Any of a set of orthogonal functions used in solid-state physics; they are the localized molecular orbitals of crystalline systems.
The Wannier functions (WF)^(35,36) are the most localized orbitals within the valence-band and conduction-band subspaces. Hence we will use WF as ϕₗ in Eqs (1) and (2).
Format and beautify Java, Python, JavaScript, JSON, HTML and more; adjust indentation, spacing and line breaks.
Trim, join or split recordings, remove silence or noise, and adjust volume, speed, pitch or channels.
Open and edit CSV or Excel sheets, format tabular text, and convert CSV to Excel or SQL.
Write and preview Markdown, render Mermaid diagrams, and convert Markdown, HTML and tables between formats.
Compare passages, count words and keywords, sort or replace lines, and view DOCX text.
Look up Chinese meanings, synonyms and antonyms, or find IPA pronunciations in multiple languages.
Convert between MP3, WAV, FLAC and more, play audio or raw PCM, and inspect or edit audio metadata.
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