Selected Problems Of The Vietnamese Mathematica... -

Deep dives into roots and coefficients that require more than just Vieta’s formulas.

At first glance, the sequence grows very slowly because we are adding small fractions. However, as stays within a range , we are repeatedly adding

This problem is inspired by classic VMO analysis questions, which often bridge the gap between high school algebra and university-level calculus. Let a sequence be defined by Selected Problems of the Vietnamese Mathematica...

Utilizing radical axes or harmonic bundles (a Vietnamese specialty).

xn+1=xn+1⌊xn⌋x sub n plus 1 end-sub equals x sub n plus the fraction with numerator 1 and denominator the floor of x sub n end-floor end-fraction Deep dives into roots and coefficients that require

The Vietnamese Mathematical Olympiad (VMO) is legendary in the competitive math world for its grueling multi-day format and its penchant for "beautifully difficult" geometry and functional equations.

Proving bounds or convergence in sequences. Let a sequence be defined by Utilizing radical

. The beauty of the problem lies in proving that it doesn't "skip" over an integer due to the discrete steps. Why this matters Vietnamese problems frequently focus on: