SELECT SQL_CALC_FOUND_ROWS posting_id, rw1.node_name AS subject, rw2.node_name AS topic FROM posting, rewrite_sol_bm AS rw1, rewrite_sol_bm AS rw2 WHERE ota_id=104146 AND type=1 AND library_status=1 AND posting.subject_id=rw1.subject_id AND posting.topic_id=rw2.topic_id AND rw1.node_type=1 AND rw2.node_type=2 ORDER BY library_downloads DESC LIMIT 40, 20 Online TA Profiles - Homework Help from BrainMass
Online TA Profiles
Georgia Martin, PhD
OTA ID#: 104146

Education Experience: AB, Mathematics, Hood College, 1969
PhD, Physics, The Catholic University of America, 1977
PhD, Mathematics, The University of Maryland at College Park, 1993
Focus of Study: Area of specialization for PhD in mathematics: recursion theory; thesis title: Cantor Singletons, Rank-Faithful Trees, and Other Topics in Recursion Theory.

Area of specialization for PhD in physics: solid-state physics; thesis title: Calculation of Energy Levels of the Ground Configuration of Triply Ionized Rare Earths in a Crystalline Electric Field; Application to Triply Ionized Neodymium in the Bromate Crystal.
Awards: Received the following awards from the National Bureau of Standards, U.S. Department of Commerce:
1. Department of Commerce Bronze Medal Award, 1984.
2. Sustained Superior Performance Award, 1980.
3. Superior Accomplishment Award, 1977.

Graduated from Hood College magna cum laude with Departmental Honors in Mathematics.

Publications: GEORGIA A. MARTIN

LIST OF PUBLICATIONS

1. With M. W. Smith and W. L. Wiese:
Systematic Trends and Atomic
Oscillator Strengths. Nucl.
Instrum. Methods, 110:219-226,
1973.

2. With J. R. Fuhr and B. J. Specht:
Bibliography on Atomic Line
Shapes and Shifts (July 1973
through May 1975). Nat. Bur.
Stand. (U.S.), Spec. Publ. 366,
Suppl. 2. U.S. Government
Printing Office, Washington,
D.C., 1975.

3. With W. L. Wiese: Tables of
Critically Evaluated Oscillator
Strengths for the Lithium
Isoelectronic Sequence. J.
Phys. Chem. Ref. Data,
5:537-570, 1976.

4. With W. L. Wiese: Atomic
Oscillator Strength Distributions
in Spectral Series of the Lithium
Isoelectronic Sequence. Phys.
Rev. A, 13:699-714, 1976.

5. With J. R. Fuhr and B. J. Miller:
Bibliography on Atomic Transition
Probabilities (1914 through
October 1977). Nat. Bur. Stand.
(U.S.), Spec. Publ. 505. U.S.
Government Printing Office,
Washington, D.C., 1978.

6. With S. M. Younger, J. R. Fuhr,
and W. L. Wiese: Atomic
Transition Probabilities for
Vanadium, Chromium, and Manganese
(A Critical Data Compilation of
Allowed Lines). J. Phys. Chem.
Ref. Data, 7:495-630, 1978.

7. With J. R. Fuhr and B. J. Miller:
Bibliography on Atomic Line
Shapes and Shifts (June 1975
through June 1978). Nat. Bur.
Stand. (U.S.), Spec. Publ. 366,
Suppl. 3. U.S. Government
Printing Office, Washington,
D.C., 1978.

8. With B. J. Miller and J. R. Fuhr:
Bibliography on Atomic Transition
Probabilities (November 1977
through March 1980). Nat. Bur.
Stand. (U.S.), Spec. Pub. 505,
Suppl. 1. U.S. Government
Printing Office, Washington,
D.C., 1980.

9. With W. L. Wiese: Transition
Probabilities. Pt. 2 of
Wavelengths and Transition
Probabilities for Atoms and
Atomic Ions. Nat. Stand. Ref.
Data Ser., Nat. Bur. Stand.
(U.S.), No. 68, pages 359-406.
U.S. Government Printing Office,
Washington, D.C., 1980.

10. With J. R. Fuhr, W. L. Wiese,
and S. M. Younger: Atomic
Transition Probabilities for
Iron, Cobalt, and Nickel (A
Critical Data Compilation of
Allowed Lines). J. Phys. Chem.
Ref. Data, 10:305-565, 1981.

11. With W. L. Wiese: Atomic
Spectroscopy. Chap. 5 of A
Physicist's Desk Reference,
edited by Herbert L. Anderson,
pages 92-102. American
Institute of Physics, New York,
1989. Originally published as
chap. 5 of AIP 50th Anniversary
Physics Vade Mecum, edited by
Herbert L. Anderson, pages
96-106. American Institute of
Physics, New York, 1981.

