Guides
In-depth articles that explain the concepts behind the tools. Real math, real examples, and practical advice you can actually use.
17 articles published.
What Makes a Password Strong (It's Not What You Think)
Why password complexity rules miss the point, how attackers actually crack passwords, and what the math says about length versus special characters.
What BPM Means for Musicians (and Why Tempo Isn't Just a Number)
A musician's guide to beats per minute: what BPM ranges mean in practice, how tempo interacts with time signature and feel, and why the same BPM can sound fast or slow.
The Pomodoro Technique: What the Research Actually Shows
A look at what studies say about timed work intervals, why 25 minutes became the default, and how to adapt the technique when the standard format doesn't fit your work.
TDEE, Explained: Why Two Calorie Calculators Never Give You the Same Number
A clear explanation of BMR and TDEE, the major estimation formulas, why activity multipliers cause the biggest discrepancies, and how to actually use these numbers.
Open Graph Tags: Why Your Links Look Ugly When Shared
What Open Graph meta tags are, why missing or broken tags make your links look bare on social media, and how to set them up so your pages look good when shared.
The Real Science (and Myths) Behind 90-Minute Sleep Cycles
An evidence-based look at how sleep cycles actually work, why 90 minutes is an average and not a rule, and practical tips for timing your sleep.
JPEG vs PNG vs WebP: When to Use Which Image Format
A practical guide to choosing the right image format for the web: how each format compresses images differently, when transparency matters, and why file size affects more than load time.
JWT vs. Session Tokens: What's Actually in a JWT, and What Isn't
A clear breakdown of JWT structure, how it compares to server-side sessions, and the real tradeoffs between stateless and stateful authentication.
The Surprising Math Behind Dice Probability
How to calculate dice probabilities for tabletop RPGs, why 2d6 and 1d12 produce very different results despite the same range, and what probability distributions mean at the table.
WCAG Contrast Ratios: What AA and AAA Actually Require
A practical guide to WCAG contrast ratio requirements, including AA and AAA thresholds, real color examples, and common mistakes designers make.
Mean, Median, and Mode: When Each One Lies to You
A practical guide to descriptive statistics: what mean, median, and mode actually measure, when each gives a misleading picture, and which one to use for common real-world questions.
What Freelancers Get Wrong About Their Hourly Rate
A breakdown of the hidden costs freelancers overlook when setting rates, with a worked example showing why a $70K salary equivalent requires $55-65/hr.
Readability Scores: What Flesch-Kincaid and Grade Level Actually Mean
A guide to how readability formulas work, what the scores measure, why a lower grade level is usually better for web writing, and where the formulas break down.
Avalanche vs. Snowball: Which Debt Payoff Strategy Actually Fits You
A side-by-side comparison of the avalanche and snowball debt payoff methods, with a concrete three-debt example showing the real dollar difference.
Marginal vs. Effective Tax Rate, Explained With Real Numbers
A clear walkthrough of how US progressive tax brackets actually work, with a $75,000 income example that busts the most common tax myth.
What Your Internet Speed Test Is Actually Measuring
A plain-language explanation of download speed, upload speed, latency, and jitter: what these numbers mean, why they vary, and when each one matters.
How Amortization Actually Works (and Why Extra Payments Save So Much)
A plain-English explanation of how loan amortization schedules work, with a worked example showing why extra payments can save tens of thousands of dollars.