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Everything about Indicator function
Mathematical function characterizing set membership
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 defined by if and otherwise. Other common notations are 𝟙A and Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Indicator functionA 5-minute orientation
- Skim a recent paper: Anastomotic Height Is a Valuable Indicator of Long-term Bowel Function Following Surgery for Rectal CancerInfluential work since 2022
- Pick up a classic book: Lagrangian analysis and quantum mechanicsThe most-reprinted book on the subject
- Read the landmark paper: H0 And Related Indicator Acidity FunctionCited 546 times
- Go sideways: Probability theoryA closely related topic
- Go sideways: Conditional expectationA closely related topic
📖 Definitions
Noun A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set.
🏆 Landmark papers (most cited)
H0 And Related Indicator Acidity Function
Alpha-1-microglobulin: an indicator protein for renal tubular function.
Impaired albumin function: a novel potential indicator for liver function damage?
Ocular counterrolling as an indicator of vestibular otolith function
Handgrip Strength: An Irreplaceable Indicator of Muscle Function
Globular cluster luminosity function as distance indicator
Stair Climbing as an Indicator of Pulmonary Function
Stimulated skin wrinkling as an indicator of limb sympathetic function
🆕 Influential since 2022
Anastomotic Height Is a Valuable Indicator of Long-term Bowel Function Following Surgery for Rectal Cancer
Urinary creatinine excretion is an indicator of physical performance and function
Dickkopf 3—A New Indicator for the Deterioration of Allograft Function After Kidney Transplantation
Ionic liquid treated cellulose-based intelligent pH-responsive color indicator film, with excellent anti-ultraviolet function
lnc-IL7R Expression Reflects Physiological Pulmonary Function and Its Aberration Is a Putative Indicator of COPD
📚 Books worth reading
Lagrangian analysis and quantum mechanicsJean Leray · 1981- 📕Colorado adult literacy concerns · 1994
- 📕Consultation on functional status surveillance for states and communitiesNational Center for Chronic Disease Prevention and Health Promotion (U.S.) · 1992
- 📕Istochnik narodnogo blagosostoi͡a︡nii͡a︡Nikolaĭ Makarovich Tikhonov · 1979
- 📕Competencias básicas de la población adultaDavid Bravo · 2001
- 📕Metallin volyymi-indeksiAugust Leppä · 1979
- 📕France in the global economyAlain N. Kabundi · 2007
- 📕Using production based asset pricing to explain the behavior of stock returns over the business cycleJohn H. Cochrane · 1989
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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