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The h-principle is good for underdetermined PDEs or PDRs, such as the immersion problem, isometric immersion problem, fluid dynamics, and other areas. The theory was started by Yakov Eliashberg, Mikhail Gromov and Anthony V. Phillips. It was based on earlier results that reduced partial differential relations to homotopy, particularly for ...
A smooth embedding is an injective immersion f : M → N that is also a topological embedding, so that M is diffeomorphic to its image in N. An immersion is precisely a local embedding – that is, for any point x ∈ M there is a neighbourhood, U ⊆ M, of x such that f : U → N is an embedding, and conversely a local embedding is an ...
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Types of language immersion can be characterized by the total time students spend in the program and also by the students' age. Types that are characterized by learning time: Total immersion: In total immersion, the language of instruction is the students' L2, meaning that students spent 100% of the school day in their L2.
Immersion lithography is a technique used in semiconductor manufacturing to enhance the resolution and accuracy of the lithographic process. It involves using a liquid medium, typically water, between the lens and the wafer during exposure.
The multiplicity of terms used to refer to instructional approaches for the integration of content and language learning (immersion, CBI, CBLT, CLIL, EMI) can be a source of confusion in EIL studies, although they all commonly share the purpose of additive bilingualism via a dual focus on content and language learning.
An illustration of OPC (Optical Proximity Correction). The blue Γ-like shape is what chip designers would like printed on a wafer, in green is the pattern on a mask after applying optical proximity correction, and the red contour is how the shape actually prints on the wafer (quite close to the desired blue target).
Immersion lithography or immersion microscopy, optical techniques in which liquid is between the objective and image plane in order to raise numerical aperture; Immersion (mathematics), a smooth map whose differential is everywhere injective, related to the mathematical concept of an embedding