
botcherche samikaran

lujan botcherchya navavarun naav dilele botcherche samikaran heey karyatmak samikaran aahe. 
kuthe? 
yaa karyatmak samikaranacha laghuganak haah shroderchya samikaranala samaan aahe.
upay.
karyatmak samikaranache samadhan heey antarnihit swarupat asalele karya aahe. 
lutian emil botcher yanni 1904 madhye dravanachya astitvavar eka purava rekhatalah nishchit bindu 'aaa' chya shejari eka vishleshanatmak karya 'eff', mhanjeh 
yaa upayala kadhikadhi asey mhanatatah
sampoorn purava joseph ritney 1920 madhye prakashit keela hota, jyala mool sutrachi mahitee navhati.
botchercha nirdeshank (schroeder karyacha laghuganak) nishchit binduchya shejari karyas sanyugmit hoto. eka vishesh mahattvache prakaran mhanje jevha degreechi bahupadi asate aanee = φ.
spasht.
yasathi ekhadi vyakti spashtapane botcher nirdeshank moju shakateh 
udaharane.
karyasathi h aanee n = 2
botcher function f aaheh 
anuprayog.
botcherche samikaran holomorphic dynamixchya bhagat moolbhut bhoomika bajavate, jeey eka jatil chalanchya bahupadanchya punaravrutticha abhyas karate. 
botcher samanvayanchya jaagtik gunadharmancha abhyas fato yanni keela
 aanee duadi aanee hubbard.