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Variable sampling interval control chart the number of nonconforming product
1, by (6), we have (.) A 0.898785, check the normal distribution table too. A 1.27,[link widoczny dla zalogowanych], the resultant Pl2 a (,. A) I (1.27-0.5) a (0.77) a 0.7794PI1 a (,. A) I (,. A) a (2 .5) a (0.77) a 0.99379-0.7794-0.21439 when the np-np. , By (4) and (5), we have P. l A (r) A (.) a (3) a (1.27) a 0.99865-0.898785-0.099865Po2 a (.) a (1.27) the above values of a 0.898785 generation (10), we have E (7.) a 142.06. Table 1 for different intervals (, d), and lists the corresponding value of FSI and VSI chart diagram E (71) value. (Continued on page 69) a - ■ Web - ridicule Bin Factory No. 1 Wang Hangping: finite dimensional linear space of differences with the infinite dimensional unit matrix 69 of infinite order), while BA ≠ E a note that the A ,[link widoczny dla zalogowanych], B is not invertible, since A, B are not reversible transformation. Six differences in the finite dimensional linear space, linear transformation B in the range of nuclear and space equal. That BVNB (0) a {0} iii B + B (0) a V, but in the infinite-dimensional linear space is not necessarily. Example 6: V-Factory () ∈ rFx], define Bf (x) a xf (x), then B (0) a {0}. Obviously lY, FEx] + B (O) (== FEx], because F (z = BV + B (0). Difference is the number field F A seven dimensions on the linear space linear transformation is A invariant subspace, if A exists, it is A invariant subspace. But this conclusion on the infinite dimensional linear space Q is not necessarily true. Example 7 breaking] a {Σ + Σb household, one b ∈ ' ,, J ∈ N}. We can define an appropriate operator,[link widoczny dla zalogowanych], so B] a number field F on the vector space. and let Af (x) a xf (x), - factory () ∈ Fix] 1A A - Plant ( ) a ÷ - factory (), take W-Fix], you AFIx] (== Fix], but AFix] ==) Fix] so the W-Fix] is not A the invariant subspace. 【References [I ] Department of Mathematics,[link widoczny dla zalogowanych], Peking University, Department of Algebra and Algebraic Geometry group. Higher Algebra 2 [M]. Beijing: Higher Education Press, 1988. [2] Zhang Herui, Hao Ping-new. Higher Algebra 2 [M]. Beijing: People Education Press, 1979. [3] Yao Musheng. Higher Algebra [M]. Shanghai: Fudan University Press, 1999. [4] Meng Tao Ji. Higher Algebra and Analytic Geometry [M]. Beijing: Science Press, 1998. [ ,],[E (T) value of the comparison can be seen from Table 1, 6 conclusions, when np changes VSI chart signals, the average time shorter than the corresponding FSI chart, indicating the effectiveness of VSI charts have larger; On the other hand, the VSI chart, when d or d is fixed, if the increased gap between d and d, the average signal time decreases, the discovery process more quickly out of control. On the contrary, the average time to signal a corresponding increase, which will in practice (, d) take (O.3, 1.3) or (O.1, 1.3) better. Furthermore, [5] proved that when the value of ≠. when the VSI chart in the average use of more multiple areas,,, corresponds to the larger E (D) values, the number of nonconforming product control charts have the same results, therefore, should take the two sampling intervals is appropriate. 【Reference】 Min-Hua Wang. Zhang Weiming. in a fixed time Variable Sampling Interval sampling sided control charts [J]. Zhejiang Institute of Technology, 2000 (1) :51-55. Zhang Weiming. Statistical Quality Control Theory and Applications [M]. Hangzhou: Zhejiang University Press .1992. Zhang Weiming, Min-Hua Wang. in a fixed time sampling of the extreme value of variable sampling interval control charts [J]. Statistics and Management, 2001 (1) :7-11. Zhang Weiming. Variable Sampling Interval Control Charts [J]. Mathematics in Practice and Theory, 1991 (2) :8-15. REYN () lJDR,[link widoczny dla zalogowanych], RWAMIN, eta1.Chartswithvari-ablesamplingintervals [J]. Technometrics, 1988,30 (2):】 81192 .]]]]] n mouth
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