Current Search:  Paul A.M. Dirac Papers, 1788-1999 (x)

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"All given identities are normal": Observations and Identities
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
"For any letter we can substitute throughout the identity any expression containing a new letter..."
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)
"For any letter we can substitute throughout the identity any expression."
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)
"If an identity with n letters is to be true…"
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)
"mn + 1 = p is a prime…"
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)
"n is an odd prime, a, b, c are integers…"
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)
"s is a power of n"
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)
"The deduction could be written": Continuation of a problem
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
"To obtain a particular case by putting two letters the same."
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)
Aboard America
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)
Abraham Pais, Paul Dirac and E. P. Wigner in receiving line
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)
Academy of Sciences of Lisbon Award
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)
Academy of Sciences of Turin Award
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)
Aeriel view of Tiananmen Square
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)
Algebraic manipulations, along with intersecting oval figures (with marked points of intersection)
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)
Algebraic manipulations, doodled on an old stock offer
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)
Algebraic manipulations, doodled on top of an old exercise paper
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)
All Ready for the Nobelists
Title
All Ready for the Nobelists.
Creator
Dagens Nyheter
Identifier
FSU_MSS_1989009_S01_B16_F02_008
Format
Image (JPEG2000)
Alternative Method
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)
American Academy of Arts and Sciences Award
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)
Analyses related to cubic and quintic polynomial equations
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
Analysis associated with reduced quintic polynomial equation
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
Analysis of a particular quintic polynomial equation
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
Analysis of cubic, quartic, and quintic expansions
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
Analysis of factors using modular arithmetic
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)
Analysis of primes and factors using modular arithmetic
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)
Analysis related to solving reduced cubic polynomial equation
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
Atomic Space
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)
Attempts to logarithmic and exponential equations
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)
Axioms for rings
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)
Basic Beliefs and Prejudices in Physics
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)
Basic Beliefs and Theoretical Research
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)
Booklet listing all nobel prize winners from the years 1901 to 1979
Title
Booklet listing all nobel prize winners from the years 1901 to 1979.
Creator
Almqvist & Wiksell
Identifier
FSU_MSS_1989009_S01_B35_F09_003
Format
Document (PDF)
Charles and Betty Dirac with dog
Title
Charles and Betty Dirac with dog.
Identifier
FSUDirac_s01b14f27_001
Format
Image (JPEG2000)
Chinese Physical Society Award
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)
Circuitry/electricity physics problem
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)
Color photograph of blackboard section on which Dirac Equation is written
Title
Color photograph of blackboard section on which Dirac Equation is written.
Creator
Dirac, P. A. M. (Paul Adrien Maurice)
Date Issued
2000
Identifier
FSU_MSS_1989009_S01_B11_F08_IF70
Format
Image (JPEG2000)
Combinations and permutations (of various number of elements)
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
Comparing coefficients of terms of expansions
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
Comparison of coefficients for different summation expansions
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
Comparison of coefficients in different expansions
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
Comparison of terms in expansion (fourth degree)
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
Composition of various degreed expressions
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
Conditions for Statistical Equilibrium Between Atoms, Electrons and Radiation
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)
Congratulatory letter from Paul Dirac's aunt Lu on his obtaining of the Nobel Prize
Title
Congratulatory letter from Paul Dirac's aunt Lu on his obtaining of the Nobel Prize.
Creator
, Lu
Identifier
FSU_MSS_1989009_S01_B94_F11_007
Format
Document (PDF)
Congratulatory letter from Professor Dr. Max Planck to Paul Dirac on receiving the Nobel Prize
Title
Congratulatory letter from Professor Dr. Max Planck to Paul Dirac on receiving the Nobel Prize.
Creator
Planck, Max
Identifier
FSU_MSS_1989009_S01_B94_F11_010
Format
Document (PDF)
Congratulatory letter written by Professor C. Manneback of the University of Louvain to Paul Dirac after he received his Nobel Prize
Title
Congratulatory letter written by Professor C. Manneback of the University of Louvain to Paul Dirac after he received his Nobel Prize.
Creator
Manneback, C.
Identifier
FSU_MSS_1989009_S01_B94_F11_006
Format
Image (JPEG2000)
Congratulatory telegram from Niels Bohr to Paul Dirac on receiving the Nobel Prize in Physics
Title
Congratulatory telegram from Niels Bohr to Paul Dirac on receiving the Nobel Prize in Physics.
Creator
Bohr, Niels
Date Issued
1933
Identifier
FSU_MSS_1989009_S01_B94_F11_002
Format
Image (JPEG2000)
Construction of quintic expressions
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)

Pages