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Powering the Future - 立命館大学

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Ritsumeikan University College of Science and Engineering<br />

Research/Development Areas<br />

Probability <strong>the</strong>ory and numerical analysis<br />

Associate Professor / Kenji YASUTOMI, Assistant Professor / Yasufumi NITTA<br />

The study of modern probability <strong>the</strong>ory.<br />

If <strong>the</strong> “result” that can be obtained is limited (two sides of a coin<br />

toss or <strong>the</strong> throw of a dice etc) <strong>the</strong> probability of each “result”<br />

primarily considered, however, <strong>the</strong> obtainable “result” will be<br />

non-countable and unlimited, in that <strong>the</strong> probability of each “result”<br />

in <strong>the</strong> limited case results in a contrariety, even if a value<br />

could be set for <strong>the</strong> probability.<br />

Modern probability <strong>the</strong>ory resolves this dilemma by abstracting<br />

<strong>the</strong> concept and measuring <strong>the</strong> size, thus enabling probability<br />

that is non-countable and has unlimited “results” to be considered.<br />

However, that abstraction does result in a new dilemma:<br />

<strong>the</strong> existence of an assembly for which <strong>the</strong> size cannot be measured.<br />

As revealed above probability <strong>the</strong>ory is an interesting research<br />

subject. It is also an interesting ma<strong>the</strong>matical<br />

field that has <strong>the</strong> aspect of<br />

being actually applicable in various<br />

parts in society by being linked to<br />

statistical methods.<br />

■Ma<strong>the</strong>matics can be pondered anywhere <strong>the</strong>re is<br />

a blackboard and chalk or paper and pencil.<br />

5 Ritsumeikan University <strong>Powering</strong> <strong>the</strong> <strong>Future</strong>

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