Variation Of Rotation In Chaos Game By Modifying The Rules

2020 ◽  
Vol 4 (1) ◽  
pp. 1
Author(s):  
Rana Arij Afifah ◽  
Kosala Dwidja Purnomo ◽  
Firdaus Ubaidillah ◽  
Ismail Husein
Keyword(s):  
Reference Point ◽  
Reference Points ◽  
Core Concept ◽  
Self Similarity ◽  
Center Of Rotation ◽  
Sierpinski Triangle ◽  
The Core ◽  
Chaos Game ◽  
Visual Results

<span>The core concept of fractals is the process of rearranging identical components that have a large amount of self-similarity. One example of fractals is the Sierpinski trianglecan be generated using the chaos game method. This method is a form of play in drawing points on triangles that have certain rules and are repeated iteratively. This research will modify the rules of chaos game triangle with the addition of various rotationswith the center of rotation at one, two, three, four, and five reference points. The visual results obtained are in the form of fractals because they have self-similarity properties and a collection of new points formed experiences rotation with the center of rotation based on the selected reference point with the direction of rotation based on the rules. The visual results of the rotation </span><span>θ</span><span> angle are visually symmetrical about the axis-y with the visual results of the rotation 360</span><span>⁰</span><span>-</span><span>θ</span><span>  angle at one, three, four, and five reference points as the center of rotation. At two reference points as the center of rotation it is obtained that there are two parts that are visually symmetrical about a certain line. Visual results of rotation 360</span><span>⁰</span><span> angles at one, two, three reference points as the center of rotation have a shape similar to the Sierpinski triangle. Whereas at four and five points of reference as the center of rotation has a shape similar to the Sierpinski triangle.</span>

AROUND THE SIERPINSKI TRIANGLE. THE CHAOS GAME AND THE SCRATCH PROGRAMMING

2020 ◽  
pp. 20-26
Author(s):  
L. V. Denisova ◽  
V. O. Dzhenzher
Keyword(s):  
Programming Language ◽  
The Self ◽  
Self Similarity ◽  
Transparent Films ◽  
Fractal Sets ◽  
Sierpinski Triangle ◽  
Random Events ◽  
Cutting Out ◽  
Chaos Game ◽  
Small Rotation

The article discusses the experience of studying Sierpinski geometric fractals in circle classes in mathematics and informatics with students of grades 4–6. A versatile approach to the construction of fractal objects is used: a method of cutting out of paper, Chaos Game on transparent films and implementing the studied algorithm in the Scratch programming language. At the same time, some issues related to the occurrence of random events are discussed with the children. After the fractal is obtained on a computer, the research phase of the constructed model follows. In the computer Chaos Game: (1) a small rotation by a specified number of degrees is sequentially added before setting the next point; (2) a turn in front of individual fractal vertices; (3) compression of a fractal to individual vertices. Conclusions are drawn about the self-similarity of the resulting objects. The proposed method allows us to study some properties of fractal sets, by involving visualization, intuition and computer modeling.

Cognitive Reflection Effects on Time Discounting

2018 ◽  
Vol 39 (2) ◽  
pp. 99-106 ◽  
Author(s):  
Michał Białek ◽  
Przemysław Sawicki
Keyword(s):  
Individual Differences ◽  
Individual Difference ◽  
Delay Discounting ◽  
Reference Point ◽  
Reference Points ◽  
Cognitive Reflection Test ◽  
Process Information ◽  
Time Discounting ◽  
Cognitive Reflection ◽  
The Way

Abstract. In this work, we investigated individual differences in cognitive reflection effects on delay discounting – a preference for smaller sooner over larger later payoff. People are claimed to prefer more these alternatives they considered first – so-called reference point – over the alternatives they considered later. Cognitive reflection affects the way individuals process information, with less reflective individuals relying predominantly on the first information they consider, thus, being more susceptible to reference points as compared to more reflective individuals. In Experiment 1, we confirmed that individuals who scored high on the Cognitive Reflection Test discount less strongly than less reflective individuals, but we also show that such individuals are less susceptible to imposed reference points. Experiment 2 replicated these findings additionally providing evidence that cognitive reflection predicts discounting strength and (in)dependency to reference points over and above individual difference in numeracy.

scholarly journals Research on Blockchain-Based E-Bidding System

2021 ◽  
Vol 11 (9) ◽  
pp. 4011
Author(s):  
Dan Wang ◽  
Jindong Zhao ◽  
Chunxiao Mu
Keyword(s):  
Data Transmission ◽  
Privacy Protection ◽  
Graph Isomorphism ◽  
Third Party ◽  
Business Logic ◽  
Core Concept ◽  
The Core ◽  
Blockchain Technology ◽  
Smart Contract ◽  
Bidding Process

In the field of modern bidding, electronic bidding leads a new trend of development, convenience and efficiency and other significant advantages effectively promote the reform and innovation of China’s bidding field. Nowadays, most systems require a strong and trusted third party to guarantee the integrity and security of the system. However, with the development of blockchain technology and the rise of privacy protection, researchers has begun to emphasize the core concept of decentralization. This paper introduces a decentralized electronic bidding system based on blockchain and smart contract. The system uses blockchain to replace the traditional database and uses chaincode to process business logic. In data interaction, encryption techniques such as zero-knowledge proof based on graph isomorphism are used to improve privacy protection, which improves the anonymity of participants, the privacy of data transmission, and the traceability and verifiable of data. Compared with other electronic bidding systems, this system is more secure and efficient, and has the nature of anonymous operation, which fully protects the privacy information in the bidding process.

