*The author uses the Stolz-Cesàro theorem to compute the sums of the integer powers.*

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*The author uses the Stolz-Cesàro theorem to compute the sums of the integer powers.*

*Experiments show that people tend to behave "unfairly" in the fair R-P-S games. The authors find the optimal strategies for two cases.*

*In solving an interesting geometric problem, the author shows again the two important steps in applying Ceva's Theorem.*