Every extremal epimorphism is regular.

Every retraction is an epimorphism, and every section is a monomorphism.

Every section is a monomorphism, and every retraction is an epimorphism.

Every morphism in a concrete category whose underlying function is injective is a monomorphism ; in other words, if morphisms are actually functions between sets, then any morphism which is a one-to-one function will necessarily be a monomorphism in the categorical sense.

Every kernel, like any other equaliser, is a monomorphism.

Every legislator from Brasstown Bald to Folkston is going to have his every vote subjected to the closest scrutiny as a test of his political allegiances, not his convictions.

Every detail in his interpretation has been beautifully thought out, and of these I would especially cite the delicious laendler touch the pianist brings to the fifth variation ( an obvious indication that he is playing with Viennese musicians ), and the gossamer shading throughout.

Every taxpayer is well aware of the vast size of our annual defense budget and most of our readers also realize that a large portion of these expenditures go for military electronics.

Every single problem touched on thus far is related to good marketing planning.

Every few days, in the early morning, as the work progressed, twenty men would appear to push it ahead and to shift the plank foundation that distributed its weight widely on the Rotunda pavement, supported as it is by ancient brick vaulting.

Every dream, and this is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought, is a psychic phenomenon for which no explanation is available.

Every man in every one of these houses is a Night Rider.

Every library borrower, or at least those whose taste goes beyond the five-cent fiction rentals, knows what it is to hear the librarian say apologetically, `` I'm sorry, but we don't have that book.

Every community, if it is alive has a spirit, and that spirit is the center of its unity and identity.

The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.

** Every infinite game in which is a Borel subset of Baire space is determined.

Every natural-born citizen of a foreign state who is also an American citizen and every natural-born American citizen who is a citizen of a foreign land owes a double allegiance, one to the United States, and one to his homeland ( in the event of an immigrant becoming a citizen of the US ), or to his adopted land ( in the event of an emigrant natural born citizen of the US becoming a citizen of another nation ).

Every line of written text is a mere reflection of references from any of a multitude of traditions, or, as Barthes puts it, " the text is a tissue of quotations drawn from the innumerable centres of culture "; it is never original.

Every root of a polynomial equation whose coefficients are algebraic numbers is again algebraic.

* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =

Every year, on the last Sunday in April, there is an ice fishing competition in the frozen estuarine waters of the Anadyr River's mouth.

Every lattice element of the structure is in its proper place, whether it is a single atom or a molecular grouping.

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 regular map of varieties is continuous in the Zariski topology.

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.