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Some Related Sentences
Every and smooth
Every smooth submanifold of R < sup > n </ sup > has an induced Riemannian metric g
: the inner product on each
tangent space is
the restriction of
the inner product on R < sup > n </ sup >.
Every smooth manifold defined in this way has a
natural diffeology, for which
the plots correspond to
the smooth maps from open subsets of R < sup > n </ sup > to
the manifold.
Every smooth function G over
the symplectic manifold generates a one-parameter family of symplectomorphisms and if

*
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 smooth surface S has a unique affine plane
tangent to it at each point.
Every Sámi settlement had its seita, which had no regular shape, and might consist of
smooth or odd-looking stones picked out of a stream, of a small pile of stones, of a tree-stump,
or of a simple post.
Every compact
smooth manifold of dimension 2n, which has only handles of index ≤ n, has a Stein structure provided n > 2, and when n = 2
the same holds provided
the 2-handles are attached with certain framings
( framing less than
the Thurston-Bennequin framing ).
Every closed
smooth 4-manifold is a union of two Stein 4-manifolds glued along their common boundary.
Every sufficiently
smooth DAE is almost everywhere reducible to this semi-explicit index-1 form.

*
Every smooth Hilbert manifold can be smoothly embedded onto an open subset of
the model Hilbert space.

*
Every continuous plurisubharmonic function can be obtained as a limit of monotonically decreasing sequence of
smooth plurisubharmonic functions.
Every camp has one
or two directors ;
the job of
the director is to make
the camp run
smooth and mostly safe without losing
the free-spirited and cosy experience of
the camp.
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 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 regular
map of varieties is continuous in
the Zariski topology.
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 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.
Every and φ
Every rotation Rot
( φ ) has an inverse Rot (−
φ ).

A substructure
N of
M is elementary if and only if it passes
the Tarski – Vaught test
: Every first-order formula
φ ( x, b < sub > 1 </ sub >, …, b < sub > n </ sub >) with parameters in
N that has a solution in
M also has a solution in
N when evaluated in
M. One can prove that two structures are elementary equivalent with
the Ehrenfeucht – Fraïssé games.
Every arithmetical set is implicitly arithmetical ; if X is arithmetically defined by
φ ( n
) then it is implicitly defined by
the formula
Every and M

*
Every rectangle R is in
M. If
the rectangle has length h and breadth k then a
( R
) =
Every song they wrote was written with an eye toward giving it " deep hidden meaning "
or D. H.
M.

* In any ring R, a maximal ideal is an ideal
M that is maximal in
the set of all proper ideals of R, i. e.
M is contained in exactly 2 ideals of R, namely
M itself and
the entire ring R.
Every maximal ideal is in fact prime.
Every measurable cardinal κ is a 0-huge cardinal because < sup > κ </ sup >
M ⊂
M, that is, every function from κ to
M is in
M. Consequently, V < sub > κ + 1 </ sub >⊂
M.

# " 5. 06 A.
M.
( Every Strangers ' Eyes )"
: Every countable theory which is satisfiable in a model
M, is satisfiable in a countable substructure of
M.

* Siegal,
M., Cornell Feline Health Center
( Editors
) ( 1989
) The Cornell Book of Cats
: A Comprehensive Medical Reference for
Every Cat and Kitten.

*
Every endomorphism of
M is either nilpotent
or invertible.
Every year about 5000 applications are received, out of which about 300 students
( around 150 in each year
) are enrolled in
the 2 year full time
M. Tech.
Every hyperkähler manifold
M has a 2-sphere of complex structures
( i. e. integrable almost complex structures
) with respect to which
the metric is Kähler.

*
Every module
M has an injective hull.
Every finite-length module
M has a composition series, and
the length of every such composition series is equal to
the length of
M.
Every year
the department admits students for it
M. A / MSc.,
M. Phil and Ph. D courses.

*
Every direct summand of
M is pure in
M. Consequently, every subspace of a vector space over a field is pure.
1.447 seconds.