Sentence examples for necessary for solution from inspiring English sources

The creation of a set of axioms and hypotheses necessary for solution of a given problem is equivalent to the creation of some particular axiomatic theory.

However, the data about many SNPs and their associations with different types of cancer are conflicting, and further large, well-designed, comprehensive studies in various populations are necessary for solution of this problem.

The multiplicity characteristics of the problem depend strongly on the interplay of the three chemical reactions, but the occurrence of the heterogeneous reaction of CO2 with carbon is not necessary for solution loci with five steady states to occur.

This devolution of power is appropriate and necessary for solutions to the complex circumstances that created the disparities that exist, and enables Indigenous and non-Indigenous people to come together as 'individuals, as a society and as a health system to form true and equitable partnerships' in the healing process [ 80]: 4980]

3, 155 160], who showed that the necessary conditions for solution uniqueness are a bounded displacement field and a bounded body-force field.

The tool, Sandmesh, is capable of automatically generating three-dimensional shell models of both honeycomb and folded structure cores, as well as applying the necessary controls for solution generation.

For the past 20 years, the official UN process has recognised the principle of 'common but differentiated responsibilities' which means that it is the prime responsibility of the rich countries that caused the problem to make the sacrifices necessary for a solution so that poor countries aren't made to pay for damage they haven't caused.

In Section 3, we consider linear problems and characterize the structure of boundary conditions necessary for the solution to be at least continuous on.

The complexity of the task of controlling breaking-up of train at the humps is connected with the fact that the values of the parameters wrr, wpr, wcr, and wew necessary for its solution are not exactly known.

The statement of Lemma 14 means that the conditions which are necessary for the solution of IVP (6) to be continuous are equivalent to rank M = rank H + rank N = rank Q = n − rank R. initial conditions, which the solution y has to satisfy.

One or several elements of the problem may be unknown, the same elements may be different in different context, there is uncertainty about the concepts necessary for a solution, the relationship between concepts and rules may be inconsistent between cases.