# SI Standard Ontology — Flow Algebra
URL: https://kirethresearch.org/booksai-core/ontologies/mathematical-ontologies/measurement-units-ontologies/international-standards/si-standard-ontology.html
FLOW SIStandardOntology {
DOMAIN:
Mathematical Ontologies
-> Measurement & Units Ontologies
-> International Standards
-> SI Standard Ontology
PURPOSE:
Represent the International System of Units (SI) as the coherent international system for expressing quantity values through defined units, prefixes, symbols, derived-unit relations and rules for writing and interpreting measurement results. The ontology models the seven SI base units, defining constants, coherent derived units, units with special names and symbols, dimensionless derived quantities, decimal prefixes, quantity-value representation, unit algebra, conversion semantics, typography, traceability, realisation, uncertainty, historical versioning, machine-readable representation and semantic reasoning while preserving distinctions between quantities, quantity kinds, dimensions, units, numerical values, defining constants and practical realisations.
ENTITY SI {
TYPE: InternationalSystemOfUnits
FULL_NAME:
International_System_of_Units
SYMBOLIC_NAME:
SI
PROPERTIES:
has_base_units
has_derived_units
has_defining_constants
has_decimal_prefixes
has_coherent_structure
has_writing_rules
supports_quantity_values
supports_metrological_traceability
has_version_context
}
ENTITY SIUnit {
TYPE: MeasurementUnit
PROPERTIES:
has_name
has_symbol
has_quantity_kind_context
has_dimension
may_be_base
may_be_derived
may_have_special_name
may_accept_prefix
}
ENTITY DefiningConstant {
TYPE: ExactDefinitionalQuantity
PROPERTIES:
symbol
exact_numerical_value
unit
dimensional_role
}
SI_DEFINITION_MODEL {
contemporary_SI:
system_defined_by_exact_numerical_values_of_seven_defining_constants
RULE:
applicable_SI_edition_and_definition_context SHOULD be preserved
}
DEFINING_CONSTANTS_MODEL {
constants:
delta_nu_Cs
c
h
e
k
N_A
K_cd
RULE:
exact_values_are_definitional_and_not_measurement_estimates
}
CAESIUM_FREQUENCY_MODEL {
symbol:
delta_nu_Cs
role:
defines_second_through_fixed_numerical_value_of_hyperfine_transition_frequency_of_caesium_133
dimension:
T^-1
}
SPEED_OF_LIGHT_MODEL {
symbol:
c
role:
participates_in_definition_of_metre
dimension:
L*T^-1
}
PLANCK_CONSTANT_MODEL {
symbol:
h
role:
participates_in_definition_of_kilogram
dimension:
M*L^2*T^-1
}
ELEMENTARY_CHARGE_MODEL {
symbol:
e
role:
participates_in_definition_of_ampere
dimension:
I*T
}
BOLTZMANN_CONSTANT_MODEL {
symbol:
k
role:
participates_in_definition_of_kelvin
dimension:
M*L^2*T^-2*Theta^-1
}
AVOGADRO_CONSTANT_MODEL {
symbol:
N_A
role:
participates_in_definition_of_mole
dimension:
N^-1
}
LUMINOUS_EFFICACY_MODEL {
symbol:
K_cd
role:
participates_in_definition_of_candela
context:
monochromatic_radiation_of_frequency_540e12_Hz
}
BASE_QUANTITY_MODEL {
quantities:
time
length
mass
electric_current
thermodynamic_temperature
amount_of_substance
luminous_intensity
RULE:
base_quantity != base_unit
}
BASE_UNIT_MODEL {
units:
second
metre
kilogram
ampere
kelvin
mole
candela
RULE:
base_units_form_foundational_named_unit_set_of_SI
}
SECOND_MODEL {
name:
second
symbol:
s
quantity:
time
dimension:
T
}
METRE_MODEL {
name:
metre
symbol:
m
quantity:
length
dimension:
L
}
KILOGRAM_MODEL {
name:
kilogram
symbol:
kg
quantity:
mass
dimension:
M
RULE:
