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的唯一實根（即 餘弦 函式的唯一實 不動點），其值為 0.739085... (OEIS A003957)。 “Dottie” 這個名稱沒有根本的數學意義，因為它指的是一位法國教授，她（無疑像許多其他在她之前和之後的計算器使用者一樣）注意到，每當她在計算器中輸入一個數字並反覆按下餘弦按鈕時，結果總是收斂到這個值。
是 
給出了 幾乎是整數
." Proc. Edinburgh Math. Soc. 9, 80-83, 1890.Miller, T. H. "On the Imaginary Roots of 
." Proc. Edinburgh Math. Soc. 21, 160-162, 1902.Salov, V. "Inevitable Dottie Number. Iterals of Cosine and Sine." 1 Dec 2012.