A characterization of continuous images of arcs by their images of weight ≤ א 1 Ivan

א1-directed Inverse Systems of Continuous Images of Arcs

Themain purpose of this paper is to prove that if X= {Xa,pab,A} is a usual א1directed inverse system of continuous images of arcs with monotone bonding mappings, then X = limX is a continuous image of an arc (Theorem 2.4). Some applications of this statement are also given.

A Note on Inverse Limits of Continuous Images of Arcs

The main purpose of this paper is to prove some theorems concerning inverse systems and limits of continuous images of arcs. In particular, we shall prove that if X = {Xa, pab, A} is an inverse system of continuous images of arcs with monotone bonding mappings such that cf(card(A)) = ω1, then X = limX is a continuous image of an arc if and only if each proper subsystem {Xa, pab, B} of X with cf...

On images of continuous functions from a compact manifold to Euclidean space

The Relationship between the Continuous Imaginal World and the Discontinuous Imaginative Faculty in Ascending and Descending Arcs according to Suhrawardi and Mulla Sadra

One of the most important issues for Muslim philosophers is the continuous imaginal world and its relationship with the discontinuous imaginative faculty. The continuous imaginal world is a perceptive faculty of the soul known as the faculty of imagination. The discontinuous imaginative faculty is the order of the universe called the imaginal world, which Muslim philosophers have portrayed in a...

Novel Automated Method for Minirhizotron Image Analysis: Root Detection using Curvelet Transform

In this article a new method is introduced for distinguishing roots and background based on their digital curvelet transform in minirhizotron images. In the proposed method, the nonlinear mapping is applied on sub-band curvelet components followed by boundary detection using energy optimization concept. The curvelet transform has the excellent capability in detecting roots with different orient...