The former, expressions of the Momoyama sensibility at its most lyrical, have been attributed to Unkoku Togan (the founder of the Unkoku school), while the latter are by his son Unkoku Toeki.
If it happens that GP finds expressions using a small number of variables with a better fitness value than the ones using all variables, the former expressions survive into the population, while the latter ones are extinguished.
Using (4) in the former expression, we get S = prox γr ( S − γ ∇ f ( S ) ) (6).
If β > α, then the left-hand side of the former expression is increasing in κ, whereas the right-hand side is constant.
The former expression shows that Aristotle has his doubts about the connections between these philosophers and Pythagoras himself.
Substituting in a22 the steady-state condition (26), the former expression becomes: a22 = frac{partial_{dot{psi}}} {partial_{psi}} = frac{r + xi}{(1 - phi)} - frac{(2 - phi) (r + xi)}{phi - 1}.
Step-by-step derivation of (40) hinges on the characterization of E H w m ( x ) H w m ( y ) ∗ and E H w m ( x ) H w m ( y ) ∗ 2. The former expression is given by E H w m ( x ) H w m ( y ) ∗ = E ∑ n, i = 0 L h − 1 h [ n ] h ∗ [ i ] e − j w m x n e j w m y i, (41).
FUNC, the Sum Rule and the Product Rule, as restricted to one measurement context, trivially repeat these definitions, and there obviously is no point in testing, e.g., whether v(A·B) really equals v(A) v(B), if the former expression is defined by the latter.
In addition, the former expression level by the synthetic gels was comparable to the expression level of the cells cultured on the polystyrene surface in the differentiation medium with insulin.
A comparison between effectiveness factors predicted by approximate formulas to those given by the more accurate numerical solutions suggests that these former expressions underestimate the catalyst effectiveness and consequently are safe to employ for initial design estimates.
He calls the former "autosemantic expressions" (autosemantische Ausdrücke) or simply "autosemantica" (Autosemantika), as exemplified by names and sentences of various kinds, whereas he calls the latter "synsemantic expressions" (synsemantische Ausdrücke) or simply "synsemantica" (Synsemantika), as exemplified by particles ("and", "if", etc).
