npx skills add parcadei/Continuous-Claude-v3 --skill entropy --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# 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(2*pi*e*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')" ``` #
- When to Use
- Decision Tree
- Tool Commands
- ScipyEntropy
- ScipyKlDiv
- SympyEntropy
- Key Techniques
- Cognitive Tools Reference
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')"
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)"
uv run python -m runtime.harness scripts/sympy_compute.py simplify "-p*log(p, 2) - (1-p)*log(1-p, 2)"What does the entropy skill do?
Problem-solving strategies for entropy in information theory
How do I install it?
Run `npx skills add parcadei/Continuous-Claude-v3 --skill entropy --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From parcadei/Continuous-Claude-v3, a repository with 3,879 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.