Restricted - Orientation

نویسندگان

  • Derick Woody
  • Derick Wood
چکیده

Restricted-orientation convexity, also called O-convexity, is the study of geometric objects whose intersection with lines from some xed set is empty or connected. We introduce restricted-orientation halfspaces, which are an O-convexity analog of halfspaces, explore their properties, and demonstrate their relationship to restricted-orientation convex sets. ABSTRACT Restricted-orientation convexity, also called O-convexity, is the study of geometric objects whose intersection with lines from some xed set is empty or connected. We introduce restricted-orientation halfspaces, which are an O-convexity analog of halfspaces, explore their properties, and demonstrate their relationship to restricted-orientation convex sets.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Restricted-Orientation Halfspaces

Restricted-orientation convexity, also called O-convexity, is the study of geometric objects whose intersection with lines from some fixed set is empty or connected. We introduce restricted-orientation halfspaces, which are an O-convexity analog of halfspaces, explore their properties, and demonstrate their relationship to restricted-orientation convex sets.

متن کامل

Restricted-Orientation Convexity in Higher-Dimensional Spaces

A restricted-oriented convex set is a set whose intersection with any line from a fixed set of orientations is either empty or connected. This notion generalizes both orthogonal convexity and normal convexity. The aim of this paper is to establish a mathematical foundation for the theory of restricted-oriented convex sets in higher-dimensional spaces.

متن کامل

Generalized Halfspaces in Restricted-orientation Convexity 1

Restricted-orientation convexity (O-convexity) is the study of geometric objects whose intersections with lines from some xed set O of orientations are empty or connected. The notion of O-convexity generalizes standard convexity, as well as several other types of nontraditional convexity. We introduce and study O-halfspaces, which are analogs of standard halfspaces in the theory of O-convexity,...

متن کامل

Differences in Reading Beliefs/Practices of L2 Teachers: Undergraduate versus Graduate Degree Holders

In their attempt to shed light on the factors contributing to the incongruity between L2 reading teachers’ beliefs and practices, most of the researchers have resorted to teachers’ personal perspectives. As a partial replication of the research carried out by Karimi and Dehghani (2016), the current study sought to broaden this restricted scope by examining the role of te...

متن کامل

Fundamentals of Restricted-orientation Convexity Fundamentals of Restricted-orientation Convexity

A restricted-orientation convex set, also called an O-convex set, is a set of points whose intersection with lines from some xed set is empty or connected. The notion of O-convexity generalizes standard convexity and orthogonal convexity. We explore some of the basic properties of O-convex sets in two and higher dimensions. We also study O-connected sets, which are restricted O-convex sets with...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996