Sentence examples for infinite sum from inspiring English sources
It therefore makes sense to define the infinite sum to be exactly 1.
And in his piece "Take it to the Limit," Mr. Strogatz uses an infinite sum to derive the formula for the area of a circle.
These investigations reached a climax when Joseph Fourier (1768 1830) discovered that almost any periodic function can be expressed as an infinite sum of sine and cosine functions, whose periods are integral divisors of the period of the original function.
"It had cost an infinite sum," Princess Wilhelmina of Prussia wrote about the 1730s Japanese lacquer panels with images of courtiers that she had installed at her Bayreuth castle.
The infinite sum is equal to (4.14).
Taking the infinite sum over both sides of Eqs.
More precisely, it rests on an implicit assumption that any infinite series of positive reals must have an infinite sum.
The solution involves an infinite sum of improper integrals, which are evaluated numerically.
It is remarkable that Dhompongsa et al. [5] define an infinite sum '⊕' as follows.
In a practical implementation, the truncation of the infinite sum is unavoidable.
We assume that the solution f may be expanded as an infinite sum: (2.3).
