Optical imaging of intrinsic signals is widely used for high-resolution brain mapping in various animal species. A new approach using continuous data acquisition and Fourier decomposition of the signal allows for much faster mapping, opening up the possibility of applying this method to new experimental questions.

we provide a continuous representation of quasi-concave mappings by their upper level sets. A possible motivation is the extension to quasi-concave mappings of a result by Ulam and Hyers, which states that every approximately convex mapping can be approximated by a convex mapping. Keyword: quasi-concave, upper level set AMS classification: 47N10

Necessary and sufficient conditions for the convergence of Picard iteration to a fixed point for a continuous mapping in metric spaces are established. As application, we prove the convergence theorem of Ishikawa iteration to a fixed point for a nonexpansive mapping in Banach spaces. 2004 Elsevier Inc. All rights reserved.

Spaced seeds have been shown to be superior to continuous seeds for efficient and sensitive homology search based on the seedand-extend paradigm. Much the same is true in genome mapping of high-throughput short-read data. However, a highly sensitive search with multiple spaced patterns often requires the use of a great amount of index data. We propose a novel seed-set construction method for ef...

We are working on mapping multi-channel neural spike data, recordedfrom multiple cortical areas ofan owl monkey, to corresponding 3d monkey arm positions. In earlier work on this mapping task, we observed that continuous function approximotors (such as artificial neural networks) have diflculty in jointly estimating 36 arm positions for two distinct cases namely, when the monkey’s arm is statio...

In statistical mechanics, it is well known that finite-state classical lattice models can be recast as quantum models, with distinct classical configurations identified with orthogonal basis states. This mapping makes classical statistical mechanics on a lattice a special case of quantum statistical mechanics, and classical combinatorial entropy a special case of quantum entropy. In a similar m...

In this paper, we propose a framework of “fractal deformation” using displacement vectors based on “extended Iterated Shuffle Transformation (ext-IST)”. An ext-unit-IST is a one-to-one and onto mapping that is extended from a unit-IST, which we have proposed, and is basically defined on a code space. When the mapping is applied on a geometric space, a fractal-like repeated structure, which is r...

It is shown that if f is a mapping of the plane onto itself that is uniformly continuous with modulus of continuity (r) which is o(p r) as r ! 0 and f is also co-uniformly continuous then f = P h where h is a homeomorphism of the plane and P is a complex polynomial. The same conclusion holds also under other assumptions on the moduli of uniform and co-uniform continuity. However, we also presen...

This case report describes the histopathologic findings associated with two left ventricular, linear radiofrequency lesions in a patient who underwent cardiac transplantation shortly after an ablation procedure for ventricular tachycardia. The lesions were created with conventional ablation equipment guided by a noncontact mapping system. The findings provide pathologic validation that continuo...

A provably stable reduced order model, based on a projection onto a scaled orthonormal Laguerre basis, followed by a SVD step, is proposed. The method relies on the conformal mapping properties induced by the complete orthonormal scaled Laguerre basis, allowing a mapping from the discrete-stable case to the continuous-stable case and vice versa.