How do you use Zpp in a sentence? See 10+ example sentences showing how this word appears in different contexts.
Zpp in a sentence
Using Zpp
- In the example corpus, zpp often appears in combinations such as: zpp is, and zpp, zpp reported.
Context around Zpp
- Average sentence length in these examples: 18 words
- Position in the sentence: 7 start, 1 middle, 6 end
- Sentence types: 14 statements, 0 questions, 0 exclamations
Corpus analysis for Zpp
- In this selection, "zpp" usually appears near the start of the sentence. The average example has 18 words, and this corpus slice is mostly made up of statements.
- Around the word, alternatively, project, assaults, reported and contains stand out and add context to how "zpp" is used.
- Recognizable usage signals include alternatively zpp can be and alternatively zpp contains probabilistic. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "zpp" sits close to words such as aaon, abbv and abdalla, which helps place it inside the broader word index.
Example types with zpp
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
ZPP should be contrasted with BPP. (6 words)
This is often taken to be the definition of ZPP. (10 words)
This shows that RP intersect co-RP is contained in ZPP. (11 words)
ZPP is the class of sets for which any random string is likely to be a witness of x in X, or x not in X, which ever the case may be. (32 words)
THE Zimbabwe Peace Project (ZPP) has fingered Zanu PF officials and war veterans in rampant cases of the politicisation of agricultural inputs distributed under Pfumvudza, a government food-security programme. (30 words)
Alternatively, ZPP can be defined as the class of problems for which a probabilistic Turing machine exists with these properties: * It always runs in polynomial time. (26 words)
Example sentences (14)
THE Zimbabwe Peace Project (ZPP) has fingered Zanu PF officials and war veterans in rampant cases of the politicisation of agricultural inputs distributed under Pfumvudza, a government food-security programme.
Days leading up to the demonstrations were characterised by a sharp increase in abductions, torture and assaults,” ZPP reported.
ZPP called upon the government and local authorities to ensure the right to water is protected and upheld.
Such cases have been reported in most areas in the country,” ZPP reported.
Alternatively, ZPP can be defined as the class of problems for which a probabilistic Turing machine exists with these properties: * It always runs in polynomial time.
Alternatively, ZPP contains probabilistic algorithms that are always correct and have expected polynomial running time.
Connecting this definition with other definitions of RP, co-RP and ZPP is easy.
For the classes RP and ZPP any string chosen at random will likely be a witness.
The class BPP does not require witnesses, although witnesses are sufficient (hence BPP contains RP, co-RP and ZPP).
This is often taken to be the definition of ZPP.
This shows that RP intersect co-RP is contained in ZPP.
To show that ZPP is contained in RP intersect co-RP, suppose we have a Las Vegas algorithm C to solve a problem.
ZPP is the class of sets for which any random string is likely to be a witness of x in X, or x not in X, which ever the case may be.
ZPP should be contrasted with BPP.
Common combinations with zpp
These word pairs occur most frequently in English texts:
- zpp is 4×
- and zpp 3×
- zpp reported 2×
- alternatively zpp 2×