Register to reply

What does [x] means in mathematics ?

by momentum
Tags: mathematics, means
Share this thread:
momentum
#1
Mar16-06, 02:27 AM
P: 32
what does [x] means in mathematics ?

i have found [x]= "the greatest integer <=x "

is this true ?

then, what will be the answer of of .....
[3],[1.5],[-1.5],[3.5]




i am trying to answer, please correct me

[3]=3
[1.5]=1
[-1.5]=-1
[3.5]=3

are these correct ?
Phys.Org News Partner Mathematics news on Phys.org
'Moral victories' might spare you from losing again
Fair cake cutting gets its own algorithm
Effort to model Facebook yields key to famous math problem (and a prize)
shmoe
#2
Mar16-06, 06:28 AM
Sci Advisor
HW Helper
P: 1,995
[] meaning greatest integer is a common use of the [], but it can vary.You should check whatever book your problems are from, they should define what they mean by the notation.

If it is the greatest integer function, then "[-1.5]=-1" isn't correct. You want the greatest integer less than or equal to -1.5, so it can't be -1 as -1.5<-1.
jim mcnamara
#3
Mar16-06, 10:18 AM
Sci Advisor
PF Gold
P: 1,379
So, in what way is the defintion for [tex][ x ][/tex] you've given different from [tex]\lfloor x \rfloor [/tex] ? - also given to be the symbol for the floor function, which matches the definition you gave.

None, AFAIK, just a "who's the author" thing.

IMO, it's just a bad nomen confusum problem. I've also seen it used in characteristic functions. Somebody ought to pick one use, and pitch the rest.... :) and penalize deviating authors 10 points for misuse. :)

matt grime
#4
Mar16-06, 11:35 AM
Sci Advisor
HW Helper
P: 9,398
What does [x] means in mathematics ?

Rubbish, Jim: there are far too few symbols possible and far too meanings that need to be conveyed. Context makes it clear what is going on.
arildno
#5
Mar16-06, 11:40 AM
Sci Advisor
HW Helper
PF Gold
P: 12,016
Uniqe and fossilized use of symbols is counter-productive of developing flexibility of the mind. It is the definition AT HAND that matters, and if the chosen notation is convenient for its purpose.


Register to reply

Related Discussions
Does this mean what I think it means? Advanced Physics Homework 0
What this means? Classical Physics 2
F=ma, what is m actually means? Introductory Physics Homework 7
Not sure what this means Chemistry 2
Means mean and mean mean means General Discussion 38