Proceedings of the American Academy of Arts and Sciences, Volumen72Metcalf and Company, 1937 |
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Página 19
... Hence , a * ( ab ) * . = . ( a Z ) ( Zb ' ) ( a b ' ) , Hence , a * ( ab ) * is in T. Hence by 69 , a * which by 16 is in T. ( ab ) * . = .Z * . §8 . THEOREMS REQUIRING THE USE OF POSTULATE 17 The six following theorems , 81-86 , depend ...
... Hence , a * ( ab ) * . = . ( a Z ) ( Zb ' ) ( a b ' ) , Hence , a * ( ab ) * is in T. Hence by 69 , a * which by 16 is in T. ( ab ) * . = .Z * . §8 . THEOREMS REQUIRING THE USE OF POSTULATE 17 The six following theorems , 81-86 , depend ...
Página 22
... Hence , aab : → : a = ab . 90.3 . LEMMA 3. a≤b . & . b≤c : → : ac . Proof . By Adj . , a≤b . & .bc : →→ : ( ab ) ( bc ) in T. By B6 . ( ab ) ( bc ) ( ac ) in T , whence by the Rule of Inference , ( a 3b ) ( b 3 c ) in T ...
... Hence , aab : → : a = ab . 90.3 . LEMMA 3. a≤b . & . b≤c : → : ac . Proof . By Adj . , a≤b . & .bc : →→ : ( ab ) ( bc ) in T. By B6 . ( ab ) ( bc ) ( ac ) in T , whence by the Rule of Inference , ( a 3b ) ( b 3 c ) in T ...
Página 23
... Hence , aa'c in T. Hence , aa ' bb ' in T and bb ' 3 aa ' in T. Hence by 90.1 , aa ' bb ' . = 94.2 . a 3 a = Z * , and Z * in T. Proof . By B2 , 94.1 , a 3 a . = . ( aa ' ) * . = . Z * . By 91.1 , aa in T. Hence , Z * in T. 94.3 . aZ ...
... Hence , aa'c in T. Hence , aa ' bb ' in T and bb ' 3 aa ' in T. Hence by 90.1 , aa ' bb ' . = 94.2 . a 3 a = Z * , and Z * in T. Proof . By B2 , 94.1 , a 3 a . = . ( aa ' ) * . = . Z * . By 91.1 , aa in T. Hence , Z * in T. 94.3 . aZ ...
Contenido
Polymorphic Transitions of 35 Substances to 50000 | 44 |
POLYMORPHIC TRANSITIONS OF 35 SUBSTANCES TO 50000 Kgcm² Received December 10 1936 Presented December 9 1936 | 46 |
Detailed Data | 63 |
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