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In mathematics, transversality is a notion that describes how spaces can intersect; transversality can be seen as the "opposite" of tangency, and plays a role in general position. It formalizes the idea of a generic intersection in differential topology. It is defined by considering the linearizations of the intersecting spaces at the points of ...
An important result about transversality states that if a smooth map is transverse to , then () is a regular submanifold of . If X {\displaystyle X} is a manifold with boundary , then we can define the restriction of the map f {\displaystyle f} to the boundary, as ∂ f : ∂ X → Y {\displaystyle \partial f\colon \partial X\rightarrow Y} .
All India Secondary School Examination, commonly known as the class 10th board exam, is a centralized public examination that students in schools affiliated with the Central Board of Secondary Education, primarily in India but also in other Indian-patterned schools affiliated to the CBSE across the world, taken at the end of class 10. The board ...
Class 10th students give exam in five core subjects which are English, Hindi/other languages of India (regional), Mathematics, Science and Social Studies.(If it is state board then Compulsory State language is taken )There is an option of choosing a sixth subject of your choice like Computer Science, Information Technology, Music, Fine Arts ...
The proof depends on and is intimately related to the transversality properties of smooth manifolds—see Thom transversality theorem. By reversing this construction, John Milnor and Sergei Novikov (among many others) were able to answer questions about the existence and uniqueness of high-dimensional manifolds: this is now known as surgery theory.
Most important task of the board, among few others, is to conduct the SSC for 10th class and HSC for 12th class examinations. [2] It is the most popular education board in terms of enrollment in high school in India only after the Central Board of Secondary Education.
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We consider the subfibration of the product variety | | with fiber above the linear system of hyperplanes that intersect X non-transversally at x.. The rank of the fibration in the product is one less than the codimension of , so that the total space has lesser dimension than and so its projection is contained in a divisor of the complete system | |.