The Poincaré model may be considered as a representation of the Lobachevskii plane on the plane of a complex variable; it enables one to set up a correspondence between ordinary complex numbers and points of the Lobachevskii plane.I.M. YAGLOM...
the systematic reduction of complex truths to a few simple axioms as a kind of intellectual hygiene revealing order and pattern, a point of view which does not require the axioms to have a self-sufficient intuitive and causal status. In other words, where Descartes and Leibniz saw geometry as...
Complex event processing with T-REX amounts of event notifications as they flow from the peripheral to the center of the system, to identify the composite events relevant for the application... G Cugola,A Margara - 《Journal of Systems & Software》 被引量: 136发表: 2012年 ...
Most hydrocarbon reservoirs contain faults, which are highly complex heterogeneous and anisotropic three-dimensional (3D) volumes of deformed rock. A major technical challenge in full-field flow simulation is to represent the effects of 3D fault zone str
An investigation of the effect of simultaneous thermal and mechanical loads on the compaction-creep-thickness recovery response of uncured prepreg system is essential to have a better understanding of the conditions applied during autoclave and out-of-autoclave processes. Compaction response mimics the ...
Nevertheless, nuclear magnetic resonance experiments have revealed significant differences in the distribution of the local exchange field acting on the nuclei, consist- ent with a transition between distinct states with different numbers of ordered Fourier components of magnetization23. Here we report a ...
canmemorizeanylinearlyseparableset,thecomplex- ityofathree-layerneuralnetworkislowerthanthat ofdigitalcircuitsespeciallywhentheinputdimension nisverylarge.Inaddition,theneural-basedmeth- odsallowforgeneralization,inotherwords.Theyhave thecapabilitytoclassify(input)datathatisnotspec- ifiedapriori(duringtraining)...
Complex numbersEuclidean geometryQuaternionsAlgebraNumber theoryThe relation between the algebra of quaternions and the algebra of complexnumbers is explained in terms of Euclidean two, three, and four dimensional (2D, 3D, and 4D) geometry. In particular the following are examined: extension of 3D ...
(2017). There are various methods for measuring the geometric parameters of bamboo, including both traditional and digital approaches. The traditional method most commonly used is the application of calipers (Vernier calipers). This method is particularly useful due to its high accuracy and easy ...
This complex interaction of a gamma with a matter makes proper imaging of MeV gammas very challenging. In principle, it can be achieved by resolving the equation of the Compton process event by event, where both the directions and energies for a pair of a recoil electron and Compton-...