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Not as much as you might think. The simulated data here contrast policies that isolate people who test positive using four different assumptions about the quality of the test. Even a very bad test cuts the fraction of the population who are ultimately infected almost in half. In this post, I use it to compare the economic and social cost of two policies that are equally effective at containing the virus. What the simulations show is that if we use a test to determine who gets put into isolation the fraction of the population that needs to be confined and isolated is dramatically smaller. These benefits are available even with an imperfect test and without doing any contact tracing.

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Online, there are several sources for specific maps of current weather conditions. Generally these are produced and maintained by government agencies or other large organizations. Two new features that enable this particular application are powerful new vector visualization functions and built-in weather data.

Vector visualization has been present in Mathematica since Version 2. Traditional arrow-based vector plots, new methods based on automatic streamline placement, support for vector glyphs, and high-resolution images produced using line integral convolutions are all now supported.

Meanwhile, the new WeatherData function provides access to data from all public weather stations worldwide. Real-time and historical data on temperature, pressure, wind speed, and many other variables is immediately available for mathematical analysis and visualization. A stream plot is a good option when the positioning of the underlying data points on a rectangular grid might be distracting in a ListVectorPlot. In the following stream plot, we color stream lines according to the local wind speed brighter colors indicate higher speeds : A lot is going on behind the scenes in ListStreamPlot.

Note the way stream lines are automatically positioned to have uniform density across the plot. Where to from here? We could combine any of the above visualizations with Dynamic to produce a constantly up-to-date weather map. We could produce an animation of historical weather conditions using ListAnimate.

We could produce weather visualizations for any country or the whole world, taking advantage of the new integrated geodesy system to visualize in Mercator or any other cartographic projection. The possibilities are limitless. What will your weather map do?

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Online, there are several sources for specific maps of current weather conditions. Generally these are produced and maintained by government agencies or other large organizations. Two new features that enable this particular application are powerful new vector visualization functions and built-in weather data. Vector visualization has been present in Mathematica since Version 2. Traditional arrow-based vector plots, new methods based on automatic streamline placement, support for vector glyphs, and high-resolution images produced using line integral convolutions are all now supported. Meanwhile, the new WeatherData function provides access to data from all public weather stations worldwide. Real-time and historical data on temperature, pressure, wind speed, and many other variables is immediately available for mathematical analysis and visualization.

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