This article treats connections on ber bundles B = P G F that are induced by a connection 1-form on the associated principal bundle P. Using horizontal lifts of vector elds it is shown which combinations of diierential forms on the ber F and on P canonically deene diierential forms on B. Local representations for these forms involving the gauge potentials and elds of the connection are given an...

A neural net method is used to extract principal components from real-world images. The initial components are a Gaussian followed by horizontal and vertical operators, starting with the first derivative and moving to successively higher orders. Two of the components are 'bar-detectors'. Their measured orientation selectivity is similar to that suggested by Foster & Ward (Proc. R. Soc. Lond. B ...

Indonesia is located at the confluence of three plates, namely Eurasian, Indo-Australian, and Pacific plates which causes formation an active fault line. One these faults Palu-Koro fault, Sulawesi, with a shift rate 30-44 mm/year. A geophysical method such as gravity determines fault’s characteristics. Gravity data processed by derivative analysis process in form First Horizontal Derivative (FH...

Pada penelitian ini dilakukan identifikasi struktur bawah permukaan sekitar Gunung Tandikat dengan metode gravitasi. Penelitian bertujuan untuk mengidentifikasi jenis batuan dan patahan anomali bouguer lengkap. Data yang digunakan merupakan data Free Anomaly Air (FAA) topografi dari web TOPEX total titik pengamatan berjumlah 49 titik. FAA Topografi diolah menggunakan software global mapper, oas...

This case report describes a modified connective tissue graft wall technique with enamel matrix derivative proposed to treat vertical bony defects. The surgical procedure consisted of coronally advanced flap porcine-derived acellular dermal placed below, acting as buccal soft the defect. patient showed defect between #12 and #13 horizontal bone loss deep infrabony component at mesial area canin...

• Connections in Rn . We have by now defined a number of different notions of differentiation: the differential of maps between manifolds, the exterior derivative of differential forms, and the Lie derivative. To begin to see the need for a new notion of differentiation (which will turn out to be the most fundamental and will apply to general tensor fields) consider first the problem of definin...

An ionic current model of the retinal horizontal cell is constructed. The horizontal cell models are interconnected by gap junctions to form a horizontal cell layer. The light response properties of the L-type horizontal cell are analyzed using this model. We demonstrate the functional role of each ionic current and the role of the feedback loop between cones and horizontal cells. The present s...

We survey recent results on the structure of the range of the derivative of a smooth mapping f between two Banach spaces X and Y . We recall some necessary conditions and some sufficient conditions on a subsetA of (X ,Y) for the existence of a Fréchet differentiable mapping f from X into Y so that f ′(X)= A. Whenever f is only assumed Gâteaux differentiable, new phenomena appear: for instance, ...

approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. in this paper with central difference approximation and newton cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. three...