mathowl in #hive-196387 • 2 months agoResearch diaries #10: The real line, gaps in the rational numbers and the axiom of completenessHistorically mathematics did not start at the true fundamentals. The fundamentals were only completed around the 19th century. All of the work done before that was done with some…mathowl in #hive-196387 • 2 months agoResearch diaries #9: types of convergenceA sequence is a list of ordered points. As we progress through a sequence it could be that these points are approximating some point. For example, look at the graph below ![image.png](mathowl in #hive-196387 • 2 months agoResearch diaries #8: Weakening differentiabilityIn high school we all learned about how to compute the derivative. Here we will look at what it means for a function to be differentiable and how to weaken it. A derivative of…mathowl in #hive-196387 • 3 months agoResearch diaries #7: Regular versus chaotic motionThis post connects to one of my old post on chaos in the logistic map . Here we will be looking at the sine circle map and showing how a critical feature of the map determines…mathowl in #hive-196387 • 3 months agoResearch diaries #6: Parallel in pythonI haven't posted in ages. Today a code snippet for running stuff parallel Python is one of those languages where you can really directly start working on solving your…mathowl in #hive-196387 • last yearResearch diaries #5: Installing some hardwareIf it sits it fits. A couple of experiments are data heavy so I got another SSD for data storage. I didn't have a tray to fix my SSD so I ended up being "creative". Well it is…mathowl in #hive-196387 • last yearResearch diaries #4: The beauty of chaosA while back @alexanderalexis wrote about the beauty of order . So that inspired me to write about the beauty of chaos. In this post I will give an introduction to…mathowl in #hive-163521 • last yearResearch diaries #3: Let me give you a puffLately all my computational work is too heavy for my mobile devices. (T.T) I am also starting to notice that storing the computations takes up a large chunk of space, lmathowl in #hive-196387 • last yearResearch diaries #2: Singularities and regularizations*A lot of my research work is somewhat technical/abstract. There is a connection between the theory and the application but the questions are usually defined from the perspective…mathowl in #hive-163521 • last yearResearch diaries #1I am trying to post on a more regular basis. Since most of my day is research oriented it seems like a good idea to do some general posts about work. ^-^ Cellular automata I…
