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 self-adjoint operator is normal.

Every symmetric operator is closable.

Every self-adjoint operator is maximal symmetric.

Every self-adjoint operator is densely defined, closed and symmetric.

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 unit of length has a corresponding unit of area, namely the area of a square with the given side length.

Every sedenion is a real linear combination of the unit sedenions 1, < var > e </ var >< sub > 1 </ sub >, < var > e </ var >< sub > 2 </ sub >, < var > e </ var >< sub > 3 </ sub >, ..., and < var > e </ var >< sub > 15 </ sub >,

Every octonion is a real linear combination of the unit octonions:

Every vector in the space may be written as a linear combination of unit vectors.

* Every non-empty Baire space is of second category in itself, and every intersection of countably many dense open subsets of X is non-empty, but the converse of neither of these is true, as is shown by the topological disjoint sum of the rationals and the unit interval 1.

" Every sensation ," says William James, " presents itself as an indivisible unit ; and it is quite impossible to read any clear meaning into the notion that they are masses of units combined.

Every other borough in Connecticut is a special services district located within another town, the unit of Connecticut local government.

Every unit typically gets its own mailbox with individual keys to it.

Every airport has now been given an APSU ( Airport Security Unit ), a trained unit to counter unlawful interference with civil aviation.

Every unit belongs to a level of technology ( tech level ); the higher the level, the more advanced the unit and the more resources and thus time required to construct it.

Every extra unit of information in a dialogue competes with the relevant units of information and diminishes their relative visibility.

Every Royal Navy unit available was then given the task of destroying the Bismarck.

Every 20 Tactics allow the player to control 1 more unit in battle, from the basic 6 units up to 12 units with 120 Tactics.

Every 2 Clout raises a single unit quality, which when enough allows units to be upgraded into higher Marks and / or different units.

Every other region has its own K-9 unit.

Every student is continuously evaluated, corrected, and mentored, with special attention paid to the smallest of details, such as the placement of a finger within 1 / 4 inch of its required location along a trouser seam, angle of the weapon, and positioning of the student in relation to the unit.

Every commodity is listed separately, and there is never any sign of equivalence between one unit and another.

Every Shadow ship has a sentient being enslaved as its central processing unit ( CPU ).

Every unit with a radio is given a set of DRYAD code sheets.

Every unit holds Parade Nights around 2 – 4 hours long weekly during School Terms.

Every passing moment would see more Prussian brigades passing through Wavre on the way to Waterloo ; by 7th and 8th Brigades passed through Wavre and would next be seen at pushing an Imperial Guard unit out of the woods south of Plancenoit on the Waterloo battlefield.

( 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 character adds a certain amount of defense or attack to a unit.

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.