Theory of cathode trajectory characterization by canonical mapping transformation

Microscopy ◽  
2005 ◽  
Vol 54 (4) ◽  
pp. 331-343 ◽  
Author(s):  
Shin Fujita ◽  
Hiroshi Shimoyama
Keyword(s):  
Canonical Mapping

scholarly journals Extension of multipliers by periodicity

1972 ◽  
Vol 6 (2) ◽  
pp. 263-285 ◽  
Author(s):  
Michael G. Cowling
Keyword(s):  
Closed Subgroup ◽  
Fourier Multiplier ◽  
Compact Subgroup ◽  
Canonical Mapping ◽  
Lca Group

A theorem proved by de Leeuw for Γ = Rn and later generalized by Lohoué and Saeki states that if Γ is an LCA group, Γ0 a closed subgroup thereof, π the canonical mapping from Γ onto Γ/Γ0 and Φ a Fourier multiplier of type (p, p) on Γ/Γ0, then Φ ० π is a Fourier multiplier of type (p, p) on Γ. We show here that if 1 ≤ p < q ≤ ∞, Γ and Φ is a Fourier multiplier of type (p, q) on Γ/Γ, then Φ ० π is a Fourier multiplier of type (p, q) on Γ and if Γ0 is a non-compact subgroup of Γ and Φ ० π is a Fourier multiplier of type (p, q) on Γ for some p and q satisfying 1 ≤ p ≤ q ≤ ∞, then Φ is zero. We prove also that if Φ is a Fourier multiplier of type (p, q) and Γ/Γ0, whee 1 ≤ q < p ≤ ∞ and Γ is discrete, then Φ ० π is a Fourier multiplier of type (p, q) on Γ.

scholarly journals Decomposition algebras of Riesz operators

1980 ◽  
Vol 21 (1) ◽  
pp. 75-79 ◽  
Author(s):  
G. J. Murphy ◽  
T. T. West
Keyword(s):  
Hilbert Space ◽  
Banach Algebra ◽  
Spectral Radius ◽  
Compact Operators ◽  
Linear Operators ◽  
Closed Ideal ◽  
Canonical Mapping ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Riesz Operators

Let H be a Hilbert space and let B denote the Banach algebra of all bounded linear operators on H with K denoting the closed ideal of compact operators in B. If T ∈ B, σ(T) and r(T) will denote the spectrum and spectral radius of T, respectively, and π the canonical mapping of B onto the Calkin algebra B/K.

FLASH table and canonical mapping of potato varieties

2000 ◽  
Vol 11 (1-2) ◽  
pp. 163-165 ◽  
Author(s):  
Christelle Porcherot ◽  
Pascal Schlich
Keyword(s):  
Canonical Mapping ◽  
Potato Varieties

scholarly journals Exhaustive Capture of Ovarian Cancer Transcriptional and Genomic Variant Integrating Canonical and Mapping-Free Protocols

2020 ◽  
Author(s):  
Zhiqin Fu ◽  
Chao Lu ◽  
Chao Ding ◽  
Chengxi Zhou ◽  
Tingting Yu ◽  
...  
Keyword(s):  
Ovarian Cancer ◽  
Differentially Expressed Genes ◽  
Differentially Expressed ◽  
Gynecologic Malignancies ◽  
Canonical Mapping ◽  
Survival Prognosis ◽  
Rnaseq Data ◽  
Cause Of Deaths ◽  
Genomic Variant ◽  
Independent Cohort

Ovarian cancer is the most frequent cause of deaths in gynecologic malignancies. Many possible mechanisms have been proposed via RNAseq and DNAseq technique recently. However, the driving factors are still obscure. The possible reasons are attributed to the incomplete human reference. This study integrated the canonical mapping-based and mapping-free protocols to extract reliable variations and novel events. We eventually obtained 450 reliable SNVs from the WES data and novel events from the RNAseq data, including 154 SNVs, 462 intron events, two repeats and six splice events. We identified six differentially expressed genes and six contigs that are significantly related to survival prognosis. The recurrent SNVs in significantly differentially expressed genes can be validated in an independent cohort of 20 Chinese ovarian cancer patients.

scholarly journals Argument Structure of Classifier Predicates: Canonical and Non-canonical Mappings in Four Sign Languages

