Judul: Correlation between Consumption of Supplement, Consumption of Fruits and Vegetables and Physical Activity with Health and Nutritional Status of Female Adolescents
Abstrak: Remaja mengalami pertumbuhan fisik yang cepat sehingga kebutuhan gizi remaja relatif tinggi. Suplemen dibutuhkan untuk menunjang kesehatan dan memperkuat daya tahan tubuh. Konsumsi buah dan sayur sebagai sumber vitamin dan mineral serta aktivitas fisik mempengaruhi status kesehatan dan status gizi remaja. Penelitian ini bertujuan menganalisis hubungan konsumsi suplemen, konsumsi buah dan sayur serta aktivitas fisik dengan status kesehatan dan status gizi remaja putri. Desain penelitian adalah cross sectional study dengan subyek berjumlah 60 orang yang dipilih secara purposive sampling. Pengumpulan data dilakukan melalui google form dan wawancara melalui telepon. Hasil penelitian menunjukkan sebanyak 91,6% subyek terkategori sering mengonsumsi suplemen. Sebanyak 96,7% subyek terkategori kurang mengonsumsi buah dan sayur. Sebanyak 60% subyek terkategori sangat ringan melakukan aktivitas fisik. Tidak ada perbedaan signifikan (p>0,05) konsumsi suplemen, konsumsi buah dan sayur serta status kesehatan antara subyek gizi lebih dengan normal namun aktivitas fisik subyek gizi lebih adalah signifikan (p<0,05) lebih rendah daripada subyek gizi normal. Hasil uji korelasi menunjukkan tidak terdapat hubungan signifikan (p>0,05) antara konsumsi suplemen, konsumsi buah dan sayur serta aktivitas fisik dengan status kesehatan. Hasil uji korelasi menunjukkan tidak terdapat hubungan signifikan (p>0,05) antara konsumsi suplemen, konsumsi buah dan sayur, aktivitas fisik dan status kesehatan dengan status gizi., Adolescents experience rapid physical growth so that the nutritional needs relatively high. Supplements are needed to support health and strengthen the immune system. Fruits and vegetables as source of vitamin and mineral, and physical activity affect health and nutritional status. Research aimed to analyze correlation between consumption of supplement, consumption of fruits and vegetables, and physical activity with health and nutritional status. This cross-sectional study design consisted of 60 subjects was selected by purposive sampling. Data collected via google forms and interviews by telephone. This study found 91.6% of subjects were categorized as frequently taking supplement. Most (96.7%) of subjects had a low category for consumption of fruits and vegetables. As much as 60% of subjects had very light category of physical activity. There was no significant difference (p>0.05) in consumption of supplement, consumption of fruits and vegetables, and health status between overweight and normal subjects. Physical activity of overweight was significant (p<0.05) lower than normal subjects. There was no significant correlation between consumption of supplement, consumption of fruits and vegetables, and physical activity with health status. There was no significant correlation between consumption of supplement, consumption of fruits and vegetables, physical activity and health status with nutritional status.
Keyword: consumption of fruits and vegetables, consumption of supplement, health status, nutritional status, physical activity

Judul: Correlation between Fat Intake, Vegetables and Fruits Consumption, and Physical Activity with Overweight and Obesity in Adolescents
Abstrak: Prevalensi remaja kegemukan terus meningkat selama satu dekade terakhir. Peningkatan tersebut didorong oleh kebiasaan remaja yang kurang baik dalam mengonsumsi pangan dan aktivitas fisik yang kurang. Oleh karena itu, penelitian ini bertujuan untuk menganalisis keterkaitan antara asupan lemak, konsumsi sayur dan buah, serta aktivitas fisik dengan status gizi remaja. Penelitian dengan desain studi comparative cross-sectional ini, melibatkan 46 subjek gemuk dan 46 subjek status gizi normal. Hasil penelitian menunjukkan terdapat 29,3% subjek dari kedua kelompok memiliki asupan lemak berlebih. Seluruh subjek dari kedua kelompok dinilai kurang mengonsumsi sayur dan buah. Sebanyak 77,2% subjek dari kedua kelompok memiliki tingkat aktivitas fisik kategori ringan. Asupan lemak subjek gemuk signifikan lebih tinggi daripada subjek status gizi normal (p=0,015). Hasil uji korelasi menunjukkan bahwa asupan lemak berkorelasi positif dengan status gizi (p=0,050; r=0,205), sedangkan aktivitas fisik berkorelasi negatif dengan status gizi (p=0,032; r=-0,224). Tidak ditemukan korelasi yang signifikan antara konsumsi sayur dan buah dengan status gizi (p>0,05), namun rata-rata konsumsi sayur buah subjek status gemuk dinilai lebih rendah daripada subjek status normal. Hasil tersebut mengindikasikan bahwa penting untuk mengontrol asupan lemak, meningkatkan konsumsi sayur buah, dan aktivitas fisik untuk mencapai status gizi normal., The prevalence of overweight and obesity in adolescents has been steadily increasing over the past decade. This was driven by adolescents’ poor eating habits and lack of physical activity. Therefore, this study aimed to analyze the correlation between fat intake, vegetables and fruits consumption, and physical activity with adolescents’ nutritional status. This comparative cross-sectional study design involved 46 overweight obese subjects and 46 normal nutritional status subjects. There were 29,3% subjects of both groups that had excessive fat intake. All subjects were considered not consuming enough vegetables and fruits. There were 77,2% subjects of both groups that had a mild level of physical activity. Fat intake of overweight obese subjects was significantly higher than normal subjects (p=0,015). The correlation test results showed that fat intake was positively correlated with nutritional status (p=0,050; r=0,205), while physical activity was negatively correlated with nutritional status (p=0,032; r=-0,224). No significant correlation was found between vegetables and fruits consumption with nutritional status (p>0.05), but the average vegetable fruit consumption of normal nutritional status subjects was higher than overweight obese subjects. These results indicated that it is important to control fat intake, increase fruits and vegetables consumption, and physical activity to get normal nutritional status.
Keyword: fat intake, overweight and obesity, physical activity, vegetable and fruit consumption

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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