Any induced subgraph of a comparability graph is itself a comparability graph, formed from the restriction of the partial order to a subset of its elements.

Any well-formed part of a graph is a subgraph.

# Any node in D can reach any other node in D by a path that stays entirely within D. That is, D induces a connected subgraph of G.

Any preordered set ( P, ≤) forms a small category, where the objects are the members of P, the morphisms are arrows pointing from x to y when x ≤ y.

Other notable roles include Mary Elizabeth ( O ' Brien ) Sims on the Lifetime Television drama series Any Day Now ( 1998 – 2002 ), for which she was nominated for two Screen Actors Guild Award for Outstanding Performance by a Female Actor in a Drama Series, the voice of Little Bo Peep in the first two Toy Story films, a supporting role in the John Hughes's Pretty in Pink as well as guest-starring roles on such CBS's television series as Magnum, P. I., Joan of Arcadia, Close to Home, Two and a Half Men and ABC ' Men in Trees, Ugly Betty and Boston Legal.

Any such point P will contain zero area and so will have zero probability of being hit by the dart.

His novel Babylon (" Generation П " or " Generation P " is the Russian title ) bears on its cover the inscription, " Any thought that occurs in the process of reading this book is subject to copyright.

Any strongly NP-hard optimization problem with a polynomially bounded objective function cannot have an FPTAS unless P = NP.

Any other sequence satisfying this recurrence relation can be represented as a linear combination of the Lucas sequences U < sub > n </ sub >( P, Q ) and V < sub > n </ sub >( P, Q ).

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Any canonical transformation involving a type-2 generating function G < sub > 2 </ sub >( q, P, t ) leads to the relations

Any friction would result in a pressure build-up in the syringe and would lead to an inaccurate measurement, that is, a lower amount of gas would be determined, than really obtained .< ref > Schmid, H. P. " Pressure and Gas Laws.

* Any four points on C span P < sup > 3 </ sup >.

Any M / E section can be selected as a source in the P / P stage, making the mixer operations much more versatile, since effects or keys can be composed " offline " in an M / E and then go " live " at the push of one button.

2000 Primetime Emmy Awards — ( Nominated ) Outstanding Costumes for a Series: Mary Anne Aston ( Costume Supervisor ); Elizabeth P. Palmer ( Costume Designer )< ref >" Any Day Now.

Any node in the data structure can be reached by starting at root node and repeatedly following references to either the left or right child.

A good example is a local area network ( LAN ): Any given node in the LAN has one or more physical links to other devices in the network ; graphically mapping these links results in a geometric shape that can be used to describe the physical topology of the network.

Any such change will be detected by the reachability protocol which each node runs with its neighbors.

Any packet headed to that destination arriving at either node will loop between the two, hence the name.

Any other client can then retrieve the contents of the file by again hashing to produce and asking any DHT node to find the data associated with with a message.

Any set of sequences can be represented as paths in a tree, by forming a tree node for every prefix of a sequence and making the parent of one of these nodes represent the sequence with one fewer element ; the tree formed in this way for a set of strings is called a trie.

Any node whose lower bound is greater than can be discarded.

* Any unique node is a potential bottleneck

Any other node receiving the RTS or CTS frame should refrain from sending data for a given time ( solving the hidden node problem ).

Any node that does not receive a prepare message before the timeout expires aborts the commit.

Any node that has more cannibals than missionaries on either bank is in an invalid state, and is therefore removed from further consideration.

Any node can be a publisher, subscriber, or both simultaneously.

Any node can launch a process and have that process migrate to the node with the best performance characteristics for executing that particular process.

* Any ring of characteristic n is a ( Z / nZ )- algebra in the same way.

Any subset of R < sup > n </ sup > ( with its subspace topology ) that is homeomorphic to another open subset of R < sup > n </ sup > is itself open.

Any symmetry group whose elements have a common fixed point, which is true for all finite symmetry groups and also for the symmetry groups of bounded figures, can be represented as a subgroup of orthogonal group O ( n ) by choosing the origin to be a fixed point.

Any n × n permutation matrix can be constructed as a product of no more than n − 1 transpositions.

Any orthogonal matrix of size n × n can be constructed as a product of at most n such reflections.

Any rotation matrix of size n × n can be constructed as a product of at most n ( n − 1 )/ 2 such rotations.

Any n × n matrix A of the form

To show that U ( n ) is connected, recall that any unitary matrix A can be diagonalized by another unitary matrix S. Any diagonal unitary matrix must have complex numbers of absolute value 1 on the main diagonal.

# Any smooth manifold of dimension n ≥ 3 admits a Riemannian metric with negative Ricci curvature.

for some p between 1 and n. Any two such expressions of q ( at the same point m of M ) will have the same number p of positive signs.

* Any positive multiple of the repunit R < sub > n </ sub >< sup >( b )</ sup > contains at least n nonzero digits in base b.

Any covering space of a differentiable manifold may be equipped with a ( natural ) differentiable structure that turns p ( the covering map in question ) into a local diffeomorphism – a map with constant rank n.

Any n × n real symmetric matrix A determines a quadratic form q < sub > A </ sub > in n variables by the formula