Sentence examples for an infinite sum from inspiring English sources

The solution involves an infinite sum of improper integrals, which are evaluated numerically.

The solution is expressed in the form of an infinite sum of orthogonal natural modes multiplied by the generalized displacements.

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.

Practical implementation requires the truncation of the exact boundary condition by approximating an infinite sum with a finite sum, and by terminating an infinite recursion relation.

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 begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions.

2) Single infinite series representation: The second result provides a simpler expression for (18) involving only a single infinite sum [23], which was proposed by Moschopoulos [24].

Single infinite series representation: The second result provides a simpler expression for (18) involving only a single infinite sum [23], which was proposed by Moschopoulos [24].

The quasi-periodic Green function is a doubly infinite sum of scaled 3D free-space outgoing Helmholtz Green functions.

Remark Assume that X is a finite or countable discrete set, A is its power set P ( X ) and λ has mass 1 for each x ∈ X, then Γ f becomes a finite or infinite sum, respectively.

Consequently, in a discrete regular structure, the aggregate interference can be viewed as a finite or infinite sum of weighted RVs with the weights being straightforwardly obtained from geometric considerations.