This time we are looking on the **crossword puzzle clue** for: *Twofold.*

it’s A 7 letters **crossword definition**.

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## Possible Answers:
**DUAL**.

**DUAL**.

Last seen on: –Universal Crossword – May 12 2022 s

–USA Today Crossword – Jan 30 2022

–Thomas Joseph – King Feature Syndicate Crossword – Oct 22 2020

–Universal Crossword – Sep 6 2020

–Newsday.com Crossword – Jun 21 2020

The Washington Post Crossword – May 20 2020

### Random information on the term “DUAL”:

In mathematics, a duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. Such involutions sometimes have fixed points, so that the dual of A is A itself. For example, Desargues’ theorem is self-dual in this sense under the standard duality in projective geometry.

In mathematical contexts, duality has numerous meanings although it is “a very pervasive and important concept in (modern) mathematics” and “an important general theme that has manifestations in almost every area of mathematics”.

Many mathematical dualities between objects of two types correspond to pairings, bilinear functions from an object of one type and another object of the second type to some family of scalars. For instance, linear algebra duality corresponds in this way to bilinear maps from pairs of vector spaces to scalars, the duality between distributions and the associated test functions corresponds to the pairing in which one integrates a distribution against a test function, and Poincaré duality corresponds similarly to intersection number, viewed as a pairing between submanifolds of a given manifold.