How to Use "mathematic" with Example Sentences

1. Progress in mathematic model study for lake eutrophication .
2. Transaction cost economics ( tce ) has been widely criticized for its lack of adequate mathematic models , so modeling is imperative to tce .
3. The original intention of paper is to carve out a new way based on mathematic model for city water supply price and offer an effective calculation way .
4. Thy friend may practice mathematic confidentially when thou dost not see him .
5. Are an absolutely valid mathematic occurrence .