State Plane Coordinates.(TECH TALK)Paiva, Joseph V.R
c, Representative raw image of single plane of TRAP2-tdTomato brain imaged under light-sheet microscope (left), and after detection by a supervised classifier (Ilastik, Arivis plugin), where single-cells are outlined in red (right, bottom). Blue arrows indicate example features that were ...
In terms of inferring interpretable governing equations, the special case in which all the states are measurable (that is, the observation function in equation (1) is the identity) has been extensively studied; see, for example, refs. 26,27,28. In 2011, Wang et al.26showed how governing...
These polynomials are functions of the angular coordinates for each molecule as follows: (3.45)Sl,m(θ,ϕ)=[(2l+1)(l−|m|)!(l+|m|)!]1/2Pl|m|(cosθ)eimϕ, where Pl|m| is the associated Legendre function. The values of l are positive integers only and |m| is always...
For example, circularly polarized light can be divided into two orthogonal LP components, while LP light results from the sum of two CP waves of equal amplitude, and the phase shift defines the polarization plane. If the CP waves have different amplitudes, elliptical polarization state results. ...
Following the nearest neighbour distortion, random perturbations are applied to the coordinatesrof all atomsNin the supercell. This aids in escaping from any metastable symmetry trapping and locate small, symmetry-breaking distortions (i.e., nearby lower energy basins). This step has proven useful in...
(x plane) are presented as left (positive coordinates) to right (negative coordinates) parts of the brain. Coronal slices (y plane) are presented as anterior (negative coordinates) to posterior (positive coordinates) parts of the brain. Axial slices (z plane) are presented as inferior to ...
As an example, here’s a simple state that displays a sphere “cursor” guide under the mouse pointer: from stateutils import ancestorObject from stateutils import sopGeometryIntersection from stateutils import cplaneIntersection class CursorState(object): def __init__(self, state_name, scene_vi...
(bottom) trajectories. Right: PES as a function of branching plane coordinates at one of the reactive hopping geometries. Diabatic energies, adiabatic energies, and adiabatic gaps are shown from top to bottom. The diabatic coupling is shown in gray.cPredicted vs. experimental quantum yield for ...
(42). The integrals over the longitudinal coordinates can be performed using this definition and the final result for the non-eikonal double inclusive gluon production cross section in pp scattering can be organised in the following way: $$\begin{aligned}&\frac{d\sigma }{d^2\mathbf{k}_1d\...