Sentence examples for using a finite series from inspiring English sources

The closed-form representation of (14) can also be derived by using a finite series representation.

As stated before, the tanh-coth method uses a finite series U = S ( Y ) = ∑ k = 0 2 a k Y k + ∑ k = 1 2 b k Y − k (40).

Also it is shown that the magnetic field non-linearity or the image distortion of a typical bi-planar gradient coil can be adequately parameterized using a finite Taylor series expansion based on its design parameters.

It is common practice to approximate a function by using a finite number of terms of its Taylor series.

Task parameters were estimated using a Finite Impulse Response model (zero filter order, 2 second duration), and motion parameters were calculated from the initial Siemens PACE/MoCo series data and added to the design matrix as a nuisance variable.

It was clear to Burnside that an infinite group (such as the positive integers) may have a finite number of generators and a finite group must have finite generators, but he wondered if an infinite group could result from using a finite set of generators, each of finite order.

Language is a way in which an infinite number of meanings can be expressed by a finite number of symbols using a finite number of rules.

We ran a series of numerical simulations using a finite-element code applied to 2-D cross crosectionion having varying lithological and mechanical layering.

However, using the structural uniqueness of such realizations given by P1, it is easy to give a polynomial-time algorithm based on a finite series of linear programming (LP) optimization steps.

Meanwhile, the expressions of an infinite series summation can be substituted with a finite series summation in the practical applications.

Furthermore, we prove a finite series relation between this unification and 3d-Hermite polynomials.