Hasanuddin University

Browsing Mathematics (PA-MTH) by Title

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Browsing Mathematics (PA-MTH) by Title

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  • Teorema Titik Tetap di Ruang Norm-2 Standar 
    Nur, Muh. (2012-06-28)
    Pada tulisan ini, akan dipelajari ruang norm-2 standar, yakni ruang hasil kali dalam yang dilengkapi dengan norm-2 standar. Setelah itu, ditunjukkan ekuivalensi antara norm baru yang diperoleh dari norm- 2 standar dan ...
  • The TOtal Irregular Labelling of An Amalgamation of Cycle Graphs 
    Nurdin (2011-09-28)
    In [1], Baˇa et al. introduced the notion of a total edge and vertex irregular labelling. For a graph G, the weight of an edge xy, denoted by wt(xy), under a total labelling λ : V (G) ∪ E(G) → {1, 2, · · · , k} is the ...
  • THE TOTAL VERTEX IRREGULARITY STRENGTH OF AN AMALGAMATION OF STARS 
    Zakir, Muhammad; Hinding, Nurdin (Advances and Applications in Discrete Mathematics, 2011-07)
    For a simple graph G with the vertex set V and the edge set E, a labeling is called a vertex irregular total k-labeling of G, if for any two different vertices x and y in V, we have where The total vertex irregularit ...
  • The Total Vertex Irregularity Strength of Caterpillar Graph 
    Nurdin (2012-07-16)
    Caterpillar graph, total vertex irregularity strength, vertex irregular total labeling
  • Two-Dimensional Quaternionic Windowed Fourier Transform 
    Bahri, Mawardi; Ashino, Ryuichi (2011-11-09)
    Signal processing is a fast growing area today and the desired effectiveness in utilization of bandwidth and energy makes the progress even faster. Special signal processors have been developed to make it possible to ...
  • Two-dimensional quaternion wavelet transform 
    Bahri, Mawardi; Ashino, Ryuichi; Vaillancourt, Rémi (Applied Mathematics and Computation, 2011)
    In this paper we introduce the continuous quaternion wavelet transform (CQWT). We express the admissibility condition in terms of the (right-sided) quaternion Fourier transform. We show that its fundamental properties, ...
  • Windowed Fourier transform of two-dimensional quaternionic signals 
    Bahri, Mawardi; Hitzer, Eckhard S.M.; Ashino, Ryuichi; Vaillancourt, Rémi (Applied Mathematics and Computation, 2010)
    In this paper, we generalize the classical windowed Fourier transform (WFT) to quaternion- valued signals, called the quaternionic windowed Fourier transform (QWFT). Using the spectral representation of the quaternionic ...

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