Judul: The phenotypic and genetic characterization of alabio duck (Anas platyrhynchos Borneo) in South Kalimantan for it’s conservation and sustainable use
Abstrak: Alabio ducks is one of the local duck in South Kalimantan as egg producers which characterized by high productivity of eggs. The study was carried out in order to describe the phenotypic and genetic characterization of Alabio duck being kept by smallholder farmers. The study was conducted in Hulu Sungai Selatan (HSS), Hulu Sungai Tengah (HST) and Hulu Sungai Utara (HSU), South Kalimantan, animal breeding and genetic laboratory and feed technology and nutrition laboratory, Faculty of Animal Science IPB Bogor. Six hundreds (75 males and 525 females) of Alabio ducks were used in this study with ages ranged from 5.5 to 5 months old, 144 of whole blood samples (71 blood plasma and 72 red blood cells) were collected from HSS, HST and HSU. The observed parameters were quantitative and qualitative traits of Alabio duck, genetic variability and nutrition composition. The quantitative traits (body measurement) and genetic polymorphisms of blood protein were analyzed using principal component analysis (PCA) and descriptive analyses. The results showed that for body size measurement of Alabio ducks from HSS, HST and HSU such as length of back, neck, head and depth head as well as body length could be used as variables discriminantor factor. The blood protein polymorphisms of Alabio duck from HSS, HST and HSU displayed six of genotypes i.e. AA, AB, AC, BB, BC and CC with genes frequencies ranged from 0.2917 to 0.7667, heterozigosity value ranged from 0.407±0.120 to 0.661±0.135 and average heterozigocity value of HSS was 0.643±0.232, HST was 0.638±0.219 and HSU was 0.660±0.209. The genetic distances analysis demonstrated that of Alabio duck from HST had relatively closer distance with HSU (0.0148) when compared to HSS (0.2193). The Alabio duck from three locations (HSS, HST and HSU) have different plumage color. The dominant colors of male and famale duck were grayish brown, grayish black, grayish white, blue-green and black. The features of plumage male and female duck were brown spotted, black, blue green and plain. Male and female Alabio duck plumages have the glint of silver and shiny bluegreen. The color of bill, feet and shank of male and female duck were lite yellow, bright orange, pale yellow and black. The average five months eggs production was 67.11%±2.75 (HSS), 75.55%±3.87 (HST) and 76.48%±3.13 (HSU). The feeding duration was 14.99±0.24 minute/hour, feeding frequencies was 2.88±036 time/our and duration of drinking was 2.77±0.50 minutes/hour and moving from feeder to drinker places was 5.99 ±0.23 time/hour. The capability of male duck to mate female were 8.14±0.11bird/male (morning), 6.28±0.18 bird/male (afternoon) and 7.13 ±0.24 bird/male (evening).
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Judul: Evaluasi Pakan Lokal Itik Alabio (Anas platyrhyncos Borneo) terhadap Kualitas Telur Di Kecamatan Alabio Kalimantan Selatan.
Abstrak: This study obtained to evaluate the nutrition content of local feeds which are commonly used by farmer and observed differences of the egg production, physical quality of eggs, chemical composition of egg yolk (protein, fat and fatty acids omega-3 and omega-6) in of five villages in District Alabio South Kalimantan. This experiment used survey method and observation with descriptive analysis. Twelve farmers was used this study and 12 sample of feed and 10 eggs for farmers. The variables observed were profiles of farmers, nutrient content of feed, egg production, the physical quality of eggs and the chemical content of egg yolk. The results showed that the local feed of Alabio ducks contained 10%-18% crude protein, 0.63%-11.55% crude fat, 2.67%- 9.55% calcium, and 0.23%-0.69% phosfor. Most of the ration were given to have a low protein content so that it impact on production and low quality of eggs.The results showed that the physical quality of eggs indicate that egg weight 62.6-66.05 g egg-1, egg index 76.63-77.94 and yolk color score 8.85-13.95. Protein of yolk color 10.72%- 16.67%, fat of yolk color 24.94%-35.95%. omega-3 and omega-6 ratio at 1: 6.56.
Keyword: Anas platyrhynchos Borneo, fatty acid, alabio duck, egg quality

Judul: Aproksimasi Fungsi Sinus dan Kosinus sebagai Kombinasi Linear dari Fungsi Eksponensial
Abstrak: Salah satu gagasan yang menarik dalam matematika adalah aproksimasi suatu fungsi oleh fungsi lain. Sebagai contoh, fungsi polinom dapat diaproksimasi menggunakan deret Taylor atau fungsi persamaan diferensial dapat diaproksimasi menggunakan deret Fourier. Adapun fungsi yang dapat mengaproksimasi fungsi lain salah satunya adalah fungsi eksponensial. Kemungkinan mengaproksimasi fungsi dengan kombinasi linear dari fungsi eksponensial dari bentuk eˣ, e²ˣ, ... dianggap sebagai perkembangan sejajar dengan gagasan Deret Taylor yang mengaproksimasi fungsi dengan kombinasi linear dari segi fungsi kuadrat. Fungsi sin x dan cos x digunakan sebagai target untuk menilai seberapa baik aproksimasi yang dilakukan oleh fungsi yang diberikan. Aproksimasi fungsi sinus dan kosinus menggunakan hampiran Taylor lebih akurat dibandingkan dengan aproksimasi menggunakan fungsi eksponensial.
Keyword: Aprosimaksi eksponensial, aproksimasi fungsi, aprosimaksi Taylor, fungsi eksponensial