| American Association for the Advancement of Science - 1892
...has been perfected by the full use of the complex unit a-\-bi, forming thus, in the words of Cayley, **a "Universe complete in itself, such that starting in it we are never led out of it."** We have in fact a double algebra as the instrument for the complete treatment of all higher analysis,... | |
| American Association for the Advancement of Science - 1892
...has been perfected by the full use of the complex unit a-\-bi, forming thus, in the words of Cayley, **a "Universe complete in itself, such that starting in it we are never led out of it."** We have in fact a double algebra as the instrument for the complete treatment of all higher analysis,... | |
| American Association for the Advancement of Science - 1892
...has been perfected by the full use of the complex unit a-\-bi, forming thus, in the words of Cayley, **a "Universe complete in itself, such that starting in it we are never led out of it."** We have in fact a double algebra as the instrument for the complete treatment of all higher analysis,... | |
| Arthur Cayley - 1896 - 664 lapas
...numbers (in the foregoing sense, number = quantity of the form a + /3t) form (what real numbers do not) **a universe complete in itself, such that starting in it we are never led out of it.** There may very well be, and perhaps are, numbers in a more general sense of the term (quaternions are... | |
| Arthur Cayley - 1896
...numbers (in the foregoing sense, number = quantity of the form a + /3i) form (what real numbers do not) **a universe complete in itself, such that starting in it we are never led out of it.** There may very well be, and perhaps are, numbers in a more general sense of the term (quaternions are... | |
| Sir Thomas Percy Nunn, Thomas Percy Nunn - 1914 - 616 lapas
...end of § 1) that complex numbers must be regarded as the typical numbers of algebra because they " **form a universe complete in itself, such that, starting in it, we are never led out of it** ". In Ex. XCVI we begin a series of investigations which illustrate this important statement. The statement... | |
| Sir Thomas Percy Nunn - 1919 - 616 lapas
...end of § 1) that complex numbers must be regarded as the typical numbers of algebra because they " **form a universe complete in itself, such that, starting in it, we are never led out of it** ". In^ Ex. XCVI we begin a series of investigations which .illustrate this important statement. The... | |
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