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  2. Zero-based numbering - Wikipedia

    en.wikipedia.org/wiki/Zero-based_numbering

    The indexing expression for a 1-based index would then be a ′ + s × i . {\displaystyle a'+s\times i.} Hence, the efficiency benefit at run time of zero-based indexing is not inherent, but is an artifact of the decision to represent an array with the address of its first element rather than the address of the fictitious zeroth element.

  3. Comparison of programming languages (array) - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_programming...

    first – the index of the first element in the slice; last – the index of the last element in the slice; end – one more than the index of last element in the slice; len – the length of the slice (= end - first) step – the number of array elements in each (default 1)

  4. MATLAB - Wikipedia

    en.wikipedia.org/wiki/MATLAB

    MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages. Although MATLAB is intended primarily for numeric computing, an optional toolbox uses the MuPAD symbolic engine allowing access to symbolic computing abilities.

  5. Raising and lowering indices - Wikipedia

    en.wikipedia.org/wiki/Raising_and_lowering_indices

    For a (0,2) tensor, [1] twice contracting with the inverse metric tensor and contracting in different indices raises each index: =. Similarly, twice contracting with the metric tensor and contracting in different indices lowers each index:

  6. Array slicing - Wikipedia

    en.wikipedia.org/wiki/Array_slicing

    Thus, if we have a vector containing elements (2, 5, 7, 3, 8, 6, 4, 1), and we want to create an array slice from the 3rd to the 6th items, we get (7, 3, 8, 6). In programming languages that use a 0-based indexing scheme, the slice would be from index 2 to 5. Reducing the range of any index to a single value effectively eliminates that index.

  7. Index notation - Wikipedia

    en.wikipedia.org/wiki/Index_notation

    A vector treated as an array of numbers by writing as a row vector or column vector (whichever is used depends on convenience or context): = (), = Index notation allows indication of the elements of the array by simply writing a i, where the index i is known to run from 1 to n, because of n-dimensions. [1]

  8. Davies–Bouldin index - Wikipedia

    en.wikipedia.org/wiki/Davies–Bouldin_index

    The Davies–Bouldin index (DBI), introduced by David L. Davies and Donald W. Bouldin in 1979, is a metric for evaluating clustering algorithms. [1] This is an internal evaluation scheme, where the validation of how well the clustering has been done is made using quantities and features inherent to the dataset.

  9. Cycle detection - Wikipedia

    en.wikipedia.org/wiki/Cycle_detection

    Practical cycle-detection algorithms do not find λ and μ exactly. [1] They usually find lower and upper bounds μ l ≤ μ ≤ μ h for the start of the cycle, and a more detailed search of the range must be performed if the exact value of μ is needed. Also, most algorithms do not guarantee to find λ directly, but may find some multiple kλ ...