Overview Schemas Index

MATHEMATICAL_FUNCTIONS_SCHEMA         

          identification: -

REFERENCE FROM EXTERNAL_REFERENCE_SCHEMA (
          externally_defined_item
);
REFERENCE FROM GEOMETRY_SCHEMA (
          curve,
          dimension_of,
          point,
          surface,
          volume
);
REFERENCE FROM ISO13584_EXPRESSIONS_SCHEMA (
          abs_expression,
          acos_expression,
          and_expression,
          asin_expression,
          atan_expression,
          binary_boolean_expression,
          binary_numeric_call_expression,
          binary_numeric_expression,
          boolean_defined_expression,
          boolean_expression,
          boolean_literal,
          boolean_variable,
          comparison_equal,
          comparison_expression,
          comparison_greater,
          comparison_greater_equal,
          comparison_less,
          comparison_less_equal,
          comparison_not_equal,
          concat_expression,
          cos_expression,
          defined_expression,
          div_expression,
          equals_expression,
          exp_expression,
          expression,
          format_expression,
          index_expression,
          int_literal,
          int_numeric_variable,
          int_value_expression,
          integer_defined_expression,
          interval_expression,
          length_expression,
          like_expression,
          literal_number,
          log10_expression,
          log2_expression,
          log_expression,
          maximum_expression,
          minimum_expression,
          minus_expression,
          unary_minus_expression,
          mod_expression,
          mult_expression,
          multiple_arity_boolean_expression,
          multiple_arity_numeric_call_expression,
          multiple_arity_numeric_expression,
          not_expression,
          numeric_defined_expression,
          numeric_expression,
          numeric_variable,
          odd_expression,
          or_expression,
          plus_expression,
          power_expression,
          real_defined_expression,
          real_literal,
          real_numeric_variable,
          simple_boolean_expression,
          simple_numeric_expression,
          simple_string_expression,
          sin_expression,
          slash_expression,
          sql_mappable_defined_expression,
          square_root_expression,
          string_defined_expression,
          string_expression,
          string_literal,
          string_variable,
          substring_expression,
          tan_expression,
          unary_boolean_expression,
          unary_numeric_call_expression,
          unary_numeric_expression,
          value_expression,
          variable,
          xor_expression
);
REFERENCE FROM ISO13584_GENERIC_EXPRESSIONS_SCHEMA (
          binary_generic_expression,
          environment,
          generic_expression,
          generic_literal,
          generic_variable,
          multiple_arity_generic_expression,
          simple_generic_expression,
          unary_generic_expression,
          variable_semantics
);
REFERENCE FROM SUPPORT_RESOURCE_SCHEMA (
          label,
          text
);

External_reference_schema          
          ei external_source,
          er externally_defined_item,
          di message,
          di source_item
Geometry_schema          
          er curve,
          di dimension_count,
          fr dimension_of,
          ei geometric_representation_item,
          er point,
          er surface,
          er volume
Iso13584_expressions_schema          
          er abs_expression,
          er acos_expression,
          er and_expression,
          er asin_expression,
          er atan_expression,
          er binary_boolean_expression,
          er binary_numeric_call_expression,
          er binary_numeric_expression,
          er boolean_defined_expression,
          er boolean_expression,
          er boolean_literal,
          er boolean_variable,
          er comparison_equal,
          er comparison_expression,
          er comparison_greater,
          er comparison_greater_equal,
          er comparison_less,
          er comparison_less_equal,
          er comparison_not_equal,
          er concat_expression,
          er cos_expression,
          er defined_expression,
          er div_expression,
          er equals_expression,
          er exp_expression,
          er expression,
          er format_expression,
          er index_expression,
          er int_literal,
          er int_numeric_variable,
          er int_value_expression,
          er integer_defined_expression,
          er interval_expression,
          er length_expression,
          er like_expression,
          er literal_number,
          er log10_expression,
          er log2_expression,
          er log_expression,
          er maximum_expression,
          er minimum_expression,
          er minus_expression,
          er unary_minus_expression,
          er mod_expression,
          er mult_expression,
          er multiple_arity_boolean_expression,
          er multiple_arity_numeric_call_expression,
          er multiple_arity_numeric_expression,
          er not_expression,
          er numeric_defined_expression,
          er numeric_expression,
          er numeric_variable,
          er odd_expression,
          er or_expression,
          er plus_expression,
          er power_expression,
          er real_defined_expression,
          er real_literal,
          er real_numeric_variable,
          er simple_boolean_expression,
          er simple_numeric_expression,
          er simple_string_expression,
          er sin_expression,
          er slash_expression,
          er sql_mappable_defined_expression,
          er square_root_expression,
          er string_defined_expression,
          er string_expression,
          er string_literal,
          er string_variable,
          er substring_expression,
          er tan_expression,
          er unary_boolean_expression,
          er unary_numeric_call_expression,
          er unary_numeric_expression,
          er value_expression,
          er variable,
          er xor_expression
Iso13584_generic_expressions_schema          
          er binary_generic_expression,
          er environment,
          er generic_expression,
          er generic_literal,
          er generic_variable,
          er multiple_arity_generic_expression,
          er simple_generic_expression,
          er unary_generic_expression,
          er variable_semantics
Representation_schema          
          ei representation_item
Support_resource_schema          
          di identifier,
          dr label,
          dr text

