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Every and elementary
Every cobordism is a union of elementary cobordisms, by the work of Morse, Thom and Milnor.
Every Skolem theory is model complete, i. e. every substructure of a model is an elementary substructure.
As well, Every public and private elementary and secondary schools under the Department of Education ( DepED ) has its own student governments.
Every barangay has its own day-care for pre-elementary pupils and an elementary school.
A substructure N of M is elementary if and only if it passes the Tarski – Vaught test: Every first-order formula φ ( x, b < sub > 1 </ sub >, …, b < sub > n </ sub >) with parameters in N that has a solution in M also has a solution in N when evaluated in M. One can prove that two structures are elementary equivalent with the Ehrenfeucht – Fraïssé games.
Every human mind inherits a complement of species-specific “ elementary ideas ” ( Elementargedanken ), and hence the minds of all people, regardless of their race or culture, operate in the same way.
Every composite material object is made up of elementary particles, and the only such composite objects are living organisms.
# Every elementary substructure of a model of a theory T also satisfies T ; hence it is a submodel.
Every elementary school provides Loving Care, and all are licensed by the State of Indiana.
* Every barangay has its own elementary schools.
Every elementary school chess club has at least 15 kids, and one, that of Sunny Hollow, has recently reached over 75 kids before they had to start turning down club hopefuls.

Every and embedding
* Every separable metric space is isometric to a subset of the ( non-separable ) Banach space l < sup >∞</ sup > of all bounded real sequences with the supremum norm ; this is known as the Fréchet embedding.
Every embedding is injective and continuous.
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 planar graph has a flat and linkless embedding: simply embed the graph into a plane and embed the plane into space.
* Let K < sup > a </ sup > be an algebraic closure of K containing L. Every embedding σ of L in K < sup > a </ sup > which restricts to the identity on K, satisfies σ ( L ) = L. In other words, σ is an automorphism of L over K.
* 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 planar graph has an algebraic dual, which is in general not unique ( any dual defined by a plane embedding will do ).

Every and is
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 and strong
Every quark in the universe does not attract every other quark in the above distance independent manner, since colour-confinement implies that the strong force acts without distance-diminishment only between pairs of single quarks, and that in collections of bound quarks ( i. e., hadrons ), the net colour-charge of the quarks cancels out, as seen from far away.
Every suspected Royalist was closely watched, and the magazines of arms in the country-houses of the gentry were for the most part removed into the strong places.
Every strong probable prime to base a is also an Euler probable prime to the same base, but not vice versa.
Every strongly inaccessible cardinal is also weakly inaccessible, as every strong limit cardinal is also a weak limit cardinal.
As the Catholic Encyclopedia ( 1908 – 10 ) described his work " Every page of his writings reveals a wealth of strong common sense, clear perception, and a vein of wonderful and ever varying erudition.
Every Eulerian orientation of a connected graph is a strong orientation, an orientation that makes the resulting directed graph strongly connected.
Every strong limit cardinal is also a weak limit cardinal, because κ < sup >+</ sup > ≤ 2 < sup > κ </ sup > for every cardinal κ, where κ < sup >+</ sup > denotes the successor cardinal of κ.
Every time the free humans had grown strong enough to start threatening machine hegemony, The One would be born into the Matrix.
Every time one of these cuts would close in one place, another would open in another place ... Then came to him a Frankish physician and removed from the leg all the ointments which were on it and began to wash it with very strong vinegar.
Every suspected Royalist was closely watched, and the magazines of arms in the country-houses of the gentry were for the most part removed into the strong places.
His own bon mots, such as " Every woman needs one man in her life who is strong and responsible.
Every record is supported with heavy touring to all of their strong markets and beyond as a headlining band.
* Every Fréchet space carries the Mackey topology and the topology coincides with the strong topology, that is
In New York, Ted Forstmann explained his goal for the scholarships, saying, " Every child, regardless of their parents ' income, should have access to a quality education – an education that will not only prepare them for successful private lives, but help them to build cohesive communities and a strong democracy.
Every year the boats are oiled mainly with fish oil, coconut shell, and carbon, mixed with eggs to keep the wood strong and the boat slippery in the water.

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