Mathematica

Mathematica: TIP: Protecting against computations breaking verbosely because of Null, None, Undefined. And about using Undefined as a return policy.

Mathematica: TIP: Maintain a Package library of variables for convenient units using a naming convention unit$[unitSymbol]

Mathematica: Use of UnitConvert (or even just multiplication or division by a unit Quantity) MASSIVELY slows the calculations down!

Mathematica: Compile won't work with a Quantity with units

CoolProp: HOWTO reproduce a pressure vs specific enthalpy chart in Mathematica. Example: R32 refrigerant.

Mathematica: TIP: The ThermodynamicData function of Mathematica uses NIST's RefProp under the hood.

Mathematica: CoolProp wrappers don't seem to be maintained past CoolProp 5.1.1 (and the PhaseSI and 2-args Props1SI functions do not work)

Mathematica: MTools: Argument pattern matching does not respect inheritance (undermines design-by-contract and heaps of Design Patterns)

Webel + Mathematica + MTools + SysML

Mathematica: LINKS: Manipulating Strings and using RegularExpression

Mathematica: GOTCHA: Null is tricky!

Mathematica: Wolfram Workbench: Basic variable name refactoring is not supported.

Mathematica: Objectica 3rd-party commercial package for OO in Mathematica. Earth calling Objectica, do you still exist?

Mathematica: Wolfram Workbench: Sometimes the Outline view gets completely out of sync with the .m or .wl Package code

Mathematica: Wolfram Workbench: Sometimes the code syntax checking goes haywire (with red nearly everywhere) for no good reason (even when the code load and runs fine in Mathematica). WORKAROUND: Just restart Eclipse.

Webel vs Mathematica: The Very Good, The Bad, and The Ugly

Mathematica: TIP: Try //Dataset on just about anything and be amazed! Click on nearly anything to navigate through nearly anything in impressively interactive human-readable format.

Mathematica: How mimic pattern matching of arguments for Boolean?

Mathematica: The awesome Quantity system for values with units is everything the SysMLv1.x Quantity/Unit system should have been (and hopefully SysMLv2 will be)

Daikin Australia air conditioning

Mathematica: TIPS for living with the user-contributed MTools for Object-Orientation (until a vendor-supported OO solution is eventually provided)

Wolfram Workbench for Mathematica: Limitation: Using more than one '$' sign within function names blocks navigation on function usages.

Mathematica: GOTCHA: EntityFunction can only return a scalar (although its the 3rd decade of the 21st century)

Mathematica: The slightly less painful ultimate list of links on Object-Orientation (or the lack thereof) and a public plea to Wolfram Research

Mathematica: The Entity system: useful links

Mathematica: TIP: How to change a value within an Association inline within a Module (like pass by reference)

Mathematica: GOTCHA: Package usages (Needs) are not transitive

Mathematica: HOWTO Find the value of a symbol in all contexts

Mathematica: TIPS: Filename chooser dialogs

GOTCHA/BUG: Cameo Simulation Toolkit v2021xR1 + Mathematica: Delegation to Mathematica from ConstraintBlocks FAILS if any of the input or output parameters are larger than 99999 because they get interpreted as 1.0e5 and that trips something! Aarrrggggh!

LINKS: Wolfram Workbench for Mathematica

HOWTO access custom (user-defined) Mathematica functions using Mathematica v12.3.1.0 as an external maths engine for SysML Parametrics (ConstraintBlocks) in Magic Model Analyst (Cameo Simulation Toolkit) version 2021x or 2021xR1

Mathematica: HOWTO Autoload the simplest possible .m or .wl Package file with a few custom functions

Mathematica + Magic Model Analyst (Cameo Simulation Toolkit) for SysML Parametrics: GOTCHA: You must use a regular '=' on the SysML side, not the Mathematica '==' (or it will be intepreted as a constraint condition to test, not an equation to solve).

HOWTO use Mathematica v12.3.1.0 as an external maths engine for SysML Parametrics (ConstraintBlocks) in Magic Model Analyst (Cameo Simulation Toolkit) version 2021x or 2021xR1

Mathematica: TIP: Package Editor mode: Use cell division between every function in .wl library files to make them more readable (and to make it easier to apply at least some degree automated code formatting per function).

Webel: Mathematica is functional programming on steroids (and has nearly everything else, except for decent in-built OO support).

Webel: Mathematica: WISHLIST: Support for EXTRACTABLE structured documentation for individual arguments to functions RIGHT IN/NEAR THE CODE. Yes it is needed. Really it is.

Webel: Mathematica: WISHLIST: Support for decent vendor-supported, built-in, IDE-aware object-orientation (OO)!

Mathematica: Webel: You CAN/MAY use $ in variable names and function names - just not as the first character before a Capital - and it's extremely useful. You won't get sent to Azkaban prison if do you use a $ character!

Mathematica: Having trouble clearing a variable with complex formatting? Try =.

Mathematica: HOWTO Manage test data for functions using rules across multiple functions (and about the Webel '$0' variable suffix convention for substitution targets).

Mathematica: HOWTO: Strip an option from an OptionsPattern[] sequence before passing down (propagating) to a function with fewer options

Mathematica: Nasser M. Abbasi's cheat sheet

Mathematica: HOWTO Convert a list into a Sequence of arguments to a function (where each of the arguments to the function corresponds to a list item)

Mathematica: HOWTO Create collapsible control groups in Manipulate GUIs

Mathematica: TIP: OverDot: Type CTRL & and then . to enter an OverDot directly

Mathematica: TIP: OverBar: Type CTRL & and then _ to enter an OverBar directly

Mathematica: v12.3.1.0: How to obtain values of physical constants

Mathematica: GOTCHA: MMA distinguishes between Kelvins and KelvinsDifference

Q: What types of simulation, execution, and calculation are available for SysML with MagicDraw/Cameo?

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There are a number of ways of simulating and executing various aspects of Systems Modeling Language (SysML^®), and they are not just novelties! They also really help your models become more robust, logical, and organised.

There is "internal" tool simulation of Activities and StateMachines based on fUML (or variations of it).

External simulation: Languages and tools: SysML vs SysPhS vs Modelica vs Simulink

Gallery

Tutorial

MINI TRAIL: Some recommended tools for getting started with Model-Based Systems Engineering with SysML and simulation with Modelica and/or Simulink

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Wolfram SystemModeler zone

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NEWS: SysML Extension for Physical Interaction and Signal Flow Simulation (SysPhS): New technology assessment trail: TRAIL: SysPhS-1.1 specification body figures in MagicDraw SysML (or Cameo Systems Modeler) vs Modelica

NEWS: SysML Extension for Physical Interaction and Signal Flow Simulation (SysPhS): New technology asse

MagicDraw/Cameo support for the SysML Parametric Diagram and ConstraintBlocks for equations and mathematics is excellent, and it integrates with powerful maths engines such as Mathematica. It CAN be used on industrial strength real-world projects.

Mathematica zone

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Webel IT Australia offers professional consultancy services for applications of the incredibly powerful Wolfram Mathematica to mathematical modelling, data analysis and visualisation, systems modelling, and physics modelling.

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