MGroup.LinearAlgebra.Vectors

IIndexable1D

A vector that supports indexing and dimension querying. These are the most basic operations all vector classes must implement. Authors: Serafeim Bakalakos

public interface MGroup.LinearAlgebra.Vectors.IIndexable1D

Properties

Type	Name	Summary
Double	Item	Returns the entry at ``.
Int32	Length	The number of entries of the vector.

Methods

Type	Name	Summary
Boolean	Equals(IIndexable1D other, Double tolerance = 1E-13)	Returns true if 1) this and have the same `MGroup.LinearAlgebra.Vectors.IIndexable1D.Length` and 2) this[i] -[i] is within the acceptable `` for all i.

ISliceable1D

Can return subvectors containing select entries. Authors: Serafeim Bakalakos

public interface MGroup.LinearAlgebra.Vectors.ISliceable1D
    : IIndexable1D

Methods

Type	Name	Summary
Vector	GetSubvector(Int32[] indices)	Returns a subvector with the entries of the original vector that correspond to the provided indices. The relative order of the entries in the returned subvector can be different than the original one. It is defined by the order of the provided indices.
Vector	GetSubvector(Int32 startInclusive, Int32 endExclusive)	Returns a subvector with the entries of the original vector that correspond to the provided indices. The relative order of the entries in the returned subvector can be different than the original one. It is defined by the order of the provided indices.

IVector

Operations specified by this interface modify the vector. Therefore it is possible that they may throw exceptions if they are used on sparse vector formats and the zero entries are overwritten. Authors: Serafeim Bakalakos

public interface MGroup.LinearAlgebra.Vectors.IVector
    : IVectorView, IIndexable1D, IReducible

Methods

Type	Name	Summary
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	Adds selected entries from to this vector: this[[i]] += [[i]], for 0 <= i < .Length = .Length.
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector)	Adds selected entries from to this vector: this[[i]] += [[i]], for 0 <= i < .Length = .Length.
void	AxpyIntoThis(IVectorView otherVector, Double otherCoefficient)	Performs the following operation for all i: this[i] = *[i] + this[i]. Optimized version of and . Named after BLAS axpy (y = a*x plus y). The resulting vector overwrites the entries of this.
void	AxpySubvectorIntoThis(Int32 destinationIndex, IVectorView sourceVector, Double sourceCoefficient, Int32 sourceIndex, Int32 length)	Performs the following operation for consecutive entries starting from the provided indices: this[i] = * ``[i] + this[i].
void	Clear()	Sets all entries to 0. For sparse or block vectors: the indexing arrays will not be mutated. Therefore the sparsity pattern will be preserved. The non-zero entries will be set to 0, but they will still be stored explicitly.
void	CopyFrom(IVectorView sourceVector)	Copies all entries from `` to this MGroup.LinearAlgebra.Vectors.IVector.
void	CopyNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	Copies selected entries from to this vector: this[[i]] = [[i]], for 0 <= i < .Length = .Length.
void	CopyNonContiguouslyFrom(IVectorView otherVector, Int32[] otherIndices)	Copies selected entries from to this vector: this[[i]] = [[i]], for 0 <= i < .Length = .Length.
void	CopySubvectorFrom(Int32 destinationIndex, IVectorView sourceVector, Int32 sourceIndex, Int32 length)	Copies consecutive entries from to this MGroup.LinearAlgebra.Vectors.IVector starting from the provided indices.
void	DoEntrywiseIntoThis(IVectorView otherVector, Func<Double, Double, Double> binaryOperation)	Performs a binary operation on each pair of entries: this[i] = (this[i], [i]). The resulting vector overwrites the entries of this.
void	DoToAllEntriesIntoThis(Func<Double, Double> unaryOperation)	Performs a unary operation on each entry: this[i] = ``(this[i]). The resulting vector overwrites the entries of this.
void	LinearCombinationIntoThis(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	Performs the following operation for all i: this[i] = * this[i] + * ``[i]. Optimized version of MGroup.LinearAlgebra.Vectors.IVector.DoEntrywiseIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}). The resulting vector overwrites the entries of this.
void	ScaleIntoThis(Double scalar)	Performs the following operation for all i: this[i] = `` * this[i]. The resulting vector overwrites the entries of this.
void	Set(Int32 index, Double value)	Setter that will work as expected for general dense vectors. For sparse vectors it will throw a MGroup.LinearAlgebra.Exceptions.SparsityPatternModifiedException, if a structural zero entry is written to.

