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As a solution of a constant coefficient equation, is a sum of characteristic solutions.
If is a nonempty set of characteristic values, then by a characteristic solution corresponding to the set, we mean a finite sum of characteristic solutions corresponding to values.
Let (w z) ) be an entire solution of (1.6) (or (1.7)), (S_{2}(r)) means the sum of characteristic functions of all coefficients in (1.6) (or (1.7)).
According to Corollary 2.4 in [18], the sum of characteristic roots in the open right half-plane can change only if a root appears on or crosses the imaginary axis.
Let ((w_{1} z),w_{2}(z)) ) be a set of meromorphic solutions of (1.2), (S_{1}(r)) means the sum of characteristic functions of all coefficients in (1.2).
This procedure has the advantage that it does not imply any theoretical hypothesis, being based only on two experimental conclusions concerning the heats of transfer Q*tot of 1 1-valent electrolytes in the concentration range up to 0.05M: the additivity rule (Q*tot is equal to the sum of characteristic contributions from the separate ions), and Q*tot depends linearly on m1 1-valent2).
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Up to now, bone quality as the sum of characteristics other than its mass that influence a bone's resistance to fracture has been difficult to assess [21].
One area of interest in evolutional psychology is mate value, which Fisher, et al. broadly defined as "the total sum of characteristics an individual possesses at a given moment and within a particular context that impacts on their ability to successfully find, attract, and retain a mate [ 30] p.157".
The value of a coalition is 1 if and only if the sum of its characteristic vector is larger than that of its complementary coalition, in which case the coalition is called winning.
The most commonly used control chart procedures adopted for Poisson-distributed data include c-charts (Shewhart 19261927), cumulative sum of quality characteristic measurement (CUSUM; Page 19541961; Brook and Evans 1972), and exponentially weighted moving average (EWMA; Roberts 1959; Trevanich and Bourke 1993; Borror and Rigdon 1998); see Woodall (1997) and Montgomery (2008) for more details.
An overall paper score was calculated as the sum of the characteristic scores, for a maximum paper score of 15.
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