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In short, 'sovereignty was not in its nature an idea of abstract unity; but was capable of great complexity and infinite modifications.' (SSC, W & S 1981-, 1981-,93).
If you get into it, there are infinite modifications that can be done to make your car better and safer on the track; among the most important are better suspensions (these are typically HUGE performance upgrades), safety restraint harnesses, tires, brakes, fire extinguisher assemblies, roll bars/cages and seats.
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Whether Burke's 'infinite modifications' would have assisted in keeping the thirteen colonies within the fold of the British empire is unknowable, for nothing like his proposals were tried until 1778, which was too late.
Malebranche claims that the idea of the infinite cannot be a modification of our mind, for our mind is finite; it can only reside in God, the sole infinite being.
In the present paper the wave envelope idea is extended by the inclusion of an element mapping, taken directly from infinite element methodology, and by modifications to the residual formulation.
The bond graph methodology is used in order to characterize the structure of non square models, and the modification of the infinite structure that arises when a regular control law cannot exist.
The actual construction of the Szász-Mirakyan operators and its various modifications require estimations of infinite series which, in a certain sense, restrict their usefulness from the computational point of view.
Generally speaking, Algorithms 3.1 and 3.3 have only the weak convergence in the frame work of infinite-dimensional spaces, and therefore the modifications of Algorithms 3.1 and 3.3 are needed in order to realize the strong convergence.
(54) and (55) could be formally introduced into the LSLE-GN framework of Eq. (6), with the modification of an additional infinite variance term in the covariance to account for high degree/order lithospheric systematic bias in the vector summations.
The feasibility of structural modification is examined under the restrictions of structural modifications in the case where infinite many exact modifications can exist.
Moreover, he constructed a counterexample which shows that the algorithm (1.3) does not converge in norm in an infinite-dimensional space and also presented two modifications of GPA which are shown to have strong convergence [20, 21].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com