Proposition 1. Assuming the existence and the uniqueness of the minimizer for the functional (2.1), there exists a complementary variational principal for (2.1).
In 1927, the year that Heisenberg announced his "uncertainty principle," Niels Bohr also described the "principle of complementarity" for quantum systems: for every measurable quantity there exists a "complementary" measurable quantity.
In this analysis step, it can be determined if there exists a complementary region between the selected siRNA sequences and the mRNA transcripts.
Given a screen distribution S ( T M ), there exists a unique complementary vector bundle tr ( T M ) to TM in T M ˜ | M. Using (2.4) and (2.5), there exists a local quasi-orthonormal frame field of M ˜ along M given by F = { ξ, N, L, W a }, a ∈ { 1, …, m }, (2.6).
Then, there exists a set of complementary projections on such that (2.21).
We shall suppose that Then, there exists a set of complementary projections on such that (4.8).
Gross negligence manslaughter exists as a complementary form, and, if a driver was sufficiently negligent, as well he might, he would be liable for it.
External evidence alone cannot influence any decisions – it always exists in a complementary relation to context-specific framing conditions, ethical principles and other decision-theoretical elements.
In particular, we prove that if there exists a vertex-transitive self-complementary k-uniform hypergraph of order n, where k="2ℓ or k="2ℓ+1 and n≡1(mod2ℓ+1), then the highest power of any prime dividing n must be congruent to 1 modulo 2ℓ+1.
"There has been a noticeable rise in the number of convenience stores, suggesting time-pressured consumers are increasingly expecting the high street to play a different role, providing services that can exist as a complementary offering alongside internet shopping," said Jenkings.
Demand responsive transportation services are needed, e.g. in remote rural areas, where no general public transportation systems exist, as a complementary service to available public transportation systems for the elderly or disabled, or in the area of patient transportation to and from hospitals and other medical facilities.
