Guides & How-tos · Worked examples · Real numbers

Do it right, with real numbers

Step-by-step how-tos, head-to-head comparisons and honest roundups — every guide worked through with current figures, then backed by a RECATOOLS calculator or AI-directory entry so you can act on it.

299 guides published 17 topic areas Latest guide Sep 2026

All 299 AI & ML 60 Developer Tools 48 Finance 33 Chinese Culture 29 Cybersecurity 26 Science 16

A close-up of a brushed steel combination dial set into a pale safe door, its numbered ring running from zero to ninety around a knurled centre knob.

Cybersecurity 6 min

What Shor's Algorithm Actually Breaks

Shor's method is ordinary arithmetic with one quantum step inside it. We ran the classical part exhaustively over sixtee...

Kenji Tanaka

Pub. 18 Aug

A magnifying glass resting on a clipboard of printed pages on a pale wooden desk, beside a phone, two pens, a laptop edge and a cup of coffee.

Science 7 min

How Much Faster Is Quantum Search, Actually?

We ran Grover's algorithm and counted the oracle calls. Over 4,096 items it looked 50 times against a classical average...

Kenji Tanaka

Pub. 18 Aug

A pyramid of old dice stacked five rows deep against a dark green background, each row showing a different pip count from six at the base up to a single worn blue die at the top.

Science 6 min

What Is a Qubit, Really?

A qubit is not a bit that is both values at once. We built a simulator and measured what actually separates one from a c...

Nadia Rahim

Pub. 18 Aug

An open wooden card-index drawer pulled out of a cabinet, filled with upright paper cards behind numbered tab dividers reading 166, 167, 168 and 169.

AI & ML 7 min

What a Tool Listing Cannot Tell You About AI Risk

We set the ten OWASP LLM risk categories against what our directory of 1,366 AI tools actually records. Four have a fiel...

Priya Nair

Pub. 16 Aug

Two colleagues in dark jackets at an office desk, one standing and pointing into an open notebook while the other, seated at a laptop, looks at the same page.

Personality 7 min

What a DISC Profile Is Actually Shaped Like

Across all 83,521 possible results from our DISC test, the top two traits are within a point in 31%. Because ties break...

Amelia Wong

Pub. 16 Aug

Red, yellow and green network patch cables plugged into the lit ports of a rack-mounted switch, with more cabling running out of focus behind it.

Cybersecurity 7 min

How Big Are Post-Quantum Encryption Keys?

We measured two live handshakes to our own site. Hybrid post-quantum key exchange adds 1,178 bytes to the ClientHello —...

Kenji Tanaka

Pub. 16 Aug

A well-used orange and grey electric cement mixer standing on a building site, its drum crusted with dried mortar, beside scaffolding poles and a plastic bucket.

Home & Living 7 min

How Many Bags of Concrete Do You Actually Need?

Ask this site and you get 80 or you get 7. Both are right: one tool counts bags of ready-mixed concrete, the other count...

Eva Chin

Pub. 16 Aug

A hand holding a red pencil fills in one of the small oval bubbles on a printed multiple-choice answer sheet lying on a pale wooden desk.

Personality 7 min

How Stable Is Your Holland Code?

A career test hands you three letters. Across all 24,137,569 possible score sheets from our own test, the third one is d...

Amelia Wong

Pub. 16 Aug

A desk calendar standing on a pale surface, shot from a low angle. Its wire spiral binding runs along the top edge and the month name FEVEREIRO — February in Portuguese — is printed vertically down the left side in white on grey. The date grid beside it is faint and almost empty.

Consumer Tech 9 min

What Is One Month After 31 January?

28 February or 3 March — both are in daily use, and your date calculator probably will not tell you which one it picked....

Amelia Wong

Pub. 16 Aug

A pocket calculator and a pen resting on printed financial statements marked with pink, orange and yellow highlighter, with paper clips scattered beside them and a handwritten note circled on the page.

Finance 7 min

What Our Payslip Tool Will Not Tell You

Our payslip decoder describes 39 lines across Singapore, Malaysia and Indonesia and declines to give you a figure in 6 o...

Daniel Koh

Pub. 15 Aug

A white cup of cappuccino dusted with chocolate sits on a saucer on a round metal tray, a spoon and a small biscuit beside it, with a person's folded arms resting on the wooden table behind, out of focus.

Science 7 min

What Actually Decides When Caffeine Wears Off

Coffee at four, still awake at midnight? The usual answer is that a substance is gone after ten half-lives — a tidy numb...

Nadia Rahim

Pub. 15 Aug

Laser-cut wooden tiles engraved with element symbols and numbers lie scattered across a pale table, with a few already slotted into the empty squares of a wooden periodic-table grid at the right.

Science 6 min

Why Isn't the Periodic Table Sorted by Weight?

The periodic table is not ordered by weight. Walk our own 118-element data from hydrogen to oganesson and the weight fal...

Nadia Rahim

Pub. 15 Aug

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