Judul: Gröbner Basis Implementation in Binary Multivariate Polynomial Nonlinear System with Divide and Conquer Recurrence.
Abstrak: Membahas suatu sistem persamaan polinomial umumnya berkaitan dengan menentukan solusi yang memenuhi sistem tersebut. Dalam ring polinomial multivariat, salah satu metode dalam menentukan solusi persamaan khususnya pada ring polinomial nonlinear multivariat biner adalah menggunakan suatu basis, yang disebut basis Gröbner. Basis ini berasal dari suatu ideal di dalam ring polinomial tersebut. Untuk mencari basis ini, akan digunakan algoritme Buchberger. Algoritme ini diterapkan pada sistem polinomial biner dengan setiap polinomialnya dapat direpresentasikan dalam simbol sebagai set of set of integers. Karena memerlukan iterasi yang cukup banyak dalam proses komputasinya, selanjutnya dimodifikasi dengan menerapkan metode rekurensi divide and conquer. Ide dasar modifikasi ini yakni membagi problem menjadi subproblem hingga yang terkecil, kemudian diselesaikan secara rekursif dengan melibatkan algoritme Buchberger pada saat proses penggabungannya. Penerapan algoritme pada pemrograman MAPLE menunjukkan bahwa metode modifikasi algoritme Buchberger dan divide and conquer jauh kebih cepat dari metode hanya menerapkan algoritme Buchberger.
Keyword: Buchberger algorithm, Gröbner basis, divide and conquer reccurence

Judul: Comparison of the Brute Force and the  Divide and Conquer Recurrence Algorithms for finding the solution of Binary  Multivariate Non-Linear System
Abstrak: Pada skripsi ini sembarang polinomial, In this paper, any polynomial ...dst
Keyword: binary multivariate non-linear system, Boolean function solution, Brute  Force method, divide and conquer algorithm

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