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Hi all,
can someone help me discern the concepts of Modulus?
Thanx!
can someone help me discern the concepts of Modulus?
Thanx!
Modulus of a number is its +ve value.
|x| = +ve value of x; ex. |-2| =2
Modulus of a complex number x+iy = sqrt(x^2+y^2)
some properties: for any x, y (real or complex numbers)
|x|+|y| >= |x+y|
|x|-|y|<=|x-y|
|x|*|y|=|x*y|
|x|/|y| =|x/y| ( y!=0)
------------------------------
If you are referring to
this below Mod/Modulo:
Digging from my old knowledge, this is what I Know abt Modulo
12 Mod 10 =2
13 Mod 10 =3
12 Mod 7 = 5
13 Mod 7 = 6
14 Mod 7 = 0
15 Mod 7 = 1
4 Mod 7 = 4
7 Mod 7 =0
-----------------------------
hope the examples made it clear
X Mod Y = Z -> Z will always be from 0 to Y-1
It usually applies to +ve integers/numbers
You can understand this comparing with a regular CLock which is Mod 12:
what is 13:00 hrs in a regular clock ? it is 1:00
But in some clocks like Railway clock, it can be for Mod 24 instead of Mod 12... and it is 13:00 hrs.
In Boolean arithmetic/system, you have only 0 or 1 values
You could say this system is Mod 2
Our year system is Mod 365 ( except a leap year)
If you post some question on these , may be we can test these concepts and check if what I wrote makes sense for those Q.s
|x| = +ve value of x; ex. |-2| =2
Modulus of a complex number x+iy = sqrt(x^2+y^2)
some properties: for any x, y (real or complex numbers)
|x|+|y| >= |x+y|
|x|-|y|<=|x-y|
|x|*|y|=|x*y|
|x|/|y| =|x/y| ( y!=0)
------------------------------
If you are referring to
this below Mod/Modulo:
Digging from my old knowledge, this is what I Know abt Modulo
12 Mod 10 =2
13 Mod 10 =3
12 Mod 7 = 5
13 Mod 7 = 6
14 Mod 7 = 0
15 Mod 7 = 1
4 Mod 7 = 4
7 Mod 7 =0
-----------------------------
hope the examples made it clear
X Mod Y = Z -> Z will always be from 0 to Y-1
It usually applies to +ve integers/numbers
You can understand this comparing with a regular CLock which is Mod 12:
what is 13:00 hrs in a regular clock ? it is 1:00
But in some clocks like Railway clock, it can be for Mod 24 instead of Mod 12... and it is 13:00 hrs.
In Boolean arithmetic/system, you have only 0 or 1 values
You could say this system is Mod 2
Our year system is Mod 365 ( except a leap year)
If you post some question on these , may be we can test these concepts and check if what I wrote makes sense for those Q.s
