Search results
Results From The WOW.Com Content Network
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 ...
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 ...
As another example, there can be no local diffeomorphism from the 2-sphere to Euclidean 2-space, although they do indeed have the same local differentiable structure. This is because all local diffeomorphisms are continuous , the continuous image of a compact space is compact, and the 2-sphere is compact whereas Euclidean 2-space is not.
Let M and N be differentiable manifolds and : be a differentiable map between them. The map f is a submersion at a point if its differential: is a surjective linear map. [1] In this case p is called a regular point of the map f, otherwise, p is a critical point.
Free response tests are a relatively effective test of higher-level reasoning, as the format requires test-takers to provide more of their reasoning in the answer than multiple choice questions. [4] Students, however, report higher levels of anxiety when taking essay questions as compared to short-response or multiple choice exams.
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 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 ...
A reference to a standard or choice-free presentation of some mathematical object (e.g., canonical map, canonical form, or canonical ordering). The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes.