Master's degree

A Master of Science degree conferred from Columbia University, an Ivy League university in New York City A master's degree [note 1] (from Latin magister) is a postgraduate academic degree...

The Generating Degree of ℂ p

The generating degree gdeg(A) of a topological commutative ring A with char A = 0 is the... Z[M] is dense in A. For a prime number p, C p denotes the topological completion of an algebraic...

number theory - Field Extension of Local Fields of Degree $d$ containing $d$th r

Let $L_w/K_v$ a finite degree $d=[L_w:K_v]$ Galois extension of $p$-adic fields (ie $L_w,K_v$ are finite extensions of $\Bbb Q_p$). Assume moreover that $d $ is coprime to $p^{\kappa}-1$, where $p^{\

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...

abstract algebra - Counting total number of monic irreducible polynomials of all

Why is the following relation counting monic irreducible polynomials of all degrees $d$ that divide $m$ true? \begin{equation} \sum_{d\ |\ m}\left(\frac{1}{d} \sum_{c\ |\ d} \mu(d/c)\ p^{c}\right)...

complex analysis - Degree of $P$ as a smooth function equals its polynomial degr

Let $M,N$ be connected oriented manifolds such that $\partial M=\partial N=\emptyset$. Let $F:M\to N $ be a smooth proper map (i.e. for every $K\subset N$ compact, $F^{-1}(K)$ is compact). We defin...

Degree Requirements Ph.D. | Materials Science & Engineering | Illinois

Requirements, Entering with approved M.S. degree, Entering with approved B.S. degree* ; Credit Hours, Hours, Hours ; Total Credit for the Degree, 64, 96 ; Thesis Research - MSE 599, 44, 52 ; Course Work, 20, 44 ; One of CHEM 544, MSE 500, PHS 504 with a grade of B or higher, 4, 4 ; MSE 492 (credit does not apply toward the degree), 0, 0 ; MSE 595, 0-2, 0-4 ; Advisor group meetings (MSE 590) and area seminars (MSE 529, MSE 559) (subject to Other Requirements and Conditions below), 0-4, 0-8 ; MSE course work hours, 10, 20 ; 500-level credit hours applied toward the degree (excluding 599), 10, 24

Professional degree

Columbia University was the first American university to grant the M.D. degree in 1770, although, as in England, this followed the M.B. (which was the qualifying degree) and required...

group theory - Is the complement of a degree 2 divisor in $\mathbb{P}^1_K$ an al

Let $K$ be a field, and let $D\subset\mathbb{P}^1_K$ be an effective divisor of degree 2, defined over $K$. The complement $C := \mathbb{P}^1_K - D$ is thus a smooth curve over $K$, which over the

Distribution of degree in random graph - Mathematics Stack Exchange

Let $\mathcal G(n, m)$ be a graph on $n$ vertices and $m$ edges chosen uniformly from the set of all possible such graphs. I would like to determine the distribution of the degree $d_i$ of some nod...