.. _auto_curves_squared_resultant:

*COMPUTE THE SQUARED RESULTANT*
===============================

Computes the squared resultant of two XYZ curve sets by combining them element-wise as √(X₁²+X₂²) (or equivalent per-component squared-sum). Use this worker when you need a scalar resultant magnitude curve from two orthogonal or paired vector signals.

When to use
-----------

Classification: **process**.

Tagged: ``curve_math``, ``resultant``, ``squared_resultant``, ``transformation``, ``vector_magnitude``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - XYZ1 Curve
     - xy_z1curve
     - vector
     - —
     - 
     - First XYZ vector curve (or batch of curves); represents the first component signal (e.g., X or Y channel). Optional — if omitted, only the second curve contributes to the resultant.
   * - XYZ2 Curve
     - xy_z2curve
     - vector
     - —
     - 
     - Second XYZ vector curve (or batch of curves); represents the second component signal paired with XYZ1. Optional — if omitted, only the first curve contributes to the resultant.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - curves_squared_resultant_output_1
     - curves_squared_resultant_output_1
     - vector
     - Resulting scalar magnitude curve computed as the squared resultant of the two input XYZ curves; shares the same time/frequency abscissa as the inputs and contains the combined amplitude at each sample point.

Disciplines
-----------

- data.curve.pair
- data.curve.transform
- data.signal_processing

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=curves_squared_resultant <https://www.d3view.com/api/workflow/example?id=curves_squared_resultant>`_

.. raw:: html

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curves_squared_resultant</code>. Schema hash: <code>0e95fd2762ef</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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