That compares with 29percentt who said they were not satisfied; the remainder had no opinion or said they did not know enough to judge.
Corollary 5.3 Let f and I n be as in the Lemma 5.2, then ∫ a b f ( x ) d x = A M ( f, I n ) + R M ( f, I n ), where A M denotes the mid point quadrature rule i.e., A M ( f, I n ) = ∑ i = 0 n − 1 f ( x i + x i + 1 2 ) h i. and the remainder R M satisfies the estimation | R M ( f, I n ) | ≤ 1 2 ∥ f ′ ∥ p ( q + 1 ) 1 q ( ∑ i = 0 n − 1 h i q + 1 ) 1 q.
Then the identity (3.5) holds and the remainder (R phi a,b)) satisfies the bound biglvert R_{n} alpha,beta phi bigrvert leqbiglVert mathcal {F}^{prime}bigrVert _{infty} biggl{ frac{phi^{ n-1)}(beta)+phi ^{(n-1)}(alpha)}{2}-frac{phi^{ n-1)}(beta)-phi^{(n-2)}(alpha)}{beta-alpha} biggr}.
The goal of the kth step is to find a quotient qk and remainder rk that satisfy the equation : and that have rk b a := a − b else b := b − a return a The variables a and b alternate holding the previous remainders rk−1 and rk−2.
A further 43 per cent and 55 per cent for men and women said they were currently satisfied, while the remainder felt neutral.
The remainder of heating needs are satisfied by backup heating systems, which will be electric resistance heating, natural gas, or oil fired.
We start this section by some fundamental properties satisfied by and which will be useful in the remainder of the text.
And the diagonal ratio between T1,1 and T2,1 is fixed by α 1, 1 α 2, 1. Due to the orthogonalization between Qi,1 and Qi,r, the remainder of H i satisfies that I - Q i, 1 † Q i, 1 H i, r = Q i, r T i, r P r †, (16).
According to the property of Lagrange interpolation [28], the interpolation remainder, denoted by R x) satisfies that R x)=f(x -L_{f}(x -L_{f{f^{(n+1)}(xi)}{(n+1)!}omega(x) (7).
This question was followed by a question on the satisfaction of involvement: 37.3% (n = 28) were not satisfied with their involvement, 26.7% (n = 20) were satisfied, and the remainder (36%) were not sure.
