error of these will also be shown as well as an area of astronomy which has been negatively impacted by SR.The epistemology approach to special relativity: you can know it is a false theory when the theory requires deceiving the student for acceptance and the tests which support the theory can be proven false.
Relationship Between Weight Function and 1 – Norm
Full text linkThe function on a subset of is the function defined byFor , we define .The Hamming weight of is the number of non – zero coordinates of , where From this one could see that , where is the 1 – norm of given by where . This gives a relationship between the weight function and the 1 – norm.In this paper we establish certain properties of the weight function using the properties of norms
A New Class of Nano Generalized Closed Sets in Nano Topological Spaces
Full text linkIn this paper, we introduce a new class of nano generalized closed sets in nano topological spaces namely nano generalized -closed sets. Then we discuss some of its properties and investigate their relation with many other nano closed sets. Also, we define nano generalized -open set and discuss its relation with other open sets. Finally, we define the properties of nano generalized -interior and nano generalized -closure
Comparative Study Between Local And Global Optimization For Heston Model
Full text linkThe objective of this study is to estimate the calibration parameters of the Heston stochastic volatility model by the two optimization methods: local and global, then to compare their performances and finally to recommend one of the two methods. To predict the prices of EUR/USD currency options, we use the Heston stochastic volatility model. We will first present the model and the two optimization methods: local and global, then we will estimate the calibration parameters using the two optimization methods with MATLAB software, then compare the two and recommend the most efficient method. Results have shown that the local optimization provides excellent calibration parameters with a reduced computational time compared to the global optimization. Therefore, we can clearly recommend it for the Heston model
Soft Igδs-Closed Functions
Full text linkIn this paper, we have introduced a new class of open and closed functions called soft Igδs-closed and soft Igδs-open functions in ideal topological spaces and also investigated some of its characterizations and properties with the existing sets
Abel Fractional Differential Equations Using Variation Of Parameters Method
Full text linkThe Variation of Parameters Method (VPM) is utilized throughout the research to identify a numerical model for a nonlinear fractional Abel differential equation (FADE). The approach given here is used to solve the initial problem of fractional Abel differential equations. There is no conversion, quantization, disturbance, structural change, or precautionary concerns in the proposed method, although it is easy with numerical solutions. The measured values are graphed and tabulated to be compared with the numerical model
Can the entanglement be considered a basic concept of quantum mechanics?
Full text linkRecently, several experimental tests devoted to quantitatively establish complementarity relations in quantum systems have been reported. Starting from the results of fully quantum single-particle self-nterference experiments, we critically review the concept of entanglement, arguing that this quantity is a peculiar trait of composite quantum systems, and thus it can be looked as a basic concept of quantum mechanics
Theta open sets in N-topology
Full text linkThis article elaborates about a novel approach on defining θ-open sets and some of its properties in N-topological space. We establish various continuous maps and discuss the relationship with θ-continuous maps using N-topology. Also discussed the necessary and sufficient condition for θ - irresolute maps in terms of θ-open sets and θ-neighborhood in N-topology. We develop the idea of θ-connectedness properties and some sort of separation axioms in N-topological space
A Wavelet Collocation Method for some Fractional Models
Full text linkThis article presents an effective numerical approach based on the operational matrix of fractional order integration of Haar wavelets for dealing with the fractional models of the mixing and the Newton law of cooling problems. A general procedure of obtaining the fractional integration operational matrix of Haar wavelets which converts the fractional models into a system of algebraic equations is derived so that the computation is very simple and it is much effective than the conventional numerical methods. The reliability and the applicability of the current numerical technique for fractional models are examined by comparing the achieved results with the precise solutions
Extraction of aspects from Online Reviews Using a Convolution Neural Network
Full text linkThe quality of the product is measured based on the opinions gathered from product reviews expressed on a product. Opinion mining deals with extracting the features or aspects from the reviews expressed by the users. Specifically, this model uses a deep convolutional neural network with three channels of input: a semantic word embedding channel that encodes the semantic content of the word, a part of speech tagging channel for sequential labelling and domain embedding channel for domain specific embeddings which is pooled and processed with a Softmax function. This model uses three input channels for aspect extraction. Experiments are conducted on amazon review dataset. This model achieved better result