DP1DP 2

This article appears in Volume V06, Page 758 of the Encyclopedia Britannica.

Encyclopedia Britannica - Main :: DIO-DRO

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

power

POWER [
WILLIAM
GRATTAN] TYRONE (1797-1841)

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

powers

POWERS, HIRAM (1805-1873)

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

letter

LETTER (through Fr. lettre from Lat. littera or litera, letter of the
alphabet
- ALPHABET (see also
  WRITING
  - WRITING
  - WRITING (the verbal noun of " to write," O. Eng. writan, to inscribe)
  )
; the origin of the Latin word is obscure; it has probably no connexion with the
root
- ROOT (late O.E. rot, adopted from Scand., cf. Norw. and Swed. rot, Dan. rod; the true O.E. word was wyrt, plant, represented in Ger. Wurz or Wurzel; the ultimate root is the same in both words, and is seen in Lat. radix)
- ROOT, ELIHU (1845– )
of linere, to smear, i.e. with wax, for an inscription with a stilus)

occurs twice either in the same row or in the same

column

COLUMN (Lat. columna)

. The

function

FUNCTION

is here
Fi0.2n10.2n2...20. n'
1 2 _10.11 I
and the operator Dn , the enumeration being given by
2 -1
D n 2n1 2n2 ' 2 n
2n-I(Ea a .. a and 1 n-1 See Trans.

Comb

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)

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

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