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Matplotlib (portmanteau of MATLAB, plot, and library [3]) is a plotting library for the Python programming language and its numerical mathematics extension NumPy.It provides an object-oriented API for embedding plots into applications using general-purpose GUI toolkits like Tkinter, wxPython, Qt, or GTK.
The four pixels making the primary boundary are examined to see what action should be taken. The painter could find themselves in one of several conditions: All four boundary pixels are filled. Three of the boundary pixels are filled. Two of the boundary pixels are filled. One boundary pixel is filled. Zero boundary pixels are filled.
Yet another approach to graph rewriting, known as determinate graph rewriting, came out of logic and database theory. [2] In this approach, graphs are treated as database instances, and rewriting operations as a mechanism for defining queries and views; therefore, all rewriting is required to yield unique results (up to isomorphism), and this is achieved by applying any rewriting rule ...
Spectral graph theory relates properties of a graph to a spectrum, i.e., eigenvalues and eigenvectors of matrices associated with the graph, such as its adjacency matrix or Laplacian matrix. Imbalanced weights may undesirably affect the matrix spectrum, leading to the need of normalization — a column/row scaling of the matrix entries ...
A number of systems have the concept of a "canonical NaN", where one specific NaN value is chosen to be the only possible qNaN generated by floating-point operations not having a NaN input. The value is usually chosen to be a quiet NaN with an all-zero payload and an arbitrarily-defined sign bit.
Tanner proved the following bounds Let be the rate of the resulting linear code, let the degree of the digit nodes be and the degree of the subcode nodes be .If each subcode node is associated with a linear code (n,k) with rate r = k/n, then the rate of the code is bounded by
In the context of the Aanderaa–Karp–Rosenberg conjecture on the query complexity of monotone graph properties, Gröger (1992) showed that any subgraph isomorphism problem has query complexity Ω(n 3/2); that is, solving the subgraph isomorphism requires an algorithm to check the presence or absence in the input of Ω(n 3/2) different edges ...
One such truncated normal generator (implemented in Matlab and in R (programming language) as trandn.R) is based on an acceptance rejection idea due to Marsaglia. [10] Despite the slightly suboptimal acceptance rate of Marsaglia (1964) in comparison with Robert (1995) , Marsaglia's method is typically faster, [ 9 ] because it does not require ...