First Sentence:
The objective of numerical analysis is to solve complex numerical problems using only the simple operations of arithmetic, to develop and evaluate methods for computing numerical results from given data.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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extreme feasible point, subtract from column, collocation polynomial, collocation arguments, osculating polynomials, spaced arguments, factorial polynomials, first omitted term, backward formula, truncation error estimate, corrector formula, forward formula, approximate differentiation, truncation error term, cubic segments, starting display, reciprocal differences, backward error analysis, data inaccuracies, preceding problem, natural spline, adaptive integration, local truncation error, spline segments, digamma function
Key Phrases - Capitalized Phrases (CAPs):
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Supplementary Problems, Apply the Gauss, Monte Carlo, Apply Everett, Use Table, Use Problem, Apply Stirling, Apply Bessel, Apply Jacobi, Solve Problem, Apply Bernoulli, Apply Simpson, Generalizing Problem
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