For the sake of convenience, we take the notations.
To do this, we take the notations shown in Figure 5, where (x_{min}^{h_{2}}) represents the intersection point of the curve (H x,y)=h_{2}) with the line (y=b/p).
We take the following notations for the weights: E w jk n = w ¯ jk n, E c ki n = c ¯ ki n, E a ki n = a ¯ ki n, E b ki n = b ¯ ki n.
Proof By taking the same notation as that in the proof of Lemma 2.1 of Yang et al. [8], we partition the set { 1, 2, …, n } into 2 k n + 1 subsets with large block of size μ = μ n and small block of size ν = ν n.
(10.5) Taking the same notations as those in the proof of Lemma 10.2 we have the same relations as shown in (10.4).
Proof Since H p, q, ρ 1 is a separable Hilbert space, from Lemma 3.1 and Lemma 3.2, we conclude that there exist a subsequence of { u n } n = 2 ∞ (which for ease of notation we take the full sequence) and a function u ∗ ∈ H p, q, ρ 1 with the following properties [10]: (4.1) (4.2) (4.3) (4.4) (4.5) (4.6).
Another: "The notation thereby took the dancing out of the body".
It uses the Cylindrical notation, taking the difference of the larger radius and the smaller one's projection onto it [Fig. 7].
Taking this notation into account, let us multiply each equation of both sides of (1) by x i ( i = 1, 2, 3 ), and sum up each term in both sides of the equation.
Take for example the notation in Principle 18 of "pain + reflection = progress," the Christian-like maxim in Principle 122 to "teach your people to fish rather than give them fish" and the last principle, which lets you know something your mother told you: "Don't try to please everyone".
