Sentence examples for elements of appropriate from inspiring English sources

Such defects, called aberrations, can be eliminated and even then not completely only by replacing the single lens element by a group of elements of appropriate shape and separation.

When the database receives a query, the database returns the XML file which includes all elements of appropriate metadata for ATOM1.0 format.

(1) where (sigma ( t ): Re^ to underline{N} = { 1, 2,ldots, N }) is a right continuous piecewise constant mapping, called the switching signal, N is the number of subsystems, (x ( t ) in Re^{n}) is the state, (A_{sigma ( t )} (cdot )) and (D_{sigma ( t )} (cdot )) are matrices with nonlinear elements of appropriate dimensions.

Landscape and accent elements of appropriate weight or tenacity, such as trees or statuary, can also be used if they are available and it makes sense to use them.

Provide consistent training on the measurement system and reporting expectations to funded ROs and COs that includes an overview of the measurement strategy, its purpose and goals and expected uses of the data; definitions of data elements; identification of appropriate data sources and measures; a system for reviewing data quality; and how to use the data for programme improvement.

We consider Toeplitz operators with symbol in a C*-algebra A carrying an action α of R. We prove that when A has an R-invariant trace τ, the Toeplitz operators with invertible symbols are Fredholm elements of an appropriate von Neumann algebra, and give a formula for their Breuer index in terms of τ and the infinitesimal generator of the one-parameter automorphism group α.

It states that written consent 'merely serves as evidence of consent; if the elements of voluntariness, appropriate information and capacity have not been satisfied, a signature on a form will not make the consent valid'.

In Klein's approach each geometry is a (connected) manifold endowed with a group of automorphisms, that is, a Lie group \(G\) of "motions" that acts transitively on the manifold, such that two figures are regarded as congruent if and only if there exists an element of the appropriate Lie group \(G\) that transforms one of the figures into the other.

Indeed, it is only when the single operator A is viewed as an element of an appropriate C*-algebra A that one can see the precise nature of the limit of the n × n eigenvalue distributions; the limit is associated with a tracial state on A. Normally, A is highly noncommutative, and in our main applications it is a simple C*-algebra having a unique tracial state.

The basement membrane adhesion "molecule" is a conceptual construct representing a cell's adhesion to the basement membrane in order for it to be used as input to the gene network, and simply is the summation of the z-coordinate distance for each subcellular element of the appropriate type C1.

Thus, the development of a single tool assessing all elements of HAE attacks appropriate for use within the IOS was undertaken.