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In mathematics, the capacity of a set in Euclidean space is a measure of the "size" of that set. Unlike, say, Lebesgue measure , which measures a set's volume or physical extent, capacity is a mathematical analogue of a set's ability to hold electrical charge .
11,520,000 bits – capacity of a lower-resolution computer monitor (as of 2006), 800 × 600 pixels, 24 bpp: 11,796,480 bits – capacity of a 3.5 in floppy disk, colloquially known as 1.44 megabyte but actually 1.44 × 1000 × 1024 bytes 2 24: 16,777,216 bits (2 mebibytes) 25,000,000 bits – amount of data in a typical color slide
Using a statistical description for data, information theory quantifies the number of bits needed to describe the data, which is the information entropy of the source. Data compression (source coding): There are two formulations for the compression problem: lossless data compression: the data must be reconstructed exactly;
A unit of information is any unit of measure of digital data size. In digital computing, a unit of information is used to describe the capacity of a digital data storage device. In telecommunications, a unit of information is used to describe the throughput of a communication channel.
This is known as the Rajski Distance. [12] In a set ... are limited to be in a discrete number of states, observation data is ... the channel capacity is ...
The minimum channel capacity can be realized in theory by using the typical set or in practice using Huffman, Lempel–Ziv or arithmetic coding. (See also Kolmogorov complexity .) In practice, compression algorithms deliberately include some judicious redundancy in the form of checksums to protect against errors.
A binary classification model with some parameter vector is said to shatter a set of generally positioned data points (,, …,) if, for every assignment of labels to those points, there exists a such that the model makes no errors when evaluating that set of data points [citation needed].
Capacity of a set, in Euclidean space, the total charge a set can hold while maintaining a given potential energy; Capacity factor, the ratio of the actual output of a power plant to its theoretical potential output; Storage capacity (energy), the amount of energy that the storage system of a power plant can hold