235 results on '"Straightedge"'
Search Results
2. Coda: 1989—The Axiomatization(s) of the Fold
- Author
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Friedman, Michael, Hiebert, Erwin, Founded by, Darrigol, Olivier, Series Editor, Wußing, Hans, Founded by, Knobloch, Eberhard, Series Editor, and Friedman, Michael
- Published
- 2018
- Full Text
- View/download PDF
3. Variability of Gravel Pavement Roughness: An Analysis of the Impact on Vehicle Dynamic Response and Driving Comfort.
- Author
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Žuraulis, Vidas, Sivilevičius, Henrikas, Šabanovič, Eldar, Ivanov, Valentin, and Skrickij, Viktor
- Subjects
PAVEMENTS ,FLEXIBLE pavements ,GRAVEL ,TRAFFIC safety ,IMPACT loads - Abstract
Featured Application: In this article, we present a methodology for adapting pavement quality indexes for roads with gravel pavement. The findings presented in this article can be used to improve driving safety and gravel pavement maintenance. Gravel pavement has lower construction costs but poorer performance than asphalt surfaces on roads. It also emits dust and deforms under the impact of vehicle loads and ambient air factors; the resulting ripples and ruts constantly deepen, and therefore increase vehicle vibrations and fuel consumption, and reduce safe driving speed and comfort. In this study, existing pavement quality evaluation indexes are analysed, and a methodology for adapting them for roads with gravel pavement is proposed. We report the measured wave depth and length of gravel pavement profile using the straightedge method on a 160 m long road section at three stages of road utilization. The measured pavement elevation was processed according to ISO 8608, and the frequency response of a vehicle was investigated using simulations in MATLAB/Simulink. The international roughness index (IRI) analysis showed that a speed of 30–45 km/h instead of 80 km/h provided the objective results of the IRI calculation on the flexible pavement due to the decreasing velocity of a vehicle's unsprung mass on a more deteriorated road pavement state. The influence of the corrugation phenomenon of gravel pavement was explored, identifying specific driving safety and comfort cases. Finally, an increase in the dynamic load coefficient (DLC) at a low speed of 30 km/h on the most deteriorated pavement and a high speed of 90 km/h on the middle-quality pavement demonstrated the demand for timely gravel pavement maintenance and the complicated prediction of a safe driving speed for drivers. The main relevant objectives of this study are the adaptation of a road roughness indicator to gravel pavement, including the evaluation of vehicle dynamic responses at different speeds and pavement deterioration states. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
4. Investigation of Sixth-Grade Students' Cognitive Processes in a Learning Trajectory Designed for Basic Geometric Constructions.
- Author
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Deniz, Ömer and Kabael, Tangül
- Abstract
In this study, it is aimed to design a learning trajectory that supports the conceptual infrastructure and dynamic ways of thinking in the process of basic geometric constructions of sixthgrade students and to examine the cognitive development of the students in this process. In this qualitative study, which is a design based research, data were collected through individual and group worksheets, video recordings of courses, field notes, homework sheets and clinical interviews with focus participants. The focus participants were determined by criterion sampling through an open-ended test developed for the concepts of point, line, line segment and ray, which were considered as prerequisites for the basic geometric constructions. The study was conducted in three phases which are preparation and design, teaching experiment and retrospective analysis. During the preparation and design phase, the initial hypothetical learning trajectory has been designed with the literature review performed to allow comprehensive analysis in epistemological and didactic aspects. Formative evaluations were made by micro analyzes during the teaching experiment carried out for the implementation and evaluation of the learning trajectory. Finally, comparative analysis was conducted on students' thinking processes and actions between the assumed learning trajectory and the actual learning trajectory. Consequently, the revised learning trajectory and students' developmental progress are presented in an interpretive framework. In the most general sense, supporting the cognitive actions such as realizing a construction in different ways and directions, taking into account the changing and unchanging aspects of the geometric structures during the construction process, interpreting the variability of the compass opening, revealing all of the possible points as a circle or part of the required points as an arc, making changes in the route of the steps and interpreting or defending these changes are important in building dynamic geometric constructions. It was noted that the students who could follow the algorithmic steps only operationally without making defense with mathematical justifications were able to put forward more static thinking processes. It was seen that learning environments limited only by analysis and construction phases might be insufficient in realizing constructions with strengthened conceptual infrastructure, and therefore, the importance of designing learning environments that provide opportunity for proof and discussion phases that support dynamic processes of thinking was revealed. In addition, it has been concluded that a learning trajectory which provides opportunity to take into consideration the characteristic features of the geometric structures in the constructions and to make connections with other structures or constructions makes important contributions in strengthening of the conceptual infrastructure. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
5. Variability of Gravel Pavement Roughness: An Analysis of the Impact on Vehicle Dynamic Response and Driving Comfort
- Author
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Vidas Žuraulis, Henrikas Sivilevičius, Eldar Šabanovič, Valentin Ivanov, and Viktor Skrickij
- Subjects
gravel pavement ,roughness ,straightedge ,power spectral density ,international roughness index ,vehicle response ,Technology ,Engineering (General). Civil engineering (General) ,TA1-2040 ,Biology (General) ,QH301-705.5 ,Physics ,QC1-999 ,Chemistry ,QD1-999 - Abstract
Gravel pavement has lower construction costs but poorer performance than asphalt surfaces on roads. It also emits dust and deforms under the impact of vehicle loads and ambient air factors; the resulting ripples and ruts constantly deepen, and therefore increase vehicle vibrations and fuel consumption, and reduce safe driving speed and comfort. In this study, existing pavement quality evaluation indexes are analysed, and a methodology for adapting them for roads with gravel pavement is proposed. We report the measured wave depth and length of gravel pavement profile using the straightedge method on a 160 m long road section at three stages of road utilization. The measured pavement elevation was processed according to ISO 8608, and the frequency response of a vehicle was investigated using simulations in MATLAB/Simulink. The international roughness index (IRI) analysis showed that a speed of 30–45 km/h instead of 80 km/h provided the objective results of the IRI calculation on the flexible pavement due to the decreasing velocity of a vehicle’s unsprung mass on a more deteriorated road pavement state. The influence of the corrugation phenomenon of gravel pavement was explored, identifying specific driving safety and comfort cases. Finally, an increase in the dynamic load coefficient (DLC) at a low speed of 30 km/h on the most deteriorated pavement and a high speed of 90 km/h on the middle-quality pavement demonstrated the demand for timely gravel pavement maintenance and the complicated prediction of a safe driving speed for drivers. The main relevant objectives of this study are the adaptation of a road roughness indicator to gravel pavement, including the evaluation of vehicle dynamic responses at different speeds and pavement deterioration states.
