Current Search: Algebraic Structure (x)


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 wellwritten; 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

"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

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)