Constants

          Schema_prefix
          The_binarys
          The_booleans
          The_complex_numbers
          The_complex_tuples
          The_empty_atom_based_tuple
          The_empty_atom_based_value
          The_empty_maths_tuple
          The_empty_maths_value
          The_empty_space
          The_generics
          The_integer_tuples
          The_integers
          The_logicals
          The_maths_spaces
          The_neg1_one_interval
          The_neghalfpi_halfpi_interval
          The_negpi_pi_interval
          The_nonnegative_reals
          The_numbers
          The_real_tuples
          The_reals
          The_strings
          The_tuples
          The_zero_one_interval
          The_zero_pi_interval
          The_zero_tuple_space

Defined types

          Atom_based_tuple
          Atom_based_value
          Dotted_express_identifier
          Elementary_function_enumerators
          Elementary_space_enumerators
          Express_identifier
          Extension_options
          Input_selector
          Lower_upper
          Maths_atom
          Maths_binary
          Maths_boolean
          Maths_enum_atom
          Maths_expression
          Maths_function_select
          Maths_integer
          Maths_logical
          Maths_number
          Maths_real
          Maths_simple_atom
          Maths_space_or_function
          Maths_string
          Maths_tuple
          Maths_value
          Nonnegative_integer
          One_or_two
          Open_closed
          Ordering_type
          Positive_integer
          Product_space
          Real_interval
          Repackage_options
          Space_constraint_type
          Symmetry_type
          Tuple_space
          Zero_or_one

Entities

          Abstracted_expression_function
          Application_defined_function
          Atom_based_literal
          B_spline_basis
          B_spline_function
          Banded_matrix
          Basic_sparse_matrix
          Binary_literal
          Bound_variable_semantics
          Cartesian_complex_number_region
          Complex_number_literal
          Constant_function
          Definite_integral_expression
          Definite_integral_function
          Dependent_variable_definition
          Elementary_function
          Elementary_space
          Explicit_table_function
          Expression_denoted_function
          Extended_tuple_space
          Externally_listed_data
          Finite_function
          Finite_integer_interval
          Finite_real_interval
          Finite_space
          Free_variable_semantics
          Function_application
          Function_space
          General_linear_function
          Homogeneous_linear_function
          Imported_curve_function
          Imported_point_function
          Imported_surface_function
          Imported_volume_function
          Integer_interval_from_min
          Integer_interval_to_max
          Integer_tuple_literal
          Linearized_table_function
          Listed_complex_number_data
          Listed_data
          Listed_integer_data
          Listed_logical_data
          Listed_product_space
          Listed_real_data
          Listed_string_data
          Logical_literal
          Mathematical_description
          Maths_boolean_variable
          Maths_enum_literal
          Maths_function
          Maths_integer_variable
          Maths_real_variable
          Maths_space
          Maths_string_variable
          Maths_tuple_literal
          Maths_variable
          Parallel_composed_function
          Partial_derivative_expression
          Partial_derivative_function
          Polar_complex_number_region
          Quantifier_expression
          Rationalize_function
          Real_interval_from_min
          Real_interval_to_max
          Real_tuple_literal
          Regular_table_function
          Reindexed_array_function
          Repackaging_function
          Restriction_function
          Selector_function
          Series_composed_function
          Standard_table_function
          Strict_triangular_matrix
          Symmetric_banded_matrix
          Symmetric_matrix
          Triangular_matrix
          Uniform_product_space

