The On-Line Encyclopedia of Bongard Problems

Search: keyword:miniproblems

Displaying 21-30 of 61 results found.

( prev | next ) page 1 2 3 4 5 6 7

Sort: id Format: long Filter: (all | no meta | meta) Mode: (words | no words)

BP874

Solution is a quantity comparison vs. solution does not involve quantity.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`See BP873 for comparisons based on discrete quantities vs. comparisons based on continuous quantities. All examples in that Bongard Problem fit left here.` `Similar to BP200 with sides flipped--however, "Bongard Problem based on quantity" is a more general criterion than "Bongard Problem based on discrete counting."` `See BP507 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP869 BP870 BP871 BP872 BP873 * BP875 BP876 BP877 BP878 BP879`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes [smaller \| same \| bigger] zoom in left (bpimage_shapes_quantity_soln)`
	AUTHOR	`Aaron David Fairbanks`

BP875

Problem would sort all relevant examples vs. possible objects similar to those seen on both sides would have no clear sorting.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`Left examples partition a pool of objects cleanly into two classes.`
	CROSSREFS	`See BP509 (keyword "allsorted") for the version with links to pages on the OEBP instead of images of Bongard Problems.` `The left side implies BP876^left.` `Adjacent-numbered pages: BP870 BP871 BP872 BP873 BP874 * BP876 BP877 BP878 BP879 BP880`
	KEYWORD	`hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP876

Precise sorting of potential examples vs. not so.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`Left Bongard Problems do not have to sort all relevant examples; if they would leave some border cases unsorted, it just has to be clear precisely which examples those would be.` `Often a precise divide between values on a spectrum comes from intuitively "crossing a threshold." For example, there is an intuitive threshold between acute and obtuse angles. Two sides of a Bongard Problem on opposite ends of a threshold, coming close to it, are interpreted as having precise divide between sides, right up against that threshold.`
	CROSSREFS	`See BP508 for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP871 BP872 BP873 BP874 BP875 * BP877 BP878 BP879 BP880 BP881`
	KEYWORD	`hard, notso, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes [smaller \| same \| bigger] zoom in left (bpimage_shapes_exact_sort)`
	AUTHOR	`Aaron David Fairbanks`

BP877

"Less than vs. greater than" (or vice versa) vs. "equal to vs. greater than" (or less than).

(edit; present; nest [left/right]; search; history)

	COMMENTS	`Left examples are quantity-comparison Problems in which the dividing point on the spectrum separating the sides lands between them. Right examples are quantity-comparison Problems in which the dividing point is the entirety of one of the sides (always the left side, for clarity).` `Only less-than vs. greater-than Problems may have imprecise (BP876^right) dividing point between sides.`
	CROSSREFS	`Adjacent-numbered pages: BP872 BP873 BP874 BP875 BP876 * BP878 BP879 BP880 BP881 BP882`
	KEYWORD	`hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes_quantity_soln [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP878

Some object(s) fit precisely between the sides vs. there is no object fitting between the sides.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`"Allsorted" Bongard Problems (BP875^left) always fit as right examples.` `Left examples are never "allsorted".`
	CROSSREFS	`Adjacent-numbered pages: BP873 BP874 BP875 BP876 BP877 * BP879 BP880 BP881 BP882 BP883`
	KEYWORD	`hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes_exact_sort [smaller \| same \| bigger] zoom in left \| zoom in right (bpimage_shapes_exact_sort_no_midway)`
	AUTHOR	`Aaron David Fairbanks`

BP879

Solution involves one absolute quantity vs. solution involves relative quantity (comparing two quantities).

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP874 BP875 BP876 BP877 BP878 * BP880 BP881 BP882 BP883 BP884`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes_quantity_soln [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP880

Non-overlapping sides (patterns are disjoint) vs. possible object(s) could fit in overlap of sides (patterns intersect).

(edit; present; nest [left/right]; search; history)

	COMMENTS	`"Allsorted" Bongard Problems (BP875^left) always fit on the left.`
	CROSSREFS	`Adjacent-numbered pages: BP875 BP876 BP877 BP878 BP879 * BP881 BP882 BP883 BP884 BP885`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Aaron David Fairbanks`

BP881

Right pattern is "part of" left pattern (proper subset) vs. right pattern is not subset of left pattern.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`No one object is included on both sides of a dividing line in any example. Left examples when seen as Bongard Problems may either read as "not [right pattern] vs. [right pattern]" or have no unconvoluted solution at all, depending on whether the left side includes any objects that would fit in with the right side.`
	CROSSREFS	`Adjacent-numbered pages: BP876 BP877 BP878 BP879 BP880 * BP882 BP883 BP884 BP885 BP886`
	KEYWORD	`abstract, handed, leftright, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes_nosoln_allowed [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP894

Examples fit solution (once it is known) relatively obviously vs. examples fit solution in subtle or complex, harder-to-see ways.

(edit; present; nest [left/right]; search; history)

	COMMENTS	`One left and one right example with each solution are shown.` `This BP is fuzzy for multiple reasons. How obvious it is that an example fits a rule is subjective. Also, somebody could read the simplicity of all included examples as part of a Bongard Problem's solution. For example, the more obvious version of "square number of dots vs. non-square number of dots" could be interpreted as "square small number of dots arranged in easy-to-read way vs. non-square small number of dots arranged in easy-to-read way."` `Whether this Bongard Problem solution would categorize an image of itself left or right depends on the difficulty of the solutions of the mini-Problems.`
	CROSSREFS	`See keyword help.` `See keyword hardsort.` `Adjacent-numbered pages: BP889 BP890 BP891 BP892 BP893 * BP895 BP896 BP897 BP898 BP899`
	KEYWORD	`fuzzy, abstract, notso, subjective, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP948

Image of Bongard Problem such that pixel-inverting examples flips the solution vs. image of Bongard Problem such that pixel-inverting examples leaves the solution invariant.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`See BP556 (keyword blackwhite) for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP943 BP944 BP945 BP946 BP947 * BP949 BP950 BP951 BP952 BP953`
	KEYWORD	`meta (see left/right), miniproblems, presentationinvariant`
	CONCEPT	`black_white_inversion (info \| search)`
	AUTHOR	`Leo Crabbe`

( prev | next ) page 1 2 3 4 5 6 7

		Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)