scholarly journals On rough convergence variables of triple sequences

2018 ◽  
Vol 22 ◽  
pp. 01059
Author(s):  
M. Kemal Ozdemir ◽  
Ayhan Esi ◽  
Ayten Esi

Triple sequence convergence has an extremly important position in the basic theory of mathematics. The present manuscript contains four types of convergence concept of convergence almost surely, convergence incredibility, trust convergence in mean and convergence in distribution and discuss the relation ship among those and some mathematical properties of those new convergence.

Analysis ◽  
2020 ◽  
Vol 40 (2) ◽  
pp. 85-88
Author(s):  
Nagarajan Subramanian ◽  
Ayhan Esi

AbstractTriple sequence convergence plays an extremely important role in the fundamental theory of mathematics. This paper contains four types of convergence concepts, namely, convergence almost surely, convergence incredibility, trust convergence in mean, and convergence in distribution, and discuss the relationship among them and some mathematical properties of those new convergence.


2020 ◽  
Vol 16 (03) ◽  
pp. 447-459 ◽  
Author(s):  
Debasish Datta ◽  
Binod Chandra Tripathy

Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the convergence concepts of convergence almost surely (a.s.), convergence in measure, convergence in mean, convergence in distribution and convergence uniformly almost surely complex uncertain double sequences. In addition, relationships among the introduced classes of sequences have been introduced.


2017 ◽  
Vol 13 (03) ◽  
pp. 359-374 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Pankaj Kumar Nath

Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely (a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely (u.a.s.) In addition, decomposition theorems and relationships among them are discussed.


2013 ◽  
Vol 2 (2) ◽  
pp. 10
Author(s):  
Vira Agusta ◽  
Dodi Devianto ◽  
Hazmira Yozza

Let fXng be a sequence of random variable dened on a probability space ( ; F; P). In this paper, we studied about the relationship between the convergence almost surely, convergence in probability, and convergence in distribution. If the sequenceof random variable convergence almost surely to a random variable X then fXng convergence in probability to X. If the sequence of random variable fXng convergence in probability to a random variable X then fXng convergence in distribution to X.


2012 ◽  
Vol 45 (2) ◽  
Author(s):  
Wojciech Niemiro ◽  
Ryszard Zieliński

AbstractConvergence in distribution, convergece in probability, and convergence almost surely,


Author(s):  
Shyamal Debnath ◽  
Bijoy Das

Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. The main purpose of this paper is to introduce rough convergence of complex uncertain sequences and study some convergence concepts namely rough convergence in measure, rough convergence in mean, rough convergence in distribution of complex uncertain sequences. Lastly some relationship between them have been investigated.


2015 ◽  
Vol 69 (8) ◽  
pp. 799-808
Author(s):  
Makoto Iwasaki
Keyword(s):  

2020 ◽  
Vol 17 (2) ◽  
pp. 383-408
Author(s):  
Mahmudah Nur

This paper is the result of research on the exploration of the work of scholars (ulama) in Banten Province. The focus of this study is on the ability of Abuya Muqri in the field of religion and magic as one of the symbols of the leadership of a Kiai in the Banten region.  The philology approach was used in this study to examine the authenticity of the text. As for analyzing the content of the text that is associated with this research issue, the author uses the sociological knowledge and intertextual approach to see the consistency and relationships of Abuya Muqri's thoughts or ideas in his writing, namely the Abuya Muqri’s diary as a leadership concept in the Banten region. This study shows that abilities in religion and magic are the most important indicators for clerics in the Banten region. Without both, the clerics have no important position in the Banten community. With the ability of religion and magic (the wisdom of wisdom) written in Naskah Catatan Harian Abuya Muqri, Abuya Muqri was successfully recognized as one of the famous Kiai in Banten and made it a knot of wisdom in Banten in the 20th century.Keywords: Leadership, Abuya Muqri, Religion, Magi and Abuya Muqri Daily Record Manuscripts (NHCAM) Tulisan ini merupakan hasil penelitian mengenai eksplorasi karya ulama di Provinsi Banten. Kajian ini berfokus pada kemampuan Abuya Muqri dalam bidang agama dan magi sebagai salah satu simbol ke­pemimpinan seorang kiai di wilayah Banten. Pendekatan filologi diguna­kan dalam kajian ini untuk memeriksa otentisitas teksnya. Adapun untuk menganalisis isi teksnya yang dikaitkan dengan isu penelitian ini, penulis menggunakan pendekatan sosiologi pengetahuan serta intertekstual untuk melihat konsistensi dan hubungan-hubungan pemikiran atau ide Abuya Muqri dalam karya tulisnya, yaitu naskah buku catatan harian Abuya Muqri sebagai sebuah konsep kepemimpinan di wilayah Banten. Kajian ini menunjukkan bahwa kemampuan dalam agama dan magi menjadi indikator paling penting bagi para kiai di wilayah Banten. Tanpa kedua­nya, para kiai tidak mempunyai kedudukan yang penting dalam masyarakat Banten. Dengan kemampuan agama dan magi (ilmu hikmah) yang tertulis dalam Naskah Catatan Harian Abuya Muqri, Abuya Muqri berhasil diakui sebagai salah satu kiai yang terkenal di Banten dan menjadikannya sebagai simpul ilmu hikmah di Banten pada abad ke-20.Kata kunci: Kepemimpian, Abuya Muqri, Agama, Magi dan Naskah Catatan Harian Abuya Muqri (NCHAM)


Author(s):  
Shohei Morisawa ◽  
Shohei Morisawa ◽  
Yukio Komai ◽  
Yukio Komai ◽  
Takao Kunimatsu ◽  
...  

The northern Shikoku region is located in the Western part of Japan and faces towards the Seto Inland Sea. The forest area, which is one of the non-point sources in the Seto Inland Sea watershed, occupies 75% of the land use in the watershed of the northern Shikoku region. The amount of loadings of nutrients and COD in the Seto Inland Sea has been estimated by the unit load method but actually the data has not been investigated. It is however, necessary to know the real concentration of nitrogen in mountain streams to evaluate the role which is the mountain area plays as non-point sources. Therefore, more water samples of mountain streams in the watershed need to be taken and the concentrations of nitrogen analyzed. The mountain streams in the northern Shikoku area were investigated from April, 2015 to November, 2015. The number of sampling sites was 283, in addition to the past data by Kunimatsu et al. The average concentration of nitrate nitrogen in Ehime, Kagawa, and Tokushima was 0.61mg/L, 0.78mg/L and 0.34mg/L, respectively. The environmental standard range for nitrogen in the Seto Inland Sea is from between less than 0.2mg/L and less than 1mg/L. Therefore, the average concentration of nitrogen in these regions was over category II, and those of mountain streams in Kagawa Prefecture exceeded category III. About 20% of mountain streams were more than 1mg/L. It has become clear that mountain areas occupy an important position as non-point sources for the Seto Inland Sea.


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