Sentence examples for illustrates definition from inspiring English sources

Consequently, the X-fmidconvex hull of A is the smallest X-fmidconvex set containing A. The example below illustrates Definition 2.12 and shows that an X-midconvex hull and an X-fmidconvex hull of a given set are, in general, different.

Now, we give the following example to illustrate Definition 2.7.

We say that T is an α-λ-contraction if there exist (alpha: Xtimes Xrightarrow[0,infty)) and (lambda: Xrightarrow [0,frac{1}{satisfyingfying (lambda(Tx leqlambda(x)) for all (xin X), such that alpha x, y q(Tx,Ty) leqlambda(x) q x, y), (4) for all (x, y in X). The following examples illustrate Definition 1.9.

The children looked up their words in the dictionary, then wrote and illustrated definitions.

Figure 1 illustrates the definition of a locally stationary time series.

Figure 1 illustrates the definition of the size of zigzag and armchair graphenes.

The schematic drawing in Fig. 3c illustrates the definition of these magnitudes.

To exemplify this procedure, Figure 3 illustrates the definition of all the angles corresponding to the entries of the generic order-4 transform kernel (N=4) presented in (1).

Shannon introduced the equivocation function as a measure ofhow much a cryptanalyst is uncertain of the plaintext observing a set of ciphertexts.Figure 1 illustrates the definition above.

The Manual of Reason defines it as 'the absence of incompatibility among what is signified by the words', and illustrates its definition by contrasting the sentence "He sprinkles the field with water" with "He sprinkles the field with fire".

It is used to determine the geomorphic stages of development of a watershed and expresses simply how the mass is distributed within a watershed from base to top. Figure 5 illustrates the definition of two dimensionless variables involved in hypsometric analysis.