.. _auto_math_resultant:

*COMPUTE THE SQUARE ROOT OF THE SUM OF SQUARES OF VALUES*
=========================================================

Computes the resultant (Euclidean norm) of one or more scalar values by taking the square root of the sum of their squares. Use this worker whenever you need a vector magnitude or RSS (root-sum-of-squares) combination of scalar components.

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

Classification: **process**.

Tagged: ``euclidean_norm``, ``magnitude``, ``math``, ``resultant``, ``root_sum_of_squares``, ``rss``, ``scalar``, ``transformations``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Number
     - number
     - scalar
     - —
     - ✓
     - One or more scalar numeric values (repeatable) whose root-sum-of-squares will be computed; supply at least one value, e.g. individual vector components in consistent units.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - math_resultant_output_1
     - math_resultant_output_1
     - scalar
     - Scalar result equal to √(Σxᵢ²) — the Euclidean norm of all supplied input values, returned in the same units as the inputs.

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

- data.curve.transform
- data.statistics

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

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

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>math_resultant</code>. Schema hash: <code>482f9952b08a</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>