- Published
- 2021
- Full Text
- View/download PDF
6. Straightedge: A (White, Male, Middle-Classed) Music-Based Social Movement
- Author
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Maskell, Shayna L., author
- Published
- 2021
- Full Text
- View/download PDF
7. Lindemann’s Theorem
- Author
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Murty, M. Ram, Rath, Purusottam, Murty, M. Ram, and Rath, Purusottam
- Published
- 2014
- Full Text
- View/download PDF
8. Problems on Construction
- Author
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Grigorieva, Ellina and Grigorieva, Ellina
- Published
- 2013
- Full Text
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9. Punks Live on Straight Edge
- Author
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Wright, Jonathan, author and Barrett, Dawson, author
- Published
- 2021
- Full Text
- View/download PDF
10. Performance and Safety Enhancement Strategies in Vehicle Dynamics and Ground Contact.
- Author
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Farroni, Flavio, Farroni, Flavio, Genovese, Andrea, and Sakhnevych, Aleksandr
- Subjects
History of engineering & technology ,Technology: general issues ,ADAS ,Floquet theory applied to limit cycles ,Pacejka's magic formula ,Sommerfeld effects ,acceleration speed portraits ,actuator dynamics ,adhesion enhancement ,analytical travel speed amplitudes ,articulated vehicles ,artificial neural networks ,autonomous driving ,autonomous emergency steering ,autonomous vehicles ,central control ,comfort ,contact patch ,control allocation ,covariance equations ,curve fitting ,differential-algebraic systems ,dimple model ,directional stability ,driving comfort ,eigenvalue analysis ,empirical modeling ,energy consumption and recovery ,enhancement ,finite element analysis ,footprint ,friction ,friction estimate ,fuel-cell electric vehicles ,gravel pavement ,handling ,handling enhancement ,in-wheel motor ,intelligent vehicles ,international roughness index ,limit cycles ,limit flows of trajectories ,longitudinal interaction ,microscopic traffic simulation ,motorcycle ,multi-input multi-output model predictive control ,multibody ,n/ac ,noisy limit cycles ,non-linear model-based predictive control ,non-pneumatic tire ,nonlinear dynamic model ,optimisation ,patterned surfaces ,pitch behavior ,polar coordinates of roads ,potential friction ,power spectral density ,predictive control ,quarter car models ,quarter-car model ,rider ,road friction ,road models ,road profile ,road unevenness ,roll behavior ,roughness ,rubber ,screw axis ,self-steering behavior ,semi-active ,semi-active suspension ,sky-hook ,snake instability ,speed oscillations ,stability analysis ,stability in mean ,steady state analysis ,straightedge ,supercritical speeds ,suspension ,suspension performance ,suspension test bench ,tire characterization ,tire model parameters identification ,tire models ,tire tread ,tire-based control ,transmission layouts ,tyre ,vehicle dynamics ,vehicle response ,vehicle stability ,vehicle-road interaction ,velocity bifurcations ,vertical vehicle excitation ,viscoelastic modulus ,viscoelasticity ,wear ,weave ,wobble - Abstract
Summary: Recent trends in vehicle engineering are testament to the great efforts that scientists and industries have made to seek solutions to enhance both the performance and safety of vehicular systems. This Special Issue aims to contribute to the study of modern vehicle dynamics, attracting recent experimental and in-simulation advances that are the basis for current technological growth and future mobility. The area involves research, studies, and projects derived from vehicle dynamics that aim to enhance vehicle performance in terms of handling, comfort, and adherence, and to examine safety optimization in the emerging contexts of smart, connected, and autonomous driving.This Special Issue focuses on new findings in the following topics:(1) Experimental and modelling activities that aim to investigate interaction phenomena from the macroscale, analyzing vehicle data, to the microscale, accounting for local contact mechanics; (2) Control strategies focused on vehicle performance enhancement, in terms of handling/grip, comfort and safety for passengers, motorsports, and future mobility scenarios; (3) Innovative technologies to improve the safety and performance of the vehicle and its subsystems; (4) Identification of vehicle and tire/wheel model parameters and status with innovative methodologies and algorithms; (5) Implementation of real-time software, logics, and models in onboard architectures and driving simulators; (6) Studies and analyses oriented toward the correlation among the factors affecting vehicle performance and safety; (7) Application use cases in road and off-road vehicles, e-bikes, motorcycles, buses, trucks, etc.
11. Sensitivity of road unevenness indicators to short wavelength distresses in Portland cement concrete surfaces.
- Author
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Múčka, Peter
- Subjects
- *
EROSION , *ASPHALT pavements , *CONCRETE pavements , *VIBRATION (Mechanics) , *CIVIL engineering , *ROAD construction - Abstract
This paper examined the sensitivity of 20 road unevenness indicators (RUIs) for local discontinuities (various distresses, joints, joint and surface defects, cracks, spalls, other road features, humps, dips, etc.) of a maximum length of 20 cm in Portland cement concrete pavements. Approximately, 5500 road records totalling 530 km from the Long-Term Pavement Performance programme were processed. Raw profiles were separated into random and distress components using a median filtering method. The median filter was set to identify distress of a maximum length of 20 cm and with a minimal height of 3 mm. Over 26,000 distresses and their dimensions were identified. Raw longitudinal road profiles were compared with the separated pure random components. The most sensitive indicators of distresses were road elevation spectrum parameters in whole- and short-wave bands, the Profile Index and the road elevation root mean square (RMS) value in the short-wave band. Negligible sensitivity was observed for the International Roughness Index, road elevation RMS values and spectrum parameters in long- and medium-wave bands. The influence of road data pre-processing on the results was estimated. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
12. On Mascheroni's La geometria del compasso at the beginning of the 19th century
- Author
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Michael Friedman
- Subjects
History ,060105 history of science, technology & medicine ,Straightedge ,General Mathematics ,Philosophy ,Line (geometry) ,Euclidean geometry ,0601 history and archaeology ,06 humanities and the arts ,Axiom ,Epistemology - Abstract
Lorenzo Mascheroni 's 1797 work La geometria del compasso, which develops a geometry based solely on compass constructions, is considered by the author as stepping back behind the “demarcation line” of Euclidean geometry. In this work Mascheroni emphasizes the practical aspects of this geometry over a theoretical approach. A century later, in 1899, David Hilbert and his student Michael Feldblum proposed a totally different approach – algebraic and axiomatic – concerning geometric constructions based on various instruments. Taking into account that, at the end of the 18th century, straightedge geometry was also developed, one may ask what happened to the image of instrument-based geometry during the 19th century? By focusing on Mascheroni's book and its reception, this article aims to examine the various views and conceptions of mathematicians with respect to this geometry.
