Proceedings of the Cambridge Philosophical Society: Mathematical and physical sciences, Volumen23

Portada
Cambridge Philosophical Society, 1927
 

Contenido

On chains of twotwo relations and the theory of elliptic functions
92
On a group of 1440 birational transformations of four variables that
103
The stability of a strut under thrust when buckling is resisted by a force
120
CAMBRIDGE
190
The general m n correspondence By R VAIDYANATHASwamy Com
190
Relativity in connexion with axial rotation By Mr R HARGREAVES
198
On the higher singularities of plane algebraic curves By Miss C
206
The 2 1 correspondence By R VAIDYANATHASWAMY Communicated
233
Integral invariants of the affine field By Mr M H A NEWMAN
262
An approximation to the motion of two rotating electrical doublets in
269
The elliptic products of Jacobi and the theory of linear congruences
335
On Mellins inversion formula By Mr J C BURKILL Trinity College
356
A mathematical theory of natural and artificial selection Part III
363
The summation of a Fourier integral of finite type By Mr S POLLARD
373
On some resistance properties of a certain network containing inductances
391
The polarisabilities of atomic cores By BERTHA SWIRLES Yarrow
403
68
404
On quantum algebra By Dr P A M DIRAC St Johns College
412
An optical illusion due to contrast By Mr G P THOMSON Corpus
419
69
435
Note on the velocity of gasreactions By Mr J A CHRISTIANSEN
438
Note on the Petzval optical condition By Mr G C STEWARD Gonville
461
On compressional waves in two superposed layers By Mr HAROLD
472
Proceedings at the meetings held during the session 19251926
482
The reciprocation of one quadric into another By Professor H F BAKER 5
483
The problem of relativity in reference to several bodies By Mr
487
Statement of Accounts of the Cambridge Philosophical Society from
490
On the figure of Pappus theorem By Mr C V HANUMANTA Rao
496
79
500
On the polarisation of mercury lines emitted from a discharge tube in
508
Note on the effect of alpha particles on paraffin By WILLIAM
516
The application of the method of the magnetic spectrum to the study
523
Some investigations of gas discharges by means of an exploring electrode
531

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Página 102 - The b'nes of a double-six will here be represented by the usual notation a, b, c, d, e, f, a', b', c', d', e...
Página 3 - We infer from this that a triangle can be constructed with three given lines as sides, when the sum of any two sides is greater than the third side.
Página 179 - My thanks are due to the department of Scientific and Industrial Research for a grant in aid of this work.
Página 273 - F and E are the complete elliptic integrals of the first and second kind, respectively, to modulus k.
Página 400 - In the particular case when two numbers x and y satisfy xy = yx, we shall say that x commutes with y. A c-number is assumed to commute with every number. The development of the algebra of ^-numbers has up to the present been greatly hampered by the fact that there has been no general definition of a function of a ^-number variable. One has been obliged to restrict the word function to apply only to analytic functions specified by algebraic equations involving the operations of addition, multiplication...
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Página 488 - C, D' = D, E' = -E, it is simply isomorphic with a group of order 25920. This group of order 25920 thus arises directly in connection with the projective transformations of a cubic surface which has just 27 distinct lines on it. The Compton Effect in Wave Mechanics. By Dr PAM DIRAC, St John's...
Página 473 - PRESIDENT, IN THE CHAIR. The following was elected a Fellow of the Society : AL Bennett, BA, Christ's College.
Página 510 - The application of the method of the magnetic spectrum to the study of secondary electronic emission.
Página 530 - Electrons are distributed uniformly in the six-dimensional phase space for the motion of an electron at the rate of two for each h* of (six) volume.

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