lecturenotes 72
- Pythagoras' theorem
- Parallelograms
- Polygons
- Quadratic reciprocity
- Infinite descent
- Lifting the exponent
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- Triangles
- Primes
- Orders
- Gauss's lemma
- Chinese remainder theorem
- System of equations
- Primes, divisors, and congruences
- Binomial coefficients
- Using identities
- Cubic polynomials
- Quadratic polynomials
- Induction
- Functions
- Inequalities
- System of equations
- Functional equations
- Integer divisibility
- Lagrange interpolation
- Crossing the $x$-axis
- Roots of unity
- Size of the roots
- Generating functions
- Counting in two different ways
- Counting the complement
- Counting via bijections
- Counting
- Grouping in pairs
- Arrange in order
- Extremal principle
- Pigeonhole principle
- Invariance principle
- Inclusion-exclusion principle
- Induction
- Auxiliary configuration
- Rational and irrational numbers
- Arithmetic progressions
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- RMO 2024 Questions, Hints, Walkthroughs, Discussions, Solutions
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- RMO 2010 Questions, Hints, Walkthroughs, Discussions, Solutions
- Binomial theorem
- Growth of polynomials
- Telescoping
- Finite differences
- Differentiation and multiple roots
- Viete's relations
- Quartics
- Cubic polynomials
- Quadratic polynomials
- Polynomials
- Invariance principle
- $a^3 + b^3 + c^3 - 3abc$
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