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Page "Unbounded operator" ¶ 46
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Every and self-adjoint
Theorem Every self-adjoint f in A * can be written as f
Every self-adjoint operator is maximal symmetric.
Every self-adjoint operator is densely defined, closed and symmetric.

Every and operator
Every physical quantity has a Hermitian linear operator associated to it, and the states where the value of this physical quantity is definite are the eigenstates of this linear operator.
Every spin network is an eigenstate of each such operator, and the area eigenvalue equals
Every generalized eigenvalue of a normal operator is thus genuine.
Every operator also received 80 hours of medical training.
Every delta operator ' has a unique sequence of " basic polynomials ", a polynomial sequence defined by three conditions:
Every motion of the lock is derived from movement of the hands rather than elements beyond the operator ’ s control, such as dirt, rust, or memory.
* Every first time purchaser of an automobile deprived the streetcars operator of income whilst simultaneously created additional traffic congestion which often reduced service speeds and thereby increased their operational costs and making the services less attractive to the remaining users.
Is fundamental for the many-body theory that Every operator can be expressed in terms of annihilation and creation operators.
Every operator can then route calls directly to their own customers, or pass them on to another operator if the call is not for one of their customers.
Every closure operator on a poset has many fixed points ; these are the " closed elements " with respect to the closure operator, and they are the main reason the closure operator was defined in the first place.
Every symmetric operator is closable.
Every operator in the unit is cross-trained in a variety of " low-visibility " skills such as weapons, survival, sniping, medic, small boat handling, driving, tracking, air ops etc.
where the rank refers to the rank of the linear operator F. Every nonsimple bivector can be written as a sum of at most two simple ones.

Every and is
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 and normal
Every context-sensitive grammar which does not generate the empty string can be transformed into an equivalent one in Kuroda normal form.
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 normal regular space is completely regular, and every normal Hausdorff space is Tychonoff.
Every time the Flaminica saw a lightning bolt ( Jupiter's distinctive instrument ), she was prohibited from carrying on with her normal routine until she placated the gods.
* Every connected graph with only countably many vertices admits a normal spanning tree.
Every context-free grammar can be transformed into an equivalent grammar in Greibach normal form.
Every Hermitian matrix is a normal matrix, and the finite-dimensional spectral theorem applies.
Every formula in classical logic is equivalent to a formula in prenex normal form.
Every first-order formula is logically equivalent ( in classical logic ) to some formula in prenex normal form.
Every first-order formula can be converted into Skolem normal form while not changing its satisfiability via a process called Skolemization ( sometimes spelled " Skolemnization ").
:* Every generalized eigenvector of a normal matrix is an ordinary eigenvector.
Every zombie is restored to normal when Hal Jordan defeats Nekron.
Every year the club hosts a two week long ( three weekends ) camp at Bohemian Grove, which is notable for its illustrious guest list and its eclectic Cremation of Care ceremony which mockingly burns " Care " ( the normal woes of life ) with grand pageantry, pyrotechnics and brilliant costumes, all done at the edge of a lake and at the base of a forty-foot ' stone ' owl statue.
One particular ad line read " Every normal skin needs these two creams ".
Every normal mammalian eye has a scotoma in its field of vision, usually termed its blind spot.
Every ( normal ) Boolean algebra with operators can be represented as a field of sets on a relational structure in the sense that it is isomorphic to the complex algebra corresponding to the field.
Every grammar in Kuroda normal form is monotonic, and therefore, generates a context-sensitive language.
Every year thereafter Battle Bowl took place with only one ring and a normal battle royal.
Every homeworld ( except Gnasty's World ) contains a flying challenge level where Spyro's normal gliding ability is replaced with the ability to fly freely.
Every ( nontrivial ) group has a normal series of length 1, namely
Every beach soccer match is won by one team, with the game going into three minutes of extra time, followed by a penalty shootout if the score is still on level terms after normal time.

4.039 seconds.