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1  (requiring manual reduction), and grade IV (irreducible).
2 o mean that signal uncertainties are largely irreducible.
3            Suppose X is a (smooth projective irreducible algebraic) curve over a finite field k.
4 ary, but time independent and ergodic (i.e., irreducible and aperiodic).
5 d SOC estimation, addressing both aleatoric (irreducible) and epistemic (reducible) sources of uncert
6 is based upon the rich and deep formalism of irreducible biochemical networks.
7 l evidence that the stopband exists over the irreducible Brillouin zone of the unit cell of the metam
8 anges are caused by symmetry breaking of the irreducible building blocks, with the formation of trans
9     The resulting representation is normally irreducible, but splits in the case of the K0 into two P
10 omprised of six basic (i.e., psychologically irreducible) categories, and instead suggesting four.
11                By fully unfolding a system's irreducible cause-effect power, the distinctions and rel
12                               A functionally irreducible complex contains multiple copies of three pr
13 ng frames, can be regarded as an example of "irreducible complexity." To address the biochemical func
14 but splits in the case of the K0 into two P0-irreducible components that are mixed by the excess of t
15 at exhibits the decomposition of R* into its irreducible components.
16 at an identity: an experience is a maximally irreducible conceptual structure (MICS, a constellation
17 ategies.We also developed a method to detect irreducible differences between the best possible automa
18 asizes the extent to which any network is an irreducible entity.
19                              Grounded in the irreducible error theorem, IT-pai identifies dimensionle
20 tion, with l parts, and let F(lambda) be the irreducible finite dimensional representation of GL(m) a
21 ransform the cluster stability problem in an irreducible form.
22 ain; we should expect to see a great deal of irreducible functional diversity in the brain at multipl
23 ysical examination confirmed an apple-sized, irreducible hernia in the right inguinal region.
24                                 The study of irreducible higher-order interactions has become a core
25 e report on the discovery of a new family of irreducible (i.e., fully reduced) electrolytes by mechan
26      Therefore, we should expect a degree of irreducible imprecision in quantitative correspondences
27 ecently, it has been suggested that there is irreducible imprecision in such climate models that mani
28 y, and models with a significant new type of irreducible imprecision involving many fast, unstable mo
29      A systematic approach to deal with this irreducible imprecision is advocated through algorithms
30 s allow an estimate of the level of relevant irreducible imprecision.
31 ganic chemistry: they are widely accepted as irreducible in the synthetic chemistry regime.
32                                The amount of irreducible internal noise in spike trains, an important
33     If G is such a Lie group and Gamma is an irreducible lattice of G it turns out that the subgroup
34 nd in parallel, give rise to intertwined and irreducible mechanisms describing the complex chemical t
35 e 4-point propagators that contribute to the irreducible memory function into products of independent
36 pproximations are formulated in terms of the irreducible memory function, and we assess their efficac
37 eactions on the surface of catalysts with an irreducible metal-lanthanum, which is significantly diff
38 omputations that have evolved in response to irreducible noise during neural information processing.
39 d not be assumed to arise from fundamentally irreducible noise sources.
40 ntial to improve decoding in the presence of irreducible noise.
41 neral assumptions on g and D we construct an irreducible nonsingular variety U(c), a finite etale mor
42 pe states, treating the genotype variable as irreducible or unaltered by other colocalizing forms of
43 aph, we show how to output directly only the irreducible overlaps, significantly shrinking memory req
44 genome size, one of the most fundamental and irreducible properties of an organism.
45 eafloor diking-eruptive events represent the irreducible, quantum events of upper oceanic crustal acc
46 te magnetic structure consistent with Gamma3 irreducible representation appears, and the k component
47 the possibility that quantum states of other irreducible representation are mixed into the ground sta
48 lov algebra attached to a finite dimensional irreducible representation of a complex semisimple Lie g
49 uency mode that transforms as the asymmetric irreducible representation of the group.
50                       Ideal knots provide an irreducible representation of the knot, and they have so
51  We construct a C*-algebra that has only one irreducible representation up to unitary equivalence but
52                   To each finite dimensional irreducible representation Vlambda of F we assign a mult
53 ic peaks develop, consistent with the Gamma4 irreducible representation, along with a splitting of th
54 ut may or may not involve higher-dimensional irreducible representations (irreps) of the nonabelian t
55 ich we conjecture that the multiplicities of irreducible representations in various bi-degrees are gi
56 tation Vlambda of F we assign a multiplet of irreducible representations of B with m elements in each
57                    It is also shown that the irreducible representations of orbifolds of rank one lat
58 ecting the light and heavy fermions onto the irreducible representations of the magnetic translation
59 al of work has gone into construction of the irreducible representations of the symmetric group n (an
60 ntroduce the theory of the partially reduced irreducible representations which we use to obtain a sim
61 s in large Poincare systems leads to complex irreducible spectral representations for the Liouville-v
62 on at this synapse, and gain varies with the irreducible statistical fluctuations in photon arrival.
63 ructural variants and highlight the "Ig-fold irreducible structural signature" shared by all of them.
64  the single-site gold species is the same on irreducible supports as on reducible ceria, iron oxide,
65 ar (beta(J)(=1)) and octupolar (beta(J)(=3)) irreducible tensor contributions to the overall beta ten
66 iences; integration says that it is unified--irreducible to non-interdependent components; exclusion
67 hese results suggest that sex and gender are irreducible to one another not only in society but also
68 rs of complex biomolecular systems are often irreducible to the elementary properties of their indivi
69                                              Irreducible uncertainties regarding the dose-response cu
70 riability in projections to be viewed as the irreducible uncertainty component of climate.
71 unt for the cost of aleatory uncertainty-the irreducible uncertainty that remains even when the true
72 kin conductance all tracked the evolution of irreducible uncertainty.
73 to signals under conditions of reducible and irreducible uncertainty.
74 he matrices formed by the fusion rules among irreducible V-modules are diagonalized by the matrix giv
75 n V satisfies in addition the condition that irreducible V-modules not equivalent to V have no nonzer
76 au |--> -1/tau on the space of characters of irreducible V-modules.
77                             We show that the irreducible water saturation increases while the normali