Judul: Kajian Daya Dukung Lingkungan Berbasis Neraca Air di Kabupaten Serang, Banten
Abstrak: In the Spatial Planning Document (RTRW), environmental sustainability is one of the important principles. The assessment of environmental carrying capacity in Kabupaten Serang conducted to describe the condition of the environment, especially on water resources. The analysis of environmental carrying capacity of water resource aspectsconducted through four hierarchy includes the status of environmental carrying capacity based on water balance, agroclimate resources assessment, water supply potential analysis, and assessment of water resource degradation indicators. The purpose of this research is analyzing the four hierarchical of environmental carrying capacity based on water balance in Serang and to assess the environmental charges in Serang spatial planning documents based on water balance analysis. Supply-demand ratio obtained that the status of Serang environmental carrying capacity is on conditional sustain with the rate ratio is 1.15. Serang classified to the type of agro-climatic Oldeman B2. The results of the water balance analysis showed that in July-September there are rainfall deficits, wich is 11 mm/month, 64 mm/month, and 35 mm/month and rainfall surpluses occur from November to June. The runoff and recharging groundwater contained in the span of October to June. The minimum proportion of forest area is 30 %, and ideal is 45%. The availability of surface water from Ciujung river can still meet the total requirement of water per month in Serang.
Keyword: water balance, recharging groundwater, runoff, environmental carrying capacity

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
Keyword: