Judul: Contribution of Nyarai Waterfall Nature Tourism in Nagari Forest to Community Income in Salibutan Village West Sumatera
Abstrak: Hutan nagari merupakan salah satu skema dari perhutanan sosial yang dapat dimanfaatkan jasa lingkungannya. Nagari Salibutan di Korong Gamaran, diusahakan Wisata Alam Air Terjun Nyarai. Pengelolaan Wisata Alam Air Terjun Nyarai bertujuan untuk mengurangi intensitas penebangan pohon secara ilegal, membuka lapangan pekerjaan, dan meningkatkan pendapatan masyarakat di sekitar hutan. Penelitian dilakukan pada bulan Mei 2021. Penelitian ini bertujuan untuk mendeskripsikan kelembagaan pengelolaan Wisata Alam Air Terjun Nyarai, kontribusinya terhadap pendapatan masyarakat, dampak social, dan kondisi hutan. Pengambilan data dilakukan dengan menggunakan kuesioner yang disampaikan kepada responden. Responden dipilih secara purposive (sengaja). Data dianalisis secara deskriptif. Hasil penelitian menunjukan bahwa, Wisata Alam Air Terjun Nyarai dikelola oleh kelompok sadar wisata (Pokdarwis) dibawah naungan Lembaga Pengelola Hutan Nagari (LPHN). Kelembagaan Wisata Alam Air Terjun Nyarai mencakup struktur organisasi dan aturan yang berperan untuk mewujudkan kelestarian hutan serta dapat meningkatkan kesejahteraan masyarakat. Kontribusi Wisata Alam Air Terjun Nyarai terhadap Hutan Gamaran ditandai dengan adanya program penghijauan, sehingga Hutan Gamaran dapat dipertahankan keberadaanya. Sedangkan kontribusi Wisata Alam Air Terjun Nyarai terhadap pendapatan masyarakat pada tahun 2018-2020 sebesar 7,79%. Kata Kunci : Hutan nagari, kelestarian hutan, pendapatan masyarakat, perhutanan sosial, wisata alam., Nagari forest is one of the social forestry schemes that can be utilized for its environmental services. The nagari forests of Salibutan in Korong Gamaran West Sumatera, has been utilized Nyarai Waterfall Nature Tourism. Management of Nyarai Waterfall Nature Tourism aims to reduce the intensity of illegal felling trees in the forest, to create jobs and increase income for the people living around the forest. The study was conducted in May 2021. This study aims to describe institution of Nyarai Waterfall Nature Tourism management, its contribution to community income, impact to social and forest conditions. Data collection was conducted by using questioners distributed to respondents. The respondents were selected purposively. Data were analyzed descriptively. The results showed that the Nyarai Waterfall Nature Tourism was managed by a tourism awareness group (Pokdarwis) under the auspices of the Nagari Forest Management Institute (LPHN). The institution of Nyarai Waterfall Nature Tourism includes organizational structure and rules for realizing forest sustainability and community welfare improvement. The contribution of Nyarai Waterfall Nature Tourism to the Gamaran Forest is marked by a reforestation program, so that the Gamaran Forest can be maintained. Meanwhile, the contribution of Nyarai Waterfall Nature tourism to community income in 2018-2020 is 7,79%. Keywords: Nagari forest, forest sustainability, community income, social forestry, nature tourism.
Keyword: Nagari forest, forest sustainability, community income, social forestry, nature tourism

Judul: The Role of Social Capital in the Nature Tourism Management on the Level of the Community Welfare (Case: Badega Gunung Parang, Cihuni, Sukamulya Village, Tegal Waru Sub-district, Purwakarta District, West Java)
Abstrak: Pengelolaan wisata alam tidak terlepas dari peran aktif masyarakat dalam upaya meningkatkan kesejahteraan hidup masyarakat. Kesejahteraan masyarakat merupakan gambaran hidup yang diinginkan oleh seluruh masyarakat dengan melakukan upaya-upaya perbaikan taraf hidup. Kemajuan wisata alam juga tidak lepas dari kepedulian masyarakat yang ada di kawasan wisata. Modal sosial dalam pengelolaan wisata alam berpengaruh terhadap kesejahteraan masyarakat. Modal sosial ini dapat dilihat dari kepercayaan (trust), norma (norm), dan jaringan (network). Modal sosial memiliki peran penting bagi keberlangsungan kawasan wisata alam karena tanpa adanya modal sosial maka pengelolaan kawasan wisata tidak akan bisa berkembang. Hasil penelitian menunjukkan bahwa terdapat perbedaan yang signifikan antara tingkat kesejahteraan masyarakat sebelum dan selama pandemi COVID-19. Selama pandemi COVID-19, masyarakat cenderung pasif dalam berbagai kegiatan pengelolaan wisata alam Badega Gunung sehingga berimbas pada tingkat kesejahteraan masyarakat., Natural tourism management can’t be separated from the active role of the community in an effort to improve the welfare of the community. Community welfare is a picture of life that is desired by all people by making efforts to improve the standard of living. The progress of natural tourism is also inseparable from the concern of the people in the tourist area. Social capital in natural tourism management affects the welfare of the community. This social capital can be seen from the trust, norm, and network. Social capital has an important role for the sustainability of natural tourism areas because without social capital the management of tourist areas will not be able to develop. The results showed that there was a significant difference between the level of community welfare before and during the COVID-19 pandemic. During the COVID-19 pandemic, people tend to be passive in various management activities of Badega Gunung natural tourism so that it has an impact on the level of community welfare.
Keyword: Community welfare, social capital, nature tourism

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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