Every individual style of jazz dance has roots traceable to one of these two distinct origins.

Every reality of the Marvel Universe has numerous interconnected dimensions, with each dimension differing from those of other realities ; for example, the Ultimate Asgard has clearly been shown to be distinct from the Asgard known to Earth-616 characters.

Every composite number can be written as the product of two or more ( not necessarily distinct ) primes ; furthermore, this representation is unique up to the order of the factors.

Every triangle has three distinct excircles, each tangent to one of the triangle's sides.

Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.

* Every irreducible polynomial over k has distinct roots.

Writing for the Village Voice, Robert Christgau gave the album a rating of A -, saying, " Every cut on this clear, consistent, elusive album affords distinct present pleasure.

Every graph has a harmonious coloring, since it suffices to assign every vertex a distinct color ; thus χ < sub > H </ sub >( G ) ≤ | V ( G )|.

Every Uratha may change at will into five distinct forms, each with its own benefits and drawbacks ( physical abilities, digestive traits, reaction to certain drugs, instincts ).

* Every pair of distinct points determines a unique line.

* Every line contains at least two distinct points.

* Every non-collinear set of n points determines at least n distinct lines.

Every region where Angloromani is spoken is characterised by a distinct colloquial English style ; this often leads outsiders to believe that the speech of Romnichals is regional English.

Every conjugation exhibits some degree of syncretism, where the same ( homophonous, and possibly also homographic ) form is used to realize distinct combinations of grammatical features.

* Every continuous map from a compact space to a Hausdorff space is closed and proper ( i. e., the pre-image of a compact set is compact.

Every continuous map f: X → Y induces an algebra homomorphism C ( f ): C ( Y ) → C ( X ) by the rule C ( f )( φ ) = φ o f for every φ in C ( Y ).

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 smooth ( or differentiable ) map φ: M → N between smooth ( or differentiable ) manifolds induces natural linear maps between the corresponding tangent spaces:

* Every Lipschitz continuous map is uniformly continuous, and hence a fortiori 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 inner automorphism is indeed an automorphism of the group G, i. e. it is a bijective map from G to G and it is a homomorphism ; meaning ( xy )< sup > a </ sup >

* Every constant map is a plot.

Every regular map of varieties is continuous in the Zariski topology.

Every real m-by-n matrix yields a linear map from R < sup > n </ sup > to R < sup > m </ sup >.

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.

Every local homeomorphism is a continuous and open map.

Every covering map is a semicovering, but semicoverings satisfy the " 2 out of 3 " rule: given a composition of maps of spaces, if two of the maps are semicoverings, then so also is the third.

* Every bundle of Lie algebras over a smooth manifold defines a Lie algebroid where the Lie bracket is defined pointwise and the anchor map is equal to zero.

Every Möbius transformation is a bijective conformal map of the Riemann sphere to itself.

* 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 issue of our periodical will therefore include one or more map supplements, and their design will guarantee a continuous and easily accessible supplement in easy-to-manage form with special regard for those who own Stielers Hand-Atlas, Berghaus ’ s Physical Atlas, and other map publications of the ( Perthes ) Institute.

Every map consists of numerous textured polygons carefully positioned in relation to one another.

Every summer, the town prepares for the one-week summer festival, " Finnsnes i Fest ", aiming to put Finnsnes on the map.

* Every map can be replaced by a cofibration via the mapping cylinder construction

* Every local diffeomorphism is also a local homeomorphism and therefore an open map.

Every element x of G gives rise to a tensor-preserving self-conjugate natural transformation via multiplication by x on each representation, and hence one has a map.

Every map has these two bases, but each map has a different pattern of fixed terrain features.

Every few minutes she would awaken for a moment to review things: Stowey, yes, was on his way south, and the two boys were away in school, and nothing was burning on the stove, and Lucretia was coming for dinner and bringing three guests of hers.

Every associative R-algebra arises this way.

Every cleric in Holy Orders and every member of a religious order must publicly join in or privately read aloud ( i. e. using the lips as well as the eyes — it takes about two hours in this way ) the whole of the Breviary services allotted for each day.

" More immediately, though, he called for a massive build-up of U. S. arms production: " Every realist knows that the democratic way of life is at this moment being ' directly assailed in every part of the world … The need of the moment is that our actions and our policy should be devoted primarily — almost exclusively — to meeting this foreign peril.

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

# Moral law of karma: Every action ( by way of body, speech, and mind ) will have karmic results ( a. k. a. reaction ).

* 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 view of reality that is introduced in the story is later derided in some way, whether that view is traditional or iconoclastic.

Every ear attends ... his eloquent words move the heart, convince the reason, and tell the weak and wavering which way to go.

Every continent has at least one such notable institute, with North America and Europe leading the way forward.

; Every Day / A Heart Full Of Love ( Reprise ): Valjean arrives in the middle of a love scene between Cosette and Marius and decides not to stand in the way of their happiness.

" I might easily have written this story in the traditional manner [...] Every novelist knows the recipe [...] It is not very difficult to follow a simple, chronological scheme which the critics will understand [...] But I, after all, am trying to tell the story of this Chapelizod family in a new way.

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.

* Émile Coué ( 1857 – 1926 ) pharmacist, hypnotist, and creator of La méthode Coué (" Every day, in every way, I'm getting better and better ').

§ 1: " Every subject expects from the territorial prince security and protection, so it is the duty of the territorial prince, the rights of subjects to determine clearly and to guide the way of the actions how it is needed by universal and special prosperity.

Every smooth manifold defined in this way has a natural diffeology, for which the plots correspond to the smooth maps from open subsets of R < sup > n </ sup > to the manifold.

Every day is a new way.

Every man being organized in a particular way has, of necessity, an aim, the fulfilment of which is good ; and he has faculties for accomplishing it, directed by reason.

Every enterprise constrains behavior in some way, and this is closely related to constraints on what data may or may not be updated.

Every sigma-ideal on X can be recovered in this way by placing a suitable measure on X, although the measure may be rather pathological.

During his career as writer and while living in the mountains, Muir continued to experience the " presence of the divine in nature ," writes Holmes From Travels in Alaska: " Every particle of rock or water or air has God by its side leading it the way it should go ; The clearest way into the Universe is through a forest wilderness ; In God's wildness is the hope of the world.

Every Boolean algebra can be obtained in this way from a suitable topological space: see Stone's representation theorem for Boolean algebras.

Every side in AIK's group had the potential of going all the way: Arsenal, Barcelona och Fiorentina.