被审查的柴犬数学老师

{"type":"surreal photorealistic classroom scene with detailed chalkboard math lesson","style":"high-resolution realistic photo, slightly absurd internet meme tone, natural indoor classroom lighting, sharp chalk writing, 4:3 composition","main_subject":{"description":"a humanoid Shiba Inu dog teacher standing at the front of a classroom, wearing a white button-down dress shirt tucked into dark gray slacks with a black belt, one hand in pocket, holding a thin metal pointer in the other hand and pointing toward equations on the chalkboard","head":"orange-and-white Shiba Inu head with upright ears; the central face area is covered by a flat opaque square censor block in tan beige, creating a comically overdone moderation effect","customizable_subject":"{argument name=\"teacher animal\" default=\"Shiba Inu dog\"}","clothing":"{argument name=\"teacher outfit\" default=\"white dress shirt, dark gray slacks, black belt\"}","pose":"confident lecturer pose, facing the students while pointing to the board"},"setting":{"location":"Japanese classroom lecture room","foreground":"backs of 5 seated students visible at the bottom edge, mostly dark hair, one student in a gray hoodie on the right, all looking toward the teacher","furniture":"small wooden teacher podium centered near the bottom with an open gray laptop on top","background":"large dark green chalkboard spanning the wall, metal chalk tray along the bottom, chalk eraser on the far right"},"chalkboard":{"overall_text_style":"white chalk handwriting in Japanese with mathematical notation, clean but hand-drawn, dense lecture notes","main_title":{"position":"upper left","text":"{argument name=\"chalkboard title\" default=\"定数係数の常微分方程式\"}"},"topic_intro":{"position":"upper left below title","text":"次のような常微分方程式を考える。"},"central_equation":{"position":"upper left to center","text":"a_n y^(n) + a_{n-1} y^(n-1) + … + a_1 y' + a_0 y = 0"},"note":{"position":"below central equation","text":"ここで、a_n, a_{n-1}, …, a_0 は定数、a_n ≠ 0 とする。"},"sections_count":4,"sections":[{"label":"(1) 特性方程式","position":"left middle","content":"a_n r^n + a_{n-1} r^{n-1} + … + a_1 r + a_0 = 0"},{"label":"(2) 解の形","position":"left lower","content":"three bullet cases: distinct real roots r1, r2, …, rn; repeated root r of multiplicity m; complex conjugate roots α ± βi"},{"label":"example panel","position":"right side separated by a vertical chalk line","title":"【例】","content":"y'' − 3y' + 2y = 0; characteristic equation r^2 − 3r + 2 = 0; (r − 1)(r − 2) = 0; r = 1, 2; therefore y = C1 e^x + C2 e^{2x}"},{"label":"solution formulas","position":"left lower continuation","content":"y = C1 e^{r1 x} + C2 e^{r2 x} + … + Cn e^{rn x}; y = (C1 + C2 x + … + Cm x^{m−1}) e^{rx}; y = e^{αx}(C1 cos βx + C2 sin βx)"}]},"composition":{"camera":"student-eye-level view from the back of the classroom, medium-wide shot","framing":"teacher slightly right of center, pointer angled diagonally left toward the characteristic equation, chalkboard fills most of the image","mood":"serious academic lecture made absurd by the dog-headed teacher and censor square","quality":"photorealistic, coherent perspective, realistic fabric, fur, chalk dust texture, classroom depth of field"},"customizable_text":"{argument name=\"lesson topic\" default=\"constant-coefficient ordinary differential equations\"}"}