Judul: Kajian Daya Dukung Lingkungan Aspek Sumber Daya Air di Kabupaten Lebak
Abstrak: Development activities have affected many aspects that need to be considered , namely the physical, economic , social, cultural and environmental aspect. Environmental impacts happen, such as changes in the proportion of land cover, the increasing number of critical areas, watershed damage, changes in water storage capacity, changes in ecosystems and biodiversity. The purpose of this study was to analyze the environmental carrying capacity based on water resources, including the determination of the status of environmental carrying capacity, water supply potential analysis, climate resources for agriculture (agro-climatic) and assessment of water resource degradation indicators and to compare the results of the analysis to the environmental contents in RTRW Lebak Regency 2013-2033. Annual environmental capacity of Lebak is in a sustain condition, and discharge of Ciujung watershed can supply the water needs. Based on Oldeman method for agro-climatic, Lebak Regency is in C1 , C2 , D2 Zone, means Lebak can be planted with rice and corps. Based on the analysis on water balance, surplus rainfall is 217 mm and the deficit is 232 mm that occurred in May – November. Runoff and groundwater recharging are 102 mm and 115 mm. By simulating of the land composition, minimum area for forest is 30 %. Degradation of water quality in Lebak occured by flood. Recommended water resources conservation for flood and erosion prevention is terrace which is equipped with 1050 rorak that built in the plantation area.
Keyword: water resources, water balance, spatial planning document, environmental carrying capacity, agro-climatic

Judul: Kajian Daya Dukung Lingkungan Aspek Sumberdaya Air di Kabupaten Sukabumi, Jawa Barat
Abstrak: The spatial planning by the consideration of environmental capacity can be used as a guideliness for using the region space in accordance by the environmental functions and capabilitiesin order to reduce the improper utilization of spatial planning. The analysis of environmental carrying capacity of water resource aspect can be done through four hierarchy, includes the environmental capacity status based on the water balance, agricultural climate resources, the analysis of water supply potential, and the indicators of water resources degradation. The aim of this research is to analyze the four hierarchy of DDLwater in Sukabumi and to assess the environmental charge in the Spatial Planning Document (RTRW) of Sukabumi based on water balance analysis. The procedure of this research is by using the secondary data to be analyzed according to the four hierarchy. Based on the results the DDL-water status of Sukabumi in one year is safe, with B1 agroclimate type according to Oldeman classification. The water balance result in 2006 is showed the value of surplus is 1375 mm/year, 550 mm/year of runoff, and 825 mm/year of groundwater fulfillment.
Keyword: water resources, water balance, environtmental capacity

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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