- Published
- 2021
- Full Text
- View/download PDF
13. Shortest Directed Networks in the Plane
- Author
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Alastair Maxwell and Konrad J. Swanepoel
- Subjects
Computational Geometry (cs.CG) ,FOS: Computer and information sciences ,Straightedge ,0211 other engineering and technologies ,0102 computer and information sciences ,02 engineering and technology ,Mathematical proof ,01 natural sciences ,Local structure ,Theoretical Computer Science ,Combinatorics ,Mathematics - Metric Geometry ,TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY ,Compass ,Euclidean geometry ,FOS: Mathematics ,Mathematics - Combinatorics ,05C20, 49Q10, 52A40, 90B10 ,Discrete Mathematics and Combinatorics ,QA Mathematics ,Mathematics - Optimization and Control ,Mathematics ,Metric Geometry (math.MG) ,021107 urban & regional planning ,Directed graph ,Optimization and Control (math.OC) ,010201 computation theory & mathematics ,Computer Science - Computational Geometry ,Combinatorics (math.CO) ,MathematicsofComputing_DISCRETEMATHEMATICS - Abstract
Given a set of sources and a set of sinks as points in the Euclidean plane, a directed network is a directed graph drawn in the plane with a directed path from each source to each sink. Such a network may contain nodes other than the given sources and sinks, called Steiner points. We characterize the local structure of the Steiner points in all shortest-length directed networks in the Euclidean plane. This characterization implies that these networks are constructible by straightedge and compass. Our results build on unpublished work of Alfaro, Campbell, Sher, and Soto from 1989 and 1990. Part of the proof is based on a new method that uses other norms in the plane. This approach gives more conceptual proofs of some of their results, and as a consequence, we also obtain results on shortest directed networks for these norms., 21 pages, 14 figures. To appear in Graphs and Combinatorics
- Published
- 2020
- Full Text
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14. Algebraic Numbers and Their Polynomials
- Author
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Arthur Jones, Sidney A. Morris, and Ken Pearson
- Subjects
Discrete mathematics ,Straightedge ,Fibonacci polynomials ,Real algebraic geometry ,Algebraic extension ,Field (mathematics) ,Algebraic number ,Algebraically closed field ,Real number ,Mathematics - Abstract
Straightedge and compass constructions can he used to produce line segments of various lengths relative to some preassigned unit length. Although the lengths are all real numbers, it turns out that not every real number can be obtained in this way. The lengths which can be constructed are rather special.
- Published
- 2022
- Full Text
- View/download PDF
15. Straightedge and Compass Constructions
- Author
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Sidney A. Morris, Arthur Jones, and Ken Pearson
- Subjects
Algebra ,Line segment ,Straightedge ,Computer science ,Compass ,Algebra over a field ,Algebraic number ,Connection (mathematics) - Abstract
In the previous chapters we developed the algebraic machinery for proving that the three famous geometric constructions are impossible. In this chapter we introduce some geometry and start to show the connection between algebra and the geometry of constructions.
- Published
- 2022
- Full Text
- View/download PDF
16. NEGOCIANDO CONDUTAS: ESTILO DE VIDA STRAIGHTEDGE NO BRASIL E OS DISCURSOS SOBRE POLÍTICA E SEXUALIDADE.
- Author
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de Menezes Bittencourt, João Batista
- Abstract
Copyright of Cadernos de Arte e Antropologia is the property of Cadernos de Arte e Antropologia and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2017
17. Scene report on straightedge hardcore punk and activism at the Festival Verdurada in São Paulo
- Author
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Jess Reia
- Subjects
Straightedge ,media_common.quotation_subject ,Art ,Punk ,media_common ,Visual arts - Published
- 2021
- Full Text
- View/download PDF
18. Variability of Gravel Pavement Roughness: Analysis of the Impact on Vehicle Response and Driving Comfort
- Author
-
Viktor Skrickij, Valentin Ivanov, Eldar Šabanovič, Henrikas Sivilevičius, and Vidas Žuraulis
- Subjects
International Roughness Index ,Straightedge ,Spectral density ,Environmental science ,Geotechnical engineering ,Surface finish ,automotive_engineering - Abstract
The gravel road pavement has a lower construction cost but poorer performance than the asphalt surface. It also emits dust and deforms under the impact of vehicle loads and ambient air factors. The resulting ripples and ruts are constantly deepening, increasing vehicle vibrations and fuel consumption, reducing safe driving speed and comfort. In this article, existing pavement quality evaluation indexes are analysed, and a methodology for their adaptation for roads with gravel pavement is proposed. This article reports the measured wave depth and length of the gravel pavement profile by the straightedge method of a 160 m long road section in three road exploitation stages. The measured pavement elevation was processed according to ISO 8608, and vehicle frequency response has been investigated using simulations in MATLAB/Simulink. The applied International Roughness Index (IRI) analysis showed that a speed of 30-45 km/h instead of 80 km/h provides the objective results of IRI calculation on the flexible pavement due to a decreasing velocity of vehicle's unsprung mass on a more deteriorated road pavement state. The influence of the corrugation phenomenon of gravel pavement has been explored, identifying specific driving safety and comfort cases. Finally, an increase in the Dynamic Load Coefficient (DLC) at a low speed of 30 km/h on the most deteriorated pavement and a high speed of 90 km/h on the middle-quality pavement demonstrates the demand for timely gravel pavement maintenance and the complicated prediction of a safe driving speed for drivers.
- Published
- 2021
19. A novel approximate method for multisecting an angle into n-equal segments by the straightedge, compass, and constructible lengths.
