Roots are composed of the following tissues: epidermis, cortex, endodermis, pericycle, xylem, and phloem. The endodermis regulates ion movement into the xylem. The Casparian strip embedded in …

The equivalence classes under this relation are the indecomposable root systems that compose . To specify a root system, we don't need to specify all of the roots. We may recover it from a smaller set …

Now cut by some arbitrary hyperplane that does not intersect any root, and let be a vector orthogonal to it. Let + be the roots acute with (the positive roots) and the roots obtuse with (the negative roots).

We use the shorthand ei := eii for the diagonal unit matrices. i is the linear functional de ned on the diagonal by i(ej) = ij. XR denotes the transpose of a matrix along its antidiagonal. There are always …

Suppose R is a root system (or vector root system, or root datum). Then there is a set of positive roots for R. Fix such a set R+, and let be the corresponding set of simple roots.

By the two propositions, the corollary holds if (V,∆) is indecomposable, hence holds for any root system (V,∆). We will list four series of root systems of rank r known to us.

The root has the primary functions of ABSORPTION of water plus minerals, ANCHORAGE to the soil / substrate, CONDUCTION, and STORAGE of food. The cells and tissues examined in our previous …