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Tag Archives: mathematics
Mahjong Seating, Rotation Problem
About two months ago, I was invited to join a Mahjong party that involved three square game tables and twelve players (four players per table). After each (of the six) round(s) the seating assignment changes: the goal being to maximize the … Continue reading
Posted in Programming in Python
Tagged combinations, computer science, Mahjong, mathematics, permutations, Programming, Python, randomizer, randomness, statistics
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Apollonius’ Theorem
An interesting relationship found in geometry involves the measurements of the sides of a triangle and the measurement of the triangle’s median. In the following diagram the median of the triangle (with sides X and Y) is indicated by Z. … Continue reading
Arithmetic and Geometric Sequences, Given Values of Two Terms
A common problem found in IB mathematics textbooks (all levels), is to describe a sequence (either arithmetic or geometric) from two term values in the sequence. e.g. Determine the nthterm equation of a sequence given that the seventh term is … Continue reading
Systems of Linear Functions and their Reciprocals
Recently, I’ve been exploring the relationship between systems of linear functions and their reciprocals, namely: