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8½ (Italian: Otto e mezzo) is a 1963 comedy drama film co-written and directed by Federico Fellini. The metafictional narrative centers on Guido Anselmi (Marcello Mastroianni), a famous Italian film director who suffers from stifled creativity as he attempts to direct an epic science fiction film. Claudia Cardinale, Anouk Aimée, Sandra Milo ...
[citation needed] The algorithms described below all involve about (1/3)n 3 FLOPs (n 3 /6 multiplications and the same number of additions) for real flavors and (4/3)n 3 FLOPs for complex flavors, [16] where n is the size of the matrix A. Hence, they have half the cost of the LU decomposition, which uses 2n 3 /3 FLOPs (see Trefethen and Bau 1997).
The rank of the second quartile (same as the median) is 10×(2/4) = 5, which is an integer, while the number of values (10) is an even number, so the average of both the fifth and sixth values is taken—that is (8+10)/2 = 9, though any value from 8 through to 10 could be taken to be the median.
Heun's method. In mathematics and computational science, Heun's method may refer to the improved[1] or modified Euler's method (that is, the explicit trapezoidal rule[2]), or a similar two-stage Runge–Kutta method. It is named after Karl Heun and is a numerical procedure for solving ordinary differential equations (ODEs) with a given initial ...
The union of the tree and the matching is a cycle, with no possible shortcuts, and with weight approximately 3n/2. However, the optimal solution uses the edges of weight 1 + ε together with two weight-1 edges incident to the endpoints of the path, and has total weight (1 + ε)(n − 2) + 2, close to n for small values of ε. Hence we obtain an ...
In numerical analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences. Both the spatial domain and time domain (if applicable) are discretized, or broken into a finite number of intervals, and the values of the solution at the end points ...
In graph theory, a clustering coefficient is a measure of the degree to which nodes in a graph tend to cluster together. Evidence suggests that in most real-world networks, and in particular social networks, nodes tend to create tightly knit groups characterised by a relatively high density of ties; this likelihood tends to be greater than the average probability of a tie randomly established ...
Fermi problem. A Fermi problem (or Fermi quiz, Fermi question, Fermi estimate), also known as a order-of-magnitude problem (or order-of-magnitude estimate, order estimation), is an estimation problem in physics or engineering education, designed to teach dimensional analysis or approximation of extreme scientific calculations.