Rakhmatulin’s Filtration Equation for Describing Blood Flow with Stenosis | Chapter 8 | Research Updates in Mathematics and Computer Science Vol. 3

The study is devoted to the nature of blood flow with stenosis. The stenosis is modeled as a porous medium in order to apply the Rakhmatulin filtration model. Based on the penetrating model, considering the movement of particles immobile (immobile particles form stenosis), an equation describing the movement of blood with stenosis was obtained. Outside

Exploring the Essential Spectrum of Normal Vibrations in Internal Waves: Insights from Specific Geometries and Explicit Eigenvalues | Chapter 11 | Research Updates in Mathematics and Computer Science Vol. 3

Aims: For various models of three-dimensional fluid which describe the flows in the Atmosphere and the Ocean in the gravity field with the stratification of vertical density, we investigate a relation between the essential spectrum of normal vibrations of internal waves and non-uniqueness of the limit amplitude of vibrations induced by external mass forces. To

Arc Types and Domination in Intuitionistic Fuzzy Graphs | Chapter 10 | Research Updates in Mathematics and Computer Science Vol. 3

The theory of graph is an extremely useful tool for solving combinatorial problems in different areas such as geometry, algebra, number theory, topology, operations research, and optimization and computer science. In this paper, the definitions of strong arc, non- strong arc, semi µ – strong arc, semi ρ- strong arc, effective arc, semi µ-effective arc

Investigating the Impact of Meteorological Drought on Groundwater Dynamics in a Heterogeneous Aquifer System Using Fuzzy Regression: A Case Study in Southeastern Xanthi, NE Greece | Chapter 9 | Research Updates in Mathematics and Computer Science Vol. 3

This chapter deals with the impact of meteorological drought on groundwater in a heterogeneous aquifer system located in the plain southeast of Xanthi, northeastern Greece, using fuzzy set theory. The research aims to investigate the linear relationship between meteorological drought and groundwater levels of shallow wells, as well as the key role of geology in

Technique of Constructing Optimum Chemical Balance Weighing Designs Using Symmetric Balanced Incomplete Block Designs | Chapter 2 | Research Updates in Mathematics and Computer Science Vol. 3

Methods of constructing the optimum chemical balance weighing designs from symmetric balanced incomplete block designs are proposed with illustration. As a by-product pairwise efficiency and variance balanced designs are also obtained. In this research, we have significantly shown that the obtained designs are pairwise balanced as well as efficiency balanced. The only limitation of this

Spam Detection by Combining Bayesian Method and Regression Analysis | Chapter 5 | Research Updates in Mathematics and Computer Science Vol. 3

This study proposes a new method that utilizes the correlation structure between the number of words in the mail and the Bayesian score. Spam mails usually do not have a stable style and features. Spammers who send such mails, go on changing the features. The most often used statistical filter for email filtering is the

Use of Deep Convolutional Neural Wavelet Network for Classification of Medical Images: A Novel Approach | Chapter 7 | Research Updates in Mathematics and Computer Science Vol. 3

This work presents a new solution for medical image classification using the Neural Network (NN) and Wavelet Network (WN) based on the Fast Wavelet Transform (FWT) and the Adaboost algorithm. The deep learning is a set of algorithms of machine learning, seeking to model with the abstractions of top level within the data using the

An Encourage Arrival of Multi-Server queuing System with Defeat Balking and Feedback Customers | Chapter 1 | Research Updates in Mathematics and Computer Science Vol. 3

In this paper, we develop a finite capacity Multi-server Markovian queuing system with encourage arrival, defeat balking and feedback customers. The customer arrivals follow Poisson process with mean arrival rate λ and service time follow exponential distribution with parameter µ. The steady state solution and the system characteristic are derived for this model. The analytical

Modeling for Soil Parameters Based on Multinomial Logistic Regression | Chapter 3 | Research Updates in Mathematics and Computer Science Vol. 3

This study aimed to investigate the pH associated with micronutrients in soil samples. The characterization of the soil involved analyzing various factors, including pH, Sulfur, Zinc, Iron, Copper, Manganese, and Boron. A total of 500 soil samples were collected and categorized into four pH ranges: moderately acidic (5.1-6.0%), slightly acidic (6.1-6.5%), neutral (6.6-7.5%), and slightly

An Application of Graph Vertex Coloring | Chapter 6 | Research Updates in Mathematics and Computer Science Vol. 3

Graph coloring has many applications including task scheduling, parallel computation, frequency allocation, Network design, register allocation etc.  Here we concerned about the problem of vertex coloring on scheduling or assigning where these graph coloring provide algorithm to prevent or at least minimize the conflict scheduling. The objective is to provide simple way for solving worker