2019 ◽  
Vol 5 (1) ◽  
pp. 332-353 ◽  
Author(s):  
Vadim Kimmelman ◽  
Vanja de Lint ◽  
Connie de Vos ◽  
Marloes Oomen ◽  
Roland Pfau ◽  
...  
Keyword(s):  
The Netherlands ◽  
Sign Language ◽  
Argument Structure ◽  
Data Sets ◽  
Canonical Mapping ◽  
Sign Languages ◽  
Event Structures ◽  
Classifier Predicates ◽  
German Sign Language

AbstractWe analyze argument structure of whole-entity and handling classifier predicates in four sign languages (Russian Sign Language, Sign Language of the Netherlands, German Sign Language, and Kata Kolok) using parallel datasets (retellings of the Canary Row cartoons). We find that all four languages display a systematic, or canonical, mapping between classifier type and argument structure, as previously established for several sign languages: whole-entity classifier predicates are mostly used intransitively, while handling classifier predicates are used transitively. However, our data sets also reveal several non-canonical mappings which we address in turn. First, it appears that whole-entity classifier predicates can be used unergatively, rather than unaccusatively, contrary to expectations. Second, our data contain some transitive uses of whole-entity classifier predicates. Finally, we find that handling classifier predicates can express various complex event structures. We discuss what these findings imply for existing theories of classifier predicates in sign languages.

scholarly journals Describing the Acquisition of the Passive Voice by a Child Learner of Japanese as a Second Language from a Processability Theory Perspective

2018 ◽  
Vol 7 (5) ◽  
pp. 247
Author(s):  
Junko Iwasaki ◽  
Rhonda Oliver
Keyword(s):  
Second Language ◽  
Syntactic Structure ◽  
Large Body ◽  
Longitudinal Case Study ◽  
L2 Acquisition ◽  
Canonical Mapping ◽  
Passive Voice ◽  
Active Voice ◽  
Developmental Skills ◽  
Processability Theory

This longitudinal case study reports on the acquisition of Japanese as a second language (L2) by a child learner with English as his first language (L1) who was acquiring Japanese naturalistically. In particular this study focusses on the acquisition by the child of a non-canonical mapping structure, namely the passive voice in relation to canonical mapping structures (e.g., the active voice) within the framework of the Unmarked Alignment Hypothesis (UAH) and the Lexical Mapping Hypothesis (LMH). These hypotheses are two of the main pillars of the extended Processability Theory (PT) (Pienemann, Di Biase & Kawaguchi, 2005). When compared to a large body of studies on the L1 acquisition of the passive voice, there have been only few theoretically motivated studies on the L2 acquisition of this structure, and further no studies to date have been undertaken using L2 child informants. The results of the earlier PT-based research (e.g., Wang, 2009) found that the acquisition of the passive voice by adult L2 learners occurred later than did the active voice. The results of the current child Japanese L2 study confirmed this, supporting Kawaguchi’s (2007) claim that the learner’s choice of a syntactic structure is restricted by developmental skills in argument-function mapping as predicted by UAH and LMH. Further, the results indicate that, prior to the emergence of the passive voice, a developmental period for the child to attempt non-canonical mapping existed and that the passive verbal morphology often appeared in a non-target like way until the end of the observation period.

ON THE GEOMETRY OF GRADED CONSTRAINT ALGEBRAS: VIELBEINS, METRIC TENSORS AND THE STRING VERTEX SUPEROPERATORS

1989 ◽  
Vol 04 (17) ◽  
pp. 1667-1679
Author(s):  
HENRIK ARATYN
Keyword(s):  
Virasoro Algebra ◽  
Geometric Interpretation ◽  
Geometric Construction ◽  
Canonical Mapping ◽  
Metric Tensor ◽  
Constraint Algebra ◽  
Metric Tensors

The geometric interpretation of the vertex superoperators in the Neveu-Schwarz-Ramond (NSR) model is provided by associating them with a canonical mapping between abelian operators and generators of the super-Virasoro algebra. In this setting, the moments of the vertex superoperators are the corresponding vielbiens carrying graded indices. This geometric construction defines a natural metric tensor associated with the graded constraint algebra. Consequently, our approach yields the simple Batalin-Fradkin-Vilkovisky Hamiltonian for the NSR model as the “square” of a graded vector, manifestly invariant under OSP (1, 1|2).

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