Sentence examples for according to necessary from inspiring English sources

The computational complexity of the proposed fast DVC and the existing typical DVC algorithms are first analyzed quantitatively according to necessary arithmetic operations.

And then we present a new (strongly or ε-strongly) local optimization method according to necessary global optimality conditions, which may escape and improve some KKT points.

The idea of the form of a whole of knowledge is thus said to postulate "complete unity in the knowledge obtained by the understanding, by which this knowledge is to be not a mere contingent aggregate, but a system connected according to necessary laws" (A646/B676).

It is a descendent of Kant's claim examined in Section 1 that unified consciousness requires conceptual interconnectedness in the objects of consciousness; as he put it, "all appearances stand in a thoroughgoing connection according to necessary laws, and hence stand in a transcendental affinity of which the empirical affinity is the mere consequence" (1781/1787, A113 114).

Affective engagement and understanding of our human nature is, according to Easterlin, necessary to promote environmental concern.

A political authority thus justified is, according to Simmons, necessary but not sufficient for political legitimacy, and hence for generating obligations.

26 27 The classification score classifies complications according to the necessary treatment, which prevents an individual evaluation of the patient.

All contingent properties are accidents and all essences are necessary but, according to the Aristotelian, some necessary properties are accidents.

Such an attitude, according to Collier, is necessary in order to understand that everything exists only by way of its dependence on the one supreme substance, God.

A cutting off according to time is necessary.

According to (9), this necessary condition is mathematically equivalent to [38]: (21).