Then Theorem 2.1 implies that the mapping L : C 1 ( S ¯ T ) ⊃ K → L 2 ( 0, T ; V ) is well defined and unique.
Then z 2, if it is well defined, is the unique mild solution of the following linear stochastic evolution equation: d z 2 ( t ) = A 2 z 2 ( t ) d t + Φ 2 d B H ( t ), z 2 ( 0 ) = 0 ∈ V 2. (3.7).
Motivating question: is it true that for potentials V, for which self-adjoint Schrödinger operator is well defined, the property of unique continuation holds?
Heritage sites are well defined areas that are unique, ecologically fragile terrestrial coastal and inland water and marine, having rich biodiversity.
Proteins are known to take up unique well defined structures that allow them to function efficiently under a given condition.
The main characteristic of a chemical compound is a unique and well defined chemical structure.
Combining this and assumption (A5), the projection Pr F ∩ Sol ( f, C ) x 0 is well defined and there exits a unique point p such that p = Pr F ∩ Sol ( f, C ) x 0. So, we have 0 ≤ 〈 x 0 − x n, x n − p 〉 = 〈 x 0 − x n, x n − x 0 + x 0 − p 〉 ≤ − ∥ x 0 − x n ∥ 2 + ∥ x 0 − x n ∥ ∥ x 0 − p ∥, and hence ∥ x 0 − x n ∥ ≤ ∥ x 0 − p ∥. Then the sequence { x n } is bounded.
Between these two subsets, there is not a unique and well defined subset, but it can be noted that all pairs are characterised by the presence of EIP muscle: the cortical representation of this muscle overlaps with the other forearm and hand muscles in a range between 56% and 67%, reaching the maximum with FDI (72%).
Overall, we have employed for this tissue microarray-based study a unique and well defined, very homogeneous group of CRC patients from a local region in former East Germany.
There is a growing body of evidence to indicate that positron emission tomography with 18-fluoro-2-deoxyglucose (F-FDG-PET) and PET/CT can provide unique information in well defined clinical situations.
They offer several appealing features such as large surface areas with well defined physico-chemical properties as well as unique optical and electrical properties.
