Combinatorial species - meaning and definition. What is Combinatorial species
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What (who) is Combinatorial species - definition


Combinatorial species         
  • Schematic illustration of a combinatorial species structure on five elements by using a Labelle diagram
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In combinatorial mathematics, the theory of combinatorial species is an abstract, systematic method for deriving the generating functions of discrete structures, which allows one to not merely count these structures but give bijective proofs involving them. Examples of combinatorial species are (graphs], [[permutations, trees, and so on; each of these has an associated generating function which counts how many structures there are of a certain size.
Combinatorial chemistry         
  •  Peptides forming in cycles 3 and 4
  • Example of a solid-phase supported dye to signal ligand binding
  • A 27-member tripeptide full library and the three omission libraries. The color circles are amino acids
  • Positional scanning. Full trimer peptide library made from 3 amino acids and its 9 sublibraries. The first row shows the coupling positions
  • Compounds that can be synthesized from solid-phase bound imines
  • Recursive deconvolution. Blue, yellow and red circles: amino acids, Green circle: solid support
  • Flow diagram of the split-mix combinatorial synthesis
  • Use of a solid-supported polyamine to scavenge excess reagent
  • Use of a traceless linker
CHEMICAL METHODS DESIGNED TO RAPIDLY SYNTHESIZE LARGE NUMBERS OF CHEMICAL COMPOUNDS
Combinatorial Chemistry; Combichem; Combinational chemistry; Combinatorial libraries; Combinatorial library; Combinatorial synthesis; High-throughput chemistry; Combinatorial chemistry techniques
Combinatorial chemistry comprises chemical synthetic methods that make it possible to prepare a large number (tens to thousands or even millions) of compounds in a single process. These compound libraries can be made as mixtures, sets of individual compounds or chemical structures generated by computer software.
Combinatorial principles         
  • Inclusion–exclusion illustrated for three sets
COMBINATORIAL METHODS USED IN COMBINATORICS, A BRANCH OF MATHEMATICS
Combinatorial principle; Combinatorial methods; Counting principle; Counting principles
In proving results in combinatorics several useful combinatorial rules or combinatorial principles are commonly recognized and used.