Thus we have integrations which arise from the simple growth of adjacent parts that perform like functions: as, for instance, the coalescence of Manchester with its calico-weaving suburbs.
And further, the circumstance that in the social organism these integrations are determined by community of function, confirms the hypothesis that they are thus determined in the individual organism.
Now in the social organism we may see the same duality of process; and further, it is to be observed that the integrations are of the same three kinds.
But such integrations do not exist in the Far East; indeed, the capital to make them does not exist.
Our own architectural monstrosities and our Babels of machinery have been brought into existence by vast integrations of industrial capital.
The integrations may also be effected by means of polar co-ordinates, taking first the integration with respect to [phi] so as to obtain the result for an infinitely thin annular aperture.
It may be made to depend on the integrations of a single differential equation.
As long as you stick to general science, I'm right on your heels, but please lay off of integrations and all that--most especially stay away from those terrible electrical integrations.
Yet, after all, these were but integrations of the natural ethics implanted in each man's heart.
Integrations they were, but rearrangements--redevelopments from some common source.
The integration of other functions, which can be integrated in terms of the elementary functions, can usually be effected by transforming the functions into rational functions, possibly after preliminary integrations by parts.
The definition of integration has been explained in S 5 above, and the results of some of the simplest integrationshave been given in S 12.
By this method Cavalieri was able to effect numerous integrations relating to the areas of portions of conic sections and the volumes generated by the revolution of these portions about various axes.
Only that differentiation is progressive which results in new integrations and greater complexity of social relations.
The lesson of history is, that Republics and Liberty always go down when the necessary integrations of civilization and progress, military or other, pass from the control of the people.
First there is solar, and then there is geological evolution, processes accurately describable as integrations in the mechanical sense, namely, as decrease in bulk, or growth in hardness.
Neither heightened specific gravity, nor greater massiveness, which are the only conceivable integrations of matter, is a mark of the more evolved vital, mental, or social things.
Thus we have integrations that arise from the simple growth of adjacent parts that perform like functions; as, for instance, the coalescence of Manchester with its calico-weaving suburbs.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "integrations" in a variety of sentences. We hope that you will now be able to make sentences using this word.
