Wolfram

Wolfram Player Pro is a low cost desktop application deployment solution for Mathematica Notebooks. It is "read only" w.r.t. new command lines, but end users can of course input data via Graphical User Interface (GUI) form elements. It supports truly rapid development GUIs that hide all of the complexity of the Wolfram Language.

Mathematica: Webel: ADT pseudo classes: POLICY: The expression '$$' is reserved as the primary named parameter for the defining pattern of all ADT classes that extend the universal base 'ADT' class.

Mathematica: Webel: You get compelling incremental value out of Mathematica even if you don't yet command all of the syntax and massive powers of the Wolfram Language!

Webel on Mathematica and the Wolfram Language vs Python. Python is not even close, not even vaguely close, it's not in the same league, as the Wolfram Language and Mathematica!

TIP: Mathematica: COMING SOON! Webel's ultimate guide to using Abstract Data Types to create pseudo-classes WITH INHERITANCE in Wolfram Language, all modelled in SysML! [There's already some examples and some detailed policy notes.]

TIP: Mathematica: The IntelliJ IDEA Plugin for Mathematica is HEAPS better than the Eclipse-based Wolfram Workbench!

Mathematica: TIP: Notebooks: Automatic Cell Grouping driving you up the wall? Try Manual Grouping and make it part of your workflow!

Mathematica: The output form of Mathematica follows internal rules that may not always correspond exactly to how a human might typeset it.

Cameo Simulation Toolkit: You can use Mathematica as an external maths engine to share maths between an OpaqueBehavior and a ConstraintBlock using custom auto-loaded Mathematica functions (keeps a project nice and DRY and respects Single Source of Truth)

SysMLv1.x: Limitation: The 'body' (maths formula) of an OpaqueBehavior can't be synchronised (shared) with the 'constraint' of a ConstraintBlock (directly in the SysML model). Can lead to a WET (not DRY) model and breaks Single Source of Truth!

Mathematica: v13.2+: Division of one temperature by another will result in a numeric ratio given by the value of both temperatures in Kelvin.

Source

Wolfram Language (Mathematica) online help reference

Mathematica: v13.2+: Division by temperature units will produce a quantity equivalent to the temperature converted to Kelvin before division, with results canonically given in Kelvin.

Source

Wolfram Language (Mathematica) online help reference

GOTCHA: Mathematica v13.2+: Operations on "DegreesFahrenheit" °F and "DegreesCelsius" °C are now performed using Kelvins (K). CASE: Naive percentage operation gives answer relative to Kelvins. Use "DegreesCelsiusDifference"/"DegreesFahrenheitDifference"!

Mathematica: Notebooks: Automatic Cell Grouping mode can be a "royal pain", turn it off by setting Cell > Grouping > Manual Grouping

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Jump to first slide

Example 01: Values from 'tdb' and relative humidity 'r'

Sections

GOTCHA: Mathematica: Specific enthalpy conversion J/kg to Btu/lb: Does not consider a possible "total" enthalpy reference offset vs 0 °C or 0 °F respectively

Mathematica: HOWTO: Add every element of one list to the end of another list

The Webel Recipe for SysML-friendly Wolfram Language coding in Mathematica

Keywords

As part of a long term project developed, initially during work for a client, Webel IT Australia in partnership with GreenSoft Pty Ltd is developing a very complex Mathematica application with substantial SysML modelling support.

Mathematica: Wolfram Player Pro 13.1: NotebookDelete[] does not work

Mathematica: TIP: Use And@@ to test whether all elements of a List are True

TIP: Mathematica: Use of For is often a hint that Map, Table, Scan, or something else more functional could be used. But don't stress over it!

The integration between Wolfram Workbench and Mathematica is partly gammy (as of latest versions 2022-08-23)

Mathematica: TIP: Wolfram Notebooks are the best testing environment I've ever used!

Mathematica: ISSUE with all Entity operations on MMAv13.0.0.0 vs macOS Monterey 12.3 or 12.4 ["solved" by upgrade to MMA 13.1.0.0]

CoolProp: Mathematica: Mac: HOWTO get CoolProp for Mathematica running on Apple M1 Max and Mathematica13

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

Webel: Mathematica: TIP: Maintain a Package library of Quantity variables for frequently used units using a naming convention unit$[unitSymbol] and unit[DescriptiveName] or unit[Acronym]

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 wrapper binaries 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. (Or just use the IntelliJ IDEA Plugin for Mathematica, which does variable and function renaming well.)

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 pseudo "Boolean" (including providing a default)?

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). But it comes at a high performance cost!

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: TIP: LINKS: 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 (or just use the far superior IntelliJ IDEA Plugin)

HOWTO access custom (user-defined) Mathematica functions using Mathematica v13.2 as an external maths engine for SysML Parametrics (ConstraintBlocks) in Magic Model Analyst (Cameo Simulation Toolkit) versions 2021x, 2021xR1, 2022xR1

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 v12.3.2 as an external maths engine for SysML Parametrics (ConstraintBlocks) in Magic Model Analyst (Cameo Simulation Toolkit) versions 2021x, 2021xR1, 2022xR1

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, although you can make some progress with Abstract Data Types and even some inheritance).

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, fully fledged, IDE-friendly, object-orientation (OO)! [With or without the use of state, which is a choice, not obligatory, and OO doesn't throw functional away]

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

Wolfram SystemModeler: Not clear how to draw a connect that already exists in the Modelica code

Wolfram SystemModeler: On Mac the Unit Conversions dialog is under SystemModeler -> Preferences -> Global -> Unit Conversion (rather than under Tools -> Options)

Wolfram SystemModeler: GOTCHA: The conversion dialog will not offer the Add Unit Conversion button unless there is not already an existing conversion in BOTH directions.

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

Section

TEST of MagicDraw SysML export to Modelica vs Wolfram SystemModeler

Keywords

The MagicDraw SysML Plugin and Magic Cyber-Systems Engineer ^® (Cameo Systems Modeler^®) have some ability to export to the Modelica modelling and simulation language. It targets currently primarily OpenModelica.

Wolfram SystemModeler zone

Keywords

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 [using Wolfram SystemsModeler]

NEWS: SysML Extension for Physical Interaction and Signal Flow Simulation (SysP

Mathematica zone

Keywords

Please email or phone Webel IT Australia on +61 405 029 008 to enquire about our Mathematica services!

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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