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Finite geometries: pure mathematics close to applications
Oberwolfach'tan
Finite geometries: pure mathematics close to applications
The research field of finite geometries investigates structures with a finite number of objects. Classical examples include vector spaces, projective spaces, and affine spaces over finite fields. Although many of these structures are studied for their geometrical importance, they are also of great interest in other, more applied domains of mathematics. In this snapshot, finite vector spaces are introduced. We discuss the geometrical concept of partial t-spreads together with its implications for the “packing problem” and a recent application in the existence of “cooling codes”.
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Matematiksel konular
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Cebir ve Sayılar Kuramı
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Ayrık Matematik ve Matematiğin Temelleri
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometri ve Topoloji
Diğer alanlarla ilişkiler
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Bilgisayar Bilimeri
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Mühendislik ve Teknoloji
Lisans
DOI (Dijital nesne belirteci)
10.14760/SNAP-2021-010-EN
PDF indir
snapshots: overview
Matematiksel konular
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Cebir ve Sayılar Kuramı
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analiz
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Eğitim ve Eğitim Bilimi
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Ayrık Matematik ve Matematiğin Temelleri
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometri ve Topoloji
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/scientific-computing-13.png?itok=ITl1i8bo)
Nümerik ve Hesap Analizi
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Olasılık Kuramı ve İstatistik
Diğer alanlarla ilişkiler
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/earth-science-08.png?itok=cZerm-ci)
Kimya ve Yer Bilimler
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Bilgisayar Bilimeri
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Mühendislik ve Teknoloji
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Finans
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Beşeri ve Sosyal Bilimler
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Yaşam Bilimleri
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Fizik
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/reflections-05.png?itok=9gMon4LN)
Matematik Üzerine Düşünceler