The Spirit of Mathematical Analysis: And Its Relation to a Logical SystemJ.W. Parker, 1843 - 103 páginas |
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Página xiii
... Series proceeding according to whole powers of a ... 44. Identity of the Coefficients when the series are identical .. 49 45. Addition , Subtraction , Multiplication , and Division of two such in- finite series 46. Potentiation and ...
... Series proceeding according to whole powers of a ... 44. Identity of the Coefficients when the series are identical .. 49 45. Addition , Subtraction , Multiplication , and Division of two such in- finite series 46. Potentiation and ...
Página 27
... series proceeding according to whole powers of x , i.e. to find the coefficients Po , P1 , P2 , & c . of the series Po + Pix + P2x2 + ... which is equal to that quotient . We obtain for the determination of Po the equation a = a ' . Po ...
... series proceeding according to whole powers of x , i.e. to find the coefficients Po , P1 , P2 , & c . of the series Po + Pix + P2x2 + ... which is equal to that quotient . We obtain for the determination of Po the equation a = a ' . Po ...
Página 47
... series pro- ceeding according to powers of x , whose coefficients are also infinite series proceeding according to powers of b . This equa- tion holds for any positive number x ; but because this series on the right can be conceived for ...
... series pro- ceeding according to powers of x , whose coefficients are also infinite series proceeding according to powers of b . This equa- tion holds for any positive number x ; but because this series on the right can be conceived for ...
Página 48
... series proceeding according to whole powers of x " is necessarily given . But this infinite series cannot be considered as existing , until the law according to which the coefficients are formed , has been determinately enunciated in ...
... series proceeding according to whole powers of x " is necessarily given . But this infinite series cannot be considered as existing , until the law according to which the coefficients are formed , has been determinately enunciated in ...
Página 49
... series , we shall not always add the words " proceeding according to whole powers of x or z or 4 , & c . " since it must necessarily " proceed according to whole powers , " and the letter of progression does not always need to be ...
... series , we shall not always add the words " proceeding according to whole powers of x or z or 4 , & c . " since it must necessarily " proceed according to whole powers , " and the letter of progression does not always need to be ...
Outras edições - Ver tudo
The Spirit of Mathematical Analysis: And Its Relation to a Logical System Martin Ohm Visualização integral - 1843 |
The Spirit of Mathematical Analysis: And Its Relation to a Logical System Martin Ohm Visualização integral - 1843 |
The Spirit of Mathematical Analysis: And Its Relation to a Logical System Martin Ohm Visualização integral - 1843 |
Palavras e frases frequentes
according to powers according to whole actual numbers actual or imaginary actual values algebraical sum applied binomial series binomial theorem broken number coefficients conceived considered contradiction convergent convergent series correct equation denominate numbers denote determinate value differences of whole divergent series divisor enunciated equa equal expressions equal to zero formulæ Hence idea imaginary number imaginary value inadmissible in calculation indenominate infinite number infinite series infinitely multiple-meaning infinitum Instruction-Book laws of operation letters m+n-p magnitudes MARTIN OHM mathematical analysis multiplied natural logarithm negative number negative whole number numerical series obtain Octavo p+qi particular positive number positive or negative positive whole number quotient represents result root SECTION sense of sect series proceeding according shew signification simplest value single-meaning summand symbol transformed unknown expression value in cyphers values of log whole functions whole or broken whole powers