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object FreeGroups

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Type Members

  1. case class Presentation(rels: Vector[Word], rank: Int) extends Product with Serializable

    Finite presentation of a group

    Finite presentation of a group

    rels

    relations

    rank

    number of generators.

  2. final case class Word(ls: Vector[Int]) extends AnyVal with Product with Serializable

    A word in a free group.

    A word in a free group.

    ls

    letters of the words represented as integers; 1 represents a, -1 represents a^{-1}

Value Members

  1. final def !=(arg0: Any): Boolean
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  2. final def ##: Int
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  3. final def ==(arg0: Any): Boolean
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  4. final def asInstanceOf[T0]: T0
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  5. def clone(): AnyRef
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    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  6. final def eq(arg0: AnyRef): Boolean
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  7. def equals(arg0: AnyRef): Boolean
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  8. final def getClass(): Class[_ <: AnyRef]
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  9. def hashCode(): Int
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  10. final def isInstanceOf[T0]: Boolean
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  11. def letterString(n: Int): String

    String for a letter, e.g.

    String for a letter, e.g. a, a! (for a inverse)

  12. def letterUnic(n: Int): String

    unicode string for a letter, e.g.

    unicode string for a letter, e.g. "a" or "\bar{a}"

  13. final def ne(arg0: AnyRef): Boolean
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  14. final def notify(): Unit
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  15. final def notifyAll(): Unit
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  16. val nullpres: Presentation
  17. def presentationWeight(pres: Presentation, presCntn: Double, wrdCntn: Double): Double
  18. implicit def readPres: ReadString[Presentation]
  19. implicit def readWord: ReadString[Word]
  20. final def synchronized[T0](arg0: => T0): T0
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  21. def toString(): String
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  22. final def wait(arg0: Long, arg1: Int): Unit
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  23. final def wait(arg0: Long): Unit
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  24. final def wait(): Unit
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    @throws(classOf[java.lang.InterruptedException])
  25. def wordWeight(w: Word, wrdCntn: Double, rank: Double): Double

    weight of a word, for a generation process where we extend with some probability, picking letters at random.

  26. implicit def writePres: WriteString[Presentation]
  27. implicit def writeWord: WriteString[Word]
  28. object Presentation extends Serializable
  29. object Word extends Serializable

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  1. def finalize(): Unit
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