SpecWhale guides

Plain-English explanations of the methods behind the calculators -- what the numbers mean, where they break down, and which tool to use for the job.

Guides

How the methods work, where to apply them, and when they break down.

How loan amortization actually works

Why your first loan payment is mostly interest, how the split shifts over time, and how to use that to pay less interest overall.

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BMI: what it measures, and what it misses

BMI is a population-screening ratio, not a diagnosis. Here's what the number actually represents and where it tends to mislead.

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A practical guide to subnetting and CIDR

What a /24 actually means, how to find your usable host range fast, and the two host counts everyone forgets to subtract.

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Margin vs. markup: the mix-up that costs businesses money

A 50% markup and a 50% margin are not the same number. Here's the difference, and why it matters when you're pricing a product.

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JSON vs. CSV: when to use which format

Both are plain text and both move data between systems. The right choice depends on whether your data is a table or a tree.

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Why public holiday dates differ by country

Some holidays move every year, some are regional even within one country, and a few countries swap official observance days entirely.

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Body fat percentage: which method should you trust?

BMI, the Navy tape method, and skinfold calipers all estimate body fat differently -- and disagree with each other more than most people expect.

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What actually makes a password strong

Length beats complexity rules almost every time. Here's why entropy, not special characters, is the number that matters.

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Regex basics: anchors, quantifiers, and common mistakes

Most regex bugs come from four things: greedy quantifiers, missing anchors, unescaped special characters, and forgetting a pattern matches anywhere by default.

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Aspect ratio math for photo and video, without the guesswork

Why cropping to a new aspect ratio always costs you either width, height, or resolution -- and how to figure out which before you shoot or export.

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Income tax vs. sales tax vs. effective tax rate

Your tax bracket is not your tax rate. Here's what each of these three numbers actually measures.

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Heart rate training zones: which formula should you actually use?

The 220-minus-age formula is the one everyone knows and the one exercise scientists trust least. Here's what the alternatives fix.

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Why some unit conversions are exact, others aren't

An inch is exactly 2.54 cm by definition. A cup of flour in grams depends on how you scoop it. That difference matters more than it sounds.

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Hex, RGB, and color contrast: the math behind accessible color choices

WCAG contrast ratios aren't a subjective 'looks readable' judgment -- they're a calculated ratio with a specific formula and specific pass/fail thresholds.

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VAT vs. sales tax: what's actually different

Both add a percentage at purchase, but VAT is collected in stages throughout the supply chain while sales tax is collected once, at the final sale.

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VO2 max and running pace: what the numbers actually mean

VO2 max measures how much oxygen your body can use during exercise. Pace measures how fast you cover distance. They're related, but not the same thing.

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HTTP status codes: the ones that actually matter day-to-day

There are over 60 official HTTP status codes. In practice, a handful cover almost everything you'll actually debug.

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Why a 1 TB drive shows up as 931 GB

Storage manufacturers use decimal gigabytes. Operating systems display binary gibibytes. Both numbers are correct -- they're just measuring with different rulers.

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Business days vs. calendar days

"Ships in 5 days" usually means business days. "Due in 5 days" usually means calendar days. Mixing them up is a common source of missed deadlines.

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JSON, CSV, and Base64: picking the right format for the job

These three formats solve different problems -- structure, tabular simplicity, and safe transport -- and picking the wrong one is a common source of avoidable headaches.

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