IVectorView

It supports common operations that do not mutate the underlying vector. If you need to store a vector and then pass it around or allow acceess to it, consider using this interface instead of MGroup.LinearAlgebra.Vectors.Vector for extra safety. Authors: Serafeim Bakalakos

public interface MGroup.LinearAlgebra.Vectors.IVectorView
    : IIndexable1D, IReducible

Methods

Type	Name	Summary
IVector	Axpy(IVectorView otherVector, Double otherCoefficient)	Performs the following operation for all i: result[i] = *[i] + this[i]. Optimized version of MGroup.LinearAlgebra.Vectors.IVectorView.DoEntrywise(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}) and MGroup.LinearAlgebra.Vectors.IVectorView.LinearCombination(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double). Named after BLAS axpy (y = a*x plus y). The resulting vector is written in a new object and then returned.
IVector	Copy(Boolean copyIndexingData = False)	Copies this MGroup.LinearAlgebra.Vectors.IVectorView object. A new vector of the same type as this object is initialized and returned.
Double[]	CopyToArray()	Returns an array with the entries of the vector. This is a deep copy operation. For vectors that do not explicitly store zeros, the copy may be much larger than the original vector.
IVector	CreateZeroVectorWithSameFormat()	Initializes a new instance of the same type as this vector, with the exact same storage format and zero entries.
IVector	DoEntrywise(IVectorView vector, Func<Double, Double, Double> binaryOperation)	Performs a binary operation on each pair of entries: result[i] = (this[i], [i]). The resulting vector is written in a new object and then returned.
IVector	DoToAllEntries(Func<Double, Double> unaryOperation)	Performs a unary operation on each entry: result[i] = ``(this[i]). The resulting vector is written in a new object and then returned.
Double	DotProduct(IVectorView vector)	Calculates the dot (or inner/scalar) product of this vector with : result = sum over all i of this[i] * [i]).
IVector	LinearCombination(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	Performs the following operation for all i: result[i] = * this[i] + * ``[i]. Optimized version of . The resulting vector is written in a new object and then returned.
Double	Norm2()	Calculates the Euclidian norm or 2-norm of this vector. For more see https://en.wikipedia.org/wiki/Norm_(mathematics)#Euclidean_norm.
IVector	Scale(Double scalar)	Performs the following operation for all i: result[i] = `` * this[i]. The resulting vector is written in a new object and then returned.

SparseVector

A vector that only stores non-zero entries. Some zero entries can also be stored but they are non-structural zeros and thus handled as non-zero entries. Authors: Serafeim Bakalakos

public class MGroup.LinearAlgebra.Vectors.SparseVector
    : IVector, IVectorView, IIndexable1D, IReducible

Properties

Type	Name	Summary
Double	Item	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Item(System.Int32)
Int32	Length	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Length.
Int32[]	RawIndices	The internal array that stores the indices of the non-zero entries of the vector. Its length is equal to the number of non-zero entries. It should only be used for passing the raw array to linear algebra libraries.
Double[]	RawValues	The internal array that stores the values of the non-zero entries of the vector. Its length is equal to the number of non-zero entries. It should only be used for passing the raw array to linear algebra libraries.

