Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
من داخل الكتاب
النتائج 1-5 من 100
الصفحة 2
... zero or one of the parts 91 , 92 , of the partition ( qq ... ) of q . There may be also biparts of the form ( 0q . ) , ( 02 ) , The biparts are therefore of one of the three forms ( p.qt ) , ( p.0 ) , ( 0qı ) , and their number has ...
... zero or one of the parts 91 , 92 , of the partition ( qq ... ) of q . There may be also biparts of the form ( 0q . ) , ( 02 ) , The biparts are therefore of one of the three forms ( p.qt ) , ( p.0 ) , ( 0qı ) , and their number has ...
الصفحة 7
... zero bipart 00 not being excluded as a permissible bipart , and in which no particular part ( including the bipart 00 ) occurs more than once . Of course the double sum Daxx ΣΣ D , D , ... D ̧α x , α x2 ... α zπ - Zx + 8 ) π X Σχ + 8 ...
... zero bipart 00 not being excluded as a permissible bipart , and in which no particular part ( including the bipart 00 ) occurs more than once . Of course the double sum Daxx ΣΣ D , D , ... D ̧α x , α x2 ... α zπ - Zx + 8 ) π X Σχ + 8 ...
الصفحة 8
... zero part being excluded , we have Q3 = 1 , Q3 + Q1 = 5 , Q1 + Q5 = 5 , Q = 1 , whence Q4 and Q3 + Q1 + Q5 = 6. · This number 6 which enumerates the partitions of the group which possess different parts is either DDD1аαα + D2 D12αα12 ...
... zero part being excluded , we have Q3 = 1 , Q3 + Q1 = 5 , Q1 + Q5 = 5 , Q = 1 , whence Q4 and Q3 + Q1 + Q5 = 6. · This number 6 which enumerates the partitions of the group which possess different parts is either DDD1аαα + D2 D12αα12 ...
الصفحة 9
... zero part 00 not being excluded from being an admissible part , and in which no particular part ( including the part 00 ) occurs more than k times . ... Art . 5. I pass on to consider the similar theory of tripartite partitions and it ...
... zero part 00 not being excluded from being an admissible part , and in which no particular part ( including the part 00 ) occurs more than k times . ... Art . 5. I pass on to consider the similar theory of tripartite partitions and it ...
الصفحة 13
... zero parts excluded , whence Q2 = 4 , Q2 + Q3 = 36 , Q3 + 2 = 70 , Q1 + Q5 = 50 , Qs + Q6 = 13 ; Q2 = 4 , Q3 = 32 , Q.38 , Q.12 , Q。= 1 . Comparing these numbers with those found in Art . 6 we see that there are in fact no partitions ...
... zero parts excluded , whence Q2 = 4 , Q2 + Q3 = 36 , Q3 + 2 = 70 , Q1 + Q5 = 50 , Qs + Q6 = 13 ; Q2 = 4 , Q3 = 32 , Q.38 , Q.12 , Q。= 1 . Comparing these numbers with those found in Art . 6 we see that there are in fact no partitions ...
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a₁ angle approximately asymptotic expansion atmosphere Axiom of Archimedes axis b₁ c₁ calculated coefficients considered constant convergent convex set cordon corresponding cos² curve d₁ definition denote density determined differential equations disturbance diurnal diurnal variations dyadic earth equal escape expression factor finite follows formula free path function G. H. Hardy giant star given h₂ Hence integral equation invariant Jacobian k₁ k₂ magnitude molecules obtained orbit paper parameters partitions plane positive potential Primitive Roots ratio relation respectively result rotation scalar shew shewn sin² solar solid angle solutions substitution suppose surface t₁ theorem theory v₁ values vector velocity w₁ X₁ XXII zero Σ Σ дх