II.
LibraryProcess overview
Reference · livelib-process:mathematics--symbolic-integration-differentiation
specializations/domains/science/mathematics/symbolic-integration-differentiation overview
Perform symbolic integration and differentiation with verification. Handles special functions, definite integrals, and generates step-by-step solutions.
Attributes
displayName
specializations/domains/science/mathematics/symbolic-integration-differentiation
description
Perform symbolic integration and differentiation with verification.
Handles special functions, definite integrals, and generates step-by-step solutions.
libraryPath
library/specializations/domains/science/mathematics/symbolic-integration-differentiation.js
specialization
mathematics
references
- - Bronstein, Symbolic Integration I
- - Geddes et al., Algorithms for Computer Algebra
- - Risch Algorithm: https://en.wikipedia.org/wiki/Risch_algorithm
- NIST Digital Library of Mathematical Functions
example
const result = await orchestrate('specializations/domains/science/mathematics/symbolic-integration-differentiation', {
expression: 'x^2 * exp(-x)',
operation: 'integrate',
variable: 'x',
limits: { lower: 0, upper: 'infinity' },
assumptions: ['x > 0']
});
usesAgents
- symbolic-computation-expert
Outgoing edges
lib_applies_to_domain1
- domain:mathematics·DomainMathematics
lib_belongs_to_specialization2
- specialization:computational-mathematics·SpecializationComputational Mathematics
- specialization:mathematics·SpecializationMathematics
lib_implements_workflow1
- workflow:experiment-design·WorkflowExperiment Design
lib_involves_role2
- role:research-engineer·RoleResearch Engineer
- role:computational-scientist·RoleComputational Scientist
lib_requires_skill_area3
- skill-area:statistical-analysis·SkillAreaStatistical Analysis
- skill-area:mathematical-reasoning·SkillAreaMathematical Reasoning
- skill-area:data-analysis·SkillAreaData Analysis
uses_agent1
- lib-agent:mathematics--symbolic-computation-expert·LibraryAgentsymbolic-computation-expert
Incoming edges
None.