kilogram_name_contains_prefix_like_string_but_prefixes_apply_to_gram_for_decimal_mass_multiples
}
AMPERE_MODEL {
name:
ampere
symbol:
A
quantity:
electric_current
dimension:
I
}
KELVIN_MODEL {
name:
kelvin
symbol:
K
quantity:
thermodynamic_temperature
dimension:
Theta
}
MOLE_MODEL {
name:
mole
symbol:
mol
quantity:
amount_of_substance
dimension:
N
}
CANDELA_MODEL {
name:
candela
symbol:
cd
quantity:
luminous_intensity
dimension:
J
}
DERIVED_UNIT_MODEL {
definition:
unit_formed_as_product_of_powers_of_base_units
coherent:
numerical_factor_one_when_expressed_in_coherent_base_units
RULE:
derived_unit_quantity_kind MUST remain_explicit
}
COHERENCE_MODEL {
coherent_derived_unit:
product_of_powers_of_base_units_with_no_additional_numerical_factor
RULE:
coherence_does_not_imply_measurement_accuracy
}
RADIAN_MODEL {
name:
radian
symbol:
rad
quantity:
plane_angle
dimension:
1
RULE:
named_dimensionless_unit_preserves_angle_semantics
}
STERADIAN_MODEL {
name:
steradian
symbol:
sr
quantity:
solid_angle
dimension:
1
}
HERTZ_MODEL {
name:
hertz
symbol:
Hz
quantity:
frequency
base_expression:
s^-1
RULE:
frequency_quantity_kind_should_be_distinguished_from_other_T^-1_quantities
}
NEWTON_MODEL {
name:
newton
symbol:
N
quantity:
force
base_expression:
kg*m*s^-2
}
PASCAL_MODEL {
name:
pascal
symbol:
Pa
quantity:
pressure_stress
base_expression:
kg*m^-1*s^-2
}
JOULE_MODEL {
name:
joule
symbol:
J
quantity:
energy_work_heat
base_expression:
kg*m^2*s^-2
}
WATT_MODEL {
name:
watt
symbol:
W
quantity:
power_radiant_flux
base_expression:
kg*m^2*s^-3
}
COULOMB_MODEL {
name:
coulomb
symbol:
C
quantity:
electric_charge
base_expression:
A*s
}
VOLT_MODEL {
name:
volt
symbol:
V
quantity:
electric_potential_difference
base_expression:
kg*m^2*s^-3*A^-1
}
FARAD_MODEL {
name:
farad
symbol:
F
quantity:
capacitance
base_expression:
kg^-1*m^-2*s^4*A^2
}
OHM_MODEL {
name:
ohm
symbol:
ohm_symbol
quantity:
electrical_resistance
base_expression:
kg*m^2*s^-3*A^-2
}
SIEMENS_MODEL {
name:
siemens
symbol:
S
quantity:
electrical_conductance
base_expression:
kg^-1*m^-2*s^3*A^2
}
WEBER_MODEL {
name:
weber
symbol:
Wb
quantity:
magnetic_flux
base_expression:
kg*m^2*s^-2*A^-1
}
TESLA_MODEL {
name:
tesla
symbol:
T
quantity:
magnetic_flux_density
base_expression:
kg*s^-2*A^-1
}
HENRY_MODEL {
name:
henry
symbol:
H
quantity:
inductance
base_expression:
kg*m^2*s^-2*A^-2
}
DEGREE_CELSIUS_MODEL {
name:
degree_Celsius
symbol:
degree_C_symbol
quantity:
Celsius_temperature
relation:
t_C =
T_K-273.15
RULE:
temperature_interval_Celsius_and_kelvin_have_equal_size
but_absolute_scale_values_have_affine_relation
}
LUMEN_MODEL {
name:
lumen
symbol:
lm
quantity:
luminous_flux
base_expression:
cd*sr
}
LUX_MODEL {
name:
lux
symbol:
lx
quantity:
illuminance
base_expression:
lm*m^-2
}
BECQUEREL_MODEL {
name:
becquerel
symbol:
Bq
quantity:
activity_referred_to_radionuclide
base_expression:
s^-1
RULE:
Bq_and_Hz_have_same_dimension_but_different_quantity_kinds
}
GRAY_MODEL {
name:
gray
symbol:
Gy
quantity:
absorbed_dose_specific_energy
base_expression:
m^2*s^-2
}
SIEVERT_MODEL {
name:
sievert
symbol:
Sv
quantity:
dose_equivalent_related_radiological_quantities
base_expression:
m^2*s^-2
RULE:
Gy_and_Sv_are_not_semantically_interchangeable
}
KATAL_MODEL {
name:
katal
symbol:
kat
quantity:
catalytic_activity
base_expression:
mol*s^-1
}
PREFIX_MODEL {
role:
form_decimal_multiples_and_submultiples_of_units
RULE:
