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A Jupyter Notebook document is a JSON file, following a versioned schema, usually ending with the ".ipynb" extension. The main parts of the Jupyter Notebooks are: Metadata, Notebook format and list of cells. Metadata is a data Dictionary of definitions to set up and display the notebook. Notebook Format is a version number of the software.
Both binaries and source code are available for SageMath from the download page. If SageMath is built from source code, many of the included libraries such as OpenBLAS, FLINT, GAP (computer algebra system), and NTL will be tuned and optimized for that computer, taking into account the number of processors, the size of their caches, whether there is hardware support for SSE instructions, etc.
The model is devised on the basis of active shape model, but uses centripetal Catmull-Rom spline to join two successive points (active shape model uses simple straight line), so that the total number of points necessary to depict a shape is less. The use of centripetal Catmull-Rom spline makes the training of a shape model much simpler, and it ...
In mathematical optimization, the problem of non-negative least squares (NNLS) is a type of constrained least squares problem where the coefficients are not allowed to become negative. That is, given a matrix A and a (column) vector of response variables y , the goal is to find [ 1 ]
The order of the natural numbers shown on the number line. A number line is a graphical representation of a straight line that serves as spatial representation of numbers, usually graduated like a ruler with a particular origin point representing the number zero and evenly spaced marks in either direction representing integers, imagined to extend infinitely.
The measure is the number of characters per line in a column of text. Using CSS to set the width of a box to 66ch fixes the measure to about 66 characters per line regardless of the text size as the ch unit is defined as the width of the glyph 0 (zero, the Unicode character U+0030) in the element's font. [10]
where is the number of vertices in . If a graph G has bandwidth k , then its pathwidth is at most k ( Kaplan & Shamir 1996 ), and its tree-depth is at most k log( n / k ) ( Gruber 2012 ). In contrast, as noted in the previous section, the star graph S k , a structurally very simple example of a tree , has comparatively large bandwidth.
Since the map is confined to an interval on the real number line, its dimension is less than or equal to unity. Numerical estimates yield a correlation dimension of 0.500 ± 0.005 ( Grassberger , 1983), a Hausdorff dimension of about 0.538 ( Grassberger 1981), and an information dimension of approximately 0.5170976 ( Grassberger 1983) for r ≈ ...