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Geometry of a hand and some examples of measurements that can be taken by hand geometry reading devices. [1] A hand geometry reading device with pegs to control the placement of the hand. Angled mirror on the left reflects the side view image of the hand to the camera. A CCD camera is beneath the keypad to take the top view image of the hand ...
The study of surfaces is deeply connected with complex analysis and algebraic geometry, as every orientable surface can be considered a Riemann surface or complex algebraic curve. While the classification of surfaces is classical, maps of surfaces is an active area; see below.
Marcel Berger's 1955 paper [1] on the classification of Riemannian holonomy groups first raised the issue of the existence of non-symmetric manifolds with holonomy Sp(n)·Sp(1).Interesting results were proved in the mid-1960s in pioneering work by Edmond Bonan [2] and Kraines [3] who have independently proven that any such manifold admits a parallel 4-form .The long awaited analog of strong ...
Diffeomorphism. Large diffeomorphism; Orientability; characteristic class. Chern class; Pontrjagin class; spin structure; differentiable map. submersion; immersion
This system was born based on the human-computer interaction problem. The objective is to allow the communication between them and the use of gestures and hand movements to be more intuitive, Finger tracking systems have been created. These systems track in real time the position in 3D and 2D of the orientation of the fingers of each marker and ...
The possible states of a mechanical system are thought to be points of an abstract space, phase space in Lagrangian and Hamiltonian formalisms of classical mechanics. This space is, in fact, a high-dimensional manifold, whose dimension corresponds to the degrees of freedom of the system and where the points are specified by their generalized ...
A position of a car on the plane is determined by three parameters: two coordinates and for the location and an angle which describes the orientation of the car. Therefore, the position of the car can be described by a point in a manifold
The taxonomic classification of humans following John Edward Gray (1825) Human taxonomy on one hand involves the placement of humans within the taxonomy of the hominids (great apes), and on the other the division of archaic and modern humans into species and, if applicable, subspecies.