| Author |
Message
|
| parag1973 |
 Posted: Sat May 10, 2008 6:59 am Post subject: division |
 |
|
Forum Freshman
Joined: 24 Feb 2008
Posts: 16
|
what is division?
1 7
2 6
3 5
4 4
what is the concept of division? |
|
| Back to top |
|
 |
| thyristor |
| Posted: Sat May 10, 2008 11:51 am Post subject: |
|
|
Forum Freshman
Joined: 11 Feb 2008
Posts: 66
Location: Sweden
|
Division can be seen as repeatedly subtraction of the denominator from the numerator. The result of the operation is how many times you can subtract the denominator from the numerator.
_________________
373 13213-mbm-13213 373 |
|
| Back to top |
|
|
| river_rat |
| Posted: Sun May 11, 2008 9:37 am Post subject: |
|
|
Forum Ph.D.
Joined: 01 Jun 2006
Posts: 1002
Location: South Africa
|
thyristor, that doesn't help explain (pi+1)/e easily. In general, a/b is defined to be the element x (if it exists) from what ever collection you are working in (groups, rings, graded algebra's etc) such that a = x * b
So 21/7 = 3 since 21 = 3*7 
_________________
As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong. |
|
| Back to top |
|
|
| thyristor |
| Posted: Sun May 11, 2008 1:01 pm Post subject: |
|
|
Forum Freshman
Joined: 11 Feb 2008
Posts: 66
Location: Sweden
|
Sorry, I din't get what he meant by the sequence of numbers.
_________________
373 13213-mbm-13213 373 |
|
| Back to top |
|
|
| river_rat |
| Posted: Sun May 11, 2008 10:29 pm Post subject: |
|
|
Forum Ph.D.
Joined: 01 Jun 2006
Posts: 1002
Location: South Africa
|
No idea either...
_________________
As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong. |
|
| Back to top |
|
|
| JaneBennet |
| Posted: Mon May 12, 2008 4:32 am Post subject: |
|
|
Forum Junior
Joined: 06 Apr 2008
Posts: 257
Location: UK
|
| river_rat wrote: |
thyristor, that doesn't help explain (pi+1)/e easily. In general, a/b is defined to be the element x (if it exists) from what ever collection you are working in (groups, rings, graded algebras etc) such that a = x * b
So 21/7 = 3 since 21 = 3*7 |
If it exists, it has to be unique as well – otherwise it’s not defined. 0/0 (in a field) is not defined because it’s not unique: 0 = 0·0 = 1·0.
_________________
“A problem worthy of attack
Proves its worth by fighting back.” – Piet Hein
Why can’t a bull see red – literally can’t? Did You Know? |
|
| Back to top |
|
|
| river_rat |
| Posted: Mon May 12, 2008 10:43 pm Post subject: |
|
|
Forum Ph.D.
Joined: 01 Jun 2006
Posts: 1002
Location: South Africa
|
right and left divisors need not be unique though JaneBennet - you need a cancellation property usually for that to work if i recall.
_________________
As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong. |
|
| Back to top |
|
|
| JaneBennet |
| Posted: Tue May 13, 2008 5:02 am Post subject: |
|
|
Forum Junior
Joined: 06 Apr 2008
Posts: 257
Location: UK
|
And the cancellation property fails for 0 in a field because 0 does not have a multiplicative inverse in a field.
What I’m trying to say is
| Quote: |
| a/b is defined to be the element x (if it exists) from what ever collection you are working in (groups, rings, graded algebras etc) such that a = x * b |
if b = 0, you cannot define a/b uniquely this way for the purpose of division. It would mean division by 0.
_________________
“A problem worthy of attack
Proves its worth by fighting back.” – Piet Hein
Why can’t a bull see red – literally can’t? Did You Know? |
|
| Back to top |
|
|
| river_rat |
| Posted: Tue May 13, 2008 10:41 pm Post subject: |
|
|
Forum Ph.D.
Joined: 01 Jun 2006
Posts: 1002
Location: South Africa
|
I was heading more towards semigroups without cancellation where the zero problem explodes
_________________
As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong. |
|
| Back to top |
|
|
|
|
