## Solving System of First Order Linear and Nonlinear Differential Equations in Applied Mathematics

The differential transform algorithm (DTA) is used in this chapter to simulate computational solutions of first-order systems of linear and nonlinear equations in applied mathematics....

## Logging into a Universal Quantum Computer: A Novel Way to Construct the Fibonacci Sequence and the Uni-Phi-cation of Mathematics and Physics

When the Fibonacci number sequence is based on the number seven and its multiples, the Fibonacci sequence self-repeats when the differences between it and the...

## On the General Helix with First and Second Curvature in Nil 3-Space

Thurston's conjecture has eight geometries, one of which is nil geometry. In geometry, the helix, null helix, and slant helix have been studied in the...

## Intrinsic Non-Commutativity and Statistical Multiplicity in a Reversible Chemical Reaction

Non-commutative space mathematics is a burgeoning field of study that has found solid proof of validity in nature, specifically in quantum systems. We analyse the...

## Monte Carlo Method for Pricing of Multi-Asset Rainbow Options

When compared to other computer methods, the Monte Carlo method solution of the system stochastic differential equations in multidimensional instance offered numerous advantages. One of...

## Nowhere p – Dense Sets and Semi p-correspondent Topologies

The purpose of this research is to explain semi p-open sets. We also introduce the concept of nowhere p-dense sets and construct an equivalent criterion...

## Prime Distance Graphs and Applications of Graph Labeling: A Modelling Approach

A diagram H is a prime distance graph if there is a one-to-one function h: V (H) Z such that the number |h(x) h(y)| is...

## Study on New Fixed Point Theorems for Modified Generalized Rational α-ψ- Geraghty Contraction Type Maps

We begin by introducing modified generalised rational —Geraghty contraction type maps in the framework of metric space and developing some fixed point theorems for such...

## Some Properties of Fuzzy q-open Set and Fuzzy q-b Open Set in Fuzzy Quad Topological Space

Any non-empty set with four topologies is called a Quad topological space. Let be a non-empty universal set. A fuzzy set λ : X →...

## Text Sentiment Analysis for Intelligent Transportation Systems by Using Web-Based Traffic Data: A Descriptive Study

In essence, transportation systems serve people, yet modern intelligent transportation systems (ITSs) have failed to consider public opinion. It is required to collect and analyse...