Closest Pair Algorithms in 2D space,a commentary on complexity and reductions

One of the most challenging problems in computational geometry is closest pair of points given n points. Brute force algorithms[1] and Divide and conquer[1] have been verified and the lowest complexity of attributed to latter class of algorithms, with worst case being for the former being . We propose a method of partitioning the set of n-points based on the least area rectangle that can circumscribe these points

Computing of Existence and Uniqueness Solutions for Differential Equations in Metric Spaces by Using MATLAB

A metric space is a set along with a measurement on the set, A metric actuates topological properties like open and shut sets, which lead to the investigation of more theoretical topological spaces. It also has many applications in functional analysis. The aim of this work is design and develop highly efficient algorithms that provide the existence of unique solutions to the differential equation in metric spaces using MATLAB. The quality algorithm was used and developed to solve the differential equation in metric spaces. For accurate results. The proposed model contributed to providing an integrated computer solution for all stages of the solution starting from the stage of solving differential equations in metric space and the stage of displaying and representing the results graphically in the MATLAB program

Modification of Varignon’s Theorem

This paper discusses the modification of Varignon's theorem on quadrilaterals by dividing the sides of the quadrilateral into three, four, five to become parts. The process of proving it is done in a very simple way, namely by using congruence. The result obtained is that the area of ​​the plane formed from the modification of Varignon's theorem has a relationship with the area of ​​the basic quadrilateral.

Exploring The Critical Factors Influencing the Using eLearning During the Covid-19 Pandemic: Case Study in Aljafara University Libya

Many institutions have been shut down and many economic, social, and educational activities have been disrupted by the spread of the coronavirus. Some universities and other educational institutions have opted for eLearning instead of traditional education techniques in order to keep the educational process moving. For the sake of students and teachers, several educational organizations have made their ePlatforms and libraries available for free. However, eLearning approaches have their own set of challenges and constraints that must be overcome to minimize their negative impacts. The purpose of this study is to identify the most significant problems that university instructors face when using eLearning. Teachers' views on eLearning in Libya are examined in this study, as well as their level of satisfaction and willingness to use the platforms. Many university professors were surveyed by e-mail to assess the most pressing issues they faced during the university's closure due to the development of the Corona epidemic. Instructors from two groups of academic workers who make up the sample: computer science department and mathematics department of Aljafara University are included in the study. SPSS software was used to conduct statistical analysis of the data. With a materiality of 71.8% and a mean of 3.62, the data reveal that the challenge of the instructors had the biggest impact. Third place went to all issues relating to students, and social issues came in second place. Materiality of 61% and a mean of 3.07 for accessibility were the next two factors that had the least impact on the eLearning process.

Exploring The Critical Factors Influencing the Using eLearning During the Covid-19 Pandemic: Case Study in Aljafara University Libya

Many institutions have been shut down and many economic, social, and educational activities have been disrupted by the spread of the coronavirus. Some universities and other educational institutions have opted for eLearning instead of traditional education techniques in order to keep the educational process moving. For the sake of students and teachers, several educational organizations have made their ePlatforms and libraries available for free. However, eLearning approaches have their own set of challenges and constraints that must be overcome to minimize their negative impacts. The purpose of this study is to identify the most significant problems that university instructors face when using eLearning. Teachers' views on eLearning in Libya are examined in this study, as well as their level of satisfaction and willingness to use the platforms. Many university professors were surveyed by e-mail to assess the most pressing issues they faced during the university's closure due to the development of the Corona epidemic. Instructors from two groups of academic workers who make up the sample: computer science department and mathematics department of Aljafara University are included in the study. SPSS software was used to conduct statistical analysis of the data. With a materiality of 71.8% and a mean of 3.62, the data reveal that the challenge of the instructors had the biggest impact. Third place went to all issues relating to students, and social issues came in second place. Materiality of 61% and a mean of 3.07 for accessibility were the next two factors that had the least impact on the eLearning process.

