Keyword: Interiors : Search

Anywhere

Advanced Search

SEARCH GUIDE

Results: 1 - 2of2

Follow results:

refine search

Filters

per page:

Sort: Relevance

Context for search term 1Search term 1*

All Dates

LastSelect static range

Custom Range

Select starting monthSelect starting year

Select ending monthSelect ending year

Advanced

Search name	Searched On	Run search
Keyword: Interiors (2)	31 Mar 2025	Run
Keyword: Tcp/hap (1)	31 Mar 2025	Run
Keyword: Myoblasts (1)	31 Mar 2025	Run
Keyword: Glutamate (15)	31 Mar 2025	Run
Keyword: Md5-group (1)	31 Mar 2025	Run

articleNo Access
ARITHMETIC ON MORAN SETS
- XIAOMIN REN,
- LI TIAN,
- JIALI ZHU, and
- KAN JIANG
Fractals01 Dec 2019
Preview Abstract
Let $(ℳ, c_{k}, n_{k})$ be a class of Moran sets. We assume that the convex hull of any $E \in (ℳ, c_{k}, n_{k})$ is $[0, 1]$ . Let $A, B$ be two nonempty sets in $ℝ$ . Suppose that $f$ is a continuous function defined on an open set $U \subset ℝ^{2}$ . Denote the continuous image of $f$ by
$f_{U} (A, B) = {f (x, y) : (x, y) \in (A \times B) \cap U} .$
In this paper, we prove the following result. Let $E_{1}, E_{2} \in (ℳ, c_{k}, n_{k})$ . Suppose that $\partial_{x} f$ and $\partial_{y} f$ are continuous if there exists some $(x_{0}, y_{0}) \in (E_{1} \times E_{2}) \cap U$ such that
$sup_{k \geq 1} {1 - c_{k} n_{k}} < |\frac{\partial_{y} f |_{(x_{0}, y_{0})}}{\partial_{x} f |_{(x_{0}, y_{0})}}| < inf_{k \geq 1} \{\frac{c_{k}}{1 - n_{k} c_{k}}\},$
then $f_{U} (E_{1}, E_{2})$ contains an interior.
chapterNo Access
A PURE GEOMETRIC PRIMITIVE MODEL FOR A MAIN SEQUENCE STAR
- MAMDOUH I. WANAS and
- SAMAH A. AMMAR
The Twelfth Marcel Grossmann Meeting01 Feb 2012
Preview Abstract
The field equations, of a pure geometric field theory, are solved in the case of spherical symmetry. The solution obtained is shown to be an interior one with pure geometric material-energy tensor. This solution is obtained, assuming a perfect fluid filling a spherical configuration. An equation of state is obtained from, and not imposed on, the model. If the model is considered to represent a main sequence star, it gives rise to a corona and a radiation zone. Possibility of existence of a convection zone is discussed. Comparison with the parameters of the Sun is given.