My Math Forum  

Go Back   My Math Forum > College Math Forum > Number Theory

Number Theory Number Theory Math Forum

LinkBack Thread Tools Display Modes
September 28th, 2008, 07:45 PM   #1
Joined: Sep 2008

Posts: 3
Thanks: 0

terms "non-increasing" or "non-decreasing"

My question may look silly for the mathematicians guys but I really wonder why the terms "non-increasing" or "non-decreasing" are used to describe the nature of sequences in standard "Real Analysis" texts instead of simple "increasing" or "decreasing" terms.
Ujjwal is offline  
September 29th, 2008, 02:06 AM   #2
Site Founder
julien's Avatar
Joined: Nov 2006
From: France

Posts: 824
Thanks: 7

Re: terms "non-increasing" or "non-decreasing"

In Anglo-saxon countries, the terms "increasing" and "decreasing" convey a strict meaning: thus, the sequence 1,2,3,4 is increasing, but the sequence 1,2,3,3 is not. However, in some Latin countries (such as France, and under the impulse of Bourbaki), the latter sequence is said to be increasing. According to the Anglo-saxon terminology, this same sequence will be said to be non-decreasing. The same consideration applies to the terminology "nonnegative".
julien is offline  
September 29th, 2008, 07:06 AM   #3
Global Moderator
CRGreathouse's Avatar
Joined: Nov 2006
From: UTC -5

Posts: 16,046
Thanks: 937

Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms
Re: terms "non-increasing" or "non-decreasing"

Some authors use "increasing" to mean "strictly increasing" (1, 2, 3, but not 1, 1, 3), while others use it to mean "nondecreasing" (1, 2, 3 as well as 1, 1, 3).
CRGreathouse is offline  

  My Math Forum > College Math Forum > Number Theory

nondecreasing, nonincreasing, terms

Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Can anyone help me finding this book "Evariste Galois "Toti" johnmath Math Books 6 January 27th, 2013 03:13 PM
A "simple" application of dirac delta "shift theorem" SedaKhold Calculus 0 February 13th, 2012 11:45 AM
"separate and integrate" or "Orangutang method" The Chaz Calculus 1 August 5th, 2011 09:03 PM
Proving "Square Rule root" for Limits with Delta-Epsilon Def scherz0 Calculus 1 October 17th, 2009 04:38 AM
sample exeriment-need help finding "statistic" and "result" katie0127 Advanced Statistics 0 December 3rd, 2008 01:54 PM

Copyright © 2017 My Math Forum. All rights reserved.