The Spirit of Mathematical Analysis: And Its Relation to a Logical SystemJ.W. Parker, 1843 - 103 páginas |
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Página 7
... exists , and is therefore expressible by a whole or broken number x , then this number x has , by the conditions of the pro ... exist , so that the required numeric value of a has not only to satisfy the equation , but also these other ...
... exists , and is therefore expressible by a whole or broken number x , then this number x has , by the conditions of the pro ... exist , so that the required numeric value of a has not only to satisfy the equation , but also these other ...
Página 26
... exist a difference of whole num- bers which , when multiplied by the divisor b , produces the dividend a ; and ( 2 ) That in the particular case when a and b are equal to zero , there are an infinite number of differences of whole num ...
... exist a difference of whole num- bers which , when multiplied by the divisor b , produces the dividend a ; and ( 2 ) That in the particular case when a and b are equal to zero , there are an infinite number of differences of whole num ...
Página 27
... exist , its two coordinates will , when substituted for x and y , render the two equa- tions ( 1 ) y = ax + b , and ... exists , i . e . that the two straight lines are parallel to one another . a + bx + cx2 + ... a ' + bx + c'x2 + ... a ...
... exist , its two coordinates will , when substituted for x and y , render the two equa- tions ( 1 ) y = ax + b , and ... exists , i . e . that the two straight lines are parallel to one another . a + bx + cx2 + ... a ' + bx + c'x2 + ... a ...
Página 44
... characteristics by which we can ascertain whether some equal values exist for the unknown expressions , or whether all the values are unequal . SECTION 41 . We are now able to introduce the 44 [ CH . IV . ELEMENTARY ALGEBRA .
... characteristics by which we can ascertain whether some equal values exist for the unknown expressions , or whether all the values are unequal . SECTION 41 . We are now able to introduce the 44 [ CH . IV . ELEMENTARY ALGEBRA .
Página 45
... exist , represented by x , which have the property denoted by " / a , we find that we must have xma or x " — α = = 0 . a But since this is a higher equation of the mth degree it gives m different values , neither more nor less , for x ...
... exist , represented by x , which have the property denoted by " / a , we find that we must have xma or x " — α = = 0 . a But since this is a higher equation of the mth degree it gives m different values , neither more nor less , for x ...
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