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model-intro
Conservation of extensities
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MSP
Materials
model-intro
index
476265
Commit
476265
2024-11-23 12:25:12
Nuno Oliveira
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MSP/Materials/model-intro/index.md
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# An introduction to mathematical modeling:
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1. Components, types of models and model characterisitics (an [introduction](/MSP/Contents/model-intro/msp-introducao.pdf)).
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4. Main [functionalities](/MSP/Contents/model-intro/model-functions.png) for models (**usage tasks**).
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5. [Types of models](/MSP/Contents/model-intro/model-types.pdf).
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6. [==Model building process==](/MSP/Model%20building%20steps) and [phases](/MSP/Contents/model-intro/modeling-steps.png).
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1. Extensive properties (**extensities**) and the remaining system variables.
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2. Conservation principles for extensities **(invariants / symmetries)**
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3. Inputs and outputs (types of systems).
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4. Types of mathematical system models.
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5. Computer environments for manipulation of mathematical models.
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7. [Qualitative](/MSP/Contents/model-intro/influence-model.png) models example.
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8. [Linearity](/MSP/Contents/model-intro/model-linearity.png) of models.
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9. Canonical model [forms](/MSP/Contents/model-intro/canonical-model-forms.png).
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10. Input / output [configurations](/MSP/Contents/model-intro/system-io-types.png).
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11. Extensive state variables ([extensities](/MSP/Contents/model-intro/state-vars-extensities.png)).
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1. Components, types of models and model characterisitics (an [introduction](/MSP/Materials/model-intro/msp-introducao.pdf)).
+
4. Main [functionalities](/MSP/Materials/model-intro/model-functions.png) for models (**usage tasks**).
+
5. [Types of models](/MSP/Materials/model-intro/model-types.pdf).
+
6. [==Model building process==](/MSP/Model%20building%20steps) and [phases](/MSP/Materials/model-intro/modeling-steps.png).
+
+
7. [Qualitative](/MSP/Materials/model-intro/influence-model.png) models example.
+
8. [Linearity](/MSP/materials/model-intro/model-linearity.png) of models.
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9. Canonical model [forms](/MSP/Materials/model-intro/canonical-model-forms.png).
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10. Input / output [configurations](/MSP/Materialsmodel-intro/system-io-types.png).
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11. Extensive state variables ([extensities](/MSP/Materials/model-intro/state-vars-extensities.png)).
12. Examples of real systems (inside / outside ChemE):
* World model: [description](https://insightmaker.com/insight/2pCL5ePy8wWgr4SN8BQ4DD/The-World3-Model-Classic-World-Simulation), [Wikipedia page](https://en.wikipedia.org/wiki/World3).
* Danish economy ([DREAM-DK/MAKRO](https://dreamgroup.dk/economic-models/makro)).
13. Computer systems for model manipulation:
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* [OpenModelica](/MSP/Contents/computer-tools/OpenModelica-2016.pdf).
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* [OpenModelica](/MSP/Materials/computer-tools/OpenModelica-2016.pdf).
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