Proceedings of the Royal Society of Edinburgh, Volume 23The Society, 1902 Obituary notices are included in many of the volumes. |
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a₁ acid ammonia angle aphelion atom axis bark beetles Belfast Lough binary fission brood Burchell's zebra Cayley Cayley's coefficient column comet conjugation containing cosh curve denoted density déterminant gauche dissection Drehstreckung Edinburgh egg-laying eggs elements enzyme equations ether examination experiment expression extract fermentation fibrin free ammonia given hairs heat hydrogen identity imago inches issued Jacobi July June larva larvæ latissima length liquid LL.D Maupas medulla multistriatus nitrogen notatus observations obtained orbit ORDINARY MEETING paper particle persulphate Pfaffians pigment pine piniphilus Pissodes placed planet Plate present prism Professor propionic acid pupa quantity quaternion regarding Royal Santa Pola sea water seaweed sewage sinh skew determinant Society solar solution species spectrum square Stylonichia surface symmetric functions temperature Tetrabothrium theorem THOMAS MUIR tion tissues tubes ulva Ulva latissima undisturbed variables velocity weed XXIII zebra
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Page 134 - ... 148 (7) Both the general identity, however, and the special cases acquire new significance if we make use of a recently discovered theorem regarding Pfaffians in order to alter the form of the righthand side of the identity. This theorem, in so far as it concerns the present subject, may be described as giving an expansion of a special Pfaffian in the form of a series of terms, each of which is the product of a determinant and an element of the Pfaffian, the specialty of the Pfaffian being that...