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The relation between local and global truncation errors is slightly different from in the simpler setting of one-step methods. For linear multistep methods, an additional concept called zero-stability is needed to explain the relation between local and global truncation errors.
The 'Music' category is merely a guideline on commercialized uses of a particular format, not a technical assessment of its capabilities. For example, MP3 and AAC dominate the personal audio market in terms of market share, though many other formats are comparably well suited to fill this role from a purely technical standpoint.
Music examples are an obviously valuable and necessary addition to Wikipedia, often superior to text. These are both far more valuable and far more free than music samples being abstract categories applicable to multiple examples without any of the copyright or other law applicable to samples.
Many of the codecs listed implement media formats that are restricted by patents and are hence not open formats. For example, x264 is a widely used open source implementation of the heavily patent encumbered MPEG-4 AVC video compression standard.
Linear pulse-code modulation (LPCM, generally only described as PCM) is the format for uncompressed audio in media files and it is also the standard for CD-DA; note that in computers, LPCM is usually stored in container formats such as WAV, AIFF, or AU, or as raw audio format, although not technically necessary.
According to Apple, audio files compressed with its lossless codec will use up "about half the storage space" that the uncompressed data would require. Testers using a selection of music have found that compressed files are about 40% to 60% the size of the originals depending on the kind of music, which is similar to other lossless formats. [3] [4]