[isabelle-dev] complex argument function(s)
Dr A. Koutsoukou-Argyraki
ak2110 at cam.ac.uk
Thu Jul 1 16:34:25 CEST 2021
I was only commenting on the most common naming convention within the
maths literature regarding arg VS Arg.
On 2021-07-01 15:07, Manuel Eberl wrote:
> Well, that does not make much sense in Isabelle/HOL. HOL doesn't have
> multivalued functions.
> We can only emulate such things with e.g. relations, which is what
> is_Arg does.
> On 01/07/2021 16:05, Dr A. Koutsoukou-Argyraki wrote:
>> yes, arg z is multi-valued,
>> and N measures how many rotations around the axis you do, while Arg z
>> just the principal value.
>> And I should have written N \in \int (not N \in \nat) in my previous
>> On 2021-07-01 09:37, Manuel Eberl wrote:
>>> On 01/07/2021 03:09, Dr A. Koutsoukou-Argyraki wrote:
>>>> Usually in the literature it's -\pi < Arg z \leq \pi
>>>> while arg z = Arg z + 2 \pi N, where N \in \nat
>>> I don't understand what the second one means. Is this a multi-valued
>>> function or what does the "N" mean here?
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