Development of the Approximating Functions Method for Problems in a Planar Waveguide with Constant Polarization

Article introduces an extension of the approximating functions method, a particular case of the finite element method (FEM) with interpolating functions in the form of Lagrange polynomials of a special form, to solve electrodynamics problems in a planar waveguide with constant polarization in the spatial-temporal domain using the Volterra integral equation method. The main goal of the article is to expand the area of ​​applicability of this method to three-dimensional problems in a planar waveguide with constant polarization, as well as to obtain general interpolation expressions in analytical form, which will be used to construct a system of nonlinear equations for solving specific problems.

The Adoption of Cloud Computing Among Private Banks Employees in Libya

The adoption of cloud computing (CC) by individuals and banking institutions garnered little attention. The goal of this study is to examine the factors that influence the adoption of CC by Libyan private bank personnel. According to the findings, employees' behavioral intention (BI) to adopt CC is significantly influenced by individual elements (performance expectation (PE), effort expectation (EE), social influence (SI), attitude (AT), and IT knowledge (ITK), among others. User happiness with cloud computing has been proposed to moderate the impact of individual elements on BI (SaaS). A total of 309 Libyan bank workers were randomly selected to participate in the study. Analyses of Moment Structures were used in the study (AMOS). The findings of the study show that the BI's use of CC is influenced by a variety of personal circumstances. It was partially mediated by satisfaction in BI's decision to employ CC. Employees at private banks will be more likely to use CC if they focus on their own needs.

Unique Common Fixed Point Result for Rational Contraction in Complex valued Metric Space

In this paper, we prove some unique common fixed point theorem for two pairs of weakly compatible mappings, satisfying the rational contraction conditions in complex valued metric space. The proved result, generalize and extend some known results in the literature. Finally, The main result is the application of the Urysohn integral equations to derive the existence theorem for a general solution. AMS(MOS) Subject Classification Codes: 47H10, 54H25.

Design of Reconfigurable Micro fluidic Met surface with Different Semiconductor Alloys

In this work, design of a reconfigurable metasurface using all-dielectric materials is presented. An elliptical all-dielectric microfluidic-based metasurface is designed using Rogers RO3210 substrate (ε = 10.2 and tan δ = 0.03). The substrate is covered with microfluidic channel which is filled with five various AgTiTe2, Cu2S, Te.5 Se.5, CuTSe2 and Cu3SbSe4. semiconductor alloys. The reflection and transmission characteristics of the designed metasurface are analyzed in the frequency range of 20-30 GHz using COMSOL Multiphysics software. The results demonstrate that change in the semiconductor alloy in the microfluidic channel various the dynamic transmission and reflection characteristics of the metasurface and thus depicts a reconfigurable operation of the proposed design.

Manifold Discriminative Learning Inspired Hybrid Beamforming for Millimeter-Wave Massive MIMO Systems

Millimeter-wave (mmWave) massive MIMO (multiple-input multiple-output) is a promising technology as it provides significant beamforming gains and interference reduction capabilities due to the large number of antennas. However, mmWave massive MIMO is computationally demanding, as the high antenna count results in high-dimensional matrix operations when conventional MIMO processing is applied. Hybrid precoding is an effective solution for the mmWave massive MIMO systems to significantly decrease the number of radio frequency (RF) chains without an apparent sum-rate loss. In this paper, we propose user clustering hybrid precoding to enable efficient and low-complexity operation in high-dimensional mmWave massive MIMO, where a large number of antennas are used in low-dimensional manifolds. By modeling each user set as a manifold, we formulate the problem as clustering-oriented multi-manifolds learning. The manifold discriminative learning seek to learn the embedding low-dimensional manifolds, where manifolds with different user cluster labels are better separated, and the local spatial correlation of the high-dimensional channels within each manifold is enhanced. Most of the high-dimensional channels are embedded in the low-dimensional manifolds by manifold discriminative learning, while retaining the potential spatial correlation of the high-dimensional channels. The nonlinearity of high-dimensional channel is transformed into global and local nonlinearity to achieve dimensionality reduction. Through proper user clustering, the hybrid precoding is investigated for the sum-rate maximization problem by manifold quasi conjugate gradient methods. The high signal to interference plus noise ratio (SINR) is achieved and the computational complexity is reduced by avoiding the conventional schemes to deal with high-dimensional channel parameters. Performance evaluations show that the proposed scheme can obtain near-optimal sum-rate and considerably higher spectral efficiency than some existing solutions