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Everything about Set function
Function from sets to numbers
In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes its values in the extended real number line which consists of the real numbers and Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Set functionA 5-minute orientation
- Skim a recent paper: Evaluation of large language models for discovery of gene set functionInfluential work since 2022
- Pick up a classic book: Real AnalysisThe most-reprinted book on the subject
- Read the landmark paper: Self-consistent molecular orbital methods. XX. A basis set for correlated wave functionsCited 17,435 times
- Go sideways: Measure (mathematics)A closely related topic
- Go sideways: Radon–Nikodym theoremA closely related topic
📖 Definitions
Noun A mathematical function whose input is a set (usually of real numbers or a set of points in the Euclidean or some measure space), and whose output is usually a number.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Self-consistent molecular orbital methods. XX. A basis set for correlated wave functions
Efficient diffuse function‐augmented basis sets for anion calculations. III. The 3‐21+G basis set for first‐row elements, Li–F
Patterns in Hydrogen Bonding: Functionality and Graph Set Analysis in Crystals
The Agenda-Setting Function of Mass Media
🆕 Influential since 2022
Evaluation of large language models for discovery of gene set function
Distributed strategy selection: A submodular set function maximization approach
Double set-function Choquet integral with applications
Advances in Set Function Learning: A Survey of Techniques and Applications
Labeled Private Set Intersection From Distributed Point Function
📚 Books worth reading
Real AnalysisH. L. Royden, Patrick Fitzpatrick · 1963
Sets, Functions, and LogicKeith J. Devlin · 1981- 📕Vorlesungen über reelle FunktionenConstantin Carathéodory · 1918
- 📕The elements of the theory of real functionsJohn E. Littlewood · 1926
Algebra 2McGraw-Hill · 1998
A graphical approach to precalculus with limitsE. John Hornsby · 2003
Theorie der eindeutigen analytischen funktionenG. Vivanti · 1906- 📕Intégrales de Lebesgue, fonctions d'ensemble, classes de BaireCharles Jean de La Vallée Poussin · 1916
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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