Laplace Transform Example

Abstract: This paper describes the Laplace transform used in solving the differential equation and the comparison with the other usual methods of solving the differential equation. The method of Laplace transform has the advantage of directly giving the solution of differential equation with given boundary values without the necessity of first finding the general solution…

Read More

Basics of Topological Solutons

Research into topological solitons began in the 1960s, when the fully nonlinear form of the classical field equations, were being thoroughly explored by mathematicians and theoretical physicists. Topological solitons were first examined when the solutions to these equations were interpreted “as candidates for particles of the theory” [1]. The particles that were observed from the…

Read More

Carrying out an open-loop step response on the process trainer pt326

Share this: Facebook  Twitter  Reddit  LinkedIn  WhatsApp   INTRODUCTION: The control systems are based up on the behaviour of the dynamics systems and it is also a branch of the engineering and mathematical model of the process. The desired output of the system is called as reference. A controller is device which observes and outcome the changes in the output that…

Read More

What are that iteration methods compare different iterative method?

Share this: Facebook  Twitter  Reddit  LinkedIn  WhatsApp   What are that iteration methods compare different iterative method? What are the iteration methods? An iterative method is a powerful device of solving and finding the roots of the non linear equations. It is a process that uses successive approximations to obtain more accurate solutions to a linear system at each step. Such…

Read More

Conic section

Conic Section The names parabola and hyperbola are given by Apolonius. These curve are infact, known as conic sections or more commonly conics because they can be obtained as intersections of a plane with a double napped right circular cone. These curves have a very wide range of applications in fields such as planetary motion,…

Read More

Correlation the Number of the Students’ College Applications and Consumption of Caffeine

Share this: Facebook  Twitter  Reddit  LinkedIn  WhatsApp   Correlation the Number of the Students’ College Applications and Consumption of Caffeine Introduction and statement of intent: Students are exposed to a lot of stress during the college admissions process. These increased stress levels come with some negative consequences like the increase in consumption of caffeine. The objective of this academic project is…

Read More

Derivation and Geometry of the Catenary Curve

Mathematics SL Derivation and Geometry of the Catenary Curve Table of Contents Introduction 1 The Catenary Curve 1-2 Geometry and Defining Variables 3-5 Derivation 5-7 Application 8-9 Conclusion 9 Bibliography 9-10 Introduction ————————————————— My biggest interest has always been art and design. Both my brother and my dad work in construction which introduced me to…

Read More

Digital signature

I. Introduction The main role of digital signature primitive is to preserve the data integrity of electronic document and to accomplish the requirement of authentication and verification. Only one signer using his/her private key generates an ordinary digital signature scheme. However, in some practical application, a document requires all group members to generate a signature…

Read More

Equity and social justice in the teaching and learning of mathematics

Share this: Facebook  Twitter  Reddit  LinkedIn  WhatsApp   Equity and Social Justice in the teaching and learning of Mathematics Equity and Social justice are important issues in Mathematics teaching. This essay explores the relevance of how Mathematics Education may be a necessary factor in determining the social justice of a child’s upbringing, and consider how equity can be used to ensure…

Read More

Gaussian Mixture Model

Many computer related vision technology, it is critical to identify moving objects from a sequence of videos frames. In order to achieve this, background subtraction is applied which mainly identifies moving objects from each portion of video frames. Background subtraction or segmentation is a widely used technique in video surveillance, target recognitions and banks. By…

Read More

Hopf Algebra Project

Petros Karayiannis Chapter 0 Introduction Hopf algebras have lot of applications. At first, they used it in topology in 1940s, but then they realized it has applications through combinatorics, category theory, Hopf-Galois theory, quantum theory, Lie algebras, Homological algebra and functional analysis. The purpose of this project is to see the definitions and properties of…

Read More

How Can Integral Calculus Be Derived and Applied to Find the Volumes and Surface Area of Complex Three-dimensional Objects?

 Reference this Share this: Facebook  Twitter  Reddit  LinkedIn  WhatsApp   1.    Rationale While looking for an area of maths to delve into my Mathematical Exploration, I took inspiration from my grandfather’s hobby of pottery and glass blowing. In the garage, he would have sheets of glass and clay blocks occupying the shelves. We had a shared past-time where he would make beautiful,…

Read More

How does the jump of a horse affect its performance in showjumping competitions?

Share this: Facebook  Twitter  Reddit  LinkedIn  WhatsApp   How does the jump of a horse affect its performance in showjumping competitions?       1.0 Rationale:   In this Math IA, I am wanting to talk about the different types of horses and their how they jump is better than other animals. My aim of this Internal Assessment is to analyse the…

Read More

Impacts of the Imaginary Number on Mathematics

Mathematics was man’s first approach to understanding the world around them since the beginning of humanity. The study grew with history in various forms with every human civilization, and as time passed, more discoveries were made that allowed humanity to reach great heights in agriculture, architecture, social structure, and their culture. Great mathematicians continued extensive…

Read More