Methods

Type	Name	Summary
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.AddNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector)	See MGroup.LinearAlgebra.Vectors.IVector.AddNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
IVector	Axpy(IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.Axpy(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	AxpyIntoThis(IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.AxpyIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	AxpyIntoThis(SparseVector otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.AxpyIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	AxpySubvectorIntoThis(Int32 destinationIndex, IVectorView sourceVector, Double sourceCoefficient, Int32 sourceIndex, Int32 length)	See MGroup.LinearAlgebra.Vectors.IVector.AxpySubvectorIntoThis(System.Int32,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double,System.Int32,System.Int32).
void	Clear()	See MGroup.LinearAlgebra.Vectors.IVector.Clear.
IVector	Copy(Boolean copyIndexingData)	See .
SparseVector	Copy()	See .
void	CopyFrom(IVectorView sourceVector)	See MGroup.LinearAlgebra.Vectors.IVector.CopyFrom(MGroup.LinearAlgebra.Vectors.IVectorView)
void	CopyNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.CopyNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	CopyNonContiguouslyFrom(IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.CopyNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	CopySubvectorFrom(Int32 destinationIndex, IVectorView sourceVector, Int32 sourceIndex, Int32 length)	See MGroup.LinearAlgebra.Vectors.IVector.CopySubvectorFrom(System.Int32,MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32,System.Int32)
Double[]	CopyToArray()	See MGroup.LinearAlgebra.Vectors.IVectorView.CopyToArray.
Vector	CopyToFullVector()	Initializes a new instance of MGroup.LinearAlgebra.Vectors.Vector that contains the same non-zero entries as this MGroup.LinearAlgebra.Vectors.SparseVector, while the rest entries are explicitly 0.
Int32	CountNonZeros()	Counts how many non zero entries are stored in the vector. This includes zeros that are explicitly stored.
IVector	CreateZeroVectorWithSameFormat()	See MGroup.LinearAlgebra.Vectors.IVectorView.CreateZeroVectorWithSameFormat
IVector	DoEntrywise(IVectorView otherVector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVectorView.DoEntrywise(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}).
void	DoEntrywiseIntoThis(IVectorView otherVector, Func<Double, Double, Double> binaryOperation)	See .
IVector	DoToAllEntries(Func<Double, Double> unaryOperation)	See MGroup.LinearAlgebra.Vectors.IVectorView.DoToAllEntries(System.Func{System.Double,System.Double}).
void	DoToAllEntriesIntoThis(Func<Double, Double> unaryOperation)	See MGroup.LinearAlgebra.Vectors.IVector.DoToAllEntriesIntoThis(System.Func{System.Double,System.Double}).
Double	DotProduct(IVectorView vector)	See MGroup.LinearAlgebra.Vectors.IVectorView.DotProduct(MGroup.LinearAlgebra.Vectors.IVectorView).
IEnumerable<ValueTuple<Int32, Double>>	EnumerateNonZeros()	Iterates over the non zero entries of the vector. This includes zeros that are explicitly stored.
Boolean	Equals(IIndexable1D other, Double tolerance = 1E-13)	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Equals(MGroup.LinearAlgebra.Vectors.IIndexable1D,System.Double).
IVector	LinearCombination(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.LinearCombination(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	LinearCombinationIntoThis(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.LinearCombinationIntoThis(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double)
Double	Norm2()	See MGroup.LinearAlgebra.Vectors.IVectorView.Norm2
Double	Reduce(Double identityValue, ProcessEntry processEntry, ProcessZeros processZeros, Finalize finalize)	See MGroup.LinearAlgebra.Reduction.IReducible.Reduce(System.Double,MGroup.LinearAlgebra.Reduction.ProcessEntry,MGroup.LinearAlgebra.Reduction.ProcessZeros,MGroup.LinearAlgebra.Reduction.Finalize).
SparseVector	Scale(Double scalar)	Performs the following operation for 0 <= i < this.MGroup.LinearAlgebra.Vectors.SparseVector.Length: result[i] = `` * this[i]. The resulting vector is written to a new MGroup.LinearAlgebra.Vectors.SparseVector and then returned.
void	ScaleIntoThis(Double scalar)
void	Set(Int32 index, Double value)	See MGroup.LinearAlgebra.Vectors.IVector.Set(System.Int32,System.Double)

