Lagtävlingen 2025/2026 - uppsatser

Lagtävlingen 2024/2025 - uppsatser

Lagtävlingen 2023/2024 - uppsatser

Lagtävlingen 2022/2023 - uppsatser

Lagtävlingen 2019/2020 - uppsatser

 

The Centre of Gravity of a Triangle

Classical Diophantine Equations

Symmetrical Polynomials and Muirhead Inequality

Non-combinatorial Ideas in Combinatorics

Methods for Solving Functional Equations

Binomial Coefficients and Pascal’s Triangle

Directed Angles

Geometric Inequalities

Introduction to Ramsey Theory

Bertrand’s Postulate

Cyclotomic Polynomials

Pell’s Equation

The Pigeon Hole Principle, Variants and Applications

Some Famous Points in a Triangle

Recursive Equations and the Generating Function

Quadratic Reciprocity

Karamata’s Inequality and its Applications

Lifting the Exponent Lemma

The Method of Colouring in Combinatorics

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Applications of Complex Numbers in Geometry

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Diophantine Equations

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Functional Equations

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Lagtävlingen 2021/2022 - uppsatser

 

Euler’s Theorem for Polyhedra

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Invariants and Monovariants

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Orders and Primitive Roots

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The Method of Moving Points

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Lagtävlingen 2020/2021 - uppsatser

 

Duality in Projective Geometry. The Theorems of Menelaus, Ceva and Desargues

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Mathematical Induction in Different Contexts

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Points and Lines in Combinatorial Geometry

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Proofs of Non-Existence – Methods and Examples

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The Orthocentre and the Pedal Triangle of a Triangle

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