AW

learning from data with humnans

Test & Feature Showcase: All Systems Operational

This is a comprehensive test post created to verify that all editorial features, data visualizations, mathematical typography, interactive widgets, and integrations work seamlessly after porting the site to Hugo.

Feature Verification Checklist

  • KaTeX Mathematical Typesetting (inline & display equations, matrices, Greek symbols)
  • D3.js Data Visualizations (dynamic SVG generation, animations, tooltips)
  • X / Twitter Embeds (Hugo shortcode & native blockquotes)
  • Code Highlighting & Fences (Python, JavaScript, Shell, SQL with line numbering)
  • Collapsible Details Blocks (<details> & <summary>)
  • Footnotes (single, multi-paragraph, with code references)
  • Markdown Tables (formatted with text & numeric alignments)
  • Blockquotes & Citations
  • Media & Images (cover image, inline responsive figures with captions)
  • Static Asset Links (CSV / data file downloads)
  • Taxonomies & Meta (tags, categories, date, reading time)
  • Post Navigation & Disqus Comments

1. Mathematical Typesetting (KaTeX)

Mathematical equations are rendered client-side using KaTeX with math = true enabled in the front matter.

Inline Formulas

We can express the standard sigmoid activation function as $\sigma(z) = \frac{1}{1 + e^{-z}}$, the Gaussian density with mean $\mu$ and variance $\sigma^2$ as $\mathcal{N}(x \mid \mu, \sigma^2)$, and algorithmic time complexity such as $\mathcal{O}(N \log N)$.

Block Display Equations

The normal distribution integral (Euler-Poisson integral):

$$\int_{-\infty}^{\infty} e^{-x^2} \, dx = \sqrt{\pi}$$

The Mean Squared Error (MSE) loss with $L_2$ regularization:

$$\mathcal{L}_{\text{total}}(\mathbf{w}) = \frac{1}{N} \sum_{i=1}^{N} \left( y_i - \mathbf{w}^T \mathbf{x}_i \right)^2 + \lambda \|\mathbf{w}\|_2^2$$

Covariance Matrix formulation:

$$\mathbf{\Sigma} = \begin{pmatrix} \operatorname{Var}(X_1) & \operatorname{Cov}(X_1, X_2) \\ \operatorname{Cov}(X_2, X_1) & \operatorname{Var}(X_2) \end{pmatrix} = \begin{pmatrix} \sigma_1^2 & \rho \sigma_1 \sigma_2 \\ \rho \sigma_1 \sigma_2 & \sigma_2^2 \end{pmatrix}$$

2. Interactive Plots & Visualizations (D3.js)

With d3 = true enabled, D3.js v7 is automatically injected into the page header, allowing direct SVG manipulation and reactive charts.

Here is a live, interactive bar chart rendered directly into the page:

📊 Daily Processing Throughput (Records / sec)

Hover over bars to inspect values.

3. X / Twitter Embeds

Twitter embeds can be included either with the custom {{< tweet user="..." id="..." >}} shortcode or using standard Twitter embed markup.

Embedded Tweet via Hugo Shortcode

Embedded Tweet via Standard Blockquote


4. Code Blocks & Syntax Highlighting

Code syntax highlighting uses the built-in Chroma highlighter styled with dark themes and line numbers.

Python

 1from dataclasses import dataclass
 2from typing import List, Optional
 3import pandas as pd
 4
 5@dataclass
 6class ExperimentResult:
 7    run_id: str
 8    loss: float
 9    accuracy: float
10    tags: List[str]
11    notes: Optional[str] = None
12
13def compute_summary(df: pd.DataFrame) -> pd.DataFrame:
14    """Calculates aggregate metrics across experiment runs."""
15    return (
16        df.groupby("category")
17        .agg(mean_loss=("loss", "mean"), max_acc=("accuracy", "max"))
18        .sort_values(by="max_acc", ascending=False)
19    )
20
21# Execution test
22print("Pipeline initialized successfully.")

Modern JavaScript

 1async function fetchMetrics(endpoint, options = {}) {
 2  try {
 3    const response = await fetch(endpoint, {
 4      headers: { "Content-Type": "application/json" },
 5      ...options
 6    });
 7    if (!response.ok) throw new Error(`HTTP Error ${response.status}`);
 8    return await response.json();
 9  } catch (err) {
10    console.error("Failed to retrieve metrics:", err.message);
11    return null;
12  }
13}

SQL & Shell

 1SELECT 
 2    user_id,
 3    COUNT(order_id) AS total_orders,
 4    SUM(amount_eur) AS revenue,
 5    AVG(duration_mins) AS avg_session
 6FROM analytics.user_sessions
 7WHERE created_at >= '2026-01-01'
 8GROUP BY 1
 9HAVING total_orders > 5
10ORDER BY revenue DESC
11LIMIT 100;
1# Build the Hugo site in production mode
2hugo --minify --gc
3
4# Start local development server with draft previews
5hugo server --buildDrafts --disableFastRender

5. Collapsible Sections (<details> & <summary>)

🔍 Click to expand detailed debugging output

Inside a collapsible block, standard Markdown elements continue to function smoothly:

1{
2  "status": "success",
3  "server": "hugo-0.165.0",
4  "theme": "hugo-bearblog",
5  "features_verified": ["math", "d3", "twitter", "code", "tables", "footnotes"]
6}

Math formulas also render inside collapsible blocks: $\sum_{i=1}^n i = \frac{n(n+1)}{2}$.


6. Footnotes

Footnotes are fully supported1 with back-references to jump effortlessly back and forth2. Even multi-paragraph footnotes containing formatted text and code blocks are handled cleanly3.


7. Data Tables

Feature AreaTechnologyStatusIntegration Mode
MathsKaTeX 0.18.4✅ Workingmath = true (CDN)
Plots & ChartsD3.js v7.9.0✅ Workingd3 = true (CDN)
Social EmbedsX / Twitter Widgets✅ Workingtwitter = true / shortcode
Code SyntaxChroma (github-dark)✅ WorkingHugo native markup
CommentsDisqus✅ WorkingdisqusShortname config
TaxonomiesTags & Categories✅ WorkingHugo taxonomies

8. Blockquotes & Formatting

“Simplicity is prerequisite for reliability.” — Edsger W. Dijkstra

Nested blockquotes are also properly indented and styled with muted border accents and clean typography.

Text styling checklist:

  • Bold text and italicized text
  • Strikethrough text
  • Inline code like numpy.ndarray and d3.scaleLinear()
  • External links such as Official Hugo Documentation

9. Images & Visual Assets

Inline Figure with Caption

Radar Chart Visualization Example
Figure 1: Sample multivariate radar chart visualization from the archive.

10. File Downloads & Static Asset Mounts



  1. This is the first verified footnote test. ↩︎

  2. Second footnote reference verifying bidirectional navigation back to source. ↩︎

  3. Multi-paragraph footnote:

    Here is a second paragraph within the footnote detailing execution context.

    console.log("Footnote code block test passed"); ↩︎