And we provide a general approach to construction of mixed - level orthogonal arrays by using generalized hadamard product of two columns of an orthogonal array based on orthogonal decomposition of projection matrix ?作为投影矩阵的正交分解的一个应用,获得了构造正交表的分层方法的推广形式。研究了用正交表两列的广义hadamard积构造混合水平正交表的方法。
As the result , a lot of orthogonal arrays of run sizes 108 with many 6 - level columns are constructed , especially including one array with 11 6 - level columns , however , the existing orthogonal array with the same parameters has 288 mns 结果,构造了大量含有多个6水平列的108次正交表,特别地其中一个表含有11个6水平列,而目前含有相同参数的正交表的试验次数为288 。
A general method for constructing orthogonal arrays based on normal mixed difference matrix is presented . and some new orthogonal arrays are obtained . the remaining item of orthogonal decompositions of a projection matrix i ?通过对投影矩阵正交分解的余项进行分析,提出了满意正交表的概念,给出了满意正交表的一种判别方法,也就是找到了判定一个正交表不能添加新列的充要条件
Orthogonal arrays are related to combinatorics , finite fields , geometry and error - correcting codes , etc . the definition of an orthogonal array is simple and natural , and we know many elegant constructions - yet there are at least as many unsolved problems 正交表不但非常有用,而且十分优美,它的数学理论涉及组合数学、有限域、几何和纠错码等领域。它的定义简单而自然,我们知道它许多优美的构造,然而也有大量的问题尚未解决。
Through pointing out the limitations of taguchi outer / inner orthogonal array experiment method , it has been studied that three methods : comprehensive noise factors , split - plot experiment and direct modeling of response using combined arrays , are alternatives to the orthogonal array design 3通过指出田口的内外正交表试验中存在的缺陷,研究分析了替代正交试验的三种方法:综合噪声因素法、裂区试验法和利用结合表直接建立响应模型法。
19 sugimoto n et al . thermodynamic parameters to predict stability of rna dna hybrid duplexes . biochemistry , 1995 , 34 : 11211 - 11216 . 20 sun z , xia x , guo q , xu d . protein structure prediction in a 210 - type lattice model : parameter optimization in the genetic algorithm using orthogonal array 在e . coli中,通过优化rna发夹结构u -尾部u分布和u -尾部杂交能量这三种参数, rnall法能检测出92 . 25 %已知的不依赖终止子,同时舍弃98 . 48 %编码区间的rna二级结构阴性对照。
By applying the generalized hadamard product and difference matrix to orthogonal decomposition of projection matrices , further results on the orthogonal arrays obtained by the generalized hadamard product are presented . several classes of orthogonal arrays having more columns than the existing arrays are obtained ?把正交表的广义hadamard积和用差集矩阵构造混合水平正交表的方法联合起来应用到投影矩阵的正交分解中,使得所构造的正交表具有更多的列。
By using the theory of finite fields , the relationship of module operation among difference matrices of a mixed difference matrix is generalized to that of group homomorphism . a new concept of normal mixed difference matrix is proposed . the relationship between normal mixed difference matrix and the construction of orthogonal arrays is discovered ?利用有限域理论,把不同水平差集矩阵之间的取模运算关系推广为更加广泛的群同态关系,提出了标准混合差集矩阵的概念,找到了标准混合差集矩阵和混合水西安电子科技大学博士学位论文:正交表的构造方法及其应用平正交表的构造之间的关系,提出了利用标准混合差集矩阵构造正交表的方法且构造了一些新的正交表
Taked ratio of joined water on emulsions , quantify on emulsification and different emulsified technics as factor , 10 % , 20 % , 30 % and 40 % ratio of joined water , 0 . 5 % and 1 % quantify on emulsification , two kind of emulsified technics of diesel oil added emulsification and water added emulsification as level , emulsion of eight kind different mixing ratio that are performed through rig test and smoke test is prepared by using the method of orthogonal array 以乳化油的掺水比例、乳化剂的添加量和不同的乳化工艺方法为因素,分别选择10 、 20 、 30和40的掺水比例, 0 . 5和1的乳化剂添加量以及油+乳化剂和水+乳化剂两种工艺方法为水平,采用正交试验设计方案,配制了8种不同比例的乳化油,进行发动机台架性能试验和烟度检测。
Based on the technical parameters , quality matter and character of polymeric materials and its products , the statistical method such as orthogonal array design , pareto diagram , histogram , significance testing , fuzzy mathematics have been used to carry out a series of study . by doing so , the inherence relationship and variance property , degree and reason of polymeric materials and its products have been obtained ; it could get better improved by adopting correcting measure 本论文以高分子材料及其制件的工艺参数、质量问题和质量特征值为研究对象,利用正交实验设计、调查表、因果图、排列图、直方图、控制图、故障树( fta ) 、显著性检验、相关分析以及模糊数学评定法等多种统计技术方法,从不同角度进行了一系列探索性研究,得到了高分子材料及其制件内在关系及变异的性质、程度和原因,采取了纠正措施并取得了较好的效果。