Sentence examples for denoted without from inspiring English sources

In the figures and tables, the results denoted without MTA are the results of the original object tracking tree affected by the changed mobility profile.

However, the term 'proton' is sometimes used loosely and metaphorically to refer to positively charged or cationic hydrogen attached to other species in this fashion, and as such is denoted "" without any implication that any single protons exist freely as a species.

This version has more drastic monetary changes than in the original version (the original decks are denoted without dashes).

Notations are the same as those used in the compartmental description, except for the "per compartment" parameters (cdc, gec, gic, gldc) that are now replaced with corresponding "per unit length" parameters, denoted without the subscript 'c': cd, ge, gi, gld (and the corresponding resistances re, ri, rld).

Kripke's aim is first to restate a Millian view of proper names (they denote without connoting) and then to extend that view to natural kind terms.

('Millian' will be used to characterize any account of the semantics of a term that claims that it denotes without connoting, even when applied, pace Mill, to kind terms).

To see that, we consider the subsequence of all viable admissible discontinuity curves in the conditions of Case 3, which we can denote without loss of generality by ({gamma_{n}}_{n in{scriptsize mathbb {N}}}).

Since Σ is compact, the sequence { ( λ n, μ n ) } n = 1 ∞ has a convergent subsequence which we denote without loss of generality still by { ( λ n, μ n ) } n = 1 ∞ such that lim n → ∞ λ n = λ ∗, lim n → ∞ μ n = μ ∗. and at least λ ∗ > 0 or μ ∗ > 0. Case (I).

Initially, we determine an upper bound of a real-time user's parameter, denoted as   , without considering the satisfaction of condition (A.1).

In this subsection we describe the rules for the management of the calculation of the compensation prcomp fee (which is again agent specific but denoted here without lower index) received by the PU recipients from the side of insurance provider.

This means that the gpj's yielded by any stimulus, except the largest, are nearly equal across compartments, so that, with a good approximation, the conductance of any compartment can be denoted gp (without subscript j).