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solve a + k b entier , ou a moins d'epsilon d'un

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https://www.novabbs.com/tech/article-flat.php?id=152072&group=sci.math#152072

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From: schwa...@delq.com (Barry Schwarz)
Newsgroups: sci.math
Subject: solve a + k b entier , ou a moins d'epsilon d'un
Date: Fri, 10 Nov 2023 00:16:42 -0800
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by: Barry Schwarz - Fri, 10 Nov 2023 08:16 UTC

On Thu, 9 Nov 2023 17:27:10 +0100, robby@pla.net.invalid wrote:

>Hello !
>
>chui pas bon pour les résolutions en nombres entiers :-/
>
>soit a,b deux réels positifs.
>je cherche k un entier
>tel que a + k b soit à moins de epsilon d'un entier.
>
>? combien vaut k ?

There may not be an integer k that does what you want.

Let a = .5 and b = 1. a + k*b will never be closer to an integer than
..5

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tech / sci.math / solve a + k b entier , ou a moins d'epsilon d'un

Subject	Author
solve a + k b entier , ou a moins d'epsilon d'un	Barry Schwarz