If k' - k, V -V be small, this represents 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 476by John William Strutt Baron Rayleigh - 1894 - 984 pagesFull view - About this book
| 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... | |
| Alfred Barnard Basset - Hydrodynamics - 1888 - 592 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 - 1888 - 592 pages
...Progressive Waves " ; Proc. Land. Math. Soc. vol. ix. 11—2 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 - 1888 - 592 pages
...Progressive Waves " ; Proc. Loud. Math. Soc. vol. ix. 11—2 If k — k, V —V be small, this represents **a train of waves whose amplitude varies slowly from...comparatively free from disturbance. The position at time** í of the middle of the group which was initially at the origin is given by (k'V'-kV)t-(k'-k)x = C>,... | |
| 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
...2J12 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... | |
| Thomas Preston - Light - 1895 - 574 pages
.../k'v' + kv k' + k —— = 2cosiacos[i-(t*-*) + Ja] where a=d(kv) . t-xdk. Now, ilk" -k and i/-rbe very **small, we have a train of waves whose amplitude varies...from one point to another between the limits 0 and** 'J, forming a series • j-7'iups separated from one another by regions comparatively free from disturbance.... | |
| John William Strutt Baron Rayleigh - Physics - 1899 - 3702 pages
...Vt - x), which is equal to 2 cos {b(k'V -lcV\t-% (/f - k)x] . cos {£ (k'V + kV) t - £ (k' + k')x}. **If k' — k, V — V be small, we have a train of...group, which was initially at the origin, is given by** (k'V -kV)t-(k'-k)x = 0, which shows that the velocity of the group is (k'V — kV) + (I•' — k).... | |
| Thomas Preston - Light - 1912 - 618 pages
...+ cos k'(v't - x) /iV-to, Vk \ /fcV + fri> if + * \ = 2 cos (—ft - -2- x } cos ( - 2— t —rx) **varies slowly from one point to another between the...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... | |
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