American Journal of Mathematics
American Journal of Mathematics
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In our eReader you can find the full English version of the book. Read American Journal of Mathematics Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book American Journal of Mathematics
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into a«8 + «-8— » «-» + «-! — » «-! + — , w + 1, ai+|[4, a8+ai/£, Os + Oj^, ... .
respectively, and moreover changes A^ into A +(26— 1)(1 + Je) + ^^-ii^ + «^i— » jIj into^i + (26— 1)^1 + 6(1 +^o)f4 + «^» — » ^.1 into A^i+ (26— 1)^.1 + eA^^ + 6(1 + -4o) — , jlji intojlg +(26 — l)A^ + eA^-\-eA^ — , iL., into ^_g + (26 — 1) ^_, + 6^.3|t£ + 6^«i— , 200 MacMahon : Third Memoir on a New Theory of Symmetric Functions.
131. Hence if any symmetric function be = ^ = '4/, the altered value will be which... by Taylor's theorem is symbolically exp (do + d^fi + d^i — ) 4> , where do =9«» ^-1 = 9a-i + «-l9a-. + «-«9a_, + » and the multiplication of operators is symbolic, and will also be ^\a, +(26-1)(1 +Aoy +eA^^ + eA,-^, ^1 +(2e-l)A +e{l +Ao)n + eA, 1- , which by Taylor's theorem is symbolically exp \e (jfQ + giii + g^i — ^ + {e—l)go\.^, where g^ = (1 + ^) 3^^ + Aidj,^ + A^d^^ + + -4-i9.i.. + ^-«9^. + » gi = (1 + -^o) 9.1, + A9.1. + ^9.1. + + ^-i9.io + -4-»9.i.x + ' g^, = (1 + ^) a^_^+ A,d^^ + j,a^, + .
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To quickly assess the difficulty of the text, read a short excerpt:
.
into a«8 + «-8— » «-» + «-! — » «-! + — , w + 1, ai+|[4, a8+ai/£, Os + Oj^, ... .
respectively, and moreover changes A^ into A +(26— 1)(1 + Je) + ^^-ii^ + «^i— » jIj into^i + (26— 1)^1 + 6(1 +^o)f4 + «^» — » ^.1 into A^i+ (26— 1)^.1 + eA^^ + 6(1 + -4o) — , jlji intojlg +(26 — l)A^ + eA^-\-eA^ — , iL., into ^_g + (26 — 1) ^_, + 6^.3|t£ + 6^«i— , 200 MacMahon : Third Memoir on a New Theory of Symmetric Functions.
131. Hence if any symmetric function be = ^ = '4/, the altered value will be which... by Taylor's theorem is symbolically exp (do + d^fi + d^i — ) 4> , where do =9«» ^-1 = 9a-i + «-l9a-. + «-«9a_, + » and the multiplication of operators is symbolic, and will also be ^\a, +(26-1)(1 +Aoy +eA^^ + eA,-^, ^1 +(2e-l)A +e{l +Ao)n + eA, 1- , which by Taylor's theorem is symbolically exp \e (jfQ + giii + g^i — ^ + {e—l)go\.^, where g^ = (1 + ^) 3^^ + Aidj,^ + A^d^^ + + -4-i9.i.. + ^-«9^. + » gi = (1 + -^o) 9.1, + A9.1. + ^9.1. + + ^-i9.io + -4-»9.i.x + ' g^, = (1 + ^) a^_^+ A,d^^ + j,a^, + .
What to read after American Journal of Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by Johns Hopkins University to read onlineMoreLess
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