The gap is the lack of an explicit polynomial formula

The gap

Evidence profile

Sourced from the stated research gap of the source papers, classified as general, drawn from work published between 1968 and 2026, spanning 5 journals.

Supporting evidence — 6 representative gaps

• Kant on empirical concepts (1979) · Studies in History and Philosophy of Science Part A · doi

  The gap is the lack of a clear explanation of how empirical concepts are formed and what standards are used to evaluate them. Prior work has not fully addressed this issue.

  generalstated research gap
  Keywords: gap lack clear explanation empirical concepts formed standards
• Diophantine Representation of the Set of Prime Numbers (1976) · American Mathematical Monthly · doi

  The gap is the lack of an explicit polynomial formula for the set of prime numbers. The gap is the need for a Diophantine definition of the set of prime numbers.

  generalstated research gap
  Keywords: gap lack explicit polynomial formula set prime numbers
• On order statistics for random sample size (1972) · Statistica Neerlandica · doi

  The gap is that very little is known when the sample size is a random variable. The gap is that the distribution of the order statistics is not known when the sample size has a binomial or negative binomial distribution.

  generalstated research gap
  Keywords: gap very little known sample size random variable
• Intuitive statistical inferences about diffuse hypotheses (1968) · Organizational Behavior and Human Performance · doi

  The gap is that previous experiments have not studied how people make intuitive statistical inferences about diffuse hypotheses. The gap is that the process of establishing P(DIH) for each diffuse hypothesis was not well understood.

  generalstated research gap
  Keywords: gap previous experiments have studied people make intuitive
• Évolution chronogéométrique des univers (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  The gap is the lack of a coherent theory of the chronogeometric evolution of universes. The gap is also the lack of a complete mathematical formulation of the theory.

  generalstated research gapevidence 5/5
  Keywords: gap lack coherent theory chronogeometric evolution universes complete
• The Entropy-Deficit Identity in the Accelerated Collatz Word Model: First-Moment Closure, Occupation-Tail Rates, the Geometric Codimension, and the Constant 0.0793186127… (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  The gap in prior work was the lack of a unified understanding of separate barrier calculations. The gap in prior work was the lack of a proof of the entropy-deficit identity.

  generalstated research gapevidence 5/5
  Keywords: gap prior work was lack unified understanding separate

Questions about this gap