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Apostol, T. M. (1969). CALCULUS, Volume II, Multi Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability (2nd ed.). John Wiley & Sons, Inc.

has been cited by the following article:

• TITLE: Correction of Error Due to Vessel Movement in Underwater Topographic Data Measurement

  AUTHORS: Satoshi Iwakami, Masahiko Tamega, Masahide Sanada, Michiaki Mohri, Yoshitaka Iwakami, Naoki Okamoto, Eishi Mitsui, Hidetaka Chikamori, Ryosuke Akoh, Shuji Jimbo, Masaji Watanabe

  KEYWORDS: Underwater Topography, Positioning, Depth measurement, Vessel Move-ment, Error Compensation

  JOURNAL NAME: Journal of Geoscience and Environment Protection, Vol.12 No.4, April 30, 2024

  ABSTRACT: In underwater topographic measurement implementing the positioning by a GPS receiver and/or a GNSS receiver and the depth measurement by an echo sounder, an antenna connected to a GPS receiver or a GNSS receiver and a transreceiver of the echosounder are fixed to a vessel. On the other hand, a vessel is subject to movements such as longitudinal swayings (roll), sideways swayings (pitch), and bow swayings (yaw), which result in errors of output data. This study shows techniques to compensate for those errors.