Functions

          All_members_of_es
          Any_space_satisfies
          Assoc_product_space
          Atan2
          Bool
          Check_sparse_index_domain
          Check_sparse_index_to_loc
          Check_sparse_loc_range
          Compare_basis_and_coef
          Compare_list_and_value
          Compare_values
          Compatible_complex_number_regions
          Compatible_es_values
          Compatible_intervals
          Compatible_spaces
          Composable_sequence
          Convert_to_literal
          Convert_to_maths_function
          Convert_to_maths_value
          Convert_to_operand
          Convert_to_operands
          Convert_to_operands_prcmfn
          Definite_integral_check
          Definite_integral_expr_check
          Derive_definite_integral_domain
          Derive_elementary_function_domain
          Derive_elementary_function_range
          Derive_finite_function_domain
          Derive_finite_function_range
          Derive_function_domain
          Derive_function_range
          Domain_from
          Dot_count
          Dotted_identifiers_syntax
          Drop_numeric_constraints
          Enclose_cregion_in_pregion
          Enclose_pregion_in_cregion
          Enclose_pregion_in_pregion
          Equal_cregion_pregion
          Equal_maths_functions
          Equal_maths_spaces
          Equal_maths_values
          Es_subspace_of_es
          Expression_is_constant
          Extract_factors
          Extremal_position_check
          Factor1
          Factor_space
          Free_variables_of
          Function_applicability
          Function_is_1d_array
          Function_is_1d_table
          Function_is_2d_table
          Function_is_array
          Function_is_table
          Has_values_space
          List_selected_components
          Make_abstracted_expression_function
          Make_atom_based_literal
          Make_b_spline_basis
          Make_b_spline_function
          Make_banded_matrix
          Make_basic_sparse_matrix
          Make_binary_literal
          Make_boolean_literal
          Make_cartesian_complex_number_region
          Make_complex_number_literal
          Make_constant_function
          Make_cos_expression
          Make_definite_integral_expression
          Make_definite_integral_function
          Make_elementary_function
          Make_elementary_space
          Make_environment
          Make_expression_denoted_function
          Make_extended_tuple_space
          Make_finite_function
          Make_finite_integer_interval
          Make_finite_real_interval
          Make_finite_space
          Make_function_application
          Make_function_space
          Make_general_linear_function
          Make_int_literal
          Make_integer_interval_from_min
          Make_listed_complex_number_data
          Make_listed_data
          Make_listed_integer_data
          Make_listed_product_space
          Make_listed_real_data
          Make_logical_literal
          Make_maths_enum_literal
          Make_maths_real_variable
          Make_maths_tuple_literal
          Make_mult_expression
          Make_parallel_composed_function
          Make_partial_derivative_expression
          Make_partial_derivative_function
          Make_polar_complex_number_region
          Make_rationalize_function
          Make_real_interval_from_min
          Make_real_interval_to_max
          Make_real_literal
          Make_regular_table_function
          Make_reindexed_array_function
          Make_repackaging_function
          Make_selector_function
          Make_series_composed_function
          Make_sin_expression
          Make_standard_table_function
          Make_strict_triangular_matrix
          Make_string_literal
          Make_unary_minus_expression
          Make_uniform_product_space
          Max_exists
          Max_included
          Member_of
          Min_exists
          Min_included
          No_cyclic_domain_reference
          No_cyclic_space_reference
          Nondecreasing
          Number_superspace_of
          Number_tuple_subspace_check
          One_tuples_of
          Parallel_composed_function_composability_check
          Parallel_composed_function_domain_check
          Parse_express_identifier
          Partial_derivative_check
          Real_max
          Real_min
          Regular_indexing
          Remove_first
          Repackage
          Shape_of_array
          Simplify_function_application
          Simplify_generic_expression
          Simplify_maths_space
          Simplify_maths_value
          Singleton_member_of
          Space_dimension
          Space_is_continuum
          Space_is_singleton
          Stripped_typeof
          Subspace_of
          Subspace_of_es
          Substitute
          Values_space_of

