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k is the number of factors, v is the number of levels, t is the strength, and λ is the index. The definition of strength leads to the parameter relation N = λv t. An orthogonal array is simple if it does not contain any repeated rows. (Subarrays of t columns may have repeated rows, as in the OA(18, 7, 3, 2) example pictured in this section.)
This is a table of Clebsch–Gordan coefficients used for adding angular momentum values in quantum mechanics. The overall sign of the coefficients for each set of constant j 1 {\displaystyle j_{1}} , j 2 {\displaystyle j_{2}} , j {\displaystyle j} is arbitrary to some degree and has been fixed according to the Condon–Shortley and Wigner sign ...
In practical design, it is recommended to increase the factors as shown above. The following assumptions are made while deriving Euler's formula: [3] The material of the column is homogeneous and isotropic. The compressive load on the column is axial only. The column is free from initial stress. The weight of the column is neglected.
Let the failure strength in uniaxial tension and compression in the three directions of anisotropy be ,,,,,. Also, let us assume that the shear strengths in the three planes of symmetry are τ 23 , τ 12 , τ 31 {\displaystyle \tau _{23},\tau _{12},\tau _{31}} (and have the same magnitude on a plane even if the signs are different).
The Bulgars, at least the Danubian Bulgars, had a well-developed clan and military administrative system of "inner" and "outer" tribes, [112] governed by the ruling clan. [113] They had many titles, and according to Steven Runciman the distinction between titles which represented offices and mere ornamental dignities was somewhat vague. [114]
The early Bulgars were a warlike people and war was part of their everyday life, with every adult Bulgar obliged to fight. The early Bulgars were exclusively horsemen: in their culture, the horse was considered a sacred animal and received special care. The supreme commander was the khan, who mustered the army with the help of the aristocracy.
The Bulgars retaliated, and under the leadership of Isbul, the minister of Malamir, they reached Adrianople. At this time, if not earlier, the Bulgars captured Philippopolis and its environs. Several surviving monumental inscriptions from this reign make reference to the Bulgar victories and others to the continuation of construction activities ...
In this way, the Wilks Coefficient places a greater emphasis on absolute strength, rather than ranking lifters solely based on the relative strength of the lifter compared to body-weight. This creates an even playing field between light and heavyweight lifters—the lighter lifters tend to have a higher relative strength level in comparison to ...