The Mathematical Writings of Duncan Farquharson Gregory |
From inside the book
Results 1-5 of 55
Page xx
... . Similarly , in the undulatory theory of light , there is much difficulty in determining the conditions which belong to the bounding surfaces of any portion of ether ; and although this difficulty has , in XX BIOGRAPHICAL MEMOIR.
... . Similarly , in the undulatory theory of light , there is much difficulty in determining the conditions which belong to the bounding surfaces of any portion of ether ; and although this difficulty has , in XX BIOGRAPHICAL MEMOIR.
Page 6
... determined . For instance , we cannot tell what is the in- d d terpretation of such expressions as ( + ) da or ( -- ) da , or ( + ) log . ( − ) áz , III . I now proceed to a very general class of operations , subject to the following ...
... determined . For instance , we cannot tell what is the in- d d terpretation of such expressions as ( + ) da or ( -- ) da , or ( + ) log . ( − ) áz , III . I now proceed to a very general class of operations , subject to the following ...
Page 36
... determine u The form of Q + 1 is evidently PP ... P The same method may be sometimes applied to equations of a ... determined . Ux x - 1 and so the It will be seen that the method here laid down of inte- grating equations of differences ...
... determine u The form of Q + 1 is evidently PP ... P The same method may be sometimes applied to equations of a ... determined . Ux x - 1 and so the It will be seen that the method here laid down of inte- grating equations of differences ...
Page 39
... determining the disturb- ance of a particle : d2 a2 И dt2 2,8 h2 A2ux - h , 19 where A affects x only . This may be put under the form d2 a2 A = 0 . dt 1+ h2 1 + A 2,8 Following the same method as before , by splitting the operating ...
... determining the disturb- ance of a particle : d2 a2 И dt2 2,8 h2 A2ux - h , 19 where A affects x only . This may be put under the form d2 a2 A = 0 . dt 1+ h2 1 + A 2,8 Following the same method as before , by splitting the operating ...
Page 41
... determined from the initial circumstances , For if in the last expression , or in the original integral , we make t = 0 , we find Uz , o = f ( x ) , which determines the form of the function f from the initial state of the particles ...
... determined from the initial circumstances , For if in the last expression , or in the original integral , we make t = 0 , we find Uz , o = f ( x ) , which determines the form of the function f from the initial state of the particles ...
Other editions - View all
The Mathematical Writings of Duncan Farquharson Gregory (Classic Reprint) Duncan Farquharson Gregory No preview available - 2019 |
The Mathematical Writings of Duncan Farquharson Gregory William Walton,Robert Leslie Ellis,Duncan Farquharson Gregory No preview available - 2015 |
Common terms and phrases
a₁ applied arbitrary constants arithmetical asymptotes axis becomes binomial theorem C₁ Cambridge Mathematical Journal centre coefficients commutative commutative operations conic section consider cosine cosne curve determine Differential Calculus differential equations dt² dx dx dx dy dx² dy² Edition equal expression factor Finite Differences fraction functional equation geometrical given Hence infinite integral intersection inverse operation John Herschel laws of combination linear logarithms maxima and minima method motion multiplying negative original P₁ parabola pendulum perpendicular plane of xy point of suspension principles quantity represent residue result right angles roots sides singular point solution subtraction suppose surface symbols of operation tangent Taylor's theorem term theory tion triangle u₂ values variables whence