Sentence examples for well known solutions from inspiring English sources

Well known solutions include using the Moore-Penrose inverse, which yields a minimum norm solution; an alternative is to solve a linear system of equations.

While analytical solutions for the (out-of-plane) rotational stiffness of circular plates are well known, solutions for rectangular plates have not yet been addressed.

A mathematical proof that the infinite expansion converges to the well known solution, given by the implicit formulation and based on radiosities balance, is provided.

As for the literature on the vehicle routing problem, the TABUROUTE algorithm introduced by Gendrau et al. [11] is among the most well known solution algorithms.

These experiments confirm the higher accuracy of the machine learning approach with more than 40% improvement, not only over the standard TCP predictor but also when comparing to another well know solution, the Eifel retransmission timer [4].

In this paper, three examples with continuous and discrete parameters as well as known solutions and varying degrees of complexities are presented as an illustration for solving a large class of process optimization problems in petroleum engineering.

As well known, both solutions of (1.1) and equation can be constructed by the solutions of corresponding difference equations.

It is well known that solutions of both systems take the form of waves that propagate at a finite speed.

It is well known that solutions of inhomogeneous differential and integral equations are represented by integral operators.

Traditional options for organizing projects are well known covering solutions from pure project organizations up to functional organizations via variations of matrix organizations.

The results obtained using the MADS DACE algorithm are considerably better than or as well as the best known solutions reported previously in the literature.