Sentence examples for and the notation of from inspiring English sources

and the notation of the type indicates trial value of.

We mainly use the terminology and the notation of [6] and [7].

The purpose of this paper is to prove some fixed point theorems with respect to w-distances in partially ordered metric spaces employing altering functions and the notation of a function involving Meir-Keeler type.

Note that readily implies Thus without loss of generality, assume In the sequel, let denote a positive constant whose value possibly varies from place to place and the notation of means the integer part of.

For A ∈ ℝ n × m, we write A ≽ 0 ≼ 0, ≻ 0, and ≺ 0 to indicate that all elements of matrix A are nonnegative (non-positive, positive, and negative) and the notation of matrices will be used throughout this brief: A = [a lg ] and A i = [ a l g ( i ) ] ⋅.

A supplementary test probing knowledge of key signatures and the notation of the clef was administered to W.W. and healthy musicians.

For improving this problem, Deschrijver et al. [5] modified the concept of intuitionistic fuzzy normed spaces and introduced the notation of ℒ-fuzzy normed space.

Next Deschrijver et al. [4] modified the concept of intuitionistic fuzzy normed spaces and introduced the notation of ℒ-fuzzy normed space.

The detailed outline of this work reads as follows: In Section 2.1, we state our model problem and fix the notation of the integral operators involved.

We modify the model of Halpern and Bruno (1998), and we use the notation of Yang and Nielsen (2008).

We now derive Equation 6 for the expected weighted LD (with respect to random drift) using references A′ and B′ in place of A and B, retaining the notation of Figure 1.