Significance
Newton's formula is of interest because it is the straightforward and natural differences-version of Taylor's polynomial. Taylor's polynomial tells where a function will go, based on its y value, and its derivatives (its rate of change, and the rate of change of its rate of change, etc.) at one particular x value. Newton's formula is Taylor's polynomial based on finite differences instead of instantaneous rates of change.
Read more about this topic: Newton Polynomial
Famous quotes containing the word significance:
“I am not afraid that I shall exaggerate the value and significance of life, but that I shall not be up to the occasion which it is.”
—Henry David Thoreau (1817–1862)
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—Marlon Brando (b. 1924)
“History is the interpretation of the significance that the past has for us.”
—Johan Huizinga (1872–1945)