physics-equationPreview
Global differential-algebraic system
Expression-defined differential residuals and algebraic constraints evaluated by the graph-native JAX runtime.
Reference contract
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | global | — |
| latex | \mathbf f(t,\mathbf q,\dot{\mathbf q},\mathbf p,\mathbf u)=\mathbf 0,\qquad\mathbf g(t,\mathbf q,\mathbf p,\mathbf u)=\mathbf 0 | — |
| mathml | <math display="block"><mrow><mi>f</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>q</mi><mo>,</mo><mover><mi>q</mi><mo>.</mo></mover><mo>,</mo><mi>p</mi><mo>,</mo><mi>u</mi><mo>)</mo><mo>=</mo><mn>0</mn><mo>,</mo><mi>g</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>q</mi><mo>,</mo><mi>p</mi><mo>,</mo><mi>u</mi><mo>)</mo><mo>=</mo><mn>0</mn></mrow></math> | — |
| name | Global differential-algebraic system | — |
| section | governing-equation | — |
Expression-defined differential residuals and algebraic constraints evaluated by the graph-native JAX runtime.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | global |
| latex | \mathbf f(t,\mathbf q,\dot{\mathbf q},\mathbf p,\mathbf u)=\mathbf 0,\qquad\mathbf g(t,\mathbf q,\mathbf p,\mathbf u)=\mathbf 0 |
| mathml | <math display="block"><mrow><mi>f</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>q</mi><mo>,</mo><mover><mi>q</mi><mo>.</mo></mover><mo>,</mo><mi>p</mi><mo>,</mo><mi>u</mi><mo>)</mo><mo>=</mo><mn>0</mn><mo>,</mo><mi>g</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>q</mi><mo>,</mo><mi>p</mi><mo>,</mo><mi>u</mi><mo>)</mo><mo>=</mo><mn>0</mn></mrow></math> |
| name | Global differential-algebraic system |
| section | governing-equation |