Set Operations Plugin

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documentation:

Set Operations Plugin.pdf (526,71 KiB) scaricato 1205 volta(e).
Set Operations Plugin.sm (149,79 KiB) scaricato 1950 volta(e).

Plugin updated

• new function set_Exists(2);
  
• new function set_DoesNotExist(2);
  
• new function set_Exists1(2);
  
• new function set_ForAll(2);
  
• set-builder now accepts a defined set as first argument;
  
• minor enhacements;
  
• refactoring;
  
• documentation updated;

EDIT: released again to fix a typo in set_DoesNotContains(2); now it is set_DoesNotContain(2)

Hi Davide. Thanks. It is a genial plugin. This attempt remains for history. Would it be too much to ask to add functions like choose and permute? And an option to return the sets as row vectors or column vectors by default?

A small example on how to calculate probabilities with a dice thanks to the plugin.

basic_die.sm (13,34 KiB) scaricato 1902 volta(e).



Best regards
Alvaro.

Wrote

Hi Davide. Thanks. It is a genial plugin.

You're welcome, I'm very glad this project is useful to the community. It started out for fun, to play around with matrices and SVG features in the API, but it quickly developed into something more coherent and articulated.

Wrote

This attempt remains for history.

Totally forgot about this gem.

Wrote

Would it be too much to ask to add functions like choose and permute?

I think is feasible, set_PowerSet() already has a n choose k algorithm, it just need to be adapted.

Wrote

And an option to return the sets as row vectors or column vectors by default?

This is something already partially implemented, I need to finalize it.

Wrote

A small example on how to calculate probabilities with a dice thanks to the plugin.

Very nice.

I can say your example file for set plugin works with mono.

Wrote

I can say your example file for set plugin works with mono.

Thank you!

Small Utilities for doing some combinatorial analysis with the plugin.

COMB.sm (101,07 KiB) scaricato 1891 volta(e).

COMB.pdf (314,91 KiB) scaricato 1100 volta(e).

Best regards.
Alvaro.

Thanks to this plugin it looks that SMath is ready to be used in a finite mathematics course.

Combinatorial utilities - Applications.sm (68,62 KiB) scaricato 1906 volta(e).
Combinatorial utilities - Applications.pdf (126,09 KiB) scaricato 1118 volta(e).

And meanwhile I wait for my Personal Quantum Computer...



Prime factorization.sm (18,55 KiB) scaricato 1881 volta(e).

Best regards.
Alvaro.

Plugin updated

• new function set_Unique(1);
  
• new function set_Permute(1);
  
• new functions set_Choose(1) and set_Choose(2);
  
• new variable set_Settings_Orientation (*);
  
• set_Universe is now a valid source in set-builders and quantifiers;
  
• minor fixes;
  
• refactoring;
  
• documentation updated;

(*) default orientation is now horizontal; orientation can be changed within the document, does not affects other worksheets and program instances.

Plugin updated

• new function set_Sort(1);
  
• new function set_Shuffle(1);
  
• refactoring;
  
• documentation updated;

Hi. Updated with the new set_Choice(2), set_Permute(1), set_Sort and set_Unique, but remains set_Permute(2) and Variations as SMath code.

COMB V2.sm (130,5 KiB) scaricato 1861 volta(e).

Best regards.
Alvaro.

Plugin updated

• new function set_Permute(2);
  
• refactoring;
  
• documentation updated.

Plugin updated
Release candidate

• added set_Shuffle(2) (Deterministic shuffle);
  
• added set_W (Whole Numbers);
  
• added set_P (Prime Numbers);
  
• added set_J (Irrational Numbers);
  
• minor changes (descriptions, error handling, toolbox glyphs);
  
• refactoring;
  
• documentation updated.