How do affine connections generalize the notion of covariant derivatives?

In Section 3, following Nagaoka [7], we introduce a Fisher metric and a pair of dual affine connections on the set of irreducible stochastic matrices, which ... Error messages, warnings, and informational messages ... HEAD files are actually used. -matvec mmm = Read an affine transformation matrix-vector from file I show that with multiple states, each separable uncertainty measure is a mixture of Shannon entropy and some diversity function (ignoring an unimportant affine ... Feb 11, 2014 ... (a, i). In this case, affine transformations are allowed for two utility profiles that are infor- mationally equivalent. Although there is ... Feb 10, 2018 ... ... data identifying the affine in x matrix- valued functions A(x) and B(x), and let we have an access to a first-order oracle providing us with ... Martin Category: Informational Voltage Security December 2007 Identity ... affine coordinates (x, y) in (F_p^2)^2 satisfying the curve equation over ... Sep 1, 2021 ... affine functions on ˜z, due to the influence of the compensation scheme. ... informational content of the total order flow signal but has a ... ... affine function may have a nonzero value when the independent variables are ... informational assumptions, the equilibrium bids of common value ... ... information exclusive to infrared imagery, with attractive visual and informational properties. ... affine motion. A custom layer called the Exponential ... Mar 21, 2023 ... ... informational-masking paradigm. Listeners performed a demanding ... Refinement of this initial 3D affine alignment was carried out ...