Let A ⊂ L2(R) be at most countable, and p, q ∈ N. We characterize various frame-properties for Gabor systems of the form G(1, p/q,A)= {e2 g(x − np/q) : m, n ∈ Z, g ∈ A} in terms of the corresponding frame properties for the row vectors in the Zibulski–Zeevi matrix. This extends work by [Ron and Shen, Weyl–Heisenberg systems and Riesz bases in L2(R d). Duke Math. J. 89 (1997) 237–282], who consi...

Through the analysis and summary of research status and development trends of deck pavement technology of long-span continuous rigid frame bridge deck pavement at home and abroad, the impact factors of durability of continuous rigid frame bridge deck pavement, such as design flaw, constructional quality and overload are studied. This article will comprehensively analyze the cause of disease foc...

One of the important issues in the study of steel frames is to find a suitable formulation for semi-rigid connections. In this paper, the explicit stiffness matrix for a two-dimensional beam-column element having end-flexibilities is derived. The effects of the lateral uniformly distributed load on the deflection are considered. Both tensile and compressive axial loads are also taken into accou...

Consider a 3-dimensional rigid body, B. Let C denote the point in B which is fixed during subsequent spherical motions. Choose a fixed reference frame, F whose origin lies at point C. To understand what happens to a rigid body during a spherical motion, select an arbitrary point, P0, in B. Let ~v0 denote the vector from the origin of this fixed reference frame to P0. I.e., ~v0 denotes the coord...

Consider a 3-dimensional rigid body, B. Let C denote the point in B which is fixed during subsequent spherical motions. Choose a fixed reference frame, F whose origin lies at point C. To understand what happens to a rigid body during a spherical motion, select an arbitrary point, P0, in B. Let ~v0 denote the vector from the origin of this fixed reference frame to P0. I.e., ~v0 denotes the coord...