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Everything about Partial function
Function whose actual domain of definition may be smaller than its apparent domain
In mathematics, a partial function f from a set X to a set Y is a function from a subset S of X to Y. The subset S, that is, the domain of f viewed as a function, is called the domain of definition or natural domain of f. If S equals X, that is, if f is defined on every element in X, then f is said to be a total function. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Partial functionA 5-minute orientation
- Skim a recent paper: Time-dependent probability density function for partial resetting dynamicsInfluential work since 2022
- Pick up a classic book: Differential and Difference Equations with ApplicationsThe most-reprinted book on the subject
- Read the landmark paper: Characterization of the Partial Autocorrelation FunctionCited 109 times
- Go sideways: BijectionA closely related topic
- Go sideways: Injective functionA closely related topic
📖 Definitions
Noun A function whose domain is a subset of the set on which it is formally defined; i.e., a function f: X→Y for which values f(x) are defined only for x ∈ W, where W ⊆ X.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Characterization of the Partial Autocorrelation Function
Endocrine function following complex partial seizures
Partial classification in the belief function framework
Arterial CO2 partial pressure affects diaphragmatic function
Partial fraction decomposition of the Fermi function
Neuromuscular Function after Arthroscopic Partial Meniscectomy
Function Following Partial Fibulectomy
Partial differentials of Marcum's Q function
🆕 Influential since 2022
Time-dependent probability density function for partial resetting dynamics
A partial Drp1 knockout improves autophagy flux independent of mitochondrial function
Partial order relation–based gene ontology embedding improves protein function prediction
Subsampling for partial least-squares regression via an influence function
Generalized Partial-Slice Monogenic Functions: A Synthesis of Two Function Theories
📚 Books worth reading
Differential and Difference Equations with ApplicationsSandra Pinelas, Michel Chipot · 2013
Linear partial differential operatorsLars Hörmander · 1964
Sur les propriétés des fonctions définies par les équations aux différences ..Henri Poincaré · 1879
Functional analytic methods for partial differential equationsHiroki Tanabe · 1997- 📕Variational Methods in Nonlinear AnalysisDimitrios C. Kravvaritis, Athanasios N. Yannacopoulos · 2020
A topological introduction to nonlinear analysisRobert F. Brown · 2003
Symmetry and separation of variablesWillard Miller · 1977
Geometry of Banach Spaces, Duality Mappings and Nonlinear ProblemsI. Cioranescu · 1990
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Surjective function In mathematics, a surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's…
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