Carol M. Kopp edits features on a wide range of subjects for Investopedia, including investing, personal finance, retirement planning, taxes, business management, and career development. Khadija ...

The five patterns illustrated below provide the basis for all other sentence structures: that is, other kinds of sentences are transformations of these basic patterns. Though the above sentences are ...

Abstract: Geometric algorithms rely on predicates, among them, the 2D and 3D orientation and incircle tests are important ones. Shewchuk's adaptive floating-point predicate is a well-known C ...

Abstract: We introduce a unifying framework for proving that predicate P is hard-core for a one-way function f, and apply it to a broad family of functions and predicates, reproving old results in an ...

Steven Nickolas is a writer and has 10+ years of experience working as a consultant to retail and institutional investors. Ebony Howard is a certified public accountant and a QuickBooks ProAdvisor tax ...