Discrete Math. Practice. For students of technical specialties

Оглавление

Иван Трещев. Discrete Math. Practice. For students of technical specialties

Introduction

1 Examples of completing tasks

1.1 Tasks for an independent solution

2 Examples of computational and graphic tasks

2.1 Calculation -graphic work 1. 2.1.1 Examples of task execution

2.2 Settlement and graphic work 2. 2.2.1 Example of completing tasks

2.3 Settlement and graphic work 3. 2.3.1 Example of task execution

Conclusion

List of references

Отрывок из книги

This paper presents some of the tasks that can be used in preparation for the Discrete Mathematics course.

The author will be grateful for indicating shortcomings, typos, etc.

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Proof: Each of the smaller triangles cannot cover more than one vertex of a large triangle. According to the Dirichlet principle, there are more cells (in this case, 3 vertices) than rabbits (2 vertices). Therefore, an equilateral triangle cannot be covered by two smaller equilateral triangles.

Problem number 15: prove that (1+x) n ≥ 1+nx.

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