- Author
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Sabihi, Ahmad
- Subjects
- *
ARC length , *ANGLES , *MATHEMATICS research , *REAL numbers , *ANGULAR distance - Abstract
In this paper, we present a formula in order to divide an angle into n-equal segments so that n could be any constructible real number on the interval, [2,1000], The actual Arc length of a unit circle is then approximated by this formula. A novel approximate drawing method by a new algorithm is given for the division of an angle by the Straightedge and Compass. Computations show good agreement between the actual length and the novel formula approximation. The presented method in this paper is compared with the well-known methods of multisecting angles. Constructible numbers have also been discussed in light of our current findings. [ABSTRACT FROM AUTHOR]
- Published
- 2016
20. Seeing (Transitions to) Adulthood in Youth (Sub)cultural Studies Through the Eyes of Former Straightedge Adherents.
- Author
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Torkelson, Jason
- Subjects
- *
SUBCULTURES , *ADULTS , *SOCIAL groups , *CULTURAL identity , *IDENTITY (Philosophical concept) - Abstract
This article uses forty-four face-to-face interviews with individuals who formerly identified with straightedge-a clean-living, mostly youth-based (sub)culture-to explore the possible role chosen youth cultural identities play in adult transition, as well as extend recent work on aging and youth scenes by more deeply engaging both 'subjective adulthood' and the retrospective accounts of 'ex' members. Data show interviewees developing (paths to) subjective adulthoods substantially influenced by former affiliation with straightedge culture they frequently believe mark their (paths to) adulthoods fundamentally distinct from others in their age cohort. Particularly, individuals transitioning from straightedge recounted pronounced subculturally rooted antipathy toward adult conventionality, often envisioned alternative adult trajectories for themselves, discussed transitional impediments and opportunities they took to be unique to transitioning from straightedge, and, in indicating heightened awareness of adulthood's 'facework,' visualized a collective of others like them inside adult social spheres by virtue of the formative bases (former) scene affiliation provided them. Ultimately, findings suggest that the study of subjective adult transition may profit from directly considering the formative influence of elective youth identities. Likewise, perhaps the most fertile grounds in the turn toward examining aging and scenes might rest in meanings individuals attach to adulthood and transitioning, even for ex-members of certain communities. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
21. Sensitivity of Road Unevenness Indicators to Distresses of Composite Pavements.
- Author
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MÚČKA, Peter
- Subjects
- *
COMPOSITE pavements , *COMPOSITE construction , *STANDARD deviations , *PAVEMENT installation , *DESERT pavements - Abstract
The paper examined the sensitivity of nineteen road unevenness indicators (RUI) to the distresses (reflection cracks, transverse cracks) of the composite pavements. The simulated longitudinal road profiles with superimposed distresses were compared with the pure random part of profiles to estimate the difference in roughness. The influence of distress width, depth, density, and road data pre-processing (moving average base length and sampling interval) was estimated. Analysis of variance was provided to detect the significance of differences in estimated RUIs for distressed and random profiles. The most sensitive indicators to the presence of the reflection cracks were the root mean square (RMS) value in the short wave band, the road elevation spectrum parameters in the whole and short wave bands. A weak sensitivity was observed for the International Roughness Index (IRI), Ride Number (RN), Profilograph Index (PrI) or the road elevation RMS values in the long and medium wave bands. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
22. Cutting Cakes and Kissing Circles
- Author
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Alexander Müller-Hermes, Probabilités, statistique, physique mathématique (PSPM), Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), and European Project: 843414,TIPTOP
- Subjects
Straightedge ,General Mathematics ,Mathematics - History and Overview ,History and Overview (math.HO) ,010102 general mathematics ,05 social sciences ,01 natural sciences ,Combinatorics ,History and Philosophy of Science ,Simple (abstract algebra) ,Tangent circles ,Compass ,0502 economics and business ,FOS: Mathematics ,Center (algebra and category theory) ,0101 mathematics ,[MATH]Mathematics [math] ,Equal size ,050205 econometrics ,Mathematics - Abstract
To divide a cake into equal sized pieces most people use a knife and a mixture of luck and dexterity. These attempts are often met with varying success. Through precise geometric constructions performed with the knife replacing Euclid's straightedge and without using a compass we find methods for solving certain cake-cutting problems exactly. Since it is impossible to exactly bisect a circular cake when its center is not known, our constructions need to use multiple cakes. Using three circular cakes we present a simple method for bisecting each of them or to find their centers. Moreover, given a cake with marked center we present methods to cut it into n pieces of equal size for n=3,4 and 6. Our methods are based upon constructions by Steiner and Cauer from the 19th and early 20th century., Comment: 9 pages, 11 figures. Simplified proof of main result
- Published
- 2021
- Full Text
- View/download PDF
23. Pieri and Projective Geometry
- Author
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Francisco Rodríguez-Consuegra, Elena Anne Marchisotto, and James T. Smith
- Subjects
Straightedge ,Compass ,Geometry ,Mathematics ,Projective geometry - Abstract
Projective geometry can be described as the geometry of the straightedge, in comparison with Euclid’s geometry of straightedge and compass.
- Published
- 2021
- Full Text
- View/download PDF
24. Squaring the Circle: A Literary History
- Author
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Robert Tubbs
- Subjects
Literature ,History of literature ,Straightedge ,business.industry ,Philosophy ,Compass ,Squaring the circle ,Square (unit) ,business ,Construct (philosophy) - Abstract
We examine how three authors, Dante Alighieri, Margaret Cavendish, and James Joyce, employed allusions to the classical problem of squaring the circle, i.e., using only a compass and a straightedge to construct a square whose area equals that of a given circle. These discussions will be against the background of what was known mathematically about solving the problem when they wrote—respectively, in the fourteenth, seventeenth, and twentieth centuries. We will also discuss, as best as can be determined, what each author believed, knew, or could have known about the mathematical status of the problem and what this reveals about their use of the construction in their writings.
