When I worked at the Air Force Academy, the Dept of Mathematical Sciences took a broad view on what fulfilled their "senior research" course requirements. I mentored a couple of their senior projects - one was working toward a three dimensional (two inputs, one output) cumulative probability function for standard weight in fish that would allow computing a standard weight equation with fewer data points than existing methods; another was an applied method to better understand rocket motor performance. I'm fairly certain that the committee would have approved just about any applied project a senior wanted to do that was heavy in math, regardless of the application.Fantastic idea for an article. Would love to see if anybody has similar ideas for mathematics research, (although I would have liked to see it about 4 years ago when I was trying to do undergrad research). I have some ideas but little time to elaborate them now.
My son often points out (sometimes with sarcasm) that the path to novelty in well researched areas is adding qualifiers. With over 28k google scholar hits on Yagi antenna, I suspect that may be the case here. The trick with achieving novelty through qualifiers is not going so far off into the weeds that the project still addresses something interesting to readers who actually care. My son's sarcasm in practice usually suggests that a given case has added qualifiers in a way that renders the idea uninteresting.I have started tutoring a highschool student on a gifted & talented program.
I am going to get him to investigate the design and performance of a yagi antenna.
Plenty of things to optimise but I can't think of anything novel about it.
Any ideas. Will also post on its own thread to get ideas.