Animated Mathematica functions

Here's a fun web page from Wolfram Research that has animations for a bunch of Mathematica's built-in functions.

Comments

Post a Comment

Popular posts from this blog

Benchmarking in the web age

The TechEmpower website contains some fascinating benchmarks of servers. The results on this benchmark of multiple requests to servers provide some insight into the performance characteristics of .NET on a modern problem. Specifically, the C# on ASP.NET Core solutions range from 2.5-80× slower than fastest solution which is written in Rust. In fact, C# is beaten by the following programming languages in order: Rust Java Kotlin Go C Perl Clojure PHP C++ Furthermore, .NET Core is Microsoft's new improved and faster version of .NET aimed specifically at these kinds of tasks. So why is it beaten by all those languages? I suspect that a large part of this is the change in workload from the kind of number crunching .NET was designed for to a modern string-heavy workload and I suspect .NET's GC isn't as optimised for this as the JVM is. As we have found, .NET has really poor support for JSON compared to other languages and frameworks, with support fragmented across many non-stand...
Read more

What's new in garbage collection?

Since the 1950s there have been three main families of collectors: semi-space, mark-sweep and mark-compact. Almost all production GCs have been generational mark-sweep even though they exhibit pathological performance when the nursery is full of survivors because they are marked, (physically) copied and all references to them updated which is ~3x slower than necessary and is practically useful when filling a hash table with heap-allocated keys and/or values. The Beltway (2002) and Immix (2008) garbage collectors introduced the new family called the mark-region GCs. With a mark-region GC the entire heap is a collection of regions and so is the nursery generation so it can be logically aged by replacing it with another region when it is full of survivors. Sun's Hotspot JVM introduced the first mainstream mark-region GC with its G1 collector. The advent of multicore in 2005 has meant more emphasis on parallel and concurrent garbage collectors. The Staccato (2008) garbage collector ...
Read more

What is your garbage collector collecting?

Image
As a garbage collector runs it recycles unreachable values. A well known result in GC theory is that values tend to die in "clumps" rather than individually. This post visualizes these clumps. We instrumented a C++ program equipped with our own mark-region collector (using 64kB regions) that is equivalent to the following F# implementation of a list-based n-queens solver in order to gather information about the structures being collected: let safe x1 y1 x2 y2 = x1 <> x2 && y1 <> y2 && x2 - x1 <> y2 - y1 && x1 - y2 <> x2 -...
Read more