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...99 | pages = 576&ndash;582 | doi = 10.1007/BF01338811}}</ref> This higher symmetry results from two properties of the Kepler problem: the velocity vector alwa ...is a [[parabola]]. In all cases, the direction of '''A''' lies along the symmetry axis of the conic section and points from the center of force toward the [[ ...

...undamental [[physics|physical]] laws underlying [[special relativity]] and symmetry phenomena in molecular [[chemistry]]. ...to encompass the above example along with many others, one of which is the symmetry group detailed below. ...

|title=An SU(3) Model for Strong Interaction Symmetry and its Breaking |title=An SU(3) Model for Strong Interaction Symmetry and its Breaking: II ...

...ay, and if {{nowrap|''r''(θ − α°) {{=}} ''r''(θ)}} it will be [[rotational symmetry|rotationally symmetric]] α° [[clockwise|counterclockwise]] about the pole. Systems displaying [[radial symmetry]] provide natural settings for the polar coordinate system, with the centra ...

...ics)|spin]], are determined by the properties of this [[gauge theory|gauge symmetry]]. ...ne photon to be emitted, as the nuclear Coulomb field breaks translational symmetry.) The energy of the two photons—or, equivalently, their frequency—may be de ...

...heorem]] explains the fundamental connection between [[symmetry in physics|symmetry]] and [[conservation law]]s.<ref name="neeman_1999" /> ...sts [[Leon M. Lederman]] and [[Christopher T. Hill]] argue in their book ''Symmetry and the Beautiful Universe'' that Noether's theorem is "certainly one of th ...

...pical energy of each particle was decreasing. [[Explicit symmetry breaking|Symmetry breaking]] phase transitions put the [[fundamental force]]s of physics and ...uire that [[baryon number]] is not conserved, that [[C-symmetry]] and [[CP-symmetry]] are violated and that the universe depart from [[thermodynamic equilibriu ...

...les that the other excludes (Figure 2). [[Joseph Diaz Gergonne]] used this symmetry to provide an elegant straightedge and compass solution, while other mathem ...here are up to sixteen solutions of Apollonius' problem. However, due to a symmetry of the equations, if (''r''_''s'', ''x''_''s'', ''y''<s ...

...ingle gas particle, and approximating the rest of the gas by a [[spherical symmetry|spherically symmetric]] distribution. It is then customary to introduce a [ ...ead to corrections to equipartition, such as [[identical particles]] and [[symmetry|continuous symmetries]]. The effects of identical particles can be dominant ...

...alt="A set of dots lying within a circle. The pattern of dots has fourfold symmetry, i.e., rotations by 90 degrees leave the pattern unchanged. The pattern can ...|alt="A set of dots lying within a circle. The pattern of dots has sixfold symmetry, i.e., rotations by 60 degrees leave the pattern unchanged. The pattern can ...

...and with high-energy phenomena.<ref>An in-depth comparison between the two symmetry groups can be found in {{Harvnb|Giulini|2006a}}.</ref> With Lorentz symmetry, additional structures come into play. They are defined by the set of light ...

...an [[electrical charge|uncharged]], [[rotation|nonrotating]], [[spherical symmetry|spherically symmetric]] mass: ...

...omplicated phase diagram are not entirely understood. The α form has a low-symmetry [[monoclinic crystal system|monoclinic]] structure, hence its brittleness, ...