* Every automorphism of a central simple algebra is an inner automorphism ( follows from Skolem – Noether theorem ).

Every first-order formula can be converted into Skolem normal form while not changing its satisfiability via a process called Skolemization ( sometimes spelled " Skolemnization ").

* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by " reversing all the arrows ".

Every well-constructed theory of education has at its center a philosophical anthropology.

Every field theory of particle physics is based on certain symmetries of nature whose existence is deduced from observations.

While also refining Galen's erroneous theory of the pulse, Avicenna provided the first correct explanation of pulsation: " Every beat of the pulse comprises two movements and two pauses.

Every epimorphism in this algebraic sense is an epimorphism in the sense of category theory, but the converse is not true in all categories.

Every one of the features encompassed by the theory still requires a reason for it to be maintained after hominids left the aquatic environment.

" Some also hold to the theory that Kidd conspired with Henry Every and Oak Island was used as a pseudo community bank between the two.

# Every " good " scientific theory is a prohibition: it forbids certain things to happen.

# Every genuine test of a theory is an attempt to falsify it, or to refute it.

: Every countable theory which is satisfiable in a model M, is satisfiable in a countable substructure of M.

: Every countable theory which is satisfiable in a model is also satisfiable in a countable model.

Every vector bundle theory ( real, complex etc.

Iwasawa worked with so-called-extensions: infinite extensions of a number field with Galois group isomorphic to the additive group of p-adic integers for some prime p. Every closed subgroup of is of the form, so by Galois theory, a-extension is the same thing as a tower of fields such that.

Every computer must be compatible with the principles of information theory, statistical thermodynamics, and quantum mechanics.

Is fundamental for the many-body theory that Every operator can be expressed in terms of annihilation and creation operators.

Every issue of the magazine opens with a description of The Skeptics Society and its mission statement, which is to explore subjects such as creationism, pyramid power, Bigfoot, pseudohistorical claims ( as in the examples of Holocaust denial and extreme Afrocentrism ), the use or misuse of theory and statistics, conspiracy theories, urban myths, witch-hunts, mass hysterias, genius and intelligence, and cultural influences on science, as well as controversies involving protosciences at the leading edge of established science, and even fads like cryonics and low-carb diets.

Every proper subgroup of G can be assumed a solvable group, meaning that much theory of such subgroups could be applied.

Every quantum field theory satisfying certain technical assumptions about its S-matrix that has non-trivial interactions can only have a symmetry Lie algebra which is always a direct product of the Poincaré group and an internal group if there is a mass gap: no mixing between these two is possible.

Every major Korean neo-Confucianist shared Toegye's preoccupation with single-mindedness, which signalled new stress on praxis in the development of Korean neo-Confucianism: the fusion of the metaphysical and the physical is better brought about through action than speculation, important as theory might be.

# Every elementary substructure of a model of a theory T also satisfies T ; hence it is a submodel.

Every theory with quantifier elimination is model complete.

Every theory which refuses to ascribe to God an attribute which is essential to a worthy conception of His character is anti-theistic.

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.