#Mathematica double integral code#

What is a character? Back when Version 1.0 was released, characters were represented as 8-bit objects: usually ASCII, but you could pick another “character encoding” (hence the ChararacterEncoding option) if you wanted. And for example this is what’s needed in specifying steps in proofs, say as generated by FindEquationalProof. Why is this important? The answer is that it gives a symbolic way to specify not just what replacement is made, but also where it is made. But quite often one wants more control over where replacements are done. ) does the same thing for all subparts of an expression. Replace attempts to apply a replacement rule to a complete expression-or a whole level in an expression.

Last but not least in the list of new core language functions in Version 13.1 is ReplaceAt. So if test isn’t True at first, Until will still evaluate body once, in effect only looking at the test after it’s evaluated the body. Until does things the other way around: it evaluates body until test becomes True. But if test isn’t True even at first, While won’t ever evaluate body. Ever since Version 1.0 we’ve had While which repeatedly evaluates body while test is True. And in Version 13.1 we’ve add a small piece of streamlining by introducing the function Until. But sometimes it’s the most convenient way to do things. Procedural programming-often with “variables hanging out”-isn’t the preferred style for most Wolfram Language code. Beyond Listability: Introducing Threadedįrom the very beginning of Mathematica and the Wolfram Language we’ve had the concept of listability: if you add two lists, for example, their corresponding elements will be added: And in opening up our process we’re providing visibility not only into what was built for Version 13.1, but also of why it was built, and how decisions about it were made.īut, OK, so what finally is in Version 13.1? Let’s talk about some highlights…. In designing Version 13.1 we’ve done 90 livestreams-lasting more than 96 hours. It’s an unprecedented level of openness-and engagement with the community. But as I experience them every day in my use of the Wolfram Language, I’m proud of the results.Īnd for the past four years I’ve been sharing the “behind the scenes” of how it’s achieved-by livestreaming our Wolfram Language design review meetings. It’s taken both great focus and lots of deep intellectual work. And for nearly 36 years I’ve taken it as a personal responsibility to ensure that that coherence is maintained. But its great power comes not just from what it contains, but also from how coherently everything in it fits together. The Wolfram Language as it exists today encompasses a vast range of functionality. And beyond what appears in specific functions, there’s also major new functionality in Version 13.1 in areas like user interfaces and the compiler. And in Version 13.1 we have 90 completely new functions-as well as 203 existing functions with substantial updates. As usual, even though it’s a “.1” release, it’s got a lot of new (and updated) functionality, some of which we’ve worked on for many years but finally now brought to fruition.įor me it’s always exciting to see what we manage to deliver in each new version. And now, roughly six months later, we’re releasing Version 13.1.

We released Version 13.0 on December 13, 2021. In recent years we’ve established something of a rhythm, delivering the fruits of our development efforts roughly twice a year. And through all those years we’ve energetically continued building further and further, adding ever more capabilities, and steadily extending the domain of the computational paradigm. Last week it was 34 years since the original launch of Mathematica and what’s now the Wolfram Language. Launching Version 13.1 of Wolfram Language & Mathematica 🙀🤠🥳 Launching Version 13.1 of Wolfram Language & Mathematica 🙀🤠🥳 June 29, 2022

#Mathematica double integral code#

Manipulating Expressions in Compiled Code.Directly Compiling Function Definitions.Super-Efficient Compiler-Based External Code Interaction.Chemistry as Rule Application: Symbolic Pattern Reactions.Reconstructing Geometry from Point Clouds.Create Your Own “Guide to Functions” Pages.Yet More Language Convenience Functions.Beyond Listability: Introducing Threaded.