scholarly journals THE MALLIAVIN DERIVATIVE FOR G ENERALIZATION OF FRACTIONAL BESSEL TYPE PROCESS

2021 ◽  
Vol 226 (06) ◽  
pp. 105-111
Author(s):  
Vũ Thị Hương

Bài báo này xem xét một dạng tổng quát của quá trình Bessel phân thứ. Đây cũng là một dạng thuộc lớp các phương trình vi phân ngẫu nhiên kỳ dị xác định bởi chuyển động Brown phân thứ đã được nghiên cứu bởi một số tác giả. Với một số giả thiết của các hệ số, phương trình này có nghiệm duy nhất dương. Mục đích chính của bài báo là đưa ra công thức của đạo hàm Malliavin cho quá trìnhnày. Tính toán Malliavin được sử dụng cho phương trình vi phân ngẫu nhiên xác định bởi chuyển động Brown phân thứ. Chúng ta nhận được đạo hàm Malliavin cho quá trình này là một hàm mũ của đạo hàm của hệ số dịch chuyển. Kết quả này rất hữu ích khi đánh giá moment ngược của nghiệm. Từ đó chúng ta có thể đánh giá tốc độ hội tụ của nghiệm xấp xỉ trong Lp.

2020 ◽  
Vol 3 (2) ◽  
Author(s):  
HARNITA HARNITA ◽  
H. Anwar ◽  
Pendais Hak

ABSTRAK: Tujuan utama dalam penelitian ini mengetahui  latar belakang pelaksanaan kegiatan Ritual dalam Tradisi Pertanian (Galu) pada Masyarakat Desa Bone Tondo Kecamatan Bone Kabupaten Muna, mendeskripsikan ritual-ritual apa saja yang dilakukan dalam pelaksanaan kegiatan ritual dalam Tradisi Pertanian (Galu) pada Masyarakat Desa Bone Tondo Kecamatan Bone Kabupaten Muna, mendeskripsikan proses kegiatan ritual dalam Tradisi Pertanian pada Masyarakat Desa Bone Tondo Kecamatan Bone Kabupaten Muna dan mendeskripsikan perubahan yang terjadi saat ini dalam proses Ritual dalam Tradisi Pertanian (Galu) pada Masyarakat Desa Bone Tondo Kecamatan Bone Kabupaten Muna. Metode yang digunakan dalam penelitian ini adalah metode sejarah menurut Helius Sjamsuddin yang terdiri atas: (1) Heuristik (pengmpulan sumber), (2) Kritik sumber (verifikasi), (3) Historiografi (penulisan sejarah).Hasil penelitian menunjukan bahwa: (1) Latar belakang pelaksanaan ritual dalam tradisi pertanian pada masyarakat Desa Bone Tondo adalah dalam bercocok tanam (degalu) masyarakat Desa Bone Tondo memiliki keyakinan bahwa hutan di Muna banyak dihuni oleh makhluk ghaib yang berpotensi mengganggu kehidupan masyarakat. Maka secara intensif masyarakat melakukan hubungan komunikasi dengan melalui upacara yang tradisional yang dimana harus dilakukan sebelum bercocok tanam. Dengan maksud mendapatkan keselamatan dalam kegiatan perladangan terhindar dari marabahaya serta hasil panen yang melimpah. Ritual dilakukan karena adanya pantangan dan larangan yang apabila jika tidak dipatuhi akan menimbulkan dampak negatif. (2) Ritual-Ritual yang dilakukan dalam Tradisi Pertanian (Galu) pada Masyarakat Desa Bone Tondo ritual pembukaan lahan kawasan hutan baru yaitu desolo. Ritual kaago-ago yang dilakukan saat lahan sudah bersih dan siap untuk ditanamkan, ritual dilakukan untuk memindahkan makhluk ghaib, permohonan dan sebagai rasa syukur. Ritual kasambuno wite (deghoti wite) dan ritual kafematai, (3) Proses pelaksanaan Ritual dalam Tradisi Pertanian (Galu) pada Masyarakat Desa Bone Tondo yaitu semua proses ritual dilakukan pada hari baik yang dipimpin oleh dukun (parika), menyiapkan alat dan bahan (sesajian) yang dibutuhkan tiap-tiap upacara ritual yang akan dilaksanakan. (4) Perubahan yang terjadi saat ini dalam proses pelaksanaan Ritual dalam Tradisi Pertanian (Galu) pada masyarakat Desa Bone Tondo, dapat dilihat pada ritual kaago-ago, dimana saat ini sabagian ritual tersebut tidak lagi dijalankan. Perubahan-perubahan lain adalah terkait dengan konsistensi ritual yang sebagian masih ada yang melakukan secara utuh namun ada juga yang hanya menjalankan 2 atau 3 ritual saja. Kata Kunci: latarbelakang, jenis, proses dan perubahan, galu ABSTRACT: The main objective in this study is to find out the background of the implementation of Ritual activities in the Agricultural Tradition (Galu) of the Bone Tondo Village Community, Bone District of Muna District, describing the rituals performed in the implementation of ritual activities in the Agricultural Tradition (Galu) of the Village Community Bone Tondo, Bone District, Muna Regency, describes the process of ritual activities in the Agricultural Tradition of the Bone Tondo Village Community, Bone District Muna District and describes the changes that occur currently in the Ritual process in the Agricultural Tradition (Galu) of the Bone Tondo Village Community, Bone District, Muna Regency. The method used in this study is the historical method according to Helius Sjamsuddin which consists of: (1) Heuristics (collection of sources), (2) Criticism of sources (verification), (3) Historiography (history writing). The results of the study show that: (1 ) The background of ritual implementation in the agricultural tradition of the Bone Tondo Village community is in farming (degalu). Bone Tondo Village community has the belief that the forests in Muna are inhabited by unseen creatures that have the potential to disrupt people's lives. So the community intensively communicates through traditional ceremonies which must be carried out before planting. With the intention of obtaining safety in farming activities to avoid danger and abundant harvests. The ritual is carried out because of restrictions and prohibitions which if not obeyed will cause a negative impact. (2) Rituals carried out in the Agricultural Tradition (Galu) of the Bone Tondo Village Community in the ritual of opening a new forest area, namely desolo. Kaago-ago rituals are carried out when the land is clean and ready to be planted, rituals are performed to remove supernatural beings, requests and as gratitude. Kasambuno wite rituals (deghoti wite) and kafematai rituals, (3) The process of implementing Rituals in the Agricultural Tradition (Galu) of the Bone Tondo Village Community, namely all ritual processes carried out on a good day led by a shaman (parika), preparing tools and materials (offerings) ) required each ritual ceremony that will be carried out. (4) Changes that occur at this time in the process of carrying out the Ritual in the Agricultural Tradition (Galu) of the Bone Tondo Village community, can be seen in the kaago-ago ritual, where at present the ritual portion is no longer carried out. Other changes are related to the consistency of the ritual, some of which still do the whole, but there are also those who only carry out 2 or 3 rituals. Keywords: Background, type, process and change, galu


