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A large range of symmetries in art is presented through clear and aesthetically outstanding examples of historical ornaments. Compendious comments illustrate the selected photographic material by addressing the interested and specialist reader alike. Contents:Introduction, Fundamental categories, The convenient start: Plane groups of symmetry, Intertwined patterns: Layer groups of symmetry, Two-colored periodic ornamentation, Polychromatic patterns, Beyond 2D groups: Hypersymmetry, superstructures, two symmetries in one pattern, the "order-disorder" patterns, homothety and similarity, inversion and nonlinear patterns, Quasiperiodi, c patternsFractals and fractal, characterStyle and symmetry - symmetry and style, Refer.ces, Index

Symmetry (Art) --- Crystallography. --- Symmetry. --- Repetitive patterns (Decorative arts) --- Decoration and ornament. --- Art, Decorative --- Decorative art --- Decorative design --- Design, Decorative --- Nature in ornament --- Ornament --- Painting, Decorative --- Art --- Decorative arts --- Arts and crafts movement --- Repeat patterns (Decorative arts) --- Decoration and ornament --- Pattern perception --- Aesthetics --- Proportion --- Leptology --- Physical sciences --- Mineralogy --- Form (Aesthetics) --- Proportion (Art) --- Decoration and ornament, Primitive

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"What is the connection between finding the amount of acid needed to reach the desired concentration of a chemical solution, checking divisibility by a two-digit prime number, and maintaining the perimeter of a polygon while reducing its area? The simple answer is the title of this book. The world is an interplay of variation and constancy – a medley of differences and similarities – and this change and invariance is, largely, a language of science and mathematics. This book proposes a unique approach for developing mathematical insight through the perspective of change and invariance as it applies to the properties of numbers and shapes. After a short introductory chapter, each of the following chapters presents a series of evolving activities for students that focus on a specific aspect of interplay between change and invariance. Each activity is accompanied by detailed mathematical explanations and a didactic discussion. The assignments start with tasks familiar from the school curriculum, but progress beyond the menial to lead to sophisticated generalizations. Further activities are suggested to augment the chapter’s theme. Some examples: “How to represent all the integers from zero to 1000 using ten fingers?”, “How to win at the game of Nim?”, “Why do different square lattice polygons with the same area often have the same perimeter?” This book can be used as a textbook for pre-service mathematics teachers and is primarily intended for their academic instructors. Essentially, students, teachers and anyone interested in elementary mathematics will enjoy the elegant solutions provided for the plethora of problems in elementary mathematics through the systematic approach of invariance and change.".

Education. --- Education, general. --- Symmetry (Mathematics) --- Mathematics --- Mathematical models. --- Study and teaching. --- Models, Mathematical --- Simulation methods --- Invariance (Mathematics) --- Group theory --- Automorphisms --- Children --- Education, Primitive --- Education of children --- Human resource development --- Instruction --- Pedagogy --- Schooling --- Students --- Youth --- Civilization --- Learning and scholarship --- Mental discipline --- Schools --- Teaching --- Training --- Education --- Algebra. --- Geometry, Algebraic. --- Philosophy. --- Logic of mathematics --- Mathematics, Logic of --- Algebraic geometry --- Geometry --- Mathematical analysis

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The purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities. Contents:IntroductionParticle Number Operators in Quantum Mechanics and in Quantum Field TheoryGeometry of Quantum Field TheoriesBasics of Wilson Lines in QCDGauge-Invariant Parton DensitiesSimplifying Wilson Line CalculationsBrief Literature GuideConventions and Reference FormulaeIntegrationsBibliographyIndex

Quantum chromodynamics. --- Partons. --- Gauge invariance. --- Gauge fields (Physics) --- Fields, Gauge (Physics) --- Gage fields (Physics) --- Gauge theories (Physics) --- Field theory (Physics) --- Group theory --- Symmetry (Physics) --- Gage invariance --- Gauge transformations --- Invariance, Gauge --- Electromagnetism --- Transformations (Mathematics) --- Parton model --- Hadrons --- Particles (Nuclear physics) --- Quarks --- Chromodynamics, Quantum --- QCD (Nuclear physics) --- Quantum electrodynamics --- QCD factorization. --- Wilson lines and loops. --- gauge-invariance. --- parton density functions. --- perturbative calculations in QCD. --- transverse-momentum dependence.

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This book traces the history of 'girls' aesthetics,' where adult Japanese women create art works about 'girls' that resist motherhood, from the modern to the contemporary period and their manifestation in Japanese women's theatrical and dance performance and visual arts including manga, film, and installation arts.

Theater --- Women in the theater --- Aesthetics, Japanese. --- Performing arts --- 792.8(520) --- 7.039 --- Beeldende kunst ; installaties ; Japan ; 20ste en 21ste eeuw --- Performing arts ; dans ; theater ; vrouwelijke kunstenaars --- Gender studies --- Kabuki-theater --- No-theater --- Kunst en maatschappij ; Japan --- Feminisme --- 802372767 --- Show business --- Arts --- Performance art --- Japanese aesthetics --- History. --- Philosophy. --- History --- Theater ; voorstellingen van bewegingskunst, balletten, dansen ; Japan --- Kunstgeschiedenis ; 2000 - 2050 --- Drama --- Music, Dance, Drama & Film --- Aesthetics, Japanese --- Philosophy --- Theater-History. --- Performing arts. --- Theater. --- Arts. --- Aesthetics. --- Theatre History. --- Performing Arts. --- Theatre and Performance Studies. --- Beautiful, The --- Beauty --- Esthetics --- Taste (Aesthetics) --- Art --- Criticism --- Literature --- Proportion --- Symmetry --- Arts, Fine --- Arts, Occidental --- Arts, Western --- Fine arts --- Humanities --- Dramatics --- Histrionics --- Professional theater --- Stage --- Theatre --- Acting --- Actors --- Psychology --- Theater—History. --- Arts, Primitive --- Radio broadcasting Aesthetics --- Aesthetics