Given a field K, let R be the power series ring K[[x1, . . . , xn]]. There is a natural action of Aut(R) on the Hilbert scheme Hilb(R) parameterizing ideals in R of colength d. Recall from [10] that given a smooth variety X of dimension n and a monomial ideal I ⊂ R of finite colength, the space U(I) parametrizing subschemes of X isomorphic to Spec(R/I) sits naturally inside a suitable Hilbert s...

BACKGROUND AND PURPOSE White matter fiber tractography relies on fiber bundle orientation estimates from diffusion MR imaging. However, clinically feasible techniques such as DTI and diffusional kurtosis imaging use assumptions, which may introduce error into in vivo orientation estimates. In this study, fiber bundle orientations from DTI and diffusional kurtosis imaging are compared with diffu...

We prove that any Hamiltonian bundle whose fiber is a nilmanifold c-splits.

Mahaim Fiber tachycardia characteristically causes a wide QRS tachycardia with left bundle branch morphology and left axis deviation, especially in young patients, having no structural heart disease. Mahaim fiber automaticity further cements the proposition of Mahaim fiber, due to its Atrioventricular (AV) node like property, being called as an ectopic AV node.

THE HUMAN VISUAL SYSTEM COMPRISES ELONGATED FIBER PATHWAYS THAT REPRESENT A SERIOUS CHALLENGE FOR DIFFUSION TENSOR IMAGING (DTI) AND FIBER TRACTOGRAPHY: while tracking of frontal fiber bundles may be compromised by the nearby presence of air-filled cavities, nerves, and eye muscles, the anatomic courses of the three main fiber bundles of the optic radiation are subject to pronounced inter-subje...

The canonical reduction algorithm is applied to Maxwell and Yang-Mills equations considered as Hamiltonian systems on some fiber bundles with symplectic and connection structures. The minimum interaction principle proved to have geometric origin within the reduction method devised. 0. Preliminaries We begin by reviewing the backgrounds of the reduction theory subject to Hamiltonian systems with...

Fiber-optic daylighting systems have been shown to be a promising and effective way to transmit sunlight in the interior space whilst reducing electric lighting energy consumption. To increase efficiency in terms of providing uniform illumination in the interior, the current need is to illuminate optical fiber-bundle with uniform light flux. To this end, we propose a method for achieving collim...

Introduction: Muscles can adapt to altered length change by increasing or decreasing serial sarcomere number [1]. The functional result of this adaptation is for the muscle to work on or around optimal sarcomere length. If this finding applies to muscles after tendon transfer surgery, this would be desirable, as intraoperative measurements reveal that transferred muscles may be overstretched to...

Light-sheet-based fluorescence imaging techniques rely on simultaneous excitation of a single optical plane and thus permit high-contrast optically sectioned imaging of extended tissue samples. Here, we introduce a miniaturized fiber-optic implementation of a selective plane-illumination microscope (miniSPIM). The excitation light was delivered through a single-mode optical fiber, and a light-s...

The mixed brittle–plastic fiber bundle model is an extension model based on the classical fiber bundlemodel to describe the nonbrittle failure process of some hierarchical structure materials such as spider silk. In order to explore the breaking dynamic properties of the hierarchical structure materials in short-range correlation, the mixed brittle–plastic fiber bundle model in local load shari...