All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

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