Dedekind–Hasse norm
The Dedekind-Hasse norm is a way of measuring how big a number is compared to other similar numbers. It works by looking at all the different ways a number can be divided up into smaller numbers, and then combining those smaller numbers in a certain way to get a score for the original number.
Let's imagine we have a number, say 6, and we want to find its Dedekind-Hasse norm. We can divide it up into smaller numbers like 2 and 3. Then, we multiply those numbers together and add them up: 2 x 3 + 3 x 2 = 12.
Now, we can do this for all the different ways to divide up 6. For example, we could also split it into 1 and 5, or 1 and 2 and 3. Each time, we multiply the smaller numbers together and add them up, just like before.
Once we've done this for all the different ways to divide up 6, we take the smallest number we got as our final answer. In this case, the smallest number we got was 12, so that is the Dedekind-Hasse norm of 6.
Overall, the Dedekind-Hasse norm is a way of measuring how "spread out" a number is in terms of its factors. If a number can be divided up in lots of different ways, its Dedekind-Hasse norm will be smaller, indicating that it is less "concentrated" than a number that can only be divided up in a few ways.
Let's imagine we have a number, say 6, and we want to find its Dedekind-Hasse norm. We can divide it up into smaller numbers like 2 and 3. Then, we multiply those numbers together and add them up: 2 x 3 + 3 x 2 = 12.
Now, we can do this for all the different ways to divide up 6. For example, we could also split it into 1 and 5, or 1 and 2 and 3. Each time, we multiply the smaller numbers together and add them up, just like before.
Once we've done this for all the different ways to divide up 6, we take the smallest number we got as our final answer. In this case, the smallest number we got was 12, so that is the Dedekind-Hasse norm of 6.
Overall, the Dedekind-Hasse norm is a way of measuring how "spread out" a number is in terms of its factors. If a number can be divided up in lots of different ways, its Dedekind-Hasse norm will be smaller, indicating that it is less "concentrated" than a number that can only be divided up in a few ways.