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Some Related Sentences
Every and regular
Every regular language
is context-free, every context-free language, not containing
the empty string,
is context-sensitive and every context-sensitive language
is recursive and every recursive language
is recursively enumerable
.
Every regular ordinal
is the initial ordinal
of a cardinal
.

*
Every regular language
is context-free because it can be described by a context-free grammar
.

*
Every metric space
is Tychonoff ; every pseudometric space
is completely
regular.

*
Every locally compact
regular space
is completely
regular, and therefore every locally compact Hausdorff space
is Tychonoff
.

*
Every topological group
is completely
regular.

*
Every normal
regular space
is completely
regular, and every normal Hausdorff space
is Tychonoff
.

*
Every subspace
of a completely
regular or Tychonoff space has
the same property
.

*
Every Borel set E
is outer
regular:

*
Every open set E
is inner
regular:
Every regular space
is locally
regular, but
the converse
is not true
.
Every such space
is regular.

Nordau saw
in Jewish Emancipation
the result
of ' a
regular equation:
Every man
is born with certain rights ;
the Jews are human beings, consequently
the Jews are born to own
the rights
of man
.
Every such
regular cover
is a principal G-bundle, where G = Aut ( p )
is considered as a discrete topological group
.
Every universal cover p: D → X
is regular, with deck transformation group being isomorphic to
the fundamental group
.
Every fourth year when
the games were also held,
the festival was known as
the " Great Panathenaia ," and was 3 or 4 days longer than
the regular festival
.

“
Every three months ( after
regular cleaning )
the wheels should be coated with petroleum jelly .”
Every US President since Roosevelt has delivered a
regular address
.
Every polyhedron,
regular and irregular, convex and concave, has a dihedral angle at every edge
.
Every extremal monomorphism
is regular.
Every extremal epimorphism
is regular.
Every and map

*
Every continuous map from a compact space to a Hausdorff space
is closed and proper ( i
. e.,
the pre-image
of a compact set
is compact
.
Every continuous map f: X → Y induces an algebra homomorphism C ( f ): C ( Y ) → C ( X ) by
the rule C ( f )( φ ) = φ o f for every φ
in C ( Y ).
Every vector v
in determines a linear
map from R to taking 1 to v, which can be thought
of as a Lie algebra homomorphism
.
Every smooth ( or differentiable )
map φ: M → N between smooth ( or differentiable ) manifolds induces natural linear maps between
the corresponding tangent spaces:

*
Every Lipschitz
continuous map is uniformly
continuous, and hence a fortiori
continuous.
Every distinct
map projection distorts
in a distinct way
.
Every map that
is injective,
continuous and either open or closed
is an embedding ; however there are also embeddings which are neither open nor closed
.
Every inner automorphism
is indeed an automorphism
of the group G, i
. e
. it
is a bijective
map from G to G and it
is a homomorphism ; meaning ( xy )< sup > a </ sup >

*
Every constant
map is a plot
.
Every real m-by-n matrix yields a linear
map from R < sup > n </ sup > to R < sup > m </ sup >.
Every algebraic curve C
of genus g ≥ 1
is associated with an abelian variety J
of dimension g, by means
of an analytic
map of C into J
.
Every local homeomorphism
is a
continuous and open
map.
Every covering
map is a semicovering, but semicoverings satisfy
the " 2 out
of 3 " rule: given a composition
of maps
of spaces, if two
of the maps are semicoverings, then so also
is the third
.

*
Every bundle
of Lie algebras over a smooth manifold defines a Lie algebroid where
the Lie bracket
is defined pointwise and
the anchor
map is equal to zero
.
Every Möbius transformation
is a bijective conformal
map of the Riemann sphere to itself
.

* The embedding theorem for Stein manifolds states
the following:
Every Stein manifold
of complex dimension can be embedded into by a biholomorphic proper
map.
Every issue
of our periodical will therefore include one or more
map supplements, and their design will guarantee a
continuous and easily accessible supplement
in easy-to-manage form with special regard for those who own Stielers Hand-Atlas, Berghaus ’ s Physical Atlas, and other
map publications
of the ( Perthes ) Institute
.
Every map consists
of numerous textured polygons carefully positioned
in relation to one another
.
Every summer,
the town prepares for
the one-week summer festival, " Finnsnes i Fest ", aiming to put Finnsnes on
the map.

*
Every map can be replaced by a cofibration via
the mapping cylinder construction

*
Every local diffeomorphism
is also a local homeomorphism and therefore an open
map.
Every element x
of G gives rise to a tensor-preserving self-conjugate natural transformation via multiplication by x on each representation, and hence one has a
map.
Every map has these two bases, but each
map has a different pattern
of fixed terrain features
.
0.333 seconds.