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DP1DP 2

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Originally appearing in Volume V06, Page 758 of the 1911 Encyclopedia Britannica.

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DP1DP 2 ... DP n hA l hx z ... lr7 m Putting as before Al=3, X2=2, X3=1, p1=2, p2=2, p3=1, pa=I, the reader will have no difficulty in constructing the diagrams of the eighteen solutions. The next and last example of a multitude that might be given shows the extraordinary See also:

POWER [WILLIAM GRATTAN] TYRONE (1797-1841)

power of the method by solving the famous problem of the " Latin Square," which for hundreds of years had proved beyond the See also:

POWERS, HIRAM (1805-1873)

powers of mathematicians. The problem consists in placing n letters a, b, c,...n in the compartments of a square lattice of n2 compartments, no compartment being empty, so that no See also:

LETTER (through Fr. lettre from Lat. littera or litera, letter of the alphabet; the origin of the Latin word is obscure; it has probably no connexion with the root of linere, to smear, i.e. with wax, for an inscription with a stilus)

letter occurs twice either in the same See also:

ROW, JOHN (c. 1525—1580)

row or in the same See also:

COLUMN (Lat. columna)

column. The See also:

FUNCTION

function is here Fi0.2n—10.2n—2...20. n' 1 2 _10.11 I and the operator Dn , the enumeration being given by 2 -1 D n 2n—1 2n—2 ' 2 n 2n-I(See also:

Ea a .. a and 1 n-1 See Trans. See also:

COMB (a word common in various forms to Teut. languages, cf. Ger. Kamm, the Indo-Europ. origin of which is seen in yoµros, a peg or pin, and Sanskrit, gambhas, a tooth)

Comb. Phil. See also:

Soc. vol. xvi. pt. iv. pp. 262-290.

End of Article: DP1DP 2

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