Editing 2735: Coordinate Plane Closure
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==Explanation== | ==Explanation== | ||
− | + | {{incomplete|Created by a NOTAM generator - Please change this comment when editing this page. Do NOT delete this tag too soon.}} | |
− | + | This comic is a "Math Notice," which is presumably a warning or reminder for mathematicians or others who interact with the field of mathematics, in a similar way to how a "Travel Notice" may prewarn drivers of planned road closures for repairs (or [https://www.cameroncountytx.gov/spacex/ rocketry]). Specifically, this one advises those who are using the coordinate plane to avoid drawing any graphs in the area with a hole until the damage is patched or fixed. This comic invents this concept of Math Notices, and is also very similar to that of a {{w|Notice to mariners}} or {{w|NOTAM|airmen}}, where nautical or aeronautical navigation might be impinged by a clear area (or volume) that should be kept clear from in the near future. The comic also resembles notices from websites or software providers about planned maintenance, which alert users about upcoming outages. | |
{{w|Coordinate planes}} are used in math for drawing graphs. The joke here is that a small section has been "closed for maintenance," likening the concept of a coordinate plane to an actual physical platform used by math, which is therefore vulnerable to damage such as is shown in the comic. In reality, the coordinate plane cannot be damaged as it is not a tangible thing.{{citation needed}} | {{w|Coordinate planes}} are used in math for drawing graphs. The joke here is that a small section has been "closed for maintenance," likening the concept of a coordinate plane to an actual physical platform used by math, which is therefore vulnerable to damage such as is shown in the comic. In reality, the coordinate plane cannot be damaged as it is not a tangible thing.{{citation needed}} | ||
− | Closure in mathematics can be a term relating to sets, specifically operations on sets, and a coordinate plane is a particular set of numbers. A set is closed under an operation if all the "answers" to the operation are also in the set. The coordinate plane is said to be closed under vector addition for example - adding together any two coordinates produces another coordinate in the plane. Many functions and operators may be said to have closure on the real plane, and this comic may be a pun on that term. However, if there actually is a hole in the plane, then suddenly the plane will no longer exhibit closure. | + | Closure in mathematics can be a term relating to sets, specifically operations on sets, and a coordinate plane is a particular set of numbers. A set is closed under an operation if all the "answers" to the operation are also in the set. The coordinate plane is said to be closed under vector addition for example - adding together any two coordinates produces another coordinate in the plane. Many functions and operators may be said to have closure on the real plane, and this comic may be a pun on that term. However, if there actually is a hole in the plane, then suddenly the plane will no longer exhibit closure. More on closure can be found here: {{w|https://en.wikipedia.org/wiki/Closure_problem}} |
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Closure can also be used in another sense, relating to the topology of a set; roughly speaking, a description of what parts of the set are "close" to others. In this sense, if one takes the closure of a plane with a hole, the result is indeed an intact plane, provided the hole is sufficiently (infinitesimally) small. | Closure can also be used in another sense, relating to the topology of a set; roughly speaking, a description of what parts of the set are "close" to others. In this sense, if one takes the closure of a plane with a hole, the result is indeed an intact plane, provided the hole is sufficiently (infinitesimally) small. | ||
− | The title text | + | The title text clarifies some of the unwanted effects of drawing a graph into the hole, stating that two-dimensional graph lines might accidentally become three-dimensional and interfere with the graphs made there. |
− | + | ==Transcript== | |
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+ | :<big>⚠️ Math Notice ⚠️</big>[emojis written without color] | ||
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:The coordinate plane will be closed Thursday between (1.5, 1) and (2, 1.5) to repair a hole. | :The coordinate plane will be closed Thursday between (1.5, 1) and (2, 1.5) to repair a hole. | ||
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− | + | :[A coordinate graph is shown, with a gray hole between (1.5, 1) and (2, 1.5). There are small fractures around the hole. The hole is highlighted with two dots in the corners of a hollow rectangle with split border lines.] | |
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:If your graph uses this area, please postpone drawing until Friday or transform it to different coordinates. | :If your graph uses this area, please postpone drawing until Friday or transform it to different coordinates. | ||
{{comic discussion}} | {{comic discussion}} | ||
+ | [[Category:Math]] | ||
[[Category:Charts]] | [[Category:Charts]] | ||
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