Generalized Continued Fraction For Square Roots
The identity
-
(1)
leads via recursion to the generalized continued fraction for any square root:
-
(2)
Read more about this topic: Continued Fraction
Famous quotes containing the words generalized, continued, fraction, square and/or roots:
“One is conscious of no brave and noble earnestness in it, of no generalized passion for intellectual and spiritual adventure, of no organized determination to think things out. What is there is a highly self-conscious and insipid correctness, a bloodless respectability submergence of matter in mannerin brief, what is there is the feeble, uninspiring quality of German painting and English music.”
—H.L. (Henry Lewis)
“The Sound of battle fell upon my ear & heart all day yesterdayeven after dark the cannons insatiate roar continued ...”
—Elizabeth Blair Lee (1818?)
“The visual is sorely undervalued in modern scholarship. Art history has attained only a fraction of the conceptual sophistication of literary criticism.... Drunk with self-love, criticism has hugely overestimated the centrality of language to western culture. It has failed to see the electrifying sign language of images.”
—Camille Paglia (b. 1947)
“Mark you the floore? that square & speckled stone,
Which looks so firm and strong,
Is Patience:”
—George Herbert (15931633)
“If church prelates, past or present, had even an inkling of physiology theyd realise that what they term this inner ugliness creates and nourishes the hearing ear, the seeing eye, the active mind, and energetic body of man and woman, in the same way that dirt and dung at the roots give the plant its delicate leaves and the full-blown rose.”
—Sean OCasey (18841964)