Examples of the Processes of the Differential and Integral CalculusJ. and J.J. Deighton, 1846 - 529 стор. |
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Результати 1-5 із 49
Сторінка iv
... Leib- nitz in preference to that which has been of late re- vived and partially adopted in this University . Of the Differential notation I need say nothing here , as it appears to be abandoned as an exclusive system by iv PREFACE .
... Leib- nitz in preference to that which has been of late re- vived and partially adopted in this University . Of the Differential notation I need say nothing here , as it appears to be abandoned as an exclusive system by iv PREFACE .
Сторінка v
D. F. Gregory. it appears to be abandoned as an exclusive system by those who introduced it : but as the use of the ... appear to me to be inconvenient . In the next place , I fully agree with Professor De Morgan in an unwillingness to ...
D. F. Gregory. it appears to be abandoned as an exclusive system by those who introduced it : but as the use of the ... appear to me to be inconvenient . In the next place , I fully agree with Professor De Morgan in an unwillingness to ...
Сторінка 9
... appears to be the quarter from which we may look for great additions to our knowledge of analysis . I shall however in this chapter confine myself to examples of differentiation with integer indices , partly because there are still some ...
... appears to be the quarter from which we may look for great additions to our knowledge of analysis . I shall however in this chapter confine myself to examples of differentiation with integer indices , partly because there are still some ...
Сторінка 13
... appears that d ( 2/4 ) d € 47 x7 = a " - " x2 - r da ( ~ 2 / 2 ) * ( 15 ) uv = x " log x , d ' ( uv ) da · = n ( n − 1 ) ... ( n − r + 1 ) x2 - r { log x + r . - r ( r1 ) - 1.2 r ( r− 1 ) ( r− 2 ) - 1 ( n − r + 1 ) ( n ...
... appears that d ( 2/4 ) d € 47 x7 = a " - " x2 - r da ( ~ 2 / 2 ) * ( 15 ) uv = x " log x , d ' ( uv ) da · = n ( n − 1 ) ... ( n − r + 1 ) x2 - r { log x + r . - r ( r1 ) - 1.2 r ( r− 1 ) ( r− 2 ) - 1 ( n − r + 1 ) ( n ...
Сторінка 14
... appears that + a X. d d + a X = € dr ( ( ell X ) . This result , when generalized , is of great importance in the solution of Differential Equations . If the function to be differentiated be ( a + 14 SUCCESSIVE DIFFERENTIATION .
... appears that + a X. d d + a X = € dr ( ( ell X ) . This result , when generalized , is of great importance in the solution of Differential Equations . If the function to be differentiated be ( a + 14 SUCCESSIVE DIFFERENTIATION .
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a² b2 a²x² angle arbitrary constant assume asymptote becomes branches C₁ Cambridge circle co-ordinates condition Crelle's Journal curvature curve cycloid determine differential coefficients differential equation dx dx dx dy dx dx² dy dx dy dy dy dy dz dz dz eliminate ellipse equal Euler factor formula fraction function Geometry gives Hence hypocycloid infinite intersection John Bernoulli Let the equation lines of curvature locus logarithmic logarithmic spiral Multiply negative origin parabola perpendicular radius SECT singular points singular solution spiral Substituting subtangent surface tangent plane theorem triangle University of Cambridge vanish whence x²)³