If k' — k, V - V be small, we have a train of waves whose amplitude varies slowly from one point to another between the limits 0 and 2, forming a series of groups separated from one another by regions comparatively free from disturbance. The position... The Theory of Sound - Page 470by John William Strutt Baron Rayleigh - 1894 - 984 pagesFull view - About this book
| John William Strutt Baron Rayleigh - Sound - 1877 - 984 pages
...we have a train of waves, whose amplitude slowly varies from one point to another between the values **0 and 2, forming a series of groups separated from...another by regions comparatively free from disturbance.** In the case of a string or of a column of air, X varies as r, and then the groups move 191.] RESULTANT... | |
| John William Strutt (3rd baron Rayleigh.) - 1877
...we have a train of waves, whose amplitude slowly varies from one point to another between the values **0 and 2, forming a series of groups separated from...another by regions comparatively free from disturbance.** In the case of a string or of a column of air, X varies as r, and then the groups move forward with... | |
| John William Strutt Baron Rayleigh - Sound - 1878
...and the boat's course. 298 PROGRESSIVE WAVES. which is equal to KV K'-K . cos If *' — K, F' — F **be small, we have a train of waves whose amplitude...group, which was initially at the origin, is given by** which shews that the velocity of the group is (x'V — «F) -f- (K — K). In the limit, when the number... | |
| Alfred Barnard Basset - Hydrodynamics - 1888 - 264 pages
...On Progressive Waves " ; Proc. Land. Math. Soc. vol. ix. If k' - k, V -V be small, this represents **a train of waves whose amplitude varies slowly from...disturbance. The position at time t of the middle of** the group which was initially at the origin is given by (k'V'-kV}t-(k'-k)x = 0, which shows that the... | |
| Alfred Barnard Basset - Hydrodynamics - 1890 - 187 pages
...-kV)t- (kr - k) x} x cos i {(k'V + kV)t- (k' + k) x}. If k' — k, V —V be small, this represents **a train of waves whose amplitude varies slowly from...disturbance. The position at time t of the middle of** the group, which was initially at the origin, is given by (k'V-kV)t-(k'-k)x = 0, which shows that the... | |
| Thomas Preston - Light - 1890 - 574 pages
...2 J = 2 cos Jo cos \k(ct - z) + Jo] where a = d(kv) . t - xdk. ' Now, if k' - k and v' - v be very **small, we have a train of waves whose amplitude varies...another by regions comparatively free from disturbance.** At any time t the position of the middle of that group which was initially at the origin is given by... | |
| John William Strutt Baron Rayleigh - Sound - 1894 - 984 pages
...(KV-kV k'-k ) tk'V + kV k' + k 1 cos k'-k ) (k'V' + kV k' + k } <-- r xs • cosr -2- '- 2 •}• **If k' — k, V - V be small, we have a train of waves...group, which was initially at the origin, is given by** (k'V-kV)t-(k'-k)x=0, which shews that the velocity of the group is (KV - kV) -f- (k' — k). In the... | |
| John William Strutt Baron Rayleigh - Sound - 1894
...+ kV k' + k cos- tIk' j_ -~2 If k' — k, V — V be small, we have a train of waves whose amplitu **varies slowly from one point to another between the limits 0 and** forming a series of groups separated from one another by regions co1 paratively free from disturbance.... | |
| Thomas Preston - Light - 1895 - 574 pages
...t= 2 cos Jet cos [t(rt -•'•) + Jo] where o = d(kv) . t - jdk. Now, if f - k and v' - v be very **small, we have a train of waves whose amplitude varies...another between the limits 0 and 2, forming a series** 'if groups separated froin one another by regions comparatively free from disturbance. At any time... | |
| London Mathematical Society - Electronic journals - 1878
...is half the tangent ol the angle between the wave-fronts and the bout's coiuse. If K — K, V — F **be small, we have a train of waves whose amplitude...group, which was initially at the origin, is given by** (YF'-KF) t - (K- K) x = 0, which shews that the velocity of the group is (n'V' - cF) H- (K' - K). In... | |
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