* 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 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 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 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 four years the IMU membership gathers in a General Assembly ( GA ) which consists of delegates appointed by the Adhering Organizations, together with the members of the Executive Committee.

Every instruction consists of a 9-bit opcode, a 4-bit register code, and a 23-bit effective address field, which consists in turn of a 1-bit indirect bit, a 4-bit register code, and an 18-bit offset.

Every URL consists of some of the following: the scheme name ( commonly called protocol ), followed by a colon, two slashes, then, depending on scheme, a server name ( exp.

Every state except Nebraska has a bicameral legislature, meaning that the legislature consists of two separate legislative chambers or houses.

Every mRNA consists of three parts-5 ' untranslated region ( 5 ' UTR ), protein-coding region or open reading frame ( ORF ) and 3 ' untranslated region ( 3 ' UTR ).

Every enzyme code consists of the letters " EC " followed by four numbers separated by periods.

Every naval fleet consists of a variety of ships of different sizes, and no fleet has enough resources to make every vessel supreme in its class.

" Every sin ", he writes, " consists in the longing for a passing ultimately unreal or false good ".

Every day at 1330 hrs, there is a Change of Guards outside the Palace, and the ceremony itself, which consists of two parts, lasts for approximately 40 minutes.

Every Venpa consists of between two to twelve lines.

This flat may be identified with the partition of the vertices of into the connected components of the subgraph formed by: Every set of edges having the same closure as gives rise to the same partition of the vertices, and may be recovered from the partition of the vertices, as it consists of the edges whose endpoints both belong to the same set in the partition.

Every race consists of three laps.

Every year the town of Truckee hosts the Donner Lake Triathlon which consists of the Sprint Triathlon: swim, bike, run and the International Triathlon:,, run.

Every region consists of several cities and towns that the player must explore in order to fulfill many waiting challenges such as Gyms, Contests, and / or saving a region from antagonistic characters.

Every meal consists of a basic meal ( meat or vegetarian ), salad and an option to get some more if you would like that.

Every frame is independent and consists of VLC-coded DCT coefficients.

Every Tuesday the first half of the show consists of a segment called Tech Tuesday that attempts to keep listeners current on various computer / computing and technology issues.

Every reality of the Marvel Universe has numerous interconnected dimensions, with each dimension differing from those of other realities ; for example, the Ultimate Asgard has clearly been shown to be distinct from the Asgard known to Earth-616 characters.

Every district is composed of numerous municipalities, which can consist of cities, villages, or groups of villages known as Verbandsgemeinden.

Every year Lawrence County hosts numerous events, including the Alabama Chicken and Egg Festival in Moulton, the AHSAA Cross Country state championships at the Oakville Indian Mounds, the Lawrence County Basketball Tournament in Moulton, and the Alabama Indian Festival at the Oakville Indian Mounds.

Every dry scrap of wood they could find, including fence rails, was burned to keep the numerous fires going.

Every year, the town holds a celebration of Depot Days, which includes a pancake breakfast, parade, cake walk, karaoke on the street, street vendors, night time street dance and numerous other activities.

Every state had numerous political factions, but they did not cross state lines.

Every summer, many top-grade university students and high-school students participate in numerous science projects organized by Deep River Science Academy in cooperation with many of the knowledge-economy enterprises of the area.

Every spring, the town hosts the Nailsworth Festival during which local artists exhibit in the windows of all the high street shops, there are numerous cultural and street events, and a free music festival, Nailstock, takes place on one of the playing fields in the town, showcasing local bands.

At the peak of its popularity, No Limit became notorious for producing lengthy albums that consisted of up to 20 tracks and featured numerous cameo appearances by other No Limit artists ( Fiend's 1998 release, There's One in Every Family, for instance, contained fifteen ), in addition to the cheap packaging of its CDs in cases that consisted mostly of cardboard stock and a small amount of plastic, as well as spearheading the movement of garish Pen & Pixel-designed album covers.

He was the author of several books and numerous articles on defense, foreign policy, and arms control, including How Nations Negotiate and Every War Must End.

Every summer weekend, numerous people are arrested by Park Rangers and Sheriff Deputies, for boating under the influence of alcohol.

Every year the Lions host the Harvey Martin Classic at the Cotton Bowl in Dallas and play host to a random LSC opponent to reach out to the numerous Dallas alumni and also most of the Lion football players are from the DFW area.

Lukin played bass on Mudhoney's first five studio albums ( Mudhoney, Every Good Boy Deserves Fudge, Piece of Cake, My Brother the Cow, and Tomorrow Hit Today ), as well as two EPs and numerous singles.

Every year since 1994, Lloydies have climbed onto the top of Millikan Library to construct the Lloyd Christmas Tree, a monumental structure of numerous Christmas lights strung together to resemble a 10-story Christmas tree topped with a 12-feet-tall " L ." The latest off-campus pranks have been the pranking of MIT's Campus Preview Weekend, which included many Lloydies.

Every year the music department organises the KES Musical Festival which includes concerts throughout Bath as well as numerous performances and concerts in the school itself.

O ' Grady found success starring in numerous television movies, including The Three Lives of Karen, Another Woman's Husband, Sex & the Single Mom, Every 9 Seconds, and Lip Service.

The band built up a considerable following on the back of numerous limited-edition 7 " record and CD-R releases, resulting in the indie pop albums All Your Summer Songs, released in 2003 on Polyvinyl Records, and the more polished Every Night, released in 2004 on Polyvinyl as well.

On April 17, 1958, Delaney stated, " Every day our newspapers report numerous muggings and attacks, most of them involving knives.

Every year, numerous festivals are held through the Appalachian region, and throughout the world, to celebrate Appalachian music and related forms of music.