Register to reply

Basic question: meaning of partition of R into maximal connected intervals

by seeker101
Tags: basic, meaning
Share this thread:
seeker101
#1
Feb25-10, 04:23 AM
P: 28
What does the phrase "partition of [tex]R[/tex] into maximal connected intervals" mean?

The full sentence: "Let [tex]I_1, I_2, .... ,I_m[/tex] be the partition of [tex]R[/tex] into maximal connected intervals with disjoint interiors."
Phys.Org News Partner Mathematics news on Phys.org
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture
Iranian is first woman to win 'Nobel Prize of maths' (Update)
slider142
#2
Feb25-10, 04:29 AM
P: 898
Without knowing the context, it appears the author means that it is not possible to add another interval to the finite sequence that is connected and has disjoint interior. Ie., I1 = (-oo, 0], I2 = [0, oo).


Register to reply

Related Discussions
A basic question: What does closed form mean? General Math 3
Meaning of: Indicate magnitude & direction of all vectors Introductory Physics Homework 6
Meaning of vanishes outside a set of finite measure Calculus 2
About the meaning of words like is and are General Discussion 12
Confused on the divides relation, find all greatest, least, maximal, minal elememen Calculus & Beyond Homework 2