A Method for Operational Diagnosis of Data Represented in a Residue Number System
Sign Up to like & getrecommendations! Published in 2018 at "Cybernetics and Systems Analysis"
DOI: 10.1007/s10559-018-0035-y
Abstract: Two methods for diagnosing data represented in a residue number system (RNS) are considered. It is shown that the main drawback of these methods is a considerable time of diagnosing RNS-based data. The proposed method… read more here.
Keywords: diagnosis; residue number; data represented; method operational ... See more keywords
Numerals and neural reuse
Sign Up to like & getrecommendations! Published in 2018 at "Synthese"
DOI: 10.1007/s11229-018-01922-y
Abstract: Menary (in: Metzinger T, Windt JM (eds) OpenMIND, MIND Group, Frankfurt am Main, 2015) has argued that the development of our capacities for mathematical cognition can be explained in terms of enculturation. Our ancient systems… read more here.
Keywords: enculturation; number system; number; neural reuse ... See more keywords
Approximate number system development in preschool: What factors predict change?
Sign Up to like & getrecommendations! Published in 2018 at "Cognitive Development"
DOI: 10.1016/j.cogdev.2017.11.001
Abstract: Abstract A large body of work has developed over the last decade examining the relation between the approximate number system (ANS) and mathematical performance across a wide range of ages, but particularly for preschool-age children.… read more here.
Keywords: number system; number; approximate number; preschool ... See more keywords
Bidirectional Mapping Between the Symbolic Number System and the Approximate Number System.
Sign Up to like & getrecommendations! Published in 2021 at "Experimental psychology"
DOI: 10.1027/1618-3169/a000533
Abstract: Previous studies have discussed the symmetry of bidirectional mapping between approximate number system (ANS) and symbolic number system (SNS). However, these studies neglected the essential significance of bidirectional mapping in the development of numerical cognition.… read more here.
Keywords: number system; ans sns; mapping; bidirectional mapping ... See more keywords
Interrelations Between Acuity of the Approximate Number System and Symbolic Skills in Preschool Children
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Cognition and Development"
DOI: 10.1080/15248372.2024.2384562
Abstract: ABSTRACT This study investigates how the approximate number system (ANS) and young children’s symbolic skills jointly develop and interact. Specifically, the study aims at disentangling the directionality of the association between ANS acuity and a… read more here.
Keywords: symbolic skills; number system; approximate number; ans acuity ... See more keywords
The Small Number System
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DOI: 10.1086/706087
Abstract: I argue that the human mind includes an innate domain-specific system for representing precise small numerical quantities. This theory contrasts with object-tracking theories and with domain-general theories that only make use of mental models. I… read more here.
Keywords: small number; number system; system; domain specific ... See more keywords
Three Representations for Set Partitions
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DOI: 10.1109/access.2021.3061217
Abstract: The Set Partitioning Problem (SPP) aims to obtain non-empty disjoint subsets of objects such that their union equals the whole set of objects, and the partition meets some prespecified criteria. The ubiquity of SPP is… read more here.
Keywords: number; number system; instances spp; three representations ... See more keywords
Implementing the Residue Logarithmic Number System Using Interpolation and Cotransformation
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DOI: 10.1109/tc.2019.2930514
Abstract: The Residue Logarithmic Number System (RLNS) offers fast multiplication and division, but poses challenges for implementing addition and subtraction because the underlying integer Residue Number System (RNS) has slow sign detection. The conventional Binary Logarithmic… read more here.
Keywords: number system; interpolation cotransformation; logarithmic number; number ... See more keywords
Learning a Novel Number System: The Role of Compositional Rules and Counting Procedures
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DOI: 10.1111/cogs.70071
Abstract: Humans count to indefinitely large numbers by recycling words from a finite list, and combining them using rules-for example, combining sixty with unit labels to generate sixty-one, sixty-two, and so on. Past experimental research has… read more here.
Keywords: number; number system; novel number; base ... See more keywords
Early Conceptual Understanding of Cardinality Predicts Superior School-Entry Number-System Knowledge
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DOI: 10.1177/0956797617729817
Abstract: We demonstrate a link between preschoolers’ quantitative competencies and their school-entry knowledge of the relations among numbers (number-system knowledge). The quantitative competencies of 141 children (69 boys) were assessed at the beginning of preschool and… read more here.
Keywords: number system; number; system knowledge; school entry ... See more keywords
An optimized two-level discrete wavelet implementation using residue number system
Sign Up to like & getrecommendations! Published in 2018 at "EURASIP Journal on Advances in Signal Processing"
DOI: 10.1186/s13634-018-0559-3
Abstract: Using discrete wavelet transform (DWT) in high-speed signal processing applications imposes a high degree of caution to hardware resource availability, latency and power consumption. In this paper, we investigated the design and implementation aspects of… read more here.
Keywords: two level; residue number; level; number system ... See more keywords