Conventions and Definitions for the Physics Derivation Graph

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Conventions

Jargon, Definitions, Dictionary

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Left-hand side # LHS of an expression.
LHS is comprised of non-relation symbols.
In an expression, LHS is separated from RHS by a relation.
LHS # See Left-hand side
Right-hand side # RHS of an expression.
RHS is comprised of non-relation symbols.
In an expression, RHS is separated from LHS by a relation.
RHS # See Right-hand side
Expression # An expression is comprised of a LHS, relation, RHS
Each expression appears only once in the Physics Derivation Graph.
list of expressions
Feed # A feed may appear more than once in the Physics Derivation Graph.
A feed does not have a relation (e.g., equality or inequality).
Inference Rule # Acts on one or more Expressions.
Inference rule is the defining feature of a Step.
Inference rules
Symbol # "Symbols" refers to relations, operations, scalars, vectors, matrices.
Operation # Appears in LHS and RHS of an expression. Requires one or more arguments. list of operations
Relation # separates the LHS and RHS of an Expression. list of relations
Derivation # A derivation is comprised of steps. list of derivations
Step # A step is comprised of an inference rule and one or more expressions.
value # constants have numeric values with units.
constant #
variable #
unit # Constants are either unitless or have units.
Each dimensionality has a set of units.
dimensionality # Variables and constants are either dimensionless or have dimensionality.
index of step # Steps in a Derivation are ordered.
index of input expression # Expressions referenced by a step are ordered.
index of feed expression # Expressions referenced by a step are ordered.
index of output expression # Expressions referenced by a step are ordered.