Every element of is a member of the equivalence class.

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

# Every type of state is a powerful institution of the ruling class ; the state is an instrument which one class uses to secure its rule and enforce its preferred production relations ( and its exploitation ) onto society.

Every set is a class, no matter which foundation is chosen.

Every type that is a member of the type class defines a function that will extract the data from the string representation of the dumped data.

# Every noun belongs to a unique number class.

Every class had a taste for beer and rum.

Every unique cultivar has a unique name within its denomination class ( which is almost always the genus ).

Every year, Skull and Bones selects fifteen men ( only ) of the junior class to join the society.

Every year he exhibited work of one class or another: occasionally a public monument in the round, like those of Pasquale Paoli ( 1798 ) or Captain Montague ( 1802 ) for Westminster Abbey, of Sir William Jones for University College, Oxford ( 1797 – 1801 ), of Nelson or Howe for St Paul's Cathedral ; more often memorials for churches, with symbolic Acts of Mercy or illustrations of Scripture texts, both commonly in low relief ( 1801 ), Miss Cromwell, Chichester ( 1800 ), Mrs Knight, Milton, Cambridge ( 1802 ), and many more ; and these pious labours he would vary from time to time with a classical piece like those of his earliest predilection.

Every class can carry a primary and secondary weapon, which are organized into " kits ".

Every winter this alpine village hosts the " White Turf " horse race on the frozen Lake St. Moritz attended by the international Upper class.

This means that A is not necessarily better than B, and B is not necessarily better than C. Every class is independent of the others.

Every naval fleet consists of a variety of ships of different sizes, and no fleet has enough resources to make every vessel supreme in its class.

Every time one levels up a class division, one is given one extra attribute point until it reaches division level 50, such that a non reincarnated char has a total of 236 points, 216 points the character can invest as there is always 5 Tactics, Clout, Education and Mechanical Aptitude to start with.

Every 2 Education raises a single Technology level, which allows units to equip higher class equipments which are more efficient and / or stronger.

Every month each school is obliged to take the students for a walk ( περίπατος ), which is usually spontaneous, decided right before the first class and an educational excursion to a museum or theater etc.

Every character class is referred to as " Shaper " in-game.

Every class prepares a float which corresponds with the Homecoming theme or related theme of school spirit as assign by school administrators.

Every finite group is a subgroup of the mapping class group of a closed, orientable surface, moreover one can realize any finite group as the group of isometries of some compact Riemann surface.

Every year, over 400 events are taking place – including concerts, opera productions, class recitals and exam concerts.

Every class in Raffles Institution has its own Class Executive Committee ( CEC ).

Every class of MBBS students has assigned to itself a name denoting the year of entry.

Every member of the class participates as a sailor, soldier or minuet dancer.

Every such subset has a smallest element, so to specify our choice function we can simply say that it maps each set to the least element of that set.

** Well-ordering theorem: Every set can be well-ordered.

Every information exchange between living organisms — i. e. transmission of signals that involve a living sender and receiver can be considered a form of communication ; and even primitive creatures such as corals are competent to communicate.

Every context-sensitive grammar which does not generate the empty string can be transformed into an equivalent one in Kuroda normal form.

* Every regular language is context-free because it can be described by a context-free grammar.

Every grammar in Chomsky normal form is context-free, and conversely, every context-free grammar can be transformed into an equivalent one which is in Chomsky normal form.

Every real number has a ( possibly infinite ) decimal representation ; i. e., it can be written as

Every module over a division ring has a basis ; linear maps between finite-dimensional modules over a division ring can be described by matrices, and the Gaussian elimination algorithm remains applicable.

Every entire function can be represented as a power series that converges uniformly on compact sets.

Group actions / representations: Every group G can be considered as a category with a single object whose morphisms are the elements of G. A functor from G to Set is then nothing but a group action of G on a particular set, i. e. a G-set.

Every positive integer n > 1 can be represented in exactly one way as a product of prime powers:

Every sequence can, thus, be read in three reading frames, each of which will produce a different amino acid sequence ( in the given example, Gly-Lys-Pro, Gly-Asn, or Glu-Thr, respectively ).

Every hyperbola is congruent to the origin-centered East-West opening hyperbola sharing its same eccentricity ε ( its shape, or degree of " spread "), and is also congruent to the origin-centered North-South opening hyperbola with identical eccentricity ε — that is, it can be rotated so that it opens in the desired direction and can be translated ( rigidly moved in the plane ) so that it is centered at the origin.

Every holomorphic function can be separated into its real and imaginary parts, and each of these is a solution of Laplace's equation on R < sup > 2 </ sup >.

Every species can be given a unique ( and, one hopes, stable ) name, as compared with common names that are often neither unique nor consistent from place to place and language to language.

Every vector v in determines a linear map from R to taking 1 to v, which can be thought of as a Lie algebra homomorphism.

Every morpheme can be classified as either free or bound.

Every use of modus tollens can be converted to a use of modus ponens and one use of transposition to the premise which is a material implication.

Every document window is an object with which the user can work.

Every adult, healthy, sane Muslim who has the financial and physical capacity to travel to Mecca and can make arrangements for the care of his / her dependants during the trip, must perform the Hajj once in a lifetime.

Every ordered field can be embedded into the surreal numbers.

* Every finite topological space gives rise to a preorder on its points, in which x ≤ y if and only if x belongs to every neighborhood of y, and every finite preorder can be formed as the specialization preorder of a topological space in this way.

* Every preorder can be given a topology, the Alexandrov topology ; and indeed, every preorder on a set is in one-to-one correspondence with an Alexandrov topology on that set.

Every binary relation R on a set S can be extended to a preorder on S by taking the transitive closure and reflexive closure, R < sup >+=</ sup >.