 | George Peacock - 1830 - 732 lehte
...are equally independent. The converse proposition must likewise be true for the following reasons : If there be an equivalent form when the symbols are general in form and in their nature also, it must coincide with the form discovered and proved in the subordinate... | |
 | British Association for the Advancement of Science - 1834 - 562 lehte
...suggestion, when the symbols are general in tJieir form, though specific in their value, will continue to be an equivalent form when the symbols are general in their nature as well a* in their form *. The direct proposition must be true, since the laws of combination of symbols by... | |
 | 1835 - 402 lehte
...subordinate science, when the symbols are general in form though specific in their nature, the same must be an equivalent form when the symbols are general in their nature as well as in their form.' Now, we think that we here discover the traces of the method by which the mind of the author was led... | |
 | 1841 - 280 lehte
...general, in which these terms and factors must appear. Hence therefore the first law does not prove that " If there be an equivalent form when the symbols are general in form and in their nature also, it must coincide with the form discovered in the subordinate science,... | |
 | Philip Kelland - 1843 - 168 lehte
...though specific in their nature, the same " Peacock's Alg. p, 167. f Kelland's Algebra, p. 261, must be an equivalent form when the symbols are general in their nature as well as in their form."* Now, I see easily enough how to make use of this principle in effecting a transition from arithmetical... | |
 | Alfred Clebsch, Carl Neumann, Felix Klein, Adolph Mayer, David Hilbert, Otto Blumenthal, Albert Einstein, Constantin Carathéodory, Erich Hecke, Bartel Leendert Waerden, Heinrich Behnke - 1911 - 622 lehte
...Suggestion, when the Symbols are general in their form, though specific in their value, will continue to be an equivalent form when the Symbols are general in their nature äs well äs in their form." Natürlich müßte man bei dem ersten Satze hinzufügen: vorausgesetzt,... | |
 | Gottfried Gabriel, Wolfgang Kienzler - 1997 - 174 lehte
...Suggestion, when the Symbols are general in their form, though specific in their value, will continue to be an equivalent form when the Symbols are general in their nature äs well äs in their form." 32Hankel, Theorie der complexen Zahlensysteme, S. 15, mit Bezug auf Ohm,... | |
 | William Bragg Ewald - 2005 - 696 lehte
...symbols are general in their form, though specific in their value, will cominue to be an equivalem form when the symbols are general in their nature as well as in their form (Peacock 1833, pp. 198-9). (Roughly speaking, in modern terminology an 'equivalent form' is an equation;... | |
 | James Gasser - 2000 - 374 lehte
...suggestion, when the symbols are general in their form, though specific in their value, will continue to be an equivalent form when the symbols are general in their nature as well as their form. (Peacock 1833, 194) All the difficulty of Peacock's thought is contained in this double... | |
 | Jesper Lützen - 2001 - 306 lehte
...suggestion, when the symbols are general in their form, though specific in their value, will continue to be an equivalent form when the symbols are general in their nature as well as in their form." [Peacock 1830, 104] represent a time-step in the opposite direction to that of a positive number. However,... | |
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Whatever equivalent form is discoverable in arithmetical algebra considered as the science of suggestion, when the symbols are general in their form, though specific in their value, will continue to be an equivalent form when the symbols are general in... 
