| All possible symmetries are explored, but the most common is bilateral symmetry. |
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| To break supersymmetry using the F-term, one can add chiral multiplets that transform as singlets under the gauge symmetries in the theory. |
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| He also perceived that the 14 space lattices consisted of 7 different lattice symmetries, which correspond to 7 crystal systems. |
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| The well-studied ion channels all have low-order symmetries ranging between twofold and fivefold. |
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| These symmetries tie together particles usually considered constituents of matter with the quanta of forces. |
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| When fermions are added to make superstrings, the mathematics becomes more complicated but the structures and symmetries become more rich. |
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| I will analyze the transformation geometry behind the symmetries transformation and tessellations apparent in Escher's drawings. |
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| Just as geometrical figures can exhibit symmetries, so can whole dynamical systems. |
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| We are taken through a labyrinth of puns, amphibolies, alliterations, symmetries, inversions, analogies, and in a variety of tones. |
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| Uniting these two different symmetries is highly nontrivial and leads us directly to supersymmetry and superstrings. |
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| They usually involve three numbers or, in the case of hexagonal and rhombohedral symmetries, four numbers, one for each crystallographic axis. |
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| The various mineral phases of a metamorphic rock have different physical properties and symmetries. |
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| There is no pointe work, and only some concessions to the long, lean symmetries of ballet. |
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| All the contenders to replace the standard model come with their own unifying symmetries built into them. |
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| Until 1984 the theory ran thus: a crystal is a solid, built up periodically from unit cells distinguished by certain symmetries. |
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| These types of unexpected symmetries are one of the advantages of stressing global partnerships. |
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| Understanding why and how these symmetries are broken offers great insight into those physical processes. |
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| Read this book then for its internal symmetries, not for its verisimilitude. |
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| It concerns the discovery of unexpected structures and symmetries, such as a crystal in its gangue. |
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| This connection provides the major conceptual apparatus of modern physics, through the concept of physical symmetries, or invariance principles, and valid transformations. |
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| In certain systems the symmetries are broken, and the conservation laws are no longer valid. |
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| The third condition implies an analysis of the internal symmetries that can exist within the series itself. |
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| However, according to another law, C, P and T symmetries, when lumped together into a single, overarching CPT symmetry, must be conserved. |
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| These symmetries are mentioned in particular because they have been reported in quasicrystalline alloys. |
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| More momentously, geometric proofs are guided by our deep ability to see points, lines, shapes and their symmetries, similarities and congruences. |
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| We must, however, add here the recent discoveries about quasicrystalline symmetries. |
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| As indicated by the shaded areas in the figure, the cavity is connected to outside through two types of channels having threefold and fourfold symmetries. |
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| The arrows represent translational symmetries of this crystalline structure. |
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| The mathematical beauty and experimental success of this idea have led physicists to extend it to higher energies and possible higher symmetries, as will be described below. |
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| It also includes suggestions for the mathematical-educational use of sipatsi, varying from the study of composition and symmetries to the study of progressions and pentagons. |
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| Not the subtle interplay of periodic symmetries typical of the classical era, nor the curvaceous, subjective flexibility in the flow of time that romanticism relished. |
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| Much as every integer can be broken down into a product of prime numbers, the symmetries of any object can be constructed from a collection of basic building blocks known as simple groups. |
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| Haywood examines the symmetries and conservation laws of the standard model of particle physics by using the language of group theory. |
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| Certain symmetries seem to exist in the structure of our moral concepts such that we can permute the place of the concepts in the structure in ways that allow for fatal underdetermination. |
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| Once you get through Lagrangians, Hamiltonians and Poisson brackets, you'll just have to grasp gauge symmetries and vector potentials. |
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| Other less symmetrical crystal groups are doubly refractive, including orthorhombic, monoclinic, and triclinic, all of which have specific internal symmetries and axes that dictate how light bends as it enters the crystal. |
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| But it has three dimensions when it comes to symmetries. |
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| Aspects of the coordination chemistry of metal complexes are discussed with reference to structures and symmetries, crystal and ligand field theories, and reaction kinetics. |
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| Thanks to their description, the bar sections can be seen on the screen and taken into account during the optimization according to the symmetries of a section. |
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| The two came together in late eighteenth century, when it was first conceived that the key to understanding even the simplest equations lies in the symmetries of their solutions. |
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| During the creation of a bar material, OptiCut V identifies the possible symmetries of the section and then displays it in the corresponding field. |
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| The most important groups are finite groups, arising for example in the study of permutations, and linear groups, which are made up of symmetries that preserve an underlying geometry. |
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| The major and minor symmetries indicate that the stiffness tensor has only 21 independent components. |
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| Finally, the onedimensional quasi-crystals have a far richer structure since they are not tied to any rotational symmetries. |
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| Nature 'publishes itself in creatures, reaching from particles and spicula, through transformation on transformation to the highest symmetries. |
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| In particular, this condition automatically takes into account both the rotational and reflectional symmetries of individual particles which have been developed separately. |
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| That new study on noncommutative symmetries looks promising. |
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| These are called the major symmetries of the stiffness tensor. |
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| Each lepton group represents the binary rotational symmetries of familiar 3-D regular polyhedrons, the tetrahedron, the octahedron, and the icosahedron. |
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| Symmetries are just as interesting and equally important at the other end of the scale, among the primary particles of matter. |
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| Gut Symmetries is flawed and uncompanionable, but there is something Milan Kundera-esque about it too. |
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