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Eigen is a high-level C++ library of template headers for linear algebra, matrix and vector operations, geometrical transformations, numerical solvers and related algorithms. . Eigen is open-source software licensed under the Mozilla Public License 2.0 since version 3.1
The following containers are defined in the current revision of the C++ standard: array, vector, list, forward_list, deque. Each of these containers implements different algorithms for data storage, which means that they have different speed guarantees for different operations: [ 1 ]
Slow lookup and access (linear time), but once a position has been found, quick insertion and deletion (constant time). It has slightly more efficient insertion and deletion, and uses less memory than a doubly linked list, but can only be iterated forwards. It is implemented in the C++ standard library as forward_list. deque (double-ended queue)
In geometry and algebra, the triple product is a product of three 3-dimensional vectors, usually Euclidean vectors.The name "triple product" is used for two different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product.
Any eigenvector for T spans a 1-dimensional invariant subspace, and vice-versa. In particular, a nonzero invariant vector (i.e. a fixed point of T) spans an invariant subspace of dimension 1. As a consequence of the fundamental theorem of algebra, every linear operator on a nonzero finite-dimensional complex vector space has an eigenvector ...
Specifically, if V is in the fiber p −1 (x), then the fiber of S over V is V itself; thus, S has rank r = d = dim(V) and is the determinant line bundle. Now, by the universal property of a projective bundle, the injection ∧ r S → p ∗ ( ∧ r E ) {\displaystyle \wedge ^{r}S\to p^{*}(\wedge ^{r}E)} corresponds to the morphism over X :
In C++11, a move constructor of std::vector<T> that takes an rvalue reference to an std::vector<T> can copy the pointer to the internal C-style array out of the rvalue into the new std::vector<T>, then set the pointer inside the rvalue to null. Since the temporary will never again be used, no code will try to access the null pointer, and ...
Roddenberry fought to keep the character in the second pilot, "Where No Man Has Gone Before" after the rest of the main cast was dropped from the initial pilot, "The Cage". Soon after the series began broadcasting, "Spockmania" began. Both NBC and individual studios demanded a more prominent role for the character due to the fan response.