Judul: Evaluasi Karakter Agronomi dan Potensi Produksi Taoge Beberapa Galur Kacang Hijau (Vigna radiata L.)
Abstrak: Kacang hijau (Vigna radiata L.) merupakan tanaman pangan legum sumber amilosa dan populer menghasilkan taoge. Varietas nasional yang pengembangannya khusus untuk taoge adalah Vimil 1 dan Vimil 2. Penelitian ini bertujuan mengevaluasi karakter-karakter agronomi dan potensi taoge galur-galur kacang hijau IPB. Penelitian dilaksanakan pada bulan Desember 2022 sampai Maret 2023 di Kebun Percobaan Leuwikopo IPB dan Laboratorium Pemuliaan Tanaman, Departemen Agronomi dan Hortikultura. Penelitian ini menguji 17 galur kacang hijau IPB dan dua varietas nasional (Vima 1 dan Vimil 1), menggunakan rancangan kelompok lengkap teracak (RKLT) faktor tunggal dengan tiga ulangan. Hasil penelitian menunjukkan bahwa genotipe berpengaruh nyata terhadap karakter umur berbunga 50%, jumlah cabang total, tinggi tanaman, jumlah polong bernas, bobot ubinan, bobot 100 butir, panjang taoge, bobot satuan taoge, dan bobot total taoge. Analisis korelasi menunjukkan bahwa karakter bobot ubinan berkorelasi positif dengan jumlah cabang total, jumlah cabang produktif, jumlah polong bernas, bobot polong, dan bobot biji. Analisis klaster menghasilkan 5 kelompok genotipe dengan level similarity 33,3%. Klaster 1 terdiri atas genotipe F7-VR10/V1-49, klaster 2 terdiri atas F7-VR10/V1-27, Vima 1, dan F7-VR10/V1-29, klaster 3 terdiri atas F7-VR10/V1-13, F7-Lom 2/129-37, F7-VR10/V1-31, F7-Lom2/129-28, F7- lom2/129-34, F7-Lom2/129-2, F7-Lom2/129-22, F7-Lom2/129-49, F7-Lom2/129- 42, F7-Lom2/129-30, F7-VR10/V1-6, F7-VR10/V1-10, serta F7-Lom2/129-50, klaster 4 terdiri atas genotipe F7-VR10/V1-56, klaster 5 terdiri atas Vimil 1. Genotipe dengan karakter agronomi dan taoge unggul antara lain F7-VR10/V1-49, F7-VR10/V1-27, F7-Lom2/129-34, F7-VR10/V1-56, F7-Lom2/129-49, dan F7- VR10/V1-29., Mung bean (Vigna radiata L.) is a legume food plant that is a source of amylose and popular for producing sprouts. The national varieties specially developed for sprouts were Vimil 1 and Vimil 2. The research was to evaluate the agronomic characteristics and potential of IPB's mung bean sprouts. The research was conducted from December 2022 to March 2023 at the Leuwikopo Experimental Garden of the IPB and the Plant Breeding Laboratory, Department of Agronomy and Horticulture. This research tested 17 IPB mung bean lines and two national varieties (Vima 1 and Vimil 1) using a single-factor randomized complete block design (RCBD) with three replications. The results showed that genotype had a significant effect on 50% day of flowering, total number of branches, plant height, number of pods, tile weight, 100 grain weight, length of sprouts, unit weight of sprouts, and total weight of sprouts. Correlation analysis showed that the character of tile weight was positively correlated with the total number of branches, number of productive branches, number of pods, pod weight, and seed weight.. The results of cluster analysis group five genotype groups with similarity level 33,33%. Cluster 1 consist of F7-VR10/V1-49 genotype, cluster 2 consist of F7-VR10/V1-27, Vima 1, dan F7-VR10/V1-29 genotype, cluster 2 consist of F7-VR10/V1-13, F7-Lom 2/129-37, F7-VR10/V1-31, F7-Lom2/129-28, F7lom2/129-34, F7-Lom2/129-2, F7- Lom2/129-22, F7-Lom2/129-49, F7-Lom2/129-42, F7-Lom2/129-30, F7-VR10/V1- 6, F7-VR10/V1-10, serta F7-Lom2/129-50, cluster 4 consist of F7-VR10/V1-56 cluster 5 consist of Vimil 1. The genotypes with the best agronomic and sprouts characters include F7-VR10/V1-49, F7-VR10/V1-27, F7-Lom2/129-34, F7- VR10/V1-56, F7-Lom2/129-49, and F7-VR10/V1-29.
