New: 97,000+ skills indexed from GitHub repos with 100+ stars · every skill safety-checkedBrowse top skillsTop skills
Esc to closeBrowse all skills
Submit a skillBrowse skills
Submit a skillBrowse skills

Agent skill

Vector Spaces

by parcadei in parcadei/Continuous-Claude-v3

Problem-solving strategies for vector spaces in linear algebra

MITAuto-check: notesResearch & Science

Install Vector Spaces

skills CLI
$ npx skills add parcadei/Continuous-Claude-v3 --skill vector-spaces -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install parcadei/Continuous-Claude-v3 vector-spaces --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .claude/skills && cp -r skills-src/.claude/skills/math/linear-algebra/vector-spaces .claude/skills/vector-spaces && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
vector-spaces
GitHub stars
3.9k
Used in
1 other repo
Token cost
~328 tokens
SKILL.md length
103 words
Files
1
Skills in repo
141
Repo updated
First seen
Licence
MIT

At a glance

Problem-solving strategies for vector spaces in linear algebra

  • Works in 4 steps: Check Subspace → Linear Independence → Basis and Dimension → …
  • Tasks that involve Math and symbolic computation
  • SKILL.md covers When to Use, Decision Tree, Tool Commands and Cognitive Tools Reference
  • Calls uv

What it does

Vector Spaces is an agent skill from parcadei/Continuous-Claude-v3. Problem-solving strategies for vector spaces in linear algebra

Its SKILL.md is about 330 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

It sits in Research & Science, covering Math and symbolic computation. It works with SymPy. The repository describes itself as: Context management for Claude Code. Hooks maintain state via ledgers and handoffs. MCP execution without context pollution. Agent orchestration with isolated context windows. The licence is MIT.

When your agent uses it

  • Tasks that involve Math and symbolic computation

Example prompts

  • “/vector-spaces”

Requirements

  • Python 3
  • Pre-approved tools (allowed-tools): Bash, Read

Workflow steps

4 steps, taken from the first numbered list in SKILL.md.

  1. Check Subspace
  2. Linear Independence
  3. Basis and Dimension
  4. Change of Basis

What it can do on your machine

Read from SKILL.md and the folder at commit d07ff4b. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves these tools, so the agent can use them without asking each time:

    • Bash
    • Read

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    Shell commands in SKILL.md call:

    • uv

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md. Its commands use uv, which can reach the network depending on how they are called.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Vector Spaces loads about 328 tokens when it runs. Until then it costs about 19 tokens; SKILL.md has 103 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~19
When it runs · the whole SKILL.md, loaded when a task matches
~328

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check: notes

The automated check noted patterns worth knowing about, such as sudo or a known installer.

  • NotePre-approves every shell command (allowed-tools: Bash)SKILL.md
    allowed-tools: Bash, Read

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from parcadei/Continuous-Claude-v3 at commit d07ff4b, republished under its MIT licence (© parcadei). 103 words, ~328 tokens.

Download SKILL.mdSave it as .claude/skills/vector-spaces/SKILL.md (or your agent's skills folder).
name
vector-spaces
description
Problem-solving strategies for vector spaces in linear algebra
allowed-tools
Bash, Read

Vector Spaces

When to Use

Use this skill when working on vector-spaces problems in linear algebra.

Decision Tree

  1. Check Subspace

    • Contains zero vector?
    • Closed under addition?
    • Closed under scalar multiplication?
    • Verify with z3_solve.py prove

  2. Linear Independence

    • Set up Ax = 0 where columns are vectors
    • sympy_compute.py nullspace "A"
    • Trivial nullspace = independent

  3. Basis and Dimension

    • Find spanning set, remove dependent vectors
    • sympy_compute.py rref "A" to find pivot columns
    • Dimension = number of pivots

  4. Change of Basis

    • Find transition matrix P
    • New coords = P^(-1) * old coords
    • sympy_compute.py inverse "P"

Tool Commands

Sympy_Nullspace
bash
uv run python -m runtime.harness scripts/sympy_compute.py nullspace "[[1,2,3],[4,5,6]]"
Sympy_Rref
bash
uv run python -m runtime.harness scripts/sympy_compute.py rref "[[1,2,3],[4,5,6]]"
Z3_Prove
bash
uv run python -m runtime.harness scripts/z3_solve.py prove "subspace_closed"

Cognitive Tools Reference

See .claude/skills/math-mode/SKILL.md for full tool documentation.

