conver.md
h3rald h3rald@h3rald.com
Wed, 03 Jun 2026 06:27:05 +0200
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@@ -6,7 +6,7 @@ subtitle: "A versioning system for stable software"
summary: "An alternative approach to versioning software that aims to achieve eventual stability and completeness." content-type: project active: true -version: 1.2.G +version: 1.2.Y ----- ### Summary@@ -33,29 +33,30 @@ ### Specification
The key words “MUST”, “MUST NOT”, “REQUIRED”, “SHALL”, “SHALL NOT”, “SHOULD”, “SHOULD NOT”, “RECOMMENDED”, “MAY”, and “OPTIONAL” in this document are to be interpreted as described in [RFC 2119](https://tools.ietf.org/html/rfc2119). -### Example of Convergent Sequences +### Recommended Convergent Sequence + + +Formula: 1−1/2ⁿ +First five values: 1/2, 3/4, 7/8, 15/16, 31/32 + + +### Notations + +#### Compact -|Name |Sigil|Formula |→ |Rate |First 5 terms | -|----------|-----|--------------|----|-----|---------------------------------| -|**Euler** |e |digits of e |e |0.125|2.7, 2.71, 2.718, 2.7182, 2.71828| -|**Pi** |π |digits of π |π |0.128|3.1, 3.14, 3.141, 3.1415, 3.14159| -|**Root** |R |digits of √2 |√2 |0.131|1.4, 1.41, 1.414, 1.4142, 1.41421| -|**Ln2** |N |digits of ln 2|ln 2|0.238|0.6, 0.69, 0.693, 0.6931, 0.69314| -|**Phi** |φ |digits of φ |φ |0.306|1.6, 1.61, 1.618, 1.6180, 1.61803| -|**Apéry** |A |digits of ζ(3)|ζ(3)|0.358|1.2, 1.20, 1.202, 1.2020, 1.20205| -|**Golden**|G |F(n)/F(n+1) |1/φ |0.379|1/1, 1/2, 2/3, 3/5, 5/8 | -|**Zeno** |Z |1−1/2ⁿ |1 |0.500|1/2, 3/4, 7/8, 15/16, 31/32 | -|**Dim** |D |1/n² |0 |0.758|1/1, 1/4, 1/9, 1/16, 1/25 | -|**Square**|Q |n²/(n²+1) |1 |0.772|1/2, 4/5, 9/10, 16/17, 25/26 | -|**Third** |T |(3n−1)/(3n) |1 |0.863|2/3, 5/6, 8/9, 11/12, 14/15 | -|**Odd** |O |(2n−1)/(2n) |1 |0.863|1/2, 3/4, 5/6, 7/8, 9/10 | -|**Fade** |F |1/n |0 |0.863|1/1, 1/2, 1/3, 1/4, 1/5 | -|**Half** |H |n/(2n+1) |1/2 |0.877|1/3, 2/5, 3/7, 4/9, 5/11 | -|**Wallis**|W |2n/(2n+1) |1 |0.877|2/3, 4/5, 6/7, 8/9, 10/11 | -|**Step** |S |n/(n+1) |1 |0.887|1/2, 2/3, 3/4, 4/5, 5/6 | -|**Leap** |L |n/(n+2) |1 |0.902|1/3, 1/2, 3/5, 2/3, 5/7 | +Example: 4B + +##### Fraction + +Example: 15/16 + +##### Binary Fraction + +Example: 0.1111 + +##### Decimal -### Notation +Example: 0.9375 ### About