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  2. Spread (projective geometry) - Wikipedia

    en.wikipedia.org/wiki/Spread_(projective_geometry)

    A frequently studied problem in finite geometry is to identify ways in which an object can be covered by other simpler objects such as points, lines, and planes. In projective geometry, a specific instance of this problem that has numerous applications is determining whether, and how, a projective space can be covered by pairwise disjoint subspaces which have the same dimension; such a ...

  3. Spread (intuitionism) - Wikipedia

    en.wikipedia.org/wiki/Spread_(intuitionism)

    In modern terminology, a spread is an inhabited closed set of sequences. Spreads are defined via a spread function, which performs a "check" on finite sequences. If all the finite initial parts of an infinite sequence satisfy a spread function's "check", then we say that the infinite sequence is admissible to the spread. The notion of a spread ...

  4. Statistical dispersion - Wikipedia

    en.wikipedia.org/wiki/Statistical_dispersion

    In statistics, dispersion (also called variability, scatter, or spread) is the extent to which a distribution is stretched or squeezed. [1] Common examples of measures of statistical dispersion are the variance, standard deviation, and interquartile range. For instance, when the variance of data in a set is large, the data is widely scattered.

  5. Five-number summary - Wikipedia

    en.wikipedia.org/wiki/Five-number_summary

    The median of the first group is the lower or first quartile, and is equal to (0 + 1)/2 = 0.5. The median of the second group is the upper or third quartile, and is equal to (27 + 61)/2 = 44. The smallest and largest observations are 0 and 63. So the five-number summary would be 0, 0.5, 7.5, 44, 63.

  6. Mean-preserving spread - Wikipedia

    en.wikipedia.org/wiki/Mean-preserving_spread

    This example shows that to have a mean-preserving spread does not require that all or most of the probability mass move away from the mean. [2] Let A have equal probabilities / on each outcome , with = for =, …, and = for =, …,; and let B have equal probabilities / on each outcome , with =, = for =, …,, and =.

  7. Hilbert's fifth problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_fifth_problem

    Hilbert's fifth problem is the fifth mathematical problem from the problem list publicized in 1900 by mathematician David Hilbert, and concerns the characterization of Lie groups. The theory of Lie groups describes continuous symmetry in mathematics; its importance there and in theoretical physics (for example quark theory ) grew steadily in ...

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  9. Standard deviation - Wikipedia

    en.wikipedia.org/wiki/Standard_deviation

    Example of samples from two populations with the same mean but different standard deviations. Red population has mean 100 and SD 10; blue population has mean 100 and SD 50. A large standard deviation indicates that the data points can spread far from the mean and a small standard deviation indicates that they are clustered closely around the mean.

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