- Published
- 2020
- Full Text
- View/download PDF
25. The Sacralization of Straightedge Punk: Bhakti-yoga, Nada Brahma and the Divine Received: Embodiment of Krishnacore.
- Author
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Dines, Mike
- Subjects
- *
PUNK culture , *HARE Krishnas , *PUNK rock music , *BHAKTI yoga , *LIFESTYLES - Abstract
This article explores the formation of Krishnacore, a phenomenon born from the amalgamation of American straightedge punk and the Hare Krishna Movement in the 1990s. It argues that whilst shared choices of lifestyle, such as vegetarianism and a distaste for intoxicants and illicit sex, were core tenets towards the conception of the scene, it was bhakti-yoga (the theological and philosophical basis of the Hare Krishna Movement) that cemented such a relationship. Furthermore, it also explores the aesthetic context of punk within a Vedic context, in particular with reference to what is termed as ‘Nada-Brahma', or the sacralisation of sound. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF
26. On the Mechanization of Straightedge and Compass Constructions
- Author
-
Pascal Schreck
- Subjects
0209 industrial biotechnology ,Straightedge ,Computer science ,Mathematics::History and Overview ,02 engineering and technology ,Lebesgue integration ,Algebra ,symbols.namesake ,020901 industrial engineering & automation ,Development (topology) ,Compass ,Euclidean geometry ,0202 electrical engineering, electronic engineering, information engineering ,Computer Science (miscellaneous) ,symbols ,020201 artificial intelligence & image processing ,Algebraic number ,Algebra over a field ,Synthetic geometry ,Information Systems - Abstract
The geometric constructions obtained with only straightedge and compass are famous and play a special role in the development of geometry. On the one hand, the constructibility of figures is a key ingredient in Euclid geometry and, on the other hand, unconstructibility gave birth to famous open problems of the ancient Greece which were unlocked only in the nineteenth century using discoveries in algebra. This paper discusses the mechanization of straightedge and compass constructions. It focuses on the algebraic approaches and presents two methods which are implemented; one is due to Lebesgue and the other one was jointly designed by Gao and Chou. Some links between the algebraic approach of constructions and synthetic geometry are described.
- Published
- 2019
- Full Text
- View/download PDF
27. Implementing Euclid’s straightedge and compass constructions in type theory
- Author
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Ariel Kellison, Mark Bickford, and Robert L. Constable
- Subjects
Straightedge ,Computer science ,Applied Mathematics ,Mathematics::History and Overview ,Proof assistant ,Nuprl ,02 engineering and technology ,Intuitionistic type theory ,Predicate (mathematical logic) ,Constructive ,Type theory ,Artificial Intelligence ,Euclidean geometry ,0202 electrical engineering, electronic engineering, information engineering ,Calculus ,020201 artificial intelligence & image processing - Abstract
Constructions are central to the methodology of geometry presented in the Elements. This theory therefore poses a unique challenge to those concerned with the practice of constructive mathematics: can the Elements be faithfully captured in a modern constructive framework? In this paper, we outline our implementation of Euclidean geometry based on straightedge and compass constructions in the intuitionistic type theory of the Nuprl proof assistant. A result of our intuitionistic treatment of Euclidean geometry is a proof of the second proposition from Book I of the Elements in its full generality; a result that differs from other formally constructive accounts of Euclidean geometry. Our formalization of the straightedge and compass utilizes a predicate for orientation, which enables a concise and intuitive expression of Euclid’s constructions.
- Published
- 2018
- Full Text
- View/download PDF
28. Uses of construction in problems and theorems in Euclid’s Elements I–VI
- Author
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Nathan Sidoli
- Subjects
Interpretation (logic) ,060102 archaeology ,Straightedge ,Computer science ,media_common.quotation_subject ,Structure (category theory) ,06 humanities and the arts ,Mathematical proof ,Constructive ,Syntax (logic) ,Range (mathematics) ,Mathematics (miscellaneous) ,060105 history of science, technology & medicine ,History and Philosophy of Science ,Reading (process) ,Calculus ,0601 history and archaeology ,media_common - Abstract
In this paper, I present an interpretation of the use of constructions in both the problems and theorems of Elements I–VI, in light of the concept of given as developed in the Data, that makes a distinction between the way that constructions are used in problems, problem-constructions, and the way that they are used in theorems and in the proofs of problems, proof-constructions. I begin by showing that the general structure of a problem is slightly different from that stated by Proclus in his commentary on the Elements. I then give a reading of all five postulates, Elem. I.post.1–5, in terms of the concept of given. This is followed by a detailed exhibition of the syntax of problem-constructions, which shows that these are not practical instructions for using a straightedge and compass, but rather demonstrations of the existence of an effective procedure for introducing geometric objects, which procedure is reducible to operations of the postulates but not directly stated in terms of the postulates. Finally, I argue that theorems and the proofs of problems employ a wider range of constructive and semi- and non-constructive assumptions that those made possible by problems.
- Published
- 2018
- Full Text
- View/download PDF
29. Book Reviews
- Author
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Mike Dines, Ibrahim Abraham, and Rupert Loydell
- Subjects
Cultural Studies ,History ,Visual Arts and Performing Arts ,Straightedge ,media_common.quotation_subject ,Ethnography ,Art history ,Art ,Punk ,Sublime ,Religious identity ,Music ,media_common - Abstract
Review of Punk Rock is My Religion: Straightedge Punk and 'Religious Identity, by Francis Stewart. Punk & Post-Punk, 7(2) (2018), pp. 271-274.
- Published
- 2018
- Full Text
- View/download PDF
30. Thermal test piece for 5-axis machine tools
- Author
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Moritz Wiessner, Wolfgang Knapp, Josef Mayr, Sebastian Böhl, Konrad Wegener, and Philip Blaser
- Subjects
0209 industrial biotechnology ,business.product_category ,Straightedge ,Computer science ,General Engineering ,Mechanical engineering ,ComputerApplications_COMPUTERSINOTHERSYSTEMS ,02 engineering and technology ,Gauge (firearms) ,Coordinate-measuring machine ,Machine tool ,law.invention ,Metrology ,020303 mechanical engineering & transports ,020901 industrial engineering & automation ,0203 mechanical engineering ,law ,Micrometer ,Thermal ,Point (geometry) ,business - Abstract
The accuracy of 5-axis machine tools is a key factor to modern manufacturing of multi-axes machined workpieces. Up to 75% of errors on manufactured workpieces are caused by thermally induced errors of machine tools. In this paper a thermal test piece for evaluating thermal errors of machine tools equipped with rotary tables is introduced. In comparison to geometric test pieces, which detect geometrical errors of machine tools only, the developed thermal test piece visualizes thermally induced errors in X-, Y- and Z-direction as well as two additional angular errors at the tool center point (TCP) of 5-axis machine tools over time. Further, the thermal material expansion error of the test piece on centric clamped machined workpieces can be evaluated with the new thermal test piece. The presented thermal test piece is machined during a corresponding eight hour test cycle and tested on two 5-axis milling machines with different axis configurations. The thermal test piece can either be evaluated with a coordinate measuring machine (CMM) or manually with handheld measurement devices such as dial gauge, micrometer and straightedge. The thermal behavior of the two machine tools is also investigated, following the ISO 230-3:2007 regarding thermal errors of machine tools, under no-load or finishing conditions using the R-Test measurement setup. The resulting workpiece errors evaluated by using the thermal test piece are compared to the machine tool measurements. A good correspondence between the R-Test measurements and the thermal workpiece errors can be shown. CMM and handheld measurements are both capable to detect the thermal machine tool errors.
