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These designs can be augmented with positive and negative "axial points", as in central composite designs, but, in this case, to estimate univariate cubic and quartic effects, with length α = min(2, (int(1.5 + K/4)) 1/2), for K factors, roughly to approximate original design points' distances from the centre.
A thesis (pl.: theses), or dissertation [note 1] (abbreviated diss.), [2] is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings. [3]
Thus, the lengths of JIS B series paper are √ 1.5 ≈ 1.22 times those of A-series paper. By comparison, the lengths of ISO B series paper are 4 √ 2 ≈ 1.19 times those of A-series paper. Any Bn paper (according to the ISO standard) can be defined as Bn = S × L, where (measuring in metres)
The loss function for folding paper in half in a single direction was given to be = (+) (), where L is the minimum length of the paper (or other material), t is the material's thickness, and n is the number of folds possible. [42]
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In his 1952 book The Creation of the Universe, Gamow explained Hans Bethe's association with the theory thus: [2] The αβγ paper with the figure referred to in the text. The results of these calculations were first announced in a letter to The Physical Review, April 1, 1948. This was signed Alpher, Bethe, and Gamow, and is often referred to ...
Gorenstein and Lyons's proof for the case of rank at least 4 was 731 pages long, and Aschbacher's proof of the rank 3 case adds another 159 pages, for a total of 890 pages. 1983 Selberg trace formula. Hejhal's proof of a general form of the Selberg trace formula consisted of 2 volumes with a total length of 1322 pages. Arthur–Selberg trace ...
This is the smallest value for which we care about observing a difference. Now, for (1) to reject H 0 with a probability of at least 1 − β when H a is true (i.e. a power of 1 − β), and (2) reject H 0 with probability α when H 0 is true, the following is necessary: If z α is the upper α percentage point of the standard normal ...