Inference Startup Launch Explainer

Use the full template for a beat-synced UI morph loop rendered from a single HTML scene with Playwright and FFmpeg.

Inputs I will provide: 8–12 UI states, one accent color (or monochrome), and a royalty-free track near 120 BPM.

Visual rules:
- 1440×1440 warm-gray canvas, Geist typography.
- ONE continuously morphing shell (never cut into separate layers); content swaps inside with short blur only.
- Visible cursor causes EVERY click and drag; drags set values from cursor position while held, release springs from current state.
- Restrained springs and camera zooms; NO bounce easing, particles, glow, chrome gradients, mismatched icon weights, dead air, or template SaaS look.

Beat map (7 bars): button → loader → check → dynamic island → player play/pause → scrubber drag → overextended volume slider → toggle → liquid tab indicator → self-drawing chart + tooltips → command palette type/filter → Enter → toast → return to starting button.

Engine:
- Single HTML file; seek(t) computes ALL properties; no CSS transitions, no setInterval, no hidden frame state.
- Closed-form spring step responses with superposition for multi-step targets; independent edge springs for tabs/toggles.

Render:
- Analyze audio in NumPy; start on downbeat; UI clicks on measured peaks.
- Playwright: 4 subframes per output frame; FFmpeg tmix → 60fps motion blur.
- Before full render: one still per beat; fix off-grid timing and legibility; avoid will-change on camera-scaled nodes; separate in/out text timing; last frame MUST match first (cursor pos + velocity).

制作一段 15 秒的 dynamic motion-design showreel，用于设计师作品集。请尽情发挥（go all out）：自主决定视觉系统、字体排印、转场语言和配乐（可用 Web Audio 生成或我提供的音轨）。

约束：
- 前两秒必须有强钩子；全程避免超过 0.4s 的静止。
- 结尾 1 秒留 memorable logo/type moment。
- 优先用代码渲染（Canvas/SVG/HTML），单文件或可复现渲染脚本。
- 先给 480p 预览 + 分镜表（时间码 + 画面描述），我确认后再出 1080p 母版。

根据我提供的 [导数/积分] 课程提纲，做 3–5 分钟 Manim 微积分入门视频。

流程：
1. 列 3 项学习目标 + 引用来源；标注需确认的步骤。
2. 写逐镜讲稿：定义 → 几何直觉 → 极限式 → 求导法则示例 → 常见误区。
3. 用 Manim Community 渲染；旁白 edge-tts；生成 SRT 字幕与画面 lock。
4. 检查公式不被遮挡、字幕对齐、音轨不削波。
5. 交付：scene/*.py、render.sh、final.mp4、讲稿.md。若无法试听成片，标注「旁白需人工听审」。