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Everything about Approximation
Something roughly the same as something else
An approximation is anything that is intentionally similar but not exactly equal to something else. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: ApproximationA 5-minute orientation
- Skim a recent paper: Uniform manifold approximation and projectionInfluential work since 2022
- Pick up a classic book: FaustThe most-reprinted book on the subject
- Read the landmark paper: Generalized Gradient Approximation Made SimpleCited 212,046 times
- Go sideways: Asymptotic analysisA closely related topic
- Go sideways: PiA closely related topic
📖 Definitions
Noun The act, process or result of approximating, as: An imprecise solution or result that is adequate for a defined purpose. The act of bringing together the edges of tissue to be sutured.
Noun An imprecise solution or result that is adequate for a defined purpose.
Noun The act of bringing together the edges of tissue to be sutured.
Noun The act of producing a near-simulation of the pronunciation of a foreign language for a loanword therefrom, or any given pronunciation resulting from that act.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Generalized Gradient Approximation Made Simple
Density-functional exchange-energy approximation with correct asymptotic behavior
Greedy function approximation: A gradient boosting machine.
Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation
Density-functional approximation for the correlation energy of the inhomogeneous electron gas
Note on an Approximation Treatment for Many-Electron Systems
Generalized Gradient Approximation Made Simple [Phys. Rev. Lett. 77, 3865 (1996)]
Approximation by superpositions of a sigmoidal function
🆕 Influential since 2022
Uniform manifold approximation and projection
Prior-Based Tensor Approximation for Anomaly Detection in Hyperspectral Imagery
FCclasses3: Vibrationally‐resolved spectra simulated at the edge of the harmonic approximation
Approximation-Free Robust Synchronization Control for Dual-Linear-Motors-Driven Systems With Uncertainties and Disturbances
Infrared Small Target Detection via Nonconvex Tensor Fibered Rank Approximation
📚 Books worth reading
FaustJohann Wolfgang von Goethe · 1800
Poema de mio CidAnonymous · 1868
ἈνάβασιςXenophon · 1623
Dē vītā CaesarumSuetonius · 1470
Doctor FaustusChristopher Marlowe · 1662
Den Danske KrønickeSaxo Grammaticus, Hans Matthias Velschow · 1534
Epistulae morales ad LuciliumSeneca the Younger · 1611
Makura no sōshiSei Shōnagon · 1917
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Asymptotic analysis In mathematical analysis, asymptotic analysis, also known as asymptotics, is the development and application of methods that generate an approximate analytical…
- Pi The number π (/paɪ/ ; spelled out as pi) is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its…
- Approximations of pi Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning…
- Perturbation theory In mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related…
- E (mathematical constant) The number e is a mathematical constant that is the base of the natural logarithm and exponential function. It is approximately equal to 2.718281828459045235360…
- Trigonometric table In mathematics, tables of trigonometric functions are useful in a number of areas. Before the existence of pocket calculators, trigonometric tables were…
- Richardson extrapolation In numerical analysis, Richardson extrapolation is a method used to estimate some value A∗=limh→0A(h) if the truncation error is known to have a (possibly…
- Numerical analysis Numerical analysis is the study of algorithms for the problems of continuous mathematics. These algorithms involve real or complex variables (in contrast…