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Exact(3)
In the statement of Theorem 1, the value (b=frac{1}{2}) was taken to ease the notation.
It is clear that (mathcal{A}_{1}), (mathcal{A}_{2}), (mathcal{A}_{3}) depend upon (delta > 0), but to ease the notation we will suppress this dependence.
In order to ease the notation, if no confusion arises, we drop · t from the above product, and we simply write mV and mX instead of m· t V and m· t X, respectively.
Similar(57)
To ease the notations we write and The following relation holds: (3.33).
To ease the notations, we shall also say that the single parent of a tree node is its principal parent.
The reason why the reset time is the integer number [ t + τ sep ] instead of the real t + τ sep is that it eases the notations and proofs.
To ease the reading, we thus simplify the notation in the following section and omit the antenna indices.
To ease the comparisons among the various design approaches, a unified notation is used to express all equations.
To ease the comparisons among the various design approaches, a unified notation is used to express all design parameters.
We make the following assumptions on the utility functions (deleting superscripts to ease notation if a condition holds for both partners): Assumption For arbitrary values of l,q,Q we have that 1. lim x ↓ 0 u x ( l, q, Q ) = + ∞ for leisure (x = l), each private good (x = q k ) and each public good (x = Q k ), 2.
Corruption eases the flow.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com