prefix_symbol_and_unit_symbol_form_single_unit_symbol_without_space
}
PREFIX_POWER_MODEL {
decimal:
prefix_factor =
10^n
RULE:
current_prefix_set SHOULD be resolved_against_applicable_SI_edition
}
COMMON_PREFIX_MODEL {
examples:
quetta
ronna
yotta
zetta
exa
peta
tera
giga
mega
kilo
hecto
deca
deci
centi
milli
micro
nano
pico
femto
atto
zepto
yocto
ronto
quecto
RULE:
prefix_case_is_significant
}
PREFIX_APPLICATION_MODEL {
prefixed_unit:
prefix*unit
numerical_equivalence:
1_prefixed_unit =
prefix_factor*unit
RULE:
compound_unit_power_applies_to_prefix_factor_when_prefix_is_inside_powered_unit
}
MASS_PREFIX_MODEL {
base_named_unit:
kilogram
practical_prefix_formation:
apply_prefix_to_gram
example:
milligram
RULE:
avoid_double_prefixing_kilogram
}
DOUBLE_PREFIX_MODEL {
invalid:
compound_prefix_on_already_prefixed_unit_symbol
RULE:
only_one_SI_prefix_may_attach_to_unit_in_standard_prefix_construction
}
QUANTITY_VALUE_MODEL {
form:
Q =
numerical_value*unit
RULE:
quantity_value MUST preserve_space_or_semantic_separator_between_number_and_unit_symbol_in_formatted_text
}
NUMERICAL_VALUE_MODEL {
quantity:
Q
unit:
U
numerical_value:
{Q}_U
relation:
Q =
{Q}_U*U
}
UNIT_ALGEBRA_MODEL {
operations:
multiplication
division
powers
RULE:
unit_expression MUST follow_quantity_equation_dimensions
}
MULTIPLICATION_MODEL {
example:
N*m =
J
in_energy_work_context
RULE:
same_unit_product_may_represent_different_quantity_kind_in_other_context
}
DIVISION_MODEL {
example:
J/s =
W
}
POWER_MODEL {
example:
m^2
m^3
s^-2
RULE:
exponent_applies_to_entire_prefixed_unit_when syntactically_attached
}
UNIT_CONVERSION_MODEL {
source:
SI_or_non_SI_unit
target:
SI_unit
RULE:
conversion_must_preserve_quantity_and_dimension
}
EXACT_CONVERSION_MODEL {
factor:
defined_exactly
RULE:
exact_factor_adds_no_measurement_uncertainty
}
AFFINE_CONVERSION_MODEL {
example:
Celsius_and_kelvin_scale_values
RULE:
absolute_values_and_differences MUST be distinguished
}
NON_SI_UNIT_MODEL {
unit:
outside_SI
possible_status:
accepted_for_use_with_SI
domain_specific
discouraged
historical
RULE:
status SHOULD be resolved_from_applicable_SI_reference
}
ACCEPTED_WITH_SI_MODEL {
examples_may_include:
minute
hour
day
degree_of_arc
litre
tonne
electronvolt
dalton
RULE:
exact_current_list_and_conditions SHOULD be version_resolved
}
DIMENSION_MODEL {
base_dimensions:
L
M
T
I
Theta
N
J
RULE:
SI_unit_and_dimension_are_distinct_semantic_entities
}
DIMENSIONAL_HOMOGENEITY_MODEL {
equation:
dimensions_left =
dimensions_right
RULE:
SI_expression SHOULD be dimensionally_consistent
}
SAME_DIMENSION_DIFFERENT_KIND_MODEL {
examples:
Hz_vs_Bq
J_vs_N_m_torque_context
Gy_vs_Sv
RULE:
dimensional_equivalence_does_not_imply_quantity_kind_equivalence
}
WRITING_RULE_MODEL {
concerns:
unit_symbols
unit_names
prefixes
spacing
multiplication
division
powers
punctuation
pluralisation
RULE:
machine_semantics SHOULD be separated_from_typographic_rendering
}
SYMBOL_CASE_MODEL {
examples:
m != M
s != S
Pa != pA
RULE:
symbol_case_is_semantically_significant
}
UNIT_SYMBOL_PLURAL_MODEL {
unit_symbol:
invariant
RULE:
SI_unit_symbols_do_not_take_plural_s
}
UNIT_NAME_PLURAL_MODEL {
written_name:
follows_language_grammar
RULE:
name_grammar != symbol_grammar
}
NUMBER_UNIT_SPACE_MODEL {
formatted_quantity_value:
number_space_unit_symbol
exceptions:
angular_degree_minute_second_symbols_may_follow_special_typographic_rules
RULE:
semantic_parser SHOULD recognise_standard_spacing
