Riemann Console dot org

An open research record on the Riemann Hypothesis.

NAV READY · TYPE SHORTCUT · ENTER EXECUTES

Numerical evidence

Category
STANDARD MATHEMATICS
Definition
Evidence obtained by computing examples, values or finite regions rather than proving a universal statement.
Math Level
GENERAL

Numerical evidence is information obtained by computing examples, values or finite regions rather than by proving a universal mathematical statement.

Strong numerical evidence can reveal patterns, falsify proposed routes and make a conjecture highly plausible. It does not become proof merely because the computation is large or precise; its force depends on what was computed and how reliably.

See also: proof, numerical precision, interval arithmetic, counterexample, universal statement.

Related glossary terms

  1. [..]CounterexampleGLOSSARY · STANDARD MATHEMATICS
  2. [..]Interval arithmeticGLOSSARY · STANDARD MATHEMATICS
  3. [..]Numerical precisionGLOSSARY · STANDARD MATHEMATICS
  4. [..]ProofGLOSSARY · STANDARD MATHEMATICS
  5. [..]Universal statementGLOSSARY · STANDARD MATHEMATICS

Read this term in context

  1. [..]What is a computer-assisted proof?ARTICLE · ART-RC-0113
  2. [..]ConjectureARTICLE · ART-RC-0031
  3. [..]Exact identityARTICLE · ART-RC-0083
  4. [..]Independent reproductionARTICLE · ART-RC-0082
  5. [..]Interval arithmeticARTICLE · ART-RC-0075
  6. [..]Interval certificationARTICLE · ART-RC-0076
  7. [..]Logarithmic integralARTICLE · ART-RC-0024
  8. [..]Numerical counterexampleARTICLE · ART-RC-0038
  9. [..]ProofARTICLE · ART-RC-0032
  10. [..]Riemann HypothesisARTICLE · ART-RC-0006
  11. [..]Universal statementARTICLE · ART-RC-0035
  12. [..]If the Riemann Hypothesis has worked so far, why do we still need a proof?ARTICLE · ART-RC-0004
  13. [..]What is the Riemann Hypothesis?ARTICLE · ART-RC-0001
  14. [..]Why is a counterexample useful?ARTICLE · ART-RC-0002
  15. [..]MethodsPAGE · PUB-RC-0002