k]), we define its reverse composition diagram, also denoted by [alpha], to be the array of left-justified cells with [[alpha].
Also [alpha]//0 is simply the reverse composition diagram [alpha].
At the other side of the composition diagram
, and based on the complete disintegration of the EPDM phase, the onset for the 100% continuity of the PP phase was ~10 and 25 wt% of PP in the nonplasticized and plasticized blends, respectively (Fig.
This trend is consistent with the fact that the LCST for the ternary blend is located near the center of the triangular composition diagram
Figure 3 shows the composition diagram
for both systems.
Given a composition diagram
[alpha] with largest part m, we define a row-strict composition tableau (RSCT), F to be a filling of the cells of [alpha] with positive integers such that the entries of F strictly decrease in each row when read from left to right, the entries in the leftmost column of F weakly increase when read from top to bottom, and F satisfies the row-strict triple rule.
In Figure 2, the skyline diagrams are indexed by the weak composition (2,0,3,1,2), while the composition diagram
is indexed by the composition (2,3,1,2).
As a result of the specified constructions the authors received phase composition diagrams
of analysed sand the values of various studied non-isothermal moisture transfer parameters put on them in the form of isolines (Figs 4-9).
These are essentially composition diagrams
or processing diagrams portrayed using a phase diagram framework, and are sometimes referred to as a "semi phase diagram" or a "synthesis diagram.
10 Binary Phase Diagrams: Temperature Composition Diagrams
In this paper, we provide a quasisymmetric analogue of the (k, 1)-hook Schur functions obtained by summing the weights of fillings of composition diagrams
satisfying certain conditions and prove that this analogue decomposes the (k, 1)-hook Schur functions in a natural way.
gamma]](x; 0; 0) is the sum of the monomial weights of all semi-skyline augmented fillings (SSAF) of shape [gamma] which are fillings of composition diagrams
with positive integers, weakly decreasing upwards along columns, and the rows satisfy an inversion condition.