Discussion Overview
The discussion centers around the meaning of the notation \bold{R}^2-\{\bold{0}\}, particularly in the context of set notation and its interpretation in mathematical literature. Participants explore its implications in relation to the Cartesian plane and set arithmetic.
Discussion Character
- Technical explanation, Conceptual clarification, Debate/contested
Main Points Raised
- One participant notes the notation \bold{R}^2-\{\bold{0}\} is used to represent the Cartesian plane with the origin excluded, but expresses hesitation in assuming this meaning based on previous encounters with similar notation.
- Another participant asserts that the notation means the same as R - {0}, referencing historical terminology related to "set arithmetic" and suggesting that modern notation uses X\Y instead.
- A third participant confirms the previous point, indicating that the LaTeX representation for the set difference operator is \setminus.
- A final participant expresses gratitude for the clarifications provided.
Areas of Agreement / Disagreement
Participants generally agree on the interpretation of the notation as representing the Cartesian plane excluding the origin, but there is some variation in the terminology and notation preferences, indicating a lack of consensus on the historical context and modern usage.
Contextual Notes
The discussion does not resolve the nuances of the notation's historical usage versus modern conventions, nor does it clarify the implications of using different notations in various contexts.