* 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 Skolem theory is model complete, i. e. every substructure of a model is an elementary substructure.

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

Every time I closed my eyes, I saw Gray Eyes rushing at me with a knife.

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 Wednesday night through Oct. 11 there will be an elaborate colored fountain display, with 229 nozzles throwing jets of water up to 130 feet.

Every doll in the house must be going with her ''.

** Tukey's lemma: Every non-empty collection of finite character has a maximal element with respect to inclusion.

Every unit of length has a corresponding unit of area, namely the area of a square with the given side length.

* Revised Code of Washington 9. 12. 010: " Every person who brings on his or her own behalf, or instigates, incites, or encourages another to bring, any false suit at law or in equity in any court of this state, with intent thereby to distress or harass a defendant in the suit, or who serves or sends any paper or document purporting to be or resembling a judicial process, that is not in fact a judicial process, is guilty of a misdemeanor ; and in case the person offending is an attorney, he or she may, in addition thereto be disbarred from practicing law within this state.

Every Boolean algebra ( A, ∧, ∨) gives rise to a ring ( A, +, ·) by defining a + b := ( a ∧ ¬ b ) ∨ ( b ∧ ¬ a ) = ( a ∨ b ) ∧ ¬( a ∧ b ) ( this operation is called symmetric difference in the case of sets and XOR in the case of logic ) and a · b := a ∧ b. The zero element of this ring coincides with the 0 of the Boolean algebra ; the multiplicative identity element of the ring is the 1 of the Boolean algebra.

Every Hilbert space X is a Banach space because, by definition, a Hilbert space is complete with respect to the norm associated with its inner product, where a norm and an inner product are said to be associated if for all x ∈ X.

* Every quadratic Bézier curve is also a cubic Bézier curve, and more generally, every degree n Bézier curve is also a degree m curve for any m > n. In detail, a degree n curve with control points P < sub > 0 </ sub >, …, P < sub > n </ sub > is equivalent ( including the parametrization ) to the degree n + 1 curve with control points P '< sub > 0 </ sub >, …, P '< sub > n + 1 </ sub >, where.

* Every unital real Banach algebra with no zero divisors, and in which every principal ideal is closed, is isomorphic to the reals, the complexes, or the quaternions.

* Every commutative real unital Noetherian Banach algebra with no zero divisors is isomorphic to the real or complex numbers.

Every cladogram is based on a particular dataset that was analyzed with a particular method.

Every city expansion would imply a new circle ( canals together with town walls ).

Jimmy Hatlo's They'll Do It Every Time was often displayed in a two-panel format with the first panel showing some deceptive, pretentious, unwitting or scheming human behavior and the second panel revealing the truth of the situation.

Every year, the European Joint Conferences on Theory and Practice of Software ( ETAPS ) sponsors the International Conference on Compiler Construction ( CC ), with papers from both the academic and industrial sectors.

Every play is subject to booth review with coaches only having one challenge.

According to Every, one example may be " the myth of St. George " and other stories about saints battling dragons, which were " modelled no doubt in many cases on older representations of the creator and preserver of the world in combat with chaos ".

* Every three years since Earnhardt's death, someone associated with Earnhardt has won the Daytona 500 ( his son Dale Earnhardt, Jr. in 2004, Earnhardt's replacement Cup driver Kevin Harvick in 2007, and Earnhardt Ganassi's Jamie McMurray in 2010.

Every song they wrote was written with an eye toward giving it " deep hidden meaning " or D. H. M.

In Norse mythology, Draupnir ( Old Norse " the dripper ") is a gold ring possessed by the god Odin with the ability to multiply itself: Every ninth night eight new rings ' drip ' from Draupnir, each one of the same size and weight as the original.

Every system must have a class designated as " root ", with one of its creation procedures designated as " root procedure ".

Every year, hundreds of new titles are published in Esperanto along with music.