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And, the numbers of internode are random, so the interval of branches growth is also a random quantity, introduce as a random number and variance
Fine-grained simulation of the plant stem growth process.

Introduction Development of building materials based on modeling the processes of formation the structure and properties is virtually reduced to the solution of a number of interrelated tasks: -construction of a hierarchical structure of the system (material) with estimates its elements (base long-term planning and development of the whole complex of individual systems); -definition of methodological principles of synthesis of building materials (the use of classical control theory and methods of system analysis in combination with the experimental, heuristic methods of materials); -identification of kinetic processes of formation the structure and basic physical and mechanical characteristics of the material for assessment of the accuracy of mathematical modeling; -creation of a generalized model of kinetic processes; -definition of the connection between the structure parameters and kinetic processes; -formation of functional quality; -analysis of the possibilities and the choice
According to Pareto principle, "80% of losses due to deficiency or rework arise as a result of 20% of the causes" (a large part of the results is caused by a relatively small number of reasons).
Applying of Pareto principle greatly facilitates the determination of the parameters: the content of the ingredients, grain size, etc.; it allows selecting elements of the material, which are mainly determined properties of the composite (example, for strength and density - the degree of filling and a view of the modifier).

The resistance provided by a number of measures.
The number of stabilizers must be increased with increase carbon content to bind all the carbon and should exceed the carbon content about 5 times [1].
The main purpose of the modeling was to predict the percentage this element of the stabilizer (titanium) alloy, which ensures the formation titanium carbides, not chromium carbides are in solution with the matrix alloy during heating and doesn’t fall in the secondary phase, depleting the area of grain boundary chromium [5].

With increasing exposure time, the number and area of secondary fine grain was also increased.
With increasing exposure time, the number and area of secondary fine carbides were also increased.

The complex propagation wave number has been determined as an eigen value using the formulation.
The variational functional is used here determine the complex propagation wave number
Due to homogeneous grain structure, the reluctance of the circuit reduces and a more uniform magnetization profile also decreases the low-field loss.

In consideration of wetting and foaming capabilities of the foam, a new kind of foaming agent with high foam expansion and wetting ability is developed after a large number of filtering and compound experiments by the ROSS-Miles method and water film flotation process method.
After the experiments of the foaming ability and the wetting ability to different dust grains with different particle diameters, the results show that the new foaming agent can reduce the surface tension of solid and liquid materials rapidly with good foaming and wetting abilities.
In this paper, through a large number of experiments, we optimize and mix highly efficient foam dust suppression foaming agent, determine the optimum proportion of addition, and establish a large-scale experiment system in the laboratory to prepare the dust suppression foam.
Experimental Materials By comprehensively considering the foaming, solubility, cost, environmental protection and other factors of surfactant, select 12 surfactants from a large number of surfactants, with the active substance content of 92% to 95%.
Xuzhou tap water is odorless with the colority less than 5, turbidity less than 0.5, PH = 7.2 and oxygen saturation of 73-78%; the water is of high hardness, where there are a large number of Ca2+, Mg2+ and other multivalent cations.

The influence of solidification rate to microstructures, morphology and grain size of Pt-Ir-M alloys were analyzed.
Mechanical and electrical properties of Pt-Ir-M（M＝Zr, Mo, Y）system According to phase diagram of Pt-Ir-M system and its applications[4-6], we designed the chemical composition of Pt-Ir-M (M＝Zr, Mo, Y) system as follow: Pt-10Ir-1Zr, Pt-10Ir-1Mo, Pt-10Ir-1Y; Pt-25Ir-1Zr, Pt-25Ir-1Mo, Pt-25Ir-1Y, where the number represent the mass percentage of each composition element.
It also can be found in the tables that with the same percentage of doping elements Mo, Y, Zr in Pt-Ir solid solution, the electronic transfer number of Y element is the largest, followed by the Zr element, and the electron transfer number of Mo element is the smallest.

Sound N management practices need to be established to improve N use efficiency leading to high grain yield levels and minimal fertilizer N loss to the environment.
The growth status of rice plants, including height, panicles per hole, and spikelet number per panicle were recorded.
The effective panicles and panicle number per plant under the treatment of 300 kg ha-1 was higher than other treatments.
Maximum mean grain yield was obtained at 270 (N2) kg N ha-1.
At the milk grain ripening stage, chlorophyll content from the four N fertilizer treatments was higher than the control.

But because of the limitation of current technology, it is usually regarded as homogeneous soil in the analysis of mechanical characteristics of soil-rock mixture, and its parameters are usually replaced by the fine-grained fraction approximation.
In the southwest of China, the soil-rock mixture is wide distributed, in great number and with great harm.
Calculation formula follows: (6) Where F is the frequency; is the number of pixel value I; is the total number of pixel points.
Figure 4 Moore(r=1) and Mesh model For any grid, the central cell number is 0, and its neighbors are numbered 1,2,3,4,5,6,7,8, as is shown in Figure 4.For an arbitrary center cellular, its pixel values do not only depend on itself, but also depend on the impact of its neighbors.

Nowadays, severe plastic deformation (SPD) methods, mainly ECAP have been used in TiNi-SMAs for grain size refinement[1, 2] that firstly fulfilled by Valiev and Pushin group[3].
(a) (b) Fig.4 Effect of ECAP Ti-50.8%Ni passes number at 450oC on (a) - Inhomogenity index (b)-Strain standard deviation through different planes Fig.5 Effect of ECAP Ti-50.8%Ni passes number at 450oC on Microhardness inhomogenity index through different planes Results and Discussion Based on the simulation model , Ci and SSD results are investigated in Fig. 4 as a function of pass number and plane section.
Generally, strain homogeneity can increase by increasing pass number [8], but heterogeneity still exist between planes for every pass.
It is obvious that, homogeneity can increase by increasing pass number up to 4-pass along all plane section.