12. With W. L. Wiese: Atomic
Transition Probabilities. In
several issues of CRC Handbook
of Chemistry and Physics. (See,
for example, 66th Edition,
edited by Robert C. Weast, pages
E325-E360. CRC Press, Inc., Boca
Raton, Florida, 1985.)

13. With J. R. Fuhr and W. L. Wiese:
Atomic Transition Probabilities:
Scandium through Manganese. J.
Phys. Chem. Ref. Data, Vol. 17,
Suppl. 3, 512 pages, 1988.

14. With J. R. Fuhr and W. L. Wiese:
Atomic Transition Probabilities:
Iron through Nickel. J. Phys.
Chem. Ref. Data, Vol. 17, Suppl.
4, 493 pages, 1988.

15. With W. Gasarch: Index Sets in
Recursive Combinatorics. In
Logical Methods, edited by J. N.
Crossley, J. B. Remmel, R. A.
Shore, and M. E. Sweedler, pages
352-385. Birkhauser, Boston,
1993.

16. With W. I. Gasarch: Bounded
Queries in Recursion Theory.
Progress in Computer Science and
Applied Logic, Vol. 16.
Birkhauser, Boston, 1999.

17. With R. Beigel, W. Gasarch, M.
Kummer, T. McNicholl, and F.
Stephan: The Complexity of
ODDAn. Journal of Symbolic
Logic, 65:1-18, 2000.

18. With J. Owings and W. Gasarch:
Max and Min Limiters. Archive
for Mathematical Logic,
41:483-495, 2002.
Work Experience: Georgia A. Martin
2000-Present
I am self-employed as a writer, editor, and proofreader (specializing in writing, editing, and proofreading of mathematical and scientific works), and a tutor of math and physics on all levels (elementary school through college and graduate school). [I did quite a bit of editing and proofreading for colleagues while I was in graduate school studying for my Ph.D. in math, and I was a tutor of math, physics, and other subjects from 1973-1999.]

Language, ETC
1993-Present
I teach English as a Second Language to working-class immigrants (adults).

National Bureau of Standards
1969-1986
I evaluated data on atomic transition probabilities and prepared compilations of recommended values. I also devised automated schemes for sorting literature references and publishing annotated bibliographies. One of my regular duties consisted of critically reviewing and editing scientific manuscripts authored by others, both in house and elsewhere.
Skills & Achievements: Enhanced scientific accuracy of numerous manuscripts in mathematics, computer science, physics, and engineering.

Co-authored book on recursion theory for use by professionals, graduate students, and advanced undergraduates in the fields of mathematics and computer science.

Co-authored research articles in mathematics and physics, complex scientific data compilations, and annotated bibliographies.

Improved clarity, precision, and style of numerous mathematical, scientific, and other written communications.

Assisted authors not of English-language origin in writing acceptable prose.

In the course of my self-employment, I have written step-by-step solutions to thousands of math problems, as well as some math lessons, and I have done quite a bit of online tutoring.

The mechanics of the English language (grammar, spelling, punctuation, syntax, and usage) are one of my strong suits.

My study of foreign languages (Spanish, German, French, and Italian) has greatly increased my sense of language in general.
Career Interests: My current plans are to continue as a self-employed writer, editor, proofreader, and tutor.

I set very high standards for myself, I edit for content as well as mechanics, and I do my utmost to provide top-notch service to my clients.
Outside Interests: I like reading, studying languages, helping people, engaging in conversation with intellectuals, thinking about mathematics, and going to museums.
Message to Students
and/or Parents:		 I provide step-by-step solutions, complete with explanations, to questions posed by students, and I try to engage students in understanding the material, not simply in copying solutions.

I recognize the importance of learning a topic thoroughly, so I take great patience with students, and I ensure that they understand one step before going on to the next, and I review prerequisite material whenever appropriate.