Keyword: cluster, correlation, tiled weight, yield potential

Judul: Evaluation of Agronomic Character and  Potential of Bean Sprouts of Several IPB Mung Bean Lines IPB in Dry Land and  Rice Fields
Abstrak: Kacang hijau (Vigna radiata L.) merupakan tanaman legum urutan ketiga terpenting di Indonesia. Kecambah kacang hijau (taoge) memiliki protein tinggi. Penelitian ini bertujuan mengevaluasi karakter agronomi dan potensi taoge galur kacang hijau IPB yang ditanam di lahan kering dan lahan sawah serta mempelajari pengaruh faktor interaksi genotipe dan lingkungan terhadap karakter agronomi dan potensi taoge. Penelitian dilaksanakan pada bulan November 2023 sampai Februari 2024 di Kebun Percobaan Leuwikopo, Kebun Percobaan Sawah Baru IPB dan Laboratorium Pemuliaan Tanaman, Departemen Agronomi dan Hortikultura. Penelitian ini menguji 12 galur kacang hijau IPB dan dua varietas nasional (Vima 5 dan Vimil 1), menggunakan rancangan kelompok lengkap teracak pola tersarang dengan dua faktor, faktor pertama galur kacang hijau dan faktor kedua lingkungan (lahan kering dan sawah). Masing-masing faktor terdiri atas tiga ulangan sehingga terdapat 84 satuan percobaan. Hasil penelitian menunjukkan karakter yang memiliki ragam galat tidak berbeda nyata yaitu panjang infloresens, bobot 100 butir biji, bobot basah per taoge, dan bobot basah taoge per 100 g biji. Lingkungan penanaman kacang hijau yaitu lahan kering dan sawah tidak berbeda nyata pada karakter panjang infloresens dan bobot basah per taoge. Interaksi perlakuan genotipe dan lingkungan penanaman berbeda nyata pada karakter bobot 100 butir biji, bobot basah per taoge, bobot basah total taoge per 100 g biji dan tidak berbeda nyata pada karakter panjang infloresens. Genotipe F9-Lom2/129-42 dan F9-VR10/V1-29 memiliki keragaan karakter komponen hasil yang lebih baik dari genotipe lain. Genotipe F9-VR480B/-82 memiliki keragaan potensi produksi taoge yang lebih baik dari genotipe lain., Mung bean (Vigna radiata L.) are the third most important legume crop in Indonesia. Mung bean sprouts have high protein. This research aimed to evaluate the agronomic characteristics and potential of sprouts of IPB mung bean lines planted in dry land and rice fields and study the influence of genotype and environmental interaction factors on the agronomic character and potential of bean sprouts. The research was conducted from November 2023 to February 2024 at the Leuwikopo Experimental Garden, Sawah Baru IPB Experimental Garden and the Plant Breeding Laboratory, Department of Agronomy and Horticulture. This study tested 12 IPB mung bean lines and two national varieties (Vima 5 and Vimil 1), using a randomized complete block design with a nested pattern with two factors, the first factor being mung bean lines and the second factor environment (dry land and rice field). Each factor consists of three replications so there are 84 experimental units. The results showed that the characters that had various errors were not significantly different are inflorescence length, weight of 100 seeds, wet weight per bean sprout, and wet weight of bean sprouts per 100 g of seed. The mung bean planting environment (dry land and rice fields) did not have a significant difference on the characteristics of inflorescence length and wet weight per bean sprout. The interaction of genotype treatment and planting environment had a significant difference on the weight of 100 seeds, wet weight per bean sprout, total wet weight of bean sprouts per 100 g of seeds and had no significant difference on the character of inflorescence length. The genotypes F9-Lom2/129-42 and F9-VR10/V1-29
Keyword: cluster, correlation, nested, yield potential

Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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