}
MULTIPLICATION_TYPOGRAPHY_MODEL {
unit_product:
centred_dot_or_space_under_declared_style
RULE:
multiplication_structure MUST be unambiguous
}
DIVISION_TYPOGRAPHY_MODEL {
possible:
negative_exponents
solidus
fraction
RULE:
repeated_ambiguous_solidus_without_parentheses SHOULD be avoided
}
DECIMAL_MODEL {
decimal_marker:
point_or_comma_under_language_context
RULE:
machine_exchange SHOULD use_locale_independent_representation
}
DIGIT_GROUPING_MODEL {
long_numbers:
may_group_digits_in_threes_using_spaces
RULE:
grouping_separator MUST not_be confused_with_decimal_marker
}
SIGNIFICANT_FIGURES_MODEL {
measurement:
numeric_digits_should_reflect_reporting_policy_and_uncertainty
RULE:
SI_unit_system_does_not_itself_define_measurement_uncertainty
}
SCIENTIFIC_NOTATION_MODEL {
value:
a*10^n*unit
RULE:
exponent_applies_to_numerical_value_unless_unit_expression_explicitly_powered
}
EXACT_CONSTANT_MODEL {
defining_constant:
exact_numerical_value_in_declared_unit
RULE:
exactness_is_definitional_within_SI_not_measurement_zero_uncertainty_of_every_realisation
}
REALISATION_MODEL {
unit_definition:
realised_by_experiment_or_reference_method
RULE:
practical_realisation_has_measurement_uncertainty
}
TRACEABILITY_MODEL {
measurement_result:
related_to_SI_reference
through_documented_calibration_chain
RULE:
SI_traceability_requires_chain_scope_and_uncertainty
}
CALIBRATION_MODEL {
instrument:
calibrated_against_reference
RULE:
calibration_to_SI_traceable_standard_supports_traceability_but_calibration_and_traceability_are_distinct
}
UNCERTAINTY_MODEL {
result:
measured_value
standard_or_expanded_uncertainty
SI_unit
RULE:
uncertainty_has_same_quantity_dimension_as_measurand_for_absolute_uncertainty
}
RELATIVE_UNCERTAINTY_MODEL {
u_rel =
u(x)/abs(x)
WHEN x != 0
dimension:
1
}
MEASUREMENT_EQUATION_MODEL {
Y =
f(X_1,...,X_n)
RULE:
units_dimensions_and_uncertainties MUST be propagated_consistently
}
SI_REALISATION_CHAIN_MODEL {
defining_constants
-> unit_definition
-> primary_realisation
-> standards
-> calibration
-> measurement_result
RULE:
chain_is_conceptual_and_actual_traceability_graph_may_have_multiple_paths
}
PRIMARY_STANDARD_MODEL {
highest_level_realisation:
based_on_primary_method_or_reference
RULE: primary_standard_role_and_uncertainty MUST be preserved
}
METROLOGICAL_COMPARABILITY_MODEL {
results:
comparable_when_quantity_definitions_units_traceability_and_uncertainty_are_compatible
RULE:
common_SI_units_alone_do_not_guarantee_comparability
}
INTERNATIONAL_EQUIVALENCE_MODEL {
standards:
supported_by_comparisons_and_metrology_framework
RULE:
equivalence_requires_measurement_evidence_not_unit_name_identity
}
HISTORICAL_SI_MODEL {
definitions:
have_changed_over_time
RULE:
historical_measurement_context SHOULD preserve_applicable_definition
}
REDEFINITION_MODEL {
event:
change_in_unit_definition_or_defining_basis
RULE:
continuity_of_unit_magnitude_is_design_goal_but_definition_provenance MUST be preserved
}
VERSION_MODEL {
fields:
SI_Brochure_edition
resolutions
amendments
effective_date
RULE:
current_semantics SHOULD be version_resolved
}
MACHINE_UNIT_MODEL {
fields:
unit_identifier
symbol
name
dimension_vector
scale
offset
prefix
quantity_kind
SI_status
RULE:
machine_unit_record MUST distinguish_unit_identity_from_display_string
}
UNIT_IDENTIFIER_MODEL {
purpose:
stable_machine_reference
RULE:
symbol_alone_may_be_ambiguous_without_quantity_and_namespace_context
