본문으로 건너뛰기
cccskills
무료GitHub에 공개

vector-algebra

Abstract math for vector algebra in 2D and 3D Euclidean space. USE FOR: implementing vector operations (add, subtract, negate, scalar multiply/divide); dot product and geometric interpretation; 3D cross product; 2D pseudo-cross product (scalar z-component); vector magnitude and normalization; angle between two vectors; linear interpolation; checking zero/unit/finite vectors. 2D is a special case of 3D with z=0. DO NOT USE FOR: quaternion operations (use quaternion-algebra); rotation representations (use 3d-rotation-theory); coordinate system conversions (use coordinate-system-conversions).

한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics스타 36(GitHub 36 + cccskills 0)

실행 점수 미검증

설치 방법 보기

포함된 파일(3)

  • SKILL.md2.5 KB
  • references/formulas.md2.0 KB
  • references/numerical-stability.md2.3 KB

SKILL.md(원문)

설치하기 전에 에이전트에게 전달되는 지시 내용을 확인할 수 있습니다.

Vector Algebra

Point − Point = Vector (displacement). Point + Vector = Point (translation).

Operations (component-wise)

OperationFormulaResult type
Additiona + b = (aₓ+bₓ, aᵧ+bᵧ[, a_z+b_z])Vector
Subtractiona − bVector
Scalar multiplykv = (kvₓ, kvᵧ[, kv_z])Vector
Scalar dividev/kVector
Negation−v = (−vₓ, −vᵧ[, −v_z])Vector

Magnitude & Normalization

‖v‖  = √(vₓ² + vᵧ² [+ v_z²])        (Euclidean norm)
‖v‖² = vₓ² + vᵧ² [+ v_z²]           (avoid sqrt when comparing)
v̂    = v / ‖v‖                         (unit vector; undefined if ‖v‖ = 0)

Dot Product

a · b = aₓbₓ + aᵧbᵧ [+ a_z b_z] = ‖a‖ ‖b‖ cos θ

a·b = 0 → perpendicular; a·b = ‖a‖‖b‖ → parallel; sign → acute/obtuse.

Cross Product (3D only)

a × b = (aᵧb_z − a_z bᵧ,  a_z bₓ − aₓb_z,  aₓbᵧ − aᵧbₓ)
‖a × b‖ = ‖a‖ ‖b‖ sin θ

Direction: right-hand rule. Anti-commutative: a × b = −(b × a)

2D pseudo-cross (scalar z-component only): aₓbᵧ − aᵧbₓ — positive = CCW, negative = CW.

Angle Between Vectors

θ = arccos(clamp(a·b / (‖a‖‖b‖), −1, 1)) result ∈ [0, π]

Special Vectors

NameCondition
Zero‖v‖ = 0
Unit (normalized)‖v‖ = 1
Basis 2DUnitX=(1,0), UnitY=(0,1)
Basis 3DUnitX=(1,0,0), UnitY=(0,1,0), UnitZ=(0,0,1)

Reference Files

FileLoad When
references/formulas.mdProjection, triple product, distance formulas, point operations
references/numerical-stability.mdNear-zero normalization, dot cancellation, magnitude comparison

리뷰

아직 리뷰가 없습니다. 사용해 본 소감을 남겨 주세요.

댓글

로그인 없이 쓸 수 있습니다. 사용 후기, 질문, 작동하지 않은 환경 등을 편하게 남겨 주세요.

아직 댓글이 없습니다. 첫 댓글을 남겨 보세요.

보내면 바로 공개됩니다. 이메일 주소나 전화번호 같은 개인 정보는 쓰지 마세요. URL은 2개까지입니다.

0 / 1,000자

이 양식은 reCAPTCHA로 보호되며 Google 개인정보처리방침 및 서비스 약관이 적용됩니다.

같은 저장소의 스킬

Abstract math for 3D rotation representations and conversions. USE FOR: understanding axis-angle representation; Euler angles (yaw/pitch/roll, convention choices); rotation matrices (SO(3)); quaternion-based rotation; converting between representations; identifying and avoiding gimbal lock; composing rotations; half-angle formula; right-hand rule. DO NOT USE FOR: quaternion arithmetic details (use quaternion-algebra); slerp/lerp interpolation (use interpolation-on-manifolds); coordinate system definitions (use coordinate-system-conversions).

