Two-Variable Logic over Countable Linear Orderings
... We say that a language L ⊆ A◦ is recognised by the ◦-monoid M, if there is a morphism, γ : A◦ → M and a subset S ⊆ M such that L = γ −1 (S). The syntactic ◦-monoid of a language L is the minimal ◦-monoid M recognising L that has the following universal property: any ◦-monoid recognising L has a morp ...
... We say that a language L ⊆ A◦ is recognised by the ◦-monoid M, if there is a morphism, γ : A◦ → M and a subset S ⊆ M such that L = γ −1 (S). The syntactic ◦-monoid of a language L is the minimal ◦-monoid M recognising L that has the following universal property: any ◦-monoid recognising L has a morp ...
ADVANCED TECHNIQUES OF INTEGRATION Contents 1. Basic
... and substitute in for A and φ. 3.2. Hyperbolic Functions. When dealing with integrals of hyperbolic functions, there are two general ways to proceed. We can either evaluate them with the substitution ex = u or using hyperbolic identities, such as cosh2 x − sinh2 x = 1. The substitution method is mor ...
... and substitute in for A and φ. 3.2. Hyperbolic Functions. When dealing with integrals of hyperbolic functions, there are two general ways to proceed. We can either evaluate them with the substitution ex = u or using hyperbolic identities, such as cosh2 x − sinh2 x = 1. The substitution method is mor ...
A refinement of the Artin conductor and the base change conductor
... the group of nth roots of unity in R. If K is a field, we write K alg for an algebraic closure of K and K sep for the separable closure of K in K alg . If L/K is a finite field extension, we write [L : K] for its degree, and if L/K is Galois, we write Gal(L/K) := Aut(L/K). If we are given a discrete ...
... the group of nth roots of unity in R. If K is a field, we write K alg for an algebraic closure of K and K sep for the separable closure of K in K alg . If L/K is a finite field extension, we write [L : K] for its degree, and if L/K is Galois, we write Gal(L/K) := Aut(L/K). If we are given a discrete ...
![arXiv:math/0609622v2 [math.CO] 9 Jul 2007](http://s1.studyres.com/store/data/014863311_1-2ba4c2a5c0b25ba9b8b8b609b66b2122-300x300.png)