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README.md
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README.md
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Using styling files from [oysteikt/texmf](https://gitlab.stud.idi.ntnu.no/oysteikt/texmf)
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## Exercises
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| Num | Exercise PDF | Answer PDF | Solutions PDF |
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| --- | ------------------------- | ---------------- | ------------------------- |
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@ -19,8 +20,6 @@ Using styling files from [oysteikt/texmf](https://gitlab.stud.idi.ntnu.no/oystei
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| 11 | [wiki.math.ntnu.no][ex11] | [ex11.pdf][as11] | [wiki.math.ntnu.no][so11] |
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| 12 | [wiki.math.ntnu.no][ex12] | [ex12.pdf][as12] | [wiki.math.ntnu.no][so12] |
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See examples of what the engine for the exam template can do here: [exam_template_graphics.pdf](http://oysteikt.pages.stud.idi.ntnu.no/v21-ma0301/exam_template_graphics.pdf)
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[ex1]: https://wiki.math.ntnu.no/_media/ma0301/2021v/set-1-2021-new.pdf "Exercise 1 Questions"
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[ex2]: https://wiki.math.ntnu.no/_media/ma0301/2021v/set-2-2021-new.pdf "Exercise 2 Questions"
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[ex3]: https://wiki.math.ntnu.no/_media/ma0301/2021v/set-3-2021.pdf "Exercise 3 Questions"
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[so9]: https://wiki.math.ntnu.no/_media/ma0301/2021v/set-9-2021-solutions.pdf "Exercise 9 Solutions"
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[so10]: https://wiki.math.ntnu.no/_media/ma0301/2021v/set-10-2021-solutions.pdf "Exercise 10 Solutions"
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[so11]: https://wiki.math.ntnu.no/_media/ma0301/2021v/set-11-2021-solutions.pdf "Exercise 11 Solutions"
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[so12]: https://wiki.math.ntnu.no/_media/ma0301/2021v/set-12-2021-solutions.pdf "Exercise 12 Solutions"
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[so12]: https://wiki.math.ntnu.no/_media/ma0301/2021v/set-12-2021-solutions.pdf "Exercise 12 Solutions"
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---
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## Automation
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---
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### VSCode snippets
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[See snippets for LaTeX](https://gitlab.stud.idi.ntnu.no/oysteikt/v21-ma0301/-/blob/master/exam_template/.vscode/latex.code-snippets)
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[See snippets for Makefile](https://gitlab.stud.idi.ntnu.no/oysteikt/v21-ma0301/-/blob/master/exam_template/.vscode/makefile.code-snippets)
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---
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### Chrome plugin
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#### Chapter 1. 2. 3. Boolean calculator
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Automates calculating boolean expression step by step by running the input through https://boolean-algebra.com/
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Outputs the resulting set of expressions to either propositional logic, boolean algebra or set operations.
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Converts output to LaTeX
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- [X] Finished
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#### Chapter 4. Induction
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Automates proof by induction by running the input through https://wolframalpha.com/
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Converts output to LaTeX
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- [ ] Finished
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#### Chapter 7. Combinatorics
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Permutations / Combinations Calculator
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Computes permutations and combinations
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Outputs to LaTeX
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- [X] Finished
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---
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### Python framework
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See examples of what the engine for the exam template can do here: [exam_template_graphics.pdf](http://oysteikt.pages.stud.idi.ntnu.no/v21-ma0301/exam_template_graphics.pdf)
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#### Chapter 1. Truthtables (propositional logic)
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**Capabilities:**
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- [X] Calculate and render truthtable for propositional logic expressions
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#### Chapter 3. Sets
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**Capabilities:**
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- [ ] Calculate and output powersets
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#### Chapter 5. Relations
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**Capabilities:**
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Proofs:
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- [X] Check whether relation is reflexive
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- [X] Check whether relation is symmetric
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- [X] Check whether relation is antisymmetric
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- [X] Check whether relation is transitive
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- [X] Check whether relation is an equivalence relation
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- [X] Check whether relation is a partial order
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Graphs:
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- [X] Draw a hasse diagram from a partial order
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- [X] Draw an graph from any relation
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Note: Checking whether a relation has a property in this context means that it goes over every pair of related elements and looks for contradictions. **This program can not prove relation properties algebraically**
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#### Chapter 7. Graph theory
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**Capabilities:**
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Inputs:
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- [X] Input a graph from a matrix
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- [X] Input a graph from a node/edge list
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- [X] Input a complete graph from a node number
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Outputs:
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- [X] Output a graph to a matrix
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- [X] Draw an undirected graph
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- [X] Draw a directed graph
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- [ ] Find a minimal spanning tree with Kruskals algorithm
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#### Chapter 8. Finite state automata
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**Capabilities:**
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- [X] Draw a finite state machine
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- [ ] Output a finite state machine table
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- [ ] Calculate input based on a finite state machine
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