Search results
Results From The WOW.Com Content Network
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 immersion. [3] For infinite dimensional manifolds, this is sometimes taken to be the definition of an immersion. [4]
On-the-job training (widely known as OJT) is an important topic of human resource management. It helps develop the career of the individual and the prosperous growth of the organization. On-the-job training is a form of training provided at the workplace. During the training, employees are familiarized with the working environment they will ...
Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
The notion of a closed immersion is local in the sense that f is a closed immersion if and only if for some (equivalently every) open covering = the induced map : is a closed immersion. [ 5 ] [ 6 ] If the composition Z → Y → X {\displaystyle Z\to Y\to X} is a closed immersion and Y → X {\displaystyle Y\to X} is separated , then Z → Y ...
In the same paper, Massey proved that for every n there is manifold (which happens to be a product of real projective spaces) that does not immerse in (). The conjecture that every n -manifold immerses in S 2 n − a ( n ) {\displaystyle S^{2n-a(n)}} became known as the immersion conjecture .
In mathematics education, a representation is a way of encoding an idea or a relationship, and can be both internal (e.g., mental construct) and external (e.g., graph). Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate ...
Claytor obtained his Ph.D. from the University of Pennsylvania in 1933 with the dissertation Topological Immersion of Peanian Continua in a Spherical Surface, directed by John R. Kline, [3] who had also supervised Woodard's thesis and was himself a student of R. L. Moore (of the Moore method). [4]
Immersive learning is a learning method with students being immersed into a virtual dialogue, the feeling of presence is used as an evidence of getting immersed. The virtual dialogue can be created by two ways, the usage of virtual technics, and the narrative like reading a book.