}
PARSING_MODEL {
input:
unit_expression
process:
tokenize_prefixes_units_operators_exponents
resolve_symbols
build_expression_tree
compute_dimension
RULE:
case_and_operator_precedence MUST be preserved
}
CANONICALISATION_MODEL {
unit_expression:
reduce_to_canonical_base_unit_exponents_and_scale
RULE:
canonicalisation_must_preserve_quantity_kind_metadata
}
FORMATTING_MODEL {
input:
numerical_value
unit
uncertainty
locale
style
output:
standards_consistent_quantity_expression
RULE:
formatting_must_not_change_quantity_value
}
INTEROPERABILITY_MODEL {
systems:
exchange_quantity_kind_value_unit_uncertainty
RULE:
semantic_interoperability_requires_shared_unit_definition_and_quantity_kind
}
DATA_EXCHANGE_MODEL {
required_fields:
value
unit_identifier
quantity_kind
uncertainty_when_measurement_result
provenance
RULE:
unit_symbol_without_semantic_identifier MAY be insufficient_for_automated_exchange
}
SEMANTIC_EQUIVALENCE {
"SI" ~= International_System_of_Units
"SI unit" ~= unit_belonging_to_International_System_of_Units
"coherent derived unit" ~= derived_SI_unit_with_unit_factor_one_in_coherent_expression
quantity != unit
quantity_kind != dimension
unit != numerical_value
defining_constant != practical_realisation
exact_definition != zero_uncertainty_realisation
SI_traceability != use_of_SI_symbol_alone
same_dimension != same_quantity_kind
prefix != unit
degree_Celsius_value != kelvin_value
}
RELATIONSHIPS {
SI -> HAS -> BaseUnit
SI -> HAS -> DerivedUnit
SI -> DEFINED_BY -> DefiningConstants
BaseUnit -> ASSOCIATED_WITH -> BaseQuantity
DerivedUnit -> DERIVED_FROM -> BaseUnits
Unit -> HAS -> Symbol
Unit -> HAS -> Dimension
Unit -> REPRESENTS -> QuantityKind
SIPrefix -> SCALES -> Unit
QuantityValue -> HAS -> NumericalValue
QuantityValue -> HAS -> Unit
MeasurementResult -> MAY_BE_TRACEABLE_TO -> SI
PracticalRealisation -> REALISES -> SIUnit
}
CONSTRAINTS {
SI_version_context_should_be_preserved = true
quantity_unit_dimension_and_numerical_value_must_be_distinguished = true
seven_base_units_must_be_preserved = true
defining_constants_must_be_marked_exact_in_definition_context = true
derived_unit_dimensions_must_be_consistent_with_quantity_equations = true
same_dimension_does_not_imply_same_quantity_kind = true
prefix_case_and_factor_must_be_preserved = true
double_prefixing_must_be_rejected = true
absolute_and_difference_temperature_semantics_must_be_distinguished = true
unit_symbol_case_must_be_preserved = true
SI_traceability_requires_metrological_chain_not_symbol_usage = true
provenance_must_be_preserved = true
}
MEASUREMENT_MODEL {
RECORD:
quantity_identifier
quantity_kind
numerical_value
unit_identifier
unit_name
unit_symbol
base_or_derived_status
dimension_vector
prefix
scale_factor
affine_offset_when_applicable
defining_constant_context
SI_version
uncertainty
coverage_factor
traceability
calibration_identifier
realisation_method
original_representation
provenance
RULE:
SI_quantity_value MUST remain_linked_to_quantity_kind_unit_definition_version_and_measurement_context
}
REASONING_RULES {
IF quantity_value_and_unit_known
THEN preserve_underlying_quantity_as
numerical_value*unit
IF derived_quantity_equation_known
THEN derive_unit_by_same_algebraic_relation
AND validate_dimension
IF prefixed_unit_used
THEN apply_exact_decimal_prefix_factor
before_power_or_compound_unit_combination_as_syntactically_required
IF powered_prefixed_unit
