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Everything about Exponential field
Mathematical field with an extra operation
In mathematics, an exponential field is a field with a further unary operation that is a homomorphism from the field's additive group to its multiplicative group. This generalizes the usual idea of exponentiation on the real numbers, where the base is a chosen positive real number. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Exponential fieldA 5-minute orientation
- Skim a recent paper: Energy-decreasing exponential time differencing Runge–Kutta methods for phase-field modelsInfluential work since 2022
- Pick up a classic book: Night ShiftThe most-reprinted book on the subject
- Read the landmark paper: On the real exponential field with restricted analytic functionsCited 101 times
- Go sideways: Tarski's exponential function problemA closely related topic
- Go sideways: Schanuel's conjectureA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
On the real exponential field with restricted analytic functions
Homogeneous scalar field cosmologies with an exponential potential
Inflation in an exponential-potential scalar field model
Finite dimensional exponential attractor for the phase field model
Time-delayed exponential field-programmed sedimentation field flow fractionation for particle-size-distribution analyses
Retention Characteristics of Time-Delayed Exponential Field-Programmed Sedimentation Field-Flow Fractionation
Asymmetric-channel flow field-flow fractionation with exponential force-field programming
Fractionating power in programmed field-flow fractionation: exponential sedimentation field decay
🆕 Influential since 2022
Energy-decreasing exponential time differencing Runge–Kutta methods for phase-field models
An Exponential Time Differencing Runge–Kutta Method ETDRK32 for Phase Field Models
Phase-field modeling of brittle fracture in functionally graded materials using exponential finite elements
Rapid miRNA detection enhanced by exponential hybridization chain reaction in graphene field-effect transistors
Barrow entropic cosmology with exponential potential field
📚 Books worth reading
Night ShiftStephen King · 1960
Works (Carrie / Night Shift / 'Salem's Lot / Shining)Stephen King · 1981
Transcendence in fields of positive characteristicJ. M. Geijsel · 1979- 📕Theory and applications of finite fieldsInternational Conference on Finite Fields and Applications (10th 2011 Ghent, Belgium) · 2012
- 📕Zeta functions in algebra and geometryInternational Workshop on Zeta Functions in Algebra and Geometry (2nd 2010 Universitat de Les Illes Balears) · 2012
- 📕Scholar, a scientific celebration highlighting open lines of arithmetic researchAlina Carmen Cojocaru, Chantal David · 2015
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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