Joe Root to an outstanding innings of 156 runs from Aaron Finch. Root came in with England 37/3 and he managed to score 90* off 49 balls but England lost by 39 runs. In the second T20I Joe batted at number 7 but only faced 1 ball scoring 1 run before England's innings finished. England won the match and drew the series, Root finished with 91 runs (both matches he was not out) and 1 wicket. The third ODI was abandoned in England's 15th over, Root had made 12 runs before being caught. In the fourth ODI Root was bowled for 0,
Root system with no overt connection to Lie theory (such as singularity theory). Finally, root systems are important for their own sake, as in spectral graph theory. As a first example, consider the six vectors in 2-dimensional Euclidean space, R, as shown in the image at the right; call them roots. These vectors span the whole space. If you consider the line perpendicular to any root, say β, then the reflection of R in that line sends any other root, say α, to another root. Moreover, the root to which it is sent equals α + nβ, where n is an integer