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Golden section --- Coordination dimensionnelle --- Proportion --- Nombre d'or --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Mathematics --- Aesthetics of art --- mathematics --- proportion --- golden section
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Golden section --- 514 --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Gulden snede (geometrie) --- Aesthetics of art --- Architecture --- architecture [discipline] --- golden section --- gulden snede --- architectuur
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The Beauty of Fractals includes six essays related to fractals, with perspectives different enough to give you a taste of the breadth of the subject. Each essay is self-contained and expository. Moreover, each of the essays is intended to be accessible to a broad audience that includes college teachers, high school teachers, advanced undergraduate students, and others who wish to learn or teach about topics in fractals that are not regularly in textbooks on fractals.
Fractals. --- Fractals in art. --- Golden section. --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology)
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In this text, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. Fibonacci series and generalized Finobacci series and their relationship to the golden ratio are also presented.
Fibonacci numbers. --- Golden section. --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Fibonacci sequence --- Numbers, Fibonacci --- Sequence, Fibonacci --- Recurrent sequences (Mathematics)
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Aesthetics --- kunst --- kunsttheorie --- proporties --- gulden snede --- dodecaëders --- goddelijke proportie --- Pacioli Luca --- Plato --- Plutarchus --- esthetica --- Pythagoras --- renaissance --- romantiek --- Fibonacci --- 7.013 --- Geometry --- Golden section --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Mathematics --- Euclid's Elements --- #A9903A --- Theses --- Geometry. --- Golden section.
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Mathematical logic
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Metalanguage
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Metataal
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Métalangage
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Métalangue
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Architecture
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-Golden section
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#BIBC:ruil
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Golden section. --- Fibonacci numbers. --- Nombre d'or --- 511.1 --- 51-7 --- Fibonacci sequence --- Numbers, Fibonacci --- Sequence, Fibonacci --- Recurrent sequences (Mathematics) --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Elementary arithmetic --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 511.1 Elementary arithmetic --- Fibonacci numbers --- Golden section --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc
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A sweeping cultural history of one of the most influential mathematical books ever writtenEuclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its lasting influence today.In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the workshops of Restoration London to the Jesuit mission in China and the artisans' studios of medieval Baghdad. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space.Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its continuing role in the timeless search for order and reason in an unruly world.
Geometry. --- Mathematics. --- Math --- Science --- Mathematics --- Euclid's Elements --- Euclid. --- Euclides. --- Alfred North Whitehead. --- Baruch Spinoza. --- Bodleian Library. --- Copernicus. --- Edna St. Vincent Millay. --- Euclidean geometry. --- Galileo Galilei. --- Galileo. --- Hobbes. --- Johannes Kepler. --- Kepler. --- Platonic solids. --- Proclus. --- Ptolemaic Egypt. --- Pythagorean theorem. --- Spinoza. --- Thales' theorem. --- Thomas Hobbes. --- Vatican Library. --- book history. --- geometric algebra. --- golden ratio. --- great books. --- history of math. --- history of mathematics. --- history of the book. --- lemma. --- logic. --- mathematical proofs. --- music theory. --- parallel postulate. --- perspective. --- plane geometry. --- prime numbers. --- Elements (Euclid) --- Elementa (Euclides) --- Eukleidou stoicheia (Euclid) --- Stoicheia (Euclid) --- Elementa (Euclid)
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With advances in dental materials and their clinical applications, as well as innovations in computer technology, dental treatment is constantly evolving. In particular, adhesion technology to the tooth surface, implant treatments, and the application of CAD/CAM technology are very interesting topics for clinical dentists. As a bonding technique, the influence of the pre-etched area of the tooth surface on the adhesive strength can be reduced by the new application of a functional monomer. Additionally, the effect of an advanced adhesive system as a universal adhesive-derived primer, when compared with the two-step adhesive, is helpful for updating the applications of new materials. Dental implants are one of the most interesting dental treatments. PEEK (polyetheretherketone) has recently been reported as a further innovation in polymer implant materials, although it has not yet met the requirements to be a biomechanical requirement. In the placement of mini-screws used in orthodontic treatments, micro-cracks caused by overtorquing in thick and hard bone, and the consequent heat production, can reduce the success rate. Computer-aided design/computer-aided manufacturing (CAD/CAM) techniques are becoming increasingly popular. Since complete dentures can be produced using an additive (3D printing) or subtractive (milling) process, CAD/CAM techniques for denture fabrication have many clinical and laboratory advantages. Innovative and convenient dental material technology will be more and more expected in the future. This book has limited findings, but we hope that your clinical capability will be integrated and upgraded.
denture base --- complete denture --- acrylic resin --- CAD-CAM --- milling resin --- eye-tracking --- aesthetics --- golden ratio --- forensics --- caries model --- Streptococcus mutans --- demineralization --- dental caries --- molar intrusion --- orthodontic treatment --- temporomandibular disorder --- occlusal splint --- centric relation --- bracket debonding --- dental enamel --- scanning electron microscopy --- orthodontics --- methacrylate monomer --- heat polymerization --- mechanical properties --- resin infiltration --- two-step adhesive system --- universal adhesive-derived primer --- adhesive layer thickness --- enamel bond durability --- orthodontic screw --- mini-implant --- pre-drilling --- heat production --- temperature --- irrigation --- cooled irrigation --- safety --- bone drilling --- orthodontic adhesive paste --- functional monomer --- pre-etched area --- chewing exercise --- masticatory function --- masticatory pattern --- open bite --- TADs --- cephalometric analysis --- treatment option criteria --- ROC analysis --- orthodontic retainer --- oral hygiene --- gingival recession --- patient compliance --- n/a
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