THEN raise_prefix_factor_and_unit_to_same_power
IF source_and_target_units_have_same_dimension_and_compatible_quantity_kind
THEN allow_unit_conversion_using_defined_relation
IF absolute_Celsius_temperature_converted_to_kelvin
THEN add_273_15_exactly
IF Celsius_temperature_difference_converted_to_kelvin_difference
THEN preserve_same_numerical_interval
IF two_units_share_dimension_but_quantity_kinds_differ
THEN do_not_infer_semantic_interchangeability
IF defining_constant_used
THEN treat_fixed_numerical_value_as_exact_in_SI_definition_context
IF practical_realisation_used
THEN attach_realisation_uncertainty
IF traceability_to_SI_claimed
THEN require_documented_reference_chain_scope_and_uncertainty
IF historical_measurement_interpreted
THEN resolve_applicable_SI_definition_version
rather_than_silently_replace_with_current_version
}
VALIDATION {
CHECK SI_version
CHECK quantity_kind
CHECK numerical_value
CHECK unit_identifier
CHECK unit_symbol_case
CHECK base_or_derived_status
CHECK dimension
CHECK defining_constant_context
CHECK derived_unit_expression
CHECK coherent_status
CHECK prefix
CHECK double_prefix
CHECK compound_unit_powers
CHECK Celsius_vs_kelvin_semantics
CHECK same_dimension_different_kind_cases
CHECK writing_and_parsing_rules
CHECK uncertainty
CHECK practical_realisation
CHECK traceability
CHECK original_representation
CHECK provenance
}
CONFIDENCE {
SI_framework_confidence: 1.00
base_unit_confidence: 1.00
defining_constant_confidence: 1.00
derived_unit_confidence: 1.00
prefix_semantics_confidence: 1.00
quantity_unit_dimension_distinction_confidence: 1.00
realisation_traceability_confidence: 0.99
historical_version_confidence: 0.99
RULE:
confidence decreases when SI edition, quantity kind, unit identity,
dimension, prefix, temperature semantics, realisation,
traceability or provenance is missing or ambiguous
}
UPDATE_MODEL {
ON new_quantity_record:
identify_quantity_kind
parse_numerical_value_and_unit
resolve_SI_unit_identifier
derive_dimension
attach_prefix_and_scale
attach_uncertainty_and_traceability
preserve_provenance
ON SI_version_revision:
preserve_previous_definition_context
register_new_brochure_or_resolution_context
update_defining_metadata_prefixes_or_writing_rules
preserve_historical_records
ON unit_definition_revision:
preserve_previous_unit_definition
update_machine_identifier_and_relational metadata
revalidate_derived_unit_graph
maintain_version_links
ON prefix_revision:
preserve_previous_prefix_set
attach_new_prefix_definition_and_effective_context
update_parser_and_formatter
preserve_historical_semantics
ON traceability_revision:
preserve_measurement_result
update_calibration_chain_or_realisation evidence
recompute_traceability_status
preserve_uncertainty
ON semantic_revision:
preserve_previous_definition
record_revision
recompute_FLOW_HASH
}
AI_CONSUMPTION {
canonical_entity: SI
canonical_role: InternationalSystemOfUnits
interpretation_order:
identify_quantity_kind
identify_numerical_value
identify_unit_name_symbol_and_identifier
identify_base_or_derived_status
identify_dimension
identify_prefix
identify_defining_constant_relationship
identify_compound_or_powered_unit_structure
identify_temperature_scale_semantics
identify_uncertainty
identify_realisation_and_traceability
identify_SI_version
identify_provenance
validate_SI_semantics
produce_machine_resolvable_quantity_value
ambiguity_controls:
