We report the first experimental violation of Bell's inequality in the spatial domain using the Einstein-Podolsky-Rosen state. Two-photon states generated via optical spontaneous parametric down-conversion are shown to be entangled in the parity of their one-dimensional transverse spatial profile. Superpositions of Bell states are prepared by manipulation of the optical pump's transverse spatia...

The present note overviews our recent construction of real Gromov-Witten theory in arbitrary genera for many real symplectic manifolds, including the odd-dimensional projective spaces and the renowned quintic threefold, its properties, and its connections with real enumerative geometry. Our construction introduces the principle of orienting the determinant of a differential operator relative to...

In this paper we define and examine the truncated Witten genus. It is defined as the equivariant index of the Dirac operator on the manifold Map(Cp, M) with its natural Cp-action. Here, Map(Cp, M) is the space of maps from the cyclic group of order p into a closed, connected, spin manifold, By applying the Atiyah-Singer index theorem we give a topological formula for the truncated Witten genus ...

Projective techniques continue to be widely used by school psychologists despite frequent criticisms of their use. This article reviews contemporary validity issues in the use of projective techniques with children and adolescents, including incremental validity, treatment validity, and problems associated with professional judgment and experience. A discussion of these issues and their implica...

The term "projective tests" is customarily applied to several of the sharpest and most valuable weapons in the clinical psychologist's armoury. Some of these?the Rorschach test, for example?are well known; others are not, and indeed some depend for their effectiveness upon their deceptive similarity to verbal intelligence tests. There are, nevertheless, essential differences between them and th...

This book is a major contribution to the literature on delinquency. Professor Merrill surveys the resources of the clinician in the tasks of assessing social environment and understanding delinquent personalities; and she describes the use of intelligence tests and projective techniques. The behaviour of delinquent children is understandable only in terms of the basic needs of the individual ch...

My work focuses on the geometry and differential equations invariant under groups of affine and projective motions (in R and RP respectively). In particular, affine differential geometry, the study of properties of hypersurfaces in R which are invariant under affine volume-preserving motions, informs most of my work. Affine differential geometry is an old subfield of geometry, with Blaschke mak...

Given an ample line bundle L over a projective \({{\mathbb {K}}}\)-variety X, with {K}}}\) non-Archimedean field, we study limits of metrics on associated to submultiplicative sequences norms the graded pieces section ring R(X, L). We show that in rather general case, corresponding asymptotic Fubini-Study operator yields one-to-one correspondence between equivalence classes bounded and plurisub...