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 20, 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: 77
Cumulative OTA Rating: 4.8/5  What is OTA Rating?
Top Solutions Downloads
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  1. Determine whether the set of cylinders of the given pair of measure spaces is contained in (is a subset of) the set of rectangles of that pair of measure spaces. - Let (Omega_1, F_1, P_1) and (Omega_2, F_2, P_2) be the following measure spaces: Omega_1 = {a, b}, F_1 is the sigma algebra of all subsets of Omega_1, and P_1 is a measure on Omega_1. Omega_2 = ...
  2. Prove that the given polynomial with integer coefficients is irreducible in Q[x] (the ring of all polynomials with rational coefficients), and show that every complex number is algebraic over R (the ring of all real numbers). - 1. Prove that the polynomial x^4 - 16*(x^2) + 4 is irreducible in Q[x] (the ring of all polynomials with rational coefficients). 2. Show that every element of C (i.e., every complex number) is alge ...
  3. Determine the total distance traversed by a particle of dust on the surface of a rotating disk. - A spinning disk (i.e., a rotating disk) has a radius of 6 cm (6 centimeters) and a constant rate of rotation of 7200 rpm (7200 revolutions per minute). Find the total distance traversed in 5 seconds b ...
  4. Prove the equivalence of the standard definition of equivalence relation on a group and the given alternative definition (of equivalence relation on a group). - Show that the following are equivalent: (a) ~ is an equivalence relation on a group G (b) ~ is reflexive and, for all elements a, b, c of G: if a ~ b and b ~ c, then c ~ a.
  5. Distribution of 15 vehicle models - There are 15 different vehicle models available at a certain dealership. Oddly, each family living on Maple Street bought one of these vehicles. There are just enough families on Maple Street so you c ...
  6. Using the given probabilities of certain individual events, find the probability of each of the specified combinations of those events. - Using the given probabilities of individual events, find the probabilities that the specified combinations of those events will occur: 1. If the school cafeteria serves meat loaf, there is a 70% ch ...
  7. Show that the given function f is in Big-Theta of the given function g, as well as in Big-O of the given function h and in Big-Omega of the given function k. Also, explain why f is an unimpressive time-cost function for a sorting algorithm. - Let f, g, h, and k be the following functions: f(x) = 3*(x^2) + 4*ln(x) + 9 g(x) = x^2 h(x) = x^5 k(x) = 1 [the constant function "1"] Throughout the statement and solution to this prob ...
  8. isolated point,closer - I need solution to 3.2.2.
  9. Determinant and Eigenvalues of Real Matrix with Upper Triangular Block Structure - Please see the attached file for the complete problem statement. Let A be a real matrix having the upper triangular block structure A_11 A_12 A_13 ... A_1n 0 A_22 A_23 ... ...
  10. Number of Perfect Matchings - Please see the attached file.
  11. Quarterly to Monthly Interpolation : Matrices and Linear Combinations with Lagrange Multipliers - Please see equation (2.7) of the article (attached for reference). I am particularly interested in understanding the process and in knowing what equation (2.7) would look like in the case of quarterly ...
  12. Matrix Formulation in Minimizing Squared First Differences : Application to Interpolation of Data - In the attached article, the author proposes a way to interpolate quarterly values when only annual values are available. The only page of this article which is useful for this problem is page 66 (or ...
  13. Bipartite Graphs : Matching - Consider the sets A0 := {0, 1, 4}, B0 := {0, 2, 8}. Consider the sets Ai := A0 + i := {i, i + 1, i + 4} ,and Bi := B0 + i := {i, i + 2, i + 8}, for i = 1, 2, . . . , 12. All addition here is perform ...
  14. Suppose G is a connected bipartite graph. Show that G admits a unique bipartition (U, V) of its vertex set. - Suppose G is a connected bipartite graph. Show that G admits a unique bi-partition (U, V ) of its vertex set. (Hint: Work toward a contradiction.)
  15. Sketch the given region of the xy-plane, set up the integral in each of the two possible orders, and evaluate both integrals. - Sketch the region defined by x >= 0; x^2 + y^2 <= 2 and x^2 + y^2 >= 1. Write down the integral of the function f(x, y) = x^2 over the region in each of the two possible orders, and evaluate both i ...
  16. Find the gas mileage of a car, given the total amount of internal energy released when one gallon of gasoline is burned in the car's engine, the amount of that energy which flows directly into the surroundings in the form of heat, and the amount of work required to make the car go one mile. - When one gallon of gasoline is burned in a car engine, 1.19 x 10^8 J of internal energy is released. Suppose that 1.00 x 10^8 J of this energy flows directly into the surroundings (engine block and e ...
  17. Jacobian of a 3-component mapping with two independent variables - I have the map f(u,v) = (2u/(1 + u^2 + v^2), 2v/(1 + u^2 + v^2), (1 - u^2 - v^2)/(1 + u^2 + v^2)), and I need help showing that the Jacobian J of this map satisfies the condition that the ijth entry o ...
  18. Subsets of given finite sets - (a) List all subsets of the set {a, b, c, d}. (b) Determine the number of subsets of the set A = {a, b, c, d, e, f}, without writing them down. (c) Determine the number of subsets of the set B = ...
  19. Determine whether the diagram given in part 1 is a graph. Find the chromatic number of the graph given in part 2, and the number of colors needed to color the regions of the graph in part 3 (to ensure that adjacent regions have different colors). - The three questions are stated in an attached .doc file (1.doc). In part 1, a diagram is given, and whether the object depicted in the diagram is a graph is to be determined. In part 2, a graph ...
  20. Draw a diagram of a Saccheri quadrilateral with certain properties, perform certain constructions on that diagram, and show that two specified quadrilaterals in the resulting diagram are Lambert quadrilaterals. - Draw a diagram of a Saccheri quadrilateral ABDC, where (a) A and B are a pair of consecutive vertices (b) sides AD and BC are a pair of opposite sides (c) angles A and B are right angles ( ...
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