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  2. Permutation group - Wikipedia

    en.wikipedia.org/wiki/Permutation_group

    The degree of a group of permutations of a finite set is the number of elements in the set. The order of a group (of any type) is the number of elements (cardinality) in the group. By Lagrange's theorem, the order of any finite permutation group of degree n must divide n! since n-factorial is the order of the symmetric group S n.

  3. Niacin - Wikipedia

    en.wikipedia.org/wiki/Nicotinic_acids

    A man with pellagra, which is caused by a chronic lack of vitamin B 3 in the diet. Severe deficiency of niacin in the diet causes the disease pellagra, characterized by diarrhea, sun-sensitive dermatitis involving hyperpigmentation and thickening of the skin (see image), inflammation of the mouth and tongue, delirium, dementia, and if left untreated, death. [7]

  4. Primitive permutation group - Wikipedia

    en.wikipedia.org/wiki/Primitive_permutation_group

    The simplest example is the Klein four-group acting on the vertices of a square, which preserves the partition into diagonals. On the other hand, if a permutation group preserves only trivial partitions, it is transitive, except in the case of the trivial group acting on a 2-element set.

  5. Category:Permutation groups - Wikipedia

    en.wikipedia.org/wiki/Category:Permutation_groups

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  6. Permutation groups - Wikipedia

    en.wikipedia.org/?title=Permutation_groups&...

    move to sidebar hide. From Wikipedia, the free encyclopedia

  7. Permutation - Wikipedia

    en.wikipedia.org/wiki/Permutation

    Permutations without repetition on the left, with repetition to their right. If M is a finite multiset, then a multiset permutation is an ordered arrangement of elements of M in which each element appears a number of times equal exactly to its multiplicity in M. An anagram of a word having some repeated letters is an example of a multiset ...

  8. Nicotinic acid - Wikipedia

    en.wikipedia.org/wiki/Nicotinic_acid

    For humans, the efficiency of conversion is estimated as requiring 60 mg of tryptophan to make 1 mg of niacin. Riboflavin , vitamin B 6 and iron are required for the process. [ 20 ] Pellagra is a consequence of a corn-dominant diet because the niacin in corn is poorly bioavailable and corn proteins are low in tryptophan compared to wheat and ...

  9. Vitamin B3 - Wikipedia

    en.wikipedia.org/wiki/Vitamin_B3

    Example of a label showing the amount of niacin (Vitamin B3), and specifying to be niacinamide in the ingredient section.. As flour fortification started adding niacin in the US, the United States Government adopted the terms niacin (a shortened form of "nicotinic acid vitamin") and niacinamide in 1942 as alternate names for nicotinic acid and nicotinamide, respectively, and encouraged their ...

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