Judul: Pemilihan Nutrisi pada Kolam Aerasi Unit pengolahan Limbah Cair Menggunakan Perhitungan C, N dan P (Studi Kasus di PT.XXX)
Abstrak: In accordance with ongoing development of PT. XXX, various problems in waste water management has been appeared. One of them is the selection of nutrient that is the most suitable for generated liquid waste. The previous research had analyzed the characterization and optimation of waste water treatment based on aeration system. This research was conducted to select the nutrients that were most suitable to decrease organic content. The optimum dose of nutrition is necessary to optimise process of organic content degradation. Research results showed that nutrient samples 2 with the dose 500 mg/L also urea and NPK as 107.99mg/L and 127.5 mg/L resulted in the highest value of COD decrease, namely 86.52 %. Nutrient samples 2 showed the highest TSS decrease namely 70.09 %
Keyword: nutrients., aeration, liquid waste

Judul: Rancangan Instalasi Pengolahan Air limbah Industri dengan proses biologis Biological nutrient removal
Abstrak: Kegiatan industri yang menghasilkan limbah cair, berpotensi menimbulkan pencemaran air di lingkungan apabila tidak diolah dengan sesuai. Penelitian ini bertujuan menganalisis dan mengidentifikasi karakteristik limbah cair PT. W, membuat rancangan unit IPAL yang sesuai, serta menganalisis efektivitas penggunaan mikroba pada pengolahan biologis biological nutrient removal. Metode pengujian serta baku mutu yang digunakan adalah SNI pengujian air limbah, Peraturan Menteri Negara Lingkungan Hidup Nomor 03 Tahun 2010, dan Keputusan Gubernur DKI Jakarta No. 582 Tahun 2005. Hasil analisis menunjukkan bahwa nilai Total Suspended Solids (TSS), amonia (NH3), Biochemical Oxygen Demand (BOD), Chemical Oxygen Demand (COD), Sulfida (S), minyak dan lemak serta fecal coliform melampaui baku mutu sehingga perlu diolah lebih lanjut. Rancangan unit IPAL yang digunakan adalah bak ekualisasi, bak penampung, bar screen, grit chamber, sedimentasi primer, biological nutrient removal, clarifier, desinfeksi, sludge thickener, sludge digester, dan sludge drying bed. Biological nutrient removal merupakan unit pengolahan biologis suspended growth yang dipilih karena unit dapat dirancang untuk menurunkan nilai BOD, TSS, dan NH3 menjadi 10 mg/l, 10 mg/l, dan 1 mg/l. Tingkat efektivitas penggunaan mikroorganisme dalam unit ini dapat diketahui dari persen penurunan nilai parameter pencemar., Industrial activities that produces waste water, causes water pollution if it not treated properly. The research objectives were to analyze and identify PT. W wastewater characteristic, to design an appropriate WWTP of PT. W and analyze the effectiveness of microorganism at biological process biological nutrient removal. The method used was based on SNI of wastewater analyzing, Regulation of Minister of the Environment Number 03/2010, and DKI Jakarta‘s Governor Regulation Number 582/2005. Result of the analysis showed TSS, NH3, S, BOD, COD, oil and grease, and fecal coliform exceeded the threshold. The units that used are equalization tank, bar screen, grit chamber, primary sedimentation, biological nutrient removal (BNR), clarifier, disinfection, sludge thickener, sludge digester, and sludge drying bed. Biological nutrient removal is suspended growth biological process were chosen because it could remove BOD, TSS, and NH3 concentration into 10 mg/l, 10 mg/l, and 1 mg/l. The effectivity of microorganism uses can be known by percent removal of indicator concentrations.
Keyword: air limbah, biological nutrient removal, IPAL

Judul: Invers Drazin dari Matriks Toeplitz Singular
Abstrak: Matriks Toeplitz adalah matriks yang setiap unsur pada diagonal utama bernilai sama dan setiap unsur pada subdiagonal yang bersesuaian dengan diagonal utama juga bernilai sama. Matriks singular adalah matriks yang tidak bisa ditentukan inversnya. Akan tetapi, dapat diupayakan untuk ditentukan inversnya menggunakan invers matriks yang diperumum. Invers Drazin merupakan salah satu jenis invers matriks yang diperumum. Pada karya ilmiah ini ditentukan invers Drazin dari matriks Toeplitz singular dengan menggunakan metode Leverrier Faddeev. Kemudian, ditentukan invers Drazin dari matriks Toeplitz singular yang direpresentasikan sebagai penjumlahan segitiga bawah dan segitiga atas matriks Toeplitz berdasar pada teorema Gohberg dan Semencul., Toeplitz matrix is a matrix in with element on the main diagonal has the same value and on the subdiagonal corresponding to the main diagonal also has the same value. Singular matrix is a matrix that has no inverse. However, it can be attempted to determine the inverse using a generalized inverse matrix. Inverse Drazin is a type of generalized matrix inverse. This paper discussed the inverse Drazin for a singular Toeplitz matrix using the Leverrier Faddeev method. Then, the Drazin inverse of the singular Toeplitz matrix which is represented as a sum of products of lower and upper triangular Toeplitz matrix based on Gohberg and Semencul theorem.
Keyword: inverse Drazine, singular Toeplitz matrix