Derivation of incremental equations for nested relations

2002 ◽  
Author(s):  
Jixue Liu ◽  
M. Vincent
Keyword(s):  
Nested Relations ◽  
Incremental Equations

Verso: A database machine based on nested relations

1989 ◽  
pp. 27-49 ◽  
Author(s):  
M. Scholl ◽  
S. Abiteboul ◽  
F. Bancilhon ◽  
N. Bidoit ◽  
S. Gamerman ◽  
...  
Keyword(s):  
Nested Relations ◽  
Database Machine

scholarly journals Infant cognition includes the potentially human-unique ability to encode embedding

2018 ◽  
Vol 4 (11) ◽  
pp. eaar8334 ◽  
Author(s):  
M. Winkler ◽  
J. L. Mueller ◽  
A. D. Friederici ◽  
C. Männel
Keyword(s):  
Cognitive Processing ◽  
Comparative Studies ◽  
Human Cognition ◽  
Infant Cognition ◽  
Brain Potentials ◽  
Auditory Oddball ◽  
Brain Responses ◽  
Nested Relations ◽  
Unique Ability ◽  
Human Specific

Human cognition relies on the ability to encode complex regularities in the input. Regularities above a certain complexity level can involve the feature of embedding, defined by nested relations between sequential elements. While comparative studies suggest the cognitive processing of embedding to be human specific, evidence of its ontogenesis is lacking. To assess infants’ ability to process embedding, we implemented nested relations in tone sequences, minimizing perceptual and memory requirements. We measured 5-month-olds’ brain responses in two auditory oddball paradigms, presenting standard sequences with one or two levels of embedding, interspersed with infrequent deviant sequences violating the established embedding rules. Brain potentials indicate that infants detect embedding violations and thus appear to track nested relations. This shows that the ability to encode embedding may be part of the basic human cognitive makeup, which might serve as scaffolding for the acquisition of complex regularities in language or music.

scholarly journals A Study on Modelling the Plane Strain Behaviour of Sand and its Stability

2012 ◽  
Vol 59 (3-4) ◽  
pp. 85-100 ◽  
Author(s):  
Andrzej Sawicki ◽  
Justyna Sławinska
Keyword(s):  
Plane Strain ◽  
3D Model ◽  
Original Model ◽  
Governing Equations ◽  
Principal Stresses ◽  
Full System ◽  
Incremental Model ◽  
Strain Behaviour ◽  
Incremental Equations ◽  
Principal Strains

Abstract The plane strain behaviour of sand is studied using, previously proposed, incremental model describing its pre-failure deformations. Original model has been formulated for the tri-axial configuration, and then generalized for 3D conditions. This 3D model was subsequently adapted to study deformations of sand in the plane strain conditions, in the x1; x3 plane. There are three unknowns in such a configuration, namely the principal strains "1; "3 and the principal stress σ2. Respective equations were derived, and then applied to study deformations of sand for chosen stress paths. The governing incremental equations were integrated numerically, and it was shown, for some loading paths, that σ2 epends linearly on the other principal stresses, so introduction of apparent Poisson’s ratio is justified, as a kind of approximation. Subsequent analysis of deformations of sand was performed using this concept, as well as using full system of governing equations.

Incremental Equations

2019 ◽  
pp. 95-101
Author(s):  
Konstantin Volokh
Keyword(s):  
Incremental Equations

DocBase

2013 ◽  
pp. 365-393
Author(s):  
Arijit Sengupta ◽  
Ramesh Venkataraman
Keyword(s):  
Query Processing ◽  
Query Language ◽  
Formal Model ◽  
Query Languages ◽  
Prototype System ◽  
Storage And Retrieval ◽  
Visual Query Formulation ◽  
Visual Query ◽  
Nested Relations ◽  
Entity Relationship

This chapter introduces a complete storage and retrieval architecture for a database environment for XML documents. DocBase, a prototype system based on this architecture, uses a flexible storage and indexing technique to allow highly expressive queries without the necessity of mapping documents to other database formats. DocBase is an integration of several techniques that include (i) a formal model called Heterogeneous Nested Relations (HNR), (ii) a conceptual model XER (Extensible Entity Relationship), (ii) formal query languages (Document Algebra and Calculus), (iii) a practical query language (Document SQL or DSQL), (iv) a visual query formulation method with QBT (Query By Templates), and (v) the DocBase query processing architecture. This paper focuses on the overall architecture of DocBase including implementation details, describes the details of the query-processing framework, and presents results from various performance tests. The paper summarizes experimental and usability analyses to demonstrate its feasibility as a general architecture for native as well as embedded document manipulation methods.

Sign in / Sign up

Export Citation Format

Share Document