Mathematical Science Teachers, Postsecondary

Nsfc Justification Writer

为科研申请书"立项依据"章节写作/重构 LaTeX 正文内容，基于最小信息表输出价值与必要性、现状不足、科学问题/假说与项目切入点，并保持模板结构不被破坏。适用于 NSFC 及各类科研基金申请书的立项依据写作场景。

Supraforge14

Patrones de Arquitectura

降秩引擎

Domain-reduction skill that finds the smallest set of independent generators behind a messy field and proves them with four tests: generativity, minimality, independence, and predictive power. Use when the user asks for 秩 / irreducible structure / what really holds a domain up, or wants to reduce many phenomena to a small hidden core. Do not use it for ordinary summaries or plain-language rewrites.

bahayonghang13

Análisis de Datos

Math Solver

Step-by-step mathematical problem solving and explanations

rar-file13

Math History Researcher

Rigorous, source-traceable research workflow for History of Mathematics questions. Use this whenever the user asks for mathematician biography, chronology, attribution, historical significance, origin of concepts, conflicting historical claims, or paper-ready claim verification with citations/BibTeX candidates. Prefer this skill even for short factual answers. Run a serial 4-agent workflow (search -> verify -> write -> citation QA), with recursive and parallel sub-agent search in the retrieval stage.

SoFarSoGoodya12

Long Form Math

Write mathematics in a long-form, understanding-focused style with detailed proofs and rich exposition. Use when explaining mathematical concepts, writing proofs, tutoring math, creating educational math content, or when the user asks for mathematical explanations. Inspired by Jay Cummings' Real Analysis and Chartrand's Mathematical Proofs. Triggers on proof writing, theorem explanations, mathematical exposition, or math tutoring.

dashed11

Homework Grader Skill

Use this skill whenever a user wants to grade student homework from handwritten images — whether scanned, photographed, or taken on an iPad. Triggers include: "grade these homeworks", "mark student submissions", "check student answers against the solution key", "parse handwritten homework", "score student assignments", or any request involving images of handwritten student work that should be compared to a solution key. Also trigger when the user provides multiple student image sets alongside a PDF or image solution key and wants a graded spreadsheet output. Subject areas include geophysics, earth science, math, and equations. Always use this skill when student work is handwritten and needs structured, scored grading output — even if the user just says "can you grade these?" with images attached.

mdenolle11

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.

pjt22210

Construct Geometric Figure

使用尺规作图法构造几何图形：分析目标图形的几何约束，选择基本作图操作序列，执行每一步并标注所有点、线、圆弧，最后通过测量和推理验证构造的正确性。

pjt22210

Artes y Manualidades

Construct Geometric Figure

定規とコンパスを使用して幾何学的図形を正確に作図する。基本作図（垂直二等分線、角の二等分線、垂線）から正多角形および接線作図まで、作図可能性の判定とガウスの定理の適用を含む。

pjt22210

Sci Journal Submission Expert

SCI 期刊投稿全流程专家支持：预审诊断、梯度选刊、作者指南格式核查、数据与开放科学合规、审稿意见解析与逐点回复、Cover Letter 与投稿策略、出版伦理与合规边界、跨境 APC/豁免与发票流程、投稿系统状态与催稿策略、多刊并行规划。在用户提出选刊、desk rejection 风险、统计/报告规范、回复信、APC、预印本/署名/利益冲突等问题时触发。不用于：数据造假、图片篡改、一稿多投、虚假同行评审、代签版权/法律文件、或代替用户做最终学术结论。

hhx46545393910

Math Tutor

Mathematics subject expertise for study notes, problem-solving, and explanations. Covers algebra, calculus, statistics, linear algebra, and discrete math. Provides formulas, proof strategies, and step-by-step solutions. Use when studying math topics, creating math notes, solving math problems, or explaining mathematical concepts. Triggers - math help, algebra, calculus, derivatives, integrals, statistics, linear algebra, proofs, equations.

szeyu9

Mathematical Logic Expert

Expert in formal logic, model theory, computability, and foundations of mathematics

sandraschi9

Finanzas e Inversión

Calculus Tutor Single Multivariable

Comprehensive calculus expert covering limits, derivatives, integrals, sequences, series, and multivariable calculus with rigorous proofs and practical applications

sandraschi9

Mathematical Proofs Mentor

Expert in proof techniques, mathematical reasoning, and rigorous argumentation for students learning to write proofs

sandraschi9

Finanzas e Inversión

Probability Foundations

Models uncertainty with probability axioms, conditional reasoning, and distribution checks.

Logic Predicate Quantifiers

Applies first-order logic with quantifiers, domains, and formally scoped predicates.

Plugins de IDE

Tutorial

Guidelines for modifying the 21-step guided tutorial walkthrough.

georg-wuitschik-Roche6

Relations Functions Foundations

Formalizes relations and functions with properties, mappings, and compositional reasoning.

Finanzas e Inversión

Mathematics Axiomatic Set Reasoning Skill 2026

Desarrolla soluciones matematicas avanzadas para axiomatic set reasoning con rigor formal, validacion reproducible y decisiones auditables.

Machine Learning

Set Theory Foundations

Models problems with sets, subsets, unions, intersections, and cardinal reasoning.

Rudin Real Complex Analysis

Problem-solving with Rudin's Real and Complex Analysis textbook

scooter-lacroix5

Make Quiz

Create quiz questions in R/exams format for statistics, mathematics, or ML lectures. Use when the user asks to: create quiz questions, make Moodle quizzes, generate R/exams questions, write exam questions for a slide set or lecture, or says "/make-quiz". Produces schoice, mchoice, and num questions at mixed difficulty levels. Output renders to Moodle XML via exams2moodle() or to HTML for preview. Works with any course language.

slds-lmu5

Computación Científica

Formula Decoder Skill

Decodes mathematical and physical formulas using a 5-stage process: Confusion, Intuition, Symbol Mapping, Limit Testing, and Dimension Ascension. Combines the styles of Feynman, Sanderson, Euclid, and Victor for deep understanding.

cclank5

Gestión de Proyectos

Outline Graph Import

将大纲、课标或复习材料中的要点层级整理为图谱节点与关系，并批量写入当前项目。当教师提到导入大纲、课标整理、知识点结构化、批量建要点等关键词时激活此技能。

JinLingxi5