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 eigenvalue of a Unitary matrix has absolute value.

Every adjunction 〈 F, G, ε, η 〉 gives rise to an associated monad 〈 T, η, μ 〉 in the category D. The functor

Every object would also have a read timestamp, and if a transaction T < sub > i </ sub > wanted to write to object P, and the timestamp of that transaction is earlier than the object's read timestamp ( TS ( T < sub > i </ sub >) < RTS ( P )), the transaction T < sub > i </ sub > is aborted and restarted.

Every year, dozens of graduates go on to elite colleges, and T. C.

# Every K3 surface is Kähler ( by a theorem of Y .- T. Siu ).

* Every triangle group T is a discrete subgroup of the isometry group of the sphere ( when T is finite ), the Euclidean plane ( when T has a Z + Z subgroup of finite index ), or the hyperbolic plane.

Every degree of freedom in the energy is quadratic and, thus, should contribute k < sub > B </ sub > T to the total average energy, and k < sub > B </ sub > to the heat capacity.

Every year the best pilots from all the squadrons of the Hellenic Air Force, are trained in KE. A. T.

Every cotree T defines a cograph G having the leaves of T as vertices, and in which the subtree rooted at each node of T corresponds to the induced subgraph in G defined by the set of leaves descending from that node:

Every year, T. J. used participate in the annual St. " Bald-ricks " Children ’ s Cancer Fundraiser.

Irreducible Needs of Children: What Every Child Must Have to Grow, Learn, and Flourish ; Copyright 2000 by T. Berry Brazelton, M. D.

Every author agreed on T < sub > 0 </ sub >, T < sub > 1 </ sub >, and T < sub > 2 </ sub >.

Every inverse semigroup S has a E-unitary cover ; that is there exists an idempotent separating surjective homomorphism from some E-unitary semigroup T onto S.

# Every elementary substructure of a model of a theory T also satisfies T ; hence it is a submodel.

Every tile belongs to the two suits of its two values, e. g. 0 – 3 belongs both to the blank suit ( or 0 suit ) and to the 3 suit.

* Every finite topological space gives rise to a preorder on its points, in which x ≤ y if and only if x belongs to every neighborhood of y, and every finite preorder can be formed as the specialization preorder of a topological space in this way.

Every pair of points belongs to a unique line.

Every human action belongs in one of these five categories.

# Every noun belongs to a unique number class.

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 way that any human being of any race or nationality, at any period of human history, has moved rhythmically to express himself, belongs to the dance.

Every Spanish verb belongs to one of three form classes, characterized by the infinitive ending :-ar ,-er, or-ir — sometimes called the first, second, and third " conjugations ", respectively.

Every Hindu Nadar belongs to a kuttam ( assemblage ) through patrilineal descent, and each kuttam has a common family deity.

Every time Toot goes on a trip, Toot & Puddle together say " A boomerang flies, but always returns home where it belongs.

# Every node in the set belongs to one player.

# Every node in the set belongs to one player.

Every player character belongs to one of the ten Factions.

# Every vertex in G either belongs to D or is adjacent to a vertex in D. That is, D is a dominating set of G.

Every student belongs to a house, and there is a housemaster who is assisted by other members of Staff, the House Captain and House Prefects.

* Let K < sup > a </ sup > be an algebraic closure of K containing L. Every embedding σ of L in K < sup > a </ sup > which restricts to the identity on K, satisfies σ ( L ) = L. In other words, σ is an automorphism of L over K.

Every prime dividing the order of G occurs in some set σ ( M ).

# Every group ring of a finite group over a field is a Frobenius algebra, with Frobenius form σ ( a, b ) the coefficient of the identity element in a · b. This is a special case of example 2.

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 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.

Four other hits from the album made the Pop top 20: " Every Heartbeat " ( No. 2 ), " That's What Love Is For " ( No. 7 ), " Good For Me " ( No. 8 ), and " I Will Remember You " ( No. 20 ).

Every year, the European Joint Conferences on Theory and Practice of Software ( ETAPS ) sponsors the International Conference on Compiler Construction ( CC ), with papers from both the academic and industrial sectors.

Every subset A of the vector space is contained within a smallest convex set ( called the convex hull of A ), namely the intersection of all convex sets containing A.

* 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.

According to medical intuitive and author, Caroline Myss, who described chakras in her work Anatomy of the Spirit ( 1996 ), " Every thought and experience you've ever had in your life gets filtered through these chakra databases.

Every other aspect of film making originated in a different medium than film ( photography, art direction, writing, sound recording ), but editing is the one process that is unique to film.

Every Mac made between 1986 and 1998 has a SCSI port on the back, making external expansion easy ; also, " toaster " Compact Macs did not have easily accessible hard drive bays ( or, in the case of the Mac Plus, any hard drive bay at all ), so on those models, external SCSI disks were the only reasonable option.

In 2007, Iranian filmmaker Maziar Bahari selected O Dreamland and Every Day Except Christmas ( 1957 ), a record of a day in the old Covent Garden market, for his top 10 classics from the history of documentary.

Also among the early 32 members were syndicated panel cartoonists Dave Breger ( Mister Breger ), George Clark ( The Neighbors ), Bob Dunn ( Just the Type ) and Jimmy Hatlo ( They'll Do It Every Time ); freelance magazine cartoonists Abner Dean and Mischa Richter, editorial cartoonists Rube Goldberg ( New York Sun ), Burris Jenkins ( New York Journal American ), C. D. Batchelor ( Daily News ) and Richard Q. Yardley ( The Baltimore Sun ); sports cartoonist Lou Hanlon ; illustrator Russell Patterson and comic book artists Joe Shuster and Joe Musial.

Every person found infected was certified of the fact, removed to a hospital provided ( if his condition allow ), and kept under the orders of the medical officer.

Good Trouble ( 1982 ) and Wheels Are Turnin ' ( 1984 ) were follow-up albums which also did well commercially, the former containing the hit singles " Keep the Fire Burnin '" ( U. S. # 7 ), " Sweet Time " ( U. S. # 26 ) and the un-ranked " The Key " and the latter containing the # 1 hit single " Can't Fight This Feeling " plus three more hits: " I Do ' Wanna Know " ( U. S. # 29 ), " One Lonely Night " ( U. S. # 19 ), " Live Every Moment " ( U. S. # 34 ) and the un-ranked " Break His Spell ".

Every quark in the universe does not attract every other quark in the above distance independent manner, since colour-confinement implies that the strong force acts without distance-diminishment only between pairs of single quarks, and that in collections of bound quarks ( i. e., hadrons ), the net colour-charge of the quarks cancels out, as seen from far away.

Every URL consists of some of the following: the scheme name ( commonly called protocol ), followed by a colon, two slashes, then, depending on scheme, a server name ( exp.

Every element s, except a possible greatest element, has a unique successor ( next element ), namely the least element of the subset of all elements greater than s. Every subset which has an upper bound has a least upper bound.

Every second ( or more often in advanced levels ), a piece comes in from the side and possibly pushes other pieces forward.