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Similarly, the graphite samples are of the size of 2.5x2.5x0.5 mm3 on which the grain size is a few micrometer.
We assume the Landau level quantum number n=1.
These states are degenerate, i.e., they have the equal energy for different quantum numbers.
However, the number of levels is very large, ~101.
Shrivastava, Rational numbers of the fractionally quantized Hall effect, Phys.

Hidden layer number of BP network and value range of the nodal points number of each hidden layer are given, then the network is trained by samples and genetic algorithm is adopted to search the optimal neural network structure.
The mathematical principle of uniform design is Consistent Distribution Theory of Number Theory, only considering the uniform distribution of the testing points in the range of test [9].
For a test with x factors and n levels for each factor, the number of test points selected is just only n, which will reduce workload of tests by a large margin and control all the possible test assemblies fully.
In this research the objective function is as follows: (2) In this expression, fi(X) is the in-situ measured displacement of sample i（i=1，…, n）, ui is the predicted displacement of sample i, n is the total number of testing samples.
The finished indoor geotechnical experiments consists of basic physical property experiments(from which natural water content, specific gravity, unit gravity, liquid limit, plastic limit and grain-size distribution relation are got) of soil ,direct shear tests(cohesion and inner friction angle are obtained with normal stress 50, 100, 200 and 300 kPa respectively) and consolidated undrained triaxial shear tests(with ambient pressure 50, 100, 200 and 300 kPa separately ) .

Investigation of the mechanism of abrasive wear of elastomers allowed, within the framework of the development of phenomenological models, to obtain a number of semi-empirical relationships linking the wear amount with such characteristics of elastomers as strength, modulus and friction coefficient [6-7].
Recent studies in the field of abrasive wear of elastomers showed that the main reason of the low abrasion resistance for a number of elastomers was related with the high friction coefficient of such materials.
It is known that a number of powdered fillers can play the role of effective friction modifiers [18-21].
The coefficient of friction (μ) of materials during friction on an abrasive surface was determined in accordance with TU 32.99.53-001-78940767-2018 on a universal friction machine UMT-200 under conditions of “dry friction” by rotating at a speed of 200 rpm pressed with a force of (35±5) N of the annular indenter (sandpaper, grain # 60) to the surface of the test specimen 5 cm in diameter [18].
The described surfaces are characterized by a shallow profile of plowing bands due to the action of large abrasive particles and the presence of a noticeable number of areas with small-sized defects (1-5 micrometers).

Often, a casting includes an identification number cast directly into the part, perhaps also including date and logos.
The most advanced part marking systems include laser etching, RFID tags and 2D matrix codes directly marked on the metal to digitize the ID numbers into the castings [3,4,5].
Permanently labeling parts or direct part marking (DPM) needs to be complete with serial numbers and other necessary information [6].
Also, the sand grains may not properly fill all small features such as tag dots.
Acknowledgements This work was made possible with support from an Academy of Finland, Project Number 310252.

To correctly represent the natural behavior of water flow the parameters of DPM are defined from Eulerian perspective using the Weber number (We) [16,17].
The Weber numbers can be calculated the particle sizes in the DPM methodology that can give an answer comparable to VoF methods as follow (9) Figure 3.
The Weber number in the DPM model is adjusted to match the VoF simulation results as stated in equations (8)-(9).
The Weber number that is adequate in this circumstance is 0.0061.
Adair, “The application of the Coal Grain Analysis Method to coal liberation studies,” International Journal of Coal Preparation and Utilization, vol. 31, no. 2, pp. 96–111, 2011

For the aim of the alloy surface standardization, prior to oxidation, the samples have been polished with sandpaper of different grain sizes (600, 800, and 1200), washed with distilled water and alcohol.
To establish the best conditions for coating formation, a number of experiments with variable electrophoresis times were performed.
The polytetrafluoroethylene-containing layer serves as a dry lubricant, which indicated by the ‘plateau’ on the dependence of the friction coefficient on the number of rotation cycles (Fig. 2).
The SPTFE deposition for 15 s results in the almost 8-fold increase of the coating lifetime (number of cycles to complete wear, see Table 3).
It is characterized by more than 30-fold number increase of cycles, as compared to the basic PEO-layer.

