INTRODUCTION TO DIRECT AND ITERATIVE METHOD Many important practical problems give rise to systems of linear equations written as the matrix equation Ax = c, where A is a given n × nnonsingular matrix and c is an n-dimensional vector; the problem is to find an n-dimensional vector x satisfying equation . Such systems of linear equations arise mainly from discrete approximations of partial differential […]
Algebra is a branch of mathematics, as we know maths is queen of science, it plays vital role of developing and flourishing technology, we use all scopes in past and newly, the algebra is not exceptional the maths. Algebra is one of the main areas of pure mathematics that uses mathematical statements such as term, equations, or expressions to relate relationships between objects that change […]
Algebra is a branch of mathematics, as we know maths is queen of science, it plays vital role of developing and flourishing technology, we use all scopes in past and newly, the algebra is not exceptional the maths. Algebra is one of the main areas of pure mathematics that uses mathematical statements such as term, equations, or expressions to relate relationships between objects that change […]
Voorwoord Het stond vast, ons onderwerp werd priemgetallen. Onze kennis in verband met priemgetallen reikte niet verder dan “de getallen die deelbaar zijn door 1 en zichzelf”. En we vroegen ons af wat er nog meer over te zeggen valt. Na even te surfen op het internet bleek al snel dat er veel informatie te vinden was. Priemgetallen hebben vele wiskundigen door de geschiedenis geboeid. […]
All mathematicians know (or think they know) all about the real numbers. However usually we just accept the real numbers as ‘being there’ rather than considering precisely what they are. In this project I will attempts to answer that question. We shall begin with positive integers and then successively construct the rational and finally the real numbers. Also showing how real numbers satisfy the axiom […]
For this mini group project, me and my partner have been given a project title to be discussed which is string definition, null string and length, concatenation of strings, substring, and also languages and natural languages. This topic is the subtopics from the main chapter 3 which is Sequences and String. From this chapter basically this chapter help student especially in the application of computer […]
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 are affected by the input variables. And it is also used to […]
History of matrix had to be going back to the ancient times, because it is not applied until 1850. Matrix is the Latin word for womb, and is same in English. It can also mean something is formed or produced. Matrix was introdeced by James Joseph Sylvester,who have brief career at the University of Virginia, which came to an abrupt end after an enraged Sylvester, […]
Introduction Gas sensors based on semiconducting metal oxides are being widely used for sensing gases and vapors. The initial momentum was provided by the findings of Seiyama et al. in metal oxide-gas reaction effects in 1962. It was shown that the electrical conductivity of ZnO can be changed by the presence of reactive gases in the air. The merits of these sensors include their reliability, […]
INTRODUCTION Unitary matrix In mathematics, a unitary matrix is an n by n complex matrix U satisfying the condition where , is the identity matrix in n dimensions and , is the conjugate transpose (also called the Hermitian adjoint) of U. Note this condition says that a matrix U is unitary if and only if it has an inverse which is equal to its conjugate […]
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