Constructing a concept image of convergence of sequences in the van Hiele framework

2006 ◽  
pp. 61-98 ◽  
Author(s):  
Maria Navarro ◽  
Pedro Carreras
Keyword(s):  
Concept Image ◽  
Van Hiele ◽  
Convergence Of Sequences

Lacunary ideal convergence in measure for sequences of fuzzy valued functions

2021 ◽  
Vol 40 (3) ◽  
pp. 5517-5526
Author(s):  
Ömer Kişi
Keyword(s):  
Measure Space ◽  
Finite Measure ◽  
Ideal Convergence ◽  
Convergence In Measure ◽  
Ideal Form ◽  
Measurable Functions ◽  
Finite Measure Space ◽  
Convergence Of Sequences

We investigate the concepts of pointwise and uniform I θ -convergence and type of convergence lying between mentioned convergence methods, that is, equi-ideally lacunary convergence of sequences of fuzzy valued functions and acquire several results. We give the lacunary ideal form of Egorov’s theorem for sequences of fuzzy valued measurable functions defined on a finite measure space ( X , M , μ ) . We also introduce the concept of I θ -convergence in measure for sequences of fuzzy valued functions and proved some significant results.

scholarly journals The square as a figural concept

2014 ◽  
Vol 28 (48) ◽  
pp. 430-448 ◽  
Author(s):  
Helena Bezgovšek Vodušek ◽  
Alenka Lipovec
Keyword(s):  
Problem Solving ◽  
Elementary Teachers ◽  
Thematic Analysis ◽  
Qualitative Methodology ◽  
Concept Image ◽  
Formal Definition ◽  
Essential Component

In the geometry research we operate with mental entities, which contain an image as an essential component. This helps us in thinking, but it often does not coincide with the formal definition. In many cases, flat shapes are represented only with a curve, a boundary, and not as a part of the plane, which can lead to a false conception of flat shapes. The purpose of the research was to clarify pre-service elementary teachers' (N=186) concept image in the case of a square, whether it is hollow or filled, and what role it plays in problem solving. Qualitative methodology, specifically thematic analysis, was used in order to analyze participants' responses to a specially designed task. Only a very small part of participants gave expected answers. The results showed that the pre- service teachers' image of a square as a frame totally dominated the conceptual part of the figural concept of a square.

Summability methods and negatively associated random variables

2004 ◽  
Vol 41 (A) ◽  
pp. 231-238
Author(s):  
N. H. Bingham ◽  
H. R. Nili Sani
Keyword(s):  
Random Variables ◽  
Associated Random Variables ◽  
Negatively Associated ◽  
Summability Methods ◽  
Negatively Associated Random Variables ◽  
Convergence Of Sequences

The paper studies convergence of sequences of negatively associated random variables under various summability methods. The results extend previously known results for independence and complement known results forϕ-mixing.

scholarly journals On Weak Contractive Cyclic Maps in Generalized Metric Spaces and Some Related Results on Best Proximity Points and Fixed Points

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
M. De la Sen
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Nonempty Intersection ◽  
Generalized Metric Spaces ◽  
Best Proximity Points ◽  
Generalized Metric ◽  
Cyclic Maps ◽  
Convergence Of Sequences ◽  
Composite Maps ◽  
Decreasing Functions

This paper discusses the properties of convergence of sequences to limit cycles defined by best proximity points of adjacent subsets for two kinds of weak contractive cyclic maps defined by composite maps built with decreasing functions with either the so-calledr-weaker Meir-Keeler orr,r0-stronger Meir-Keeler functions in generalized metric spaces. Particular results about existence and uniqueness of fixed points are obtained for the case when the sets of the cyclic disposal have a nonempty intersection. Illustrative examples are discussed.

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