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The formula for algorithm B is derived from (3) by splitting the sum into three separate sums: [Math Processing Error]|Fn|=1+∑k=1⌊n⌋\unicodex03C6(k)+∑k∈S\unicodex03C6(k)+∑k∈S¯\unicodex03C6(k), (4) where S is the set of [Math Processing Error]⌊n⌋-smooth ...
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M. B´ona Math. Mag. 70 (1997) 201-203 A New Proof of the Formula for the Number of 3 x 3 Magic SquaresM. Bona, A new proof of the formula for the number of 3 x 3 magic squares, Mathematics Magazine, Vol. 70 (1997), 201-203....
Here S is the subject role, O is the object role, e is the entity (Note that the formula adds a letter subscript to e in order to distinguish between two different arbitrary entities), and → is the property descriptor. That is, we split the usual sense of the S (subject) and...
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Moreover, the external forces such as the bending moment and the air resistance formula have been accounted for. The Lagrange multiplier method, along with the concepts of replacement constraint and supplementary constraint, has been employed to provide a solution for the dynamics of constrained ...
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