Search results

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: "For any letter we can substitute throughout the identity any expression containing a new letter...".
Abstract/Description: Writing rules for operations used in algebra problem and writing about their implications; Defining operators and notation for problem and writing about them; Possibly assigned work as the rules are numbered and the work is neat and well-written; Back of FSUDirac_12_3_1_0017.
Identifier: FSUDirac_12_3_1_0018
Format: Image (JPEG2000)

Title: "For any letter we can substitute throughout the identity any expression.".
Abstract/Description: Defining rules for certain expressions; Making notes about notation for these certain expressions; Giving examples using θ and ϕ.
Identifier: FSUDirac_12_3_5_0005
Format: Image (JPEG2000)

Title: "If an identity with n letters is to be true…".
Abstract/Description: Writing about mathematical identities and numbers in general; Back of FSUDirac_12_3_1_0018.
Identifier: FSUDirac_12_3_1_0017
Format: Image (JPEG2000)

Title: "mn + 1 = p is a prime…".
Abstract/Description: Apparent scratch work for number theoretical analysis; Possibly continuation of previous problem; Possibly multiple different problems worked on, including m, n, p problem, r, s, p problem, a, b, k problem, etc.
Identifier: FSUDirac_12_1c_0033
Format: Image (JPEG2000)

Title: "n is an odd prime, a, b, c are integers…".
Abstract/Description: Number theoretical analysis with apparent problem statement pertaining to n, a, b, and c; extensive algebra and calculation done with variables x, y, z.
Identifier: FSUDirac_12_1c_0032
Format: Image (JPEG2000)

Title: "s is a power of n".
Abstract/Description: Number theoretical analysis of primes, with apparent aim of solving a problem (number 1 in top right corner could be question number; problem is possibly to prove that s is a power of n, as is concluded in bottom right).
Identifier: FSUDirac_12_1c_0027
Format: Image (JPEG2000)

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: "To obtain a particular case by putting two letters the same.".
Abstract/Description: Continuation of investigating algebraic rules from FSUDirac_12_3_1_0018; adding new rules to change system and analyzing the changes.
Identifier: FSUDirac_12_3_5_0001
Format: Image (JPEG2000)

Title: Aboard America.
Abstract/Description: Dirac wearing a party hat and Manci (on the far left) shown at dinner during a crossing of the Atlantic on board the SS America
Identifier: FSU_Dirac_14_3_S1B14F63_001
Format: Image (JPEG2000)

Title: Abraham Pais, Paul Dirac and E. P. Wigner in receiving line.
Abstract/Description: Photograph taken in Tallahassee, Florida.
Identifier: FSUDirac_s01b14f88
Format: Image (JPEG2000)

Title: Academy of Sciences of Lisbon Award.
Creator: Academia das Ciencias de Lisboa
Abstract/Description: States that the title of "Correspondente" will be conferred upon Paul A. M. Dirac in recognition of his merits.
Date Issued: 1953-05-17
Identifier: 2709718, s3b4f2
Format: Image (JPEG2000)

Title: Academy of Sciences of Turin Award.
Creator: Accademia delle scienze di Torino
Abstract/Description: Certificate awarding Paul A. M. Dirac with an honorary professorship at the University of Turin, Italy.
Date Issued: 1951-11-15
Identifier: s3b4f3, 2709710
Format: Image (JPEG2000)

Title: Aeriel view of Tiananmen Square.
Abstract/Description: Photograph taken at Beijing, China. Handwritten note on back: Peiping, 14-7-15
Identifier: FSUDirac_s01b14f39_003
Format: Image (JPEG2000)

Title: Algebraic manipulations, along with intersecting oval figures (with marked points of intersection).
Abstract/Description: Attempt to rewrite expression involving h, k, n2, n3 in order to substitute into equation with t1, t2, a, b to solve; many drawings of ovals, probably unrelated.
Identifier: FSUDirac_12_1b_0008
Format: Image (JPEG2000)

Title: Algebraic manipulations, doodled on an old stock offer.
Abstract/Description: Algebraic manipulations for a random problem.
Identifier: FSUDirac_12_1b_0005
Format: Image (JPEG2000)

