Happy Wimbledon. Another teatime puzzle.
Let’s say we have a player with an extremely powerful but inconsistent serve. Half the time she aces, half the time she faults. What is the probability that she wins her service game?
Sean Eberhard's mathematics blog
Happy Wimbledon. Another teatime puzzle.
Let’s say we have a player with an extremely powerful but inconsistent serve. Half the time she aces, half the time she faults. What is the probability that she wins her service game?
This is a research blog, but it is hard to think about much other than coronavirus in this unique time. Here are some thoughts.
Let’s get these out of the way first.
More concretely, and most obviously, I am worried about the safety of people I know. I will leave “how to think about the risk” for some other time (or some other author).
It sounds frivolous compared to my list of fears, but just now it’s one of my big hopes for humans. In this era of technology we deserve to be much better at this. The only reason I don’t use Skype more is the technology seems just slightly crap, e.g., with dropped or slow connections, or the interaction is just slightly clumsy, with the natural timing of conversation out of step. The current crisis could drive change here: technologically, much like how war invented the microwave, but also just by forcing us to practice and develop the social protocol.
Why do I consider that important? Because I think it’s a key step for us as a global society to travel less, and traveling less will not only slow the spread of disease but also help to slow climate change, which after all is still a much greater existential threat to the race, but lacks (at least for now) the shock-and-awe necessary to generate a collective response.
In short, I am hoping that a global crisis like the current one compels us to develop tools quickly that we are going to need anyway, and virtual connectivity is my big example.
I liked this message from Queens’ College Acting Senior Tutor, Prof Martin Dixon, to students, a much-needed message of responsibility and leadership:
Equally, do not underestimate the positive impact that you can make. Perhaps you may not realise, but being a student at Cambridge causes people to hold you in high regard. Your words and actions will be listened to and watched. You are among the very best students in the world, and you can lead by example. A kind word, a simple act of support, a calming of panic, can have a profound effect on those around you. You may not want this responsibility, but you have it. You also have the opportunity to demonstrate what it means to be a Cambridge student in a time of uncertainty. Please live up to the faith we have in you.
Source: the tab, Emily Hyde & Claudia Rowan, 2020/03/13
Of course, the message applies much more broadly than to just students at Cambridge. Anybody with any sort of visible status has the responsibility to think calmly and critically in this time of crisis, as their decisions and opinions are more liable to influence and spread.
Yes, Isaac Newton invented calculus, optics, gravity, etc, etc, during the great plague (1665–1666), the last major recurrence of bubonic plague in England. Therefore, so says everybody recently it seems, lots of excellent ground-breaking research is going to happen over the next couple of months. Maybe, but I’m not as confident. Here are some counterpoints.
More on point 2: Mathematics at its heart is often about developing collective understanding: that’s why giving talks is so cental, to give people the opportunity to interpose questions off the cuff, test their understanding, bounce ideas off each other. Reading and writing papers is an equally important part of the process, but a much slower part of the process.
Personally, my usual research is not much affected: I normally work from my office at home and collaborate remotely, mostly by email. In the coming months I hope to work on virtual colloquia, virtual teaching, etc. It will be interesting to see where we get to in a couple months’ or a year’s time.
Best wishes to anyone reading this. Stay safe, be sensible, don’t panic. Stay in touch.