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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We prove that its derivative exists almost everywhere and vanishes almost everywhere.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We study the involution of the real line, induced by Dyer's outer automorphism of PGL(2,Z).
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Temel Bulgular & Veri:It is continuous at irrationals with jump discontinuities at rationals.
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Sonuç & Katkı:We prove that its derivative exists almost everywhere and vanishes almost everywhere.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Involution · PGL · projective general linear group
Abstract
We study the involution of the real line, induced by Dyer's outer automorphism of PGL(2,Z). It is continuous at irrationals with jump discontinuities at rationals. We prove that its derivative exists almost everywhere and vanishes almost everywhere.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
ULUDAĞ, A. M., AYRAL, H. (2019). An involution of reals, discontinuous on rationals, and whose derivative vanishes a.e.. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 3, 1770–1775. https://ajindex.com/articles/185592