Title: Algebraic manipulations, doodled on top of an old exercise paper.
Abstract/Description: Simple algebraic manipulations, doodled on a sheet used for a different problem (possibly an old exercise paper).
Identifier: FSUDirac_12_1b_0003
Format: Image (JPEG2000)

Title: Alternative Method.
Creator: Dirac, P. A. M. (Paul Adrien Maurice)
Abstract/Description: Explanation and calculation of an alternative method for an equation.
Identifier: FSUDirac_s02b17f02a
Format: Document (PDF)

Title: American Academy of Arts and Sciences Award.
Creator: American Academy of Arts and Sciences
Abstract/Description: States that Dirac is a Foreign Honorary Member of the American Academy of Arts and Sciences, but has all of the rights and privileges of a member.
Date Issued: 1950-05-10
Identifier: s3b4f6, 2709708
Format: Image (JPEG2000)

Title: Analyses related to cubic and quintic polynomial equations.
Abstract/Description: Assigning values to expansions of quintic expressions in terms of a,b,c,d,e (similar to FSUDirac_12_1e_0001 and FSUDirac_12_1e_0006). Vieta’s formula. Writing quintic formula in terms of x,y,z,r, which are expressions in terms of a-d. Rewriting general cubic equation.
Identifier: FSUDirac_12_1e_0008
Format: Set of related objects

Title: Analysis associated with reduced quintic polynomial equation.
Abstract/Description: Equating one-term expressions in terms of a-d and of power five to constants e-h and attempt to construct equations of specific forms in terms in e-h. Work with reduced quintic polynomial equation equal to zero.
Identifier: FSUDirac_12_1e_0022
Format: Set of related objects

Title: Analysis of a particular quintic polynomial equation.
Abstract/Description: Quintic equation the same as on FSUDirac_12_1d_0027; attempt to find products of expressions α-δ that are possibly roots; assignment of constant to represent quotients of form ab/c in terms of a-d (linked to FSUDirac_12_1e_0023).
Identifier: FSUDirac_12_1e_0009
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: Analysis of factors using modular arithmetic.
Abstract/Description: Number theory analysis of factors using modular arithmetic; Possibly an assigned problem.
Identifier: FSUDirac_12_1c_0022
Format: Image (JPEG2000)

Title: Analysis of primes and factors using modular arithmetic.
Abstract/Description: Further number theoretical analysis of primes and factors of expressions using modular arithmetic.
Identifier: FSUDirac_12_1c_0024
Format: Image (JPEG2000)

Title: Analysis related to solving reduced cubic polynomial equation.
Abstract/Description: Writing sums of terms a through d raised to fractional powers; ω and i also used; solving reduced cubic equation.
Identifier: FSUDirac_12_3_1_0015
Format: Set of related objects

Title: Atomic Space.
Creator: Dirac, P. A. M. (Paul Adrien Maurice)
Abstract/Description: Calcuations for Atomic Space. Date range: April 17,1981-December 9, 1982.
Identifier: FSUDirac_s02b18f04
Format: Document (PDF)

Title: Attempts to logarithmic and exponential equations.
Abstract/Description: Attempts to solve exponential and logarithmic equations; Possible attempts to match polynomial equations to logarithmic and exponential equations for alternate solution method.
Identifier: FSUDirac_12_1a_0019
Format: Image (JPEG2000)

Title: Axioms for rings.
Abstract/Description: Listing axioms for rings with two operations, addition, denoted by α, and multiplication, denoted by β.
Identifier: FSUDirac_12_3_5_0003
Format: Image (JPEG2000)

Title: Basic Beliefs and Prejudices in Physics.
Creator: Dirac, P. A. M. (Paul Adrien Maurice)
Abstract/Description: Handwritten notes on the 1976 Lindau Nobel Laureate lecture in which Dirac explains the prejudices and biases that physicists must face. The lecture also covers theological issues, such as whether or not there is a God.
Date Issued: 1976-06-29
Identifier: s02b29f18, 2179024, fsu:200
Format: Document (PDF)

Title: Basic Beliefs and Theoretical Resend.
Creator: Dirac, P. A. M. (Paul Adrien Maurice)
Date Issued: 1973-01-22
Identifier: FSU_MSS_1989009_B49_F28_01
Format: Document (PDF)

Title: Charles and Betty Dirac with dog.
Identifier: FSUDirac_s01b14f27_001
Format: Image (JPEG2000)

