About f i f teen years ago, the hand eye system was one of the e x c i t i n g research t o p i c s in a r t i f i c i a l i n t e l l i g e n c e . Several AI groups attempted to develop i n t e l l i g e n t robots by combining computer vision with computer control led manipulator. However, after the success of early prototypes, research e f f o r t s have been s p l i t t e d into general in...

Lemma 1.2 (An Eigenvector Basis Diagonalizes T ). Let V be an n-dimensional vector space over a field F, and let T : V → V be a linear transformation. Suppose V has an ordered basis β := (v1, . . . , vn). Then vi is an eigenvector of T with eigenvalue λi ∈ F, for all i ∈ {1, . . . , n}, if and only if the matrix [T ]ββ is diagonal with [T ] β β = diag(λ1, . . . , λn). Lemma 1.3. Let V be a fini...

In this paper, we analyse the structure of the set of positive solutions of an heterogeneous nonlocal equation of the form: ∫ Ω K(x, y)u(y) dy − ∫ Ω K(y, x)u(x) dy + a0u+ λa1(x)u− β(x)u p = 0 in ×Ω where Ω ⊂ R is a bounded open set, K ∈ C(R × R) is nonnegative, ai, β ∈ C(Ω) and λ ∈ R. Such type of equation appears in some studies of population dynamics where the above solutions are the stationa...

An elementary example shows that the number of zeroes of a component of a solution of a system of linear ordinary differential equations cannot be estimated through the norm of coefficients of the system. Bounds for oscillations. In [1] it was shown that a linear ordinary differential equation of order n, with real analytic coefficients bounded in a neighborhood of the interval [−1, 1], admits ...

Given a connected graph G, a family F of connected graphs is called a forbidden family if no induced subgraph of G is isomorphic to any graph in F. If this is the case, G is said to be F-free. In earlier papers the authors identi ed four distinct families of triples of subgraphs that imply traceability when they are forbidden in su ciently large graphs. In this paper the authors introduce a fth...

The objectives were to evaluate pregnancy per AI (P/AI) of dairy cows subjected to the 5-day timed AI protocol under various synchronization and luteolytic treatments. Cows were either presynchronized or received supplemental progesterone during the synchronization protocol, and received a double luteolytic dose of PGF2α, either as one or two injections. In Experiment 1, dairy cows (n=737; Hols...

-The rates of release of AI by M NH~NO3 (pH 3) from minerals saturated with AI ions at pH 3 suggest that AI ions migrated from the surface layers and the matrix cores of kaolinite, montmorillonite, illite, and biotite, but only from the matrix core of muscovite mica. From the 0.25-0.5 p.m kaolinite and montmorillonite, part of the 'surface' A1 is released 'instantaneously' and the rest by first...