Edge Detour Monophonic Number of a Graph
... cardinality of a monophonic set of G is the monophonic number of G, denoted by m(G). A longest x−y monophonic path is called an x−y detour monophonic path. A set S of vertices of a graph G is a detour monophonic set if each vertex v of G lies on an x − y detour monophonic path for some x, y ∈ S. The ...
... cardinality of a monophonic set of G is the monophonic number of G, denoted by m(G). A longest x−y monophonic path is called an x−y detour monophonic path. A set S of vertices of a graph G is a detour monophonic set if each vertex v of G lies on an x − y detour monophonic path for some x, y ∈ S. The ...
Complex Numbers in Trig Identities II
... We will look at the argument and the magnitude separately. The magnitude of an is obviously n (1 + nx ) 2 which approaches 1 as n approaches infinity. (It’s much easier to be sure of this since there isn’t a pesky i term! That’s the reason we separated it into magnitude and argument). We conclude th ...
... We will look at the argument and the magnitude separately. The magnitude of an is obviously n (1 + nx ) 2 which approaches 1 as n approaches infinity. (It’s much easier to be sure of this since there isn’t a pesky i term! That’s the reason we separated it into magnitude and argument). We conclude th ...
SCHEMES 01H8 Contents 1. Introduction 1 2. Locally ringed spaces
... Proof. Recall that D(g) = Spec(Rg ) (see Algebra, Lemma 16.6). Thus (a) holds because f maps to an element of Rg which is not contained in any prime ideal, and hence invertible, see Algebra, Lemma 16.2. Write the inverse of f in Rg as a/g d . This means g d − af is annihilated by a power of g, whenc ...
... Proof. Recall that D(g) = Spec(Rg ) (see Algebra, Lemma 16.6). Thus (a) holds because f maps to an element of Rg which is not contained in any prime ideal, and hence invertible, see Algebra, Lemma 16.2. Write the inverse of f in Rg as a/g d . This means g d − af is annihilated by a power of g, whenc ...
Topological types of Algebraic stacks - IBS-CGP
... For instance, we can discuss the étale homotopy type of the classifying stack BGm where Gm is the multiplicative group scheme over the complex numbers C. Of course, one can define a homotopy type of an algebraic stack to be the étale topological type of any hypercover which is a simplicial algebraic ...
... For instance, we can discuss the étale homotopy type of the classifying stack BGm where Gm is the multiplicative group scheme over the complex numbers C. Of course, one can define a homotopy type of an algebraic stack to be the étale topological type of any hypercover which is a simplicial algebraic ...
