Tight bounds on angle sums of nonobtuse simplices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00447563" target="_blank" >RIV/67985840:_____/15:00447563 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2015.02.035" target="_blank" >http://dx.doi.org/10.1016/j.amc.2015.02.035</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2015.02.035" target="_blank" >10.1016/j.amc.2015.02.035</a>
Alternative languages
Result language
angličtina
Original language name
Tight bounds on angle sums of nonobtuse simplices
Original language description
It is widely known that the sum of the angles of a triangle equals two right angles. Far less known are the answers to similar questions for tetrahedra and higher dimensional simplices. In this paper we review some of these less known results, and look at them from a different point of view. Then we continue to derive tight bounds on the dihedral angle sums for the subclass of nonobtuse simplices. All the dihedral angles of such simplices are less than or equal to right. They have several important applications (Brandts et al., 2009). The main conclusion is that when the spatial dimension n is even, the range of dihedral angle sums of nonobtuse simplices is n times smaller than the corresponding range for arbitrary simplices. When n is odd, it is n-1n-1 times smaller.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/GA14-02067S" target="_blank" >GA14-02067S: Advanced methods for flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
—
Volume of the periodical
267
Issue of the periodical within the volume
15 September
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
397-408
UT code for WoS article
000361571100031
EID of the result in the Scopus database
2-s2.0-84942982453