- Published
- 2018
- Full Text
- View/download PDF
31. The Delian Problem, Platonic Solids, and Finite Fields
- Author
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Matt D. Lunsford
- Subjects
Algebra ,symbols.namesake ,Finite field ,Straightedge ,General Mathematics ,Open problem ,Compass ,symbols ,GeneralLiterature_MISCELLANEOUS ,Platonic solid ,Mathematics - Abstract
Summary. The question of performing, by straightedge and compass only, the classic Greek construction problem of duplicating a cube remained a significant open problem in mathematics until the firs...
- Published
- 2019
- Full Text
- View/download PDF
32. straightedge
- Author
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Herrmann, Helmut and Bucksch, Herbert
- Published
- 2014
- Full Text
- View/download PDF
33. Relationship between International Roughness Index and Straightedge Index.
- Author
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Múčka, Peter
- Subjects
- *
PAVEMENTS , *ASPHALT concrete , *SURFACE roughness , *REGRESSION analysis , *LONGITUDINAL method , *MATHEMATICAL models - Abstract
This study presents the regression relationships between two commonly used indicators of longitudinal road unevenness, the international roughness index (IRI) and the straightedge index. A total of 290 real longitudinal road-profile records were processed. The asphalt-concrete and cement-concrete road surfaces were analyzed separately. Five differently defined straightedge indexes, i.e., the deviations between straightedge and profiles, were considered. The one-parameter linear approximation without an absolute term seems to be an appropriate model for fitting the unevenness indexes relation. The conversion relationships between five differently defined straightedge indexes were derived. The results were calculated as a function of a straightedge length in the range of 3 to 7.8 m. The two-parameter power function was shown to be the most suitable approximation model of the straightedge indexes dependence on the straightedge length. The analyzed influence of the different slab lengths of cement-concrete profiles on the conversion relationships indicated the marginal impact for the typical slab lengths. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
34. Guidelines of Roadway Undulation Measurements with Straightedges.
- Author
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Kuo, Chen-Ming and Tsai, Ting-Yi
- Subjects
- *
SPEED humps , *PAVEMENTS , *ROAD safety measures , *HEAVY construction , *SPEED limits , *WAVELENGTHS - Abstract
Straightedge is still widely adopted as a simple and reliable tool in pavement smoothness measurements, although rolling profilers have become more and more popular. If measured and interpreted correctly, the data collected with a straightedge is able to provide not only undulation depth but also profile wavelength. This study examines the basic features of measurements of roadway undulations with straightedges as well as the critical vibration frequencies for riding comfort. A universal gain curve is proposed to adjust measurements with various straightedges. A vehicle-pavement coupled system is formulated to find the natural frequencies of a vehicle, wheel axle, and pavement. The system also determines the wavelengths critical to riding comfort on roadways. Analysis with the coupled system shows that the vibrations critical to riding comfort may be magnified and transmitted through the wheel axle. The research suggests the suitable straightedge for specific wavelengths. The 3 meter straightedge is recommended on freeways with speed limits over 100 km/h, whereas the 1 meter straightedge is more suitable for urban streets to assure correct amplitudes of the critical waviness to riding comfort. Measurement interval is critical to the resolution of profile wavelengths. It is suggested that the measurement interval not exceed half of the critical wavelength. [ABSTRACT FROM AUTHOR]
- Published
- 2012
35. An Interesting Construction Problem
- Author
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Russell A. Gordon and José Carlos Santos
- Subjects
Engineering drawing ,Straightedge ,Computer science ,Simple (abstract algebra) ,General Mathematics ,Compass ,010102 general mathematics ,0101 mathematics ,01 natural sciences - Abstract
We present a collection of simple construction problems and determine conditions for which the construction can be carried out with compass and straightedge. Since the problems reduce to finding th...
- Published
- 2018
- Full Text
- View/download PDF
36. What Did Glaucon Draw?: A Diagrammatic Proof for Plato's Divided Line
- Author
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Terry Echterling
- Subjects
Literature ,060103 classics ,Straightedge ,business.industry ,Philosophy ,06 humanities and the arts ,Ancient Greek ,0603 philosophy, ethics and religion ,language.human_language ,law.invention ,SOCRATES ,Diagrammatic reasoning ,law ,060302 philosophy ,language ,CLARITY ,0601 history and archaeology ,Line (text file) ,business - Abstract
Despite the frequency and intensity of scholarly attention to Plato's important divided line passage in Republic 6, an ancient puzzle has repeatedly baffled interpreters: the two middle segments of the line are of equal length, although Socrates declares that the degree of clarity and truth increases in proportion to the contents of each of the line's four segments. The missing piece of the puzzle, I argue, is provided by the practice of ancient Greek geometry: diagrams were drawn with a compass and straightedge. Thus, as actually constructed in the fifth and fourth centuries BCE, the diagram itself vindicates Plato's text.
- Published
- 2018
- Full Text
- View/download PDF
37. An Appreciation of the First Book of Spherics
- Author
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Robert Thomas
- Subjects
Straightedge ,General Mathematics ,05 social sciences ,ComputerApplications_COMPUTERSINOTHERSYSTEMS ,06 humanities and the arts ,050905 science studies ,Blackboard (design pattern) ,060105 history of science, technology & medicine ,ComputerApplications_GENERAL ,ComputingMilieux_COMPUTERSANDEDUCATION ,Mathematics education ,0601 history and archaeology ,0509 other social sciences ,GeneralLiterature_REFERENCE(e.g.,dictionaries,encyclopedias,glossaries) ,Mathematics - Abstract
The first three books of Euclid’s Elements provide the charming classical introduction to deductive mathematics with the geometry of the blackboard. A blackboard with straightedge and a pair of com...
