falamos disto neste fórum recentemente.

eis uma calculadora que pode ajudar nas contas!
jm


---------- Forwarded message ----------
From: "Alexander, Samuel" <[email protected]>


I am very happy to announce the official opening of the Patterns of
Resemblance Ordinal Calculator.

http://www.xamuel.com/patterns/

The POR Ordinal Calculator does arithmetic on ordinals below the
ordinal of Pi^1_1-CA_0, notated using first-order additive Patterns of
Resemblance, a beautiful combinatorial notation system discovered by
Timothy J. Carlson.

Currently implemented operations are addition, comparison,
multiplication, and base-omega exponentiation and logarithm.  Future
operations (epsilon, Veblen, etc.) are planned.

The calculator requires no download or installation.  It works on any
computer with an internet connection and a modern browser (including
smartphones and tablets).  Notations generated by the calculator come
with unique, permanent, public IDs which can be used to easily share
patterns with other researchers or simply return to your own
calculations at a later time.

A few samples:
The ordinal epsilon_0: http://www.xamuel.com/patterns/du/
The ordinal Gamma_0: http://www.xamuel.com/patterns/dy/
The Howard-Bachmann ordinal: http://www.xamuel.com/patterns/jz/
Suppose you want to calculate the product Gamma_0 * epsilon_0.  Simply
enter the command: mult dy du

The calculator has an interactive tutorial which can be started by
entering the command, "tutorial".

I hope you will find the calculator fun and useful.

-Samuel Alexander
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