© parcadei, MIT. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

Just SKILL.md in .claude/skills/math/linear-algebra/vector-spaces of parcadei/Continuous-Claude-v3.

Open the folder on GitHubat commit d07ff4b

Used in 1 other repository

We found 1 copy of this SKILL.md (exact, near-identical or edited) in other folders, from 1 other GitHub owner. This page covers the copy in parcadei/Continuous-Claude-v3, which our catalogue first saw on October 7, 2026.

Compare with similar skills

Vector Spaces next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Vector Spaces compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Vector Spaces this skillparcadei/Continuous-Claude-v33.9k1 repos~328Automated safety check: NotesMIT
SympyzLanqing/codex-claude-academic-skills4.6k16 repos~3.4kAutomated safety check: PassMIT
Edu Analytic Geometrywy51ai/edulab1.4k1 repos~1.6kAutomated safety check: PassApache-2.0
Edu Solid Geometrywy51ai/edulab1.4k1 repos~1.1kAutomated safety check: PassApache-2.0
Math Toolsananddtyagi/cc-marketplace6872 repos~1.3kAutomated safety check: PassNone
Edu Chem Reactionwy51ai/edulab1.4k—~1.2kAutomated safety check: PassApache-2.0

Similar skills

  • Sympy

    zLanqing/codex-claude-academic-skills

    A skill your agent uses when working with symbolic mathematics in Python.

    4.6k GitHub starsUsed in 16 repos~3.4k tokens
    Research & ScienceAuto-check passed

  • Edu Analytic Geometry

    wy51ai/edulab

    把一道解析几何题解成一个自包含的交互教学网页：左栏题面 + 动态控制台（一个 可变参数滑块驱动实时重算的几何量 + 理论范围/定值指示），中栏 KaTeX 分步解析，右栏 2D Canvas 动态几何画板（椭圆/双曲线/抛物线/圆 + 动直线/动点 + 向量 + 标注 + 画笔涂鸦）。

    1.4k GitHub starsUsed in 1 repo~1.6k tokens
    Research & ScienceAuto-check passed

  • Edu Solid Geometry

    wy51ai/edulab

    把一道立体几何题解成一个自包含的交互教学网页：左侧 MathJax 分步解析， 右侧 Three.js 可交互 3D 模型（分步高亮 + 镜头切换）。支持三种入口——给定文字题目、 随机出题、上传题目图片识别后解题。覆盖正方体/长方体、棱锥/棱柱、圆柱/圆锥上的线面角、 二面角、异面直线夹角、点到平面距离、体积等题型，统一用"建系+向量法"，并由 sympy 精确 计算驱动（答案、3D…

    1.4k GitHub starsUsed in 1 repo~1.1k tokens
    Research & ScienceAuto-check passed

  • Math Tools

    ananddtyagi/cc-marketplace

    Deterministic mathematical computation using SymPy. An agent skill from ananddtyagi/cc-marketplace.

    687 GitHub starsUsed in 2 repos~1.3k tokens
    Research & ScienceAuto-check passed

  • Edu Chem Reaction

    wy51ai/edulab

    把一个化学反应做成自包含的微观 3D 交互演示网页：左/上为 Three.js 可交互分子动画 （拖滑块看断键·成键·原子重组，分步高亮），右为 KaTeX 反应方程 + 分步讲解 + 原子守恒计数 + 可选能量-反应进程曲线。支持三入口——给定文字反应/方程、随机出题、上传图片识别后演示。

    1.4k GitHub stars~1.2k tokensUpdated 9 days ago
    Research & ScienceAuto-check passed

  • Math Computation

    tradecatlabs/vibe-coding-cn

    Runs reproducible math computations and counterexample searches with SymPy, NumPy and mpmath, logging evidence without presenting results as proofs.

