Sentence examples for means for arbitrary from inspiring English sources

Kant would agree: "Now I say that man, and in general every rational being, exists as an end in himself, not merely as a means for arbitrary use by this or that will: he must in all his actions, whether they are directed to himself or to other rational beings, always be viewed at the same time as an end" [italics added by authors] [ 17].

We consider some means for arbitrary positive real numbers α, β (see, for instance, [34]).

We consider the means for arbitrary positive numbers a, b ( a ≠ b ) as follows.

We now consider the means for arbitrary real numbers α, β.

We consider the means for arbitrary positive numbers α, β ((alphaneqbeta)) as follows: (1) The arithmetic mean A alpha, beta)=frac{alpha+beta}{2}.   (2) The geometric mean G alpha, beta)=sqrt{alphabeta}.

The CS used for distinguishing strong from non-strong interactions is arbitrary but allows a means for distinguishing interactions between TFs and genes.

The necessary use of heuristics for multiple alignment means that for an arbitrary set of proteins, there is always a good chance that an alignment will contain errors.

No subject reported gastrointestinal symptoms or other unpleasant effects after ingestion of the drinks.> -wrap-foot> Dare are presented as mean ± SE; n = 25 (12 women, 13 men) aPre-drink skin blood flux related baseline values, average over 30 s bAU means arbitrary units Changes for SBP, DBP, HR and DP are presented in Fig.  1.

It is meant for large-scale calculations in a basis of orthogonal orbitals for groups of LS terms of arbitrary parity.

Of course the left and right cancelling means exist for an arbitrary ordered family of means as S ∗ ( a, b ) = max ( a, b ), S ∗ ( a, b ) = min ( a, b ).

-- that this didn't mean "an arbitrary date for withdrawal".