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Pages


Title

Testing Page Object.

Identifier

FSU_dirac_testing_page1

Format

Set of related objects


Title

Leveraging LC's Linked Data API.

Creator

Miguez, Matthew Roland

Abstract/Description

Presented at ALA Annual 2017. Panel abstract: In this program speakers will discuss how they are using APIs to improve and automate cataloging, acquisition, metadata enhancement, and holdings maintenance workflows in technical services. APIs being discussed will be both open source and vendorspecific. A general overview of API will be provided.

Identifier

FSU_libsubv1_scholarship_submission_1498756273_c156678f_compound

Format

Set of related objects


Title

Exercise Book.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Group characteristics.

Identifier

FSUDirac_11_5_1

Format

Set of related objects


Title

"All given identities are normal": Observations and Identities.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Succession of 6 pages investigating algebraic systems while preserving generality, with an emphasis on identities.

Identifier

FSUDirac_12_3_8

Format

Set of related objects


Title

"The deduction could be written": Continuation of a problem.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Succession of 10 pages with work related to a problem involving a particular algebraic structure (with elements, operations, identities, etc. Final page is an unrelated physics calculation.

Identifier

FSUDirac_12_3_6

Format

Set of related objects


Title

Solution of general cubic and quartic equations.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Solutions of two types of cubic equations (reduced and general); Solutions of two types of quartic equations (reduced and general).

Identifier

FSUDirac_12_1d_0004_parent

Format

Set of related objects


Title

Investigating permutations of five terms.

Abstract/Description

Listing of permutations of five elements chosen out of five; Sketches of graphs connecting five elements represented by nodes.

Identifier

FSUDirac_12_1a_0013

Format

Set of related objects


Title

Investigating permutations.

Abstract/Description

Expansions of summations of cubic and quintic expressions; Counting permutations of three elements from possible five.

Identifier

FSUDirac_12_1a_0001

Format

Set of related objects


Title

Table of coefficients for terms of degree 5.

Abstract/Description

Analysis of coefficients (?) of given terms in different expressions; Summations of coefficients; Counting numbers of terms attached to each coefficient.

Identifier

FSUDirac_12_1a_0006

Format

Set of related objects


Title

Listing of permutations: Five elements chosen from five  I.

Abstract/Description

Listing of permutations of five elements chosen from five (see FSUDirac_12_1a_0013 and FSUDirac_12_1a_0014); Crossing out certain permutations; Sketches of shapes with numbered vertices; Expressions with summation of thirddegree expressions in five variables.

Identifier

FSUDirac_12_1a_0018

Format

Set of related objects


Title

Sums of fifthdegree terms.

Abstract/Description

Creating combinations of multiterm expressions made up of products and sum of six elements AF, which are made up of strict patterns and summation, multiplication and exponentiation (third degree) of five elements ae; Graph sketch connecting two sets of five elements each; Listing of permutations of five elements chosen out of five (like FSUDirac_12_1a_0013).

Identifier

FSUDirac_12_1a_0014

Format

Set of related objects


Title

Listing of permutations: Five elements chosen from five  II.

Abstract/Description

Listing permutations of five elements chosen from five (like FSUDirac_12_1a_0013, FSUDirac_12_1a_0014 and FSUDirac_12_1a_0018); listing permutations of six elements chosen from six with corresponding graphs with nodes matching elements (page hard to read)

Identifier

FSUDirac_12_1d_0014

Format

Set of related objects


Title

Possible identification of roots of a given quartic equation.

Abstract/Description

Possible evaluation of roots of certain quartic (?) polynomials (appears to be continued on FSUDirac_12_1d_0023); counting possible permutations of first four integers.

Identifier

FSUDirac_12_1d_0021

Format

Set of related objects


Title

Comparing coefficients of terms of expansions.

Abstract/Description

Comparison of coefficients of terms in expansions of different summations/products of summations (like FSUDirac_12_1a_0011; FSUDirac_12_1d_0005); writing summations of products as quintic polynomials after substitution; comparison of coefficients of summated expressions up to degree 5 and assignment of values to each equation (e.g. 1, 5, 5. Possibly tied to Galois groups?)

Identifier

FSUDirac_12_1d_0011

Format

Set of related objects


Title

Equations composed of terms of degree 4.

Abstract/Description

Comparison of coefficients of summated expressions up to degree 4 and assignment of values to each equation (e.g. 1, 4, 2, 4. Like FSUDirac_12_1d_0029).

Identifier

FSUDirac_12_1d_0010

Format

Set of related objects


Title

Multiplication of expressions involving cube roots.

Abstract/Description

Multiplication/Expansion of products of expressions involving cube roots (possible roots for cubic polynomials?)

Identifier

FSUDirac_12_1a_0012

Format

Set of related objects


Title

Expressions and equations of various degree, including third and fourthdegree equations.

