![]() ![]() ![]() ![]() As you move along the y axis, you obtain a different probability distribution for the conditional random variable X conditioned on Y = y: I built the following Manipulate to graphically show the relationship between conditional probability density functions arising from a joint probability distribution. Here are a couple of snippets from my notes made during a model theory lecture: This includes using either the named character input character or the brackets notation \, which make it easy to type fast and effectively while taking notes during a course. The Wolfram Language’s typesetting abilities include a wide array of special characters and different ways of being able to input them. I use Mathematica notebooks to take notes and make concepts clear for myself and others in those classes. Recently I’ve been taking part in a series of lectures from the London Mathematical Society’s online lecture series covering model theory, which is a branch of logic that studies the first-order sentences in different structures, as well as a probability course from the MicroMasters Program in Statistics and Data Science from the Massachusetts Institute of Technology (MIT). (That is, writing my notes in LaTeX while a presentation was actively happening.) Many times I missed getting the right information or lost the thread of the discussion while trying to find the right formatting in my LaTeX commands. One thing I wanted to get better at as a student was “live TeXing” notes during a class or seminar. I like to build on things that I perhaps should have used to improve my efficiency during my time as a student or faculty member, or even for tasks outside of work in my day-to-day life. Nowadays, I think about the ways that our users can employ our technologies. Using Wolfram technologies has always been a part of my working process -from asking Wolfram|Alpha questions in college to using the Wolfram Cloud to set up reminders and forms in my everyday work. ![]()
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