A Treatise on the Calculus of Finite DifferencesMacmillan, 1860 - 248 sider |
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Side 2
... unity . There are two reasons for this . First , the Calculus of Finite Differences has for its chief subject of application the terms of series . Now the law of a series , however expressed , has for its ultimate object 2 [ CH . I ...
... unity . There are two reasons for this . First , the Calculus of Finite Differences has for its chief subject of application the terms of series . Now the law of a series , however expressed , has for its ultimate object 2 [ CH . I ...
Side 3
... unity , it is always possible to replace that independent variable by another , x , whose com- mon difference shall be unity . Let ( t ) be the general term of the series , and let Ath ; then assuming thx we have At hAx , whence Ax = 1 ...
... unity , it is always possible to replace that independent variable by another , x , whose com- mon difference shall be unity . Let ( t ) be the general term of the series , and let Ath ; then assuming thx we have At hAx , whence Ax = 1 ...
Side 16
... unity ; -its definition being Dux = Ux + 1 Laws and Relations of the symbols D , A and . ( 1 ) . d dx 1st . The symbol △ is distributive in its operation . Thus △ ( Ux + vx + & c . ) = Aux + Avx .................. . ( 2 ) . For ...
... unity ; -its definition being Dux = Ux + 1 Laws and Relations of the symbols D , A and . ( 1 ) . d dx 1st . The symbol △ is distributive in its operation . Thus △ ( Ux + vx + & c . ) = Aux + Avx .................. . ( 2 ) . For ...
Side 30
... unity . Ex . Given log 3.144969296 , log 3.154983106 , log 3.16 = 4996871 , log 3.175010593 ; required an approximate value of log 3.14159 . Here , omitting the decimal point , we have the following table of numbers and differences : wo ...
... unity . Ex . Given log 3.144969296 , log 3.154983106 , log 3.16 = 4996871 , log 3.175010593 ; required an approximate value of log 3.14159 . Here , omitting the decimal point , we have the following table of numbers and differences : wo ...
Side 31
George Boole. being taken as unity , the value of x which corresponds to 3.14159 will be 159. Hence we have u = 4969296 +159 × 13810+ ( 159 ) ( 1591 ) X - 45 1.2 : - + ( · 159 ) ( · 159 — 1 ) ( ∙ 159 — 2 ) - 1.2.3 Effecting the ...
George Boole. being taken as unity , the value of x which corresponds to 3.14159 will be 159. Hence we have u = 4969296 +159 × 13810+ ( 159 ) ( 1591 ) X - 45 1.2 : - + ( · 159 ) ( · 159 — 1 ) ( ∙ 159 — 2 ) - 1.2.3 Effecting the ...
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A₁ A³u algebraic applying arbitrary constant ascending powers assume ax+b B₁ c₂ Calculus of Finite Cambridge CHARLES KINGSLEY cloth CO.'S PUBLICATIONS complete primitive CONIC SECTIONS convergent Crown 8vo curve deduce denoted determine Differential Calculus differential equation divergent English Notes equation of differences expression Fcap Fellow of St Finite Differences functional equation GEORGE BOOLE given equation Hence independent variable indirect integral John's College limit linear equation M.A. Second Edition MACMILLAN & CO.'S method mixed differences operation ordinates P. G. TAIT particular value periodical function rational and integral reduced result Schools second member Sermons shew singular solution substituting successive values supposed symbol theorem tion TODHUNTER Treatise Trinity College u₁ u₂ unity University of Cambridge Ux+1 Ux+2 v₂ Vx+1 Vx+2 whence Их
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