Sentence examples for restrictions of function from inspiring English sources
(1.2) We will look for solutions for problem (1.1) inside the set X = { u ∈ C ( I ˜ ) : u ∈ C 2 ( I − ∘ ∪ I + ∘ ) and L [ u ] ∈ W 2, 1 ( I ) }. (Notice that there is an abuse of notation here, in order to simplify our notation. Of course, the regularity conditions in each subinterval of Ĩ are understood to be referred to the correspondent restrictions of function u).
The Sobolev space (mathbf{H}^{mathbf{s}}(mathbf{0},mathbf{T})) represents the set of restrictions of functions from (mathbf{H}^{mathbf{s}}(mathbb{R})) to ([mathbf{0},mathbf{T}]). Let (phiinmathbf{H}^{mathbf{1}/mathbf{4}}(mathbf{0},mathbf{T})) and (psiinmathbf{H}^{mathbf{3}/mathbf{4}}(mathbf{0},mathbf{T})) with (psi(0)=0) be two functions extended by zero beyond T, that is, for all (s>T) and (s<0).
Eighty-one patients presented complete or almost complete function of the shoulder girdle, while 19 presented slight restriction of function.
Perceived restriction of function: The Funktionsfragebogen Hannover (FfbH-R) consists of 12 items that ask about the patient's capacity to perform daily life activities.
The Jacobi set of two Morse functions defined on a common d-manifold is the set of critical points of the restrictions of one function to the level sets of the other function.
Restriction of functions from a reductive p-adic group G to its compact subgroups defines an operator on the Hochschild and cyclic homology of the Hecke algebra of G.
For arbitrary fixed consider the restriction of functions and on the interval and let Then for.
This can arise when there are multiple sources of heterogeneity, censored or discrete endogenous variables, or inequality restrictions on functions of observed and unobserved variables.
The diagnosis is associated with lifelong restrictions of pulmonary function and increases the risk for abnormal somatic and psychomotor development [2].
More severe restrictions of lung function run a higher risk to develop pulmonary hypertension which is of clinical relevance in up to 25%% of preterms with the diagnosis of BPD [11].
It is caused by the disturbance of physiologic lung development mainly in the saccular stage with lifelong restrictions of pulmonary function and an increased risk of abnormal somatic and psychomotor development.