Title: Chinese Physical Society Award.
Creator: Zhongguo wu li xue hui
Abstract/Description: Certificate awarded to Paul A. M. Dirac for being elected an honorary member of the Chinese Physical Society.
Date Issued: 1943-10-10
Identifier: s3b4f7, 2709717
Format: Image (JPEG2000)

Title: Circuitry/electricity physics problem.
Abstract/Description: Working on circuitry/electricity physics problem (trying to calculate change in power); Possibly assigned for school.
Identifier: FSUDirac_12_3_5_0006
Format: Image (JPEG2000)

Title: Combinations and permutations (of various number of elements).
Abstract/Description: Listing of combinations of elements A-F, with A-F in terms of a-d. 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 1-6 to permutations of four elements chosen from four (hard to read).
Identifier: FSUDirac_12_1e_0002
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: 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: Comparison of coefficients in different 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 connected to Galois groups?)
Identifier: FSUDirac_12_1d_0011_polyeq, fsu:186636
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: Composition of various degreed expressions.
Abstract/Description: Assigning values A-F to five-term expressions composed of elements a-e. Assigning values α-ε to reducible four-term expressions composed of elements a-e. 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: The Conditions for Statistical Equilibrium Between Atoms, Electrons and Radiation.
Creator: Dirac, P. A. M. (Paul Adrien Maurice)
Abstract/Description: Lecture given at St. John's College, Cambridge. Attached is a letter of request for an appearance by Dirac from the Royal Society in London.
Identifier: FSUDirac_s02b36f4
Format: Document (PDF)

Title: Construction of quintic expressions.
Abstract/Description: Construction of quintic expressions; Comparison of an expression raised to different degrees.
Identifier: FSUDirac_12_1a_0005
Format: Set of related objects

$Continued fractional term manipulations & permutations of x and y terms$

Title: Continued fractional term manipulations & permutations of x and y terms.
Abstract/Description: Continuation of FSUDirac_12_1a_0015 and FSUDirac_12_1a_0016 with composed fraction summation; Comparison between functions at certain points and summations; Matching of given x and y values and counting combinations between them.
Identifier: FSUDirac_12_1a_0017
Format: Image (JPEG2000)

Title: Crowd gathered in front of Paul A. M. Dirac statue for dedication ceremony.
Creator: Dirac, P. A. M. (Paul Adrien Maurice), Florida State University
Date Issued: 1989
Identifier: FSU_MSS1989-009_002
Format: Image (JPEG2000)

Title: Crowd gathered in front of Paul A. M. Dirac statue for dedication ceremony.
Creator: Dirac, P. A. M. (Paul Adrien Maurice), Florida State University
Date Issued: 1989
Identifier: FSU_MSS1989-009_001
Format: Image (JPEG2000)

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 A-E
Identifier: FSUDirac_12_1a_0021
Format: Set of related objects

Title: The Daily Sketch Award.
Creator: Daily Sketch Publications
Abstract/Description: Diploma of Merit awarded to Paul A.M. Dirac by well-known tabloid newspaper, the Daily Sketch, for winning the National Scholarship Competition.
Date Issued: 1914-02
Identifier: s3b4f8, 2709722
Format: Image (JPEG2000)

Title: Determining HCFs.
Abstract/Description: Number theoretical analysis; Possibly a continuation of a set of related problems, with potential goal of finding H.C.F.s (number 4 in top right corresponds to numbers in top right of FSUDirac_12_1c_0027, FSUDirac_12_1c_0028 and FSUDirac_12_1c_0034).
Identifier: FSUDirac_12_1c_0029
Format: Image (JPEG2000)

Title: Diagrams for exercises.
Abstract/Description: Diagrams, of unknown origin or relationship.
Identifier: FSUDirac_12_1e_0006
Format: Image (JPEG2000)

Title: Dirac equation.
Creator: Dirac, P. A. M. (Paul Adrien Maurice)
Abstract/Description: Relativistic quantum mechanical wave equation formulated by Paul A.M. Dirac in 1928, taken from the blackboard of his former office in the Keen Building on Florida State University's campus. Equation is shown in frame.
Identifier: FSDT2040794a
Format: Image (JPEG2000)

Paul A.M. Dirac Collection (244)	+ -
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