Meanings
- abbreviationinitialismuncountablemathematicsInitialism of Zermelo-Fraenkel (set theory): a particular axiomatic formulation of set theory without the axiom of choice.
1971, Ulrich Felgner, Models of ZF-Set Theory, Springer, Lecture Notes in Mathematics 223, page 21, 1. Corollary: ZF is not finitely axiomatizable. 2. Corollary: ZF is reflexive (i.e. the consistency of every finite subtheory of ZF can be proved within ZF).
2 more examples
Gödel's model is an example of a simple type of inner model that might be called a definable transitive inner model³), where the universe is replaced by a transitive subuniverse defined within ZF, the membership relation is just the original one restricted to the subuniverse, and where the axioms of ZF relativized to the subuniverse, are provable within ZF.
1967, Carol Karp, “A Proof of the Relative Consistency of the Continuum Hypothesis”, in John N. Crossley, editor, Sets, Models, and Recursion Theory, North-Holland, page 71991 [Kluwer Academic], Fred Landman, Structures for Semantics, 1991, Springer, Softcover, page 56, However, the problem with it, and the reason why it is not part of ZF strictly (apart from the fact that it implies the axiom of choice) is that it is rather arbitrary.
- abbreviationinitialismnot comparablecommunicationsInitialism of zero forcing.
Thus, the importance of the upper bound is in showing that even in the most optimistic case, the achievable rate cannot exceed the ZF rates by more than 10%.
2013, Academic Press Library in Signal Processing, page 3082 more examples
In the case of the ZF detector, we suppress the interference among the transmit streams by multiplying the received signal vector y with the Moore-Penrose pseudo-inverse of the channel matrix […]
2008, Byeong Gi Lee, Sunghyun Choi, Broadband Wireless Access and Local NetworksHowever, due to its simplicity, ZF equalization is a good choice when the channel is known and fixed, and also when there is no frequency notch in the channel frequency response […]
2010, Dayan Adionel Guimaraes, Digital Transmission, page 348
Cite this entry
ZF. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/ZF
“ZF.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/ZF. Accessed November 2, 2026.
WatkinsX Dictionary, s.v. “ZF,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/ZF.
Source: ZF on Wiktionary, CC BY-SA 4.0.