Sentence examples for moments problems from inspiring English sources

In those moments, problems breed problems.

But even in its opening moments, problems with this game emerge and leave a troublesome impression.

However, these conditions are not sufficient for non-extremal sextic or higher-order truncated moment problems.

This is done by employing a method of Putinar and Vasilescu [M. Putinar, F.-H. Vasilescu, Solving moment problems by dimensional extension, Ann. of Math. (2) 1999(3) (1087 1107]–1107] for the corresponding multidimensional moment problem.

Positive semidefiniteness, recursiveness, and the variety condition of a moment matrix are necessary and sufficient conditions to solve the quadratic and quartic moment problems.

Extension results, expressed in terms of complete boundedness, leading to necessary and sufficient conditions for the solvability of power moment problems with unbounded operator data are given.

The main result of the paper characterizes these degenerated solutions from three distinct perspectives: complex analysis, moment problems, and operator theory.

The method is given the name: the sectional quadrature method of moments (SQMOM) and has the advantage of being not tied to the inversion of large sized moment problems as required by the classical quadrature method of moments (QMOM).

Spherical t-designs and Euclidean t-designs are special cases of cubature formulas in approximation theory, and thus we get many connections with analysis and statistics, and in particular with orthogonal polynomials, and moment problems.

Roughly speaking, there are two kinds of moment problems: Stieltjes (1894) moment problem deals with nonnegative random variables only, while Hamburger (1920 , 1921 moment problem treats all random variables taking values in the whole real line.

Some of the underlying moment problems of basic difference equations are investigated in greater detail.