Illustration prompt

Generated with the built-in image generation tool. Conceptual artwork, not simulation data.

Use case: scientific-educational. Create a refined two-panel scientific editorial illustration for a mathematical research webpage, illustrating a prescribed design and a free design in a Lagrangian. Wide landscape about 2:1, white background, navy lines, muted teal, small warm gold highlights, precise fine linework and restrained soft shading. Each panel shows exactly the same smooth bowl-shaped scalar-objective curve, with one horizontal design-coordinate axis and one small spherical marker constrained to lie on the curve. This is a conceptual analogy, not data. LEFT: place the marker on the rising right-hand side of the bowl, above and right of the minimum. A slender elegant gold fixing pin visibly holds that marker at its selected horizontal position, with a faint vertical guide to the horizontal axis. The curve continues smoothly through the marker; do not deform it with the pin. RIGHT: show the same bowl, but the fixing pin is lifted clearly away, and the marker is now at the bottom minimum with a short horizontal tangent. Add one restrained curved arrow tracing the descent from the former position to the minimum in this right panel. Keep the two objective curves identical, and keep their minima and axes aligned. Typography: only these exact labels, in a crisp modern sans serif: above left ‘PIN IMPOSED’; below left ‘Hold the design’; second line below left ‘Read its sensitivity’; above right ‘PIN REMOVED’; below right ‘Choose the design’; second line below right ‘Find a stationary point’. Do not add any other words, equations, symbols, numbers, legends or labels. The precise Lagrangian and multiplier equations are provided separately in the webpage caption. Ensure comfortable whitespace, mathematical sobriety, and legibility at website width. No decorative network, no people, no photorealistic scene, no watermark.