Becomes hm, and we have h,ï¿½,,ih,ï¿½,,2hm3...
If each of the fractions (3) is put equal to i/4h, it is readily found, from the first property of the normal state, that, of the s molecules of the first kind, a number sal (h3m3 /13)e hm (u2+v2+w2)dudvdw (4) Velocities.
Have velocities of which the components lie between u and u+du, v and v+dv, w and w+dw, while the corresponding number of molecules of the second kind is, similarly, s' y (h3m'3/73)e hm'(u2-1-v2+"' 2)dudvdw.
The number of molecules of the first kind of gas, whose components of velocity lie within the ranges between u and u+du, v and v+dv, w and w+dw, will, by formula (5), be v?l (h 3 m 3 /7 3)e hm (u2+v2+w2)dudvdw (9) per unit volume.
Thus the contribution to the total impulsive pressure exerted on the area dS in time dt from this cause is mu X udtdS X (11 3 m 3 /,r 3)e hm (u2+v2+w2 )dudvdw (I o) The total pressure exerted in bringing the centres of gravity of all the colliding molecules to rest normally to the boundary is obtained by first integrating this expression with respect to u, v, w, the limits being all values for which collisions are possible (namely from - co too for u, and from - oo to + oo for v and w), and then summing for all kinds of molecules in the gas.
The maximum height of the curve HM =a is the amplitude.
In the third mode HM =X 3 =l and n 3 =U/X 3 =3U/2l, and so on.
Hm.... If you wish to kill him, to kill him outright, you can see him...
"Hm... Hm..." muttered the old prince to himself, finishing what he was writing.
Hm! muttered the prince, sitting down.
Hm!--his excellency is a puppy....
"Hm... Hm...!" growled Pierre, frowning without looking at her, and not moving a muscle.
"Hm..." said the count, and stopped.