analyze-magnetic-levitation
Analizar sistemas de levitación magnética aplicando el teorema de Earnshaw para determinar si la levitación estática pasiva es posible, luego identificando el mecanismo de elusión apropiado (diamagnético, superconductor, retroalimentación activa o estabilizado por giro). Usar al evaluar transporte maglev, rodamientos magnéticos, levitación superconductora, suspensión diamagnética o dispositivos tipo Levitron. Cubre cálculos de balance de fuerzas, análisis de estabilidad en todos los modos espaciales y de inclinación, y distinciones entre efecto Meissner y anclaje de flujo.
trend-research
Research trending topics and content strategies for Douyin (抖音) and Xiaohongshu (小红书). Use this skill whenever the user wants to find trending topics, research what's popular on Chinese social media platforms, explore content opportunities, discover viral content patterns, or when the pipeline step is "research". Covers both broad platform-wide trend surveys and deep-dive analysis into specific topic areas.
complex-reasoning
Multi-step reasoning patterns and frameworks for systematic problem solving. Activate for Chain-of-Thought, Tree-of-Thought, hypothesis-driven debugging, and structured analytical approaches that leverage extended thinking.
consult-natural-history
Reference Hildegard von Bingen's Physica natural history knowledge. Covers classification of plants, stones, animals, fish, birds, elements, and trees with their medicinal, symbolic, and practical properties. Enables cross- referencing between categories and application guidance. Use when exploring a specific plant, stone, or animal from Hildegard's perspective, researching medieval natural history and cosmology, cross-referencing properties across categories, or integrating Physica knowledge into health, spiritual, or creative practice.
research-word-etymology
Research the etymology of a word by tracing proto-language roots, identifying cognates across language families, documenting semantic drift with dated attestations, and flagging folk etymologies. Use when investigating word origins, comparing cognate sets across related languages, charting historical meaning changes, or debunking popular but unsupported origin stories.
compose-sacred-music
以希尔德加德·冯·宾根独特的调式风格创作或分析圣乐。涵盖调式选择、旋律轮廓 （宽音域旋律）、歌词配曲（音节式和花腔式）、纽姆记谱法和礼仪背景，包括 对唱、续唱和应答。适用于以希尔德加德风格创作新作品、分析现有圣咏的结构和 调式、研究中世纪调式音乐、准备演出或教授希尔德加德的音乐，或为拉丁圣诗配曲。
solve-trigonometric-problem
Resolver ecuaciones trigonométricas y problemas de resolución de triángulos mediante identidades fundamentales, transformaciones de ángulo, ley de senos, ley de cosenos, y análisis de dominio/período. Cubre ecuaciones lineales y cuadráticas en funciones trigonométricas, sistemas trigonométricos, y resolución completa de triángulos oblicuos con verificación de caso ambiguo.
consult-natural-history
ヒルデガルト・フォン・ビンゲンのPhysicaの博物学知識を参照する。植物、鉱物、 動物、魚、鳥、元素、樹木の分類とその薬用、象徴的、実用的特性をカバーする。 カテゴリ間の相互参照と応用ガイダンスを提供する。ヒルデガルトの視点から特定の 植物・鉱物・動物を探求する時、中世の博物学と宇宙論を研究する時、カテゴリ間で 特性を相互参照する時、Physicaの知識を健康・精神・創造的実践に統合する時に使用する。
consult-natural-history
Reference Hildegard von Bingen's Physica natural history knowledge. Covers classification of plants, stones, animals, fish, birds, elements, and trees with their medicinal, symbolic, and practical properties. Enables cross- referencing between categories and application guidance. Use when exploring a specific plant, stone, or animal from Hildegard's perspective, researching medieval natural history and cosmology, cross-referencing properties across categories, or integrating Physica knowledge into health, spiritual, or creative practice.
apply-gematria
Calcular y analizar gematría (valores numéricos hebreos) usando métodos estándar, ordinal y reducido. Cubre conversión de palabra a número, comparaciones de isopsefia y marcos interpretativos. Usar al calcular el valor numérico de una palabra o frase hebrea, al comparar dos palabras por valores de gematría compartidos, al estudiar un versículo bíblico o nombre divino para correspondencias numéricas, o al conectar un resultado numérico con su posición en el Árbol de la Vida.
solve-modular-arithmetic
Resolver problemas de aritmética modular incluyendo congruencias, sistemas mediante el Teorema Chino del Resto, inversos modulares y aplicaciones del teorema de Euler. Cubre enfoques tanto manuales como computacionales. Usar al resolver congruencias lineales, calcular inversos modulares, evaluar exponenciaciones modulares grandes, trabajar con congruencias simultáneas (TCR) u operar en grupos cíclicos y contextos de logaritmo discreto.
compose-sacred-music
Compose or analyze sacred music in Hildegard von Bingen's distinctive modal style. Covers modal selection, melodic contour (wide-range melodies), text-setting (syllabic and melismatic), neumatic notation, and liturgical context for antiphons, sequences, and responsories. Use when composing a new piece in Hildegardian style, analyzing an existing chant for structure and mode, researching medieval modal music, preparing to perform or teach Hildegard's music, or setting Latin sacred texts.
explore-diophantine-equations
ディオファントス方程式（整数解を持つ方程式）を系統的に解く。線形ディオファントス 方程式、ペル方程式、ピタゴラス三つ組、フェルマーの最終定理に関連する方程式、 およびp進解析や降下法による解法を含む。
quantum-mechanics-explainer
Quantum physics expert making counterintuitive concepts accessible while maintaining mathematical rigor
mathematical-logic-expert
Expert in formal logic, model theory, computability, and foundations of mathematics
topology-and-geometry-guide
Expert in point-set topology, algebraic topology, differential geometry, and geometric intuition for abstract concepts
physics-fundamentals-tutor
Classical and modern physics expert covering mechanics, electromagnetism, thermodynamics, quantum mechanics, and relativity
representation-ethics
The question isn't whether we CAN simulate people. It's how we do it with dignity.
logic-and-argumentation-specialist
Expert in formal logic, informal logic, fallacies, and argumentation theory
eastern-philosophy-guide
Expert in Asian philosophical traditions including Buddhism, Taoism, Confucianism, and Hindu philosophy
medieval-scholasticism-expert
Scholar of medieval philosophy covering Aquinas, Scotus, Ockham, and the synthesis of Aristotelian philosophy with Christian theology
ethics-and-moral-philosophy-expert
Comprehensive ethics expert covering virtue ethics, deontology, consequentialism, and applied ethical dilemmas