 | Cambridge Philosophical Society - 1900 - عدد الصفحات: 530
...Assuming the condition bf = 0 satisfied, it is known from the preceding result that the equations in U' and V possess regular integrals, which vanish with...: the other of them is the relation represented by bK = 0. To obtain them directly from the original forms, we can proceed as follows. Let 1=1 1=1 be... | |
 | Andrew Russell Forsyth - 1900 - عدد الصفحات: 414
...equations, or as an equation determining a, has already been discussed. Assuming the condition bf = 0 satisfied, it is known from the preceding result...investigation, that two conditions must be satisfied to allow the possession of regular integrals: one of them is a relation among the constants of the... | |
 | Andrew Russell Forsyth - 1900 - عدد الصفحات: 405
...Assuming the condition b K = Q satisfied, it is known from the preceding result that the equations in U' and V possess regular integrals, which vanish with...investigation, that two conditions must be satisfied to allow the possession of regular integrals: one of them is a relation among the constants of the... | |
 | Andrew Russell Forsyth - 1900 - عدد الصفحات: 414
...Assuming the condition b« = 0 satisfied, it is known from the preceding result that the equations in U' and V possess regular integrals, which vanish with...inferences stated earlier are therefore established. Tt appears, from the investigation, that two conditions must be satisfied to allow the possession of... | |
 | عدد الصفحات: 530
...equations, or as an equation determining a, has already been discussed. Assuming the condition bx = 0 satisfied, it is known from the preceding result...: the other of them is the relation represented by b, = 0. To obtain them directly from the original forms, we can proceed as follows. Let »^, v = q... | |
 | Andrew Russell Forsyth - 1969 - عدد الصفحات: 416
...equations, or as an equation determining a, has already been discussed. Assuming the condition 6, = 0 satisfied, it is known from the preceding result...investigation, that two conditions must be satisfied to allow the possession of regular integrals: one of them is a relation among the constants of the... | |
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V and V possess regular integrals, which vanish with t and involve an arbitrary constant that does not appear in the differential equations. The inferences stated earlier are therefore established. It appears from the investigation that two conditions... 