The Spirit of Mathematical Analysis: And Its Relation to a Logical SystemJ.W. Parker, 1843 - 103 páginas |
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Página viii
... equal to 1 for every positive whole number r . It is usually said that this is the case for n = ∞ , and it is there- fore usually asserted that n ช 1 + n - = = e3 for n = ∞ , while no consideration has been perhaps paid to the fact ...
... equal to 1 for every positive whole number r . It is usually said that this is the case for n = ∞ , and it is there- fore usually asserted that n ช 1 + n - = = e3 for n = ∞ , while no consideration has been perhaps paid to the fact ...
Página ix
... equal to zero , and hence these two discrepancies correct one another . Hence although the equa- tion ( 2 ) ( 1 + ) " = = e3 for n = ∞ is not correct as a general ( formal ) equation , it is yet not incorrect for any actual or ...
... equal to zero , and hence these two discrepancies correct one another . Hence although the equa- tion ( 2 ) ( 1 + ) " = = e3 for n = ∞ is not correct as a general ( formal ) equation , it is yet not incorrect for any actual or ...
Página 5
... equal , where they may be either actual or imaginary , -zero is also frequently the passage from actual to imaginary , or even from imaginary to imaginary , so that in this case would appear all at once as an infinite value intervening ...
... equal , where they may be either actual or imaginary , -zero is also frequently the passage from actual to imaginary , or even from imaginary to imaginary , so that in this case would appear all at once as an infinite value intervening ...
Página 8
... equal ; " i . e . we must first know what " equal " means , before we can arrive at the already mentioned view ( which is rather the enuntiation of a single characteristic , than of a definition , ) of an " equation between imaginary ...
... equal ; " i . e . we must first know what " equal " means , before we can arrive at the already mentioned view ( which is rather the enuntiation of a single characteristic , than of a definition , ) of an " equation between imaginary ...
Página 14
... equal to one another , when they may be unconditionally substituted for one another , without our having to fear a contradiction on the part of the laws of operation , " it would still be necessary to possess well defined external ...
... equal to one another , when they may be unconditionally substituted for one another , without our having to fear a contradiction on the part of the laws of operation , " it would still be necessary to possess well defined external ...
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