In mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all other elements to zero. That is, if A is a subset of some set X, then the indicator function of A is the function ![](\"https://wikimedia.org/api/rest_v1/media/math/render/svg/ed4a6cdf0babfdaa63fa048de3d9b8d0a4c06522\")
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{"type":"standard","title":"Thousand cankers disease","displaytitle":"Thousand cankers disease","namespace":{"id":0,"text":""},"wikibase_item":"Q17119323","titles":{"canonical":"Thousand_cankers_disease","normalized":"Thousand cankers disease","display":"Thousand cankers disease"},"pageid":24278874,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Thousand_Cankers_Disease.JPG/330px-Thousand_Cankers_Disease.JPG","width":320,"height":353},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/c/c8/Thousand_Cankers_Disease.JPG","width":1760,"height":1943},"lang":"en","dir":"ltr","revision":"1276304241","tid":"357f749a-ed9c-11ef-a4f6-db3e3c925253","timestamp":"2025-02-18T02:01:04Z","description":"Disease of walnut trees","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Thousand_cankers_disease","revisions":"https://en.wikipedia.org/wiki/Thousand_cankers_disease?action=history","edit":"https://en.wikipedia.org/wiki/Thousand_cankers_disease?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Thousand_cankers_disease"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Thousand_cankers_disease","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Thousand_cankers_disease","edit":"https://en.m.wikipedia.org/wiki/Thousand_cankers_disease?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Thousand_cankers_disease"}},"extract":"Thousand cankers disease (TCD) is a recently recognized disease of certain walnuts. The disease results from the combined activity of the walnut twig beetle and a canker producing fungus, Geosmithia morbida. Until July 2010 the disease was only known to the western United States where over the past decade it has been involved in several large scale die-offs of walnut, particularly black walnut, Juglans nigra. However, in late July 2010 a well-established outbreak of the disease was found in the Knoxville, Tennessee, area. This new finding is the first locating it within the native range of its susceptible host, black walnut. In 2013, an outbreak was found in the Veneto region of Italy, where the disease has been found on both black walnut and English walnut.","extract_html":"
Thousand cankers disease (TCD) is a recently recognized disease of certain walnuts. The disease results from the combined activity of the walnut twig beetle and a canker producing fungus, Geosmithia morbida. Until July 2010 the disease was only known to the western United States where over the past decade it has been involved in several large scale die-offs of walnut, particularly black walnut, Juglans nigra. However, in late July 2010 a well-established outbreak of the disease was found in the Knoxville, Tennessee, area. This new finding is the first locating it within the native range of its susceptible host, black walnut. In 2013, an outbreak was found in the Veneto region of Italy, where the disease has been found on both black walnut and English walnut.
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