A Treatise on the Calculus of Finite DifferencesMacmillan, 1860 - 248 sider |
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... Theory of these Equations , 125. Solutions derived from the Variation of a Constant , 128. Law of Reciprocity , 132. Principle of Continuity , 137. Exercises , 150 . CHAPTER IX . LINEAR EQUATIONS WITH VARIABLE COEFFICIENTS . 151 ...
... Theory of these Equations , 125. Solutions derived from the Variation of a Constant , 128. Law of Reciprocity , 132. Principle of Continuity , 137. Exercises , 150 . CHAPTER IX . LINEAR EQUATIONS WITH VARIABLE COEFFICIENTS . 151 ...
Side 3
... theory of the operation denoted by A and defined by the equation - convenience suggests consider the more Aux = Ux + 1 = Ux • But we shall where general operation Aux = Ax Ux + h h - Ux 2 where Ax = h . CHAPTER II . DIRECT THEOREMS OF ...
... theory of the operation denoted by A and defined by the equation - convenience suggests consider the more Aux = Ux + 1 = Ux • But we shall where general operation Aux = Ax Ux + h h - Ux 2 where Ax = h . CHAPTER II . DIRECT THEOREMS OF ...
Side 19
... ( 5 ) . The systems of numbers expressed by A " 0 " are of frequent occurrence in the theory of series . Professor De Morgan has A10 given the following table of their values up to 2-2 ART . 10. ] DIRECT THEOREMS OF FINITE DIFFERENCES . 19.
... ( 5 ) . The systems of numbers expressed by A " 0 " are of frequent occurrence in the theory of series . Professor De Morgan has A10 given the following table of their values up to 2-2 ART . 10. ] DIRECT THEOREMS OF FINITE DIFFERENCES . 19.
Side 47
... theory of linear differential equations , the complete value of y will be obtained by adding to any par- ticular value v the complete value of what y would be , were u , equal to 0. Hence ..... Σux = vx + C1 € TM 1 * + С2 € TM 2 * + & c ...
... theory of linear differential equations , the complete value of y will be obtained by adding to any par- ticular value v the complete value of what y would be , were u , equal to 0. Hence ..... Σux = vx + C1 € TM 1 * + С2 € TM 2 * + & c ...
Side 65
... theory , to consider first . PROP . I. A series whose terms diminish in absolute value , and are , or end with becoming , alternately positive and negative , is convergent . Let u1 - u , u , u , + & c . be the proposed series or its ...
... theory , to consider first . PROP . I. A series whose terms diminish in absolute value , and are , or end with becoming , alternately positive and negative , is convergent . Let u1 - u , u , u , + & c . be the proposed series or its ...
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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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