Everything we create is always on a trial basis in the sense that we regularly look at how things are working and how people are using them, and adjust as necessary.
This set is also a basis in the sense that the trace of every dyadic field on a cylindrical surface can be represented as a countable superposition of dyadic cylindrical harmonics.
As, for example, the set { ( 1, 0, …, 0 ), ( 0, 1, 0, …, 0 ), …, ( 0, 0, …, 1 ) } is a strongly orthonormal Hamel basis in the sense of Birkhoff-James in l 1 ( R n ), but not in l ∞ ( R n ).
Let Open image in new window denote a complete stochastic basis in the sense of Jacod and Shiryaev (2003, Def. I.1.3), where (mathbb F=(mathcal {F}_{t})_{tin [0,T]}) and T∈[0,∞) denotes the time horizon.
The notion that cognition has its basis in the sense rather than the object is of tremendous philosophical import for the Sautrāntika and Yogācāra Schools, whose philosophical perspectives are best described as phenomenalism.
While these numbers are correct on an apples-to-apples basis (in the sense that certain types of searches – e.g. contextual shortcuts and slide-shows – are being counted consistently across properties), the trending data for which we think comScore is most useful shows a different picture.
But it, too, applied that finding on a prospective basis only, in the sense that it declined to declare the State's application of the statute unconstitutional for the years in question.
It is argued that palatalization effects in Polish have no phonological basis in the generative sense.
This representation of correction features as Gaussian blobs is actually not a basis in the mathematical sense: some images cannot be represented by a linear combination of Gaussians.
Lyapunov-based control is an attractive strategy for semi-active vibration control as it has a mathematical basis ensuring stability in the sense of Lyapunov and great flexibility in the design.
The European ballot boxes, opened on Sunday night, are a sounder basis for projection in the sense that the whole of the UK had MEPs to elect, but seeing as the Euro-parliament is so remote and poorly understood, these elections have been heavily prone to protest voting, from the great Green surge of 1989 onwards, which disappears by the time of the real contest.
