The Camera Sensor Crop Factor & 35mm Equivalent Focal Length Sizer provides an interactive three-variable algebraic modeling interface for exploring relative camera sensor dimensions, field-of-view scaling, and lens focal length proportions.

### Algebraic Ratio Formulation The component evaluates optical parameters using three generalized algebraic relationships: - Primary Metric: $(val_1 \times val_2) / \max(0.01, val_3)$. In photographic lens modeling, this represents scaled focal reach relative to aperture diffraction or sensor size ratio. - Geometric Mean (Secondary Index): $\sqrt{\max(0, val_1 \times val_2)}$, modeling transitional diagonal sensor format dimensions. - Efficiency Ratio (%): $\min(100, \max(0, (val_1 / (val_1 + val_2)) \times 100))$, modeling proportional sensor area coverage.

### Note on Photographic Optics & 35mm Full-Frame Equivalency This calculator computes a generalized three-parameter algebraic proxy. In photographic optics, true crop factor ($CF$) compares the diagonal dimension of a reference $35\text{mm}$ full-frame sensor ($36 \times 24\text{ mm}$, diagonal $\approx 43.3\text{ mm}$) to a smaller sensor: - APS-C (Nikon/Sony/Fuji): $CF \approx 1.5\times$ - APS-C (Canon): $CF \approx 1.6\times$ - Micro Four Thirds: $CF \approx 2.0\times$ - 35mm Equivalent Focal Length: $f_{\text{eq}} = f_{\text{actual}} \times CF$ - 35mm Equivalent Depth of Field / Aperture: $N_{\text{eq}} = N \times CF$

### Worked Numeric Example Using default component parameter values: - Primary Dimension / Load ($val_1$): 100 - Operating Coefficient ($val_2$): 20 - Safety Factor / Loss Ratio ($val_3$): 5 - Evaluated Outputs: - Primary Metric: $(100 \times 20) / 5 = 400.00$ - Geometric Mean: $\sqrt{100 \times 20} = \sqrt{2000} \approx 44.72$ - Efficiency Ratio: $(100 / (100 + 20)) \times 100 = 83.33\%$

### Client-Side Processing Note All optical ratios calculate locally inside your web browser with zero server data storage.