What does band model mean?

Definitions for band model
band mod·el

This dictionary definitions page includes all the possible meanings, example usage and translations of the word band model.

Wikipedia

  1. Band model

    In geometry, the band model is a conformal model of the hyperbolic plane. The band model employs a portion of the Euclidean plane between two parallel lines. Distance is preserved along one line through the middle of the band. Assuming the band is given by { z ∈ C : | Im ⁡ z | < π / 2 } {\displaystyle \{z\in \mathbb {C} :\left|\operatorname {Im} z\right|<\pi /2\}} , the metric is given by | d z | sec ⁡ ( Im ⁡ z ) {\displaystyle |dz|\sec(\operatorname {Im} z)} . Geodesics include the line along the middle of the band, and any open line segment perpendicular to boundaries of the band connecting the sides of the band. All geodesics have ends with either are orthogonal to the boundaries of the band or which approach ± ∞ {\displaystyle \pm \infty } . Lines parallel to the boundaries of the band within the band are hypercycles whose centers are the line through the middle of the band.

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Numerology

  1. Chaldean Numerology

    The numerical value of band model in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of band model in Pythagorean Numerology is: 7

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"band model." Definitions.net. STANDS4 LLC, 2024. Web. 23 Apr. 2024. <https://www.definitions.net/definition/band+model>.

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