Every smooth ( or differentiable ) map φ: M → N between smooth ( or differentiable ) manifolds induces natural linear maps between the corresponding tangent spaces:

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 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 form is the delimitation of a surface by another one ; it possesses an inner content, the effect it produces on one who looks at it attentively.

Every aspect of the store is mapped out and attention is paid to colour, wording and even surface texture.

Every gland is formed by an ingrowth from an epithelial surface.

Every antiseptic, however good, is more or less toxic and irritating to a wounded surface ; as a result, in surgery, the antiseptic method has been replaced by aseptic method, which is preventative in nature and relies on keeping free from the invasion of bacteria rather than destroying them when present.

Every Riemann surface is a two-dimensional real analytic manifold ( i. e., a surface ), but it contains more structure ( specifically a complex structure ) which is needed for the unambiguous definition of holomorphic functions.

Every Riemann surface is the quotient of a free, proper and holomorphic action of a discrete group on its universal covering and this universal covering is holomorphically isomorphic ( one also says: " conformally equivalent ") to one of the following:

# Every Riemannian metric on a Riemann surface is Kähler, since the condition for ω to be closed is trivial in 2 ( real ) dimensions.

# Every K3 surface is Kähler ( by a theorem of Y .- T. Siu ).

Every now and then, the surface water sloshes back across the ocean, bringing warm water temperatures along the eastern coasts of the pacific.

Every such black body emits from its surface with a spectral radiance that Kirchhoff labeled ( for specific intensity, the traditional name for spectral radiance ).

Every 17 years, Brood X cicadas tunnel en masse to the surface of the ground, lay eggs, and then die off in several weeks.

Every minimal projective ruled surface other than the projective plane is the projective bundle of a 2-dimensional vector bundle over some curve.

Every conic surface is ruled and developable.

Every finite group is a subgroup of the mapping class group of a closed, orientable surface, moreover one can realize any finite group as the group of isometries of some compact Riemann surface.

Every vehicle function that changes direction or speed relies on friction between the tires and the road surface.

Every single object or point is dwarfed ; the valley of the Hudson is only a wrinkle in the earth's surface.

Every surface of the vaulted ceiling is occupied with preserved fishes, stuffed mammals and curious shells, with a stuffed crocodile suspended in the centre.

Every integer 2g ' 2g matrix with < sup >*</ sup > arises as the Seifert matrix of a knot with genus g Seifert surface.

Every morning before sunrise, the floor of the owners house, or where ever it may be, is cleaned with water and the muddy floor is swept well for an even surface.

Every hyperbolic Riemann surface has a non-trivial fundamental group.

According to Dale E. Dawkins, AMC's vice-president, " Every square inch of inner surface on exterior body panels is galvanized on our Spirit, Concord, and Eagle models.

Every particular finite line, surface, or solid which may possibly be the object of our thought is an idea existing only in the mind, and consequently each part of it must be perceived.

Every state governor since Denver S. Dickerson has resided in the Governor's Mansion located in Carson City.

" More immediately, though, he called for a massive build-up of U. S. arms production: " Every realist knows that the democratic way of life is at this moment being ' directly assailed in every part of the world … The need of the moment is that our actions and our policy should be devoted primarily — almost exclusively — to meeting this foreign peril.

Every U. S. jurisdiction has its own regulations regarding what, precisely, must be said to a person arrested or placed in a custodial situation.

Every binary relation R on a set S can be extended to a preorder on S by taking the transitive closure and reflexive closure, R < sup >+=</ sup >.

Good Trouble ( 1982 ) and Wheels Are Turnin ' ( 1984 ) were follow-up albums which also did well commercially, the former containing the hit singles " Keep the Fire Burnin '" ( U. S. # 7 ), " Sweet Time " ( U. S. # 26 ) and the un-ranked " The Key " and the latter containing the # 1 hit single " Can't Fight This Feeling " plus three more hits: " I Do ' Wanna Know " ( U. S. # 29 ), " One Lonely Night " ( U. S. # 19 ), " Live Every Moment " ( U. S. # 34 ) and the un-ranked " Break His Spell ".

Every S / 360 ( except for the Model 20, which was not a standard S / 360 ) had a byte-multiplexer channel and 1 or more selector channels.

Every year, the American Chemistry Council tabulates the U. S. production volume of the top 100 basic chemicals.

The film was written by Cyril Hume ( dialogue ), John Thomas Neville, Richard Schayer and Dale Van Every and Ethelreda Lewis, and directed by W. S.

Every state highway, even those forming parts of U. S. Routes, was assigned a number.

Every February, A. Y. S. O.

Every year the community hosts the Welcome Easter Parade along the main road, Old U. S. Highway 52.

* Universal affirmative: Every S is a P.

For their next two albums, Every Good Boy Deserves Favour ( 1971 ) – from which Hayward's " The Story in Your Eyes " was taken as a US Charting single ( No. 23 ), and Seventh Sojourn ( 1972 ) ( which reached No. 1 in the U. S .), the band returned to their signature orchestral sound which, while difficult to reproduce in concert, had become their trademark.

Every summer a cherry festival is held at Lofthus, where the Norwegian championship of cherry stone spitting is held ( record: 14. 24 meters, S. Kleivkaas ).

" Every Morning ", which received widespread comparisons to " Fly ", rose to similar success during the spring of 1999, reaching No. 3 in the U. S. Billboard Hot 100 chart.

In 1991, she launched Every Child By Two, a nationwide campaign that sought to increase early childhood immunizations along with Betty Bumpers, wife of former U. S. Senator Dale Bumpers of Arkansas.

# Every candidate inside the set S is pairwise unbeaten by every candidate outside S ; and

Veneman is also co-chair of Mothers Day Every Day, along with former U. S. President Bill Clinton ’ s Health and Human Services Secretary Donna Shalala.