By shortening and simplifying the questions, I really render them much more complete.
Combebiac's tri-quaternion may be regarded from many simplifying points of view.
The Lutherans interpreted this to mean the right to frame ecclesiastical regulations for various principalities and to make changes in public worship. Luther busied himself in simplifying the service, in giving advice, - anxiously sought for, about the best modes of organising ecclesiastical affairs.
The subject is dealt with in Electrolysis and Electric conduction: § dealt with the relations between the properties of an ideally dilute solution, we now turn to the consideration of the general case where the simplifying assumption of great dilution is not made.
The advantage of this combination is that, by simplifying the conditions with which the composition of the pig iron has to comply, it makes the management of the blast furnace easier, and thus lessens the danger of making " misfit " pig iron, i.e.
The success of this first experiment encouraged the emperor to attempt the more difficult enterprise of simplifying and digesting the older law contained in the treatises of the jurists.
Hope dealing elements of disease, with its first beginnings; and in the field of therapeutics, chemical and biological experiment, as in the case of digitalis, mercury and the iodides, was rapidly simplifying remedies and defining their virtues, so that these agents could be used at the bedside with more precision.
As far as the order to which he carried the approximations - which, however, were based on a simplifying hypothesis that the molecules influenced each other through mutual repulsions inversely as the fifth power of their distance apart--the result was that the equations of motion of the gas, considered as subject to viscous and thermal stresses, could be satisfied by a state of equilibrium under a modified internal pressure equal in all directions.
These two simplifying facts bring the properties of the gaseous state of matter within the range of mathematical treatment.
For the purpose of thus simplifying the operations of arithmetic, the base is taken to be Io, and use is made of tables of logarithms in which the values of x, the logarithm, corresponding to values of m, the number, are tabulated.