Static Methods

Type	Name	Summary
SparseVector	CreateFromArrays(Int32 length, Double[] values, Int32[] indices, Boolean checkInput, Boolean sortInput)	Creates a new instance of MGroup.LinearAlgebra.Vectors.SparseVector with the provided arrays as its internal data.
SparseVector	CreateFromDense(Double[] denseArray)	Creates a new instance of MGroup.LinearAlgebra.Vectors.SparseVector with the entries of . Only the entries that satisfy: [i] != 0 are explicitly stored in the new MGroup.LinearAlgebra.Vectors.SparseVector.
SparseVector	CreateFromDense(Double[] denseArray, Double tolerance)	Creates a new instance of MGroup.LinearAlgebra.Vectors.SparseVector with the entries of . Only the entries that satisfy: [i] != 0 are explicitly stored in the new MGroup.LinearAlgebra.Vectors.SparseVector.
SparseVector	CreateFromDense(Vector denseVector)	Creates a new instance of MGroup.LinearAlgebra.Vectors.SparseVector with the entries of . Only the entries that satisfy: [i] != 0 are explicitly stored in the new MGroup.LinearAlgebra.Vectors.SparseVector.
SparseVector	CreateFromDense(Vector denseVector, Double tolerance)	Creates a new instance of MGroup.LinearAlgebra.Vectors.SparseVector with the entries of . Only the entries that satisfy: [i] != 0 are explicitly stored in the new MGroup.LinearAlgebra.Vectors.SparseVector.
SparseVector	CreateFromDictionary(Int32 length, Dictionary<Int32, Double> nonZeroEntries)	Creates a new instance of MGroup.LinearAlgebra.Vectors.SparseVector that has the provided and explicitly stores only the entries in. All other entries are considered as 0. First `` will be sorted.
SparseVector	CreateFromDictionary(Int32 length, SortedDictionary<Int32, Double> nonZeroEntries)	Creates a new instance of MGroup.LinearAlgebra.Vectors.SparseVector that has the provided and explicitly stores only the entries in. All other entries are considered as 0. First `` will be sorted.

Vector

General purpose vector class with more functionality than other vectors. No sparsity is assumed. Authors: Serafeim Bakalakos

public class MGroup.LinearAlgebra.Vectors.Vector
    : IVector, IVectorView, IIndexable1D, IReducible, ISliceable1D

Properties

Type	Name	Summary
Double	Item	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Item(System.Int32).
Int32	Length	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Length.
Double[]	RawData	The internal array that stores the entries of the vector. It should only be used for passing the raw array to linear algebra libraries.

