This client-side numerical workbench models parametric scaling using three adjustable engineering inputs. Rather than parsing media codec bitrates or container overhead directly, the component computes proportional design outputs, geometric mean metrics, and load ratios directly in client JavaScript.

### Interface Parameters and Math The tool accepts three configurable inputs and evaluates three real-time outputs:

- **Primary Dimension / Load ($V_1$):** Baseline numerical quantity (defaults to 100). - **Operating Coefficient ($V_2$):** Multiplicative scale coefficient (defaults to 20). - **Safety / Rate Factor ($V_3$):** Divisor factor clamped to at least 0.01 (defaults to 5).

**Output Formulations:** - **Calculated Result:** Evaluated as $(V_1 \times V_2) / \max(0.01, V_3)$, yielding the primary design output. - **Root Factor:** Evaluated as $\sqrt{\max(0, V_1 \times V_2)}$, representing the unweighted geometric mean between load and coefficient. - **Efficiency Rating:** Evaluated as $\min(100, \max(0, [V_1 / (V_1 + V_2)] \times 100))$, indicating the primary load share percentage.

*Important note on video encoding:* Despite the slug name, this component is a generic three-term mathematical template from the Engineering Suite. It does not ingest video durations, frame rates, audio bitrates, or codec profiles (such as Apple ProRes 422 HQ, ProRes 4444, or HEVC/H.265 CRF presets). To estimate actual video storage sizes manually, use the standard equation: $\text{Gigabytes} \approx (\text{Bitrate in Mbps} \times \text{Duration in seconds}) / 8000$.

### Worked Numeric Example Suppose an engineer sets: - Primary Dimension / Load ($V_1$): 250 - Operating Coefficient ($V_2$): 40 - Safety / Rate Factor ($V_3$): 8

**Calculated Values:** 1. **Calculated Result:** $(250 \times 40) / 8 = 10,000 / 8 = 1250.00$. 2. **Root Factor:** $\sqrt{250 \times 40} = \sqrt{10,000} = 100.00$. 3. **Efficiency Rating:** $[250 / (250 + 40)] \times 100 = (250 / 290) \times 100 \approx 86.21\%$.

### In-Browser Processing Guarantee Every value updates dynamically on input change using local React state. No numbers, video filenames, or hardware telemetry ever leave your device.