Every July the town hosts a Culture Camp in which Aleut traditions such as dance, sewing Aleut dresses, playing drums, building kayaks, knot tying, and weaving are taught.

Every tame knot in three dimensional Euclidean space has a ' fundamental quandle '.

Every integer 2g ' 2g matrix with < sup >*</ sup > arises as the Seifert matrix of a knot with genus g Seifert surface.

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 >.

Every patient was treated as if infected and therefore precautions were taken to minimize risk.

Every division ring is therefore a division algebra over its center.

* Every locally compact regular space is completely regular, and therefore every locally compact Hausdorff space is Tychonoff.

Every patient was treated as if infected and therefore precautions were taken to minimize risk.

Every system is unique to the business drivers it supports, therefore the quality attributes of each system such as fault-tolerance, backward compatibility, extensibility, reliability, maintainability, availability, security, usability, and such other – ilities will vary with each implementation.

**: Argument: Every person I've met has ten fingers, therefore, all people have ten fingers.

Every doctrine of the Bible is the teaching of God and therefore requires full agreement.

Every command of the Bible is the directive of God himself and therefore demands willing observance.

Every year, therefore, the chapter, " Remember what Amalek did unto thee " ( Deut.

Every real symmetric matrix is Hermitian, and therefore all its eigenvalues are real.

Every case in which a court discovers a violation of the Charter would therefore require a section 1 analysis to determine if the law can still be upheld.

Every subset of the Hilbert cube inherits from the Hilbert cube the properties of being both metrizable ( and therefore T4 ) and second countable.

Every locally constant function from the real numbers R to R is constant by the connectedness of R. But the function f from the rationals Q to R, defined by f ( x ) = 0 for x < π, and f ( x ) = 1 for x > π, is locally constant ( here we use the fact that π is irrational and that therefore the two sets

Every government, therefore, found him an useful servant ; and there was nothing in his opinions or in his character which could prevent him from serving any government.

Every one present has the sad experience, that we are powerless in an isolated condition, while the capitalists are united ; therefore it is the duty of every Cigar Maker to join the organization.

Every vertex of this graph has an even degree, therefore this is an Eulerian graph.

Every member of the rebellion wore a yellow turban as the symbol — and therefore the rebellion became known for it.

Every feature on every manufactured part is subject to variation, therefore, the limits of allowable variation must be specified.

Every field can therefore be considered like one new cell.

Every Man therefore is to judge for himself in these things .”

Hearst's account in Every Secret Thing states that she and Yoshimura opposed the action and were therefore assigned to " switch cars " far from the scene.

Every polytype can have monoclinic ( M ) or hexagonal ( H ) symmetry, and therefore some sources label them, for example, not as 6C, but 6H or 6M depending on the symmetry.

Every grammar in Kuroda normal form is monotonic, and therefore, generates a context-sensitive language.

One of the earliest formations of the Kalām argument comes from Al-Ghazali, who wrote, " Every being which begins has a cause for its beginning ; now the world is a being which begins ; therefore, it possesses a cause for its beginning.