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Page "Automorphism" ¶ 23
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** and automorphism
** In order theory, see order automorphism.
** In metric geometry an automorphism is a self-isometry.
** In the category of Riemann surfaces, an automorphism is a bijective biholomorphic map ( also called a conformal map ), from a surface to itself.
** In topology, morphisms between topological spaces are called continuous maps, and an automorphism of a topological space is a homeomorphism of the space to itself, or self-homeomorphism ( see homeomorphism group ).

** and differentiable
** Conversely, if ƒ: I → R is absolutely continuous and thus differentiable almost everywhere, and satisfies | ƒ ′( x )| ≤ K for almost all x in I, then ƒ is Lipschitz continuous with Lipschitz constant at most K.
** More generally, Rademacher's theorem extends the differentiability result to Lipschitz mappings between Euclidean spaces: a Lipschitz map ƒ: U → R < sup > m </ sup >, where U is an open set in R < sup > n </ sup >, is almost everywhere differentiable.
** Reciprocity relation or exact differential, a mathematical differential of the form dQ, for some differentiable function Q
** Smooth functions are better-behaved than general differentiable functions.
** Continuous differentiable functions are better-behaved than general continuous functions.
** Differential topology, in multivariable calculus, the differential of a smooth map between Euclidean spaces or differentiable manifolds is the approximating linear map between the tangent spaces, called pushforward ( differential )

** and manifold
** The orientable double cover of a non-orientable manifold.
** Lorentz surface, a two-dimensional oriented smooth manifold with a conformal equivalence class of Lorentzian metrics.
** Boost, positive manifold pressure in cars, see Turbocharger # Pressure increase / boost.
** The same exhaust manifold bolt pattern as their smallblock gasoline cousins.
** The representation's material (' Stoff ') is a given or received manifold of sensation which is unified when it is attributed to a transcendental object.
** 1995-1997 Honda Accord, For this particular vehicle the engine was updated with a more efficient intake manifold.
** Exotic R < sup > 4 </ sup >-differentiable manifold homeomorphic but not diffeomorphic to the Euclidean space R < sup > 4 </ sup >
** Exotic sphere-differentiable manifold homeomorphic but not diffeomorphic to the ordinary sphere
** a manifold
** Real projective space RP < sup > n </ sup > is a n-dimensional manifold.
** Complex projective space CP < sup > n </ sup > is a 2n-dimensional manifold.
** Quaternionic projective space HP < sup > n </ sup > is a 4n-dimensional manifold.

** and M
** M. L.
** " R. E. M releases videos under Artistic License 2. 0-about R. E. M.
** M. uniflorum or horse gram
** Branch (" USMC "); Gas mask size ( S – small, M – medium, L – large )
** Hindi: Lalita Ke Aansoo by Krant M. L. Verma ( Published 1978 )
** Sir Joshua Reynolds, by Estelle M. Hurll, from Project Gutenberg
David Pears and Brian McGuinness ( 1961 ), Routledge, hardcover: ISBN 0-7100-3004-5, 1974 paperback: ISBN 0-415-02825-6, 2001 hardcover: ISBN 0-415-25562-7, 2001 paperback: ISBN 0-415-25408-6 ; ** Philosophische Untersuchungen ( 1953 ) or Philosophical Investigations, translated by G. E. M.
** Universal prescriptivism, defended by R. M.
** M. C. Escher used special shapes of mirrors in order to achieve a much more complete view of his surroundings than by direct observation in Hand with Reflecting Sphere ( also known as Self-Portrait in Spherical Mirror ).
** Binary PSK ( BPSK ), using M = 2 symbols
** Quadrature PSK ( QPSK ), using M = 4 symbols
** 8PSK, using M = 8 symbols
** 16PSK, using M = 16 symbols
** George M. Humphrey
** " Mowgli's Brothers " ( M ) ( short story )
** " Kaa's Hunting " ( M ) ( short story )
** " How Fear Came " ( M ) ( short story )
** " Letting In the Jungle " ( M ) ( short story )
** " The King's Ankus " ( M ) ( short story )
** " Red Dog " ( M ) ( short story )
** " The Spring Running " ( M ) ( short story )
** Piers M is a dedicated Schengen area.

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