Zero error - significado y definición. Qué es Zero error
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Qué (quién) es Zero error - definición

COMPLEXITY CLASS
Zero error probability in polynomial time; Zero-error Probabilistic Polynomial time
  • P]] within [[PSPACE]]. It is unknown if any of these containments are strict.

ZPP (complexity)         
In complexity theory, ZPP (zero-error probabilistic polynomial time) is the complexity class of problems for which a probabilistic Turing machine exists with these properties:
Zero (art)         
  • Günther Uecker, photo by Lothar Wolleh
  • Otto Piene, photo by Lothar Wolleh
  • Günther Uecker, Gropiusbau, Berlin
  • ZERO, Guggenheim, New York
GROUP OF ARTISTS
ZERO foundation
Zero (usually styled as ZERO) was an artist group founded in the late 1950s in Düsseldorf by Heinz Mack and Otto Piene. Piene described it as "a zone of silence and of pure possibilities for a new beginning".
Division by zero         
  • Dividing a number by 0 in Windows 11’s calculator
  • Android]] 2.2.1's calculator app shows the symbol of infinity.
  • Most calculators, such as this [[Texas Instruments]] [[TI-86]], will halt execution and display an error message when the user or a running program attempts to divide by zero.
  • Terminal Division by 0 in Windows 11
THE RESULT YIELDED BY A REAL NUMBER WHEN DIVIDED BY ZERO
Divide by zero; One over Zero; One Over Zero; ÷0; ÷ 0; Division by 0; Divide with zero; Divide by zero error; Divide by 0 error; Divide by 0; Division By Zero; Divided by Zero; Dividing by zero; Division by Zero; X/0; /0; Divided by zero; X÷0; 1/0; Divide-by-zero; Zero denominator; Zero division; Dividing by 0; A/0; Divide by 0 Error; Divide By Zero; 1÷0; Divide by Zero; Division by zero error; Divide 0
In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as \tfrac{a}{0}, where is the dividend (numerator).

Wikipedia

ZPP (complexity)

In complexity theory, ZPP (zero-error probabilistic polynomial time) is the complexity class of problems for which a probabilistic Turing machine exists with these properties:

  • It always returns the correct YES or NO answer.
  • The running time is polynomial in expectation for every input.

In other words, if the algorithm is allowed to flip a truly-random coin while it is running, it will always return the correct answer and, for a problem of size n, there is some polynomial p(n) such that the average running time will be less than p(n), even though it might occasionally be much longer. Such an algorithm is called a Las Vegas algorithm.

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.
  • It returns an answer YES, NO or DO NOT KNOW.
  • The answer is always either DO NOT KNOW or the correct answer.
  • It returns DO NOT KNOW with probability at most 1/2 for every input (and the correct answer otherwise).

The two definitions are equivalent.

The definition of ZPP is based on probabilistic Turing machines, but, for clarity, note that other complexity classes based on them include BPP and RP. The class BQP is based on another machine with randomness: the quantum computer.

Ejemplos de uso de Zero error
1. "You are never going to be at a zero error rate because this is a human endeavor," Wainstein said.
2. If forensic scientists wish to retain their credibility, they must abandon any pretence of zero error David Wilson Thursday September 14, 2006 The Guardian It‘s hard to escape forensic science.
3. I sense a desperation by some forensic scientists who seem to want to maintain a "zero error" pretence about their discipline, which simply cannot be sustained in the face of mounting evidence.