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" We have in fact a double algebra as the instrument for the complete treatment of all higher analysis, except that in which one of higher multiplicity is used. The field of Quantics has been brilliantly cultivated by Cayley, Sylvester and others. "
The Teaching of Algebra (including Trigonometry) - 474. lappuse
autors: Sir Thomas Percy Nunn - 1914 - 616 lapas
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Proceedings of the American Association for the Advancement of Science

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,...
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Summarized Proceedings and a Directory of Members, 40. sējums

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,...
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Proceedings of the American Association for the ..., 40. sējums,1891. daļa

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,...
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The Collected Mathematical Papers of Arthur Cayley, 11. sējums

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...
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The collected mathematical papers of Arthur Cayley: Vol. XI

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...
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The Teaching of Algebra (including Trigonometry)

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...
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The Teaching of Algebra (including Trigonometry)

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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