Va/3 than any which depend on the definition of a quaternion, will appear in a strong light if we try to extend our formulae to space of four or more dimensions. It will not be claimed that the notions of quaternions will apply to such a space, except... Proceedings of the Edinburgh Mathematical Society - Pàgina 49per Edinburgh Mathematical Society - 1893Visualització completa - Sobre aquest llibre
| Royal Society of Edinburgh - 1893 - 388 pàgines
...innovators, I shall give three other short quotations from Gibbs's letter to Nature, as follows : — " How much more deeply rooted in the nature of things are the functions Sa/J and Va/J than any which depend on the definition of a quaternion will appear in a strong light,... | |
| American Association for the Advancement of Science - 1892 - 604 pàgines
...extension, having no limitation to any particular number of dimensions." Also in Nature, Vol. XLHI, p. 612, "How much more deeply rooted in the nature of things are the functions Sa/3 and Vaft than any which depend on the definition of a quaternion, will appear in a strong light, if we... | |
| American Association for the Advancement of Science - 1892 - 614 pàgines
...having no limitation to any particular number of dimensions." Also in Future, Vol. XLIII, p. 512, " How much more deeply rooted in the nature of things are the functions Sufi and VafS than any which depend on the definition of a quaternion, will appear in a strong light,... | |
| American Association for the Advancement of Science - 1892 - 606 pàgines
...having no limitation to any pnrilcular number of dimensions." Also in Nature, Vol. XLIII, p. 612, " How much more deeply rooted In the nature of things are the functions Sa.fi and Va.fi than any which depend on the definition of a quaternion, will appear in a strong light,... | |
| American Association for the Advancement of Science - 1892 - 604 pàgines
...having no limitation to any particular number of dimensions." Also in Nature, Vol. XLIII, p. 612, " How much more deeply rooted in the nature of things are the functions S<i() and Vu.fi than any which depend on the definition of a quaternion, will appear in a strong light,... | |
| Edinburgh Mathematical Society - 1893 - 352 pàgines
...limitation to any particular number of dimensions" (Nature, May 28, 1891). "How much more deeply noted in the nature of things are the functions Sa/3 and...notions of quaternions will apply to such a space, except, indeed, in such a limited and artificial manner as to rob them of their value as a system of... | |
| Royal Society of Edinburgh - 1893 - 410 pàgines
...innovators, I shall give three other short quotations from Gibbs's letter to Nature, as follows : — " How much more deeply rooted in the nature of things are the functions Sn/3 and Va/3 than any which depend on the definition of a quaternion will appear in a strong light,... | |
| Alexander Macfarlane - 1894 - 244 pàgines
...having no limitation to any pariicular number of dimensions." Also in Nature, Vol. XLIII, p. 512, " How much more deepl-y rooted in the nature of things are the functions Sufl and Vaft than any which depend on the definition of a quaternion, will appear in a strong light,... | |
| Josiah Willard Gibbs - 1906 - 312 pàgines
...above considerations. The same is true of the quaternionic quotient, and of the quaternion in general. How much more deeply rooted in the nature of things are the functions Sa/3 and Va/8 than any which depend on the definition of a quaternion, will appear in a strong light if we try... | |
| Josiah Willard Gibbs - 1902 - 528 pàgines
...above considerations. The same is true of the quaternionic quotient, and of the quaternion in general. our formulae to space of four or more dimensions....notions of quaternions will apply to such a space, except indeed in such a limited and artificial manner as to rob them of their value as a system of... | |
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