Det danske Sprogs Stilling i Mellemslesvig i 1946

Com~jderations on Modcls of I\1ovcment Det~ction

A general charaelerization of multi-input 1'1Ovcmcnt (!clt'ctioH . models is given in terms of tl.e Volterra series formalism. Wheil nonlinearities of order higher than the second arc ncgligibk, an II-input system can be decomposed into a sd of 2-input systems, summing lillearly. For a isymmdrical) 2-inpllt system which h;!s sigllifjcanlnonline:iri~ics only lip 10the second order, (he correlati...

On the Convexity of log det (I + K X^{-1})

A simple proof is given for the convexity of log det(I +KX) in the positive definite matrix variable X ≻ 0 with a given positive semidefinite K 0. Convexity of functions of covariance matrices often plays an important role in the analysis of Gaussian channels. For example, suppose Y and Z are independent complex Gaussian nvectors with Y ∼ N(0,K) and Z ∼ N(0,X). Then, I(Y;Y + Z) = log det(I +KX)...

A Note on the Convexity of $\log \det ( I + KX^{-1} )$ and its Constrained Optimization Representation

This note provides another proof for the convexity (strict convexity) of log det(I + KX) over the positive definite cone for any given positive semidefinite matrix K 0 (positive definite matrix K ≻ 0) and the strictly convexity of log det(K + X) over the positive definite cone for any given K 0. Equivalent optimization representation with linear matrix inequalities (LMIs) for the functions log ...

I I I - I I - I I I I I . I I I I I I I I _ I Robust Sequential Confidence Intervals for the Behrens - Fisher Problem

I-homomorphism for BL-I-General L-fuzzy Automata

Taking into account the notion of BL-general fuzzy automaton, in the present study we define the notation of BL-intuitionistic general L-fuzzy automaton and I-bisimulation for BL-intuitionistic general L-fuzzy automaton.Then for a given BL-intuitionistic general L-fuzzy automaton, we obtain the greatest I-bisimulation. According to this notion, we give the structure of quotient BL-intuiti...