J.D./M.P.H. - Admissions - University of Maine School of Law

Maine Law’s J.D./M.P.H dual degree program with the University of Southern Maine's Muskie School of Public Service is an accelerated program that allows students to obtain a Juris Doctor (J.D.) deg...

abstract algebra - If $f(x), g(x) \in \Bbb Z_p[x]$, and $v_{p}(g(\alpha)) = t ~\

Let $f(x), g(x) \in \Bbb{Z}_{p}[x]$(where $\Bbb Z_p$ is the set of all $p$-adic integers). Also, assume that $f(x)$ is a monic polynomial of degree $n$ and $g(x)$ be any polynomial of degree $m \ge...

algebraic geometry - Linear system of degree $d$ curves passing $m$ times throug

Given a point $P$ in $\mathbb{P}^2$ and a natural number $m$ we consider the linear system $\mathcal{L}$ of curves of degree $d$ passing $m$ times through $P$. If $H$ is the line class of the plane...

algebraic topology - Generalization of degree of a map (reference request) - Mat

Let $f:M\to N$ be a continuous map between two oriented manifolds of dimension $n$. There are a lot of alternative definitions of degree, but I'm only interested in the following one. Since $M,N$ are

BINDING NUMBER AND MINIMUM DEGREE FOR FRACTIONAL (k,m)-DELETED GRAPHS | Bulletin

where H is any subgraph of G with m edges. The minimum degree of a vertex in G is denoted by... and Katerinis, P., ‘The existence of k-factors in squares of graphs’, Discrete Math.310...

[1701.02186] Transcendency Degree One Function Fields Over a Finite Field with M

Let $\mathbb{K}$ be the algebraic closure of a finite field $\mathbb{F}_q$ of odd characteristic $p$. For a positive integer $m$ prime to $p$, let $F=\mathbb{K}(x,y)$ be the transcendency degree $1...

general topology - Show that for a degree 1 map $f: M \rightarrow N$ the induced

I'm trying to solve the following problem: Show that for a degree 1 map $f: M \rightarrow N$ of connected, closed, orientable manifolds, the induced map $f_*: \pi_1(M) \rightarrow \pi_1(N)$ is

[1811.00190v2] Degree counting theorems for singular Liouville systems

Let $(M,g)$ be a compact Riemann surface with no boundary and $u=(u_1,...,u_n)$ be a solution of the following singular Liouville system: \begin{equation*} Δ_g u_i+\sum_{j=1}^na_{ij}ρ_j(\frac{h_je^...

Degree of approximation in the space H ω p by the even-type delayed arithmetic m

The purpose of this paper is to give a degree of approximation of a function in the space H p ω {H^{\omega}_{p}} with norm ∥ ⋅ ∥ p ω {\lVert\,\cdot\,\rVert^{\omega}_{p}} by using even-type delayed...

field theory - Let $f(x)\in \Bbb{F}_p[x]$ be an irreducible polynomial of degree

Let $m,n$ be positive integers and $p$ be a prime. Consider the finite field $\Bbb{F}_{p^n}$ and let $f(x)\in \Bbb{F}_p[x]$ be an irreducible polynomial of degree $m$. Let the factorisation of $f(x...