Judul: Kualitas Silase Limbah Sayuran Bersuplementasi Molases dan Limbah Cair Sari Kurma
Abstrak: Limbah sayuran menyumbang 38% dari total limbah makanan di Indonesia. Namun, Limbah sayuran berpotensi sebagai bahan pakan ternak. Pemanfataan limbah sayuran dapat dengan menggunakan teknologi silase. Tujuan dari penelitian ini adalah menganalisis kualitas silase limbah sayuran yang disuplementasi molases dan limbah cair sari kurma. Penelitian dilaksanakan di Bogor, pada bulan Juli hingga Agustus 2022. Penelitian ini dibagi ke tiga perlakuan yakni, P0 = kontrol, P1 = 10% limbah cair sari kurma, P2 = 10% molases. Data dianalisis menggunakan uji ANOVA pada software SPSS. Peubah yang diamati meliputi kualitas nutrisi (analisa proksimat), pH, organoleptik, konsentrasi amonia dan asam lemak terbang juga kecernaan bahan kering dan organik. Hasil penelitian menunjukkan, bahwa dengan suplementasi molases dan limbah cair sari kurma secara nyata meningkatkan kualitas nutrisi, kualitas fermentatif, kadar pH dan organoleptik dari silase limbah sayuran. Simpulan dari penelitian ini adalah, silase limbah sayuran yang disuplementasi molases dan limbah cair sari kurma secara nyata menurunkan kandungan serat kasar silase, dengan suplementasi molases 10% sebagai perlakuan paling baik dalam meningkatkan kualitas silase., Vegetable waste contributes 38% of total food waste. But, vegetable waste has the potential as a feedstuff. Silage could be used as a technology for vegetable waste utilization. The objective of this study was to observe the quality of vegetable waste silage supplemented with molasses and extract palm date by-products. The research was conducted in Bogor from July until August 2022. Treatments that were used in this research are P0 = control, P1 = 10% extract palm date by-product, and P1 = 10% molasses. Data were analyzed with an ANOVA test by using SPSS software. The parameter observed were nutrition quality (proximate analysis), pH, organoleptic, ammonia, volatile fatty acid, dry matter and organic matter digestibility. The result showed that supplementation of molasses and extract palm date by-product had a different effect on the nutrition quality, as well as organoleptic quality, pH level, and fermentative quality. In conclusion, supplementation of molasses and extract palm date by-product, shows a not different effect on the crude fiber content. Supplementation molasses of 10% is the best treatment for improving silage quality.
Keyword: extract date palm by-product, feed additives, molasses, silage

Judul: Level of Addition of Molasses to Rice Straw Silage and Oil Palm Frond Silage Resulted from Fiber Cracking Technology
Abstrak: Penelitian ini bertujuan untuk menganalisis kualitas pelepah sawit dan jerami padi menggunakan teknologi Fiber Cracking yang dikombinasikan dengan molasses terhadap fermentasi silase untuk melihat pengaruh penambahan level molasses terhadap pH, kondisi silase secara organoleptik, total VFA, NH₃, KCBA dan KCBO. Metode yang digunakan pada penelitian ini yaitu rancangan acak lengkap (RAL) faktorial dengan 2 faktor. Faktor A (perbedaan hijauan), 4 faktor B (level penambahan molasses 0%, 1%, 3% dan 5%). Data dianalisis secara statistik menggunakan sidik ragan ANOVA kemudian diuji lanjut dengan uji Duncan dan dilanjut dengan uji interaksi. Analisis data menggunakan softwarw SPSS versi 2.0. Hasil penelitian yang didapat pada ph silase memberikan pengaruh yang signifikan (P<0,05) terhadap faktor bahan. Hasil yang didapatkan pada analisis in-vitro memberikan pengaruh yang tidak signifikan (P>0,05) terhadap KCBK, KCBO, NH3, VFA total dan ph supernatan. Pemberian molasses tidak berpengaruh nyata (P>0,05) terhadap faktor bahan dan level pemberian yang digunakan, serta interaksi antara faktor bahan dan faktor level penambahan molasses., This study aims to analyze the quality of oil palm midrib and rice straw using Fiber Cracking technology combined with molasses on silage fermentation to see the effect of adding molasses level to pH, organoleptic silage conditions, total VFA, NH₃, KCBA, and KCBO. The method used in this study was a factorial completely randomized design (CRD) with 2 factors. Factor A (forage differences), factor B (level of addition of molasses 0%, 1%, 3%, and 5%). The data were statistically analyzed using ANOVA, then tested continued with Duncan's test, and it is continued with the interaction test. Data analysis using SPSS software version 2.0. The results of the obtained ph silage exerted a significant influence (P<0.05) on material factors. The results obtained in-vitro analysis exerted an insignificant influence (P>0.05) on dry matter digestibility (KCBK), organic matter digestibility (KCBO), NH3, VFA, and pH supernatant. The administration of molasses has no signifikan effect (P>0.05) on the material factor and the level of administration used, as well as the interaction between the material factor and the molasses addition level factor.
Keyword: fiber cracing technology, molasses, palm oil fronds, rice straw

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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