When biomass adding amount of more than 50%, a large number of biomass can occur before the Samples volatilization of precipitation in coal  softening melting, then adhesion, covering the surface of coal, coal blockage wool stoma, suppress the volatile evolution and diffusion, which play the role of inhibition of lignite pyrolysis; Wen Lee [6] in pressurized with non isothermal weight on the heat balance method for total biomass (sawdust, rice husk) and coal pyrolysis research, think of biomass with coal pyrolysis temperature difference is very big, so no interaction in the pyrolysis process. 
Experimental study Raw material and the analysis of nature Wood chips with high-speed multi-function crusher (BL - 100 type, voltage 220 v, power 650 w, rotating speed of 22000 r/min) grinding particle size was less than 0.2 mm samples, coal sample grain size is less than 0.105mm.Samples of industrial analysis, element analysis to see the table.1below.
The author concluded that produce inhibition to begin at about 250 ˚C was the main reason is that in the wood pyrolysis, volatile precipitation, at the same time a large number of biomass could occur in the coal volatile analysis before the softening melting, then adhesion, covering the surface of coal, coal blockage wool stoma, in both cases can inhibit the volatile matter in coal spillover and diffusion, which play the role of inhibition of coal pyrolysis [10].
In the process of pyrolysis of biomass and coal, biomass, ahead of coal pyrolysis, pyrolysis biomass pyrolysis release a large number of free radicals and small molecular hydrogen, makes coal pyrolysis of a large number of radicals stable low tar and gas molecules, speeding up the coal pyrolysis [11].
About 450 ℃, the curve has a modest rise, it may be due to the wood pyrolysis produced a large number of ash adsorption on the surface of coal particles, hindered the evolution of volatile matter in coal and diffusion, the pyrolysis process of coal to produce inhibition [12].

Given the more significant effect on the shear strength, therefore graphene was successfully coated along the wood grains parallel to its height providing good interfacial adhesion.
Effect of the number of dip-coating to paper.
Hence, the effect of the number of dip-coating cycles was investigated.
Hence, a significant increase in the breaking length of the paper was still observed through the varied number of dip-coatings.
Effect of the number of dip-coating cycles to the breaking length of the paper.

The optimal number of SiO2 and Al2O3 nanopowders in the formulation is 0.5 wt. % that has the strongest effect on ultimate compressive strength and water absorption of the fly ash ceramics samples.
Fly ash contains valuable oxides, such as SiO2, Al2O3, Na2O, K2O, CaO, and MgO, and is considered as an inexpensive fine-grained material in the industry for production of ceramic tiles [4, 5].
Herewith, an increase in the number of SiO2 and Al2O3 nanopowders in the formulation of more than 0.5 wt. % does not lead to a further increase in ultimate compressive strength and is impractical with the technical and economic component of the project.

Laboratory tests, which includes bulk density, specific gravity, grain size analysis, slump and the compressive strength test was carried out on the aggregates and concrete.
Specific gravity of sand and periwinkle Specimen number Sand Periwinkle Bottle number A B C A B Mass of bottle + sample + water M3 95.6 95.7 95.8 1997 1999 Mass of bottle + sample M2 54 54.1 54 1294 1299 Mass of bottle + water M4 83.2 83.2 83.2 1456 1456 Mass of bottle M1 33.9 33.9 33.9 434 434 Mass of water used M3-M2 41.6 41.6 41.6 703 700 Mass of sample used M2-M1 20.1 20.2 20.1 860 865 Volume of sample (M4-M1) - (M3-M2) 7.7 7.7 7.5 319 322 Specific gravity 2.61 2.62 2.68 2.48 2.52 Av.