Abstract/Description

Expressions involving square roots of algebraic expressions (possibly roots of equations); Listing different multiterm expressions using A1,A2,…,B1,B2,…,C1,C2,… Possibly solutions to certain cubics; Expansions of summations of quartic and quadratic expressions; Multiplication of summations; Work with cubic functions with specific coefficients.

Identifier

FSUDirac_12_1a_0007

Format

Set of related objects


Title

Quintic equation investigation.

Abstract/Description

Analysis of coefficients in quintic polynomials with no x^4 term; Combinations of equations of three variables and involving imaginary numbers.

Identifier

FSUDirac_12_1a_0010

Format

Set of related objects


Title

Nonstandard solution for a quadratic equation.

Abstract/Description

Solutions to quadratic polynomials and equations

Identifier

FSUDirac_12_1a_0008

Format

Set of related objects


Title

Substitutions to simplify polynomial equations.

Abstract/Description

Using substitutions to simplify polynomial equations; Connection to FSUDirac_12_1a_0003 – formula for general solution to cubic with no x^2 term used and expanded with different values; Comparison of coefficients of different expansions of products of summations.

Identifier

FSUDirac_12_1a_0011

Format

Set of related objects


Title

Comparison of terms in expansion (fourth degree).

Abstract/Description

Comparison of terms in expansion of different combinations of products (usually to fourth degree); Expansions of squares of summations.

Identifier

FSUDirac_12_1a_0009

Format

Set of related objects


Title

Summation expressions in four variables.

Abstract/Description

Assignment of variables to different summation expressions in four variables ad

Identifier

FSUDirac_12_1a_0020

Format

Set of related objects


Title

Investigating solutions of cubic and quartic equations.

Abstract/Description

Analysis of quartic polynomial with all coefficients of 1 and attempted substitutions to find solution; similar analysis of cubic polynomial with all coefficients of 1.

Identifier

FSUDirac_12_1d_0006

Format

Set of related objects


Title

Tenthdegree expressions.

Abstract/Description

Various tenthdegree expressions in five variables.

Identifier

FSUDirac_12_1a_0022

Format

Set of related objects


Title

Comparison of coefficients for different summation expansions.

Abstract/Description

Comparison of coefficients of different summation expansions in three variables.

Identifier

FSUDirac_12_1d_0005

Format

Set of related objects


Title

Terms, coefficients, and equations.

Abstract/Description

Analysis of powers and sums of terms constructed in a, b, c, d, and e; Formation of equations.

Identifier

FSUDirac_12_1d_0001

Format

Set of related objects


Title

Expressions and equations of varying degree.

Abstract/Description

Labeling expressions in a, b, c, w with αδ; Listing permutations of four elements 14 with repetition; Assigning values (5 and 5) to summation expressions with different coefficients.

Identifier

FSUDirac_12_1b_0002

Format

Set of related objects


Title

Cubic equation investigation (also includes listing of permutations of five elements).

Abstract/Description

Analysis of cubic equation by substitutions using coefficients; Listing of permutations of five elements chosen from five; Drawing diagrams to represent combinations of five elements AE

Identifier

FSUDirac_12_1a_0021

Format

Set of related objects


Title

Of interest: general solution of reduced cubic equation.

Abstract/Description

Equating quintic polynomials of certain coefficients to summations of expressions; general solution for cubic without x^2 term (see FSUDirac_12_1a_0003 and FSUDirac_12_1a_0011); simplification of trigonometric functions with integral multiples of arguments (e.g. cos3θ, etc.).

Identifier

FSUDirac_12_1d_0002

Format

Set of related objects


Title

Composition of various degreed expressions.

Abstract/Description

Assigning values AF to fiveterm expressions composed of elements ae. Assigning values αε to reducible fourterm expressions composed of elements ae. Expansions of different powers (up to quintic) of expression x in terms of a and b.

Identifier

FSUDirac_12_1e_0001

Format

Set of related objects


Title

Expansions related to quintic polynomial equation.

Abstract/Description

Assigning values to quintic expansions in terms of a, b, c, d (similar to FSUDirac_12_1e_0001); forming equations out of results of above expansions.

Identifier

FSUDirac_12_1e_0005

Format

Set of related objects


Title

Analysis of cubic, quartic, and quintic expansions.

Abstract/Description

Continuation of combinations of general a, b, c, d with different powers of w (from FSUDirac_12_1d_0023); charts assigning values to different cubic, quartic, and quintic expansions equal to zero; writing general solution of cubic polynomial.

Identifier

FSUDirac_12_1d_0027

Format

Set of related objects


Title

Combinations and permutations (of various number of elements).

Abstract/Description

Listing of combinations of elements AF, with AF in terms of ad. Listing of permutations of five elements chosen from five (similar to FSUDirac_12_1d_0012). Summations of fractions of different denominators in terms of m,n that equal 1. Attempt to sketch graph with at least 6 nodes. Apparent assignment of values 16 to permutations of four elements chosen from four (hard to read).

Identifier

FSUDirac_12_1e_0002

Format

Set of related objects


Title

Expansions related to quartic polynomial equation.

