Newton's method

noun

Mathematics.

a process for approximating the roots of an equation by replacing the curve representing the equation by its tangent and finding the intersection of the tangent with the x-axis and iterating this process.

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Word History and Origins

Origin of Newton's method¹

After I. Newton

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Example Sentences

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This process, the first half of calculus, is now known as differentiation; however, Newton's method of differentiation doesn't look very much like the one we use today.

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Newton’s method of differentiation was based on a notational trick: he let the fluxions change, but he only let them change infinitesimally.

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Newton’s method of fluxions was very dubious.

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As an example, inequality constraints are often handled via penalty functions49 and variations of gradient descent or Newton’s method.

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Newton's method of dealing with these problems was mainly geometric, and the insufficiency of this method was apparent.

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Newton's laws of motion Newton's rings

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