Judul: Algoritma uji komposit berdasarkan teorema kongruensi fermat dan teorema strong pseudoprime
Abstrak: Dalam menentukan apakah suatu bilangan bulat positif ganjil m merupakan bilangan komposit atau bukan, diperlukan suatu uji. Uji tersebut dinamakan uji komposit. Uji Komposit I adalah uji yang didasarkan pada Teorema Kongruensi Fermat. Input dari uji ini adalah bilangan bulat m dan a sebagai basis. Jika uji berhasil maka m dapat dikatakan sebagai bilangan komposit. Jika tidak, maka m dikatakan bilangan diduga prima berbasis a, dimana a adalah anggota dari himpunan bilangan-bilangan bulat modulo m yang relatif prima dengan m. Uji Komposit II adalah uji yang didasarkan pada Teorema Strong Pseudoprime. Input dari uji ini adalah bilangan yang tidak dapat ditentukan kekompositannya menggunakan Uji Komposit II, yaitu bilangan diduga prima berbasis a. Jika uji berhasil maka m merupakan bilangan komposit dan disebut bilangan prima semu berbasis a. Jika tidak, maka m dikatakan bilangan diduga kuat prima berbasis a.
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Judul: Pembangkitan Bilangan Prima dengan Metode Saringan Eratosthenes
Abstrak: Cryptograph is required in securing information or data transmission. In cryptograph, prime numbers are required in high level message security. These prime numbers are acquired by generation method. There are many considerable methods which can be implemented to find prime numbers, one of them is the sieve of Eratosthenes method. There is another method to generate prime numbers, which is called Miller-Rabin prime test algorithm. The aims of this paper are to study and implement the sieve of Eratosthenes method and Miller-Rabin prime test algorithm, and then to compare these algorithms. The sieve of Eratosthenes method is applied to find all prime numbers up to a specified integer n. The filtering is acquired by determining all prime numbers which are smaller or equal to L J;, J and cancelling all integers which are multiple of these prime numbers. In Miller-Rabin prime test algorithm all prime numbers in one interval is determined by applying a certain test to each number within this interval. According to the implementation results, time requirement to execute the sieve Eratosthenes algorithm is shorter than the Miller-Rabin prime test algorithm. The sieve Eratosthenes algorithm needs o( n(lgn)2Ig Ign) bit operations, while generation of prime numbers using Miller-Rabin prime test algorithm needs O({10gnf) bit operations. Nevertheless, the memory requirement of sieve Eratosthenes is higher than Miller-Rabin prime test algorithm. It is because the sieve Eratosthenes algorithm consumes n array and memory consumption of the Miller-Rabin prime test algorithm is negligible (constant).
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Judul: Acute Oral Toxicity Lethal
Dose 50 (LD50) of Cayenne Pepper (Capsicum annuum) Infusion in DDY Strain
Mice (Mus musculus)
Abstrak: In recent years, there has been a growing interest in herbal remedies such as cayenne pepper which is known for its versatility beyond its culinary use. Cayenne pepper’s phytochemicals, including capsaicinoids, carotenoids, phenolic compounds, vitamins, and minerals, offer antioxidant, antimicrobial, and antiinflammatory properties, making it a valuable ingredient in various fields such as veterinary medicine, agro-food, cosmetics, and pharmaceuticals. However, concerns regarding the potential risks of cayenne pepper consumption as herbal medicine arise. This study aims to determine the acute oral toxicity lethal dose 50 (LD50) of cayenne pepper infusion in female DDY strain mice and its effects on the mice's organs. The research involved 20 DDY strain female mice divided into 4 groups which are control group (administered with distilled water) and treatment groups that are given cayenne pepper infusion at doses of 5, 10, and 15 g/kg BW orally. The observed variables included mortality, clinical symptoms, physiological responses, and organ weight. Acute toxicity testing indicated that the cayenne pepper infusion falls into the category of practically non toxic formulations. Administration of the cayenne pepper infusion up to a dose of 15 g/kg BW did not induce toxicity symptoms, such as clinically pathological symptoms, macro anatomical organ changes, or mortality nor affect both weight gain and loss.
Keyword: cayenne pepper, infusion, acute oral toxicity, DDY strain mice, herbal medicine