Olkin, I., and Pukelsheim, F.: The distance between two random vectors with given dispersion matrices. Linear Algebra and Appl. 48 (1982), 257–263 MathSciNet MATHOlkin, I., Pukelsheim, F.: The distance between
Cosine distance measures the dissimilarity between two vectors by calculating the cosine of the angle between them. It can be defined as one minus cosine similarity, as we see in the formula below: In a more detailed way, with a more formal mathematical expression, cosine distance is calculated...
This characterization involves checking whether a vector is in the linear span of two other vectors. Finally, we specialize our results to the case where the generating points of D are in general position (Corollary 3.1, Corollary 3.2, Corollary 5.1, Corollary 5.2). 1.1. Notation We collect ...
Here \xi are the polarization vectors. Integrated Ward identity \langle (\partial \cdot J_{\ell}) \Phi_1(x_1)\ldots \Phi_n (x_n) \rangle \propto\sum_{k=1}^n\delta(y - x_{k})\langle \Phi_1(x_1)\ldots [Q(\xi), \Phi_k(x_k)]\ldots \Phi_n(x_n) \rangle, ...
Code Issues Pull requests A Julia package for evaluating distances (metrics) between vectors. julia distance pairwise-distances distance-evaluation Updated Mar 28, 2025 Julia mapbox / cheap-ruler Star 421 Code Issues Pull requests Fast approximations for common geodesic measurements 🌐 javascri...
In this lesson we use Pythagoras' theorem and right triangles to develop an equation to find the distance between any two points in a...
The ||mu_1 – mu_2||^2 refers to the sum squared difference between the two mean vectors. Tr refers to the trace linear algebra operation, e.g. the sum of the elements along the main diagonal of the square matrix. The sqrt is the square root of the square matrix, given as the ...
Assuming that the subject of each scientific publication can be identified by one or more classification entities, we address the problem of determining a similarity function (distance) between classification entities based on how often two classification entities are used in the same publication. This...
The analysis proceeds in two parts. First, reuse between dynamic instances of individual static array references is identified. In particular, locality analysis looks for three types of reuse: spatial, temporal, and group. Spatial reuse occurs whenever a static array reference accesses locations close...
Assuming the signal propagated uniformly at the speed of light, c = 0.300 m ns−1, then the speed of propagation multiplied by the difference between the values of these time stamps is the difference of the distances from the source to the two radio transmitter–receivers: (8.2)c(t1−...