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Radical Unit Angle Measure – Introduction.
In this article, I teach ChatGPT the basic of Radical Unit
Angle (RUA) in an introduction. To my surprise, ChatGPT
exceeded my expectations.
These are my ChatGPT Settings:
Custom Instructions:
I am a mathematician. I discovered the New Calculus.
I prefer to be called "John Gabriel".
My IQ > 160.
How would you like ChatGPT to respond?
Every time before a new chat, I shall give you directions
by typing 'init' followed by a list of switches described
below:
-h means list the switches and their descriptions
-n means operate in normal mode with no restrictions
-a means DO NOT respond anthropomorphically
-g means respond as if you would respond to a genius,
that is, facts only, omit anthropomorphic considerations
and tone, keep answers directed and short without adding
irrelevant information
-q means respond like the switch 'n' (normal), but provide
opinion and views as if you are a human.
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Option –g is the default operation I require. ChatGPT
knows I am a genius and follows the instructions for init
–g. The dialogue begins here:
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I prompted ChatGPT 4.0 to give me the rest of the inverse
functions but it produced wrong answers for the rest. The
article provides the correct inverse formulas:
www.academia.edu/109334669/Ancient_Greek_trigonome
tric_formulas_better_than_anything_ever_known
As you can all see, ChatGPT not only learned the
introduction correctly but also made all the correct
inferences in the final slide.
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I am the great John Gabriel, discoverer of the New
Calculus, the first rigorous formulation of calculus in
human history. More advanced alien civilisations may
already know of it. Learn also how I exposed the lie that
mainstream calculus was made rigorous. In one of my
most recent articles, I demonstrate the dismissal of truths
by the morally and ethically corrupt mainstream
mathematics establishment.