Add to ORKGBased on collection of bijections, variable and function are extended into ``isomorphic variable'' and ``dual-variable-isomorphic function'', then mean values such as arithmetic mean and mean of a function are extended to ``isomorphic means''. 7 sub-classes of isomorphic mean of a function are distinguished. Comparison problems of isomorphic means are discussed. A sub-class(class V) of isomorphic mean of a function related to Cauchy mean value is utilized for generation of bivariate means e.g. quasi-Stolarsky means. Demonstrated as an example of math related to ``isomorphic frames'', this paper attempts to unify current common means into a better extended family of means.Comment: 4 illustrations. Keywords: Isomorphic frame; Dual-variable-is...
Some sort of "morphisms" is defined from very basic mathematical objects such as sets, functions, an...
We define a fragment of propositional logic where isomorphic propositions, such as A wedge B and B w...
Many models of the mind, both philosophical and psychological, invoke the mathematician\u27s concept...
The generalized mean M(x,y) is defined to be Ψ-1 [pΨ (x) + aΨ (y)] where p, a\u3e0, p + a = 1 and Ψ ...
Solutions to the functional equation f(x+y)−f(x)−f(y)=2f(Φ(x,y)),x,y>0, are sought for the admis...
In this article, the author introduces the generalized abstracted mean values which extend the conce...
On elementary equivalence, isomorphism and isogeny par Pete L. CLARK Résumé. Motive ́ par un trava...
The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of...
Isomorphism: Initially referring to the structuralist, in particular glossematic, hypothesis that th...
Every student of elementary mathematics is acquainted with the concepts of the arithmetic mean, the ...
In this paper we give a variant of Jessen's inequality for isotonic linear functional. Our results g...
Given two functions f, g : I -> R and a probability measure mu on the Borel subsets of [0, 1], the t...
We establish in this article a formula which will allow to classify isometries as well as partial is...
Abstract. The extended mean values E(r, s;x, y) play an important role in theory of mean values and ...
The zeta function of a number field can be interpreted as the partition function of an associated qu...
Some sort of "morphisms" is defined from very basic mathematical objects such as sets, functions, an...
We define a fragment of propositional logic where isomorphic propositions, such as A wedge B and B w...
Many models of the mind, both philosophical and psychological, invoke the mathematician\u27s concept...
The generalized mean M(x,y) is defined to be Ψ-1 [pΨ (x) + aΨ (y)] where p, a\u3e0, p + a = 1 and Ψ ...
Solutions to the functional equation f(x+y)−f(x)−f(y)=2f(Φ(x,y)),x,y>0, are sought for the admis...
In this article, the author introduces the generalized abstracted mean values which extend the conce...
On elementary equivalence, isomorphism and isogeny par Pete L. CLARK Résumé. Motive ́ par un trava...
The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of...
Isomorphism: Initially referring to the structuralist, in particular glossematic, hypothesis that th...
Every student of elementary mathematics is acquainted with the concepts of the arithmetic mean, the ...
In this paper we give a variant of Jessen's inequality for isotonic linear functional. Our results g...
Given two functions f, g : I -> R and a probability measure mu on the Borel subsets of [0, 1], the t...
We establish in this article a formula which will allow to classify isometries as well as partial is...
Abstract. The extended mean values E(r, s;x, y) play an important role in theory of mean values and ...
The zeta function of a number field can be interpreted as the partition function of an associated qu...
Some sort of "morphisms" is defined from very basic mathematical objects such as sets, functions, an...
We define a fragment of propositional logic where isomorphic propositions, such as A wedge B and B w...
Many models of the mind, both philosophical and psychological, invoke the mathematician\u27s concept...