Search: keyword:invariance
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Displaying 1-10 of 13 results found.
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BP510 |
| Bongard Problems that can change the way they sort examples over time vs. other Bongard Problems. |
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BP535 |
| Visual Bongard Problems such that flipping over the vertical axis (left/right) can switch an example's side vs. visual Bongard Problems whose examples' sorting doesn't change under such a transformation. |
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BP539 |
| Meta Bongard Problems such that if the sides of an example Bongard Problem are switched its sorting within the meta Problem may switch vs. meta Bongard Problems that always sort flipped versions on the same side. |
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BP552 |
| Orientation-dependent Bongard Problems vs. orientation-independent visual Bongard Problems. |
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COMMENTS
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Left examples have the keyword "handed" on the OEBP.
If mirroring any example along the any axis can change its sorting the BP is "handed."
Note that BPs about comparing orientation between multiple things in one example fit on the right side. |
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CROSSREFS
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See BP871 for the version with pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.
The keyword leftright is specifically about flipping over the vertical axis, while the keyword updown is specifically about flipping over the horizontal axis.
Bongard Problems tagged rotate are usually "handed", since any rotation can be created by two reflections. Not necessarily, however, since the reflected step in between might not be sorted on either side by the Bongard Problem.
Adjacent-numbered pages:
BP547 BP548 BP549 BP550 BP551  *  BP553 BP554 BP555 BP556 BP557
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KEYWORD
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meta (see left/right), links, keyword, invariance, wellfounded
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WORLD
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visualbp [smaller | same | bigger] zoom in left (handed_visualbp)
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AUTHOR
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Aaron David Fairbanks
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BP553 |
| Rotation-dependent Bongard Problems vs. rotation-independent visual Bongard Problems. |
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BP554 |
| Size-dependent Bongard Problems vs. size-independent visual Bongard Problems. |
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BP556 |
| Visual Bongard Problems such that if black and white are switched some examples switch sides vs. visual Bongard Problems that would always sort two switched versions the same way. |
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BP964 |
| Bongard Problems such that making repeated small changes can switch an example's sorting vs. Bongard Problems in which the two sides are so different that it is impossible to cross the gap by making successive small changes to examples while staying within the class of examples sorted by the Bongard Problem (there is no middle-ground between the sides; there is no obvious choice of shared ambient context both sides are part of). |
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COMMENTS
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Right-sorted BPs have the keyword "gap" on the OEBP.
A Bongard Problem with a gap showcases two completely separate classes of objects.
For example, the Bongard Problem "white vs. black" (BP962) has a gap; there is no obvious choice of shared context between the two sides. One could imagine there is a spectrum of grays between them, or that there is a space of partially filled black-and-white images between them, or any number of other ambient contexts.
Bongard Problems about comparing quantities on a spectrum should not usually be considered "gap" BPs. (Discrete spectra perhaps.) A spectrum establishes a shared context, with examples on both sides of the BP landing somewhere on it. (However, if it is reasonable to imagine getting the solution without noticing a spectrum in between, it could be a gap, since the ambient context is unclear.)
Bongard Problems with gaps may seem particularly arbitrary when the two classes of objects are particularly unrelated. |
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CROSSREFS
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If a Bongard Problem has a "gap" it is likely precise: it will likely be clear on which side any potential example fits.
"Gap" implies stable. (This technically includes cases in which ALL small changes make certain examples no longer fit in with the Bongard Problem, as is sometimes the case in "gap" BPs. See also BP1144.)
See also preciseworld. "Gap" Bongard Problems would be tagged "preciseworld" when the two classes of objects are each clear; it is then apparent that there is no larger shared context and that no other types of objects besides the two types would be sorted by the Bongard Problem.
See BP1140, which is about any (perhaps large) additions instead of repeated small changes.
Adjacent-numbered pages:
BP959 BP960 BP961 BP962 BP963  *  BP965 BP966 BP967 BP968 BP969
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KEYWORD
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unwordable, meta (see left/right), links, keyword, sideless, invariance
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AUTHOR
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Aaron David Fairbanks
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