Scientific Research Publishing

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45302#.VL3_FSzQrzE Author(s)    Mirella Forsberg Ahlcrona , Ingrid Pramling Samuelsson Affiliation(s) School of Health and Education, University of Sk?vde, Sk?vde, Sweden . Department of Education, Communication and Learning, University of Gothenburg, Gothenburg, Sweden . ABSTRACT This article describes how children learn to distinguish variations of the concept balance when they have different kinds of experiences of feeling, making and creating balance. The focus of the study is how children in preschool develop the ability to think logically and creative by exploring balance as phenomena in everyday life. Empirical data were collected in two preschool groups with children that were 3 - 5 years old. By following the process the results show that children and teachers increased their awareness and developed an understanding of balance, its meaning and...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50292#.VDSRfVfHRK0 Author(s)   Azer Akhmedov , Warren Shreve Affiliation(s) Department of Mathematics, North Dakota State University, Fargo, ND, USA . ABSTRACT We prove that a random labeled (unlabeled) tree is balanced. We also prove that random labeled and unlabeled trees are strongly k -balanced for any k ≥ 3. Definition : Color the vertices of graph G with two colors. Color an edge with the color of its endpoints if they are colored with the same color. Edges with different colored endpoints are left uncolored. G is said to be balanced if neither the number of vertices nor and the number of edges of the two different colors differs by more than one. ...