In this article, we shall study Jacobi’s Method to find the solution of simultaneous equations. Example 01: Solve the following equations by Jacobi’s Method, performing three iterations only. 20x + y – 2z = 17, 3x + 20 y – z + 18 = 0, 2x – 3y + 20 z = 25. Solution: Given […]
Category: Applied Mathematics
In this article, we shall study the use of the bisection method to solve an equation. Intermediate Value Theorem : If a function f is continuous on closed interval [a, b] and f (a). f (b) < 0, i.e. ƒ (a) and ƒ (b) are opposite signs, then there exists at least one c ∈ […]
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Statement in Logic
The word Logic is derived from the Greek word ‘Logos’ which means reason. Logic deals with the methods of reasoning. Logic is a process by which we arrive at a conclusion from known statements or assertions with the help of valid assumptions. The valid assumptions are known as laws of logic. The Greek philosopher and […]
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Forward Differences 01
In this article, we shall study to prepare the forward difference table from the given data. Example – 1: If f(x) = x2 + x + 1, construct a forward difference table by taking x = 0, 1, 2, 3, 4, 5 i.e. 0(1)5. Hence find Df(o), D2f(1) and D3f(2). Solution: Given f(x) = x2 […]