    17k GitHub stars~881 tokensUpdated 6 days ago
    Research & ScienceAuto-check passed

More from parcadei/Continuous-Claude-v3

All 141 skills in this repo

  • Tldr Deep

    parcadei/Continuous-Claude-v3

    Full 5-layer analysis of a specific function. An agent skill from parcadei/Continuous-Claude-v3.

    3.9k GitHub starsUsed in 2 repos~677 tokens
    Auto-check passed

  • Compound Learnings

    parcadei/Continuous-Claude-v3

    Transform session learnings into permanent capabilities (skills, rules, agents).

    3.9k GitHub starsUsed in 1 repo~1.6k tokens
    Auto-check: notes

  • Gradient Methods

    parcadei/Continuous-Claude-v3

    Problem-solving strategies for gradient methods in optimization

    3.9k GitHub starsUsed in 3 repos~1k tokens
    Auto-check: notes

  • Debug Hooks

    parcadei/Continuous-Claude-v3

    Systematic hook debugging workflow. An agent skill from parcadei/Continuous-Claude-v3.

    3.9k GitHub starsUsed in 1 repo~863 tokens
    Auto-check: notes

  • Math

    parcadei/Continuous-Claude-v3

    Unified math capabilities - computation, solving, and explanation.

    3.9k GitHub starsUsed in 3 repos~1.6k tokens
    Auto-check: notes

  • Math Model Selector

    parcadei/Continuous-Claude-v3

    Routes problems to appropriate mathematical frameworks using expert heuristics

    3.9k GitHub starsUsed in 3 repos~841 tokens
    Auto-check passed

Works with

Categories

Questions about Vector Spaces

What does Vector Spaces do?

Problem-solving strategies for vector spaces in linear algebra. Vector Spaces is an agent skill from parcadei/Continuous-Claude-v3.

When should I use Vector Spaces?

Vector Spaces fits situations like: tasks that involve Math and symbolic computation.

How do I install Vector Spaces in Claude Code?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill vector-spaces -a claude-code`. Or copy the skill folder (.claude/skills/math/linear-algebra/vector-spaces in parcadei/Continuous-Claude-v3) into .claude/skills/vector-spaces in your project. Claude Code loads it when a task matches its description.

How do I install Vector Spaces in Codex?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill vector-spaces -a codex`. Or copy the skill folder (.claude/skills/math/linear-algebra/vector-spaces in parcadei/Continuous-Claude-v3) into .agents/skills/vector-spaces in your project. Codex loads it when a task matches its description.

Can I use Vector Spaces in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add parcadei/Continuous-Claude-v3 --skill vector-spaces -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/vector-spaces, .gemini/skills/vector-spaces, .github/skills/vector-spaces and .opencode/skills/vector-spaces in your project.

What does Vector Spaces need to run?

Going by SKILL.md and its folder, Vector Spaces needs the command-line tools its instructions call (uv). Our summary lists: Python 3. Its frontmatter pre-approves these tools: Bash, Read.

Does Vector Spaces access the network?

SKILL.md contains no URLs. Its commands use uv, which can reach the network depending on how they are called. This is read from the text; nothing was executed.

Is Vector Spaces safe to install?

Our automated static check of SKILL.md found notes only (pre-approves every shell command (allowed-tools: bash)), nothing it rates as a warning. It is not a guarantee. Review the folder before installing.

What licence does Vector Spaces use?

Vector Spaces is published under the MIT licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does Vector Spaces use?

About 328 tokens (SKILL.md is roughly 1.3k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Vector Spaces?

Skills that share tags, products or a category with Vector Spaces: Sympy (zLanqing/codex-claude-academic-skills, 4.6k stars), Edu Analytic Geometry (wy51ai/edulab, 1.4k stars), Edu Solid Geometry (wy51ai/edulab, 1.4k stars) and Math Tools (ananddtyagi/cc-marketplace, 687 stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Vector Spaces?

parcadei (a GitHub user) maintains it in parcadei/Continuous-Claude-v3, which has 3,940 GitHub stars. The repository holds 141 skills in this directory. The repository was last updated on January 26, 2026.

Source: parcadei/Continuous-Claude-v3 on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.