Lesson plan

Ordered vector space

of all y such that x \leq y (in red). The order here is x \leq y if and only if x_1 \leq y_1 and x_2 \leq y_2. In mathematics, an ordered vector space or partially ordered vector space is a real vector space equipped with a partial order that is compatible with the vector space operations.

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Article summary

of all y such that x \leq y (in red). The order here is x \leq y if and only if x_1 \leq y_1 and x_2 \leq y_2. In mathematics, an ordered vector space or partially ordered vector space is a real vector space equipped with a partial order that is compatible with the vector space operations.

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Discussion questions

  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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