Mathematics
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Department of Mathematics & Statistics
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Zhanglong Cao

Studying for Doctor of Philosophy

Area of study:
Human behaviour prediction with time series analysis and artifical neural network analysis

Supervisor: Matthew Parry


Email: zcao@maths.otago.ac.nz  


Thesis

Title: Inference and characterization of planar trajectories

Supervisors: Matthew Parry, David Bryant

Previous Degree(s): Bachelor (JSNU, China), Master (USST, China)

Tractors, working on an orchard or vineyard, are often fitted with GPS units. These GPS units provide location and velocity information of tractors with errors. Given a series of such fixes, I want to construct the most likely path taken by the tractor with some smart modeling of the movement. I then want to develop higher level characterizations of the trajectories and apply this to more general problems in curve and object recognition.

Publications

  • WANG Xin-li,CAO Zhang-long, Unicity Theorems of Meromorphic Functions with Three Weighted Sharing Values, Chinese Quarterly Journal of Mathematics, 2012, 27(1):110-116
  • CAO Zhang-long, WANG Xin-li, Meromorphic Functions Sharing Two Sets with Weighted Value of One, Journal of the University of Shanghai for Science and Technology, Vol.32, No.5, 2010.
  • CAO Zhang-long, WANG Xin-li, Uniqueness of Meromorphic Function with Its k-th Derivative Sharing Two Weighted Values (Unpublished)