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Everything about Smooth structure
Maximal smooth atlas for a topological manifold
In mathematics, a smooth structure on a manifold allows for an unambiguous notion of smooth function. In particular, a smooth structure allows mathematical analysis to be performed on the manifold. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Smooth structureA 5-minute orientation
- Skim a recent paper: Achieving Smooth Motion for Piezoelectric Stick–Slip Actuator With the Inertial Block StructureInfluential work since 2022
- Pick up a classic book: Plane smoothers for multiblock gridsThe most-reprinted book on the subject
- Read the landmark paper: Turbulence structure in rough- and smooth-wall boundary layersCited 223 times
- Go sideways: Differentiable manifoldA closely related topic
- Go sideways: Differential structureA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Turbulence structure in rough- and smooth-wall boundary layers
The Smooth Variable Structure Filter
Engineering smooth muscle tissue with a predefined structure
The structure of atomically smooth spherical surfaces
Kalman and smooth variable structure filters for robust estimation
Myosin filament structure in vertebrate smooth muscle.
Structure-borne sound on a smooth tyre
The smooth variable structure filter: A comprehensive review
🆕 Influential since 2022
Achieving Smooth Motion for Piezoelectric Stick–Slip Actuator With the Inertial Block Structure
The Interacting Multiple Model Smooth Variable Structure Filter for Trajectory Prediction
Ultrafine powder coating: Smooth surface, dense structure and enhanced corrosion resistance
Nicotine affects mitochondrial structure and function in human airway smooth muscle cells
A Novel Smooth Variable Structure Filter for Target Tracking Under Model Uncertainty
📚 Books worth reading
- 📕Plane smoothers for multiblock gridsIgnacio M. Llorente · 1999
- 📕Dynamical Systems, Ergodic Theory, and ProbabilityAlexander M. Blokh, Leonid A. Bunimovich · 2017
- 📕Fractal geometry and dynamical systems in pure and applied mathematicsPISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics (2011 Messina, Italy) · 2013
- 📕Dynamical systems (1984-2012)John Willard Milnor · 2014
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Differentiable manifold In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow…
- Differential structure In mathematics, an n-dimensional differential structure (or differentiable structure) on a set M makes M into an n-dimensional differential manifold, which…
- Principal bundle In the mathematical area of topology, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product…
- Manifold In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n-dimensional manifold, or…
- Submersion (mathematics) In mathematics, a submersion is a differentiable map between differentiable manifolds whose differential pushforward is everywhere surjective. It is a…
- Diffeomorphism In mathematics, a diffeomorphism is an isomorphism of differentiable manifolds. It is an invertible function that maps one differentiable manifold to another…
- Fiber bundle In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally…
- Foliation In mathematics, a p-dimensional foliation is a partition of a manifold into submanifolds, all of the same dimension p, locally modeled on the decomposition…