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Expert Profile

# Georgia Martin 104146
Jan 2004
• Responses: 212
• Library Solutions: 117

## Education

• AB, Hood College, 1969
• PhD, The Catholic University of America, 1977
• PhD, The University of Maryland at College Park, 1993

## Subjects

• Mathematics
• Physics

A native of Pennsylvania and now a long-time resident of one of the Maryland suburbs of Washington, D.C., Georgia Martin has PhDs in math and physics and is co-author of a book in mathematical logic: Bounded Queries in Recursion Theory. Having worked as a scientist for an agency of the U.S. government for 18 years, she has been self-employed as a document editor since 2000, specializing in math, science, and other technical areas, and has done extensive writing, checking, and editing of solutions to textbook problems. She has also done quite a bit of tutoring in math, and for over 20 years has taught advanced courses in English as a Second Language (ESL) to adults. Georgia has been a BrainMass Expert since 2004, where she always strives to write in a style that will be understandable to students.

## Solution Library

### Relations: reflexive, antisymmetric, transitive

For the set A = {a, b, c}, let R be the relation on A which is defined by the following 3 by 3 matrix M_R:

----------------------------------------

Row 1: 1 0 1

Row 2: 1 1 0

Row 3: 0 1 1

-----------------------------------------

Which of the properties (reflexive, antisymmetric, t READ MORE »

Mathematics / Discrete Math » 127237

### Find a self-complementary graph with five vertices.

Let G be a graph. Then G = (V, E), where V and E are the vertex set and edge set, respectively, of G.

The complement of G, which we will refer to as "G bar," is the graph (V, E bar), where V is the vertex set of G bar (i.e., the vertex set of G bar is identical to the vertex set of G) and E bar i READ MORE »

Mathematics / Linear Transformation » 28052

### A binary relation R is defined in terms of a given matrix. Determine whether R is a partial order. If it is, draw its Hasse diagram.

For the set A = {a, b, c}, let R be the relation on A which is defined by the following 3 by 3 matrix M_R:

----------------------------------------

Row 1: 1 0 1

Row 2: 1 1 0

Row 3: 0 1 1

-----------------------------------------

Determine whether R is a partial order. If it is, dra READ MORE »

Mathematics / Algebra / Combinatorics » 128514

### Evaluate the given line integral and the given surface integral.

Do the following:

(1) Evaluate Int(P(x, y) dx + Q(x, y) dy) over the curve C, where P(x, y) = y^2, Q(x, y) = 3x, and C is the portion of the graph of the function y = 3x^2 from (-1, 3) to (2, 12). Here, "Int" stands for integral.

(2) Use the Divergence Theorem to evaluate the surface integral READ MORE »

Mathematics / Calculus and Analysis / Real Analysis / Integrals » 111430

### Using the given Turing-machine model, create a program for a Turing machine that computes the function f(n) = 2n + 3.

Consider the following Turing-machine model (which is used in one of the standard textbooks in recursion theory, a branch of mathematical logic: Recursively Enumerable Sets and Degrees, by Robert I. Soare, Springer-Verlag, New York, 1987):

The Turing machine is equipped with the following: