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Your half's bigger than my half!

Article Abstract:

Fair distribution, as in the case of apportioning a piece of cake to more than two constituents, may be achieved by taking note of the preferences of partakers. Using an algorithm developed 2,800 years ago, experts have come up with a systematic method of subdividing a cake into equal parts.

Author: Stewart, Ian
Publisher: Scientific American, Inc.
Publication Name: Scientific American
Subject: Science and technology
ISSN: 0036-8733
Year: 1998
Methods, Recreation, Mathematical research, Distribution (Probability theory)

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Repealing the law of averages

Article Abstract:

Some people believe that the law of averages will likely even out circumstances due to the "memory" of standard mathematical models of processes. However, processes do not have any "memory", making the probability in coin tosses always 1/2.

Author: Stewart, Ian
Publisher: Scientific American, Inc.
Publication Name: Scientific American
Subject: Science and technology
ISSN: 0036-8733
Year: 1998
Research, Analysis, Probabilities, Probability theory, Random walks (Mathematics), Random walk theory, Random variables

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The riddle of the vanishing camel

Article Abstract:

A mathematical problem is presented in which a man with 17 camels must give one son half of the herd, another son one-third of the herd and another son one-ninth of the herd. Variations of this problem are discussed.

Author: Stewart, Ian
Publisher: Scientific American, Inc.
Publication Name: Scientific American
Subject: Science and technology
ISSN: 0036-8733
Year: 1992
Models, Usage, Mathematics, Variables (Mathematics)

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