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  2. Spark (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Spark_(mathematics)

    Equivalently, the spark of a matrix is the size of its smallest circuit (a subset of column indices such that = has a nonzero solution, but every subset of it does not [1]). If all the columns are linearly independent, s p a r k ( A ) {\displaystyle \mathrm {spark} (A)} is usually defined to be m + 1 {\displaystyle m+1} (if A {\displaystyle A ...

  3. pandas (software) - Wikipedia

    en.wikipedia.org/wiki/Pandas_(software)

    Pandas (styled as pandas) is a software library written for the Python programming language for data manipulation and analysis. In particular, it offers data structures and operations for manipulating numerical tables and time series. It is free software released under the three-clause BSD license. [2]

  4. Cardinality (data modeling) - Wikipedia

    en.wikipedia.org/wiki/Cardinality_(data_modeling)

    In this example, the three lines next to the song entity indicate that an artist can have many songs. The two vertical lines next to the artist entity indicate songs can only have one performer. In the real world, data modeling is critical because as the data grows voluminous, tables linked by keys must be used to speed up programmed retrieval ...

  5. Data orientation - Wikipedia

    en.wikipedia.org/wiki/Data_orientation

    For example, a table of 128 rows with a Boolean column requires 128 bytes a row-oriented format (one byte per Boolean) but 128 bits (16 bytes) in a column-oriented format (via a bitmap). Another example is the use of run-length encoding to encode a column.

  6. Summed-area table - Wikipedia

    en.wikipedia.org/wiki/Summed-area_table

    Using a summed-area table (2.) of a 6×6 matrix (1.) to sum up a subrectangle of its values; each coloured spot highlights the sum inside the rectangle of that colour. A summed-area table is a data structure and algorithm for quickly and efficiently generating

  7. Determining the number of clusters in a data set - Wikipedia

    en.wikipedia.org/wiki/Determining_the_number_of...

    The average silhouette of the data is another useful criterion for assessing the natural number of clusters. The silhouette of a data instance is a measure of how closely it is matched to data within its cluster and how loosely it is matched to data of the neighboring cluster, i.e., the cluster whose average distance from the datum is lowest. [8]

  8. How to watch tonight's ‘CMA Country Christmas’ special - AOL

    www.aol.com/watch-tonights-cma-country-christmas...

    Here’s the official song list for the ‘CMA Country Christmas’ special. The Country Music Association released a full song list for the hourlong special.

  9. Apache Spark - Wikipedia

    en.wikipedia.org/wiki/Apache_Spark

    The Dataframe API was released as an abstraction on top of the RDD, followed by the Dataset API. In Spark 1.x, the RDD was the primary application programming interface (API), but as of Spark 2.x use of the Dataset API is encouraged [3] even though the RDD API is not deprecated. [4] [5] The RDD technology still underlies the Dataset API. [6] [7]