3 Multinomial tests of accuracy 7 3.1 Naïve measures of agreement . . . . . . . . . . . . . 9 3.2 The weighted confusion matrix . . . . . . . . . . . . 12 3.3 The kappa index of agreement . . . . . . . . . . . . . 15 3.4 Conditional kappa . . . . . . . . . . . . . . . . . . . . 19 3.5 Weighted kappa . . . . . . . . . . . . . . . . . . . . . 20 3.6 The tau index . . . . . . . . . . . . . . . . ....

We consider compact Lie groups extensions of expanding maps of the circle, essentially restricting to U(1) and SU(2) extensions. The central object of the paper is the associated Ruelle transfer (or pull-back) operator F̂ . Harmonic analysis yields a natural decomposition F̂ = ⊕F̂α, where α indexes the irreducible representation spaces. Using Semiclassical techniques we extend a previous result by...

A phase geographical map for determining a right-angle prism is presented. The proposed method is based on total-internal-reflection effects and chromatic dispersion. Under the total-internal-reflection condition, the phase difference between the S and P polarizations, as a function of the wavelength and refractive index, can be extracted and measured using heterodyne interferometry. Various wa...

There is no index or criterion of aortic barodenervation, nor can we differentiate among rats that have suffered chronic sham, aortic or sino-aortic denervation. The objective of this study was to develop a procedure to generate at least one quantitative, reproducible and validated index that precisely evaluates the extent of chronic arterial barodenervation performed in conscious rats. Data fr...

This paper quantitatively analyzs the map information of different scales in the range of the mapping scale by making use of landscape pattern index, and constructs an evaluation index system by the standard of cartographic generalization evaluation. It takes land use cartographic generalization in Da Xing agricultural region of Beijing for an example, evaluates on the map quality between the s...

Let U be an open subset of a locally compact metric ANR X and let f : U → X be a continuous map. In this paper we study the fixed point index of the map that f induces in the n-symmetric product of X, Fn(X). This index can detect the existence of periodic orbits of period ≤ n of f , and it can be used to obtain the Euler characteristic of the n-symmetric product of a manifold X, χ(Fn(X)). We co...

Applying vector quantization (VQ) to an image delivers an index map. Dividing this index map into blocks results in each block using a limited number of codeword indices of the whole codebook (CB) while the rest of indices are unused. The proposed method exploits the unused indices to embed the watermark bits. The proposed watermark gives a high peak signal to noise ratio (PSNR) while keeping b...

The co-elementary hierarchy is a nested ordinal-indexed sequence of classes of mappings between compacta, with each successor level being defined inductively from the previous one using the topological ultracopower construction. The lowest level is the class of continuous surjections; and the next level up, the coexistential maps, is already a much more restricted class. Co-existential maps are...

Let f be a continuous map of a locally compact metric space X into itself. Suppose that S is an isolated invariant set with respect to f being a disjoint union of a xed nite number of compact sets. We deene an index of Conley type for isolated invariant sets admitting such a decomposition and prove some of its properties, which appear to be similar to that of the ordinary Conley index for maps....

A new map of the SNR G78.2+2.1 at 232 MHz is presented. This map is used with other images at 408, 1420, 2695 and 4800 MHz to investigate the total spectral index of the SNR and the variation of spectral index across it. The integrated spectral index is α = 0.54 ± 0.02 (where S ν ∝ ν −α). Maps of the spectral-index variation across the source are derived using a method which calculates a differ...