Class HarmonicSeries

java.lang.Object

org.episteme.core.mathematics.sequences.HarmonicSeries

All Implemented Interfaces:

InfiniteSequence<Real>, Sequence<Real>

public class HarmonicSeries
extends Object
implements InfiniteSequence<Real>

Represents the Harmonic series: 1 + 1/2 + 1/3 + 1/4 + ...

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
HarmonicSeries()

Method Summary

Modifier and Type	Method	Description
Real	get(int index)	Returns the element at the specified index (0-based).
boolean	isConvergent()	Checks if the sequence converges to a limit.
Real	limit()	Returns the limit of the sequence if it converges.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

HarmonicSeries

public HarmonicSeries()

Method Details

get

public Real get(int index)

Description copied from interface: Sequence

Returns the element at the specified index (0-based).

Specified by:

get in interface Sequence<Real>

Parameters:

index - the index of the element to retrieve

Returns:

the element at the specified index

isConvergent

public boolean isConvergent()

Description copied from interface: InfiniteSequence

Checks if the sequence converges to a limit.

Specified by:

isConvergent in interface InfiniteSequence<Real>

Returns:

true if the sequence converges, false otherwise

limit

public Real limit()

Description copied from interface: InfiniteSequence

Returns the limit of the sequence if it converges.

Specified by:

limit in interface InfiniteSequence<Real>

Returns:

the limit of the sequence