Brainstem auditory evoked responses (BAERs) were recorded in 40 patients with clinically definite brainstem infarction, and results were compared to localizations from physical signs and CT scans. The BAER was abnormal in 92% of patients with evidence on physical examination of dysfunction of lateral structures in the pons or midbrain. Normal BAERs were seen with medially-situated or medullary ...

New concepts of generalized ρ, θ -η invex functions for non-differentiable functions and generalized ρ, θ -η invariant monotone operators for set-valued mappings are introduced. The relationships between generalized ρ, θ -η invexity of functions and generalized ρ, θ -η invariant monotonicity of the corresponding Clarke’s subdifferentials are studied. Some of our results are extension and improv...

We provide a generalized image normalization technique which basically solved all problems in image normalization. The orientation of any image can be uniquely defined by at most three non-zero generalized complex (GC) moments. The correctness of our method is demonstrated theoretically as well as in practice by applying them to a number of "degenerate" images which have failed other previously...

In this paper we study generalized weights as an algebraic invariant of a code. We first describe anticodes in the Hamming and in the rank metric, proving in particular that optimal anticodes in the rank metric coincide with Frobenius-closed spaces. Then we characterize both generalized Hamming and rank weights of a code in terms of the intersection of the code with optimal anticodes in the res...

In this paper we prove that each element of any regular Baer ring is a sum of two units if no factor ring of R is isomorphic to Z_2 and we characterize regular Baer rings with unit sum numbers $omega$ and $infty$. Then as an application, we discuss the unit sum number of some classes of group rings.

Let P → M be a principal G-bundle. We construct well-defined substitutes for “Lebesgue measure” on the space A of connections on P and for “Haar measure” on the group G of gauge transformations. More precisely, we define algebras of “cylinder functions” on the spaces A, G, and A/G, and define generalized measures on these spaces as continuous linear functionals on the corresponding algebras. Bo...

of order n on V . It follows that R induces a projective collineation φ on the (n−1)dimensional projective space PG(n−1, q). We call φ and any projective collineation conjugate to φ a Frobenius collineation. In the present paper we shall study the case n = 3, that is, the Frobenius collineations of the projective plane PG(2, q). Let P = PG(2, q). Then every Singer cycle σ (see Section 3) of P d...

Cardiolipin antigens, used in the sero-diagnosis of syphilis, are mixtures of the phospholipids, cardiolipin, and purified natural lecithin (beefheart or egg), and usually also contain cholesterol. In 1949 Baer and Kates (1949, 1950) succeeded in the synthesis of L-ac-dimyristoyl lecithin and in the following years other types of synthetic lecithin were produced, including a D-oc-dimyristoyl le...