b"\n_START_ARTICLE_\nTeilora rinda\n_START_PARAGRAPH_\nTeilora rinda matem\xc4\x81tik\xc4\x81 ir funkcijai, kam punkt\xc4\x81 a eksist\xc4\x93 visu k\xc4\x81rtu atvasin\xc4\x81jumi, piek\xc4\x81rtota rinda, kuras parci\xc4\x81lsummas ir polinomi. \xc5\xa0o rindu 1715. gad\xc4\x81 public\xc4\x93jis ang\xc4\xbcu matem\xc4\x81ti\xc4\xb7is Bruks Teilors (Brook Taylor)._NEWLINE_Teilora rindu pieraksta \xc5\xa1\xc4\x81di:_NEWLINE_ \\sum_{n=0} ^ {\\infty} \\frac {f^{(n)}(a)}{n!} \\, (x-a)^{n} = f(a)+\\frac {f'(a)}{1!} (x-a)+ \\frac{f''(a)}{2!} (x-a)^2+\\frac{f^{(3)}(a)}{3!}(x-a)^3+ \\cdots,_NEWLINE_kur n! ir n faktori\xc4\x81ls un \xc6\x92(a) ir funkcijas \xc6\x92 n-t\xc4\x81s k\xc4\x81rtas atvasin\xc4\x81jums punkt\xc4\x81 a._NEWLINE_Gad\xc4\xabjum\xc4\x81, ja a = 0, tad \xc5\xa1o rindu sauc par Maklorena rindu (nosaukta skotu matem\xc4\x81ti\xc4\xb7a Kolina Maklorena (Colin Maclaurin) v\xc4\x81rd\xc4\x81)."