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Description
| - Continuing earlier studies over the real numbers, in this paper we study of the expressible set of a sequence ${\cal A} =(a_n)_{n\geq 1}$ of $p$-adic numbers, which we define to be the set $E^p _{\cal A} = \{ \sum _{n\geq 1}a_nc_n : c_n \in \mathbb{N} \}$. We show that in certain circumstances we can calculate the Haar measure of $E^p_{\cal A}$ exactly. It turns out that our results extend to sequences of matrices with $p$-adic entries, so this is the setting in which we work.
- Continuing earlier studies over the real numbers, in this paper we study of the expressible set of a sequence ${\cal A} =(a_n)_{n\geq 1}$ of $p$-adic numbers, which we define to be the set $E^p _{\cal A} = \{ \sum _{n\geq 1}a_nc_n : c_n \in \mathbb{N} \}$. We show that in certain circumstances we can calculate the Haar measure of $E^p_{\cal A}$ exactly. It turns out that our results extend to sequences of matrices with $p$-adic entries, so this is the setting in which we work. (en)
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Title
| - On expressible sets and p-adic numbers
- On expressible sets and p-adic numbers (en)
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skos:prefLabel
| - On expressible sets and p-adic numbers
- On expressible sets and p-adic numbers (en)
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skos:notation
| - RIV/61988987:17610/11:A1200R9F!RIV12-MSM-17610___
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/07/0191), S, V, Z(MSM6198898701)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/61988987:17610/11:A1200R9F
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - expressible set; $p$-adic numbers (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - GB - Spojené království Velké Británie a Severního Irska
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Hančl, Jaroslav
- Pulcerová, Simona
- Nair, Radhakrishnan
- Šustek, Jan
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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is http://linked.open...avai/riv/vysledek
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