sufficient condition

sufficient condition

[sə¦fish·ənt kən′dish·ən]
(mathematics)
A mathematical statement whose truth suffices to assure the truth of a given statement.
References in classic literature ?
This certainly proves that the brain plays an essential part in the causation of memory, but does not prove that a certain state of the brain is, by itself, a sufficient condition for the existence of memory.
As the Latin maxim said that the law was written on sleeves of the judges, competence was a necessary but not sufficient condition to be a good judge, the letter says, adding that juristic ability, temperament, sense of responsibility and above all sense of justice and fairness were a few other pre-requisites for becoming a judge.
However, achieving it is a necessary but not sufficient condition to prevent malnutrition and ensure adequate nutrition for all.
Roads alone are not a sufficient condition for poverty reduction.
The archives of the state, as well as other archives such as the Army Archive, do not initiate the disclosure of material, and the end of a period of confidentiality is not a sufficient condition for disclosure of material to the public.
Either way, the researchers determined that "belief in climate change does not appear to be a necessary or sufficient condition for pro-environment behavior." Meaning that for those looking to increase use of reusable bags and public transportation, climate warriors might be the most important people to target.
However, the "more concave" condition is often too restrictive, and the diffidence theorem provides the right necessary and sufficient condition for property (1).
For sufficient condition for l-w minimal solution of problems ([SP.sub.1]) and ([SP.sub.2]), we need certain convexity assumptions which are taken from [3,4].
The IF has to fulfill at least the sufficient condition of Theorem 2.
We derive a new sufficient condition for checking the robust asymptotical stabilization of uncertain descriptor fractional-order systems with the fractional-order a satisfying 1 [less than or equal to] [alpha] < 2, in terms of LMIs.
Finding the extent legal frameworks to be a necessary but not sufficient condition, he argues that the grey zone between slavery and decent work is more complex than the capitalist system is able or willing to recognize, let alone address.
For example, [6] derived a necessary and sufficient condition for exponential stability of such positive systems with the homogeneity of a degree of one.