Actually trying it here. I tried to screenshot just the text of an old post by
@Mauro that gave me an option to "copy text". So, here is the text :
External Quote:
But then, it's no more the 'standard' addition?
Let me see if I can give you another example of why it makes a lot of sense to consider the modulo operation over the whole Z, and even on the wholeset of reals, R, and not stay fixed on the 'mod-N' subset.
You can calculate and plot y = x (mod 11) over the reals (imagine the x-axis extends to + and minus infinity):
Then I opened a ChatGPT translator and copied the text and asked for an Italian translation:
External Quote:
Pero entonces, ¿ya no es la suma «estándar»?
Déjame ver si puedo darte otro ejemplo de por qué tiene mucho sentido considerar la operación módulo sobre todo Z, e incluso sobre el conjunto completo de los reales, R, y no quedarse fijado en el subconjunto «mod-N».
Puedes calcular y representar y = x (mod 11) sobre los reales (imagina que el eje x se extiende hasta + y menos infinito):
I don't speak Italian, so I have no idea how well the translation worked, but I assume Mauro will.