ISBN-10: 3642105912
ISBN-13: 9783642105913
ISBN-10: 3642105920
ISBN-13: 9783642105920
В сборник включены работы методологического характера, посвященные вопросам построения планов эксперимента и оценки параметров моделей как (Линейных по параметрам, так и нелинейных по параметрам. В некоторых работах приводятся и результаты конкретных исследований. Публикуемые работы можно рассматривать как материалы, отражающие деятельность регулярно проводимых школ и общемосковского семинара «Планирование эксперимента и анализ данных», функционирующего уже почти в течение 15 лет. Сборник ВК-71 издается как информационные материалы Научного совета по комплексной проблеме «Кибернетика».
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Example text
59 To construct KV^ lay off AKU equal KU =:KV^ toX^ti^s AKV^ Make whence KU^ = KV^. VC If we . . VG=(-1)^ÂÛ. consider VA, VB, . .
N proposed decomposition, we conclude that, if A and A' are of the order a, B and B' of another order b, and We have the equation A4-B=A' + B', then A=A', B=B 11. Let us now pass to the multiplication of directed lines, and let us first (Fig. 7), construct the product effect the . T^xKC the factors being units, but not prime units. Construct the angle CKD=AKB. 41 From what was we have KA KB KA x"kI)=:KB x"KC : : : KC KD, : but ; KB x KC = KD^ hence Note I, whence said in No. 4, Kl= + Therefore, 1, to construct the product of two directed radii, lay off, sum from the origin of arcs, the of the arcs corresponding to each radius, and the extremity of the arc thus determine the j^osition of the laid off will radius of the product logarithmic this, as before, is ; multiplication.
We of the with KÂ7 KBT • . ' . Kâ . /, whence IkC ^u^, u\ . . , and 11^^ = {\in)'rr^—\rf^ — \ but hence i/^S=S, and (w^^* — l)S = o. If z<^=:l, this is an identical equation, without meaning; but, in this case, ^2m_ 1^ u'^m— \^ hence S=7?. In ; . other cases S all — o. the we denote by P', P", P'", sum of the first, second, Tith powers 7T', U'\ n"\ If . . . , 77(«) . , . P(^> . , and by of given quantities, . . sum the of the products of the same quantities taken one and one, two and two, n, it is well known yiiK'^) =P'7I(^-i) .