CFD - Nabla Logo
Simulation Software and Consultancy
CFD - home CFD - solutions CFD - software CFD - support CFD - other CFD - contact
CFD - Nabla Logo Explained
  Advanced Search
  
  Send us a comment/query
 
 
 
 
 
 
 
 
 
 
  ©2000-2007 Nabla Ltd.
Nabla - origin of the symbol and name


The company name Nabla Ltd. comes from the mathematical symbol commonly used in the equations we solve using the OpenFOAM software. The Oxford English Dictionary definition of ‘nabla’ reads:

Pronounciation
’nęble
Etymology
ad. L. nablum (Vulg.; nablium, Ovid) a. Gr. nabca  \special {t4ht=, prob. of Phœnician origin, and so identical with Heb. n                            e  \special {t4ht=bel which it is used to translate
Definition
A name of a symbolic operator  \~/  \special {t4ht=, defined as i @ + j @-+ k-@
 @x    @y    @z  \special {t4ht=. The operator was introduced by Sir William Hamilton, who represented it by the symbol /|  \special {t4ht=. (In quot. 1837 he uses   '
 \~/  \special {t4ht= as a symbol for any arbitrary function.)
Quotations
1837 W. R. HAMILTON in Trans. R. Irish Acad. XVII. 236 Considering x  \special {t4ht= as a function            y  \special {t4ht= of a new variable                                  '
                                o \special {t4ht= and performing any operation                                                                     '
                                                                   \~/  \special {t4ht= with reference to the latter variable,  \~/ 'f y(o') =  \~/ 'f (1 + D)(y(o'))o  \special {t4ht=.

1846 Proc. R. Irish Acad. III. 291 The following. . . general characteristic of operation  -d    -d    -d
idx + jdy + kdz = /|  \special {t4ht= , in which                                  x  \special {t4ht=,                                      y  \special {t4ht=,                                           z  \special {t4ht= are ordinary rectangular coordinates, while i  \special {t4ht=, j  \special {t4ht=, k  \special {t4ht= are his [sc. Hamilton’s] own coordinate imaginary units, appears to him to be one of great importance in many researches.

1847 W. R. HAMILTON in Phil. Mag. XXXI. 291 In the paper designed for Southampton. . . the characteristic was written                                        \~/  \special {t4ht=; but this more common sign has been so often used with other meanings, that it seems desirable to abstain from appropriating it to the new signification here proposed.

1853 -- Lect. Quaternions vii. 610 Introducing, for abridgment, as a new characteristic of operation, a symbol defined by the formula                                              /| =  \special {t4ht= etc. . . .

1884 W. THOMSON Notes Lect. Molecular Dynamics & Wave Theory of Light at John Hopkins Univ. x. 112 (MS.), I took the liberty of asking Professor Bell. . . whether he had a name for this symbol  \~/ 2   \special {t4ht=; and he has mentioned to me nabla, a humorous suggestion of Maxwell’s. It is the name of an Egyptian harp, which was of that shape.

1892 Phil. Trans. R. Soc. CLXXXIII. 431 Physical mathematics is very largely the mathematics of            \~/  \special {t4ht=. The name Nabla seems, therefore, ludicrously inefficient.

1939 D. E. RUTHERFORD Vector Methods iv. 50 A convenient method of writing grady  \special {t4ht= is           \~/ y  \special {t4ht=, where                        \~/  \special {t4ht= (pronounced ‘nabla’) is defined as the vector operator  \~/   =_  i@@x + j@@y + k@@z  \special {t4ht=

1969 L. YOUNG Systems of Units in Electr. & Magn. v. 63 The symbol nabla,  \~/  \special {t4ht=, is a vector differential operator.