orthogonal symmetry

  • 1Symmetry in physics — refers to features of a physical system that exhibit the property of symmetry that is, under certain transformations, aspects of these systems are unchanged , according to a particular observation. A symmetry of a physical system is a physical or …

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  • 2Orthogonal group — Group theory Group theory …

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  • 3Symmetry group — Not to be confused with Symmetric group. This article is about the abstract algebraic structures. For other meanings, see Symmetry group (disambiguation). A tetrahedron can be placed in 12 distinct positions by rotation alone. These are… …

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  • 4Symmetry — For other uses, see Symmetry (disambiguation) …

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  • 5Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …

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  • 6Orthogonal symmetric Lie algebra — In mathematics, an orthogonal symmetric Lie algebra is a pair consisting of a real Lie algebra and an automorphism s of of order 2 such that the eigenspace of s corrsponding to 1 (i.e., the set of fixed points) is a compact subalgebra. If compa …

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  • 7Tetrahedral symmetry — A regular tetrahedron has 12 rotational (or orientation preserving) symmetries, and a total of 24 symmetries including transformations that combine a reflection and a rotation.The group of symmetries that includes reflections is isomorphic to S 4 …

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  • 8Rotational symmetry — Generally speaking, an object with rotational symmetry is an object that looks the same after a certain amount of rotation. An object may have more than one rotational symmetry; for instance, if reflections or turning it over are not counted, the …

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  • 9T-symmetry — is the symmetry of physical laws under a time reversal transformation mdash;: T: t mapsto t.Although in restricted contexts one may find this symmetry, the universe itself does not show symmetry under time reversal. This is due to the uncertainty …

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  • 10Orthotropic material — Wood is an example of an orthotropic material. Material properties in three perpendicular directions (axial, radial, and circumferential) are different. An orthotropic material has two or three mutually orthogonal twofold axes of rotational… …

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