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Distance matrix. In mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise, between the elements of a set. [1] Depending upon the application involved, the distance being used to define this matrix may or may not be a metric.
To calculate the amount of daily time dilation experienced by GPS satellites relative to Earth we need to separately determine the amounts due to the satellite's velocity and altitude, and add them together. Kinetic time dilation. The amount due to velocity is determined using the Lorentz transformation.
In Euclidean geometry, the distance from a point to a line is the shortest distance from a given point to any point on an infinite straight line. It is the perpendicular distance of the point to the line, the length of the line segment which joins the point to nearest point on the line. The algebraic expression for calculating it can be derived ...
Euclidean distance. In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance . These names come from the ancient Greek ...
Aristarchus of Samos. Eratosthenes ( c. 276 – c. 194/195 BC ), a Greek mathematician who calculated the circumference of the Earth and also the distance from the Earth to the Sun. Hipparchus ( c. 190 – c. 120 BC ), a Greek mathematician who measured the radii of the Sun and the Moon as well as their distances from the Earth.
Distance correlation. In statistics and in probability theory, distance correlation or distance covariance is a measure of dependence between two paired random vectors of arbitrary, not necessarily equal, dimension. The population distance correlation coefficient is zero if and only if the random vectors are independent.
The bias depends both on the sampling distribution of the estimator and on the transform, and can be quite involved to calculate – see unbiased estimation of standard deviation for a discussion in this case. Bias, variance and mean squared error
An Important Bird and Biodiversity Area ( IBA) is an area identified using an internationally agreed set of criteria as being globally important for the conservation of bird populations. IBA was developed and sites are identified by BirdLife International. There are over 13,000 IBAs worldwide. [1] These sites are small enough to be entirely ...
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