Highlight the formula plus the sentence immediately before/after it
Authors usually define what $N$, $\theta$, or $\mathcal{L}$ represent in the prose right above or below the equation. Selecting both ensures accurate symbol definitions.
How to decode dense math formulas and theorem proofs on any webpage.
Highlight equations, theorem proofs, or statistical formulas on Wikipedia, arXiv, or lecture notes and get a symbol-by-symbol breakdown and intuitive example.
Best fit
Best for ML engineers, students, and researchers reading mathematical definitions on Wikipedia, arXiv HTML, and online textbooks.
On-screen walkthrough
How this looks on a real webpage.
Instead of switching tabs and rebuilding context, highlight the exact passage that slowed you down and press your shortcut (default: Ctrl+Shift+X or Cmd+Shift+X on macOS, fully customizable in settings).
1. Highlighted on page (Machine Learning Notes — Kullback–Leibler (KL) Divergence Definition)
For discrete probability distributions P and Q defined on the same sample space X, the relative entropy (or KL divergence) from Q to P is defined as D_KL(P || Q) = \sum_{x \in X} P(x) \log (P(x) / Q(x)). Note that D_KL(P || Q) \neq D_KL(Q || P).
Ctrl+Shift+X“Explain each symbol in plain English and show why it is asymmetric with a 2-outcome coin example.”
2. Vezz me on-screen answer overlay
1. **Symbol Glossary**: $P(x)$ is the true distribution; $Q(x)$ is your model's approximation; $\log(P(x)/Q(x))$ measures surprise gap; $\sum P(x)[...]$ weights that gap by how often $x$ truly occurs.
2. **Why it is asymmetric (Coin Example)**: If a biased coin has $P(\text{Heads})=0.99, P(\text{Tails})=0.01$ and your model guesses $50/50$, Forward KL $D_{KL}(P\parallel Q)$ weights Tails by only $0.01$, whereas Reverse KL $D_{KL}(Q\parallel P)$ weights Tails by $0.50 \times \log(0.50/0.01)$, heavily penalizing any outcome where $P(x) \approx 0$.
3. Suggested follow-up questions in thread
- “Write a 5-line Python/NumPy function computing this formula.”
- “Why does Jensen's inequality guarantee that KL divergence is always >= 0?”
Step-by-step workflow
How to run this workflow in place.
Ask for a symbol glossary + physical/intuitive meaning
Press Ctrl+Shift+X and ask what each term in the numerator and denominator pushes the result toward when it gets large or small.
Ask for the missing intermediate step in a proof
When stuck on 'it trivially follows that...', highlight Line A and Line B and ask which identity, inequality, or substitution bridges them.
Key details
Why this approach works better than switching tabs.
Comparison Matrix
Understanding Math & ML Formulas Online
Comparing contextual in-page explanation with CAS calculators and Wikipedia hopping.
| Method | Strengths | Tradeoffs |
|---|---|---|
| Vezz me on Equation + Surrounding Text | Context-aware symbol glossaries, skipped proof steps, and NumPy code equivalents | Best for conceptual and structural understanding rather than 50-digit symbolic integration |
| Computer Algebra System (WolframAlpha) | Exact symbolic integration and plotting closed-form functions | Does not know what domain-specific symbols in your paper represent |
| Opening 10 Wikipedia tabs for every term | Deep historical background on a theorem | Every Wikipedia math page uses different notation, causing deeper rabbit holes |
Frequently asked questions
Common questions about stem & quantitative reading.
Can Vezz me translate a math formula into Python or NumPy code?
Yes! Highlight the equation, press Ctrl+Shift+X, and ask: 'Write this equation as a clean, commented Python/NumPy function with a small test array' (or use our Math Notation Translator preset).
Does it work on MathJax and KaTeX equations on Wikipedia and arXiv?
Yes. Highlighting the equation along with its surrounding text captures the underlying mathematical tokens or LaTeX source.
Is there a preset built specifically for math notation?
Yes—check out the Math Notation Translator preset in our Prompt Library.
Related workflows & guides
Explore connected pages.
Ready to try this workflow on your own reading?
Install Vezz me free, highlight text on any webpage, and press your customizable shortcut (default: Ctrl+Shift+X or Cmd+Shift+X on Mac) to get an answer right beside the source.