If one approach to helping a student doesn't seem to be working, I try approaching the question from a different angle.
Postings Answered: 76
Cumulative OTA Rating: 4.8/5  What is OTA Rating?
Top Solutions Downloads
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  1. Give an induction proof that the sum of the squares of the first N positive integers is N*(N + 1)*(2N+1)/6. - Prove by induction that the sum of the squares of the first N positive integers is N*(N + 1)*(2N+1)/6.
  2. Find the linearization of the given function at the indicated point. - Find the equation of the tangent line to the graph of the function f(x) = x + (4/x) at the point (4, 5).
  3. Determine whether the given mapping is an isomorphism between the given binary structures. If not, explain why and given a counter-example. - Determine whether the mapping phi: Z -> Z which is defined by phi(n) = n + 1 is an isomorphism from the binary structure (Z, +) to the binary structure (Z, +). If not, explain why and give a counter-e ...
  4. Prove the equivalence of the four given statements (about upper bounds of a non-empty set of real numbers). - Let S be a non-empty set of real numbers, and prove that the following statements are equivalent: (1) If v is any upper bound of S, then u <= v (read as "u is less than or equal to v"). (2) If z < ...
  5. The rate of revolution of a multicylinder gasoline engine, as well its intake energy and exhaust energy, are given. Compute the fuel consumption per hour and the torque exerted by the crankshaft on the load. - The rate of revolution of a multicylinder gasoline engine in an airplane, operating at 2500 rev/min, takes in energy 7.89*10^3 J and exhausts 4.58*10^3 J for each revolution of the crankshaft. How man ...
  6. Find a graph G on five vertices such that omega(G) < 3 and omega (G bar) < 3, where "G bar" is the complement of G. - Let G be a graph. Then G = (V, E), where V and E are the vertex set and edge set, respectively, of G. The clique number of G, omega(G), is the cardinality of the largest subset S of V such that eve ...
  7. A binary relation is defined on the set R of all real numbers. The problem is to prove that that binary relation is indeed an equivalence relation, and that there is a (well-defined) bijection between the set of equivalence classes and the set {x: x is a real number and 0 <= x < 1}. - Show that == (where == is the equivalence relation defined below) is an equivalence on A, and find a (well-defined) bijection %: A== -> B, where (a) A = R (the set of all real numbers) (b) B={x ...
  8. Find the values of alpha and omega for the two graphs given in the attached file (45.4.doc). - The stability number, alpha(G), of a graph G is the cardinality of the largest subset S of V(G), the vertex set of G, such that no two of the vertices in S are connected by an edge of G. The cliqu ...
  9. Proof about congruence modulo 43 (also expressible as equivalence modulo 43) - Let S = Z_43 (where the underscore, "_", indicates that what follows it, in this case 43, is a subscript). Let Q be a subset of S that contains ten non-zero numbers (i.e., that Q contains ten non-zero ...
  10. Find the orbit and stabilizer of the given matrix under multiplication by matrices of the specified type. - Find the orbit and stabilizer of the 2 X 2 matrix M under the action of multiplication of M by the matrices in GL_2(R), where the top row of M is (1 0) and the bottom row is (0 2). [That is, m_11 = 1, ...
  11. Solve the five given problems in calculus and trigonometry. One problem entails evaluating a specified integral, another entails evaluating the cotangent function of a specified angle in radians, and each of the other four problems entails finding the Maclaurin series for either the sine function or some composite of the sine function. - Do the following problems: (1) Find the value of twice the integral of the function u^(-1) + 3*[u^(-2)] over the interval [-3, -1]. (2) Show that cot(pi/3) = 1/[sqrt(3)], where "sqrt" stands for ...
  12. Devise a Turing machine with the indicated characteristics. - Devise a Turing machine with input given in unary notation (i.e., a string of n 1's denotes the integer n, and numbers are delimited by 0's) such that the machine produces the following output: 0 i ...
  13. Find the set of points of convergence of a given filter on an infinite set X with the cofinite topology. Prove that a space is compact if and only if every open cover has an irreducible subcover. - 1. Let X be an infinite set, let T be the cofinite topology on X, and let F be the filter generated by the filter base consisting of all the cofinite subsets of X. To which points of X does F converge ...
  14. Find the relative maxima, relative minima, and saddle points of the given function of two variables. - Find the relative maxima, relative minima, and saddle points of the function (x^2)*y - 6*(y^2) - 3*(x^2).
  15. Factor each of the given polynomials (and/or do what is otherwise indicated). - 1. Find the value of "c" such that the expression "(x^2) + 6x + c" is a perfect square. 2. Find the value of "a" such that the expression "(z^2) + 12z + a" is a perfect square. 3. Factor the exp ...
  16. Show that the two iterated Riemann integrals of the given function of two real variables are unequal to each other, and that the absolute value of the function is not Lebesgue integrable. - Let f be the following function with domain C = [0, 1] X [0, 1] (in two-dimensional Cartesian space): f(x, y) = 0 on the line segments x = 0, y = 0, and x = y f(x, y) = -1/(x^2) if 0 < y < x <= ...
  17. Find the row echelon form of the given matrix. - Find the row echelon form (not the reduced row echelon form) of the 4 X 3 matrix whose rows are as follows: row 1: 1/3 1/4 1/5 row 2: 2/3 2/4 2/5 row 3: 3/3 3/4 3/5 row 4 ...
  18. Subgroups and indexes - Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G, then the product "ab" is a ...
  19. Finite abelian groups all of whose elements (except the identity element) are of the same order - Give examples of finite abelian groups in which all elements (except the identity element) are of the same order.
  20. Use the given facts to determine whether or not a specified event occurred. - There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true: (1) Each of A, B, C was in the shop on the day of the robbery, and n ...
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