I'I m an assistant lecturer at Hasanuddin University. 2 years ago, im completed my studies with a major in Mathematics, especially in signal analysis. My research is now focused on quaternion algebras and the solution of complex equations involving quaternions. My current research is on the Laplace equation, and I'm developing the classical Laplace transform for quaternions. My research will always be helpful for the future.
Signal analysis Quaternion Algebra Transformation Math education and History of Math
This paper is devoted to the study of the quaternion Laplace transform, which is a natural generalization of the classical Laplace transform using the quaternion algebra. We find that some of its properties such as derivative, convolution and correlation theorems are quite different from the corresponding properties of the classical Laplace transform. Other properties like linearity, shifting, scaling and derivative are also studied in detail. Finally, the utility of the quaternion Laplace transform for solving quaternion-valued differential equations is presented.
Penelitian ini bertujuan untuk mendeskripsikan Penggunaan media e-learning dalam pembelajaran matematika di masa pandemi (Covid-19). Penelitian ini adalah penelitian deskriptif kuantitatif dengan populasi seluruh peserta didik kelas IX SMP N 4 Kota Gorontalo yang berjumlah 217 peserta didik. Sampel dalam penelitian sebanyak 22 orang. Teknik pengambilan sampel yaitu simple random sampling. Data penelitian diperoleh dari lembar pengamatan guru dan peserta didik terkait penggunaan media e-learning ( Zoom, Whatsapp, Google Classroom), tes hasil belajar angket respon peserta didik serta wawancara guru dan peserta didik tentang penggunaan media e-learning dalam pembelajaran matematika di masa pandemi. Hasil penelitian menunjukan bahwa penggunaan media elearning dalam pembelajaran matematika di masa pandemi berada pada kategori kurang baik yang ditunjukan dengan Kegiatan Guru memperoleh rata-rata presentase 54,4%, kegiatan Peserta didik memperoleh rata-rata 60%, respon peserta didik memperoleh rata-rata 73,6%, dan tes hasil belajar presentase peserta didik yang tuntas adalah 45.4% dan peserta didik yang tidak tuntas sebesar 54,5%
This study will examine the orthogonal properties of Directional Short-time quaternion Fourier transform (DSTQFT) which is a further study of DSTFT with an expansion in the form of a function that has a Quaternion value. The orthogonal properties of DSTQFT are obtained by combining the orthogonal properties of DSTFT and the Fourier quaternion transform (QFT). Based on the results of the study, it was found that the orthogonal nature of the Directional Short-Time quaternion Fourier Transform (DSTQFT) is different fromthe orthogonal nature of the Directional Short-Time Fourier Transform (DSTFT). In addition, there are three important consequences of orthogonality in TFQSTB as a result of the quaternion-valued function.
