A Treatise on Differential EquationsMacmillan, 1865 - 496 páginas |
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Página x
... Magazine , Vol . 7 , p . 465 , on the Theory of Chances developed in Professor Boole's Laws of Thought . ' Vol . 8 , 1854 , pages 87 ... 91 . On the Conditions by which the Solutions of Questions in X LIST OF PROFESSOR BOOLE'S WRITINGS .
... Magazine , Vol . 7 , p . 465 , on the Theory of Chances developed in Professor Boole's Laws of Thought . ' Vol . 8 , 1854 , pages 87 ... 91 . On the Conditions by which the Solutions of Questions in X LIST OF PROFESSOR BOOLE'S WRITINGS .
Página xi
George Boole. On the Conditions by which the Solutions of Questions in the Theory of Probabilities are limited . Same Vol . , pages 91 ... 98 . Further Observations relating to the Theory of Probabilities in reply to Mr Wilbraham . Same ...
George Boole. On the Conditions by which the Solutions of Questions in the Theory of Probabilities are limited . Same Vol . , pages 91 ... 98 . Further Observations relating to the Theory of Probabilities in reply to Mr Wilbraham . Same ...
Página 5
... condition is actually satisfied . Developing the expression for y [ see Eq . ( 30 ) of Chap . 11. ] in ascending powers of x , we have + 1.2 1.2.3 y = A ̧ + A ̧x + A , x2 A_r in which A ̧ = Σ ƒn ( X , Y ̧ ) ( — x ̧ ) * → 1.2 ... ( nr ) ...
... condition is actually satisfied . Developing the expression for y [ see Eq . ( 30 ) of Chap . 11. ] in ascending powers of x , we have + 1.2 1.2.3 y = A ̧ + A ̧x + A , x2 A_r in which A ̧ = Σ ƒn ( X , Y ̧ ) ( — x ̧ ) * → 1.2 ... ( nr ) ...
Página 6
... conditions of convergency , i.e. under the con- dition that the ratio of the nth to the ( n - 1 ) th term tends to a limit less than unity as n tends to infinity . For a discus- sion of the failing cases of this test see Finite ...
... conditions of convergency , i.e. under the con- dition that the ratio of the nth to the ( n - 1 ) th term tends to a limit less than unity as n tends to infinity . For a discus- sion of the failing cases of this test see Finite ...
Página 9
... remarks will occupy the next Article . 3. The two pages beginning with " And these conditions are sufficient , " and ending with " do not lead to conflicting results , " forming part of Arts . 3 and ( 9 ) ADDITIONS TO CHAPTER.
... remarks will occupy the next Article . 3. The two pages beginning with " And these conditions are sufficient , " and ending with " do not lead to conflicting results , " forming part of Arts . 3 and ( 9 ) ADDITIONS TO CHAPTER.
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Términos y frases comunes
arbitrary constants Cambridge Chap Chapter College complete primitive condition Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dF dF dp dF dx dFdF differential coefficients dp dF dp dp dx dp dq dp dy dp₁ dq dp dv dv dx dp dp dx dx dx dy dy dx dz dx₁ dx² dy dp dy dx dy dz dz dy dz dz Edition eliminate equa Eton College expression Extra fcap factor function given equation Hence J. P. MAHAFFY Jacobi Last Multiplier linear partial differential m₁ memoir ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole reduced represent result revised School shewn singular solution system of ordinary theorem theory tion transformation u₁ u₂ values vanish whence X₁ Y₁ аф
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