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The "trick" that allows lossless compression algorithms, used on the type of data they were designed for, to consistently compress such files to a shorter form is that the files the algorithms are designed to act on all have some form of easily modeled redundancy that the algorithm is designed to remove, and thus belong to the subset of files ...
For example, in that model, a zip file's compressed size includes both the zip file and the unzipping software, since you can not unzip it without both, but there may be an even smaller combined form. Examples of AI-powered audio/video compression software include NVIDIA Maxine, AIVC. [24]
Excel graph of the difference between two evaluations of the smallest root of a quadratic: direct evaluation using the quadratic formula (accurate at smaller b) and an approximation for widely spaced roots (accurate for larger b). The difference reaches a minimum at the large dots, and round-off causes squiggles in the curves beyond this minimum.
Gnumeric has the ability to import and export data in several file formats, including CSV, Microsoft Excel (write support for the more recent .xlsx format is incomplete [5]), Microsoft Works spreadsheets (.wks), [6] HTML, LaTeX, Lotus 1-2-3, OpenDocument and Quattro Pro; its native format is the Gnumeric file format (.gnm or .gnumeric), an XML file compressed with gzip. [7]
An important caveat about lossy compression (formally transcoding), is that editing lossily compressed files causes digital generation loss from the re-encoding. This can be avoided by only producing lossy files from (lossless) originals and only editing (copies of) original files, such as images in raw image format instead of JPEG. If data ...
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The Microsoft xls file format which is the default file format used in versions prior to 2007 had a capacity limit of 65,536 rows by 256 columns (2 16 and 2 8 respectively). [71] This presents a problem for people using larger datasets, and can result in data loss.
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