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* Every constant function whose domain and codomain are the same is idempotent.
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Every and constant
Every contraction mapping is Lipschitz continuous and hence uniformly continuous ( for a Lipschitz continuous function, the constant k is no longer necessarily less than 1 ).
* k = 1 ( criticality ): Every fission causes an average of one more fission, leading to a fission ( and power ) level that is constant.
Every meromorphic function on D can be expressed as the ratio between two holomorphic functions ( with the denominator not constant 0 ) defined on D: any pole must coincide with a zero of the denominator.
Every craft produces its own marks, and the supply is kept constant, new marks only being produced to replace old ones.
* Every constant map is a plot.
Every polynomial in can be factorized into polynomials that are irreducible over F. This factorization is unique up to permutation of the factors and the multiplication of the factors by nonzero constants from F ( because the ring of polynomials over a field is a unique factorization domain whose units are the nonzero constant polynomials ).
Every instance of phase or chemical equilibrium is characterized by a constant.
Every constant function is locally constant.
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 maximally symmetric space has constant curvature.
Every empty function is constant, vacuously, since there are no x and y in A for which f ( x ) and f ( y ) are different when A is the empty set.
* Every constant function between topological spaces is continuous.
Every cumulant is just μ times the corresponding cumulant of the constant random variable X = 1.
Every battalion of the Regiment is at a constant readiness to deploy and is expected to be able to respond anywhere in the world within 18 hours.
Every variable load or constant requires its own separate Load instruction, instead of being bundled within the instruction which uses that value.
: Every evil has showered ever constant.
Every complete, connected, simply-connected manifold of constant negative curvature − 1 is isometric to the real hyperbolic space H < sup > n </ sup >.
Every year, students participate in international science exhibitions and are constant winners in international Olympic Games for science.
Every and function
: Every set has a choice function.
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.
** Every surjective function has a right inverse.
* Pseudocompact: Every real-valued continuous function on the space is bounded.
: Every effectively calculable function is a computable function.
Every effectively calculable function ( effectively decidable predicate ) is general recursive italics
Every effectively calculable function ( effectively decidable predicate ) is general recursive.
Every bijective function g has an inverse g < sup >− 1 </ sup >, such that gg < sup >− 1 </ sup > = I ;
Every entire function can be represented as a power series that converges uniformly on compact sets.
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 holomorphic function is analytic.
Every completely multiplicative function is a homomorphism of monoids and is completely determined by its restriction to the prime numbers.
Every polynomial P in x corresponds to a function, ƒ ( x )
Every primitive recursive function is a general recursive function.
Every time another object or customer enters the line to wait, they join the end of the line and represent the “ enqueue ” function.
Every function is a method and methods are always called on an object.
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 uniformly continuous function between metric spaces is continuous.
Every continuous function on a compact set is uniformly continuous.
Every output of an encoder can be described by its own transfer function, which is closely related to the generator polynomial.
Every continuous function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors.
Every and whose
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 root of a polynomial equation whose coefficients are algebraic numbers is again algebraic.
# Every sequence in A has a convergent subsequence, whose limit lies in A.
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 field theory of particle physics is based on certain symmetries of nature whose existence is deduced from observations.
Every cycle climaxes in the arrival of The Leveler, whose approach ( and fall ) is heralded by an ominous comet that appears in the sky.
Every rational number / has two closely related expressions as a finite continued fraction, whose coefficients can be determined by applying the Euclidean algorithm to.
Every congruence relation has a corresponding quotient structure, whose elements are the equivalence classes ( or congruence classes ) for the relation.
* Every connected graph G admits a spanning tree, which is a tree that contains every vertex of G and whose edges are edges of G.
Every morphism in a concrete category whose underlying function is injective is a monomorphism ; in other words, if morphisms are actually functions between sets, then any morphism which is a one-to-one function will necessarily be a monomorphism in the categorical sense.
Every morphism in a concrete category whose underlying function is surjective is an epimorphism.
Every family head in the Mafia selects a man whose characteristics already make him look approachable.
* Every root of a monic polynomial whose coefficients are algebraic integers is itself an algebraic integer.
She was raised there by her mother, Ellen Simmons, whose Sioux name was Taté Iyòhiwin ( Every Wind or Reaches for the Wind ).
* Every Parliament constituted in conformity with the laws of a sovereign State whose population it represents and on whose territory it functions may request affiliation to the Inter-Parliamentary Union.
" A man's home is his castle " is translated in Gor as, " Every man is an Ubar within the circle of his sword " ( The Ubar is a war-leader, a General who takes power at a time of crisis, and whose rule is tantamount to tyrant until the crisis is resolved.
* Every planar graph whose faces all have even length is bipartite.
During this period he lived with the French poet Pierre Martory, whose books Every Question but One ( 1990 ), The Landscape Is behind the door ( 1994 ) and The Landscapist he has translated ( 2008 ), as he has Jean Perrault ( Camouflage ), Max Jacob ( The Dice Cup ), Pierre Reverdy and Raymond Roussel.
Every governor since Ronald Reagan in 1968 has been subject to a recall effort, but Gray Davis was the first governor whose opponents gathered the necessary signatures to qualify for a special election.
Every artist she showed the script to had declined to take on the project, so it was offered to aspiring artist Arthur Adams, whose samples had been given to editor Carl Potts and Nocenti, his assistant editor, by editor Al Milgrom.
* Every integrable subbundle of the tangent bundle — that is, one whose sections are closed under the Lie bracket — also defines a Lie algebroid.
* Every subset of may be covered by a finite set of positive orthants, whose apexes all belong to
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