In mammals, each olfactory bulb contains two mirror-symmetric glomerular maps. Isofunctional glomeruli within each bulb are specifically linked through a set of reciprocal intrabulbar projections (IBPs) to form an intrabulbar map. We injected neural tracers into the glomerular layer on one side of the bulb and examined the resulting projection on the opposite side. In adult mice, the size of th...

The development of orderly topographic maps in the central nervous system (CNS) results from a collaboration of chemoaffinity cues that establish the coarse organization of the projection and activity-dependent mechanisms that fine-tune the map. Using the retinotectal projection as a model system, we describe evidence that biochemical tags and patterned neural activity work in parallel to produ...

Given an initial point, x0, sets Si for i = 1, . . . , r and their corresponding nearest point projections PSi , the method of alternating projections (MAP) attempts to finds a point in ∩i=1Si by cyclically projecting onto the sets. The original alternating projection result was due to von Neumann (1933) who was able to prove that if the sets are subspaces MAP converges in norm to P∩i=1Si . Usi...

In this paper, we construct a bialgebra theory for associative conformal algebras, namely antisymmetric infinitesimal bialgebras. On the one hand, it is an attempt to give structures other under certain conditions, such are equivalent double constructions of Frobenius which algebras that decomposed into direct sum another algebra and its dual as C[∂]-modules both them subalgebras natural biline...

Computerized Tomography (CT) is a standard method for obtaining internal structure of objects from their projection images. While CT reconstruction requires the knowledge of the imaging directions, there are some situations in which the imaging directions are unknown, for example, when imaging a moving object. It is therefore desirable to design a reconstruction method from projection images ta...

The article describes the effect of the replacement of the used reference coordinate system in the georeferencing of an old map of Europe. The map was georeferenced into three types of projection – the equal-area conic (original cartographic projection), cylindrical Plate Carrée and cylindrical Mercator map projection. The map was georeferenced by means of the affine and the second-order polyno...

This paper belongs to the realm of conformal geometry and deals with Euclidean submanifolds that admit smooth variations are infinitesimally conformal. Conformal a classical subject in differential geometry. In fact, already 1917 Cartan classified parametrically hypersurfaces nontrivial variations. Our first main result is Fundamental theorem for infinitesimal The second rigidity lie low codime...

In this paper we consider singularities of orthogonal projections of piecewisesmooth surfaces on planes. For a generic smooth surface, the apparent contour (outline, profile) of the surface associated with a projection onto a plane is the set of critical values of the projection. The singularities of apparent contours of smooth surfaces have been studied by several authors [1, 3, 8, 9, 10, 11, ...