Models for Integrating Medical Acupuncture into Practice: An Exploratory Qualitative Study of Physicians— Experiences

2016 ◽  
Vol 34 (4) ◽  
pp. 280-289 ◽  
Author(s):  
Ellen T Crumley
Keyword(s):  
Qualitative Study ◽  
General Practitioners ◽  
Full Time ◽  
Snowball Sampling ◽  
Core Concept ◽  
Structured Interviews ◽  
The Core ◽  
Individual Physician ◽  
Part Time ◽  
Medical Acupuncture

Background Internationally, physicians are integrating medical acupuncture into their practice. Although there are some informative surveys and reviews, there are few international, exploratory studies detailing how physicians have accommodated medical acupuncture (eg, by modifying schedules, space and processes). Objective To examine how physicians integrate medical acupuncture into their practice. Methods Semi-structured interviews and participant observations of physicians practising medical acupuncture were conducted using convenience and snowball sampling. Data were analysed in NVivo and themes were developed. Despite variation, three principal models were developed to summarise the different ways that physicians integrated medical acupuncture into their practice, using the core concept of ‘helping’. Quotes were used to illustrate each model and its corresponding themes. Results There were 25 participants from 11 countries: 21 agreed to be interviewed and four engaged in participant observations. Seventy-two per cent were general practitioners. The three models were: (1) appointments (44%); (2) clinics (44%); and (3) full-time practice (24%). Some physicians held both appointments and regular clinics (models 1 and 2). Most full-time physicians initially tried appointments and/or clinics. Some physicians charged to offset administration costs or compensate for their time. Discussion Despite variation within each category, the three models encapsulated how physicians described their integration of medical acupuncture. Physicians varied in how often they administered medical acupuncture and the amount of time they spent with patients. Although 24% of physicians surveyed administered medical acupuncture full-time, most practised it part-time. Each individual physician incorporated medical acupuncture in the way that worked best for their practice.

scholarly journals ILRS Reference Point Determination Using Close Range Photogrammetry

2021 ◽  
Vol 11 (6) ◽  
pp. 2785
Author(s):  
Michael Lösler ◽  
Cornelia Eschelbach ◽  
Thomas Klügel ◽  
Stefan Riepl
Keyword(s):  
Reference Point ◽  
Reference Points ◽  
Geodetic Reference System ◽  
Unscented Transformation ◽  
Local Ties ◽  
Close Range Photogrammetry ◽  
Crucial Component ◽  
Space Geodetic Techniques ◽  
Close Range ◽  
Point Determination

A global geodetic reference system (GGRS) is realized by physical points on the Earth’s surface and is referred to as a global geodetic reference frame (GGRF). The GGRF is derived by combining several space geodetic techniques, and the reference points of these techniques are the physical points of such a realization. Due to the weak physical connection between the space geodetic techniques, so-called local ties are introduced to the combination procedure. A local tie is the spatial vector defined between the reference points of two space geodetic techniques. It is derivable by local measurements at multitechnique stations, which operate more than one space geodetic technique. Local ties are a crucial component within the intertechnique combination; therefore, erroneous or outdated vectors affect the global results. In order to reach the ambitious accuracy goal of 1 mm for a global position, the global geodetic observing system (GGOS) aims for strategies to improve local ties, and, thus, the reference point determination procedures. In this contribution, close range photogrammetry is applied for the first time to determine the reference point of a laser telescope used for satellite laser ranging (SLR) at Geodetic Observatory Wettzell (GOW). A measurement campaign using various configurations was performed at the Satellite Observing System Wettzell (SOS-W) to evaluate the achievable accuracy and the measurement effort. The bias of the estimates were studied using an unscented transformation. Biases occur if nonlinear functions are replaced and are solved by linear substitute problems. Moreover, the influence of the chosen stochastic model onto the estimates is studied by means of various dispersion matrices of the observations. It is shown that the resulting standard deviations are two to three times overestimated if stochastic dependencies are neglected.

