The main result of this note, Theorem 2, is the following: a Borel measure on the space of infinite Hermitian matrices, that is invariant under the action of the infinite unitary group and that admits welldefined projections onto the quotient space of “corners” of finite size, must be finite. A similar result, Theorem 1, is also established for unitarily invariant measures on the space of all i...

A new method of fringe shifting for color structured pattern projection is presented for three-dimensional (3D) surface height measurement. Temporal encoding of color stripes is combined with locally spatial shifting of multiple fringes to realize image acquisition with a small number of pattern projections. Object topography is retrieved with high resolution by decoding the code word of each f...

This article analyses the role played by childhood circumstances, especially social and family background in explaining health status among older adults. We explore the hypothesis of an intergenerational transmission of health inequalities using the French part of SHARE. As the impact of both social background and parents' health on health status in adulthood represents circumstances independen...

Given an affine projection π : P → Q of a d-polytope P onto a polygon Q, it is proved that the poset of proper polytopal subdivisions of Q which are induced by π has the homotopy type of a sphere of dimension d− 3 if π maps all vertices of P into the boundary of Q. This result, originally conjectured by Reiner, is an analogue of a result of Billera, Kapranov and Sturmfels on cellular strings on...

We obtain minimal shape-preserving projections onto the n-th degree algebraic polynomials via a geometric approach.

This study aimed to examine the familial aggregation of blood pressure with respect to anthropometric variables in an upper-middle class business community in Punjab, a northern state of India. The results were evaluated in a sample of 75 families, constituting 305 individual from three generations such as offspring, parental and grandparental. The data were analyzed through familial correlatio...