: 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 contraction mapping is Lipschitz continuous and hence uniformly continuous ( for a Lipschitz continuous function, the constant k is no longer necessarily less than 1 ).

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

Every cladogram is based on a particular dataset that was analyzed with a particular method.

Every question and method about differential equations has a discrete equivalent for difference equations.

Every antiseptic, however good, is more or less toxic and irritating to a wounded surface ; as a result, in surgery, the antiseptic method has been replaced by aseptic method, which is preventative in nature and relies on keeping free from the invasion of bacteria rather than destroying them when present.

Every one of these calendars has a year of 365 days, which is occasionally extended by adding an extra day to form a leap year, a method called " intercalation ", the inserted day being " intercalary ".

Every top-class golfer since has utilized this wedge design and technique, and the same club design and method are also used by amateur players around the world.

Every one of the Canadian attacks lost its push and determination after a few miles … the British and Canadian forces executed the operations in an inflexible, time wasting, method.

Every conceivable method of applying cutting fluid ( e. g., flooding, spraying, dripping, misting, brushing ) can be used, with the best choice depending on the application and the equipment available.

Every card, including warning cards, are a 10 % deduction of a fighter's purse, this method was aimed to prevent inaction.

Every disease and gene is assigned a six digit number of which the first number classifies the method of inheritance.

Every subsequent drilling team improves their method with each new effort.

Musically speaking, Bhekhirst's method is to sing a verse ( in itself very repetitive ) two, four or six times, then stop abruptly ( although the cassette's final piece, " Every Time I ", lasts for nearly seven minutes ).

Every analytical method used in forensic toxicology should be carefully tested by performing a validation of the method to ensure correct and indisputable results at all times.

The application of his mantra-like conscious autosuggestion, " Every day, in every way, I'm getting better and better " ( French: Tous les jours à tous points de vue je vais de mieux en mieux ) is called Couéism or the Coué method.

Every reader that would relate their application of the method to him became collaborators ( their names have always been quoted alongside the fact that have discovered, unless Dr Lefebure was asked not to ).

Every modeling technique has strengths and weaknesses, and the FDTD method is no different.

Every such Minister shall be nominated by Dáil Éireann on the recommendation of a Committee of Dáil Éireann chosen by a method to be determined by Dáil Éireann, so as to be impartially representative of Dáil Éireann.

Every time during battle he is nearly destroyed, however always foils his opponent's method after discovering a " weakness " or a potential flaw that he could use to his advantage.

Every meal can be eaten without any cooking ; when circumstances permit, the ideal method of preparation is to cook the entrees in a pressure cooker, heated on the standard issue Coleman stove, or by simply boiling the rations in its package in water.

Homer Jack notes in his reprint of this article, " To Every Briton " ( The Gandhi Reader ) that, " to Gandhi, all war was wrong, and suddenly it ' came to him like a flash ' to appeal to the British to adopt the method of non-violence.