Sentence examples for points of type from inspiring English sources

Furthermore, a separate interpolative procedure is proposed which permits a final separation of points of type (a) from points of type (b) and (c).

Therefore, by (3.1), (3.4), and (3.6), the integer points of type (i) are given.

Fixed points of type (i) shown in Fig. 1(a) gain another negative eigenvalue.

Regarding the fixed points of type (ii) that exist for (N=infty) as analysed in Sect.

Therefore, by (3.6) and (3.8), we obtain the integer points of type (ii).

Combining of (3.14) and (3.15), we get the integer points of type (vii).

Therefore, by (3.1), (3.3), and (3.4), we obtain the integer points of types (v) and (vi).

Therefore, by (3.6) and (3.8), we obtain the integer points of types (iii) and (iv).

For p ≡ 1 ( mod 8 ), let N 1 and N 2 denote the number of pairs of non-trivial integer points of types (i) and (ii) in Theorem 1.1, respectively.

For p ≢ 1 ( mod 4 ), let N j ( j = 4, 5, 6, 7 ) denote the number of pairs of integer points of types (iv), (v), (vi), and (vii) respectively.

The present study further demonstrates the feasibility of an end point of type (2) and demonstrates the feasibility and practicality of clinical trials based on end points of types (3) and (4).