Sentence examples for estimate problem from inspiring English sources
Now we are concerned with the upper bound estimate problem of (1.1).
In this paper, we consider the estimate problem of the character sums ∑ a ∈ A χ ( a ) = ∑ a = 1 p − 1 2 † a + a ¯ χ ( a ), (1.1).
Later, Netanyahu [5] proved that max f ∈ σ | a 2 | = 3 / 4. The coefficient estimate problem for each of | a n | ( n ∈ N ∖ { 1, 2 } ) is still an open problem.
The main purpose of this paper is using the analytic method and the properties of Kloosterman sums to study the estimate problem of the mean value ∑ a ∈ A χ ( a ), and give a sharp upper bound estimate for it, where χ denotes any non-principal even character mod p. MSC 11L40.
The main purpose of this paper is, using the properties of Gauss sums and the estimate for the generalized exponential sums, to study the upper bound estimate problem of one kind sums analogous to the high-dimensional Kloosterman sums and to give some interesting mean value formula and an upper bound estimate for it.
Solving this problem leads to the following optimal estimate problem: (7) β ^ i = argmax β i posteriori score (G ; X ).
Since our goal is to study L p -estimate and almost surely asymptotic estimate problems, we assume that there exists a unique solution x ( t ) to equation (2.1) under non-Lipschitz condition and nonlinear growth condition (see [5, 6]).
The present paper is an attempt to specify and estimate problems and areas of CE suitable for the application of such technologies, with the focus on Bridge Engineering (BE).
Accordingly, this research examined the direct burden of household medical expenses on income in order to estimate problems related to high medical expenditure incurred by households.
To find a subset of D in which ? is a unique fixed point of T. (iv) Error estimates problem.
