Maclaurin in a sentence

His father, Reverend and Minister of Glendaruel John Maclaurin, died when Maclaurin was in infancy, and his mother died before he reached nine years of age.

It also manages the Weston Neighbourhood Hall on Hilder Street, Weston; Flynn Community Hall, a “beautiful space” on Bingle Street, Flynn; and the Chifley Community Meeting Room, a modern space on Maclaurin Crescent, Chifley, says Yung.

Applications The Basel problem The Basel problem asks to determine the sum : Euler computed this sum to 20 decimal places with only a few terms of the Euler–Maclaurin formula in 1735.

Assuming that ƒ is a sufficiently often differentiable function the Euler–Maclaurin formula can be written as Concrete Mathematics, (9.67).

Euler needed it to compute slowly converging infinite series while Maclaurin used it to calculate integrals.

Examples The Maclaurin series for any polynomial is the polynomial itself.

He was then educated under the care of his uncle, the Reverend Daniel Maclaurin, minister of Kilfinan.

Instead of the above ad hoc analytic continuation assumption, non-convergent sums and integrals are computed using Euler–Maclaurin summation with a regularizing function (e.

Invention and Innovation in the Radio Industry by W. Rupert Maclaurin, 1949, page 122. These licensees paid 5% royalties on their sales, which were restricted to only "amateurs and experimenters".

Leonhard Euler and Gauss had given various criteria, and Colin Maclaurin had anticipated some of Cauchy's discoveries.

Maclaurin showed that an oblate spheroid was a possible equilibrium in Newton's theory of gravity.

Newton was so impressed with Maclaurin that he had offered to pay his salary himself.

On 3 November of that year Maclaurin succeeded Gregory, and went on to raise the character of that university as a school of science.

Setting 0 as the start of computation we get the simplified Maclaurin series : The same method of calculating the initial values from the coefficients can be used as for polynomial functions.

The formula was discovered independently by Leonhard Euler and Colin Maclaurin around 1735 (and later generalized as Darboux's formula ).

The subject continues to be of scientific interest, and Nobel Laureate Subramanyan Chandrasekhar dedicated a chapter of his book Ellipsoidal Figures of Equilibrium to Maclaurin spheroids.

Using now the power series definition from above we see that for real values of x : In the last step we have simply recognized the Maclaurin series for cos(x) and sin(x).