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A crystal possesses a certain discrete set of angles of rotation that leave the appearance unchanged.
Laminated composites are usually fabricated from unidirectional plies of given thickness with limited fiber orientations to a small set of angles (e.g. 0°, +45°, 45°, and 90°).
Based on CFD results, the planks' configuration that matched open terrain was a set of angles: 15°, 12°, 10°, 5°, 0°, 0° from bottom to top.
Furthermore, the paper presents alternative strategies for handling rotation of pieces, which includes a restricted set of angles and unrestricted rotation.
This paper presents a design-of-experiment methodology for identifying the set of angles that maximizes the information content of the angular scattering measurements, thereby minimizing the ill-posedness of the underlying inverse problem.
In multiangle elastic light scattering (MAELS) experiments, the morphology of aerosolized particles is inferred by shining collimated radiation through the aerosol and then measuring the scattered light intensity over a set of angles.
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Kun asserted that the songs were "built on a similar set of angled melodies and hairpin turns of phrase", and that each "succeeds as its own distinctly intimate portrait of emotion and desire".
Euler angles for the above three Cartesian frames can be defined as a set of angle describing the rotation of (xmol ymol zmol) with respect to (xlab ylab zlab), a set of angle (θ p, φ p, χ p ) describing the rotation of (x p y p z p ) with respect to (xlab ylab zlab), and a set of angle describing the rotation of (xmol ymol zmol) with respect to (x p y p z p ).
The nonrigid synchronization problem is equivalent to finding a set of angle-dependent warping functions w θ(t) for all rotation angles θ ∈ [0, π) such as to minimize, along the shared z-axis (that is, the axis defined by r = 0, see Fig. 3(c)), the functional (3) Q θ { w } = (1 − λ ) ∫ 0 z m ∫ 0 T | I 0 (0, z, t ) − I θ (0, z, w (t ) ) | d t d z + λ ∫ 0 T | d d t w (t ) − 1 | d t.
The proposed reflector provides high reflectivity over two (practically important) sets of angles of incidence- normal(θ="0°) and oblique/grazing (θ= 80°−85°/90°).
Both sets of angles are iterated over (θ1 and θ2).
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