Methods

Type	Name	Summary
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.AddNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector)	See MGroup.LinearAlgebra.Vectors.IVector.AddNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	AddSubvector(Vector subvector, Int32 destinationIndex)	Performs the operation: this[ + i] = this[ + i] + [i], for 0 <= i < .MGroup.LinearAlgebra.Vectors.Vector.Length.
Vector	Append(Vector last)	Creates a new MGroup.LinearAlgebra.Vectors.Vector that contains all entries of this followed by all entries of ``.
IVector	Axpy(IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.Axpy(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
Vector	Axpy(Vector otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.Axpy(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	AxpyIntoThis(IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.AxpyIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	AxpyIntoThis(Vector otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.AxpyIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	AxpySubvectorIntoThis(Int32 destinationIndex, IVectorView sourceVector, Double sourceCoefficient, Int32 sourceIndex, Int32 length)	See MGroup.LinearAlgebra.Vectors.IVector.CopySubvectorFrom(System.Int32,MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32,System.Int32).
void	Clear()	See MGroup.LinearAlgebra.Vectors.IVector.Clear.
IVector	Copy(Boolean copyIndexingData)	See .
Vector	Copy()	See .
void	CopyFrom(IVectorView sourceVector)	See MGroup.LinearAlgebra.Vectors.IVector.CopyFrom(MGroup.LinearAlgebra.Vectors.IVectorView)
void	CopyFrom(Vector sourceVector)	See MGroup.LinearAlgebra.Vectors.IVector.CopyFrom(MGroup.LinearAlgebra.Vectors.IVectorView)
void	CopyNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.CopyNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	CopyNonContiguouslyFrom(IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.CopyNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	CopySubvectorFrom(Int32 destinationIndex, IVectorView sourceVector, Int32 sourceIndex, Int32 length)	See MGroup.LinearAlgebra.Vectors.IVector.CopySubvectorFrom(System.Int32,MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32,System.Int32)
Double[]	CopyToArray()	See MGroup.LinearAlgebra.Vectors.IVectorView.CopyToArray.
void	CopyToArray(Int32 sourceIndex, Double[] destinationArray, Int32 destinationIndex, Int32 length)	See MGroup.LinearAlgebra.Vectors.IVectorView.CopyToArray.
IVector	CreateZeroVectorWithSameFormat()	See MGroup.LinearAlgebra.Vectors.IVectorView.CreateZeroVectorWithSameFormat
IVector	DoEntrywise(IVectorView vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVectorView.DoEntrywise(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}).
Vector	DoEntrywise(Vector vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVectorView.DoEntrywise(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}).
void	DoEntrywiseIntoThis(IVectorView vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVector.DoEntrywiseIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}).
void	DoEntrywiseIntoThis(Vector vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVector.DoEntrywiseIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}).
Vector	DoToAllEntries(Func<Double, Double> unaryOperation)	Performs a unary operation on each entry: result[i] = ``(this[i]), for 0 <= i < this.MGroup.LinearAlgebra.Vectors.Vector.Length. The resulting vector is written to a new `MGroup.LinearAlgebra.Vectors.Vector` and then returned.
void	DoToAllEntriesIntoThis(Func<Double, Double> unaryOperation)	Performs a unary operation on each entry: this[i] = ``(this[i]), for 0 <= i < this.MGroup.LinearAlgebra.Vectors.Vector.Length. The resulting vector overwrites the entries of this `MGroup.LinearAlgebra.Vectors.Vector` instance.
