Metric geometry

Dilation (metric space)

In mathematics, a dilation is a function from a metric space into itself that satisfies the identity for all points , where is the distance from to and is some positive real number. In Euclidean space, such a dilation is a similarity of the space. Dilations change the size but not the shape of an object or figure. Every dilation of a Euclidean space that is not a congruence has a unique fixed point that is called the center of dilation. Some congruences have fixed points and others do not. (Wikipedia).

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Relativistic time dilation.

From playlist Physics - Special Relativity

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Relativistic time dilation.

From playlist Physics - Special Relativity

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Relativistic time dilation.

From playlist Physics - Special Relativity

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Special Relativity B3 Time Dilation

Relativistic time dilation.

From playlist Physics - Special Relativity

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Topology

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From playlist Proofs

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From playlist Special Relativity

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From playlist Relativity

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From playlist The Maths of General Relativity

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From playlist Workshop: Calculus of Variations in Probability and Geometry

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From playlist Colorado School of Mines/Alex Flournoy: General Relativity | CosmoLearning.org Physics

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Discover how Einstein's general theory of relativity spans the cosmic spectrum from planetary orbits to black holes! Sponsored by Babbel 🎉: Start speaking a new language in 3 weeks. Get up to 65% OFF your subscription ▶️ HERE: https://go.babbel.com/12m65-youtube-physicswithelliot-may-2022/

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Related pages

Metric space | Congruence (geometry) | Mathematics | Function (mathematics) | Dilation (operator theory) | Fixed point (mathematics) | Real number | Euclidean space | Homothety | Similarity (geometry)