A Treatise on the Calculus of Finite DifferencesMacmillan, 1860 - 248 sider |
Inni boken
Resultat 1-5 av 82
Side 11
... given in p ( x ) . And the actual values of the former might be determined by expressing both mem- bers of the equation in ascending powers of x , equating coeffi- cients and solving the linear equations which result . Instead of doing ...
... given in p ( x ) . And the actual values of the former might be determined by expressing both mem- bers of the equation in ascending powers of x , equating coeffi- cients and solving the linear equations which result . Instead of doing ...
Side 19
... from supposing u = x . We have △ " x " = ( x + n ) " - n ( x + n − 1 ) TM + m n ( n - 1 ) ( x + n − 2 ) m − & c ... ( 4 ) . 1.2 Now let the notation △ " 0 " be adopted to express what the first member of the above equation becomes ...
... from supposing u = x . We have △ " x " = ( x + n ) " - n ( x + n − 1 ) TM + m n ( n - 1 ) ( x + n − 2 ) m − & c ... ( 4 ) . 1.2 Now let the notation △ " 0 " be adopted to express what the first member of the above equation becomes ...
Side 23
... provided that t be made equal to 0 , after the implied opera- tions are performed . For , developing all the functions , each member of the above equation ... equation ( 15 ) is true , or , adopting the notation above explained , d d φ † ( 0 ) ...
... provided that t be made equal to 0 , after the implied opera- tions are performed . For , developing all the functions , each member of the above equation ... equation ( 15 ) is true , or , adopting the notation above explained , d d φ † ( 0 ) ...
Side 29
... function may , quite irrespectively of its form , be approximately repre ... given . The same assumption as to the form of the unknown function and the ... equation Au = 0 , or to the substitution of a different but equivalent form ...
... function may , quite irrespectively of its form , be approximately repre ... given . The same assumption as to the form of the unknown function and the ... equation Au = 0 , or to the substitution of a different but equivalent form ...
Side 31
... equation from which any one of the quantities ... Ип may be found in terms of the others . Thus , to interpolate a term midway between two others , we have u − 2u1 + u2 = 0 ; .. u1 u + uz = 2 ( 4 ) . Here the middle term is only the ...
... equation from which any one of the quantities ... Ип may be found in terms of the others . Thus , to interpolate a term midway between two others , we have u − 2u1 + u2 = 0 ; .. u1 u + uz = 2 ( 4 ) . Here the middle term is only the ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 2 - FROST.— The First Three Sections of Newton's Principia. With Notes and Problems in illustration of the subject. By PERCIVAL FROST, MA late Fellow of St. John's College, Cambridge, and Mathematical Lecturer of Jesus College. Crown 8vo. cloth, 10s.
Side 6 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Side 2 - Scouring of the White Horse. Or, the Long Vacation Ramble of a London Clerk. By the Author of
Side 5 - The fitness of Holy Scripture for Unfolding the Spiritual Life of Man : Christ the Desire of all Nations ; or, the Unconscious Prophecies of Heathendom.
Side 15 - JW COLENSO, DD Bishop of Natal. The Colony of Natal. A Journal of Visitation. With a Map and Illustrations.
Side 1 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Side 5 - SPECTATOR. 6. Alexandria and Her Schools. Being Four Lectures delivered at the Philosophical Institution, Edinburgh. With a Preface. Crown Svo. cloth, 5*. " A series of brilliant biographical and literary sketches, interspersed with comments of the closest modern, or rather universal application
Side 4 - THRUPP.— Antient Jerusalem : a New Investigation into the History, Topography, and Plan of the City, Environs, and Temple.
Side 5 - Village Sermons. By a NORTHAMPTONSHIRE RECTOR. With a Preface on the Inspiration of Holy Scripture. Crown 8vo. 6s. Vittoria Colonna. — Life and Poems. By MRS. HENRY ROSCOE. Crown 8vo. 9s. Volunteer's Scrap Book. By the Author of "The Cambridge Scrap Book.