
Groups and Symmetry
Catégorie: Fantasy et Terreur, Informatique et Internet
Auteur: Armstrong M-A
Éditeur: Walter Isaacson
Publié: 2016-09-05
Écrivain: Benjamin Percy
Langue: Serbe, Portugais, Grec ancien, Croate
Format: Livre audio, pdf
Auteur: Armstrong M-A
Éditeur: Walter Isaacson
Publié: 2016-09-05
Écrivain: Benjamin Percy
Langue: Serbe, Portugais, Grec ancien, Croate
Format: Livre audio, pdf
Symmetry, Lattices and Space groups - William SHEPARD (SOLEIL, Gif-sur-yvette)
Conversations sur Symmetry, Groups, and Representations in Physics - Babelio - Echangez avec les lecteurs qui vous ressemblent sur tous les sujets littéraires
Symmetry groups in nonlinear elasticity: An exercise in vintage mathematics - This manuscript aims at characterizing energy densities and constitutive laws of transversely isotropic materials, orthotropic elastic materials and materials with non orthogonal families of fibers. It makes explicit references to results that are scattered over the literature and, although said to be well-known, are not always easy to locate. Direct proofs that are thought to be new and simplified expressions of constitutive laws for materials with two preferred directions are given.
- Groups and Symmetry - Armstrong, Mark A. - Livres - Groups and Symmetry
Symetry and physical properties - 4PMNSPP2 - Grenoble INP - Phelma - Goals · Position Symmetry · Symmetries with translation : mathematical determination · Space groups. Searching space groups from X-ray diffractograms. Use of " ...
Graphs having no quantum symmetry - [1] Alspach, B. Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree,, J. Combinatorial Theory Ser. B, Tome 15 ...
Cristallographie et techniques expérimentales associées - I.3. Space group symmetry. Glide planes and screw axes. The 230 space groups. The International Tables for Crystallography. I.4. Beyond basic crystallography.
Non-linear Symmetry-preserving Observer on Lie Groups - In this technical note, we give a geometrical framework for the design of observers on finite-dimensional Lie groups for systems which possess some specific symmetries. The design and the error (between true and estimated state) equation are explicit and intrinsic. We consider also a particular case: left-invariant systems on Lie groups with right equivariant output. The theory yields a class of observers such that the error equation is autonomous. The observers converge locally around any trajectory, and the global behavior is independent from the trajectory, which is reminiscent of the linear stationary case.
Hyperquaternion Symmetry Groups - The hyperquaternion algebra being defined as a tensor product of quaternion algebras (or a subalgebra thereof), it follows that Clifford algebras are hyperquater-nion algebras due to a theorem by Clifford (1878). Examples of hyperquaternionsare quaternions H(e1=i; e2=j); biquaternions HC(e1=iI; e2=jI; e3=kI); tetraquaternions HH(e0=j; e1=kI;e2=kJ; e3=kK); and so on HHC; HHH:::. The formula of n dimensional rotations in euclidean spaces y=axa-1 (a2C+n) was given by Lipschitz (1880). Moore, working on a canonical decomposition of rotations was to call the elements of Lipschitz’s algebra hyperquaternions whichjustifies the above terminology. Hyperquaternions provide a new efficient mathematical formalism for physics. Since HH≃M4 (R), [HH] C≃M4(C); [HH] H≃M4(H) it follows that hyperquaternions yield all real matrices as well as the complex and quaternionic ones. A hyperconjugation defined as A h=HcHcHc:::Hc where c indicates a quaternion conjugation, yields respectively the matrix transposition HcHc≃[M4
Symmetry groups for beta-lattices - We present a construction of symmetry plane-groups for quasiperiodic point-sets named betalattices. The framework is issued from beta-integers counting systems. Beta-lattices are vector superpositions of beta-integers. When ÿ ¿ 1 is a quadratic Pisot-Vijayaraghavan algebraic unit, the set of beta-integers can be equipped with an abelian group structure and an internal multiplicative law. When ÿ = (1+ √ 5) 2 , 1+ √ 2 and 2+ √ 3, we show that these arithmetic and algebraic structures lead to freely generated symmetry plane-groups for beta-lattices. These plane-groups are based on repetitions of discrete adapted rotations and translations we shall refer to as "beta-rotations" and "beta-translations". Hence beta-lattices, endowed with beta-rotations and beta-translations, can be viewed like lattices. The quasiperiodic function S (n), deÿned on the set of beta-integers as counting the number of small tiles between the origin and the nth beta-integer, plays a central part in these new group structures. In
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