한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics362026년 8월 10일 업데이트

Design and scaffold multi-agent squads/swarms using the graph orchestration pattern (nodes = agents, edges = dependencies/data flow). USE FOR: designing a coordination topology for a multi-agent squad (sequential pipeline, parallel fan-out/aggregation, branching, feedback loop, cyclic); building an orchestrator agent that delegates to specialist agents; setting up an adversarial/tribunal code or document review with independent reviewers; scaffolding a squad's agent files for a target coding-agent harness (e.g. Copilot CLI or Claude Code custom agents). DO NOT USE FOR: authoring a single agent's frontmatter/prompt body (use copilot-cli-custom-agents, claude-code-custom-agents, or the target harness's own skill); SKILL.md authoring (use create-skill); ad-hoc multi-agent chat with no explicit topology.

한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics362026년 8월 10일 업데이트

Find, inspect, query, redact, and troubleshoot logs, transcripts, sessions, and OpenTelemetry data from coding-agent harnesses on Windows, macOS, Linux, and WSL. USE FOR: GitHub Copilot in VS Code; Copilot CLI; Claude Code; OpenAI Codex; Gemini CLI; OpenCode; Cursor, Windsurf, Kiro, or other VS Code-family editors; locating log files; diagnosing tool or model failures; correlating turns, subagents, and tool calls; querying JSONL, plaintext, or SQLite without spending model tokens; preparing sanitized diagnostics. DO NOT USE FOR: application logs unrelated to coding agents; uploading raw logs; treating unstable transcript schemas as public APIs.

한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics362026년 8월 10일 업데이트

agents-md

무료

Author and maintain AGENTS.md files — the open, tool-agnostic format for giving coding agents project context. Use when: creating AGENTS.md; writing an agent instructions file; root or nested AGENTS.md for monorepos; migrating CLAUDE.md, AGENT.md, .cursor/rules, or copilot-instructions.md to AGENTS.md; greenfield project setup before code exists; brownfield onboarding for an existing codebase; documenting build/test/lint commands, code style, PR/commit conventions, and security considerations for agents; AGENTS.md discovery and precedence rules. Works for any language, framework, or project size. DO NOT USE FOR: authoring SKILL.md skill files (use create-skill); APM package/plugin authoring (use apm-producer); language-specific style rules (use language skills e.g. csharp-best-practices).

한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics362026년 8월 10일 업데이트

Abstract math for angle measurement, unit systems, and circular arithmetic. USE FOR: implementing angle types; converting between degrees/radians/gradians/revolutions; reducing angles to canonical range [0, Full); computing reference angles and quadrants; implementing safe modular arithmetic with negative inputs; angle addition and subtraction; classifying angles by sign and size. DO NOT USE FOR: trigonometric functions (use trigonometric-functions); coordinate conversions (use coordinate-system-conversions); interpolation (use interpolation-on-manifolds).

한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics362026년 8월 10일 업데이트

Create and maintain Claude Code custom subagents (.claude/agents/*.md files). USE FOR: authoring project (.claude/agents/) or user (~/.claude/agents/) subagent files; frontmatter fields (name, description, tools, disallowedTools, model, permissionMode, maxTurns, skills, mcpServers, hooks, memory, background, effort, isolation, color, initialPrompt); writing descriptions that drive automatic delegation and 'use proactively' phrasing; invoking subagents via natural language, @-mention, session-wide --agent, or the Agent tool; restricting which subagent types a coordinator can spawn with Agent(name1, name2); nested subagents and depth limits; built-in subagents (Explore, Plan, general-purpose, claude); troubleshooting a subagent that won't load or isn't invoked. DO NOT USE FOR: GitHub Copilot CLI custom agents (use copilot-cli-custom-agents); agent teams/teammates (a different, session-spanning feature); MCP server authoring; SKILL.md authoring (use create-skill).

한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.

NetFabric/NetFabric.Numerics362026년 8월 10일 업데이트

NetFabric의 스킬 모두 보기

이 스킬의 문제 신고