Mathability and an animation related to a convex-like property

In connection with investigations related to mathability and to applications of computer assisted methods for studying mathematical problems, an animation of the m-convex hull of finite sets of points on the Cartesian plane is presented.

[1]  W. Fenchel Convexity Through the Ages , 1983 .

[2]  Attila Gilanyi,et al.  Solving systems of linear functional equations with computer , 2013, 2013 IEEE 4th International Conference on Cognitive Infocommunications (CogInfoCom).

[3]  Peter Baranyi,et al.  Mathability: Emulating and enhancing human mathematical capabilities , 2013, 2013 IEEE 4th International Conference on Cognitive Infocommunications (CogInfoCom).

[4]  Attila Házy Solving linear two variable functional equations with computer , 2004 .

[5]  Piroska Biro,et al.  The mathability of spreadsheet tools , 2015, 2015 6th IEEE International Conference on Cognitive Infocommunications (CogInfoCom).

[6]  On a generalization of the class of Jensen convex functions , 2016 .

[7]  Attila Gilanyi,et al.  Presentation of an animation of the m-convex hull of sets , 2016, 2016 7th IEEE International Conference on Cognitive Infocommunications (CogInfoCom).

[8]  Attila Gilányi Charakterisierung von monomialen Funktionen und Lösung von Funktionalgleichungen mit Computern , 1995 .

[9]  Sandor Czirbusz Regularity of functional equations and computer algebra systems , 2016, 2016 7th IEEE International Conference on Cognitive Infocommunications (CogInfoCom).

[10]  Zsolt Páles,et al.  Solving invariance equations involving homogeneous means with the help of computer , 2013, Appl. Math. Comput..

[11]  Zsolt Páles,et al.  Computer aided solution of the invariance equation for two-variable Gini means , 2009, Comput. Math. Appl..

[12]  Attila Gilányi,et al.  An Introduction to the Theory of Functional Equations and Inequalities , 2008 .

[13]  Marianna Torok,et al.  Foundations and perspectives of mathability in relation to the CogInfoCom domain , 2013, 2013 IEEE 4th International Conference on Cognitive Infocommunications (CogInfoCom).

[14]  Katarzyna Chmielewska,et al.  Mathability and computer aided mathematical education , 2015, 2015 6th IEEE International Conference on Cognitive Infocommunications (CogInfoCom).

[15]  Piroska Biro,et al.  Deep and surface metacognitive processes in non-traditional programming tasks , 2014, 2014 5th IEEE Conference on Cognitive Infocommunications (CogInfoCom).

[16]  Zsolt Páles,et al.  Computer aided solution of the invariance equation for two-variable Stolarsky means , 2010, Appl. Math. Comput..

[17]  Piroska Biro,et al.  The mathability of computer problem solving approaches , 2015, 2015 6th IEEE International Conference on Cognitive Infocommunications (CogInfoCom).

[18]  Adam Csapo,et al.  An outline of some human factors contributing to mathability research , 2014, 2014 5th IEEE Conference on Cognitive Infocommunications (CogInfoCom).

[19]  Sándor Czirbusz,et al.  Testing regularity of functional equations with computer , 2012 .

[20]  Peter Baranyi,et al.  An overview of research trends in CogInfoCom , 2014, IEEE 18th International Conference on Intelligent Engineering Systems INES 2014.