The Quarterly Journal of Pure and Applied Mathematics, Volume 11J.W. Parker, 1871 - Mathematics |
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Page 26
... letters a , b , c , ... g , can be arranged variously in 7 triads , so that no 2 letters come together in 2 of them . Let us take one such arrangement as abc , ade , afg , bdf , beg , cdg , cef , and call these fundamental triads . Each ...
... letters a , b , c , ... g , can be arranged variously in 7 triads , so that no 2 letters come together in 2 of them . Let us take one such arrangement as abc , ade , afg , bdf , beg , cdg , cef , and call these fundamental triads . Each ...
Page 28
... The grouping of 15 girls for 7 successive days . ade bd cef Again , let each of the 15 letters represent correlative pairs P'p ' , « , ' « , " ... I.I . " , then the 35 triads expand into 4 × 35 or 28 General Solution and Extension of the.
... The grouping of 15 girls for 7 successive days . ade bd cef Again , let each of the 15 letters represent correlative pairs P'p ' , « , ' « , " ... I.I . " , then the 35 triads expand into 4 × 35 or 28 General Solution and Extension of the.
Page 29
... letters 2 p'p2 , a‚'a‚3 ... g , g . Placing a 31st letter q before each of the 15 correlative pairs , we have 155 or 5 × 31 triads of the 31 letters , and if the 31 letters be replaced by the series abcdefghijklmnopqrstuvwxyzẞyd0p , we ...
... letters 2 p'p2 , a‚'a‚3 ... g , g . Placing a 31st letter q before each of the 15 correlative pairs , we have 155 or 5 × 31 triads of the 31 letters , and if the 31 letters be replaced by the series abcdefghijklmnopqrstuvwxyzẞyd0p , we ...
Page 30
... letters a , b , c , ... 8 , 0 . Let each of these letters and pairs such as a of a'a ' , & c . the 31st represent correlative Introducing a 63rd letter to these 62 new letters , we get the 31 triads pa'a " , ub'b " ... μ1 * . If we ...
... letters a , b , c , ... 8 , 0 . Let each of these letters and pairs such as a of a'a ' , & c . the 31st represent correlative Introducing a 63rd letter to these 62 new letters , we get the 31 triads pa'a " , ub'b " ... μ1 * . If we ...
Page 31
... letters resolves itself into 4 triads , each triad of a ....... ß , may be used 4 times . Hence we can take the table of triads of these quaternion symbols and mark each triad as we use it that it may not occur more than 4 times . Then ...
... letters resolves itself into 4 triads , each triad of a ....... ß , may be used 4 times . Hence we can take the table of triads of these quaternion symbols and mark each triad as we use it that it may not occur more than 4 times . Then ...
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Common terms and phrases
a+b+c action af-g angle angular velocities axes body Cayley centre circle coefficient columns common tangent concyclic cone confocal conic conicoids conjugate coordinates corresponding cubic curvature cusps denote differential dt dt elements ellipsoid envelope equal equation Euler's equations evectant evolute expression fixed point formulæ given curve greatest value Hence inflexion instantaneous axis integral intersection line IJ log mv magic square nodal normal obtain pairs parallel curve perpendicular points of contact pole quadric quartic surface radius reciprocal respectively shewn solenoid solution stationary tangent suppose tangent planes theorem torse triads unlike signs vertex w₁ whence WILLIAM WALTON zero square
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