Double	DotProduct(IVectorView vector)	See MGroup.LinearAlgebra.Vectors.IVectorView.DotProduct(MGroup.LinearAlgebra.Vectors.IVectorView).
Double	DotProduct(Vector vector)	See MGroup.LinearAlgebra.Vectors.IVectorView.DotProduct(MGroup.LinearAlgebra.Vectors.IVectorView).
Boolean	Equals(IIndexable1D other, Double tolerance = 1E-13)	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Equals(MGroup.LinearAlgebra.Vectors.IIndexable1D,System.Double).
Vector	GetSubvector(Int32[] indices)	See MGroup.LinearAlgebra.Vectors.ISliceable1D.GetSubvector(System.Int32[]).
Vector	GetSubvector(Int32 startInclusive, Int32 endExclusive)	See MGroup.LinearAlgebra.Vectors.ISliceable1D.GetSubvector(System.Int32[]).
Boolean	IsZero(Double tolerance)	Returns true if this[i] <= `` for 0 <= i < this.MGroup.LinearAlgebra.Vectors.Vector.Length. Otherwise false is returned.
IVector	LinearCombination(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.LinearCombination(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
Vector	LinearCombination(Double thisCoefficient, Vector otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.LinearCombination(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	LinearCombinationIntoThis(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.LinearCombinationIntoThis(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	LinearCombinationIntoThis(Double thisCoefficient, Vector otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.LinearCombinationIntoThis(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
Vector	MultiplyEntrywise(Vector vector)	Performs the following operation for 0 <= i < this.MGroup.LinearAlgebra.Vectors.Vector.Length: result[i] = this[i] * ``[i]. The resulting vector is written to a new MGroup.LinearAlgebra.Vectors.Vector and then returned.
void	MultiplyEntrywiseIntoThis(Vector vector)	Performs the following operation for 0 <= i < this.MGroup.LinearAlgebra.Vectors.Vector.Length: this[i] = this[i] * ``[i]. The resulting vector overwrites the entries of this MGroup.LinearAlgebra.Vectors.Vector instance.
Double	Norm2()	See MGroup.LinearAlgebra.Vectors.IVectorView.Norm2
Double	Reduce(Double identityValue, ProcessEntry processEntry, ProcessZeros processZeros, Finalize finalize)	See MGroup.LinearAlgebra.Reduction.IReducible.Reduce(System.Double,MGroup.LinearAlgebra.Reduction.ProcessEntry,MGroup.LinearAlgebra.Reduction.ProcessZeros,MGroup.LinearAlgebra.Reduction.Finalize).
Vector[]	RemoveDuplicatesFindMultiplicity()	This method is used to remove duplicate values of a Knot Value Vector and return the multiplicity up to the requested Knot. The multiplicity of a single Knot can be derived using the exported multiplicity vector. The entries of this MGroup.LinearAlgebra.Vectors.Vector will be sorted.
Vector	Reorder(IReadOnlyList<Int32> permutation, Boolean oldToNew)	Creates a new MGroup.LinearAlgebra.Vectors.Vector that contains the entries of this MGroup.LinearAlgebra.Vectors.Vector with a different order, which is specified by the provided and.
Vector	Scale(Double scalar)	Performs the following operation for 0 <= i < this.MGroup.LinearAlgebra.Vectors.Vector.Length: result[i] = `` * this[i]. The resulting vector is written to a new MGroup.LinearAlgebra.Vectors.Vector and then returned.
void	ScaleIntoThis(Double scalar)	See MGroup.LinearAlgebra.Vectors.IVector.ScaleIntoThis(System.Double).
void	Set(Int32 index, Double value)	See MGroup.LinearAlgebra.Vectors.IVector.Set(System.Int32,System.Double).
void	SetAll(Double value)	Sets all entries of this vector to be equal to ``.
Matrix	TensorProduct(Vector vector)	Calculates the tensor product of this vector with ``: result[i, j] = this[i] * vector[j], for all valid i, j.

