Likewise, a closed map is a function which maps closed sets to closed sets.

Likewise, the map is a conjugate-linear functional on V.

That is, two objects X and X ′ may map to the same object in D ( which is why the range of a full and faithful functor is not necessarily isomorphic to C ), and two morphisms f: X → Y and f ′: X ′ → Y ′ ( with different domains / codomains ) may map to the same morphism in D. Likewise, a full functor need not be surjective on objects or morphisms.

Likewise, Kant formulated the nebular hypothesis, according to which the solar system was evolved from a rotating mass of incandescent gas, nearly a half century before its scientific value was made plain by Laplace in his Systeme Du Monde.

Likewise, " architecture " refers not only to the design of safe, functional buildings, but also to elements of creation and innovation which aim at elegant solutions to construction problems, to the use of space, and to the attempt to evoke an emotional response in the builders, owners, viewers and users of the building.

Likewise, the problem of computing a quantity on a manifold which is invariant under differentiable mappings is inherently global, since any local invariant will be trivial in the sense that it is already exhibited in the topology of R < sup > n </ sup >.

Likewise, Jesus Christ proclaims in the Gospel of Matthew that one should " Render unto Caesar the things which are Caesar's "; that is at first, literally, the payment of taxes as binding those who use the imperial currency, but more widely interpreted as the offer of obedience and submission to the proclaimed worldly king () in matters not contrary to conscience.

Likewise, the vision, which appeared within a circular vignette or matte, was similarly superimposed over a black area in the backdrop to the scene, rather than over a part of the set with detail in it, so that nothing appeared through the image, which seemed quite solid.

Likewise, Leo describes the use of grenades, which further reinforces the view that contact with water was not necessary for the substance's ignition.

Hiragana is used to write native words for which there are no kanji, including particles such as から kara " from ", and suffixes such as さん ~ san " Mr., Mrs., Miss, Ms ." Likewise, hiragana is used to write words whose kanji form is obscure, not known to the writer or readers, or too formal for the writing purpose.

Likewise the crew of a Jordanian ship, MV Farah III, that ran aground near LTTE-controlled territory off the island's coast, accused the Tamil Tigers of risking their lives and forcing them to abandon the vessel which was carrying 14, 000 tonnes of Indian rice.

Likewise, a monopoly should be distinguished from a cartel ( a form of oligopoly ), in which several providers act together to coordinate services, prices or sale of goods.

Likewise, cold-cathode gauges may be reluctant to start at very low pressures, in that the near-absence of a gas makes it difficult to establish an electrode current-in particular in Penning gauges, which use an axially symmetric magnetic field to create path lengths for ions that are of the order of metres.

Likewise, the Benelux abolition of internal border controls was a model for the wider Schengen Accord, which today has 29 European signatories ( including the Netherlands ) pledged to common visa policies and free movement of people across common borders.

Likewise, the Muratorian fragment is evidence that, perhaps as early as 200, there existed a set of Christian writings somewhat similar to the twenty-seven book NT canon, which included four gospels and argued against objections to them.

Likewise, they are encouraged to search for the afikoman, the piece of matzo which is the last thing eaten at the seder.

Likewise, the symmetric key algorithm used in PGP version 2 was IDEA, which might, at some future time, be found to have a previously unsuspected cryptanalytic flaw.

Likewise, when it is written that " the most probable explanation " of the name of Ludlow, Massachusetts " is that it was named after Roger Ludlow ", what is meant here is not that Roger Ludlow is favored by a random factor, but rather that this is the most plausible explanation of the evidence, which admits other, less likely explanations.

Likewise the draft encyclical Humani Generis Unitas (" On the Unity of the Human Race "), which was ready in September 1938 but, according to those responsible for an edition of the document and other sources, it was not forwarded to the Holy See by the Jesuit General Wlodimir Ledochowski.

Likewise, the Pictish shires and thanages, traces of which are found in later times, are thought to have been adopted from their southern neighbours.

Likewise, many stores in the United States simple sell a product labeled " Romano cheese ", which usually contains cow's milk and is more mild than Pecorino Romano.

