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Browse the tool catalog | Page 92

Search and filter the online tool directory by task, format, and category, then open detailed pages with clear inputs, examples, and execution context. Page 92.

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UI Screenshot Structure Review and Development Handoff
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Science & Education

Numerical Aperture Calculator

NA = n·sinα with the full acceptance cone and Abbe limit λ/(2·NA) — dry versus oil-immersion microscopy.

Science & Education

Quantum Harmonic Oscillator Energy Levels

E_n = (n + ½)ℏω from k + m, ω, or f: zero-point energy ½ℏω, equal spacing ħω, adjacent-transition photon wavelength, classical turning points, optional level ladder.

Science & Education

Rapidity Calculator

φ = artanh(β) with γ = cosh φ, γβ = sinh φ, the e^φ Doppler factor, and the tanh(2φ) additivity check — where boosts just add.

Science & Education

Relativistic Doppler Effect Calculator

Longitudinal Doppler: redshift 1+z = √((1+β)/(1−β)) for receding sources, blueshift for approaching ones, with observed frequency, wavelength, and band labels.

Utilities

Link-as-Document Share URL Generator

Pack an entire document into a single shareable URL — no account, no server, the link IS the document. Optional AES-256 password encryption, five templates, and the recipient just opens the link to read it.

Math & Numbers

Normal Distribution Plotter

Plot a normal-distribution bell curve as SVG with z-score markers, interval or tail-probability shading, and 68/95/99.7 standard-deviation bands.

Text Processing

Smart Quote Wrapper

Wrap whole text, lines, or sentences with typographic quotes, nested quote pairs, and language-aware punctuation.

Network

NB-IoT LTE-M Cat-M1 CoAP LwM2M Cellular IoT Packet Analyzer

Decode hex captures from cellular IoT devices: CoAP headers/options (block-wise, Observe), LwM2M TLV object trees with registry names, SMS-DELIVER UDH port addressing unwrapping CoAP-over-SMS, link-format registrations and DTLS record summaries.

Development

OAuth 2.0 / OIDC Authorization Code with PKCE Flow Visualizer

Simulate the Authorization Code flow with PKCE end to end: verifier/challenge generation, authorization URL, token exchange, ID Token validation checklist and an interception-attack demo.

Math & Numbers

Perfect Number Checker

σ(n) = 2n ⟺ perfect. Factorization-based σ(n), proper-divisor sum, deficient/perfect/abundant classification, abundancy index, Euclid–Euler form. n ≤ 10¹².

Math & Numbers

Primitive Root Finder

Smallest primitive root mod n with certificate g^(φ/q) ≠ 1, root count φ(φ(n)), up to 50 listed roots, and candidate verification. n ≤ 10¹².

Math & Numbers

Prime Counting Function π(n) Calculator

Exact π(n) via a single-pass Sieve of Eratosthenes (n ≤ 10⁷) with n/ln n comparison, density, average gap, and the largest prime ≤ n.