Combinatorial Optimization by Christofides N.

By Christofides N.

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2005/5:16pm Page: 27/32 Combinatorial Chemistry: From Split-Mix to Discrete 27 groups of five. Position 1 is the starting arrangement of the source and destination trays. The No. 5 source slot is in alignment with No. 1 destination slot. From this position, 5 crowns are pushed into the No. 1 destination slot, then the destination tray is repositioned. In position 2, No. 4 and No. 5 source slots are facing No. 1 and No. 2 destination slots, respectively. 1 and No. 2 destination slots. The destination tray is moved step by step into positions 3 through 9, while in each position 5 crowns are pushed over into all destination slots that are in alignment with the slots of the source trays.

11 Crown and string. A: crown; B: stem; C: carved stem with hole; D: support unit; E: full-length stem labeling the head of the string. The scratches represent the string number; F: half stem that marks the tail of the string; G: Stringed crowns. Positions of the crowns are numbered from the head. 2005/5:16pm Page: 24/32 24 Combinatorial Chemistry and Technologies The string itself must be resistant to solvents and other reaction conditions occurring in the synthesis. In our example, a polyethylene fishing line was used.

All monomers that are entered into a column are assigned to successively undergo coupling with the string appearing in the same column. Several data are instantly calculated and appear in the blue regions of the screen. Among these data are the total number of crowns needed in the synthesis and the number of coupling steps (column B). The number of source and destination slots used in the first and subsequent sorting steps (D and E), and the number of crowns occupying these slots (F and G), also appear, along with the number of crowns that contain the same product (H).

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