orthogonal projection n. The two-dimensional graphic representation of an object formed by the perpendicular intersections of lines drawn from points on the object to a plane of projection. Also calledorthographic projection. American Heritage® Dictionary of the English Language, Fifth Edition. Copyrig...
The planes x = 2 and y = 3 in Figure 12.3 intersect in a line parallel to the z-axis. This line is described by the pair of equations x = 2, y = 3. A point (x , y , z) lies on the line if and only if x = 2 and y = 3. Similarly, the line of intersection of the...
We study the Mie-like scattering from an open subwavelength resonator made of a high-index dielectric material, when its parameters are tuned to the regime of interfering resonances. We uncover a novel mechanism of superscattering, closely linked to stro
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This paper presents the use of X-ray computed tomography and X-ray fluorescence in the analysis and expert research of the seventeenth century printed book "Eukhologīon albo Molitoslov, ili Trebnik" from Kiev. The main purpose of the survey was to confi
The synthesis of reduced nickelate thin films, however, is complicated by the large ~2–3% increase in the in-plane lattice parameter upon reduction. To minimize compressive strain in the reduced phase, the parent compound must be synthesized under tensile strain, as shown in Fig. 1. ...
Find the orthogonal projection of v=⎣⎡−3−712⎦⎤ onto the subspace V of R3 spanned by ⎣⎡462⎦⎤ and ⎣⎡4−62⎦⎤. projV(v)=⎦⎤. Not the question you’re looking for? Post any question and get expert he...
the orthogonal projection π[b] of b onto the probability simplex P. We provide an interpretation of π[b] in terms of a redistribution process in which the mass of each focal element is equally distributed among its subsets, establishing an interesting analogy with the pignistic transformation....
For the sake of convenience, we assume that H is a Hamiltonian matrix of a certain quantum system. This assumption is just for convenience, does not alter our conclusion. Assuming orthogonal complete basis being |ei > , where the subscript i refers the i-th basis, the projection of |ei ...
They show that some gusts have a velocity exceeding 20 m/s, while the time to reach its maximum speed is less than 1 s. Such severe conditions could even cause the crash of a large airliner [7], whereas small and slow flying objects like general aviation aircraft, unmanned aerial ...