Based on the laser ablation mechanism, the effect of vapor pressure and thermal conduction on the quality of pattern etching in direct etching with an excimer laser is analyzed. The optimal combinations of laser energy density, pulse frequency and repetition number are obtained for Al thim film of various thicknesses. For Talbot imaging, the effect of contrast on the quality of the pattern etched is also discussed.

In addition, the author explained how to determine the optimal combinations of the ingredients in the concrete which met the need of high-performance by adjusting the relationship between short-term strength and long-term strength of concrete according to the different mixing ratio of slag, fly ash, superplasticizer and water-binder ratio.

In order to determine the optimal combinations of environmental factors for promoting photosynthesis of cucumber in greenhouse,this experiment was made to analyze the net photosynthesis rate of cucumber leaves under different combinations of temperature,light intensity and CO2 concentration.

Conclusion The combination of FL+SCF+IL 3+IL 6+TPO+G CSF might be one of the optimal combinations for significant expansions of CFU GM and CFU Mk simultaneously.

(2) In all seawater treatments the Helianthus tuberosus' main stem got longer and thicker with the increase in N and P. (3) Analysis of the interactions of seawater,N and P showed that Treatments W_(2)N_(3) and W_(2)P_(3) were the optimal combinations.

The Taguchi experimental design has been applied to investigate the optimal combinations of process parameters to maximize the material removal rate and minimize the tool wear.

On the basis of the evaluation, the optimal combinations of processing parameters are found.

On the basis of the evaluation, the optimal combinations of processing parameters are found.

Fine, equiaxed, two-phase microstructures and high deposit density resulted from optimal combinations of droplet enthalpy, deposition rate, droplet size, and deposit cooling rate which gave short local solidification times.

We analyze the values of toughness for low-, medium-, and high-strength steels and propose optimal combinations of the strength and toughness characteristics of metals.

It is often the case that technology demands an accurate multi-step change of the speed ratio between various parts of machines, textile machines in particular. A great many change gears are, as a rule, necessary for this purpose. It is desirable to minimize the number of such gears. In this paper, a method for determining the optimal combinations of the tooth number series in a set of change gears is proposed, with which the number of gears is decreased to a minimum with the precision and number of steps...

It is often the case that technology demands an accurate multi-step change of the speed ratio between various parts of machines, textile machines in particular. A great many change gears are, as a rule, necessary for this purpose. It is desirable to minimize the number of such gears. In this paper, a method for determining the optimal combinations of the tooth number series in a set of change gears is proposed, with which the number of gears is decreased to a minimum with the precision and number of steps of the speed ratio remaining unchanged. The proposed combinations are supported by mathematical proof.This is the first of a series of reports. It deals with the regularity of distribution of the speed ratio series when a definite number of change gears are used. A table illustrating optimal combinations of the D. B. L. of the tooth numbers with corresponding goars numbers up to 20 in a set is presented. (See table 5)Let z_i be the tooth number of the i-th gear in a set of n gears, z_1>z_2……>z_n. The speed ratio between certain machine parts is determined by the formula:I_(i,j)=z_i/z_jThe D. B. L. of the tooth numbers in a set of change gears is defined as:a_(i,j)=log_φI_(i,j)= log_φz_i-logφz_jWhere φ——the common ratio of each succesive pair of steps of the changeable speed ratios. There are 3 kinds of sets A with elements a_(i,j):1) Full sequenceA={1, 2, 3,……(?),M}Where M=n(n-1)/2.It is possible only when n≤4.2) Sequence with repetitionA={1,2,3……(?)d; h_1, h_2……h_d}Where h_i, h_2, h_a h_d<(?).If h_1, h_2,……h_d>(?), then set A is defined as3) Sequence with "broken tail" (interruption towards the end of the sequence).(Shown in Fig. 1)When n>4, repetition or "broken tail" in the sequence is inevitable. It is optimal to find proper combination of z_i of n-set to give maximum (?), or minimum repetition or interruption in the sequence.Some results for this purpose are given with examples. Data of comparison between this method and the method currently used in selecting the tooth number series are shown in table 6.

The problem in practice of determining the proper combination of z_i in a set of n change gears may be abstracted to the problem of finding the proper combination and permutation of the elements a_(i,i+1) of the set A_1 of the F. O. D. B. L. to give maximum M - d (Notations are the same as in Part Ⅰ). In part Ⅰ, we have given some results to find optimal combination of the elements of the Set A_1. In this part some rules for permuting these elements are introduced. 3 kinds of intercalated sets...

The problem in practice of determining the proper combination of z_i in a set of n change gears may be abstracted to the problem of finding the proper combination and permutation of the elements a_(i,i+1) of the set A_1 of the F. O. D. B. L. to give maximum M - d (Notations are the same as in Part Ⅰ). In part Ⅰ, we have given some results to find optimal combination of the elements of the Set A_1. In this part some rules for permuting these elements are introduced. 3 kinds of intercalated sets of the F. O. D. B. L. have been found: 1. Set A_1 with even left wing (table 10); 2. Set A_1 with coincidence of both wings (table 12); 3. Set A_1 with circulated elements (table 13). In the given example, a set of 12_(+1) change gears (instead of 33 for current machines) are enough for ring spinning frames to give draft from 9.71 to 41.2 in 101 steps with step difference<2.2%, and another set of the same amount of change gears (instead of 19 for current machines) for the same machine to give twist from 190 t/m to 1314 t/m in 101 steps with step difference<3%. This method is practical and may be used for designing sets of change gears for any kind of machines (not merely confined to textile machinery). The analyses made in the paper may perhaps be useful in studying combinatorial mathematics.

This paper introduces an optimal design of coaxial cable carrier system.The various parameters,such as:preemphasis characteristic,feedback characteristic,transmitting level,etc., have been considered.The optimal combinations of values of these parameters are obtained by means of digital computers. First,the author describes the principal formulas and its numerical methods of noise calculation. Secondly,the simplex method is adopted to obtain the minimum point of noise power.Finally,a sea- rch along the...

This paper introduces an optimal design of coaxial cable carrier system.The various parameters,such as:preemphasis characteristic,feedback characteristic,transmitting level,etc., have been considered.The optimal combinations of values of these parameters are obtained by means of digital computers. First,the author describes the principal formulas and its numerical methods of noise calculation. Secondly,the simplex method is adopted to obtain the minimum point of noise power.Finally,a sea- rch along the valley line to get the optimal values of various parameters has been made. Program ODCCS contains three major parts:subroutine of noise calculation-NOISE;subroutine of simplex method-SIMPLEX;subroutine of search along the valley line-SAV.All of these are written in BASIC-Ⅱ language.