^{2}+n

^{2}is always greater than the other two?

- Sun Apr 29, 2012 4:08 am
- Forum: Number
- Topic: Question regarding pythagorean triplets
- Replies:
**3** - Views:
**2962**

It also true that m^{2}+n^{2} is always greater than the other two?

- Sat Apr 28, 2012 6:04 pm
- Forum: Number
- Topic: Question regarding pythagorean triplets
- Replies:
**3** - Views:
**2962**

Pythagorean triplets have a property that they can be expressed in the form of m^{2}-n^{2}, 2mn, m^{2}+n^{2} (where m>n). I have the following questions -

Does 2mn>m^{2}-n^{2} always hold?

Do m,n belong to natural numbers?

Thanks in advance.

Does 2mn>m

Do m,n belong to natural numbers?

Thanks in advance.

- Fri Apr 27, 2012 5:12 am
- Forum: Discrete Mathematics
- Topic: Finding permutations of any 3-digit number
- Replies:
**4** - Views:
**6843**

Yeah! That's what I was exactly going to suggest before I saw your post. And now I've solved my problem. Did the following - seq[3]={ones_digit,tens_digit,hundreds_digit} for (int i=0;i<=2;i++) Output seq[i], seq[(i+1)%3], seq[(i+2)%3] Output seq[i], swap(seq[(i+1)%3],seq[(i+2)%3]) //Where 'swap' wi...

- Thu Apr 26, 2012 7:14 am
- Forum: Discrete Mathematics
- Topic: Finding permutations of any 3-digit number
- Replies:
**4** - Views:
**6843**

[quote="jaap"]You'll need to use some data structure like an array or a list (or even a string) so that you can access those digits individually by index number, rather than by specific variable names for each digit. That way the digits will be something like digit[1], digit[2], and digit[3] (or di...

- Thu Apr 26, 2012 6:32 am
- Forum: Discrete Mathematics
- Topic: Finding permutations of any 3-digit number
- Replies:
**4** - Views:
**6843**

Now I was working on this problem in school where I had to list out all possible permutations of a given three digit number. Here's my code - Output "Enter a three-digit number: " Input no hundreds_digit=no/100, ones_digit=no%10, tens_digit=no/10-10*hundreds_digit Now I've got the one's, ten's and t...