Mathematica zone

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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. Mathematica can also be used for rapid development of GUI applications within Mathematica Notebooks that can be deployed in Wolfram Player Pro.
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!
Mathematica can be used as an external maths engine for SysML Parametrics!
Visit also: Mathematica and Wolfram SystemModeler tips, issues, and wishlist tracking
Visit also: The Webel SysML4Mathematica recipe for modelling Wolfram Language code in Systems Modeling Language (SysML) for Model-Based Systems Engineering
NEWS: New trail demonstrating applications of Mathematica, SysML/MBSE, and CoolProp to Psychrometrics (humid air physics): TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class
Visit also: 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!
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!
Notes
Relevant snippets (from other sources)
Visit also
Service: Wolfram Mathematica: Data analysis, mapping, transformation, and visualisation
Wolfram SystemModeler zone
Mathematica and Wolfram SystemModeler tips, issues, and wishlist tracking
Visit also (backlinks)
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: SysML4Mathematica: Convention: A prefix '$doc' indicates a documentation String for each primary variable/quantity (argument or output)
Webel: SysML4Mathematica: Convention: A prefix 'sym$' indicates a markup variable "symbol" for a documented variable. It need not be a String, but each referenced part MUST be a String, not a raw Mathematica Symbol, to avoid namespace clashes!
Webel: SysML4Mathematica: Does every bit of the Mathematica code need to be modelled in SysML? No. Typically just the main function parameters and their interdependencies, data structures, and main code logic. Except for special or educational purposes.
Webel: SysML4Mathematica: POLICY: Handle flow sign changes via a single negative (not duplicated and "adjusted" algebra). This strategy may come at a very slight performance cost (for benefit of more robustness).
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)
HOWTO: MagicDraw/Cameo: v2022Refresh1: JDK 11 download compatible with the modelling tools AND Apple Silicon (ARM) machines (such as M1 Max)
Webel: SysML4Mathematica: Yes, SysML Activities and SysML Activity Diagrams CAN represent functional programming paradigms! You can type Parameters by encapsulations of functions and pass them to/from InputPins/OutputPins of Actions.
Webel: SysML4Mathematica: TIP: Representing Mathematica Paclets and their inter-dependencies as SysML Packages modelled in SysML Package Diagrams can really help you organise your Wolfram Language code on complex projects!
Webel: SysML4Mathematica: TIP: Representing Mathematica functions as SysML ConstraintBlocks modelled in Block Definition Diagram (BDD) overviews can really help you organise and document your Wolfram Language code on complex projects!
Webel: SysML4Mathematica: TIP: Representing Mathematica functions as SysML ConstraintBlocks modelled in SysML Parametric Diagrams and as Activities in SysML Activity Diagrams is super for analysing the dependencies between functions and their arguments!
Webel: SysML4Mathematica: TIP: Exported SysML Diagrams can be embedded in Mathematica Notebooks!
Webel: SysML4Mathematica: Convention: A Mathematica Blank '_' (which pattern-matches any Expression) is represented by a custom SysML ValueType '_'
SysML4Mathematica: Example: Block Definition Diagram overview of ConstraintBlocks, their parameters, and ConstraintBlock usages representing lower-level Webel Psy library Psychrometrics functions and CoolProp wrapper usages
Webel: SysML4Mathematica: An Association used as the Type of an argument or return is represented by a Block '<||>'. A List used as as the Type of an argument or return is represented by a Block '{}'.
The Webel SysML4Mathematica recipe for modelling Wolfram Language code in Systems Modeling Language (SysML) for Model-Based Systems Engineering
SysML/UML: MagicDraw/Cameo: GOTCHA: Connecting a typed OutputPin to an untyped (UNSPECIFIED) InputPin with an ObjectFlow changes the type of the InputPin
Webel: SysML4Mathematica: Convention: A '$E' in a function name indicates that all parameters (arguments and return) are Mathematica '_' expressions. However, when representing such functions as Activities they may end up getting strongly typed in tools!
Webel: SysML4Mathematica: When modelling the logic flow of Mathematica code with Activity diagrams it is not necessary to model every single Mathematica construct. Placeholder OpaqueBehaviors (used via CallBehaviorActions) and OpaqueActions may be used.
Webel: SysML4Mathematica: Cameo Systems Modeler: Can perform calculations with a custom Quantity ValueType (for Mathematica) directly, but DOES NOT perform units-aware algebra (no automatic conversions)
Webel: SysML4Mathematica: An '@' prefix in the name of a Block indicates a Mathematica data structure (such as an Association or List) that is not represented by an MTools class in the Mathematica code
Webel: SysML4Mathematica: An '@' prefix in the name of a ConstraintBlock, Activity, or OpaqueBehavior indicates that it is not represented by a dedicated function in a Mathematica code library (typically for minor maths or logic)
TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class
The Webel Recipe for SysML-friendly Wolfram Language coding in Mathematica
Mathematica: Wolfram Player Pro 13.1: NotebookDelete[] does not work
Mathematica: v13.1: There is an undocumented command MessagesNotebook[]
Mathematica: 'Through' is your more functional friend.
THE BIG TIP: You brain has many facets: code + graphical engineering is greater than either alone
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: 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)
Webel + Mathematica + MTools + SysML
Mathematica: LINKS: Manipulating Strings and using RegularExpression
Mathematica: GOTCHA: Null is tricky!
Webel vs Mathematica: The Very Good, The Bad, and The Ugly
Mathematica: How mimic pattern matching of arguments for pseudo "Boolean" (including providing a default)?
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
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
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
External simulation: Languages and tools: SysML vs SysPhS vs Modelica vs Simulink
MINI TRAIL: Some recommended tools for getting started with Model-Based Systems Engineering with SysML and simulation with Modelica and/or Simulink
Modelica zone
Maple zone
Service: Wolfram Mathematica: Data analysis, mapping, transformation, and visualisation
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Wolfram Mathematica
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