ENTITY definite_integral_expression

(* SCHEMA step_merged_ap_schema; *)

-- IN AP238 STEP-NC/AP242
ENTITY definite_integral_expression
   SUBTYPE OF (quantifier_expression);
      lower_limit_neg_infinity : BOOLEAN;
      upper_limit_pos_infinity : BOOLEAN;
   DERIVE
      integrand : generic_expression := SELF\multiple_arity_generic_expression.operands[1];
      variable_of_integration : maths_variable := SELF\multiple_arity_generic_expression.operands[2];
      SELF\quantifier_expression.variables : LIST [1:1] OF UNIQUE generic_variable := [ variable_of_integration ];
   WHERE
      WR1:
         has_values_space(integrand);
      WR2:
         space_is_continuum(values_space_of(integrand));
      WR3:
         definite_integral_expr_check(SELF\multiple_arity_generic_expression.operands, lower_limit_neg_infinity, upper_limit_pos_infinity);
END_ENTITY;

Explicit Attributes

Entity definite_integral_expression has the following local and inherited explicit attributes:

Attribute	Type	Defined By
operands	LIST OF generic_expression (ENTITY)	multiple_arity_generic_expression
variables*	LIST OF generic_variable (ENTITY)	definite_integral_expression(Redcl from quantifier_expression)
lower_limit_neg_infinity	BOOLEAN	definite_integral_expression
upper_limit_pos_infinity	BOOLEAN	definite_integral_expression

* - Explicit attribute redeclared as derived

Derived Attributes

Entity definite_integral_expression has the following local and inherited derived attributes:

Attribute	Type	Defined By
integrand	generic_expression (ENTITY)	definite_integral_expression
variable_of_integration	maths_variable (ENTITY)	definite_integral_expression
variables	LIST OF generic_variable (ENTITY)	definite_integral_expression(Redcl from quantifier_expression)

Inverse Attributes

No Inverse Attributes

Supertypes

Entity definite_integral_expression inherits from the following supertypes:
  generic_expression
    multiple_arity_generic_expression
      quantifier_expression

Subtypes

No subtypes

Referenced By

Entity definite_integral_expression and its supertypes are referenced by the following definitions:

Definition	Type	Referenced Entity
abstracted_expression_function	ENTITY	quantifier_expression
abstracted_expression_function	ENTITY	multiple_arity_generic_expression
abstracted_expression_function	ENTITY	generic_expression
acyclic	FUNCTION	generic_expression
acyclic	FUNCTION	multiple_arity_generic_expression
all_members_of_es	FUNCTION	generic_expression
basic_sparse_matrix	ENTITY	multiple_arity_generic_expression
binary_generic_expression	ENTITY	generic_expression
concat_expression	ENTITY	multiple_arity_generic_expression
convert_to_operand	FUNCTION	generic_expression
convert_to_operands	FUNCTION	generic_expression
convert_to_operands_prcmfn	FUNCTION	generic_expression
definite_integral_expression	ENTITY	multiple_arity_generic_expression
definite_integral_expression	ENTITY	quantifier_expression
definite_integral_expression	ENTITY	generic_expression
definite_integral_expr_check	FUNCTION	generic_expression
expression_denoted_function	ENTITY	generic_expression
expression_is_constant	FUNCTION	generic_expression
format_function	ENTITY	generic_expression
free_variables_of	FUNCTION	quantifier_expression
free_variables_of	FUNCTION	multiple_arity_generic_expression
free_variables_of	FUNCTION	generic_expression
function_applicability	FUNCTION	generic_expression
function_application	ENTITY	multiple_arity_generic_expression
function_application	ENTITY	generic_expression
generic_expression	ENTITY	multiple_arity_generic_expression
has_values_space	FUNCTION	generic_expression
index_expression	ENTITY	generic_expression
interval_expression	ENTITY	multiple_arity_generic_expression
interval_expression	ENTITY	generic_expression
is_acyclic	FUNCTION	generic_expression
make_atom_based_literal	FUNCTION	generic_expression
make_binary_literal	FUNCTION	generic_expression
make_boolean_literal	FUNCTION	generic_expression
make_cartesian_complex_number_region	FUNCTION	generic_expression
make_complex_number_literal	FUNCTION	generic_expression
make_elementary_function	FUNCTION	generic_expression
make_elementary_space	FUNCTION	generic_expression
make_extended_tuple_space	FUNCTION	generic_expression
make_finite_integer_interval	FUNCTION	generic_expression
make_finite_real_interval	FUNCTION	generic_expression
make_finite_space	FUNCTION	generic_expression
make_function_application	FUNCTION	generic_expression
make_function_application	FUNCTION	multiple_arity_generic_expression
make_function_space	FUNCTION	generic_expression
make_int_literal	FUNCTION	generic_expression
make_listed_product_space	FUNCTION	generic_expression
make_logical_literal	FUNCTION	generic_expression
make_maths_enum_literal	FUNCTION	generic_expression
make_maths_tuple_literal	FUNCTION	generic_expression
make_parallel_composed_function	FUNCTION	multiple_arity_generic_expression
make_parallel_composed_function	FUNCTION	generic_expression
make_polar_complex_number_region	FUNCTION	generic_expression
make_real_interval_from_min	FUNCTION	generic_expression
make_real_interval_to_max	FUNCTION	generic_expression
make_real_literal	FUNCTION	generic_expression
make_string_literal	FUNCTION	generic_expression
make_uniform_product_space	FUNCTION	generic_expression
maths_expression	SELECT	generic_expression
maths_value	SELECT	generic_expression
multiple_arity_boolean_expression	ENTITY	multiple_arity_generic_expression
multiple_arity_generic_expression	ENTITY	generic_expression
multiple_arity_numeric_expression	ENTITY	multiple_arity_generic_expression
parallel_composed_function	ENTITY	multiple_arity_generic_expression
parallel_composed_function	ENTITY	generic_expression
partial_derivative_expression	ENTITY	generic_expression
quantifier_expression	ENTITY	multiple_arity_generic_expression
series_composed_function	ENTITY	multiple_arity_generic_expression
simplify_function_application	FUNCTION	generic_expression
simplify_function_application	FUNCTION	quantifier_expression
simplify_generic_expression	FUNCTION	generic_expression
simplify_generic_expression	FUNCTION	multiple_arity_generic_expression
substitute	FUNCTION	quantifier_expression
substitute	FUNCTION	multiple_arity_generic_expression
substitute	FUNCTION	generic_expression
substring_expression	ENTITY	multiple_arity_generic_expression
substring_expression	ENTITY	generic_expression
unary_generic_expression	ENTITY	generic_expression
used_variables	FUNCTION	generic_expression
used_variables	FUNCTION	multiple_arity_generic_expression
validate_dependently_instantiable_entity_data_types	RULE	generic_expression
validate_dependently_instantiable_entity_data_types	RULE	multiple_arity_generic_expression
values_space_of	FUNCTION	definite_integral_expression
values_space_of	FUNCTION	generic_expression

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2023-12-22T16:32:02-05:00