On Uniformly Discrete Sequences in the Disk

2005 ◽  
pp. 131-150 ◽  
Author(s):  
Peter Dure ◽  
Alexander Schuste ◽  
Dragan Vukotić
Keyword(s):  
Discrete Sequences

Pseudohyperbolic metric and uniformly discrete sequences in the real unit ball

2014 ◽  
Vol 34 (3) ◽  
pp. 629-638 ◽  
Author(s):  
Guangbin REN ◽  
Uwe KÄHLER
Keyword(s):  
Unit Ball ◽  
The Real ◽  
Discrete Sequences

MULTI-DIMENSIONAL PIECE-WISE SELF-AFFINE FRACTAL INTERPOLATION MODEL IN TENSOR FORM

2006 ◽  
Vol 09 (03) ◽  
pp. 287-293 ◽  
Author(s):  
TONG ZHANG ◽  
JIANLIN LIU ◽  
ZHUO ZHUANG
Keyword(s):  
Partial Derivative ◽  
Iterated Function System ◽  
Model Parameters ◽  
Fractal Interpolation ◽  
Interpolation Model ◽  
Tensor Form ◽  
Real Numbers ◽  
Inverse Algorithm ◽  
Iterated Function ◽  
Discrete Sequences

Iterated Function System (IFS) models have been used to represent discrete sequences where the attractor of the IFS is piece-wise self-affine in R2 or R3 (R is the set of real numbers). In this paper, the piece-wise self-affine IFS model is extended from R3 to Rn (n is an integer greater than 3), which is called the multi-dimensional piece-wise self-affine fractal interpolation model. This model uses a "mapping partial derivative" and a constrained inverse algorithm to identify the model parameters. The model values depend continuously on all the model parameters, and represent most data which are not multi-dimensional self-affine in Rn. Therefore, the result is very general. Moreover, the multi-dimensional piece-wise self-affine fractal interpolation model in tensor form is more terse than in the usual matrix form.

VISUAL AND AUDITORY CUES SIGNIFICANTLY REDUCE HUMAN'S INTRINSIC BIASES WHEN TASKED TO GENERATE A RANDOM NUMBER SEQUENCE

2010 ◽  
Vol 21 (05) ◽  
pp. 567-581 ◽  
Author(s):  
IRENE CRISOLOGO ◽  
RENE BATAC ◽  
ANTHONY LONGJAS ◽  
ERIKA FILLE LEGARA ◽  
CHRISTOPHER MONTEROLA
Keyword(s):  
Visual Cues ◽  
Random Number ◽  
Pattern Analysis ◽  
Number Sequence ◽  
Random Series ◽  
Auditory Cues ◽  
Statistical Framework ◽  
Number Distribution ◽  
Discrete Sequences

Humans are deemed ineffective in generating a seemingly random number sequence primarily because of inherent biases and fatigue. Here, we establish statistically that human-generated number sequence in the presence of visual cues considerably reduce one's tendency to be fixated to a certain group of numbers allowing the number distribution to be statistically uniform. We also show that a stitching procedure utilizing auditory cues significantly minimizes human's intrinsic biases towards doublet and sequential ordering of numbers. The article provides extensive experimentation and comprehensive pattern analysis of the sequences formed when humans are tasked to generate a random series using numbers "0" to "9." In the process, we develop a statistical framework for analyzing the apparent randomness of finite discrete sequences via numerical measurements.

A new fractal algorithm to model discrete sequences

2010 ◽  
Vol 19 (9) ◽  
pp. 090509 ◽  
Author(s):  
Zhai Ming-Yue ◽  
Heidi Kuzuma ◽  
James W Rector
Keyword(s):  
Discrete Sequences

scholarly journals Traces of Hörmander Algebras on Discrete Sequences

2009 ◽  
pp. 397-408 ◽  
Author(s):  
Xavier Massaneda ◽  
Joaquim Ortega-Cerdà ◽  
Myriam Ounal’es
Keyword(s):  
Discrete Sequences

scholarly journals A Visual Lexicon

2007 ◽  
Vol 1 (1) ◽  
pp. 35-56 ◽  
Author(s):  
Neil Cohn
Keyword(s):  
Visual Language ◽  
Image Content ◽  
Verbal Language ◽  
Visual Elements ◽  
Discrete Sequences ◽  
Lexical Items ◽  
Primary Unit

One of the most recognizable graphic components of the visual language of “comics” is the “panel,” a demarcated frame of image content put into discrete sequences, thereby seeming to be the primary unit of expression. However, meaningful visual elements do exist that are both smaller and larger than this encapsulation of image and text. Spoken languages also have variation in sizes of lexical items above and below their primary sequential unit of the “word.” This paper will address these varying levels of representation in visual language in comparison to the structural make-up of verbal language, to aim toward at what it means to have “visual lexical items.”

scholarly journals Local approximation of discrete processes by interpolation polynomials

2019 ◽  
pp. 104-110
Author(s):  
A A Kolpakov ◽  
Yu A Kropotov
Keyword(s):  
Data Processing ◽  
Processing System ◽  
Local Approximation ◽  
Algebraic Polynomials ◽  
Data Processing System ◽  
Multichannel System ◽  
Multichannel Data ◽  
Discrete Sequences ◽  
Interpolation Polynomials

This paper discusses the structure of the devices and their defining formulas used for local approximation using power-algebraic polynomials when the observed data are nown exactly. A multichannel system for processing discrete sequences is considered. On the basis of the considered system the research of acceleration of calculations in the system from specialized computational modules is carried out. The carried out researches have shown, that the developed model of multichannel data processing system allows to reduce essentially time for data processing.

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