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Everything about Random element
In probability theory, random element is a generalization of the concept of random variable to more complicated spaces than the simple real line. The concept was introduced by Maurice Fréchet who commented:[the] development of probability theory and expansion of area of its applications have led to necessity to pass from schemes where (random) outcomes of experiments can be described by number or a finite set of numbers, to schemes where outcomes of experiments represent, for example, vectors, functions, processes, fields, series, transformations, and also sets or collections of sets. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Random elementA 5-minute orientation
- Skim a recent paper: Comparing 2D and 3D slope stability in spatially variable soils using random finite-element methodInfluential work since 2022
- Pick up a classic book: Integrated Advanced Microwave Sounding Unit-A (AMSU-A)The most-reprinted book on the subject
- Read the landmark paper: Stochastic Finite Element Expansion for Random MediaCited 370 times
- Go sideways: Standard probability spaceA closely related topic
- Go sideways: Conditional probability distributionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Stochastic Finite Element Expansion for Random Media
Collocation-based stochastic finite element analysis for random field problems
Effect of element sizes in random field finite element simulations of soil shear strength
Basis random variables in finite element analysis
Finite Element Modeling of Settlements on Spatially Random Soil
Multiple random crack propagation using a boundary element formulation
Stochastic Finite-Element Analysis of Soil Layers with Random Interface
Practical random field discretization in stochastic finite element analysis
🆕 Influential since 2022
Comparing 2D and 3D slope stability in spatially variable soils using random finite-element method
Random finite element analysis of a clay-core-wall rockfill dam considering three-dimensional conditional random fields of soil parameters
A stochastic finite element scheme for solving partial differential equations defined on random domains
Unsaturated soil nailing wall system reliability analysis using random finite element
Stochastic dynamic analysis of rolling ship in random wave condition by using finite element method
📚 Books worth reading
- 📕Integrated Advanced Microwave Sounding Unit-A (AMSU-A)R. Mehitretter · 1996
- 📕Correlation of finite element free vibration predictions using random vibration test dataJeffrey A. Chambers · 1994
- 📕Equivalent linearization analysis of geometrically nonlinear random vibrations using commercial finite element codesStephen A. Rizzi · 2002
- 📕Earth Observing System (EOS)/Advanced Microwave Sounding Unit-A (AMSU-A), stress analysis report, A1 module · 1996
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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