Interfacing Schemas

          u Altered_package_mim  
          u Altered_package_xim  
          u Altered_part_mim  
          u Altered_part_xim  
          u Analysis_mim  
          u Analysis_product_relationships_mim  
          i Analysis_schema  
          u Analytical_model_mim  
          u Analytical_model_xim  
          u Ap203_configuration_controlled_3d_design_of_mechanical_parts_and_assemblies_mim  
          u Ap203_configuration_controlled_3d_design_of_mechanical_parts_and_assemblies_xim  
          u Ap209_multidisciplinary_analysis_and_design_mim  
          u Ap210_electronic_assembly_interconnect_and_packaging_design_mim  
          u Ap210_electronic_assembly_interconnect_and_packaging_design_xim  
          i Ap236_furniture_catalog_and_interior_design_mim  
          u Assembly_2d_shape_mim  
          u Assembly_2d_shape_xim  
          u Assembly_3d_shape_mim  
          u Assembly_3d_shape_xim  
          u Assembly_component_placement_requirements_mim  
          u Assembly_component_placement_requirements_xim  
          u Assembly_functional_interface_requirement_mim  
          u Assembly_functional_interface_requirement_xim  
          u Assembly_module_design_mim  
          u Assembly_module_design_xim  
          u Assembly_module_macro_definition_mim  
          u Assembly_module_macro_definition_xim  
          u Assembly_module_usage_view_mim  
          u Assembly_module_usage_view_xim  
          u Assembly_module_with_cable_component_2d_mim  
          u Assembly_module_with_cable_component_2d_xim  
          u Assembly_module_with_cable_component_3d_mim  
          u Assembly_module_with_cable_component_3d_xim  
          u Assembly_module_with_cable_component_mim  
          u Assembly_module_with_cable_component_xim  
          u Assembly_module_with_interconnect_component_mim  
          u Assembly_module_with_interconnect_component_xim  
          u Assembly_module_with_macro_component_mim  
          u Assembly_module_with_macro_component_xim  
          u Assembly_module_with_packaged_connector_component_mim  
          u Assembly_module_with_packaged_connector_component_xim  
          u Assembly_module_with_subassembly_mim  
          u Assembly_module_with_subassembly_xim  
          u Assembly_physical_interface_requirement_mim  
          u Assembly_physical_interface_requirement_xim  
          u Assembly_physical_requirement_allocation_mim  
          u Assembly_physical_requirement_allocation_xim  
          u Assembly_technology_mim  
          u Assembly_technology_xim  
          i Automotive_design  
          u Bare_die_mim  
          u Bare_die_xim  
          U Basic_data_representation_mim  
          u Basic_data_representation_xim  
          u Cable_mim  
          u Cable_xim  
          i Catalog_data_information_and_shape_representation_mim  
          i Catalog_data_information_mim  
          u Cfd_conditions_mim  
          u Cfd_equations_mim  
          u Cfd_model_mim  
          u Cfd_results_mim  
          u Cfd_specified_general_property_mim  
          u Characteristic_mim  
          u Characteristic_xim  
          i Chemical_substance_mim  
          i Chemical_substance_xim  
          u Component_feature_mim  
          u Component_feature_xim  
          u Component_grouping_mim  
          u Component_grouping_xim  
          u Composite_material_aspects_mim  
          i Conductivity_material_aspects_mim  
          i Conductivity_material_aspects_xim  
          u Connectivity_allocation_to_physical_network_mim  
          u Connectivity_allocation_to_physical_network_xim  
          u Datum_difference_based_model_mim  
          u Datum_difference_based_model_xim  
          i Design_material_aspects_mim  
          i Design_product_data_management_mim  
          i Design_product_data_management_xim  
          u Design_specific_assignment_to_assembly_usage_view_mim  
          u Design_specific_assignment_to_assembly_usage_view_xim  
          u Design_specific_assignment_to_interconnect_usage_view_mim  
          u Design_specific_assignment_to_interconnect_usage_view_xim  
          u Device_marking_mim  
          u Device_marking_xim  
          u Discrete_shield_mim  
