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John Maspupu
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Industrial & Manufacturing Engineering Mathematics

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APLIKASI PRINSIP KURVA TUTUP Maspupu, John
MATEMATIKA Vol 8, No 1 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (47.913 KB)

Abstract

In this paper we study the use of the closed graph principle applied to direct sum closed subspace of a Banach Space. We will first discuss the concept of a closed graph described in  the form of theorem or principle. The properties of closed linear mapping  related to the concept of a closed graph will also be explained in detail in the  form of two lemmas. In order to prove the  closed graph principle we utiliize an  open mapping principle. The objective of this study is to show that each  direct sum of a closed subspace will exactly resulted one linear mapping that has  a property of bounded projection. Our results show that a uniqueness of bounded projection on Banach Space can always be obtained from direct sum of two closed subspace. Furthermore, open mapping can be generated  from  premise of a closed graph having certain  conditions
Aplikasi Konsep Kriging pada Data Simulasi Gangguan Geomagnet Lokal John Maspupu
STATISTIKA: Forum Teori dan Aplikasi Statistika Vol 14, No 1 (2014)
Publisher : Program Studi Statistika Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jstat.v14i1.1085

Abstract

Makalah ini membahas aplikasi konsep Kriging pada data simulasi gangguan geomagnet lokal dari 3(tiga) lokasi observasi (stasion geomagnet-SG). Konsep ini asal mulanya dari wilayah geostatistik ,namun sekarang secara luas digunakan dalam wilayah analisa spasial. Teknik ini juga dikenalsebagai regresi proses Gauss (Gaussian process regression), prediksi Kolmogorov-Wiener(Kolmogorov-Wiener prediction), atau prediksi ketakbiasan linier terbaik (Best Linear UnbiasedPrediction). Dengan demikian tujuan pembahasan makalah ini adalah, untuk melakukan estimasiatau interpolasi gangguan geomagnet disekitar tiga stasion geomagnet (lokasi observasi) tersebut.Sedangkan metode yang digunakan untuk merealisasi tujuan di atas ini adalah punctual kriging.Kontribusi hasil estimasi atau interpolasi gangguan geomagnet ini nantinya digunakan sebagai dasarpembuatan peta atau kontur gangguan geomagnet di sekitar ketiga lokasi observasi tersebut.
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