Static Methods

Type	Name	Summary
Vector	CreateFromArray(Double[] data, Boolean copyArray = False)	Initializes a new instance of MGroup.LinearAlgebra.Vectors.Vector with `` or a clone as its internal array.
Vector	CreateFromVector(IVectorView original)	Initializes a new instance of MGroup.LinearAlgebra.Vectors.Vector by copying the entries of an existing vector: ``.
Vector	CreateWithValue(Int32 length, Double value)	Initializes a new instance of MGroup.LinearAlgebra.Vectors.Vector with all entries being equal to ``.
Vector	CreateZero(Int32 length)	Initializes a new instance of MGroup.LinearAlgebra.Vectors.Vector with all entries being equal to 0.

Vector2

A vector with 2 entries. Optimized version of MGroup.LinearAlgebra.Vectors.Vector. Authors: Serafeim Bakalakos

public class MGroup.LinearAlgebra.Vectors.Vector2
    : IVector, IVectorView, IIndexable1D, IReducible

Properties

Type	Name	Summary
Double[]	InternalData	The internal array that stores the entries of the vector. It should only be used for passing the raw array to linear algebra libraries.
Double	Item	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Item(System.Int32).
Int32	Length	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Length.

Methods

Type	Name	Summary
void	AddIntoThis(Vector2 vector)	Performs the operation: this[i] = this[i] + ``[i], for 0 <= i < 2. The resulting vector overwrites the entries of this MGroup.LinearAlgebra.Vectors.Vector2 instance.
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.AddNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector)	See MGroup.LinearAlgebra.Vectors.IVector.AddNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
IVector	Axpy(IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.Axpy(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
Vector2	Axpy(Vector2 otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.Axpy(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	AxpyIntoThis(IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.AxpyIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double)
void	AxpyIntoThis(Vector2 otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.AxpyIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double)
void	AxpySubvectorIntoThis(Int32 destinationIndex, IVectorView sourceVector, Double sourceCoefficient, Int32 sourceIndex, Int32 length)	See MGroup.LinearAlgebra.Vectors.IVector.AxpySubvectorIntoThis(System.Int32,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double,System.Int32,System.Int32)
void	Clear()	See MGroup.LinearAlgebra.Vectors.IVector.Clear.
IVector	Copy(Boolean copyIndexingData = False)	See
Vector2	Copy()	See
void	CopyFrom(IVectorView sourceVector)	See MGroup.LinearAlgebra.Vectors.IVector.CopyFrom(MGroup.LinearAlgebra.Vectors.IVectorView)
void	CopyNonContiguouslyFrom(IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.CopyNonContiguouslyFrom(MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	CopyNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.CopyNonContiguouslyFrom(MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	CopySubvectorFrom(Int32 destinationIndex, IVectorView sourceVector, Int32 sourceIndex, Int32 length)	See MGroup.LinearAlgebra.Vectors.IVector.CopySubvectorFrom(System.Int32,MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32,System.Int32)
Double[]	CopyToArray()	See MGroup.LinearAlgebra.Vectors.IVectorView.CopyToArray.
IVector	CreateZeroVectorWithSameFormat()	See MGroup.LinearAlgebra.Vectors.IVectorView.CreateZeroVectorWithSameFormat
Double	CrossProduct(Vector2 vector)	Performs the operation: result = this[0] * other[1] - this[1] * other[0]. The result is a scalar value. Also note that: other.Cross(this) = - this.Cross(other).
IVector	DoEntrywise(IVectorView vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVectorView.DoEntrywise(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}).
Vector2	DoEntrywise(Vector2 vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVectorView.DoEntrywise(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}).
void	DoEntrywiseIntoThis(IVectorView otherVector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVector.DoEntrywiseIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double})
void	DoEntrywiseIntoThis(Vector2 vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVector.DoEntrywiseIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double})
Vector2	DoToAllEntries(Func<Double, Double> unaryOperation)	Performs a unary operation on each entry: result[i] = ``(this[i]), for 0 <= i < 2. The resulting vector is written to a new MGroup.LinearAlgebra.Vectors.Vector2 and then returned.
void	DoToAllEntriesIntoThis(Func<Double, Double> unaryOperation)	See MGroup.LinearAlgebra.Vectors.IVector.DoToAllEntriesIntoThis(System.Func{System.Double,System.Double})
Double	DotProduct(IVectorView vector)	See MGroup.LinearAlgebra.Vectors.IVectorView.DotProduct(MGroup.LinearAlgebra.Vectors.IVectorView).
Double	DotProduct(Vector2 vector)	See MGroup.LinearAlgebra.Vectors.IVectorView.DotProduct(MGroup.LinearAlgebra.Vectors.IVectorView).
Boolean	Equals(Vector2 other, Double tolerance = 1E-13)	Returns true if this[i] - [i] is within the acceptable for all 0 <= i < 2.
IVector	LinearCombination(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.LinearCombination(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
Vector2	LinearCombination(Double thisCoefficient, Vector2 otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.LinearCombination(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	LinearCombinationIntoThis(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.LinearCombinationIntoThis(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double)
void	LinearCombinationIntoThis(Double thisCoefficient, Vector2 otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.LinearCombinationIntoThis(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double)
Double	Norm2()	See MGroup.LinearAlgebra.Vectors.IVectorView.Norm2
Double	Reduce(Double identityValue, ProcessEntry processEntry, ProcessZeros processZeros, Finalize finalize)	See MGroup.LinearAlgebra.Reduction.IReducible.Reduce(System.Double,MGroup.LinearAlgebra.Reduction.ProcessEntry,MGroup.LinearAlgebra.Reduction.ProcessZeros,MGroup.LinearAlgebra.Reduction.Finalize).
Vector2	Scale(Double scalar)	Performs the operation: result[i] = `` * this[i], for 0 <= i < 2. The resulting vector is written to a new MGroup.LinearAlgebra.Vectors.Vector2 and then returned.
void	ScaleIntoThis(Double scalar)	Performs the operation: this[i] = `` * this[i], for 0 <= i < 2. The resulting vector overwrites the entries of this MGroup.LinearAlgebra.Vectors.Vector2 instance.
void	Set(Int32 index, Double value)	See MGroup.LinearAlgebra.Vectors.IVector.Set(System.Int32,System.Double)
void	SetAll(Double value)	Sets all entries of this vector to be equal to ``.
void	SubtractIntoThis(Vector2 vector)	Performs the operation: this[i] = this[i] - ``[i], for 0 <= i < 2. The resulting vector overwrites the entries of this MGroup.LinearAlgebra.Vectors.Vector2 instance.

