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Agent skill

Entropy

by parcadei in parcadei/Continuous-Claude-v3

Problem-solving strategies for entropy in information theory

MITAuto-check: notesResearch & Science

Install Entropy

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

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

GitHub CLI
$ gh skill install parcadei/Continuous-Claude-v3 entropy --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/information-theory/entropy .claude/skills/entropy && 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
entropy
GitHub stars
3.9k
Used in
1 other repo
Token cost
~546 tokens
SKILL.md length
190 words
Files
1
Skills in repo
141
Repo updated
First seen
Licence
MIT

At a glance

Problem-solving strategies for entropy in information theory

  • Works in 5 steps: Shannon Entropy → Entropy Properties → Joint and Conditional Entropy → …
  • Research & Science work in your project
  • SKILL.md covers When to Use, Decision Tree, Tool Commands and Key Techniques, plus 1 more section
  • Calls uv

What it does

Entropy is an agent skill from parcadei/Continuous-Claude-v3. Problem-solving strategies for entropy in information theory

Its SKILL.md is about 550 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. 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

  • Research & Science work in your project

Example prompts

  • “/entropy”

Requirements

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

Workflow steps

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

  1. Shannon Entropy
  2. Entropy Properties
  3. Joint and Conditional Entropy
  4. Differential Entropy (Continuous)
  5. Maximum Entropy Principle

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

Entropy loads about 546 tokens when it runs. Until then it costs about 17 tokens; SKILL.md has 190 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~17
When it runs · the whole SKILL.md, loaded when a task matches
~546

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). 190 words, ~546 tokens.

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

Entropy

When to Use

Use this skill when working on entropy problems in information theory.

Decision Tree

  1. Shannon Entropy

    • H(X) = -sum p(x) log2 p(x)
    • Maximum for uniform distribution: H_max = log2(n)
    • Minimum = 0 for deterministic (one outcome certain)
    • scipy.stats.entropy(p, base=2) for discrete

  2. Entropy Properties

    • Non-negative: H(X) >= 0
    • Concave in p
    • Chain rule: H(X,Y) = H(X) + H(Y|X)
    • z3_solve.py prove "entropy_nonnegative"

  3. Joint and Conditional Entropy

    • H(X,Y) = -sum sum p(x,y) log2 p(x,y)
    • H(Y|X) = H(X,Y) - H(X)
    • H(Y|X) <= H(Y) with equality iff independent

  4. Differential Entropy (Continuous)

    • h(X) = -integral f(x) log f(x) dx
    • Can be negative!
    • Gaussian: h(X) = 0.5 * log2(2pie*sigma^2)
    • sympy_compute.py integrate "-f(x)*log(f(x))" --var x

  5. Maximum Entropy Principle

    • Given constraints, max entropy distribution is least biased
    • Uniform for no constraints
    • Exponential for E[X] = mu constraint
    • Gaussian for E[X], Var[X] constraints

Tool Commands

Scipy_Entropy
bash
uv run python -c "from scipy.stats import entropy; p = [0.25, 0.25, 0.25, 0.25]; H = entropy(p, base=2); print('Entropy:', H, 'bits')"
Scipy_Kl_Div
bash
uv run python -c "from scipy.stats import entropy; p = [0.5, 0.5]; q = [0.9, 0.1]; kl = entropy(p, q); print('KL divergence:', kl)"
Sympy_Entropy
bash
uv run python -m runtime.harness scripts/sympy_compute.py simplify "-p*log(p, 2) - (1-p)*log(1-p, 2)"

Key Techniques

From indexed textbooks:

  • [Elements of Information Theory] Elements of Information Theory -- Thomas M_ Cover & Joy A_ Thomas -- 2_, Auflage, New York, NY, 2012 -- Wiley-Interscience -- 9780470303153 -- 2fcfe3e8a16b3aeefeaf9429fcf9a513 -- Anna’s Archive. What is the channel capacity of this channel? This is the multiple-access channel solved by Liao and Ahlswede.

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/information-theory/entropy 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

Entropy 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.

Entropy compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Entropy this skillparcadei/Continuous-Claude-v33.9k1 repos~546Automated safety check: NotesMIT
Hypothesis Generationspacering-net/codeg3.8k15 repos~3.6kAutomated safety check: NotesMIT
GitHub Deep Researchbytedance/deer-flow83k5 repos~1.3kAutomated safety check: PassMIT
Nature Paper CardYuan1z0825/nature-skills46k2 repos~2.1kAutomated safety check: PassApache-2.0
Read arXiv Paperkarpathy/nanochat58k2 repos~494Automated safety check: PassMIT
Content Research Writerweapp-tailwindcss/weapp-tailwindcss1.9k25 repos~3.5kAutomated safety check: PassMIT

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Categories

Questions about Entropy

What does Entropy do?

Problem-solving strategies for entropy in information theory. Entropy is an agent skill from parcadei/Continuous-Claude-v3.

When should I use Entropy?

Entropy fits situations like: research & Science work in your project.

How do I install Entropy in Claude Code?

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

How do I install Entropy in Codex?

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

Can I use Entropy 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 entropy -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/entropy, .gemini/skills/entropy, .github/skills/entropy and .opencode/skills/entropy in your project.

What does Entropy need to run?

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

Does Entropy 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 Entropy 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 Entropy use?

Entropy 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 Entropy use?

About 546 tokens (SKILL.md is roughly 2.2k 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 Entropy?

Skills that share tags, products or a category with Entropy: Hypothesis Generation (spacering-net/codeg, 3.8k stars), GitHub Deep Research (bytedance/deer-flow, 83k stars), Nature Paper Card (Yuan1z0825/nature-skills, 46k stars) and Read arXiv Paper (karpathy/nanochat, 58k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Entropy?

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.