Sentence examples for follows consider from inspiring English sources

The intuition is as follows: Consider a subtree and a sample path on it with duration t+1.

We motivate proceeding in this direction as follows: consider Theorem 1, and let I : = { i ∈ { 1, …, n } ∣ p i ≠ 0 }.

Kendall's measure captures the correlation between the two metrics as follows: Consider any two vertices (v_{i}) and (v_{j}).

Formally, this problem can be stated as follows: Consider a set Γ={τ1,...τ..τ n } of N independent periodic communicating tasks.

Details of the proof are as follows: Consider a Lyapunov function of the system with dynamic evolution (1) and (2): L ( q ( t ) ) = ∑ c ∈ N M ( q b, c ( t ) 2 + q r, c ( t ) 2 ).

The framework, as developed by Chavas, et al. ([2005]), may be summarised as follows: Consider a farm household with m family members making production, consumption, and labour allocation decisions during a specific time period.

Iterative refinement is performed as follows: Considering the coherence, traverse each pixel in image T1.

The proof could be summarized as follows: Considering (18) and setting K=3.

The advantages of the proposed model are as follows: considering multi-period production planning, dynamic system reconfiguration, duplicate machines, machine capacity, available time of workers, and worker assignment.

These results are summarized in Additional file 1: Figure S5 and may be presented as follows, considering T h>0 : vSDC ≥ Gold > Glide > Surflex > FlexX.

Some future studies are as follows: considering each parameter as a fuzzy, multi-period planning and solving the presented model by using heuristic or meta-heuristic algorithms.