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 ?作為投影矩陣的正交分解的一個(gè)應(yīng)用,獲得了構(gòu)造正交表的分層方法的推廣形式。研究了用正交表兩列的廣義hadamard積構(gòu)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 結(jié)果,構(gòu)造了大量含有多個(gè)6水平列的108次正交表,特別地其中一個(gè)表含有11個(gè)6水平列,而目前含有相同參數(shù)的正交表的試驗(yàn)次數(shù)為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 ?通過(guò)對(duì)投影矩陣正交分解的余項(xiàng)進(jìn)行分析,提出了滿意正交表的概念,給出了滿意正交表的一種判別方法,也就是找到了判定一個(gè)正交表不能添加新列的充要條件
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,而且十分優(yōu)美,它的數(shù)學(xué)理論涉及組合數(shù)學(xué)、有限域、幾何和糾錯(cuò)碼等領(lǐng)域。它的定義簡(jiǎn)單而自然,我們知道它許多優(yōu)美的構(gòu)造,然而也有大量的問(wèn)題尚未解決。
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通過(guò)指出田口的內(nèi)外正交表試驗(yàn)中存在的缺陷,研究分析了替代正交試驗(yàn)的三種方法:綜合噪聲因素法、裂區(qū)試驗(yàn)法和利用結(jié)合表直接建立響應(yīng)模型法。