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Boundedness of Pseudo-Differential Operator for S0 Class Muhammad Habiburrohman; Dinni Rahma Oktaviani
Journal of Natural Sciences and Mathematics Research Vol 6, No 2 (2020): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/jnsmr.2020.6.2.11219

Abstract

Pseudo-differential operator in a function space is obtained from the Fourier transform of this function space with a multiplier function. This paper will discuss and prove the boundedness of pseudo-differential operator in Lebesgue space with the multiplier function is in the class S0. The evolution of the pseudo-differential theory was then rapid. Based on development from this history, it has gave birth to the general definition of pseudo-differential operator that explain in this paper The general definition of pseudo-differential, of course has an applied or representation. One of them is the problem of partial differential equations in the Poisson equation  have the solution , and using Fourier transforms is obtained. In this case the form can be carried in the general form of a pseudo-differential operator. The  solution can be estimated for every if operator  is a bounded operator. In this paper, the operator defined with correspondes some symbol that describe this operator is more interest. The conclusion of this paper is the boundedness pseudo-differential operator , so we can estimated this number.©2020 JNSMR UIN Walisongo. All rights reserved.
Analisis Kelainan Jantung Menggunakan Dimensi Fraktal Dan Transformasi Wavelet D R Oktaviani; M Habiburrohman
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 17 No. 2 (2020)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2020.v17.i2.15315

Abstract

ABSTRACT The disease that causes the largest number of deaths in Indonesia to date is acute coronary syndrome or called the silence killer. Deaths due to coronary heart disease (CHD) reached 26.4%. Therefore, to prevent the high death rate from CHD, early detection of CHD can be done. One way that can be done is checking the ECG (electrocardiogram / electrocardiograph) record. Then by using the HRV (Heart Rate Variability) method, which is to analyze the ECG signal which can take measurements, physiological interpretation, and clinical use of the ECG signal so that it can find out an arrhythmia (a condition in which the heart beats erratically) a person's heart and take medical steps right. In this article using wavelet transform analysis to identify heart disease. The results are then compared with the fractal dimensions of the heart rate signal. FD identifies heart disease with more than 90% confidence Keywords : Fractal, Heart, Wavelet.
Meningkatkan Prestasi Olimpiade Sains Nasional (OSN), Kompetisi Sains Madrasah (KSM) 2022 Kota dan Kabupaten Semarang melalui Pembinaan Kepada Guru dan Siswa Muhammad Habiburrohman; Dinni Rahma Oktaviani; Mohamad Tafrikan; Prihadi Kurniawan
Manggali Vol 3 No 1 (2023): Manggali
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat, Universitas Ivet

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/manggali.v3i1.2529

Abstract

OSN (Olimpiade Sains Nasional) merupakan ajang lomba/kompetisi yang diselenggarakan oleh Kementrian Pendidikan dan Kebudayaan, kemudian KSM (Kompetisi Sains Madrasah) merupakan ajang lomba/kompetisi yang diselenggarakan oleh Kementrian Agama. Kedua kegiatan ini merupakan kegiatan tahunan yang bertujuan untuk menumbuhkembangkan suasana kompetitif yang sehat di kalangan siswa SD/MI, SMP/MTs, dan SMA/MA serta meningkatkan wawasan pengetahuan, kemampuan, kreatifitas serta menanamkan sikap disiplin serta kerja keras untuk menguasai ilmu pengetahuaan dan teknologi. Sebagai dosen yang peduli dengan penyelenggaran program pendidikan di tingkat dasar, ketua maupun anggota menyelenggarakan kegiatan pengabdian yakni berupa pembimbingan berkala dengan tujuan; 1) meningkatkan kemampuan guru sebagai pembimbing pertama di masing-masing sekolah; 2) meningkatkan kemampuan siswa yang mewakili sekolah agar mendapatkan hasil yang lebih baik dari tahun sebelumnya.