For avalanching in the streamwise direction at site (i, j), the topographic height at (i, j) develops as follows: hleft i,jright to hleft i,jright -{q}_a;mathrm{and}kern0.5em hleft(i+1,jright -{q}_aft(i+1,jright)+{q}_a, (4)where q a is the numathrm{and}kern0.5emove by avalanchleftduri+1 one time step.
If Line 4 is tripped because of failure and operators failed to take any measures, system state will develop as follow.
With the linear model of breast cancer development, it is accepted that a breast lesion will develop as follows: ADH to DCIS to IDC.
The algorithm is as follows: Suppose the present best tour is (1 = β0, β1, β2,…, βn−1), then the local search algorithm can be developed as follows: Step 1: For i = 1 to n − 2, do the following steps.
Hence, the sciences developed as follows: from mathematics, astronomy, physics, and chemistry to biology and finally to sociology.
In the present paper, a complete engineering calculation procedure for fast evaluations of the effective thermal conductivity of the silica aerogel composites is developed as follows.
And consequently, a set of complete well completion technologies suitable for HTHP (high temperature and high pressure) and high-flowrate gas wells with acidic media was developed as follows.
A three-step procedure was developed as follows: 1) electrochemical self-organization of etching on titanium substrate to create highly ordered cell-sized microhole arrays, 2) suitable dual acid etching to increase the roughness of the microholes, and then 3) electrochemical anodization in a NaOH electrolyte to construct a nano-network porous titania layer on the above micro-roughened surface.
