...gravity.

Even in this case, there are small secular changes occuring which, except in very special circumstances, can be neglected.

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...deformationless

Rotates like a solid with angular speed 134#134.

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...centripetal

Not to be confused with the term centrifugal force.

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...derivative.

For proof reference is made to (), Art. 135.

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...experiments.

Strictly speaking, the tidal force is also included in pendulum measurements, but this is of the order of 482#482 that of gravity.

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...form

Ignoring the gravity anomalies near shores which are effects of second order compared with the gross latitudinal variation described by Eq. (78).

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...circulation.

It has been proposed by Munk that changes in the atmospheric jet stream and general zonal index effect the length of the day by virtue of the conservation of angular momentum of the earth and atmosphere as a whole.

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...near

Relative to the radius of the Earth.

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...here.

It should be noted that in The Oceans a left-handed coordinate system is adopted, with the vertical axis directed downward in the direction of z This reverses the sign of the vertical component of the acceleration.

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...stress

A stress is defined as a force per unit area; a normal stress (pressure) is defined as a force per unit area acting normal to and in the direction of the surface in question

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...volume

733#733 is equivalent to 734#734 if the field of gravity is the only external force acting on the fluid, where 735#735 is the mean mass density of the fluid in the tetrahedron.

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...micron,

One cubic micron 754#754 of water at normal conditions of temperature and pressure contains about 33 billion molecules.

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...function

It is furthermore asserted that 431#431 is continuous.

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...Gauss.

Sometimes credited to Green as well. For proof, reference is made to Sokolnikoff, Loc. cit., Art. 62.

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...776#776.

For example, 777#777 or 778#778 at time t.

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...salinity,

Salinity is measured in terms of the effective total salt in grams per kilogram of sea water (i.e. parts per mille by weight.)

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...fluid.

The portions underlined in Eqs. (29) and (30).

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...rule.

Note that p' in Eqs. (32) is merely a parameter of integration.

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...interface.

Although the geopotential gradient along the isobaric surfaces in the two layers are independent of depth, the slopes 828#828 and 829#829 vary inversely proportional to g.

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...purposes.

For a somewhat more refined model, composed of a barotropic layer overlying a baroclinic layer of exponential density transition, reference is made to JMR, Vol. 7, No. 3, 1948, pp. 304-313.

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...fluid

The following development is due to Sverdrup et al. (1942). The only change is in the orientation of the z axis.

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...constituents.

The fishes, mammals, and the fixed plant life of the sea form still another class of non-conservative constituents. However, these are excluded in the discussion which follows, since these are not entirely at the mercy of the currents like the free floating forms.

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...diffusion.

The term diffusion in connection with the larger free floating forms of marine life must be considered in a broader sense than that phenomena which is related to molecular processes.

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...989#989.

990#990 means the value of 980#980 on the surface normal to the x axis.

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...radius

The hydraulic radius as employed here means the volume of fluid within which there is a significant motion divided by the solid perimeter of this volume.

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...curves

The adiabatic curves for a given fluid are reproducible only if the experiments are carried out statically (or as close to this as possible) so that the process may be considered as essentially reversible

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...definition

See, for example, ().

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