full
search.png

Search

close.png

Cancel

arrow
Volume 21, Issue 4
Real Piecewise Algebraic Variety

Ren-Hong Wang & Yi-Sheng Lai

J. Comp. Math., 21 (2003), pp. 473-480.

Published online: 2003-08

Preview Full PDF 2478 24766

Cited by

google scholar semantic scholar
Export citation
  • Abstract

We give definitions of real piecewise algebraic variety and its dimension. By using the techniques of real radical ideal, P-radical ideal, affine Hilbert polynomial, Bernstein-net form of polynomials on simplex, and decomposition of semi-algebraic set, etc., we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in $C^\mu$ spline ring.

  • Keywords

Dimension, Real piecewise algebraic variety, $C^\mu$ spline ring.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-21-473, author = {Wang , Ren-Hong and Lai , Yi-Sheng}, title = {Real Piecewise Algebraic Variety}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {4}, pages = {473--480}, abstract = {

We give definitions of real piecewise algebraic variety and its dimension. By using the techniques of real radical ideal, P-radical ideal, affine Hilbert polynomial, Bernstein-net form of polynomials on simplex, and decomposition of semi-algebraic set, etc., we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in $C^\mu$ spline ring.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10250.html} }
TY - JOUR T1 - Real Piecewise Algebraic Variety AU - Wang , Ren-Hong AU - Lai , Yi-Sheng JO - Journal of Computational Mathematics VL - 4 SP - 473 EP - 480 PY - 2003 DA - 2003/08 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10250.html KW - Dimension, Real piecewise algebraic variety, $C^\mu$ spline ring. AB -

We give definitions of real piecewise algebraic variety and its dimension. By using the techniques of real radical ideal, P-radical ideal, affine Hilbert polynomial, Bernstein-net form of polynomials on simplex, and decomposition of semi-algebraic set, etc., we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in $C^\mu$ spline ring.

Wang , Ren-Hong and Lai , Yi-Sheng. (2003). Real Piecewise Algebraic Variety. Journal of Computational Mathematics. 21 (4). 473-480. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard