Scale analysis (mathematics)

Fit approximation
Concepts
Orders of approximation Scale analysis Big O notation Curve fitting False precision Significant figures
Other fundamentals
Approximation Generalization error Taylor polynomial Scientific modelling
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Scale analysis (or order-of-magnitude analysis) is a powerful tool used in the mathematical sciences for the simplification of equations with many terms. First the approximate magnitude of individual terms in the equations is determined. Then some negligibly small terms may be ignored.