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Books Books 1 - 9 of 9 on If k' - k, V -V be small, this represents a train of waves whose amplitude varies....
" 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 476
by John William Strutt Baron Rayleigh - 1894 - 984 pages
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The theory of sound, Volume 1

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...
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A Treatise on Hydrodynamics: With Numerous Examples, Volume 2

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...
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A Treatise on Hydrodynamics: With Numerous Examples, Volume 2

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...
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A Treatise on Hydrodynamics: With Numerous Examples, Volume 2

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 of the middle of the group which was initially at the origin is given by (k'V'-kV)t-(k'-k)x = C>,...
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An Elementary Treatise on Hydrodynamics and Sound

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...
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The Theory of Light

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...
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The Theory of Light

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....
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Scientific Papers: 1869-1881

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)....
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The Theory of Light

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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