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math.HO2012★ 3 cited
Inevitable Dottie Number. Iterals of cosine and sine
Valerii Salov
The unique real root of cos(x) = x, recently referred to as the Dottie number, is expressed as an iteral of cosine. Using the derivatives of iterals, it is shown why this number is…
math.DS2012★ 3 cited
Notation for Iteration of Functions, Iteral
Valerii Salov
A new mathematical notation is proposed for the iteration of functions. It facilitates the application of the iteration of functions in mathematical and logical expressions, defini…