Sequences, series, summability Sequences and limits Concept
Sequence
Summary
A sequence is an ordered list of elements of a set, with one term for each natural number. Sequences are the basic objects of the study of limits in analysis. The node sequence gives the precise definition.
Where this leads
29 pages build on this one.
- Determinacy
- Almost periodic sequence
- Collatz conjecture
- Superposition of solutions
- Matrix difference equation
- Periodic sequence
- Indeterminate moment problem
- Moment problem
- Time series
- Hausdorff moment problem
- Determinate moment problem
- Numerical analysis
- Holonomic sequence
- Γ-convergence
- Well-quasi-ordering
- Krein's condition
- Carleman's condition
- Unilateral Z-transform
- Homogeneous and inhomogeneous linear recurrences
- Bilateral Z-transform
- Hamburger moment problem
- Hyperreal number
- Z-transform
- Descending chain condition
- Three-term recurrence relation
- Stieltjes moment problem
- Nevanlinna parametrization of solutions
- Limiting subdifferential
- Partially well-ordered set
Further reading
- Web https://en.wikipedia.org/wiki/Sequence, lead section
About this page
| Tag | 0G9EKM0E15 |
|---|---|
| URI | m2://0G9EKM0E15 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 40A05 |
| Same as |
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What this page needs for W2
- edge not_instance_of in: at least one non-example (0 of 1)
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What links here
Special cases
Definitions
Used by
- Determinacy
- Almost periodic sequence
- Collatz conjecture
- Superposition of solutions
- Matrix difference equation
- Periodic sequence
- Moment problem
- Time series
- Hausdorff moment problem
- Numerical analysis
- Holonomic sequence
- Γ-convergence
- Well-quasi-ordering
- Unilateral Z-transform
- Homogeneous and inhomogeneous linear recurrences
- Bilateral Z-transform
- Hamburger moment problem
- Hyperreal number
- Z-transform
- Descending chain condition
- Three-term recurrence relation
- Limiting subdifferential
- Partially well-ordered set