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In computational physics, the concepts of true error and relative true error are essential for analyzing the accuracy of numerical methods and approximations. Whenever a numerical procedure is used to solve a physical problem, such as integrating differential equations, evaluating integrals, or solving linear systems, the obtained result is typically an approximation rather than the exact value. Since exact analytical solutions are not always possible, it becomes important to quantify how far the approximation deviates from the actual or true value. This quantification is achieved through error analysis, where true error _______ _________ _____ _____ ________ ______.
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