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The geometric condition that our underlying domain should be hyperconvex is to ensure that we have a satisfying quantity of plurisubharmonic functions.
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This is where the difficulty of satisfying quality and quantity criteria affects couples most.
Why risk money on mysterious unpronounceable bottles when so many good, satisfying known quantities are available?
Throughout, we denote by a quantity satisfying (2.6).
The notation is defined to be any quantity satisfying as possibly outside a set of of finite linear measure.
By S ( r, f ), we denote any quantity satisfying S ( r, f ) = o ( T ( r, f ) ) as r → ∞, possibly outside a set of r with finite linear measure.
For any non-constant meromorphic function f ( z ), we denote by S ( r, f ) any quantity satisfying S ( r, f ) = o ( T ( r, f ) ) ( r → ∞, r ∉ E ).
Let (S r,f)) denote any quantity satisfying (S r,f) = o (T r,f) )) for all r outside a set of finite logarithmic measure.
We denote by S ( r, f ) any quantity satisfying S ( r, f ) = o ( T ( r, f ) ), as r → + ∞, possibly outside of a set with finite measure.
(O (varepsilon )) denotes a quantity satisfying (|O varepsilon)| /varepsilonleq C), (o varepsilon)) means (|o varepsilon)|/varepsilonrightarrow0) as (varepsilonrightarrow0) and (o (1 )) is a generic infinitesimal value.
We also denote by S ( r, w ) any quantity satisfying S ( r, w ) = o ( T ( r, w ) ) for all r outside of a set with finite logarithmic measure.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com