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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:
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Every and T
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 eigenvalue of T belongs to σ ( T ), but σ ( T ) may contain non-eigenvalues.
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 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 and defines
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 integrable subbundle of the tangent bundle — that is, one whose sections are closed under the Lie bracket — also defines a Lie algebroid.
* Every bundle of Lie algebras over a smooth manifold defines a Lie algebroid where the Lie bracket is defined pointwise and the anchor map is equal to zero.
Every organism has an outer boundary which defines an Innenwelt or inner world and an Umwelt, surround-world or environment.
Consider a Lie algebra g over a field K. Every element x of g defines the adjoint endomorphism ad ( x ) ( also written as ad < sub > x </ sub >) of g with the help of the Lie bracket, as
Every byte defines the pixel pattern for a column.
Every AP defines one or several Conformance Classes, suitable for a particular kind of product or data exchange scenario.
Every AP defines a top data models to be used for data exchange, called the Application Integrated Model ( AIM ) or in the case of a modular AP called Module Integrated Models ( MIM ).
Every check has a target number ( TN ) which defines how easy the task is to succeed.
* Every control in WPF has a default ‘ template ’ that defines its visual tree.
The Strategic Plan defines the mission of KCLSU is to help " Every student to have a great experience at King ’ s "< ref >
Every solution of the second half g of the equation defines a unique direction for x via the first half f of the equations, while the direction for y is arbitrary.
Section 4 of the Constitution of Barbados defines citizens of Barbados as " Every person born in Barbados after the 29th November 1966.
Every game object is defined by its appearance ( graphics, animations, captions, fonts ) and by a script, which defines the underlying logic of a given game object and its responses to game events.
Every and cograph
Every Turán graph is a cograph ; that is, it can be formed from individual vertices by a sequence of disjoint union and complement operations.
Every cograph is distance-hereditary, a comparability graph, and perfect.
Every and G
Group actions / representations: Every group G can be considered as a category with a single object whose morphisms are the elements of G. A functor from G to Set is then nothing but a group action of G on a particular set, i. e. a G-set.
* Every group G acts on G, i. e. in two natural but essentially different ways:, or.
Every homomorphism f: G → H of Lie groups induces a homomorphism between the corresponding Lie algebras and.
Every open subgroup H is also closed, since the complement of H is the open set given by the union of open sets gH for g in G
* Every connected graph G admits a spanning tree, which is a tree that contains every vertex of G and whose edges are edges of G.
Every adjunction 〈 F, G, ε, η 〉 extends an equivalence of certain subcategories.
Every inner automorphism is indeed an automorphism of the group G, i. e. it is a bijective map from G to G and it is a homomorphism ; meaning ( xy )< sup > a </ sup >
Every non-inner automorphism yields a non-trivial element of Out ( G ), but different non-inner automorphisms may yield the same element of Out ( G ).
Water for Every Farm: A practical irrigation plan for every Australian property, K. G.
Every one of the infinitely many vertices of G can be reached from v < sub > 1 </ sub > with a simple path, and each such path must start with one of the finitely many vertices adjacent to v < sub > 1 </ sub >.
Every smooth function G over the symplectic manifold generates a one-parameter family of symplectomorphisms and if
Every year at the International Astronautical Congress, three prestigious awards are given out: the Allan D. Emil Memorial Award, the Franck J. Malina Astronautics Medal and the Luigi G. Napolitano Award.
Every such regular cover is a principal G-bundle, where G = Aut ( p ) is considered as a discrete topological group.
Every reduced word is an alternating product of elements of G and elements of H, e. g.
* Every Polish space is homeomorphic to a G < sub > δ </ sub > subspace of the Hilbert cube, and every G < sub > δ </ sub > subspace of the Hilbert cube is Polish.
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