I can't open your worksheet according to windows can you please upload in .mw format

@vv  sure ok that's fine i guess my current understanding of the computer science terminology that was used here is really the issue.

@vv  ok so why do they give us the option if the symbol address in the memory is altered for every session? I mean what possible value can it serve other than writing an algorithm that maps the memory address values for the complete set of objects available, which could then possibly be used for some other purpose within the current session, but other than that I dont see why it would be helpful at all.

@Adri van der Meer  ok in my case the list elements are sets of strings, i am not familair with this command and not sure what purpose the x->x in M argument serves, ie i dont understand why that is necessary instead of just remove(M,L)

Hello can you please rephrase your question and provide a wikipedia link to what it is you are referring to as the norm here, then I might be able to help, i can see that the error returns something about a matrix but it is impossible for anyone to assist when you have deleted the input you wrote that generated the error in your output

@acer  well the "circle" of people of math people that i usually seek advice from and or have friendship with all complain about me writing everything i do in maple and taking screenshots of things to show them, and then when i offer to give them the maple worksheets they say no write it in mathematica, then when i say ok i will export it as a pdf they say no you need to start writing everything in latex. 

And because i am a creature of habit, i never get around to learning the things that dont interest me, and it feels pretty redundant familairizing with mathematica after having used maple since approx 2006 when i was introduced to it by the university i went to, so it will take along time for me to come close to how easy things flow for me now.

And seeings maple output can be converted to latex, i figured that process in the event i was ever in a position that i wanted to submit something for publication, would be much easier to implement if i have a structured system of notation for which i use, rather than my usually routine, scroll down the palletes until i see something i like at random. 

So yes in summary yes the tricky part is necessary, but that being said, im not the one that thinks all of this is necessary, i am just made to feel that way because i am a minority in terms of not being a latex and mathematica user amoungst the group, i still believe that its completely irrelevant and should not matter at all, but yes need to be the diplomat sometimes im afraid

@mbras  sure yes i have seen that it can handle polynomials congruent to integer pairs but I guess i gave an example where as it would have been better to leave it open ended to emphasize that i want to set up infix notation as you say for binary operators in general, as well as binary relations, and then from there also generalize to n-ary operators and relations in a similair and consistent fashion. 

It's just that at some point i will have to convert my worksheets to latex otherwise a bunch of people will be annoying with me about it, so consistency in what notation i use throughout i can only assume will make it easier for me to do that as well.

@mbras  sure yes I know about this one, but i am more looking to customize my use of binary operators in a more general sense, I am currently doing my first Abstract Algebra "Course" and in later developments forsee this to be things like polynomial functions rather than only congruence modulo an integer as is the case here.

It really is only for self educational purposes if you are finding it difficult to see why i would bother with it.

@rlopez  ok thats fine so it is indeed related to quadratic reciprocity i will ok from this point on i think.

@rlopez   ok i just found it odd in terms of my expectation for the naming of such things which are usually acronyms, and also assumed it's actual nature must be classified or at least not explained on wikipedia seeings that it is refered to in the help document as producing cryptographically secure output.

 I am very novice to these things actually this is the first worksheet i have studied of a legitimate encryption schematic, but I would have thought secure in an absolute sense of the word is impossible seeings such an assertion would require the user to be aware of the optimal hardware capability on all other systems that schematic would be running, therefore a partial doubt to its security needs to be acknowledged seeings someone could always engineer a cipher or have some kind of new boom doogle attached to their computer that enables them predict how the output is produced.

ok i dont know this is why im not in IT.

@acer 

Sure ok it makes sense that would solve alot of the issues thanks.

@acer  i want to build a little system that generates a folder structure in terms of the folder names being relational in a catagorical manner. For example, my code worked for when the input was "chemical element names" and upon pressing the button a folder with that name was created,a HTTP search and filter procedure using String Tools is carried out, then inside of that folder, folders with the names Hydrogen,Helium,Lithium, and so on were created. 

But i need to be able to get the input of a container to be passed as a string, and so various crazy problems arose in doing so to allow the contents of that container to be used in the "MakeDirectory" function in  FileTools.

Sorry it is telling me that no document is attached when i try to get it from the cloud, and when i enter those commands for installation it says that "package tools is not a module"

I attempted this back in 2017 or 2016 using windows power shell, but threw in the towel i dont know how to thankyou here i think im going to cry haha

@vv oh i get you it is just a logarithmic scaling applied to one axis?