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SDXL model-based optimization for interior design: Data-driven and deep learning methods. [PDF]
PLoS OneZhou X, Kim S, Chen Y.
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2021
Four-dimensional theories match Virtual Reality because here time and space are configured through mutable lines. Since the discovery of non-Euclidean geometry, linearity has been submitted to a profound crisis. Mathematicians showed that there are not one but several geometries.
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Four-dimensional theories match Virtual Reality because here time and space are configured through mutable lines. Since the discovery of non-Euclidean geometry, linearity has been submitted to a profound crisis. Mathematicians showed that there are not one but several geometries.
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1989
Surprisingly, the geometry of curved surfaces throws light on the geometry of the plane. More than 2000 years after Euclid formulated axioms for plane geometry, differential geometry showed that the parallel axiom does not follow from the other axioms of Euclid.
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Surprisingly, the geometry of curved surfaces throws light on the geometry of the plane. More than 2000 years after Euclid formulated axioms for plane geometry, differential geometry showed that the parallel axiom does not follow from the other axioms of Euclid.
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The Mathematics Teacher, 1922
About 2200 years ago there was published in Greek one of the most remarkable books of all times, Euclid's “Elements of Geometry”. It contains a systematic exposition of the leading propositions of elementary geometry and the elementary theory of numbers. It was at once adopted by the Greeks as the standard text book on pure mathematics.
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About 2200 years ago there was published in Greek one of the most remarkable books of all times, Euclid's “Elements of Geometry”. It contains a systematic exposition of the leading propositions of elementary geometry and the elementary theory of numbers. It was at once adopted by the Greeks as the standard text book on pure mathematics.
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