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MTH643 Assignment 1 Solution SPRING 2022 Download The Solution File From The Below Link
Inherent errors It is that quantity of error that is present in the statement of the problem itself, before finding its solution. It arises due to the simplified assumptions made in the mathematical modeling of a problem. It can also arise when the data is obtained from certain physical measurements of the parameters of the problem. Every computer has a finite word length and therefore it is possible to store only a fixed number of digits of a given input number.
MTH643 Assignment 1 Solution SPRING 2022
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Since computers store information in binary form, storing an exact decimal number in its binary form in the computer memory gives an error. This error is computer-dependent. At the end of the computation of a particular problem, the final results in the computer, which is obviously in binary form, should be converted into a decimal form-a form understandable to the user before their printout.
Therefore, an additional error is committed at this stage too. This error is called a local round-off error. It is generally easier to expand a function into a power series using Taylor series expansion and evaluate it by retaining the first few terms. For example, we may approximate the function f (x) = cos x by the series easier to expand a function into a power series using Taylor series expansion and evaluate it by retaining the first few terms. For example, we may approximate the function f (x) = cos x by the series