## A proof on 3-by-3 border pattern TP completability

Hi! My project in this summer is to prove whether a partial matrix with certain pattern is completable or not. In this blog, I will prove that a 3-by-3 matrix with only center entry unspecified is  TP completable. I will also introduce one principle and one lemma that will help build my proofs in the next blog.

## A Walk in the Park

A typical day of fieldwork generally starts around 9:30am, by which time the heat and humidity has already set in. Sometimes I meet a volunteer, usually a longtime Richmond resident who has kindly volunteered to show me around their favorite park and its plants, but mostly I head out by myself. With me, I carry a checklist with all the species I’ve seen so far, a waterproof notebook where I record the details of each collection, a pocket magnifier, and an nearly antique vasculum, found in an old Millington cabinet. A vasculum is a cylindrical, metal container used to hold fresh plant specimens.

## The Land Rights Workshop

Back in April, I was taking a Mixed Methods course to prepare for my research in Tanzania. As the final paper for that class, I wrote about a plan to create a land rights workshop, and invite women to it using their mobile phones versus more traditional methods. At the time, the document was little more than a rough framework – many practical issues were not even addressed, let alone answered. In fact, I submitted under the assumption that it would never even come to fruition. However, thanks to the help of my professor and research coordinator, we actually managed to polish it into a workable plan of action.

## Research in a Foreign Country

I never really understood the importance of a command of a native language while doing research – that is, until this trip. In Tanzania, there are multiple official languages, including English. When I saw this, I was reassured, since I figured that even the common man would speak basic English. This, as it turned out, was almost hilariously incorrect. Upon setting foot in the Dar es Salaam airport, I immediately discovered to my dismay that the immigration officer barely spoke English. Through some signing and pointing, I was able to get the correct visa, but I realized then that I was in for much more of a challenge than I had anticipated.

## The Nitty-Gritty of Research

While I have done “research” before, it always involved simply browsing Google Scholar and various journals for knowledge generated by someone else. Up until my Tanzanian project, I had never really considered the effort that goes into actually producing research. What we see published in a journal is a polished product, but we do not see the sweat and labor expended in creating it. Now that I have tried my hand at actually creating content, I have gained a new appreciation for the hard work that goes into research.