Embryonic (E19-E20) and early postnatal (P2) spinal cords with intact saphenous and sciatic nerves were isolated and placed in aerated artificial cerebral spinal fluid (CSF). Intracellular recordings were made from cells in the L2-L6 dorsal root ganglia using microelectrodes filled with 3 M potassium acetate or 5% neurobiotin (NB) in 1 M potassium acetate. Several physiological properties of ad...

For any Lie group action S:G×P → P , we introduce C∞(P )linear operators S • , that transform n-forms ωn ∈ An(P, V ) into (n−i)-forms S •ωn ∈ An−i(P,Alti(g, V )) . We compute the exterior derivative of these generated forms and their behavior under interior products with vector fields and Lie differentiation. By combination with Lie algebra valued forms θ ∈ A1(P,g) and φp ∈ Ap(P,g) , we recover...

In this paper, we analyze the coupling between the isometric projections of two square matrices. These two matrices of dimensions m×m and n×n are restricted to a lower k-dimensional subspace under isometry constraints. We maximize the coupling between these isometric projections expressed as the trace of the product of the projected matrices. First we connect this problem to notions such as the...

In this paper, we consider the problem of correlation between the projections of two square matrices. These matrices of dimensions m × m and n × n are projected on a subspace of lower-dimension k under isometry constraints. We maximize the correlation between these projections expressed as a trace function of the product of the projected matrices. First we connect this problem to notions such a...

In appearance-based methods, we usually represent an image of size n x m pixels by a vector in an n x m dimensional space. How ever, these n x m-dimensional spaces are too large to allow robust and fast face recognition. A common w ay to attempt to resolve this problem is to use dimensionality reduction techniques. The most prominent existing techniques for this purpose are Principal Component ...

introduction: the main goal of spect imaging is to determine activity distribution inside the organs of the body. however, due to photon attenuation, it is almost impossible to do a quantitative study. in this paper, we suggest a mathematical relationship between activity distribution and its corresponding projections using a transfer matrix. monte carlo simulation was used to find a precise tr...

introduction: monte carlo (mc) is the most common method for simulating virtual spect projections. it is useful for optimizing procedures, evaluating correction algorithms and more recently image reconstruction as a forward projector in iterative algorithms; however, the main drawback of mc is its long run time. we introduced a model based method considering the effect of body attenuation and i...

A new high-speed residue-to-binary converter for five bit moduli based on the Chinese Remainder Theorem is presented. The orthogonal projections are computed by mapping using five-variable logic functions. The sum of projections is calculated using the Wallace tree. The output carry-save representation is partitioned into four segments in such a way that the sum of the numbers represented by th...

suppose $pi:mathcal{a}rightarrow mathcal{b}$ is a surjective unital $ast$-homomorphism between c*-algebras $mathcal{a}$ and $mathcal{b}$, and $0leq aleq1$ with $ain  mathcal{a}$. we give a sufficient condition that ensures there is a proection $pin mathcal{a}$ such that $pi left( pright) =pi left( aright) $. an easy consequence is a result of [l. g. brown and g. k. pedersen, c*-algebras of real...