Differential Calculus: With Applications and Numerous Examples; an Elementary TreatiseMacmillan, 1886 - 439 sider |
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Resultat 1-5 av 39
Side vi
... denote partial differentiation , has been adopted . It is hoped that the frequent sets of easy illustrative examples introduced throughout the text will be found useful before attacking the more difficult problems in the copious ...
... denote partial differentiation , has been adopted . It is hoped that the frequent sets of easy illustrative examples introduced throughout the text will be found useful before attacking the more difficult problems in the copious ...
Side 2
... denote constants ; and to retain later letters , such as u , v , w , x , y , z , and the Greek letters § , 7 , § , for variables . 5. Dependent and Independent Variables . AN INDEPENDENT VARIABLE is one which take up any arbitrary value ...
... denote constants ; and to retain later letters , such as u , v , w , x , y , z , and the Greek letters § , 7 , § , for variables . 5. Dependent and Independent Variables . AN INDEPENDENT VARIABLE is one which take up any arbitrary value ...
Side 7
... denote the words " the limit when x = a of . ” Ex . 4. The sum of a G.P. of which the first common ratio r , and n the number of terms , is term is a , a- ― " — 1 If r < 1 , the sum to infinity is a For the differ- 1-7 ence is apn 7 ...
... denote the words " the limit when x = a of . ” Ex . 4. The sum of a G.P. of which the first common ratio r , and n the number of terms , is term is a , a- ― " — 1 If r < 1 , the sum to infinity is a For the differ- 1-7 ence is apn 7 ...
Side 17
... denoted by a cosh 0 , a sinh 0 . 3. Prove ( a ) sinh - 1 = tanh - 1 X √1 + x2 1 + x ( b ) 2 tanh - 1 = log 1 - X INFINITESIMALS . 26. All measurable quantities are estimated by the ratios which they bear to certain fixed but arbitrary ...
... denoted by a cosh 0 , a sinh 0 . 3. Prove ( a ) sinh - 1 = tanh - 1 X √1 + x2 1 + x ( b ) 2 tanh - 1 = log 1 - X INFINITESIMALS . 26. All measurable quantities are estimated by the ratios which they bear to certain fixed but arbitrary ...
Side 20
... denoting an infinitesimal of the order indi- cated by the suffix . Then , dividing by A ,, B C , 1+ + + A1 A1 Ai D2X E2 A , E2 + F3 + ... .. ( ii . ) = 0 , Ai C , B. 1 the limiting ratios 1 and A1 are finite , while D2 E2 A A ' F are ...
... denoting an infinitesimal of the order indi- cated by the suffix . Then , dividing by A ,, B C , 1+ + + A1 A1 Ai D2X E2 A , E2 + F3 + ... .. ( ii . ) = 0 , Ai C , B. 1 the limiting ratios 1 and A1 are finite , while D2 E2 A A ' F are ...
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Differential Calculus with Applications and Numerous Examples: An Elementary ... Joseph Edwards Uten tilgangsbegrensning - 1886 |
Differential Calculus with Applications and Numerous Examples: An Elementary ... Joseph Edwards Uten tilgangsbegrensning - 1886 |
Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards Ingen forhåndsvisning tilgjengelig - 2006 |
Vanlige uttrykk og setninger
ALGEBRA angle Assistant-Master asymptote axis Cambridge cardioide centre chord circle co-ordinates coincident points conic Crown 8vo cusp cuts the curve cycloid denote differential coefficient dx dx dx dy dy dx ELEMENTARY ellipse envelope EXAMPLES Extra fcap fcap Fellow of Trinity Find function Globe 8vo Hence independent variable infinite intersection intrinsic equation inverse John's College late Fellow limit LL.D locus MACMILLAN'S EDUCATIONAL CATALOGUE maxima and minima minimum value negative normal ordinate origin Owens College p(x+h parabola parallel pedal equation perpendicular point of contact point of inflexion polar positive pedal PRIMER Professor prove quantity radius of curvature revised School Show straight line tangent Taylor's Theorem Trace the curve Trinity College ultimately coincident vanish whence zero ди ди ду дх
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