Likewise as well within the Christian " Tomb of the Cocks " in Beit Jibrin, which was a Palestinian Arab village located 13 miles northwest of the city of Hebron and part of the Kingdom of Israel, " we find two spirited cocks painted in red in the spandrels with a cross just over the center of the arch ".

Likewise, Byrne – in collaboration with Eno – released My Life in the Bush of Ghosts, which incorporated world music, ' found ' sounds, and included a number of other prominent international and post-punk musicians.

Likewise, it cannot be determined which faith is the truth.

Likewise, in Boy Scouts of America v. Dale,, the Supreme Court ruled that a New Jersey law, which forced the Boy Scouts of America to admit an openly gay member, to be an unconstitutional abridgment of the Boy Scouts ' right to free association.

" Likewise, James Madison explained to Thomas Jefferson, " I conceive that in a certain degree ... the rights in question are reserved by the manner in which the federal powers are granted " by Article One, Section 8 of the Constitution.

Likewise other popular sizes are 90mm, 120mm and almost every increment in between.

Likewise, every hominid species found on the Ringworld is descended from Pak breeders, and all are susceptible to the virus of Tree-of-life.

Likewise, every use of modus ponens can be converted to a use of modus tollens and transposition.

Likewise, during every full moon one might expect the Earth's shadow to fall on the Moon, causing a lunar eclipse.

Likewise, every once in a while a vapor molecule collides with the liquid surface and condenses into the liquid.

Likewise, Seventh-Day Adventists are required to worship every Saturday.

Likewise, a plane wave propagating in a vacuum has perpendicular electric and magnetic fields such that for every gauss of magnetic field intensity there is one statvolt / cm of electric field intensity.

Likewise, every beth din (" rabbinical court ") was attended by a number of pupils up to three times the size of the court ( Mishnah, tractate Sanhedrin ).

Likewise, it is analogous to the finite intersection property characterization of compactness in topological spaces: a collection of closed sets in a compact space has a non-empty intersection if every finite subcollection has a non-empty intersection.

The captain says, " In every town, Hot roasted pigs will meet ye, They in the streets run up and down, Still crying out, Come eat me " Likewise, he says, " At every feast, The very fowls and fishes, Nay from the biggest to the least, Comes tumbling to the dishes.

Likewise on Titus 1: 16 (" They profess that they know God ; but in works they deny, being abominable, and disobedient, and unto every good work reprobate.

" and after his promotion to a general officer " he followed with conspicuous bravery every forlorn hope which the Confederacy offered ..." Likewise historian Jon L. Wakelyn summed up his military career by saying ".. he volunteered for service in the Confederate Army and distinguished himself in the western command.

Likewise, a legend from Pont y Wern says that in the 13th or 14th century, the inhabitants of the town of Corwrion watched fairies dancing in a ring around a glow worm every Sunday after church at a place called Pen y Bonc.

Likewise, every chapter of Food Not Bombs operates on consensus.

Likewise, according to both Frame and Van Til, every non-Christian system contains what Jacques Derrida calls " alterity ", that is each system contains the very principles for its downfall.

Likewise, traditional Ethernet ( 10BASE5 and 10BASE2, but not the more modern 10BASE-T ) are natural broadcast media — all the nodes are attached to a single long cable and a packet transmitted by one device is seen by every other device attached to the cable.

* Inserting vowels into consonant clusters ( epenthesis ): Likewise depending on the social class, every now and then a speaker may insert a vowel ( near-Schwa ) between two following consonants.

Likewise, reformatting, repartitioning or reimaging a system is not always guaranteed to write to every area of the disk, though all will cause the disk to appear empty or, in the case of reimaging, empty except for the files present in the image, to most software.

Likewise, he was an early proponent of the fast break, which his Kentucky teams utilized at every opportunity.

Likewise, for every

Likewise the center of a sphere is equidistant from every point on the sphere.

Likewise it details information on every film from the first official Bond film Dr. No, to the then-recent Bond film Octopussy.