A Treatise on Differential Equations, Τόμος 2Macmillan and Company, 1865 |
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Σελίδα x
... , 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 .
... , 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 .
Σελίδα 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 ...
Σελίδα 5
... condition is actually satisfied . Developing the expression for y [ see Eq . ( 30 ) of Chap . 11. ] in ascending powers of x , we have y = A2 + A ̧x + Ax2 Ax + 1.2 1.2.3 3 ° + & c . , ........ ( 32 ) in which A ̧ = Σ ƒn ( X , Y ...
... condition is actually satisfied . Developing the expression for y [ see Eq . ( 30 ) of Chap . 11. ] in ascending powers of x , we have y = A2 + A ̧x + Ax2 Ax + 1.2 1.2.3 3 ° + & c . , ........ ( 32 ) in which A ̧ = Σ ƒn ( X , Y ...
Σελίδα 9
... changes may be made more obvious . These 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.
... changes may be made more obvious . These 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.
Σελίδα 10
... condition accompanying the use that it leads to solutions involving y at least . " It is ob- jected , Why may we pass over this case ? Such a case might occur and furnish a solution , and then we should want to know the character of ...
... condition accompanying the use that it leads to solutions involving y at least . " It is ob- jected , Why may we pass over this case ? Such a case might occur and furnish a solution , and then we should want to know the character of ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
arbitrary constants C₂ Chap Chapter cloth common integral complete primitive condition Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dp dFdF differential coefficients dp dp dx dp dq dp dy dp₁ dq dp du₁ dx dp dx dx dx dz dx₁ dx² dy dp dy dx dy dz dz dy dz dz eliminate equa expression Extra fcap factor Fcap given equation Heir of Redclyffe Hence HENRY KINGSLEY homogeneous function independent variables infinite Jacobi JAMES MCCOSH Last Multiplier linear partial differential m₁ memoir obtain ordinary differential equations P₁ partial differential equation particular integral Professor Boole proposition reduced represent result Second Edition shewn singular solution system of ordinary theorem theory tion transformation u₁ u₂ values vanish whence x₁ Y₁ аф
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