An element of water volume on the surface is shown to be subject to three forces: the vertical force due to gravity F < sub > g </ sub >, the horizontal, radially outward centrifugal force F < sub > Cfgl </ sub >, and the force normal to the surface of the water F < sub > n </ sub > due to the rest of the water surrounding the selected element of surface.

Notice that at equilibrium the surface adopts a shape such that an element of volume at any location on its surface has the same potential energy as at any other.

More specifically, the continuum hypothesis / assumption hinges on the concepts of a representative volume element ( RVE ) ( sometimes called " representative elementary volume ") and separation of scales based on the Hill – Mandel condition.

When the separation of scales does not hold, or when one wants to establish a continuum of a finer resolution than that of the RVE size, one employs a statistical volume element ( SVE ), which, in turn, leads to random continuum fields.

This means that the divergence measures the rate of expansion of a volume element as we let it

* Director, the spatial and temporal average of the orientation of the long molecular axis within a small volume element of liquid crystal

Delaunay triangulations are often used to build meshes for space-discretised solvers such as the finite element method and the finite volume method of physics simulation, because of the angle guarantee and because fast triangulation algorithms have been developed.

where R ( g ) is the scalar curvature and vol ( g ) is the volume element.

where is the angle between the LC molecular axis and the local director ( which is the ' preferred direction ' in a volume element of a liquid crystal sample, also representing its local optical axis ).

The 3-current density J corresponds to the motion of the charge element dq in volume element dV and varies throughout the continuum.

* A voxel is a volume element, the 3D analogue of a 2D pixel.

Alternatively this formula is found using spherical coordinates, with volume element

With this in mind, we can find the form the unit volume element on spacetime in terms of the gammas as follows.

It takes a leading role when questions of parity arise, because the volume element as a directed magnitude changes sign under a space-time reflection.

where ρ is the charge density ( the amount of charge per unit volume ), and dV is the differential volume element.

So the probability of finding a particle in a differential volume element d < sup > 3 </ sup > r is

These two factors ( constancy of atomic volume and constancy of mole-specific heat capacity ) result in a good correlation between the volume of any given solid chemical element and its total heat capacity.

The detected light originating from an illuminated volume element within the specimen represents one pixel in the resulting image.

In CLSM a specimen is illuminated by a point laser source, and each volume element is associated with a discrete scattering or fluorescence intensity.

where d < sup > 3 </ sup > k = dk < sub > x </ sub > dk < sub > y </ sub > dk < sub > z </ sub > is the differential volume element in k-space, and the integrals are taken over all k-space.

Another element to concern the choreographer is that of the visual devices of the theatre.

indeed, it is maintained that the sexual element in jazz, by freeing the listener of his inhibitions, can have therapeutic value.

The rocking, I realized, is the single element in the story that carries the erotic message, the unspoken and unconscious undercurrent that would mar the innocence of a child's fantasy and disturb the effects of the work if it were made explicit.

It is a matter of trying to sort out an earlier fourth-century Saxon element from the later, fifth-century mainstream of Anglo-Saxon invasions.

Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.

The element is inserted in the discharge circuit in place of the exploding wire, and the calorimetric heating of the element is measured with high accuracy.

This is used as a reference for comparing the ohmic heating and the electrical energy obtained from the measured current through the element and the measured voltage across the element.

The Strategic Air Command is the principal element of our long-range nuclear capability.

Steinberg obviously has concluded that it is the lyric element which must dominate in this score, and he manages at times to create the effect of the whole orchestra bursting into song.

There is some indication from a limited number of interviews with members of the population that the element of power, primarily the voluntary influence of non-authoritative power, has been exerted on actors in the system, particularly in regard to mate selection.

Each cell except the last in the chain also contains the address of the Y-cell that is the next element of the chain ; ;

This element is often called `` strong hands ''.

A sixth element, not always considered, is intelligence.

Proponents of single elements tend to ensure predominance of that element without determining if it is justified, and the element with the most enthusiastic and vociferous proponents has assumed the greatest importance.

While one element is announcing progress, another is delineating its problems.

The advantages inherent in mine warfare justify as great an importance for this element as is accorded any of the other elements.

Of course, there is an element of training here: these gifted people, by concentration, study, guidance, have learned to develop their power.

the cinematic element of time is merely used to increase the realism of an object which would still be reasonably realistic in a still photo.

Science is fully competent to deal with any element of experience which arises from an object in space and time.

Eventually it became clear to me, partly with the aid of another schizophrenic patient who could point out my condescension to me somewhat more directly, that this man, with his condescending, `` You're welcome '', was very accurately personifying an element of obnoxious condescension which had been present in my own demeanor, over these months, on each of these occasions when I had bid him good-bye with the consoling note, each time, that the healing Christ would be stooping to dispense this succor to the poor sufferer again on the morrow.

The satirical element of the pamphlet is often only understood after the reader notes the allusions made by Swift to the attitudes of landlords, such as the following: " I grant this food may be somewhat dear, and therefore very proper for Landlords, who as they have already devoured most of the Parents, seem to have the best Title to the Children.

An atom of any other element ionized down to a single electron is very similar to hydrogen, and the orbitals take the same form.

The relatively small number of atomic absorption lines ( compared to atomic emission lines ) and their narrow width ( a few pm ) make spectral overlap rare ; there are only very few examples known that an absorption line from one element will overlap with another.

As an element, fire has very mixed symbolism because it represents energy, which can be helpful when controlled, but volatile if left unchecked.

The element is also very rational and quick to flare up as is the personality of many fire-children.

It almost always has an element of exclusion, meaning that some people are not citizens, and that this distinction can sometimes be very important, or not important, depending on a particular society.

The temperature of the steam is easier to control than the surface of a heating element, and allows a high rate of heat transfer without heating at a very high temperature.

Whilst Laura Mulvey's paper has a particular place in the feminist film theory, it is also important to note that her ideas regarding ways of watching the cinema ( from the voyeuristic element to the feelings of identification ) have been very important in terms of defining spectatorship from the psychoanalytical view point.

Based on the intuition of a very experienced chemist, Dimitri Mendeleev had predicted the existence of a missing element in the Periodic Table, which was later found to be filled by technetium, and Bohuslav Brauner had predicted the existence of another missing element in this Table, which was later found to be filled by promethium.

Where the first element was long, the iota was lost in pronunciation at an early date, and was written in polytonic orthography as iota subscript, in other words as a very small ι under the main vowel, for instance.

The element is very poorly absorbed after oral administration and when injected its elimination is very slow.

After graduation he began work on the very stylized crime drama, The Element of Crime ( Forbrydelsens element 1984 ), which won a technical award at the Cannes Film Festival.

Here the atomic weight of the lightest element and the heaviest are summed, and averaged, and the average is found to be very close to that of the intermediate weight element.

Although neon is a very common element in the universe and solar system ( it is fifth in cosmic abundance after hydrogen, helium, oxygen and carbon ), it is very rare on Earth.

At standard temperature and pressure, two atoms of the element bind to form dioxygen, a very pale blue, odorless, tasteless diatomic gas with the formula.

A very common atomic element in space is hydrogen.

Silicon is the eighth most common element in the universe by mass, but very rarely occurs as the pure free element in nature.

Hydrochloric and nitric acids dissolve uranium, but non oxidizing acids attack the element very slowly.

His four element theory became very popular.