Lemonergy · Studio block
Is symmetric
Tests whether a square matrix equals its transpose within a tolerance.
- Implementation ID
native-is-symmetric- Reviewed
- 2026-10-27
Behavior
Symmetric when A = Aᵀ within absolute tolerance. The worked example connects this operation to signals in Lemonergy Studio.
Interface
| Name | Direction | Unit | Meaning |
|---|---|---|---|
in0 | input | 1 | Matrix; real 2 × 2 array. |
out0 | output | 1 | Symmetric; bool scalar. |
Parameters
Defaults are initial model values. Select values for your own model and operating conditions.
| Parameter | Unit | Default | Meaning and limits |
|---|---|---|---|
Absolute toleranceparams[0] | 1 | 1e-12 | Configured finite numerical parameter. |
Equations and rules
Symmetric when A = Aᵀ within absolute tolerance
Worked example
Is symmetric — worked example
Matrix = [1,2,2,4]. Symmetric at 0 s = 1.
Open Studio example after release →| Output | Time (s) | Expected value | Unit | Absolute tolerance |
|---|---|---|---|---|
Symmetricout0 | 0 | 1 | 1 | 1e-08 |
Explore the recorded outputs
Is symmetric recorded example
Is symmetric2 actual recorded samples. Lines are visual guides between samples. Synthetic example, not measured cell data.
Read the selected signal as a table
| Time (s) | Value |
|---|
Download the recorded samples (JSON) · Open this Studio example after release
Use in a workflow
Is symmetric — worked example
Tests whether a square matrix equals its transpose within a tolerance.
- Is symmetric: Symmetric when A = Aᵀ within absolute tolerance. The worked example connects this operation to signals in Lemonergy Studio.
- Use the block reference for settings and connections.
- Implementation tested locally; public release pending.
Connected concepts
Limits and interpretation
- Shapes and element types are explicit. Values must be finite; automatic reshaping and unit conversion are not performed.
Scientific and mathematical references
These sources explain the scientific and mathematical background. The behavior, interface and limits above define the Lemonergy implementation; a citation does not imply every model option in the source is implemented.
- NIST Digital Library of Mathematical Functions, §3.2 Linear Algebra
National Institute of Standards and Technology
Technical reference · Linear algebra and matrix operations; conceptual background, not software certification.
Implementation sources
This reference follows the public interface and locally verified numerical checks for an upcoming release.
Contract: Lemonergy Studio public contract · Verification record: verification-2026-10-27
docs/glossary/native-block-verification.json
This implementation and its workflow uses (JSON) · Knowledge graph (JSON-LD)