Is A "non-decreasing" Sequence "increasing"? - Exchangetuts

Questions Linux Laravel Mysql Ubuntu Git Menu HTML CSS JAVASCRIPT SQL PYTHON PHP BOOTSTRAP JAVA JQUERY R React Kotlin × Linux Laravel Mysql Ubuntu Git is a "non-decreasing" sequence "increasing"?

Tags:

algorithm

While studying the book "Introduction to Algorithms by Cormen", I found a strange thing. Everywhere if it refers to an increasing order, the book refers it as "non-decreasing" order.. I mean, if a series (2,5,6,3) is to be arranged in "non-decreasing" order.. is'nt it already right?? or "increasing" and "non-decreasing" words mean one and the same?

624 asked Dec 26 '09 14:12

Vaibhav

People also ask

Can a sequence be non-increasing and non-decreasing?

A sequence which is either increasing, decreasing, non-increasing, or non-decreasing is called a monotone sequence. A sequence which is either increasing, or decreasing is called strictly monotone.

What is a non-decreasing sequence?

Non-decreasing sequences are a generalization of binary covering arrays, which has made research on non-decreasing sequences important in both math and computer science. The goal of this research is to find properties of these non- decreasing sequences as the variables d, s, and t change.

How do you know if a sequence is non-increasing or decreasing?

If an≤an+1 a n ≤ a n + 1 for all n, then the sequence is non-decreasing . If an>an+1 a n > a n + 1 for all n, then the sequence is decreasing or strictly decreasing . If an≥an+1 a n ≥ a n + 1 then the sequence is non-increasing .

Is a sequence increasing or decreasing?

Definition A sequence (an) is: strictly increasing if, for all n, an < an+1; increasing if, for all n, an ≤ an+1; strictly decreasing if, for all n, an > an+1; decreasing if, for all n, an ≥ an+1; monotonic if it is increasing or decreasing or both; non-monotonic if it is neither increasing nor decreasing.

1 Answers

Increasing - 1 2 3 4

Nondecreasing - 1 1 2 3

The difference being that in an increasing sequence, for x(n) and x(n+1), x(n+1) > x(n) whereas in a non-decreasing sequence, x(n+1) >= x(n)

52 answered Sep 16 '22 23:09

danben

Sign in to Comment

Related questions

What is the meaning of O( polylog(n) )? In particular, how is polylog(n) defined? Iterative DFS vs Recursive DFS and different elements order Two Rectangles intersection How do I convert an Int to a String in C# without using ToString()? Parsing one terabyte of text and efficiently counting the number of occurrences of each word How to delete in a heap data structure? detect last foreach loop iteration Check if a binary tree is a mirror image or symmetric Is complexity O(log(n)) equivalent to O(sqrt(n))? Good algorithm and data structure for looking up words with missing letters? Which is better: O(n log n) or O(n^2) How to find the only number in an array that doesn't occur twice [duplicate] What is the right approach when using STL container for median calculation? Use of for_each on map elements Bellman-Ford vs Dijkstra: Under what circumstances is Bellman-Ford better? Higher-order unification What is holding genetic programming back? Fast way to generate pseudo-random bits with a given probability of 0 or 1 for each bit Reason for the number 5381 in the DJB hash function? Finding cartesian product with PHP associative arrays

• Recent Activity

• How to count common concepts and store the result in a matrix?
• visual studio 2015 web api - no web api template
• Ansible shell and with_items
• curl command for an xmlrpc command
• Laravel / Eloquent order Relationship Descending without Raw SQL?
• Returning an obejct which is created inside a function

Donate For Us

If you love us? You can donate to us via Paypal or buy me a coffee so we can maintain and grow! Thank you!

Donate Us With