Sentence examples for a concept of lower from inspiring English sources

The Advaita Vedanta of Shankara rejects atheism in order to prove that the world had its origin in a conscious, spiritual being called Ishvara, or God, but in the long run regards the concept of Ishvara as a concept of lower order that becomes negated by a metaphysical knowledge of brahman, the absolute, nondual reality.

In this case, they define a concept of lower and upper solutions in which some kind of angles are allowed.

Firstly, we introduce a new concept of lower and upper solutions.

On the other hand, in [6] while examining KKM maps, the authors introduced a new concept of lower (upper) semicontinuous function (see Definition 2.1, Section 2) which is more general than the classical one.

The purpose of this paper is to introduce a concept of T f -orbitally lower semi-continuous mappings which is more general than the concept of T-orbitally lower semi-continuous mappings and continuous mappings and also prove Mizoguchi-Takahashi's type coincidence point theorems by using this concept.

This property can be considered as a weakening of the concept of lower bound introduced by Moulin (2002).

Klingman: Well, it just is the concept of lower, lower price in a recession.

It is possible to generalize further the concept of lower and upper solutions, as a piecewise continuous lower solution is a particular case of a bounded variation function that has a nonincreasing singular part.

In this paper we shall introduce the concept of lower MBV-convergence, i.e., a lower spring ordered transversal space (X:= X,preccurlyeq,A)) satisfies the condition of lower MBV-convergence (i.e., lower MBV-completeness) if every decreasing sequence of iterates ({f^{n}(x)}_{ninBbb{N}cup{0}}) in X is bounded.

In connection with the above, we shall introduce the concept of lower MCS-convergence, i.e., a lower spring ordered transversal space satisfies the condition of lower MCS-convergence (i.e., lower MSC-completeness) iff (xin X) and if (A(f^{n}(x),f^{n+1}(x to b) ((ntoinfty)) implies that ({f^{n}(x)}_{ninBbb{N}cup{0}}) is bounded X.

In 1986 we investigated the concept of lower spring ordered TCS-convergence in a space X, i.e., a lower spring ordered transversal space (X:= X, A)) satisfies the condition of lower spring ordered TCS-convergence iff (xin X) and if (A(T^{n} (x), T^{n+1}(x)) to b) ((ntoinfty)) implies that ({T^{n} (x)}_{ninBbb{N}}) has a convergent subsequence in X, see Tasković [5].