Isomorphic classification of weak lp spaces

... Lp, ∞ spaces Proposition 3.5 Let < p < ∞ Then Lp, ∞ aα · {−1, 1}Iα α∈A ∼ Lp, ∞ aα · {−1, 1}Iα α∈A Lp, ∞ aα · {−1, 1}Iα α∈A 3.1 Representation of Purely Non-atomic Lp, ∞ Spaces Proof For any f ∈ Lp, ∞ ... [11] Notations related to weak Lp spaces and measure spaces will also be given In Section 1.2, we shall see the development of the study of isomorphism between weak...

Ngày tải lên: 15/09/2015, 17:10

... is closed in X and all d-convergent sequences in X are Cauchy, then A and B have an unique common fixed point Proof By definition 1.3, we deduce that two non -compatible self -mappings of (X, d) ... and the common fixed point of A and B is unique 2.6 Corollary Let (X, d) be a Hausdorff, o-metrizable space, A and B be two weakly compatible, non -compatible self -mappings of (X,...

Ngày tải lên: 23/07/2014, 13:20

... validity The validity of the system is the relationship between the actual bone deficiency and the deficiency predicted by the classification The reliability refers to its consistency among users of ... classification of femoral defects [7] Type Criteria I Minimal loss of metaphyseal cancellous bone, intact diaphysis II Extensive loss of metaphyseal cancellous bone, intact diaphysis...

Ngày tải lên: 26/10/2012, 09:57

... supplement to IEC 6007 9-4 (1966), Electrical apparatus for explosive gas atmospheres – Part 4: Method of test for ignition temperature IEC 6007 9-2 0:1996, Electrical apparatus for explosive gas atmospheres ... 426: Electrical apparatus for explosive atmospheres IEC 6007 9-4 :1975, Electrical apparatus for explosive gas atmospheres...

Ngày tải lên: 25/12/2013, 10:41

... Determining flow energy and erosion coefficient 39 The method of erosion potential classification in Binh Dinh Province The classification of erosion potential M in Binh Dinh Province is ... Distribution of flow energy (Y) at river basins in Binh Dinh Province (unit: %) Total in province At Lai River Basin At Kon River Basin At La...

Ngày tải lên: 13/02/2014, 12:20

... objectives of this study were twofold Using a single but mixed group of able-bodied young and elderly men, we hoped (1) to distinguish the gait patterns of these populations based on phasic and ... population.‘*” Most gait studies involving elderly subjects have been performed using a control group consisting of healthy young adults These studies have examined one gait...

Ngày tải lên: 14/02/2014, 07:20

... encode all the structural information, in particular the fields can be constructed out of a net [18] One can describe local conformal nets by a natural set of axioms The classification of such ... because Ω is o not cyclic Note that if A is conformal and U (Diff(I)) ⊂ B(I) then B0 is a conformal net (compare with Prop 6.2) S1 CLASSIFICATION OF LOCAL CONFORMAL NETS 501 If B...

Ngày tải lên: 14/02/2014, 17:20

... multiple-puncture), the kind and dose of tuberculin, and the size of reaction in millimeters of induration D Interpretation of Skin Test Reactions To interpret the tuberculin skin test appropriately, ... fever Disseminated tuberculosis Disseminated tuberculosis occurs because of the inadequacy of host defenses in containing tuberculous infection This failure of conta...

Ngày tải lên: 15/02/2014, 12:20

... description of any properly embedded minimal surface in terms of the ordering of the ends, the parity of the middle ends, the genus of each end - zero or in nite - and the genus of the surface This topological ... carried out independently of the other planes since the modified plane is contained in the union of the components of W that intersec...

Ngày tải lên: 16/02/2014, 06:20

... training data to measure the impact of each of the four subsets of features explained in Section Table shows the cross validation results when cumulatively adding each set of features Applying ... Identifying Negated Findings and Diseases in Discharge Summaries Journal of Biomedical Informatics, 34:301-310 Wendy W Chapman, David Chu, and John N Dowling 2007 ConText: An Algorithm...

Ngày tải lên: 20/02/2014, 05:20

... applying machine learning algorithms to the semantic disambiguation of modifier -noun phrases The first approach is to use semantic properties of the noun and modifier words as attributes, using a lexical ... collect web frequencies for queries of the form “head joining term modifier” We did not collect queries of the form “modifier joining term head”; in the majority of...

Ngày tải lên: 20/02/2014, 12:20

... principles of management; and that only with standardised principles of management can results in various series and in various countries be compared to best advantage and the knowledge derived therefrom ... resistance The greater the quantity and virulence of the bacilli and the higher the degree of hypresensitivity the larger and more destructive w...

Ngày tải lên: 06/03/2014, 04:20

... modular surface Contents Introduction The Postnikov system of Lagrangian structures The bordism group ΩSD ∗ The signature of non-Witt spaces The L-class of non-Witt spaces An example References Introduction ... result on L-classes of self-dual sheaves from [CS91] and state and prove the main theorem of this paper on the L-class of non-Witt spaces (Theor...

Ngày tải lên: 06/03/2014, 08:21

... decision tree for classiication of inancial liabilities under both IAS 39 and IFRS 9 Financial liability in the scope of IFRS (and IAS 39) Held for trading (including derivatives)? Yes No Designated ... risk of the underlying pool of instruments This condition would be met in respect of a tranche if, for example, in the event of the underlying pool of instr...

Ngày tải lên: 07/03/2014, 16:20

... restriction of the range of weak generative powers for grammars of natural languages to a probable range between contextsensitive and context-free grammars, as is shown on the spectrum of Figure ... reference 17, the adequacy of a finite-state model is maintained The question of weak generative power is, of course, 13 only one factor in the determination of proper gr...

Ngày tải lên: 07/03/2014, 18:20