REAL ANALYSIS AND DYNAMICS: TRAJECTORY OF THE TURNING POINT IS DENSE FOR A CO-σ-POROUS SET OF TENT MAPS

1998 ◽  
Vol 24 (1) ◽  
pp. 111
Author(s):  
Buczolich
2000 ◽  
Vol 165 (2) ◽  
pp. 95-123
Author(s):  
Karen Brucks ◽  
Zoltán Buczolich
Keyword(s):  

1996 ◽  
Vol 16 (6) ◽  
pp. 1173-1183 ◽  
Author(s):  
Karen Brucks ◽  
Michal Misiurewicz

AbstractWe prove that for almost every (with respect to the Lebesgue measure) a ∈ [√2, 2], the forward trajectory of the turning point of the tent map fa with slope a is dense in the interval of transitivity of fa.


1993 ◽  
Vol 19 (1) ◽  
pp. 15
Author(s):  
Brucks ◽  
Misiurewicz
Keyword(s):  

1999 ◽  
pp. 95
Author(s):  
Editorial board Of the Journal

In the 10th issue of the Bulletin “Ukrainian Religious Studies” in the rubric “Scientific Reports and Announcements” there are in particular the following papers: “Religious Studies and Theology” by A.Kolodny, “Activity of the Orthodox Mission in Ukraine on the Turning Point of the XIX-XXth Centuries” by G.Nadtoka, “Religion in the Spiritual Heritage of V.Lypinsky” by L.Kondratyk, “Church as a Factor of the Self-identification of the Nation in the Cultural and Civilization Environment” by O.Nedavnya, “The Problems of Development of The Social Teaching of the Catholicism” by V.Sergyiko, “The God-Thunder Perun in the Pagan World-outlook of the Ancient Rus’” by N.Fatyushyna and other papers


Author(s):  
Hanifah Nurus Sopiany

Penalaran matematis menggunakan pola pikir logis dalam menganalisa suatu masalah yang nanti pada akhirnya akan ditandai dengan aktivitas menyimpulkan atas masalah tersebut. Seseorang yang memiliki penalaran yang baik, tentunya akan berhati-hati dalam bertindak dan memutuskan sesuatu. Materi-materi pada kalkulus merupakan materi yang ada pada tingkat sekolah menengah yang nantinya menjadi lahan mengajar mahasiswa calon guru matematika S-1. Kemampuan penalaran yang dikaji mempengaruhi pembelajaran mahasiswa kedepannya karena berlaku pada matakuliah lanjut, contohnya pada kemampuan pembuktian akan selalu digunakan pada matakuliah persamaan diferensial, struktur aljabar, analisis  vektor, analisis real, dll. Sedangkan sebagai calon guru yang nantinya mengajar pada tingkat sekolah menengah, maka kemampuan penalaran ini menjadi salah satu capaian pembelajaran matematika bagi siswa sekolah menengah, maka oleh karena itu guru yang mengajarnya haruslah memiliki kemampuan penalaran yang baik. Analisis kesalahan sangat penting untuk melakukan evaluasi dan refleksi pada struktur soal maupun pada perlakuan dalam pembelajaran dalam upaya memperbaiki kemampuan penalarannya.   Mathematical reasoning uses a logical mindset in analyzing a problem that will eventually be marked by concluding activity on the problem. Someone who has good reason, will certainly be careful in acting and deciding something. The material content on the calculus is the material that exists at the secondary school level which will become the field of teaching the prospective master of math teacher bachelor. The reasoning ability studied influences student learning in the future as it applies to advanced courses, for example in the ability of proof will always be used in the course of differential equations, algebraic structure, vector analysis, real analysis, etc. While as a teacher candidate who will teach at the secondary school level, then this reasoning ability becomes one of the achievements of mathematics learning for high school students, therefore teachers who teach it must have good reasoning ability. Error analysis is very important to evaluate and reflect on the problem structure as well as on the treatment in learning in order to improve the reasoning ability.


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