scholarly journals The Topological Reading of Ambiances in the Built Environment: The New Methodology for the Analysis of the Luminous Ambiance in the Museum Space

2019 ◽  
Vol 64 ◽  
pp. 03004
Author(s):  
Selma Saraoui ◽  
Azeddine Belakehal ◽  
Abdelghani Attar ◽  
Amar Bennadji
Keyword(s):  
Sequential Analysis ◽  
Euclidean Geometry ◽  
Essential Element ◽  
Analysis Model ◽  
Architectural Space ◽  
Spatial Features ◽  
Non Euclidean Geometry ◽  
Metric Dimensions ◽  
Definition Of ◽  
Shed Light

Daylight is currently at the centre of discourse on architectural space. The definition of architectural space takes essence from Euclidean geometry related to metric dimensions. The present study is an attempt to shed light on topology which is a non-Euclidean geometry. It can support non-metric components of space such as light to define architectural space. A corpus of six European museums has been chosen to study the immaterial or material relationships between form and daylight, since light is an essential element for the success of the exhibition. It also seeks to highlight discontinuity reports, and to confirm their existence through their software visualizations Therefore, the current study has taken into account an analysis model based on the notions of "route" and "sequence". The contemporary architectural project focused on taking into account human postures, both physical and psychological, within the architectural space. The results obtained show that light can release other spatial features for the museum space that can be highlighted by visualization with sequential analysis.

scholarly journals KONSISTENSI AKSIOMA-AKSIOMA TERHADAP ISTILAH-ISTILAH TAKTERDEFINISI GEOMETRI HIPERBOLIK PADA MODEL PIRINGAN POINCARE

EDUPEDIA ◽  
2018 ◽  
Vol 2 (2) ◽  
pp. 161
Author(s):  
Febriyana Putra Pratama ◽  
Julan Hernadi
Keyword(s):  
Half Plane ◽  
Hyperbolic Geometry ◽  
Euclidean Geometry ◽  
Cross Ratio ◽  
Literature Study ◽  
Disk Model ◽  
Non Euclidean Geometry ◽  
The Cross ◽  
Definition Of ◽  
Poincaré Disk

This research aims to know the interpretation the undefined terms on Hyperbolic geometry and it’s consistence with respect to own axioms of Poincare disk model. This research is a literature study that discusses about Hyperbolic geometry. This study refers to books of Foundation of Geometry second edition by Gerard A. Venema (2012), Euclidean and Non Euclidean Geometry (Development and History)  by Greenberg (1994), Geometry : Euclid and Beyond by Hartshorne (2000) and Euclidean Geometry: A First Course by M. Solomonovich (2010). The steps taken in the study are: (1) reviewing the various references on the topic of Hyperbolic geometry. (2) representing the definitions and theorems on which the Hyperbolic geometry is based. (3) prepare all materials that have been collected in coherence to facilitate the reader in understanding it. This research succeeded in interpret the undefined terms of Hyperbolic geometry on Poincare disk model. The point is coincide point in the Euclid on circle . Then the point onl γ is not an Euclid point. That point interprets the point on infinity. Lines are categoried in two types. The first type is any open diameters of   . The second type is any open arcs of circle. Half-plane in Poincare disk model is formed by Poincare line which divides Poincare field into two parts. The angle in this model is interpreted the same as the angle in Euclid geometry. The distance is interpreted in Poincare disk model defined by the cross-ratio as follows. The definition of distance from  to  is , where  is cross-ratio defined by  . Finally the study also is able to show that axioms of Hyperbolic geometry on the Poincare disk model consistent with respect to associated undefined terms.

A Study on the Application of Algorithmic Modelling in Architectural Space Design

2012 ◽  
Vol 174-177 ◽  
pp. 1743-1747
Author(s):  
Cheng Zhi Yuan ◽  
Zhong Yi
Keyword(s):  
Euclidean Geometry ◽  
Modelling Language ◽  
Architectural Space ◽  
Space Design ◽  
Algebraic Expressions ◽  
Non Euclidean Geometry ◽  
Art Works

The birth of algorithmic modelling has made architecture breaking through the constraints of traditional Euclidean geometry truly into "era of non-Euclidean geometry space". Algorithmic modelling often uses pure numbers, mathematical rules and algebraic expressions for generating architectural art works with different styles. Usually there are two ways for algorithmic modelling: language programming and graphical. This article has discussed the design significance and operation methods of algorithmic modelling in order to inspire architects a little.

On One Property of a Circle on the Coordinate Plane

2017 ◽  
Vol 5 (2) ◽  
pp. 13-24
Author(s):  
Графский ◽  
O. Grafskiy ◽  
Пономарчук ◽  
Yu. Ponomarchuk
Keyword(s):  
Euclidean Geometry ◽  
Coordinate Plane ◽  
Non Euclidean Geometry ◽  
Geometrical Form ◽  
Constant Distance ◽  
Intersection Points ◽  
Definition Of ◽  
Set Of Points ◽  
First Time

