For a magma chamber to form, the right conditions have to exist, including particular temperatures, pressures, and structural formations. Magma chambers are under such great pressure that, over time, they can eventually break the rock surrounding the chamber.
A normed vector space is a pair (V, âÂ·â) where V is a vector space and âÂ·â a norm on V.A seminormed vector space is a pair (V, p) where V is a vector space and p a seminorm on V.imilarly, for any semi-normed vector space we can define the distance between two vectors u and v as â u â v â. This turns the seminormed space into a pseudometric space (notice this is weaker than a metric) and allows the definition of notions such as continuity and convergence.
When the scalar field F is the real numbers R, the vector space is called a real vector space. When the scalar field is the complex numbers C, the vector space is called a complex vector space. These two cases are the ones used most often in engineering. The general definition of a vector space allows scalars to be elements of any fixed field F. The notion is then known as an F-vector spaces or a vector space over F. A field is, essentially, a set of numbers possessing addition, subtraction, multiplication and division operations.