Superfluous force

Let s establish an increment of deformation and, hence, stress da = dzE. For the moment of time dt, the superfluous stress will decrease due to its distribution over a greater number of particles. It is obvious that the average value of an increment of viscous highly elastic deformations of particles coincides with the average value of elastic deformation. Further, we shall designate superfluous force aj, and notice that for an interval of time dt, stress is constant. In this case, Eq. (2.44) will become ... 

The superfluous force is connected with active force with the relationship... 

Now build up the fire in such a way that the white mercurial matter gets carried away above the faeces [enphasis added] and so that goes up into the aludel. Four hours later, bum some more wood to get a blazing fire now both the base of the vessel and the residue within it must turn red. Continue in this manner until there remains just a bit of white mercurial substance adhering to the faeces. Now the force and violence of the fire will finally separate the parts. Mark well how by this operation you will have removed two impurities from Mercury. First, you will have taken from it all its superfluous humidity second, you will have ridded it of its impure earthy parts, those that were left in the faeces. In this way you will have sublimated the mercury into a bright-colored and half-fixed substance. ... 

For practical applications the computation of tt beyond a few digits is superfluous. For practical applications, the formula for the variation of freezing point with pressure may not always be needed it is sufficient to know the sign of the derivative of freezing point with pressure. For it is this that allows the skate s heel to sweep smooth upon a bow-bend. Hopkins line evokes a totally different set of images in which one can take delight at a new level. The recollection that it is transcendental may have the same passionate force, but its overtones are of a much more abstract nature. With Hopkins we are led immediately to human, and indeed to spiritual, vistas which mathematics, for all its beauty, cannot afford. You will recall that the sonnet The Windhover To Christ our Lord goes on ... 

The composition of environmental compartments undergoes continuous changes, the main driving force of which is solar radiation. The most spectacular changes are brought about by photosynthesis, which is beyond the subject of this chapter. However, beside photosynthesis a variety of photochemical processes are observed in nature that results in the removal of many diverse substances, in particular superfluous, degraded or even harmful organic compounds. 

However, if the forces acting upon the system belong to certain particular categories, in order to find the work done during a modification it is sufficient to know the initial and final states any knowledge of the intermediate states is superfluous. 

Here once again we perceive the limits of bourgeois production and diso>ver that it is not the ultimate form appropriate to the development of the forces of production. On the contrary, it becomes plain that the two come into conflict at a certain point. One aspect of this conflict takes the form of the recurrent crises, etc. which break out when one or the other sector of the working class ftnds that its traditional occupation has become superfluous. Its outer limit is the surplus time of the workers the absolute surplus time that society gains, is of ho concent to them. Hence the development of the forces of production is only important to the extent to which it increases the workers surplus labour time, and not because it reduces the labour time required for material production In general. ... 

Because the protein structure record IBNl has three barnase molecules in the crystallographic unit, the PDB file has been hand-edited using a text editor to delete the superfluous chains. Editing data files is an accepted and widespread practice in three-dimensional molecular structure software, forcing the three-dimensional structure viewer to show what the user wants. In this case, the crystallographic data... 

Figure S is analogous to Figure 4, but the force application direction is perpendicular to the specimen orientation. Comments are actually superfluous, except for the fact that there is an analogy here with uni-directional HCs. This raises the question of achieving multi-directional orientation in PLCs - a topic we shall discuss for the blends in Sections VII and for supercomposites in Section X. 

In the early twentieth century, the distinction between the physical forces and the chemical forces, at the molecular level, was superfluous imder the conjugation of the atomic theories, coming from the quantum physics, with those chemical, of the valence theory. In the modem science, it was ultimately imposed the idea that the forces which hold the atoms in molecules or in crystals are physical, but expresses the reality of the chemical bondings. 

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