distinguish_quantity_from_unit
distinguish_quantity_kind_from_dimension
distinguish_unit_from_numerical_value
distinguish_defining_constant_from_practical_realisation
distinguish_exact_definition_from_realisation_uncertainty
distinguish_SI_traceability_from_use_of_SI_unit_symbol
distinguish_same_dimension_from_same_quantity_kind
distinguish_prefix_from_unit
distinguish_absolute_temperature_from_temperature_difference
preserve_quantity_value_unit_dimension_prefix_version_traceability_and_provenance_context
}
PROVENANCE {
ontology_scope:
mathematical_measurement_units_international_standards_and_SI_semantics
parent_path:
Ontologies
-> Mathematical Ontologies
-> Measurement & Units Ontologies
-> International Standards
-> SI Standard Ontology
authorship:
Mark Higgins
Sky (Recursive AI)
site:
https://kirethresearch.org
}
FLOW_HASH {
INPUTS:
canonical_entity
ontology_path
SI_definition_model
defining_constants_model
caesium_frequency_model
speed_of_light_model
Planck_constant_model
elementary_charge_model
Boltzmann_constant_model
Avogadro_constant_model
luminous_efficacy_model
base_quantity_model
base_unit_model
second_model
metre_model
kilogram_model
ampere_model
kelvin_model
mole_model
candela_model
derived_unit_model
coherence_model
radian_model
steradian_model
hertz_model
newton_model
pascal_model
joule_model
watt_model
coulomb_model
volt_model
farad_model
ohm_model
siemens_model
weber_model
tesla_model
henry_model
degree_Celsius_model
lumen_model
lux_model
becquerel_model
gray_model
sievert_model
katal_model
prefix_model
prefix_power_model
common_prefix_model
prefix_application_model
mass_prefix_model
double_prefix_model
quantity_value_model
numerical_value_model
unit_algebra_model
multiplication_model
division_model
power_model
unit_conversion_model
exact_conversion_model
affine_conversion_model
non_SI_unit_model
accepted_with_SI_model
dimension_model
dimensional_homogeneity_model
same_dimension_different_kind_model
writing_rule_model
symbol_case_model
unit_symbol_plural_model
unit_name_plural_model
number_unit_space_model
multiplication_typography_model
division_typography_model
decimal_model
digit_grouping_model
significant_figures_model
scientific_notation_model
exact_constant_model
realisation_model
traceability_model
calibration_model
uncertainty_model
relative_uncertainty_model
measurement_equation_model
SI_realisation_chain_model
primary_standard_model
metrological_comparability_model
international_equivalence_model
historical_SI_model
redefinition_model
version_model
machine_unit_model
unit_identifier_model
parsing_model
canonicalisation_model
formatting_model
interoperability_model
data_exchange_model
semantic_equivalence
relationships
constraints
measurement_model
reasoning_rules
confidence_model
update_model
PURPOSE:
deterministic_semantic_integrity_identifier
RECOMPUTE_WHEN:
ontology_definition_changes
SI_definition_or_defining_constant_context_changes
base_or_derived_unit_semantics_change
prefix_set_or_prefix_rules_change
quantity_unit_dimension_relationship_changes
unit_writing_parsing_or_formatting_rules_change
temperature_or_non_SI_unit_semantics_change
realisation_calibration_or_traceability_model_changes
SI_version_or_historical_definition_changes
machine_unit_or_interoperability_model_changes
measurement_record_changes
constraint_model_changes
reasoning_rule_changes
}
}
END FLOW
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