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Every Fredholm kernel has a representation in the form
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Every and kernel
Every character is automatically continuous from A to C, since the kernel of a character is a maximal ideal, which is closed.
Every kernel, like any other equaliser, is a monomorphism.
Every morphism f: G → H in Grp has a category-theoretic kernel ( given by the ordinary kernel of algebra ker f =
According to Cantwell " Every day is a new and fine illusion " in which always lies a kernel of truth.
Every and has
Every soldier in the army has, somewhere, relatives who are close to starvation.
Every woman has had the experience of saying no when she meant yes, and saying yes when she meant no.
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 calculation has been made independently by two workers and checked by one of the editors.
Every retiring person has a different situation facing him.
Every family of Riviera Presbyterian Church has been asked to read the Bible and pray together daily during National Christian Family Week and to undertake one project in which all members of the family participate.
Every community, if it is alive has a spirit, and that spirit is the center of its unity and identity.
`` Every woman in the block has tried that ''.
: 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.
** Zorn's lemma: Every non-empty partially ordered set in which every chain ( i. e. totally ordered subset ) has an upper bound contains at least one maximal element.
The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.
** Tukey's lemma: Every non-empty collection of finite character has a maximal element with respect to inclusion.
** Antichain principle: Every partially ordered set has a maximal antichain.
** Every vector space has a basis.
* Every small category has a skeleton.
* Every continuous functor on a small-complete category which satisfies the appropriate solution set condition has a left-adjoint ( the Freyd adjoint functor theorem ).
** Every field has an algebraic closure.
** Every field extension has a transcendence basis.
** Every Tychonoff space has a Stone – Čech compactification.
* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =
Every unit of length has a corresponding unit of area, namely the area of a square with the given side length.
Every field has an algebraic extension which is algebraically closed ( called its algebraic closure ), but proving this in general requires some form of the axiom of choice.
Every ATM cell has an 8-or 12-bit Virtual Path Identifier ( VPI ) and 16-bit Virtual Channel Identifier ( VCI ) pair defined in its header.
Every and representation
Every real number has a ( possibly infinite ) decimal representation ; i. e., it can be written as
Every rational number has a unique representation as an irreducible fraction.
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 rational number has an essentially unique continued fraction representation.
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 Boolean algebra can be obtained in this way from a suitable topological space: see Stone's representation theorem for Boolean algebras.
* Every character value is a sum of n m < sup > th </ sup > roots of unity, where n is the degree ( that is, the dimension of the associated vector space ) of the representation with character χ and m is the order of g. In particular, when F is the field of complex numbers, every such character value is an algebraic integer.
Every symmetric group has a one-dimensional representation called the trivial representation, where every element acts as the one by one identity matrix.
( 3 ) Every unitary representation of G that has an ( ε, K )- invariant unit vector for any ε > 0 and any compact subset K, has a non-zero invariant vector.
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 and form
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 pair of congruence relations for an unknown integer x, of the form x ≡ k ( mod a ) and x ≡ l ( mod b ), has a solution, as stated by the Chinese remainder theorem ; in fact the solutions are described by a single congruence relation modulo ab.
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 summer form mid-June to early July, The Heart of America Shakespeare Festival has a production at Southmoreland Park near the Nelson-Atkins Museum.
Every RFC is submitted as plain ASCII text and is published in that form, but may also be available in other formats.
Every form is the delimitation of a surface by another one ; it possesses an inner content, the effect it produces on one who looks at it attentively.
Every synset contains a group of synonymous words or collocations ( a collocation is a sequence of words that go together to form a specific meaning, such as " car pool "); different senses of a word are in different synsets.
Every twin prime pair except ( 3, 5 ) is of the form ( 6n − 1, 6n + 1 ) for some natural number n, and with the exception of < var > n </ var > = 1, < var > n </ var > must end in 0, 2, 3, 5, 7, or 8.
Every dual number has the form z = a + bε with a and b uniquely determined real numbers.
" Every adult had to fill out a form detailing his or her past.
Every context-free grammar can be transformed into an equivalent grammar in Greibach normal form.
Every religion on Earth see there god in the form of light, the spread of some beam light, Islam noor, Christian rays of light it nothing but it Shiva.
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 ".
In Sikhism, Every soul who have taken form or born on earth is called Avtar.
Long created the Share Our Wealth program in 1934 with the motto " Every Man a King ", proposing new wealth redistribution measures in the form of a net asset tax on corporations and individuals to curb the poverty and homelessness endemic nationwide during the Great Depression.
Every acre was owned by someone, either a private individual or by government in the form of the Crown.
Every decision made by three of these " deputations " — and in each of them the lower clergy formed the majority — received ratification for the sake of form in general congregation, and if necessary led to decrees promulgated in session.
The title " Every Good Boy Deserves Favour " was borrowed, tongue-in-cheek, from a mnemonic used to remember the musical notes that form the lines of the treble clef: EGBDF.
Ongoing acrimony between the brothers, however, led to Tommy Dorsey's walking out to form his own band in 1935, just as the orchestra was having a hit with " Every Little Moment.
Every building in Regent Street is protected as a Listed Building, at least Grade II status, and together they form the Regent Street Conservation Area.
Every action has some impact in the environment, and the environment provides feedback in the form of rewards that guides the learning algorithm.
Every Wake Forest undergraduate student who lives on campus is required to sign up for some form of a meal plan in coordination with Aramark.
1.009 seconds.