Search results
Results from the WOW.Com Content Network
The birational point of view can afford to be careless about subsets of codimension 1. To have a moduli space as a scheme is on one side a question about characterising schemes as representable functors (as the Grothendieck school would see it); but geometrically it is more like a compactification question, as the stability criteria revealed.
The stability of fixed points of a system of constant coefficient linear differential equations of first order can be analyzed using the eigenvalues of the corresponding matrix. An autonomous system ′ =, where x(t) ∈ R n and A is an n×n matrix with real entries, has a constant solution =
In narratology, focalisation is the perspective through which a narrative is presented, as opposed to an omniscient narrator. [1] Coined by French narrative theorist Gérard Genette, his definition distinguishes between internal focalisation (first-person) and external focalisation (third-person, fixed on the actions of and environments around a character), with zero focalisation representing ...
The appearance or the disappearance of a periodic orbit through a local change in the stability properties of a fixed point is known as the Hopf bifurcation. The following theorem works for fixed points with one pair of conjugate nonzero purely imaginary eigenvalues. It tells the conditions under which this bifurcation phenomenon occurs.
Literary realism is a literary genre, part of the broader realism in arts, that attempts to represent subject-matter truthfully, avoiding speculative fiction and supernatural elements. It originated with the realist art movement that began with mid- nineteenth-century French literature ( Stendhal ) and Russian literature ( Alexander Pushkin ...
In mathematics, a fixed point (sometimes shortened to fixpoint), also known as an invariant point, is a value that does not change under a given transformation. Specifically, for functions, a fixed point is an element that is mapped to itself by the function. Any set of fixed points of a transformation is also an invariant set.
In his thesis, Boyce identified a pair of functions that commute under composition, but do not have a common fixed point, proving the fixed point conjecture to be false. [ 14 ] In 1963, Glenn Baxter and Joichi published a paper about the fixed points of the composite function h ( x ) = f ( g ( x ) ) = g ( f ( x ) ) {\displaystyle h(x)=f(g(x))=g ...
The FBISE was established under the FBISE Act 1975. [2] It is an autonomous body of working under the Ministry of Federal Education and Professional Training. [3] The official website of FBISE was launched on June 7, 2001, and was inaugurated by Mrs. Zobaida Jalal, the Minister for Education [4] The first-ever online result of FBISE was announced on 18 August 2001. [5]