- Published
- 2018
- Full Text
- View/download PDF
38. Constructing and Exploring Triangles with GeoGebra.
- Author
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Fahlberg-Stojanovska, Linda and Trifunov, Zoran
- Abstract
We look at a new approach to mathematical constructions. Using GeoGebra, we first do dynamic analysis and exploration. Again with GeoGebra, we then do a strict compass and straightedge constructions. Finally and yet again with GeoGebra, we do dynamic testing and discussion of proof. In this paper, we work through a complete example of construction a triangle and discuss our results of using this method in the classroom. [ABSTRACT FROM AUTHOR]
- Published
- 2010
39. Life After (Straightedge) Subculture.
- Author
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Torkelson, Jason
- Subjects
- *
SOCIAL groups , *SOCIAL psychology , *SUBCULTURES , *GROUP formation , *SOCIOLOGICAL research ,TEENAGERS & society - Abstract
This paper uses 20 in-depth interviews with individuals who formerly identified as straightedge to explore a largely overlooked but potentially important dimension of youth subcultures: life after subculture. Interviews illustrate the potential importance of life after subculture for gaining a fuller understanding of subculture and indicate that residue from former subcultural affiliation can be a marker of a group’s relative substance. Interviews additionally underscore problems with prevailing theoretical models of subculture and support the claim that approaches to and conceptions of subculture should attend to phenomenological levels of analysis and potentialities. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF
40. Promoting Geometric Reasoning through Artistic Constructions
- Author
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Brittany Armstrong and Scott A. Courtney
- Subjects
Engineering drawing ,Straightedge ,Computer science ,Order (business) ,Compass ,Perpendicular ,Design elements and principles ,Protractor ,Midpoint ,Geometric reasoning - Abstract
In order to promote geometric understanding, teachers frequently use hands-on activities. Such activities can be used to expound upon the declarative statements and theorems of geometry. Using a compass, straightedge, and protractor, students are able to actively build conceptions involving bisectors, midpoints, and perpendicular lines. Additionally, activities that require students to problem-solve and formulate problems, using their construction knowledge and skills, can reinforce and strengthen that which they have learned. This article describes STEAM instruction with high school geometry students designed to productively integrate geometric constructions, digital technology, elements of art, and principles of design to enhance students’ geometric reasoning.
- Published
- 2021
- Full Text
- View/download PDF
41. 'Liberation’s Crusade Has Begun': Hare Krishna Hardcore Youth and Animal Rights Activism
- Author
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Pike, Sarah M., author
- Published
- 2017
- Full Text
- View/download PDF
42. The Angle Trisection Solution (A Compass-Straightedge (Ruler) Construction)
- Author
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Kimuya M Alex
- Subjects
Algebra ,Ruler ,business.product_category ,Straightedge ,Compass ,Mathematics::History and Overview ,Galois theory ,Euclidean geometry ,Angle trisection ,Algebraic number ,business ,Cubic function ,Mathematics - Abstract
This paper is devoted to exposition of a provable classical solution for the ancient Greeks classical geometric problem of angle trisection [3]. (Pierre Laurent Wantzel, 1837),presented an algebraic proof based on ideas from Galois field showing that, the angle trisection solution correspond to an implicit solution of the cubic equation; , which he stated as geometrically irreducible [23]. The primary objective of this novel work is to show the possibility to solve the trisection of an arbitrary angle using the traditional Greeks tools of geometry, and refutethe presented proof of angle trisection impossibility statement. The exposedproof of the solution is theorem , which is based on the classical rules of Euclidean geometry, contrary to the Archimedes proposition of usinga marked straightedge construction [4], [11].
- Published
- 2017
- Full Text
- View/download PDF
43. Authentic Identities.
- Author
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Williams, J. Patrick
- Subjects
- *
MUSIC , *INTERNET , *SUBCULTURES , *COMMUNICATION , *IDENTITY (Philosophical concept) - Abstract
In this article, the author examines the relative roles of music and the internet for self-identifying members of the straightedge youth subculture. For nearly 30 years, subcultures have been conceptualized primarily in terms of music and style. Participation has therefore typically been characterized by the consumption of specific types of music and clothing and participation in local, face-to-face music scenes. However, with the recent growth of information and communication technologies like the internet, opportunities have emerged that enable individuals to participate in subcultures in which they otherwise might not participate. The author shows that a new type of subculturalist is emerging--one whose subcultural participation is limited to the internet. Using the concepts of authenticity and scene, the author explores how participants in a straightedge internet forum negotiate their affiliations with the subculture and how some members attempt to half others' claims to a straightedge identity. The study suggests that the internet is emerging as a new, but highly contested, subcultural scene. [ABSTRACT FROM AUTHOR]
- Published
- 2006
- Full Text
- View/download PDF
44. Precision measurement of Z-slide vertical error motion of an ultra-precision lathe by using three-probe method
- Author
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So Ito, Chun Hong Park, Yuan Liu Chen, Jung Chul Lee, Yuki Shimizu, Jeong Seok Oh, Zengyuan Niu, Wei Gao, Daiki Matsuura, and Ryo Kobayashi
- Subjects
Form error ,0209 industrial biotechnology ,Measurement method ,Straightedge ,business.industry ,Computer science ,Mechanical Engineering ,Acoustics ,System of measurement ,02 engineering and technology ,021001 nanoscience & nanotechnology ,Industrial and Manufacturing Engineering ,020901 industrial engineering & automation ,Error separation ,Deflection (engineering) ,Computer vision ,Artificial intelligence ,Measurement repeatability ,Electrical and Electronic Engineering ,0210 nano-technology ,business ,Ultra precision - Abstract
This paper presents a precision measurement of the Z-slide vertical error motion of an ultra-precision lathe based on a three-probe measurement method. The vertical error motion of the Z-slide, which is composed of the vertical parallelism error motion and the vertical straightness error motion, is measured by utilizing three displacement measuring probes to scan a self-cut roll workpiece and an accurate straightedge, respectively. A series of factors which could influence the measurement of the vertical error motion, including the error motion of the spindle, the surface form error of the reference object and the horizontal error motion of the Z-slide, are all successfully removed by using the proposed three-probe measurement system with an error separation method. The influence of the gravity induced deflection of the roll workpiece on the measurement of the Z-slide vertical parallelism error motion is also discussed. Experiments were carried out to verify the feasibility of the proposed methods on a three-axis ultra-precision lathe. The vertical straightness error motion was evaluated to be 133 nm with a measurement repeatability of 21 nm and the vertical parallelism error motion was evaluated to be 12.1 μm with a measurement repeatability of 38 nm.
