January 17, 2019  January 17, 2019 08:00 AM PST 09:00 AM PST Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL. January 19, 2019 January 19, 2019 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
|
Author |
Message |
|
TAGS:
|
|
|
Retired Moderator
Joined: 18 Sep 2014
Posts: 1114
Location: India
|
The greatest integer function
[#permalink]
Show Tags
 12 Aug 2016, 08:22
THE GREATEST INTEGER FUNCTION  Definition: This step function is a piece-wise defined function.
The name piece-wise is used to indicated that the function is pieced together, or put together using other functions.
Think of steps. Think of paying sales tax, or income tax, or buying postage stamps.
Think of paying a nice round number for all services or numbers up to the next round number.
Think of the greatest integer less than or equal to the number in question. That's the greatest integer function.
Its symbol is [[x]]. Its graph looks like steps as above.
The function has discontinuities, breaks, going from one "step" to the next. In each interval, the lower endpoint is included (as shown by a colored in circle) and the upper endpoint (as shown by a hollow circle) is not included because it is included in the next "step."Keypoints: If the number is an integer, use that integer.
If the number is not an integer, use the next smaller integer.
A small table of values
|
|
|
|
|
|
Current Student
Status: It`s Just a pirates life !
Joined: 21 Mar 2014
Posts: 231
Location: India
Concentration: Strategy, Operations
GPA: 4
WE: Consulting (Manufacturing)
|
Re: The greatest integer function
[#permalink]
Show Tags
24 Aug 2016, 22:54
Nevernevergiveup wrote: THE GREATEST INTEGER FUNCTION Definition: This step function is a piece-wise defined function.
The name piece-wise is used to indicated that the function is pieced together, or put together using other functions.
Think of steps. Think of paying sales tax, or income tax, or buying postage stamps.
Think of paying a nice round number for all services or numbers up to the next round number.
Think of the greatest integer less than or equal to the number in question. That's the greatest integer function.
Its symbol is [[x]]. Its graph looks like steps as above.
The function has discontinuities, breaks, going from one "step" to the next. In each interval, the lower endpoint is included (as shown by a colored in circle) and the upper endpoint (as shown by a hollow circle) is not included because it is included in the next "step."Keypoints: If the number is an integer, use that integer.
If the number is not an integer, use the next smaller integer.
A small table of valuesBrilliant article. Just to top off a typical caveat in GMAT problem`s. The Greatest integer function of "-0.9" is "0" and not "-1". We tend to miss this quite often. In the negative scale, the closer a number is to the origin, the bigger it is. Cheers Balaji
_________________
Aiming for a 3 digit number with 7 as hundredths Digit
|
|
|
|
|
|
Retired Moderator
Joined: 18 Sep 2014
Posts: 1114
Location: India
|
Re: The greatest integer function
[#permalink]
Show Tags
28 Oct 2016, 23:05
Balajikarthick1990 wrote:
Brilliant article. Just to top off a typical caveat in GMAT problem`s.
The Greatest integer function of "-0.9" is "0" and not "-1". Nope We tend to miss this quite often. In the negative scale, the closer a number is to the origin, the bigger it is.
Cheers
Balaji
Balajikarthick1990[-0.9] = -1 and not 0. you can refer below links http://www.icoachmath.com/math_dictiona ... ction.htmlhttps://www.youtube.com/watch?v=gZsV-uR6ysghttps://www.youtube.com/watch?v=bGZI9rwWb-Q
|
|
|
|
|
|
Non-Human User
Joined: 09 Sep 2013
Posts: 9416
|
Re: The greatest integer function
[#permalink]
Show Tags
05 Nov 2017, 19:33
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
|
|
|
|
|
|
|
Re: The greatest integer function &nbs
[#permalink]
05 Nov 2017, 19:33
|
|
|
|
|
|
|
|
|
|
|
close
