Sentence examples for well known solution from inspiring English sources

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.

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.

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 is well known, the solution space of the linear system is homogeneous and additive.

As is well known, a solution (u(t)) of (1.1) is named homoclinic (to 0) if (u(t)rightarrow0) and (u'(t)rightarrow0) as (|t|rightarrow +infty).

As is well known, a solution u ( t ) of Eq. (1.1) is called homoclinic (to O) if u ( t ) → 0 and u ′ ( t ) → 0 as | t | → + ∞.

As is well known, a solution u ( t ) of (1.3) is named homoclinic (to 0) if u ( t ) → 0 and u ′ ( t ) → 0 as | t | → + ∞.

As is well known, a solution u ( t ) of Eq. (1.1) is named homoclinic (to 0) if u ( t ) → 0 and u ′ ( t ) → 0 as | t | → + ∞.