- Published
- 2017
- Full Text
- View/download PDF
45. RAVE AND STRAIGHTEDGE, THE VIRTUAL AND THE REAL : Exploring Online and Offline Experiences in Canadian Youth Subcultures.
- Author
-
Wilson, Brian and Atkinson, Michael
- Subjects
- *
RAVE culture , *SUBCULTURES , *INTERNET & teenagers , *SOCIAL groups , *POPULAR culture - Abstract
Over the past 10 years, sociologists have attended to the impacts of the Internet on youth subcultural coalescence, display, identity, and resistance. In this article, the authors develop a critique of this body of work, describing how existing research places undue emphasis on young people `s experiences either online or offline and how a lack of consideration has been given to the ways that subcultural expressions are continuous across the apparent "virtual-real" divide. With the aim of addressing some of these concerns, the authors draw on ethnographic case studies of "Rave" and "Straightedge" to explore the impact of the two realities (i.e., online and offline realities) on understandings of subcultural experience in these youth formations and articulate how the theoretical split between the virtual and real in cyber-subcultural research does not accurately capture the lived experiences or identity negotiations of these youth. [ABSTRACT FROM AUTHOR]
- Published
- 2005
- Full Text
- View/download PDF
46. Introduction: The Projective Plane and Central Collineations
- Author
-
Christopher Baltus
- Subjects
Pure mathematics ,Straightedge ,Collineation ,Conic section ,Line (geometry) ,Projective plane ,Ellipse ,Parallel ,Mathematics ,Projective geometry - Abstract
This book grew from the idea that much of projective geometry is the elaboration of a simple concept, the central collineation. A central collineation is a construction, carried out with just a straightedge and a device to construct parallel lines, following the simplest rules, that transforms one diagram into another. We call it a collineation because a line is always transformed to a line. We’ll soon explain the meaning of central. And how is a circle transformed? That is the marvelous part, for a circle becomes a parabola or ellipse or hyperbola—a conic section. And all conic sections can be formed this way.
- Published
- 2020
- Full Text
- View/download PDF
47. Simple Origami Geometry
- Author
-
Tetsuo Ida
- Subjects
Straightedge ,Computer science ,Compass ,Geometry ,Geometric shape - Abstract
We discuss the basic fold rules of origami. With a small number of fold rules, we can construct geometric shapes that we see at geometry classes of schools. We construct those shapes usually by a straightedge and a compass, so-called a Euclidian tool of construction. We explain the set of the basic fold rules and show, by examples, that it is as powerful as a straightedge and a compass. Furthermore, we show that the set of basic fold rules enables us to construct the shapes by folding by hand. The set of the basic fold rules is the main ingredient of more powerful Huzita-Justin’s fold rules that we discuss in Chapter 3.
- Published
- 2020
- Full Text
- View/download PDF
48. Origami Geometry based on Huzita-Justin Folds
- Author
-
Tetsuo Ida
- Subjects
Straightedge ,Compass ,Euclidean geometry ,Degenerate energy levels ,Geometry ,Fold (geology) ,Finite set ,Mathematics - Abstract
We discuss an origami geometry based on Huzita-Justin’s basic folds. In the 2D Euclidean geometry, we use a straightedge and a compass to construct geometric objects. We show that Huzita-Justin’s basic folds can construct them without such tools but by hand. We reformulate Huzita-Justin’s fold rules by giving them precise conditions for their use. We prove that we can decide whether, by the reformulated rules, we can perform a fold as specified by the parameters. Furthermore, we show that the rules yield a finite number of fold-lines. We present an alternative single general fold based on one of Huzita-Justine’s fold rules without incident and degenerate conditions. We show how the general fold rule can realize each of the reformulated folds. Huzita-Justin’s fold rules are more powerful than a straightedge and a compass as a tool of geometric construction. The famous examples to verify this fact are computing a cube root of a positive number and trisecting an arbitrary angle. We show the concrete programs to solve the problems.
- Published
- 2020
- Full Text
- View/download PDF
49. Galois Theory II
- Author
-
Rajnikant Sinha
- Subjects
Pure mathematics ,Development (topology) ,Line segment ,Straightedge ,Degree (graph theory) ,Galois theory ,Constructible number ,Unit (ring theory) ,Real number ,Mathematics - Abstract
Roughly, a real number a is called a constructible number if by the application of straightedge and compass we can construct, given a line segment of unit length, a line segment of length a. In some familiar geometric situations, we shall apply the results of Galois theory. In our general development, we shall show that the general polynomial equation of degree five has no solution in radicals.
- Published
- 2019
- Full Text
- View/download PDF
50. Assessment of Using Inertial Profilers to Measure Ride Quality on Short Projects
- Author
-
Prasad Buddhavarapu, Jorge A Prozzi, Sareh Kouchaki, and Andre de Fortier Smit
- Subjects
International Roughness Index ,Engineering ,Inertial frame of reference ,Straightedge ,business.industry ,Mechanical Engineering ,Segment length ,Ride quality ,business ,Simulation ,Civil and Structural Engineering ,Marine engineering - Abstract
The Texas Department of Transportation (DOT) ride standard specifies two devices for measuring ride quality on pavement projects: the 10-ft (3-m) straightedge and the inertial profiler. According to this specification, inertial profilers measure the ride quality on projects longer than 2,500 ft (762 m). The 10-ft straightedge must be used to survey roughness for projects of less than 2,500 ft. A study was conducted to identify the potential issues associated with the use of inertial profilers and the international roughness index (IRI) algorithm on short projects. A literature review was performed to collect required information about the inertial profiler operation and the IRI algorithm. A field experiment was conducted with an inertial profiler certified by the Texas DOT. The collected data were analyzed to investigate the effect of profiling speed and segment length. The results indicate that inertial profilers can be used to collect profile data on short segments of less than 2,500 ft, but the IRI algorithm should be used on projects longer than 528 ft (161 m), below which the variation between IRI results increases significantly.
- Published
- 2017
- Full Text
- View/download PDF
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