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The definitions for many of these are disputed. Those that were certain (disputed) fractions of the Kab include, in increasing order of size, ukla (עוכלא), tuman (תומן), and kapiza (קפיזא). Those that were larger, in increasing order of size, included the modius (מודיא), [39] geriwa (geriwa), garab (גרב).
A simple fraction (also known as a common fraction or vulgar fraction) [n 1] is a rational number written as a/b or , where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include 1 / 2 , − 8 / 5 , −8 / 5 , and 8 / −5 .
The method of the fraction varies from a simple breaking into pieces by hand to a more elaborate cutting with a liturgical knife known as a spear, as is commonly done in the Byzantine rite. The action is accompanied by the singing of a responsory drawn both from the Emmaus account in the Gospel of Luke (Luke 24:13-35) and a selection from the ...
Above:A 3:1-coloring of the cycle on 5 vertices, and the corresponding 6:2-coloring. Below: A 5:2 coloring of the same graph. A b-fold coloring of a graph G is an assignment of sets of size b to vertices of a graph such that adjacent vertices receive disjoint sets. An a:b-coloring is a b-fold coloring out of a available colors.