The sine theorem and inequalities for volumes of simplices and determinants

DOI10.1016/0024-3795(93)00196-7zbMath0824.51015OpenAlexW2061748236WikidataQ126657490 ScholiaQ126657490MaRDI QIDQ1890751

Darko Veljan

Publication date: 23 May 1995

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(93)00196-7

zbMATH Keywords

volumeinequalitysimplicessine theorem

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area and volume in real or complex geometry (51M25) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (max. 100)

A geometrical interpretation of the inverse matrix ⋮ Improved Euler's inequalities in plane and space ⋮ Inequalities for medians of two simplices ⋮ Inequalities for vertex distances of two simplices ⋮ On \(d\)-dimensional \(d\)-semimetrics and simplex-type inequalities for high-dimensional sine functions ⋮ Vertex angles for simplices ⋮ Inequalities for two simplices ⋮ Inequalities for any point and two simplices ⋮ The generalized sine theorem and inequalities for simplices

Cites Work

• The law of sines for tetrahedra and \(n\)-simplices
• A generalisation to several dimensions of the Neuberg-Pedoe inequality, with applications
• The sine theorem for simplexes in $E_n$
• Determinantensätze und Simplexeigenschaften (Verallgemeinerung trigonometrischer Lehrsätze auf n‐dimensionale Simplexe)
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