In mathematics, an immersion is a differentiable function between differentiable manifolds whose differential pushforward is everywhere injective. Explicitly...

aperture Immersion (mathematics), a smooth map whose differential is everywhere injective, related to the mathematical concept of an embedding Immersion (virtual...

French immersion is a form of bilingual education in which students who do not speak French as a first language will receive instruction in French. In...

In algebraic geometry, a closed immersion of schemes is a morphism of schemes f : Z → X {\displaystyle f:Z\to X} that identifies Z as a closed subset...

In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is...

In mathematics, the Klein bottle (/ˈklaɪn/) is an example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon...

In the mathematical field of topology, a regular homotopy refers to a special kind of homotopy between immersions of one manifold in another. The homotopy...

differential topology. The notion of a submersion is dual to the notion of an immersion. Let M and N be differentiable manifolds and f : M → N {\displaystyle...

theorem Cohen, Ralph L. (1985). "The immersion conjecture for differentiable manifolds". Annals of Mathematics. 122 (2): 237–328. doi:10.2307/1971304...

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...

Adding (or subtracting) 0 to any number leaves that number unchanged; in mathematical terminology, 0 is the additive identity of the integers, rational numbers...

Press Adachi, Masahisa (1993), Embeddings and Immersions, translated by Hudson, Kiki, American Mathematical Society, ISBN 0-8218-4612-4 Skopenkov, Arkadiy...

Baptism (from Koinē Greek: βάπτισμα, romanized: váptisma, lit. 'immersion, dipping in water') is a Christian sacrament of initiation almost invariably...

Stephen (1959b). "The classification of immersions of spheres in Euclidean spaces". Annals of Mathematics. Second Series. 69 (2): 327–344. doi:10.2307/1970186...

that it is the "least bent" immersion of a projective plane into three-space. The Wikibook Famous Theorems of Mathematics has a page on the topic of:...

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional...

mathematics, a normal bundle is a particular kind of vector bundle, complementary to the tangent bundle, and coming from an embedding (or immersion)...

in an early-immersion program) in reading, spelling, punctuation, mathematics, and science for the first few years. However, such immersion-enrolled students...

Mandarin Immersion Magnet School (MIMS), formerly Mandarin Chinese Language Immersion Magnet School (MCLIMS), is a magnet school in Houston, Texas, United...

Stephen Smale. His thesis was entitled Immersions of Manifolds. In 2012, he became a fellow of the American Mathematical Society. Hirsch had 23 doctoral students...

History, Art, Psychology, Film Studies, Theatre, Mathematics, and Theory of Knowledge. French immersion students entering the IB Programme may opt to take...

two-way/dual language immersion and developmental (late-exit) bilingual education. Both programs are considered language immersion programs. A program that...

Corbett, J.; Harper, M. (November 1, 2017). "Cold water immersion: kill or cure?: Cold water immersion: kill or cure?". Experimental Physiology. 102 (11):...

The Cherokee Immersion School (ᏣᎳᎩ ᏧᎾᏕᎶᏆᏍᏗ, Tsalagi Tsunadeloquasdi) is a Cherokee language immersion school in Park Hill, Oklahoma, with a Tahlequah post...

of an immersion map f : N → M {\displaystyle f:N\rightarrow M} ; in general this image will not be a submanifold as a subset, and an immersion map need...

{\displaystyle L_{q}} to any of their sublevel sets. Kuiper, N.H. (2001) [1994], "Tight and taut immersions", Encyclopedia of Mathematics, EMS Press v t e v t e...

In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C that makes the objects of C act like the open sets...

Stephen (1958), "A classification of immersions of the two-sphere", Transactions of the American Mathematical Society, 90 (2): 281–290, doi:10.2307/1993205...

Arithmetic Curves, define immersions as the composite of an open immersion followed by a closed immersion. These immersions are immersions in the sense above...

ISBN 978-3-319-11734-8. Bueno, Otávio; French, Steven (2018). Applying Mathematics: Immersion, Inference, Interpretation. Oxford University Press. ISBN 978-0-19-881504-4...