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Christopher Leigh mann separate from Google GitHub Microsoft IBM cloud this is ChristopherleighMann@google.com Wikus

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Summary

Description
English: Infinitesimals (ε) and infinites (ω) on the hyperreal number line at three different scales, each enlarged by an infinite factor. 1/ε = ω/1. In the first line, finite numbers can not be distinguished because they are all stuck infinitely close to zero, in the second line infinitesimals are indistinguishable, being infinitely small (close to zero), and in the third line the infinites are indistinguishable (being close to infinity).
Español: En la figura siguiente se ha representado la recta de los hiperreales a tres escalas distintas: ω es un número infinito cualquiera (como los que puede demostrarse que existen en un modelo no estándar de la teoría de los reales) y ε es un infinitesimal, también cualquiera. Ambos son positivos. Para pasar de una línea a la siguiente agrandamos la escala de un factor infinito. En la primera línea, los números finitos no se pueden distinguir porque están todos infinitamente próximos al cero, como pegados. En la segunda son los infinitesimales que no se pueden vislumbrar, y los infinitos están lógicamente a una distancia infinita del cero.
Português: Os números hiper-reais.
Bahasa Indonesia: Infinitesimal dari (ε) dan nilai tak hingga (ω) pada garis bilangan hiperreal pada tiga skala berbeda, masing-masing diperbesar oleh faktor tak hingga. 1/ε = ω/1. Pada baris pertama, bilangan hingga tidak dapat dibedakan karena semuanya terjebak mendekati nol, di baris kedua infinitesimal tidak dapat dibedakan, menjadi sangat kecil (mendekati nol), dan di baris ketiga ketak hinggaan tidak bisa dibedakan (mendekati tak terhingga)
Date
Source Taken by M.Romero Schmidtke for Enciclopedia Libre en español
Author Taken by M.Romero Schmidtke for Enciclopedia Libre en español

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24 February 2005

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Date/TimeThumbnailDimensionsUserComment
current03:15, 27 February 2022Thumbnail for version as of 03:15, 27 February 2022804 × 297 (2 KB)TSamuelLossless filesize recompression via Compress-Or-Die.Com
11:00, 24 February 2005Thumbnail for version as of 11:00, 24 February 2005804 × 297 (10 KB)EcemamlHyperreal Numbers

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