Descartes’ and Fermat's method allowed to define many geometrical forms, including circles, on the coordinate plane by means of the arithmetic equations and to make necessary analytical operations in order to solve many problems of theoretical and applied research in various scientific areas, for example. However, the equations of a circle and other conics in the majority of research topics are used in the subsequent analysis of applied problems, or for analytical confirmation of constructive solutions in geometrical research, according to Russian geometrician G. Monge and others, including. It is natural to consider a circle as a locus of points, equidistant from a given point — a center of the circle, with a constant distance R. There is another definition of a circle: a set of points from which a given segment is visible under constant directed angle. Besides, a circle is accepted to model the Euclid plane in the known scheme of non-Euclidean geometry of Cayley-Klein, it is the absolute which was given by A. Cayley for the first time in his memoirs. It is possible to list various applications of this geometrical form, especially for harmonism definition of the corresponding points, where the diametral opposite points of a circle are accepted as basic, and also for construction of involutive compliances. The construction of tangents to a circle can be considered as a classical example. Their constructive definition is simple, but also constructions on the basis of known projective geometry postulates are possible (a hexagon when modeling a series of the second order, Pascal's lines). These postulates can be applied to construction of tangents to a circle (to an ellipse and hyperboles to determination of imaginary points of intersection of a circle and a line. This paper considers the construction of tangents to a circle without the use of arches of auxiliary circles, which was applied in order to determine the imaginary points of intersection of a circle and a line (an axis of coordinates). Besides, various dependences of parameter p2, which is equal to the product of the values of the intersection points’ coordinates of a circle and coordinate axes, are analytically determined.

scholarly journals Recognising the dynamic form of fire

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Fintan Nagle ◽  
Alan Johnston
Keyword(s):  
Sequential Analysis ◽  
Recognition Performance ◽  
Human Vision ◽  
Sequence Length ◽  
False Alarms ◽  
Analysis Model ◽  
Sequence Recognition ◽  
Asymmetric Pattern ◽  
Dynamic Form ◽  
Decision Making Model

AbstractEncoding and recognising complex natural sequences provides a challenge for human vision. We found that observers could recognise a previously presented segment of a video of a hearth fire when embedded in a longer sequence. Recognition performance declined when the test video was spatially inverted, but not when it was hue reversed or temporally reversed. Sampled motion degraded forwards/reversed playback discrimination, indicating observers were sensitive to the asymmetric pattern of motion of flames. For brief targets, performance increased with target length. More generally, performance depended on the relative lengths of the target and embedding sequence. Increased errors with embedded sequence length were driven by positive responses to non-target sequences (false alarms) rather than omissions. Taken together these observations favour interpreting performance in terms of an incremental decision-making model based on a sequential statistical analysis in which evidence accrues for one of two alternatives. We also suggest that prediction could provide a means of providing and evaluating evidence in a sequential analysis model.

scholarly journals “I have Learned Non-Euclidean Geometry Just from this Book” - Some facets of the correspondence between Friedrich Engel and David Hilbert

2021 ◽  
Vol 76 (3) ◽  
Author(s):  
Peter Ullrich
Keyword(s):  
Present Article ◽  
19Th Century ◽  
Euclidean Geometry ◽  
Academic Life ◽  
David Hilbert ◽  
Non Euclidean Geometry ◽  
The 19Th Century

AbstractFriedrich Engel and David Hilbert learned to know each other at Leipzig in 1885 and exchanged letters in particular during the next 15 years which contain interesting information on the academic life of mathematicians at the end of the 19th century. In the present article we will mainly discuss a statement by Hilbert himself on Moritz Pasch’s influence on his views of geometry, and on personnel politics concerning Hermann Minkowski and Eduard Study but also Engel himself.

scholarly journals Langevin simulations of protoplasmic streaming in non-Euclidean geometry

2021 ◽  
Vol 1730 (1) ◽  
pp. 012037
Author(s):  
Shuta Noro ◽  
Masahiko Okumura ◽  
Satoshi Hongo ◽  
Shinichiro Nagahiro ◽  
Toshiyuki Ikai ◽  
...  
Keyword(s):  
Euclidean Geometry ◽  
Protoplasmic Streaming ◽  
Non Euclidean Geometry

Pascal's Prism

2012 ◽  
Vol 96 (536) ◽  
pp. 213-220
Author(s):  
Harlan J. Brothers
Keyword(s):  
Probability Theory ◽  
Fractal Geometry ◽  
Euclidean Geometry ◽  
Fibonacci Series ◽  
Pascal’S Triangle ◽  
Number Sequences ◽  
Definition Of ◽  
Image Position ◽  
Pascal's Triangle

Pascal's triangle is well known for its numerous connections to probability theory [1], combinatorics, Euclidean geometry, fractal geometry, and many number sequences including the Fibonacci series [2,3,4]. It also has a deep connection to the base of natural logarithms, e [5]. This link to e can be used as a springboard for generating a family of related triangles that together create a rich combinatoric object.2. From Pascal to LeibnizIn Brothers [5], the author shows that the growth of Pascal's triangle is related to the limit definition of e.Specifically, we define the sequence sn; as follows [6]:

scholarly journals EDUCATING WOMEN FOR DEVELOPMENT: THE ARAB HUMAN DEVELOPMENT REPORT 2005 AND THE PROBLEM WITH WOMEN'S CHOICES

2009 ◽  
Vol 41 (1) ◽  
pp. 122a-122a
Author(s):  
Fida J. Adely
Keyword(s):  
Human Development ◽  
Arab World ◽  
Essential Element ◽  
Ethnographic Research ◽  
Women's Development ◽  
Human Capabilities ◽  
Global Capital ◽  
Human Development Report ◽  
Women And Education ◽  
Shed Light

The Arab Human Development Report 2005, the fourth in a series that has received much acclaim and stirred much controversy, takes up the issue of women's development in the Arab world. Through a careful reading and analysis of sections of the report that address education and economic participation, this paper offers a critique of the human capabilities framework that frames this report. I highlight critical tensions between the claim that providing education is an essential element of expanding choices and the assumptions embedded in discussions about women and education regarding which choices are acceptable and/or desirable. These tensions point to the persistence of values derived from the mandates of global capital, albeit in the new language of neoliberal choice, revealing that ‘human development’ does not represent a significant departure from earlier conceptualizations of development. I draw on my ethnographic research in Jordan as one example to interrogate such assumptions and to shed light on the ambiguities built into the educational project for young women today.

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