Academic literature on the topic 'Plans isoclins'

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Journal articles on the topic "Plans isoclins"

1

Et-Taoui, Boumediene. "Quaternionic equiangular lines." Advances in Geometry 20, no. 2 (2020): 273–84. http://dx.doi.org/10.1515/advgeom-2019-0021.

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AbstractLet 𝔽 = ℝ, ℂ or ℍ. A p-set of equi-isoclinic n-planes with parameter λ in 𝔽r is a set of pn-planes spanning 𝔽r each pair of which has the same non-zero angle arccos $\begin{array}{} \sqrt{\lambda} \end{array}$. It is known that via a complex matrix representation, a pair of isoclinic n-planes in ℍr with angle arccos $\begin{array}{} \sqrt{\lambda} \end{array}$ yields a pair of isoclinic 2n-planes in ℂ2r with angle arccos $\begin{array}{} \sqrt{\lambda} \end{array}$. In this article we characterize all the p-tuples of equi-isoclinic planes in ℂ2r which come via our complex representatio
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2

Yang, Jian Hui, Rong Ling Sun, Zheng Hao Yang, Xin Yang Lin, and Hai Cheng Niu. "Constitutive Relations of Concrete under Plane Stresses Based on Generalized Octahedral Theory." Applied Mechanics and Materials 71-78 (July 2011): 342–52. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.342.

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Continuous (or generalized) octahedral element bodies can be obtained by intercepting a cube with three groups of failure (or yield) planes successively under true triaxial stress state, on which the stresses are twin stresses. Among the resulting polyhedral characteristic element bodies, isoclinal octahedron and orthogonal octahedron are of particular importance. Strength models of continuous octahedrons are then derived by stress analysis to arbitrary inclined sections in three dimensional stress space, and strain models by the principle of strain analysis, so the plane constitutive relation
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3

Et-Taoui, B. "Equi-isoclinic planes of Euclidean spaces." Indagationes Mathematicae 17, no. 2 (2006): 205–19. http://dx.doi.org/10.1016/s0019-3577(06)80016-9.

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4

Pinit, Pichet, Tobita Susumu, and Eisaku Umezaki. "Determination of Principal-Stress Directions by Three-Step Color Phase Shifting Technique." Key Engineering Materials 321-323 (October 2006): 1284–87. http://dx.doi.org/10.4028/www.scientific.net/kem.321-323.1284.

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A three-step phase shifting approach for automatic determination of the isoclinic parameter in photoelasticity is presented. Unreliable isoclinic values affected by the isochromatic parameter are solved using the white light. The method uses three fringe images digitally captured by a digital camera for three different configurations of the dark-field plane polariscope. For a circular disk under compression, results show the method permits the isoclinic parameter in the range -π/2 to π/2 with almost free of the isochromatic parameter and comparable with theory.
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5

Aghajani, A., and A. Moradifam. "Intersection with the vertical isocline in the Liénard plane." Nonlinear Analysis: Theory, Methods & Applications 68, no. 11 (2008): 3475–84. http://dx.doi.org/10.1016/j.na.2007.03.040.

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6

SRIVASTAVA, DEEPAK C. "Geometrical similarity in successively developed folds and sheath folds in the basement rocks of the northwestern Indian Shield." Geological Magazine 148, no. 1 (2010): 171–82. http://dx.doi.org/10.1017/s0016756810000610.

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AbstractAn intensely deformed gneiss–migmatite terrane and a relatively undeformed granulite–granitoid terrane constitute the bulk of Precambrian basement in the northwestern Indian Shield. This article traces the structural evolution in the gneiss–migmatite terrane, where traditional methods of structural analysis are difficult to apply, and shows how successively developed folds can assume identical geometry and orientation at an advanced stage of progressive ductile shearing. The gneiss–migmatite terrane exemplifies a regional-scale ductile shear zone that preserves the history of polyphase
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7

Aghajani, Asadollah, Mohsen Mirafzal, and Donald O’Regan. "Conditions for approaching the origin without intersecting the x-axis in the Liénard plane." Filomat 31, no. 12 (2017): 3761–70. http://dx.doi.org/10.2298/fil1712761a.

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We consider the Li?nard system in the plane and present general assumptions to obtain some new explicit conditions under which this system has or fails to have a positive orbit which starts at a point on the vertical isocline and approaches the origin without intersecting the x-axis. This arises naturally in the existence of homoclinic orbits and oscillatory solutions. Our investigation is based on the notion of orthogonal trajectories of orbits of the system.
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8

Hara, Tadayuki, and Jitsuro Sugie. "When all trajectories in the Li�nard plane cross the vertical isocline?" Nonlinear Differential Equations and Applications NoDEA 2, no. 4 (1995): 527–51. http://dx.doi.org/10.1007/bf01210622.

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9

Blokhuis, Aart, Ulrich Brehm, and Boumediene Et-Taoui. "Complex conference matrices and equi-isoclinic planes in Euclidean spaces." Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59, no. 3 (2017): 491–500. http://dx.doi.org/10.1007/s13366-017-0374-2.

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10

Aghajani, Asadollah, and Amir Moradifam. "Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane." Applied Mathematics Letters 19, no. 5 (2006): 491–97. http://dx.doi.org/10.1016/j.aml.2005.07.005.

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