          u Discrete_shield_xim  
          i Domain_schema  
          u Edge_shape_feature_mim  
          u Edge_shape_feature_xim  
          u Electrical_network_definition_mim  
          u Electrical_network_definition_xim  
          R Explicit_constraint_schema  
          u Extended_geometric_tolerance_mim  
          u Extended_geometric_tolerance_xim  
          u Fabrication_joint_mim  
          u Fabrication_joint_xim  
          u Fabrication_requirement_mim  
          u Fabrication_requirement_xim  
          u Fabrication_technology_mim  
          u Fabrication_technology_xim  
          u Fea_definition_relationships_mim  
          u Fea_material_aspects_mim  
          i Feature_and_connection_zone_mim  
          i Feature_and_connection_zone_xim  
          u Footprint_definition_mim  
          u Footprint_definition_xim  
          u Functional_assignment_to_part_mim  
          u Functional_assignment_to_part_xim  
          u Functional_decomposition_to_assembly_design_mim  
          u Functional_decomposition_to_assembly_design_xim  
          u Functional_decomposition_to_design_mim  
          u Functional_decomposition_to_design_xim  
          u Functional_decomposition_to_interconnect_design_mim  
          u Functional_decomposition_to_interconnect_design_xim  
          u Functional_decomposition_with_nodal_representation_to_packaged_mapping_mim  
          u Functional_decomposition_with_nodal_representation_to_packaged_mapping_xim  
          u Functional_specification_mim  
          u Functional_specification_xim  
          u Functional_unit_requirement_allocation_mim  
          u Functional_unit_requirement_allocation_xim  
          u Functional_usage_view_mim  
          u Functional_usage_view_xim  
          i Furniture_interior_decoration_mim  
          i Generic_material_aspects_mim  
          i Generic_material_aspects_xim  
          i Hierarchy_schema  
          U Ida_step_aim_schema  
          u Ida_step_schema_xim  
          u Integral_shield_mim  
          u Integral_shield_xim  
          u Interconnect_2d_shape_mim  
          u Interconnect_2d_shape_xim  
          u Interconnect_module_connection_routing_mim  
          u Interconnect_module_connection_routing_xim  
          u Interconnect_module_to_assembly_module_relationship_mim  
          u Interconnect_module_to_assembly_module_relationship_xim  
          u Interconnect_module_usage_view_mim  
          u Interconnect_module_usage_view_xim  
          u Interconnect_module_with_macros_mim  
          u Interconnect_module_with_macros_xim  
          u Interconnect_non_planar_shape_mim  
          u Interconnect_non_planar_shape_xim  
          u Interconnect_physical_requirement_allocation_mim  
          u Interconnect_physical_requirement_allocation_xim  
          u Interconnect_placement_requirements_mim  
          u Interconnect_placement_requirements_xim  
          u Interface_component_mim  
          u Interface_component_xim  
          u Land_mim  
          u Land_xim  
          u Layered_3d_shape_mim  
          u Layered_3d_shape_xim  
          u Layered_interconnect_complex_template_mim  
          u Layered_interconnect_complex_template_xim  
          u Layered_interconnect_module_2d_design_mim  
          u Layered_interconnect_module_2d_design_xim  
          u Layered_interconnect_module_3d_design_mim  
          u Layered_interconnect_module_3d_design_xim  
          u Layered_interconnect_module_design_mim  
          u Layered_interconnect_module_design_xim  
          u Layered_interconnect_module_with_printed_component_design_mim  
          u Layered_interconnect_module_with_printed_component_design_xim  
          u Layered_interconnect_simple_template_mim  
          u Layered_interconnect_simple_template_xim  
          u Layout_macro_definition_mim  
          u Layout_macro_definition_xim  
          u Lksoft_extensions_xim  
          i Material_property_definition_schema  
          R Mathematical_context_schema  
          R Mathematical_description_of_distribution_schema  
          U Maths_space_mim  
          U Maths_value_mim  
          u Mesh_connectivity_mim  
          R Mesh_connectivity_schema  
