Judul: Penentuan Masak Fisiologi dan Metode Pengujian Viabilitas Benih Kemangi (Ocimum americanum L.)
Abstrak: Ocimum americanum L. is one of the indigenous plant species that can be used as spices, herbs, and vegetables. These plants are generally propagated using seeds. The purpose of this experiment was to determine the physiological maturity of Basil seed and its viability testing method. The experiment conducted at Medicinal Gardens Conservation Unit (MGCU) and Seed Technology Laboratory, IPB in December 2013 to April 2014. The experiment consisted of two experiments. The first experiment used a completely randomized design (CRD) with 2 factors, that is the harvesting time factors which consisted of 44, 48, 52, 56, and 60 days after flowering (DAF) and the layout factors seed which consisted of the seed lied on the base, middle, and end flowerstalk. The second experiment used split-split plot design that arranged with completely randomized. The first factor was the environmental condition about germination with 2 levels i.e. dark and light condition, the second factor was the soaking seed temperature treatment i.e. water soaking with 40 ºC and room temperature (27 ºC) , and the third factor was the method of germination i.e. the top of paper and the between of paper method. The first experiment results showed that basil seed reached the ripe harvest physiology at the age of 48 DAG and basil seed which located in the middle had the best viability and vigor from the others. The second experiment results showed that the best method on the seed germination of basil seeds obtained by the top of paper method and light condition.
Keyword: seed testing, seed lied, indigenous plant, harvesting time

Judul: Development of a Radicle Emergence-Based Vigor  Evaluation Method for Long Bean (Vigna sinensis L.) Seeds Using Digital Image  Processing
Abstrak: Uji pemunculan radikula adalah metode alternatif yang menjanjikan untuk pengujian vigor benih secara cepat. Pengolahan citra digital merupakan suatu teknologi yang dapat digunakan dalam identifikasi mutu benih menggunakan metode pemunculan radikula yang lebih akurat dan waktu yang efisien. Penelitian bertujuan mengembangkan metode uji cepat vigor benih yang lebih efisien dan akurat dengan metode pemunculan radikula (radicle emergence) menggunakan pengolahan citra digital pada benih kacang panjang (Vigna sinensis L.). Penelitian dilakukan di Laboratorium Fisiologi dan Kesehatan Benih, Departemen Agronomi dan Hortikultura (AGH), Fakultas Pertanian, Institut Pertanian Bogor, pada bulan Oktober 2023 hingga Januari 2024. Penelitian ini menggunakan pengujian yang didasarkan pada tolok ukur daya berkecambah (DB), indeks vigor (IV), potensi tumbuh maksimum (PTM), kecepatan tumbuh (KCT), rataan waktu pemunculan radikula (MRET), serta pengujian vigor pada cekaman salinitas 0,35% dan 0,7%. Penelitian menggunakan rancangan kelompok lengkap teracak satu faktor dengan empat ulangan dengan suhu perkecambahan 25 ± 2 . Penelitian menggunakan sepuluh varietas benih kacang panjang dan pengamatan uji pemunculan radikula dilakukan mulai jam ke 46 hingga jam ke 58 setelah tanam. Penelitian ini menemukan bahwa pengolahan citra digital dapat digunakan secara efektif pada uji pemunculan radikula untuk pengujian vigor benih kacang panjang. Uji pemunculan radikula berkorelasi kuat positif dengan tolok ukur daya berkecambah, indeks vigor, dan kecepatan tumbuh, serta berkorelasi negatif dengan tolok ukur rataan waktu pemunculan radikula. Periode perkecambahan paling cepat yang dapat digunakan untuk pengujian uji pemunculan radikula adalah 52 jam. Penelitian ini menunjukkan potensi uji pemunculan radikula sebagai metode yang dapat diandalkan dan efisien untuk pengujian vigor benih kacang panjang, terutama ketika dikombinasikan dengan teknologi pengolahan citra digital., Radicle emergence test is a promising alternative method for rapidly evaluating seed vigor. Digital image processing is a technology that can be used to identify seed quality using the radicle emergence method that is more accurate and time efficient. This study aimed to develop an accurate and efficient radicle emergence method for long bean (Vigna sinensis L.) seed testing. The research was conducted at the Seed Physiology and Health Laboratory, Department of Agronomy and Horticulture (AGH), Faculty of Agriculture, Bogor Agricultural University, between October 2023 and January 2024. The study utilized tests that were based on benchmarks such as germination, vigor index (VI), maximum growth potential (MGP), germination speed, mean radicle emergence time (MRET), and vigor testing under 0.35% and 0.7% salinity stress. The study used a one-factor randomized complete group design with four replications with a germination temperature of 25 ± 2?. The study used ten varieties of broad bean seeds and the observation of radicle emergence test was conducted from hour 46 to hour 58 after sowing. This study found that digital image processing can be effectively used in conjunction with the radicle emergence test for seed vigor testing on long-bean seeds. The radicle emergence test showed strong positive correlations with germination, vigor index, and growth rate, and a negative correlation with mean radicle emergence time. The earliest possible germination period for radicle emergence assays was 52 hours. This study demonstrates the potential of the radicle emergence test as a reliable and efficient method for vigor testing of broad bean
Keyword: correlation, germination period, vigor, viability

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