The third distance, circular distance between two projection points and, is a new distance on the sphere introduced by us in this paper.
The spherical distance (also called great circle distance or geodesic shortest distance) between two projection points and on the sphere, denoted by, is the shortest distance between any two points on the surface of a sphere measured along a path on the surface of the sphere.
Here the dancers moved behind and between two projection screens, with the perfectly matched videos of them suddenly changing in unexpected ways so that the stage and video realities kept shifting, clashing or merging in a magical high-speed display of transformations.
When that happens, the algorithm automatically takes the middle point between the two projections as the more accurate location and adjusts the camera position accordingly, one image at a time.
The goal of CCA is to learn a pair of directions w x and w y to maximize the correlation between the two projections ({w_{x}^{T}}X) and ({w_{y}^{T}}Y), where T denotes the transpose, i.e., to maximize: rho= frac {E[{w_{x}^{T}}XY^{T}w_{y}]}{sqrt{E[{w_{x}^{T}}XX^{T}w_{x}]E[{w_{y}^{T}}YY^{T}w_{y}]}} (3).
Comparing the projection under this scenario with the projection under Scenario 1, there is little difference between the two projections of future potential industrial roundwood production until 2015.
For each site sex combination and each 5-year age group (age 50 84 years) and 5-year period, we calculated the absolute difference between the two projections, and compared this with the mean of the two projections.
