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

Every finite tree structure has a member that has no superior.

Every congruence relation has a corresponding quotient structure, whose elements are the equivalence classes ( or congruence classes ) for the relation.

Every group has a presentation, and in fact many different presentations ; a presentation is often the most compact way of describing the structure of the group.

Every algebraic structure has its own notion of homomorphism, namely any function compatible with the operation ( s ) defining the structure.

Every solid has its own characteristic energy band structure.

Every chapter contains a comprehensive compilation all of the published examples of the reaction organized in tables according to the structure of the starting material.

Every Riemann surface is a two-dimensional real analytic manifold ( i. e., a surface ), but it contains more structure ( specifically a complex structure ) which is needed for the unambiguous definition of holomorphic functions.

: Every oriented prime closed 3-manifold can be cut along tori, so that the interior of each of the resulting manifolds has a geometric structure with finite volume.

* " What Every Programmer Should Know About Memory " by Ulrich Drepper — explains the structure of modern memory subsystems and suggests how to utilize them efficiently

Every H * is very special in structure: it is pure-injective ( also called algebraically compact ), which says more or less that solving equations in H * is relatively straightforward.

Every Hermitian manifold is a complex manifold which comes naturally equipped with a Hermitian form and an integrable, almost complex structure.

Every animal cell is enclosed in a plasma membrane, which has the structure of a lipid bilayer with many types of large molecules embedded in it.

Every structure from the World's Columbian Exposition was long ago destroyed by fire, demolished or moved elsewhere, except for the old Palace of Fine Arts, now the Museum of Science and Industry, The Palace of Fine Arts, the only fireproof building at the fair, fell into disrepair and was rehabilitated with a $ 5 million grant in 1930 from Julius Rosenwald ( President of Sears, Roebuck and Co .).

Every five years, starting the day after Labor Day, the New Jersey Department of Environmental Protection ’ s ( DEP ) water level management plan allows the lake to be lowered five feet to allow for inspection of the dam structure, property owners ’ repairs to lakeshore structures, aquatic vegetation control, and silt and drainage material removal from areas around the lake.

Every timber structure on the site had been burnt, the charcoal being the only organic matter that survived the acid soils.

Every server uses its own query logic and structure.

Every ( normal ) Boolean algebra with operators can be represented as a field of sets on a relational structure in the sense that it is isomorphic to the complex algebra corresponding to the field.

Every compact smooth manifold of dimension 2n, which has only handles of index ≤ n, has a Stein structure provided n > 2, and when n = 2 the same holds provided the 2-handles are attached with certain framings ( framing less than the Thurston-Bennequin framing ).

Every window was lit, to lurid effect, as if the interior of the structure might be on fire.

Every Menards store shares a common structure.

Every structure shown here was built during this period, along with tens of others

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 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 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 galaxy of sufficient mass in the Local Group has an associated group of globular clusters, and almost every large galaxy surveyed has been found to possess a system of globular clusters.

Every adjunction 〈 F, G, ε, η 〉 gives rise to an associated monad 〈 T, η, μ 〉 in the category D. The functor

Every function symbol has an associated arity, indicating the number of elements in the domain mapped onto each element of range.

Every physical quantity has a Hermitian linear operator associated to it, and the states where the value of this physical quantity is definite are the eigenstates of this linear operator.

Every variable X < sub > i </ sub > in the sequence is associated with a Bernoulli trial or experiment.

Every algebraic curve C of genus g ≥ 1 is associated with an abelian variety J of dimension g, by means of an analytic map of C into J.

Husayn ibn Ali and his brother Hasan ibn Ali were regarded by Prophet Muhammed as his own sons due to his love for them and as they were the sons of his daughter Fatima and he regarded her children and descendants as his own children and descendants, and he said " Every mothers children are associated with their father except for the children of Fatima for I am their father and lineage " Thus only the descendants of Fatima are the descendants and progeny of the Prophet and his Ahlul Bayt.

Every earldom or lordship of Parliament was accompanied by a grant of land ; sometimes, peerages and their associated lands were surrendered in return for other peerages and lands.

Every gauge field has an associated ghost, and where the gauge field acquires a mass via the Higgs mechanism, the associated ghost field acquires the same mass ( in the Feynman -' t Hooft gauge only, not true for other gauges ).

Every such has an associated curvature given at.

* Every character value is a sum of n m < sup > th </ sup > roots of unity, where n is the degree ( that is, the dimension of the associated vector space ) of the representation with character χ and m is the order of g. In particular, when F is the field of complex numbers, every such character value is an algebraic integer.

Other pastiches of " The Major-General's song " in " The Elements " mode include the " Boy Scout Merit Badge Song ," which lists all the merit badges of the Boy Scouts of America and the 2012 webcomic xkcd pastiche " Every Major's Terrible ", which lists the faults associated with various undergraduate majors.

Every Choir or Band has a " resonance " associated with it, a unique way in which they interact with the Symphony that functions as a supernatural ability.

Every non-empty file must have at least one fork, and depending on the file system, a file may have one or more other associated forks, which in turn may contain primary data integral to the file, or just metadata.

Every organization, public or private, which was associated with emigration was required to have a representative at the Office.

Every key in this file is associated with a particular pointer to a record in the sorted data file.

Every key in this file is associated with a particular pointer to the block in the sorted data file.

* Every person associated with this Covenant shall respect the autonomy and sovereignty of each coven, as well as the right of each coven to oversee the spiritual, mental, emotional and physical development of its members and students in its own way, and shall exercise reasonable caution against infringing upon that right in any way.

Every norm induces a prewellordering ; if is a norm, the associated prewellordering is given by

Every point in physical space has an isovist associated with it.