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Linear Systems of Rational Curves on Rational Surfaces [PDF]

open access: yesMoscow Mathematical Journal, 2012
Given a curve C on a projective nonsingular rational surface S, over an algebraically closed field of characteristic zero, we are interested in the set Omega_C of linear systems Lambda on S satisfying C is in Lambda, dim Lambda > 0, and the general member of Lambda is a rational curve.
Daigle, Daniel   +1 more
openaire   +2 more sources

Arcs and wedges on rational surface singularities [PDF]

open access: yes, 2011
Given a rational surface singularity (S,P0) over an algebraically closed field of characteristic 0, we prove that its minimal desingularization satisfies the property of lifting wedges centered at those stable points Pα of the space of arcs S∞ which ...
Reguera, Ana J., Ana J. Reguera
core   +1 more source

Fuzzy interpolation rational bicubic bezier surface [PDF]

open access: yes, 2016
This paper introduces fuzzy interpolation rational bicubic Bezier surface (later known as FIRBBS) which can be used to model the fuzzy data forms after defining uncertainty data by using fuzzy set theory.
Rozaimi Zakaria   +3 more
core   +1 more source

Monotone Data Visualization Using Rational Trigonometric Spline Interpolation

open access: yesThe Scientific World Journal, 2014
Rational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively. The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function ...
Farheen Ibraheem   +2 more
doaj   +1 more source

Rational rolling ball blending of natural quadrics

open access: yesMathematical Modelling and Analysis, 2000
We construct a blending surface of two natural quadrics using rational variable rolling ball approach, i.e. as a canal surface with a rational spine curve and a rational radius. All general positions of the given quadric surfaces are considered.
K. Karčiauskas, R. Krasauskas
doaj   +1 more source

Non Kählerian surfaces with a cycle of rational curves

open access: yesComplex Manifolds, 2021
Let S be a compact complex surface in class VII0+ containing a cycle of rational curves C = ∑Dj. Let D = C + A be the maximal connected divisor containing C.
Dloussky Georges
doaj   +1 more source

Shape preserving rational bi-cubic function

open access: yesEgyptian Informatics Journal, 2012
The study is dedicated to the development of shape preserving interpolation scheme for monotone and convex data. A rational bi-cubic function with parameters is used for interpolation.
Malik Zawwar Hussain   +2 more
doaj   +1 more source

On the measurable dynamics of real rational functions [PDF]

open access: yes, 2003
Let f be a real rational function with all critical points on the extended real axis and of even order. Then: (1) f carries no invariant line field on the Julia set unless it is doubly covered by an integral torus endomorphism (a Lattés example); and
Shen, Weixiao, Weixiao Shen
core   +1 more source

Optimal bound for the number of (−1)-curves on extremal rational surfaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We give an optimal bound for the number of (−1)-curves on an extremal rational surface X under the assumption that −KX is numerically effective and having self-intersection zero.
Mustapha Lahyane
doaj   +1 more source

Study on Optimal Sampling Analysis of Soil Moisture at Field Scale for Remote Sensing Applications

open access: yesAtmosphere, 2023
With the rapid development of soil moisture estimation techniques involving remote sensing technology, the sampling designs used in soil moisture research are very important. To estimate the rational sample number for measuring near-surface soil moisture
Chunmei Wang   +5 more
doaj   +1 more source

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