2015 ◽  
Vol 36 (3) ◽  
pp. 579-594 ◽  
Author(s):  
Binbin Xu ◽  
Sabir Jacquir ◽  
Gabriel Laurent ◽  
Stéphane Binczak ◽  
Oriol Pont ◽  
...  

1977 ◽  
Vol 50 (4) ◽  
pp. 704-713 ◽  
Author(s):  
M. A. Golub ◽  
M. L. Rosenberg ◽  
R. V. Gemmer

Abstract The microstructural changes which occur in cis- and trans-1,4-polyisoprenes and in squalene during photosensitized oxidation were investigated with the aid of infrared and proton and carbon-13 NMR spectroscopy. The singlet oxygenation of these isoprenic compounds resulted in allylic hydroperoxides with shifted double bonds, according to the expected “ene”-type process. In contrast to trans-1,4-polyisoprene and squalene, which displayed the three possible double bond shifts, cis-1,4-polyisoprene showed essentially two of the shifts (to di- and trisubstituted double bonds) and very little of the third (to exomethylene groups). A suitable measure of the extent of hydroperoxidation was afforded by the absorbance ratio, A3400/A1440≡A′. Similar correlations of A′ with oxygen uptake were obtained for the three isoprenic compounds, using chlorophyll or methylene blue as sensitizer. The use of rose bengal gave erratic results indicative of some autoxidation accompanying the hydroperoxide formation. The singlet oxygenation followed zero-order kinetics, the relative rates for cis- and trans-1,4-polyisoprenes being approximately 1.0:1.5.


2018 ◽  
Vol 71 (9) ◽  
pp. 697
Author(s):  
Carlie L. Charron ◽  
Jade M. Cottam Jones ◽  
Craig A. Hutton

The condensation of N-mercaptomethyl amines and thioesters is a potential route to amides, via aminomethyl thioester intermediates, in a native chemical ligation type process followed by self-cleavage of the ‘mercaptomethyl’ auxiliary. This paper describes investigations towards the preparation of aminomethyl thioesters, and subsequent conversion into amides, from a three-component coupling of formaldehyde, a thioacid, and an amine. Our studies suggest that while such intermediates may be formed en route to amides, no advantages are offered over the direct reaction of the amine and thioacid precursors.


2021 ◽  
Vol 403 ◽  
pp. 123949
Author(s):  
Thayrine Dias Carlos ◽  
Leydiane Barbosa Bezerra ◽  
Mayane Marques Vieira ◽  
Renato Almeida Sarmento ◽  
Douglas Henrique Pereira ◽  
...  
Keyword(s):  

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