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최상위 10_Wiki/Topic_*였던 4개 카테고리 폴더를 10_Wiki/Topics/Topic_* 로 재배치. 콘텐츠 변경 없음(순수 폴더 이동) — Topics/ 하위 나머지 폴더는 이미 지난 커밋에서 전부 정리된 상태(잔존 항목은 에이전트 운영 상태 및 사용자가 보존을 요청한 업데이트0615/무제 3.canvas 뿐).
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+---
+id: cpp-math
+title: "C++ Math"
+category: "Programming_Language"
+status: "draft"
+verification_status: "conceptual"
+canonical_id: ""
+aliases: ["max min functions", "cmath library", "C++ 수학 함수"]
+duplicate_of: ""
+source_trust_level: "B"
+confidence_score: 0.83
+created_at: 2026-07-04
+updated_at: 2026-07-04
+review_reason: ""
+merge_history: []
+tags: ["cpp", "programming-language", "w3schools", "math", "cmath"]
+raw_sources: ["https://www.w3schools.com/cpp/cpp_math.asp"]
+applied_in: []
+github_commit: ""
+---
+
+# [[CPP Math]]
+
+## 🎯 한 줄 통찰 (One-line insight)
+`max()` and `min()` are used with NO header include shown in the source's own examples, while `sqrt()`, `round()`, and `log()` explicitly require `#include <cmath>` — a distinction the source draws implicitly through its section structure (max/min presented first, standalone; `<cmath>` functions grouped separately under their own header requirement), suggesting C++ split basic comparison-style math from the broader mathematical function library across different availability boundaries. [S1]
+
+## 🧠 핵심 개념 (Core concepts)
+- **`max(x, y)`** — returns the higher of two values. [S1]
+- **`min(x, y)`** — returns the lower of two values. [S1]
+- **`<cmath>` header** — required for broader math functions: `sqrt()` (square root), `round()` (rounds a number), `log()` (natural logarithm), and more. [S1]
+
+## 📖 세부 내용 (Details)
+- Basic max/min: `cout << max(5, 10); cout << min(5, 10);`. [S1]
+- cmath-based functions: `#include <cmath> cout << sqrt(64); cout << round(2.6); cout << log(2);`. [S1]
+
+## ⚖️ 모순 및 업데이트 (Contradictions & updates)
+- 현재까지 발견된 모순 사항 없음 (No contradictions found in available sources).
+
+## 🛠️ 적용 사례 (Applied in summary)
+현재 발견된 실제 적용 사례가 없습니다 — sqrt/round/log 등 cmath 함수들이 이후 챕터의 다양한 계산 로직에서 재사용될 수 있는 기본 도구다. [S1]
+
+## 💻 코드 패턴 (Code patterns)
+Using cmath library functions for square root, rounding, and logarithm (C++):
+```cpp
+#include <cmath>
+cout << sqrt(64);   // 8
+cout << round(2.6); // 3
+cout << log(2);     // 0.693147...
+```
+
+## ✅ 검증 상태 및 신뢰도
+- **상태:** draft
+- **검증 단계:** conceptual
+- **출처 신뢰도:** B (W3Schools — widely used educational reference, not a primary standards body)
+- **신뢰 점수:** 0.83
+- **중복 검사 결과:** 신규 생성 (New discovery)
+
+## 🔗 지식 그래프 (Knowledge Graph)
+- **상위/루트:** [[C++ Tutorial]]
+- **관련 개념:** [[CPP Strings Numbers]], [[CPP Booleans]], [[C Math]]
+- **참조 맥락:** 수학 섹션 유일 챕터 — 불리언(Booleans) 섹션으로 이어짐.
+
+## 📚 출처 (Sources)
+- [S1] W3Schools — C++ Math — https://www.w3schools.com/cpp/cpp_math.asp
+
+## 📝 변경 이력 (Change history)
+- 2026-07-04: Initial draft synthesized from the W3Schools "C++ Math" page (Astra wiki-curation, P-Reinforce v3.1 format).