Judul: Design Of Irrigation Water Supply For  Dramaga Seedbed Using Hydram Pump Sourcing from Ciapus River
Abstrak: Kekeringan merupakan kejadian alam yang disebabkan oleh rendahnya curah hujan dalam periode waktu tertentu sehingga menyebabkan kurangnya ketersediaan atau suplai air untuk kegiatan manusia dan lingkungan. Jumlah ketersediaan air menurun sehingga berbagai sektor mengalami kekurangan air, salah satunya ialah sektor pertanian. Sektor pertanian yang kekurangan air dapat menurunkan produktivitas dalam proses pemanenannya. Salah satu cara untuk menanggulanginya ialah dengan memanfaatkan pompa hidraulik ram. Debit penggerak pompa hidram yang diperoleh sebesar 16.4 liter/detik. Berdasarkan hasil pengukuran beda elevasi, beda elevasi sumber terhadap pompa (supply head) sebesar 1 meter diperoleh dengan jarak sepanjang 30 meter. Diketahui bahwa beda elevasi antara titik pemompaan dan daerah layanan sebesar 12.87 meter. Pompa hidram yang digunakan merupakan pompa hidram Sanan tipe Flap dengan ukuran pipa input 4 inchi dan output 2 inchi. Rasio tinggi jatuh dan tinggi angkat digunakan 1 : 13.5 sehingga estimasi debit pemompaan mencapai 0.354 liter/detik. Sistem jaringan pipa transmisi akan mengalami kerugian head akibat jenis pipa yang digunakan dan belokan pada pipa. Hasil penelitian menunjukkan bahwa total kerugian head akibat gesekan dan belokan pada pipa adalah 0.58 meter. Total head pemompaan ialah sebesar 13.6 meter., Drought is a natural event caused by low rainfall in a certain period of time, causing a lack of availability or supply of water for human activities and the environment. The agricultural sector that lacks water can reduce productivity in the harvesting process. One way to overcome this is to use a ram hydraulic pump. The hydraulic ram pump drive discharge obtained is 16.4 liters/second. Based on the measurement results of elevation difference, the difference in elevation of the source to the pump (supply head) of 1 meter is obtained with a distance of 30 meters. It is known that the elevation difference between the pumping point and the service area is 12.87 meters. The hydraulic ram pump used is a Flap type Sanan hydram pump with a 5 inch input pipe size and 3 inch output. The ratio of falling height and lifting height is used 1 : 13.5 so that the estimated pumping discharge reaches 0.354 liter/second. The transmission pipeline sistem will experience head losses due to the type of pipe used and the bend in the pipe. The results showed that the total head loss due to friction and bends in the pipe was 0.58 meters. The total pumping head is 13.6 meters.
Keyword: Ciapus river, hydram pump, supply pipe, transmission pipe

Judul: Perancangan Pompa Hidram Penyalur Air Embung SDGs  Sebagai Penyedia Air Lahan Penelitian Cikabayan
Abstrak: Kebutuhan air irigasi pada lahan pertanian yang elevasinya lebih tinggi dari pada sumber air pasti membutuhkan pompa sebagai tenaga pengalirannya, salah satu pompa yang hemat energi adalah pompa hidram yang mengubah energi jatuh air menjadi energi penggerak pompa. Bangunan pelimpas embung SDGs memiilki tinggi jatuh air yang dapat dimanfaatkan pompa hidram untuk mengaliri lahan pertanian Cikabayan, sehingga diperlukan rancangan pengaliran air dari saluran pelimpas menuju lahan pertanian cikabayan dengan memanfaatkan pompa hidram. Hasilnya didapatkan kebutuhan air irigasi adalah 1,08 lt/det dan dipilih pompa hidram dengan debit 1,04 lt/det, debit pemompaan tidak berbeda jauh dari kebutuhan air irigasi dan dapat bertambah karena rasio tinggi jatuh dan angkat yang direncanakan masih lebih kecil dari pada tabel estimasi debit pemompaan. Perhitungan nilai head loss dari statis dan dinamis dari pompa hidram menuju reservoir terdapat head loss total sebesar 15,91 m sehingga lebih kecil dari pada rencana pemompaan yaitu 25 m dan pompa hidram dapat dijalan kan sesuai kebutuhan air lahan pertanian Cikabayan, The need for irrigation water on agricultural land whose elevation is higher than the water source definitely requires a pump as a drainage power, one of the energy-efficient pumps is a hydraulic pump that converts the energy of falling water into pump driving energy.. The SDGs reservoir spillway building has a high water fall that can be used by hydraulic pumps to drain Cikabayan agricultural land, so a design is needed to drain water from the spillway to Cikabayan agricultural land by utilizing a hydraulic pump. The result was that the irrigation water requirement was 1.08 lt/sec and a hydraulic pump with a discharge of 1.04 lt / sec was selected, the pumping discharge did not differ much from the irrigation water requirement and could increase because the ratio of falling height and planned lifting was still smaller than the pumping discharge estimation table. The calculation of the head loss value from static and dynamic from the hydraulic pump to the reservoir has a total head loss of 15.91 m so that it is smaller than the pumping plan, which is 25 m and the hydraulic pump can be run according to the water needs of Cikabayan agricultural land
Keyword: head loss, irrigation, hydraulic pump

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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