Abstract/Description

Expansions of expressions in terms of x, y which are expressions in terms of a, b and comparison of coefficients; listing permutations of elements 14.

Identifier

FSUDirac_12_1e_0007

Format

Set of related objects


Title

Third, fourth, and sixthdegree polynomial equations.

Abstract/Description

Constructing polynomial equation to the sixth power in terms of coefficients that are summations of terms containing a, b, c, d; Reduced cubic and quartic polynomial equations.

Identifier

FSUDirac_12_1d_0025

Format

Set of related objects


Title

Solution of particular cubic polynomial equations.

Abstract/Description

Solving particular cubic equations; expanding cube roots of binomial arithmetic expressions; possible attempt to find general expansion of cube root of expression in terms of ac and k; assigning values to lists of powers of a, b, c; algebra with f and f bar (page damaged).

Identifier

FSUDirac_12_1e_0003

Format

Set of related objects


Title

Expansions of products of quartic polynomial expressions.

Abstract/Description

Expansions of products of given quartic expressions involving a, b, c and assignment of values to different expansions.

Identifier

FSUDirac_12_1d_0024

Format

Set of related objects


Title

Permutations: three chosen from four, with powers of 2.

Abstract/Description

Listing permutations of three elements chosen from four, two of which are squared (elements ad); expansions of summations of quintic expressions in terms of ad.

Identifier

FSUDirac_12_1e_0012

Format

Set of related objects


Title

Solution of third and fourthdegree equations.

Abstract/Description

Looking for general solution of cubic polynomial with no x2 term; Looking for general solution of quartic polynomial with given conditions.

Identifier

FSUDirac_12_1a_0003

Format

Set of related objects


Title

Permutations and coefficients of five elements.

Abstract/Description

Writing permutations of five elements 15 with repetition; listing oneterm expressions with coefficients summing to certain numbers; expanding different powers of an expression α.

Identifier

FSUDirac_12_1d_0028

Format

Set of related objects


Title

Permutations of four elements.

Abstract/Description

Writing permutations of four elements 14 with repetition.

Identifier

FSUDirac_12_1d_0026

Format

Set of related objects


Title

Investigating solutions of polynomial equations.

Abstract/Description

Possible attempt to equate α to a root of a polynomial (square root involved)

Identifier

FSUDirac_12_1a_0004

Format

Set of related objects


Title

FSUDirac_12_1a_0002.

Abstract/Description

Expansions of expressions involving a,b,c,d,e, and various powers of w all to the fifth power (hard to read); Listing permutations of combinations of two elements chosen from five of form a^2 b; Work with logarithmic equations/integration (possibly physics related).

Identifier

FSUDirac_12_1a_0002

Format

Set of related objects


Title

Permutations: four chosen from four; five chosen from five.

Abstract/Description

Listing of permutations of four elements chosen from four (similar to FSUDirac_12_1d_0012). Listing of permutation of five elements chosen from five (a,b,c,d,e, but numbers 15 used as well).

Identifier

FSUDirac_12_1e_0020

Format

Set of related objects


Title

Solution of particular quartic polynomial equations, using substitution.

Abstract/Description

Attempt to find general solution to certain quartic polynomials using several subsequent substitutions (similar problems and form of expressions to FSUDirac_12_1d_0006).

Identifier

FSUDirac_12_1d_0019

Format

Set of related objects


Title

Solving a reduced quintic polynomial equation with substitution.

Abstract/Description

Attempt to find general solution to quintic polynomial with no x^4 term under certain conditions on coefficients.

Identifier

FSUDirac_12_1d_0008

Format

Set of related objects


Title

General quintic polynomial equation and fifth roots of unity.

Abstract/Description

Evaluation of different algebraic expressions involving imaginary fifth roots of unity raised to the fifth (perhaps in attempt to solve certain class of quintic polynomial equations).

Identifier

FSUDirac_12_1d_0016

Format

Set of related objects


Title

Factoring cubic polynomials.

Abstract/Description

Sketches of triangle with angle bisectors (?); factoring particular cubic polynomials (page smudged, difficult to read).

Identifier

FSUDirac_12_1d_0015

Format

Set of related objects


Title

List of roots of unity for a given quartic polynomial equation.

Abstract/Description

Listing of roots of possible quartic equation (as continued from FSUDirac_12_1d_0021); writing combinations of general a, b, c, d with different powers of general w (continued on FSUDirac_12_1d_0027); raising above combinations to the fifth power and setting them equal to terms A1 through D1 for substitution.

Identifier

FSUDirac_12_1d_0023

Format

Set of related objects


Title

Manipulation of third, fourth, and fifthdegree polynomial equations.

Abstract/Description

Combinations of quartic polynomials; expansion of general fiveterm expression raised to the fifth power; possible attempt to find solutions of cubic equation (hard to read).

Identifier

FSUDirac_12_1d_0022

Format

Set of related objects
Pages