For each countable L ⊆ L0 plete L(N )-types p (with no parameters) such that N (cid:13)ℵ1 K (∃ ¯x) ∧ p( ¯x), is countable.
Abstract elementary classes near aleph_1
Then the comcan be represented as Γ = (cid:80)∞ pletely random measure with L´evy measure ν (dθ, dπ) k=1 πk δ(θk ) .
A unifying representation for a class of dependent random measures
BN model performs poorly on the testing pletely dependent nodes.
Estimating Well-Performing Bayesian Networks using Bernoulli Mixtures
Once these basic com pleteness results are established, it is relatively easy to derive Theorem 33 (also cf. our proof of Theorem 36).
Fixed-parameter tractability, definability, and model checking
We consider the set of good, hard or undecided descendants (see the last deﬁnition in subsection 5.1 in for a description of these notions) of the comg (φ), l ∈ Θσ with ~ξ -length σ, and proceed to integrate plete contractions C l,ι by parts as explained in the algorithm for the super divergence formula in .
The decomposition of Global Conformal Invariants I: On a conjecture of Deser and Schwimmer
Rijkl plete contraction C j which have a factor ∇φh contracting against an internal index.
The decomposition of global conformal invariants VI: The proof of the proposition on local Riemannian invariants
Such languages have attracted much attention lately: for instance, the complexity of the corresponding Csp problems has been comIn the complexity was classiﬁed for domains |D| ≤ 3 pletely classiﬁed. and necessary conditions for tractability was proved for the general case.
Approximability of Integer Programming with Generalised Constraints
This comTherefore, we obtain (cid:3) pletes the proof.
A note for Gromov's distance functions on the space of mm-spaces
Justi ﬁcation of the ﬁrst identity can be carried out in exact pletes the proof of the lemma.
On a result of Gelfand, Kapranov, and Zelevinsky
Then the assumptions of the Whitney Extension Theorem 3.2 are ful ﬁlled, and hence the proof of Theorem 3.1 is com plete.
On the Morse-Sard property and level sets of $W^{n,1}$ Sobolev functions on ${\mathbb R}^n$
ComCl(LE ) = {[((cid:101)γ, a)] | (cid:101)γ ∈ L SO(E ) and a ∈ Cl(LRn )} pleteness).
A bundle gerbe construction of a spinor bundle from the smooth free loop of a vector bundle
Au+Au 200 GeV min. bias pletely independent analysis with different systematic uncertainties based on external conversion photons.
Photons and low-mass dileptons: results from PHENIX
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