euclidean metric sentence in Hindi
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- Thus, rather than speaking of a concrete Euclidean metric, one may use sets to describe points close to " x ".
- In the applications of mathematics, there are often situations where an affine plane without the Euclidean metric is used instead of the Euclidean plane.
- In fact, a " metric " is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance.
- In fact, the notion of " metric " is a generalization of the Euclidean metric arising from the four long known properties of the Euclidean distance.
- For instance, the Euclidean metric measures the distance between points in the Euclidean plane, while the hyperbolic metric measures the distance in the hyperbolic plane.
- Operators preserving the Euclidean metric on such a space form the isometry group, and those that fix the origin form a subgroup known as the orthogonal group.
- Equivalently, the Fubini Study metric can be understood as the metric on complex projective Hilbert space that is induced by the complex extension of the flat Euclidean metric.
- In the case of the Euclidean metric for " k " = 1, it is known as the smallest enclosing sphere problem or 1-center problem.
- Here Hausdorff dimension is relative to the Euclidean metric on "'R " "'n " ( or any metric Lipschitz equivalent to it ).
- In finite dimensional spaces, all metrics induced by the p-norm, including the euclidean metric, the taxicab metric, and the Chebyshev distance, are strongly equivalent.
- Curiously, the Fisher information metric can also be understood as the flat-space Euclidean metric, after appropriate change of variables, as described in the main article on it.
- A basis gives such a form ( via the dual basis ), hence when working on with a Euclidean metric and a fixed orthonormal basis, one can work with only subscripts.
- The Euclidean metric ( Principal Component Analysis ), the Chi-Square distance ( Correspondence Analysis ) or the Generalized Mahalanobis distance ( Discriminant Analysis ) are among the more widely used.
- A complex structure gives rise to a conformal structure by choosing the standard Euclidean metric given on the complex plane and transporting it to " X " by means of the charts.
- That is, the Fisher information metric on a statistical manifold is simply ( four times ) the Euclidean metric restricted to the positive quadrant of the sphere, after appropriate changes of variable.
- Because of this fact that any " natural " metric on is not especially different from the Euclidean metric, is not always distinguished from a Euclidean-space even in professional mathematical works.
- The Euclidean metric in the " n "-dimensional space induces a metric g = \ lambda ^ T \ lambda on the set " U ", with matrix elements
- Nonetheless, if a discrete space is constructed by a rectangular tiling of the plane and the Size Thesis is accepted, the Euclidean metric will be inappropriate for measuring distances on the resulting space.
- Rosen ( 1940 ) has proposed that at each point of space-time, there is a Euclidean metric tensor \ gamma _ { ij } in addition to the Riemannian metric tensor g _ { ij }.
- Then " f " satisfies ( ) precisely when it is a conformal transformation from " D " equipped with this metric to the domain " D " 2 equipped with the standard Euclidean metric.
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