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In mathematics and physics, the Christoffel symbols are an array of numbers describing a metric connection. [1] The metric connection is a specialization of the affine connection to surfaces or other manifolds endowed with a metric, allowing distances to be measured on that surface.
A machine translation expert, Knight approached language translation as if all languages were ciphers, effectively treating foreign words as symbols for English words. His approach, which tasked an expectation-maximization algorithm with generating every possible match of foreign and English words, enabled the algorithm to figure out a few ...
A black and white rendition of the Yale Babylonian Collection's Tablet YBC 7289 (c. 1800–1600 BCE), showing a Babylonian approximation to the square root of 2 (1 24 51 10 w: sexagesimal) in the context of Pythagoras' Theorem for an isosceles triangle.
C is the number of correct words, N is the number of words in the reference (N=S+D+C) The intuition behind 'deletion' and 'insertion' is how to get from the reference to the hypothesis. So if we have the reference "This is wikipedia" and hypothesis "This _ wikipedia", we call it a deletion.
Suppose we have samples of two discrete random variables, X and Y.By constructing the joint distribution, P X,Y (x, y), from which we can calculate the conditional distributions, P X|Y (x|y) = P X,Y (x, y)/P Y (y) and P Y|X (y|x) = P X,Y (x, y)/P X (x), and calculating the various entropies, we can determine the degree of association between the two variables.
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The signal-to-interference ratio (SIR or S/I), also known as the carrier-to-interference ratio (CIR or C/I), is the quotient between the average received modulated carrier power S or C and the average received co-channel interference power I, i.e. crosstalk, from other transmitters than the useful signal. [1] [2]
In statistical mechanics, the translational partition function, is that part of the partition function resulting from the movement (translation) of the center of mass. For a single atom or molecule in a low pressure gas, neglecting the interactions of molecules , the canonical ensemble q T {\displaystyle q_{T}} can be approximated by: [ 1 ]