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The simplest form of a group-contribution method is the determination of a component property by summing up the group contributions : [] = +.This simple form assumes that the property (normal boiling point in the example) is strictly linearly dependent on the number of groups, and additionally no interaction between groups and molecules are assumed.
This formula can be verified by counting how many times each region in the Venn diagram figure is included in the right-hand side of the formula. In this case, when removing the contributions of over-counted elements, the number of elements in the mutual intersection of the three sets has been subtracted too often, so must be added back in to ...
Indeed, the formula transforms the original 2×2 table in a crosswise symmetric table wherein b = c = 1 and a = d = √ OR. For a crosswise symmetric table with frequencies or proportions a = d and b = c it is very easy to see that it can be split up in two tables.
where θ t is the class function of t −1 Ht defined by θ t (t −1 ht) = θ(h) for all h in H. There is a similar formula for the restriction of an induced module to a subgroup, which holds for representations over any ring, and has applications in a wide variety of algebraic and topological contexts.
The group's total payoff is maximized when everyone contributes all of their tokens to the public pool. However, the Nash equilibrium in this game is simply zero contributions by all; if the experiment were a purely analytical exercise in game theory it would resolve to zero contributions because any rational agent does best contributing zero, regardless of whatever anyone else does.
Contribution margin analysis is a measure of operating leverage; it measures how growth in sales translates to growth in profits. The contribution margin is computed by using a contribution income statement, a management accounting version of the income statement that has been reformatted to group together a business's fixed and variable costs.
Various constructions of t-norms, either by explicit definition or by transformation from previously known functions, provide a plenitude of examples and classes of t-norms. This is important, e.g., for finding counter-examples or supplying t-norms with particular properties for use in engineering applications of fuzzy logic .
Contribution (law), an agreement between defendants in a suit to apportion liability Contributions, a vital goal of fundraising Contribution margin , the selling price per unit minus the variable cost per unit