          u Mesh_function_mim  
          R Mesh_function_schema  
          u Mesh_topology_mim  
          R Mesh_topology_schema  
          u Model_parameter_mim  
          u Model_parameter_xim  
          u Network_functional_design_view_mim  
          u Network_functional_design_view_xim  
          u Non_feature_shape_element_mim  
          u Non_feature_shape_element_xim  
          u Package_mim  
          u Package_xim  
          u Packaged_connector_model_mim  
          u Packaged_connector_model_xim  
          u Packaged_part_black_box_model_mim  
          u Packaged_part_black_box_model_xim  
          u Packaged_part_white_box_model_mim  
          u Packaged_part_white_box_model_xim  
          R Parameterization_schema  
          i Parameterized_catalog_data_and_shape_representation_mim  
          i Parameterized_catalog_data_information_mim  
          u Part_and_zone_laminate_tables_mim  
          u Part_external_reference_mim  
          u Part_external_reference_xim  
          u Part_feature_function_mim  
          u Part_feature_function_xim  
          u Part_feature_grouping_mim  
          u Part_feature_grouping_xim  
          u Part_template_3d_shape_mim  
          u Part_template_3d_shape_xim  
          u Part_template_mim  
          u Part_template_non_planar_shape_mim  
          u Part_template_non_planar_shape_xim  
          u Part_template_shape_with_parameters_mim  
          u Part_template_shape_with_parameters_xim  
          u Part_template_xim  
          i Pdm_material_aspects_mim  
          u Physical_component_feature_mim  
          u Physical_component_feature_xim  
          u Physical_connectivity_definition_mim  
          u Physical_connectivity_definition_xim  
          u Physical_node_requirement_to_implementing_component_allocation_mim  
          u Physical_node_requirement_to_implementing_component_allocation_xim  
          u Physical_unit_2d_design_view_mim  
          u Physical_unit_2d_design_view_xim  
          u Physical_unit_2d_shape_mim  
          u Physical_unit_2d_shape_xim  
          u Physical_unit_3d_design_view_mim  
          u Physical_unit_3d_design_view_xim  
          u Physical_unit_3d_shape_mim  
          u Physical_unit_3d_shape_xim  
          u Physical_unit_design_view_mim  
          u Physical_unit_design_view_xim  
          u Physical_unit_non_planar_design_view_mim  
          u Physical_unit_non_planar_design_view_xim  
          u Physical_unit_shape_with_parameters_mim  
          u Physical_unit_shape_with_parameters_xim  
          u Physical_unit_usage_view_mim  
          u Physical_unit_usage_view_xim  
          u Planned_characteristic_mim  
          u Planned_characteristic_xim  
          u Ply_orientation_specification_mim  
          u Pre_defined_datum_2d_symbol_mim  
          u Pre_defined_datum_2d_symbol_xim  
          u Pre_defined_datum_3d_symbol_mim  
          u Pre_defined_datum_3d_symbol_xim  
          u Pre_defined_datum_symbol_mim  
          u Pre_defined_datum_symbol_xim  
          u Printed_physical_layout_template_mim  
          u Printed_physical_layout_template_xim  
          u Product_analysis_mim  
          u Production_rule_mim  
          u Production_rule_xim  
          R Qualified_measure_schema  
          u Requirement_decomposition_mim  
          u Requirement_decomposition_xim  
          i Results_schema  
          u Sequential_laminate_assembly_design_mim  
          u Sequential_laminate_assembly_design_xim  
          u Signal_mim  
          u Signal_xim  
          R Solid_shape_element_schema  
          i Solid_with_local_modification_mim  
          u Specification_document_mim  
          u Specification_document_xim  
          u Stock_material_mim  
          u Stratum_non_planar_shape_mim  
          u Stratum_non_planar_shape_xim  
          i Surface_conditions_mim  
          i Surface_conditions_xim  
          u Test_requirement_allocation_mim  
          u Test_requirement_allocation_xim  
          u Thermal_network_definition_mim  
          u Thermal_network_definition_xim  
          i Variational_representation_schema  
          u Via_component_mim  
          u Via_component_xim