contragredient love

# contragredient

## Definitions

• adj. Generally, an object contragredient to another is the object inversed and transposed.
• adj. A contragredient representation in linear algebra is the transpose of the former representation of an inverse object.
• adj. A contragredient matrix is a transpose of an inverse matrix.

### from The Century Dictionary and Cyclopedia

• In mathematics, said of a set of variables subject to undergo linear transformation simultaneously with another set (to which the first is said to be contragredient), the two transformations being inverse to one another
• then the contragredience of the two sets will consist in the second set ξ,η,ζ being subject to undergo a simultaneous transformation to E, H, Z, defined by the equations

## Etymologies

Neologism based on the English prefix contra- and gredient. Gredient may be based on the English word grid, since the mathematical objects referred to as contragredient are often represented as grids of numbers. (Wiktionary)