An Alternative Perspective on Recruitment Overfishing and Biological Reference Points

1987 ◽  
Vol 44 (4) ◽  
pp. 913-918 ◽  
Author(s):  
M. P. Sissenwine ◽  
J. G. Shepherd
Keyword(s):  
Fisheries Management ◽  
Reference Point ◽  
Reference Points ◽  
Fishing Mortality ◽  
Alternative Perspective ◽  
Conventional Models ◽  
Definition Of ◽  
Yield Per Recruit ◽  
Spawning Biomass

Biological reference points are used to guide fisheries management decisions. The reference points most often used are expressed in terms of fishing mortality rate (F). Fmsy relates to the maximization of sustainable yield. In principle, it is a most useful reference point, but in practice it is difficult to estimate. Fmax and F0.1 relate to certain levels of yield per recruit and are easily estimated, but they ignore conservation of the resource. Recruitment overfishing has usually been understood to occur when a population has been fished down to a point where recruitment is substantially reduced or fails. It has not been used as a basis for a biological reference point because the definition is vague and cannot be readily related to fishing mortality. Levels of spawning biomass below which recruitment seems to be reduced have been used, but their determination from available data is usually difficult and controversial. We propose an alternative definition of recruitment overfishing in terms of the level of fishing pressure that reduces the spawning biomass of a year class over its lifetime below the spawning biomass of its parents on average. Conventional models and types of data can be used to determine this level of F, denoted as Frep, which clearly relates to the replacement of spawning biomass and thus to sustainability of a population and yield in the long term.

scholarly journals Albanian Aorist and Time Reference Points

2020 ◽  
Vol 10 (3) ◽  
pp. 115
Author(s):  
Muhamet Reçica ◽  
Naser Pajaziti
Keyword(s):  
Reference Point ◽  
Reference Points ◽  
The Other ◽  
Temporal Relations ◽  
Time Dimension ◽  
Relative Time ◽  
Absolute Time ◽  
Temporal System ◽  
The Absolute

Topics related to the structure of the temporal system of Albanian language always give opportunities for new discussions to deal with certain aspects related to various forms of this system, and one of them is the aorist, as a tense containing many semantic, temporal, aspectual, stylistic values, etc. The relationships that exist between the verbal tenses in this system within the absolute time-relative time dimension, which relate to the independent or dependent use of temporal forms against one another in different discoursing contexts, make up an interpretation-based approach to interest. Hence, the essential objective of this paper will be specifically the relations of the Albanian aorist to the other verbal forms, always observed with a time reference point, to illuminate the character of these purely temporal relations against each other under all circumstances of the actions that take place and are displayed by verbal forms in different contexts, relying on the corpus of examined materials.

scholarly journals The Core Concept of Statistics

2019 ◽  
pp. 23-50
Author(s):  
Michael H. Herzog ◽  
Gregory Francis ◽  
Aaron Clarke
Keyword(s):  
Core Concept ◽  
The Core

Daily Labor Supply and Adaptive Reference Points

2021 ◽  
Vol 111 (8) ◽  
pp. 2417-2443
Author(s):  
Neil Thakral ◽  
Linh T. Tô
Keyword(s):  
Labor Supply ◽  
Reference Point ◽  
Structural Model ◽  
Reference Points ◽  
Degree Of Freedom ◽  
Reference Dependence ◽  
Field Evidence ◽  
Dynamic View ◽  
Expected Earnings ◽  
Dependence Models

This paper provides field evidence on how reference points adjust, a degree of freedom in reference-dependence models. Examining this in the context of cabdrivers’ daily labor-supply behavior, we ask how the within-day timing of earnings affects decisions. Drivers work less in response to higher accumulated income, with a strong effect for recent earnings that gradually diminishes for earlier earnings. We estimate a structural model in which drivers work toward a reference point that adjusts to deviations from expected earnings with a lag. This dynamic view of reference dependence reconciles conflicting “neoclassical” and “behavioral” interpretations of evidence on daily labor-supply decisions. (JEL J22, J31, L94)

Aspirations or survival: decision modeling and the effect of focus of attention in risky choice

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Guy Moshe Ross
Keyword(s):  
Risk Taking ◽  
Reference Point ◽  
Effect Study ◽  
Focus Of Attention ◽  
Risky Choice ◽  
Reference Points ◽  
Aspiration Level ◽  
Content Type ◽  
Randomized Controlled Studies ◽  
Risky Option

Purpose This research aims to test focus of attention effects in risky choice. Design/methodology/approach As opposed to traditional aspiration-level theory, the shifting-focus concept introduces a second reference point, the survival point, and assumes a shifting focus of attention between the two reference points. In this conceptualization, risk-taking is a function of focus of attention on the survival reference point or the aspiration-level and resources relative to the two reference points. Four randomized controlled studies tested this concept. Findings Study 1 showed that with aspiration focus the probability of choosing a risky option was higher below an aspiration-level than above it. With survival focus, the effect was reversed. Study 2 found that close to the survival reference point, the probability of choosing a risky option was higher with aspiration focus relative to survival focus. Study 3 revealed that with scarce resources the risk taken was higher with aspiration focus than with survival focus, and the scarcer the resources the stronger was the effect. Study 4 demonstrated that with aspiration focus the risk taken was higher below an aspiration-level than above it. With survival focus the effect was reversed. Originality/value In addition to providing support for the validity of the shifting focus concept, this paper elaborates on the theoretical model by providing evidence for moderation effects. Risk-taking was affected by a focus of attention on one of two reference points, and the effect was moderated by resources relative to the two focal points. An advanced model is proposed to capture the effects of focus of attention and resources on risk-taking behavior.

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