Static Methods

Type	Name	Summary
Vector2	Create(Double entry0, Double entry1)	Initializes a new instance of MGroup.LinearAlgebra.Vectors.Vector2 that contains the provided entries: {, }.
Vector2	CreateFromArray(Double[] data, Boolean copyArray = False)	Initializes a new instance of MGroup.LinearAlgebra.Vectors.Vector2 with `` or a clone as its internal array.
Vector2	CreateZero()	Creates an new instance of MGroup.LinearAlgebra.Vectors.Vector2 with all entries being equal to 0.

Vector3

A vector with 3 entries. Optimized version of MGroup.LinearAlgebra.Vectors.Vector. Authors: Serafeim Bakalakos

public class MGroup.LinearAlgebra.Vectors.Vector3
    : IVector, IVectorView, IIndexable1D, IReducible

Properties

Type	Name	Summary
Double[]	InternalData	The internal array that stores the entries of the vector. It should only be used for passing the raw array to linear algebra libraries.
Double	Item	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Item(System.Int32).
Int32	Length	See MGroup.LinearAlgebra.Vectors.IIndexable1D.Length.

Methods

Type	Name	Summary
void	AddIntoThis(Vector3 vector)	Performs the operation: this[i] = this[i] + ``[i], for 0 <= i < 3. The resulting vector overwrites the entries of this MGroup.LinearAlgebra.Vectors.Vector3 instance.
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.AddNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	AddNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector)	See MGroup.LinearAlgebra.Vectors.IVector.AddNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
IVector	Axpy(IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.Axpy(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
Vector3	Axpy(Vector3 otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.Axpy(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	AxpyIntoThis(IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.AxpyIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double)
void	AxpyIntoThis(Vector3 otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.AxpyIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Double)
void	AxpySubvectorIntoThis(Int32 destinationIndex, IVectorView sourceVector, Double sourceCoefficient, Int32 sourceIndex, Int32 length)	See MGroup.LinearAlgebra.Vectors.IVector.AxpySubvectorIntoThis(System.Int32,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double,System.Int32,System.Int32)
void	Clear()	See MGroup.LinearAlgebra.Vectors.IVector.Clear.
IVector	Copy(Boolean copyIndexingData = False)	See
Vector3	Copy()	See
void	CopyFrom(IVectorView sourceVector)	See MGroup.LinearAlgebra.Vectors.IVector.CopyFrom(MGroup.LinearAlgebra.Vectors.IVectorView)
void	CopyNonContiguouslyFrom(Int32[] thisIndices, IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.CopyNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	CopyNonContiguouslyFrom(IVectorView otherVector, Int32[] otherIndices)	See MGroup.LinearAlgebra.Vectors.IVector.CopyNonContiguouslyFrom(System.Int32[],MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32[])
void	CopySubvectorFrom(Int32 destinationIndex, IVectorView sourceVector, Int32 sourceIndex, Int32 length)	See MGroup.LinearAlgebra.Vectors.IVector.CopySubvectorFrom(System.Int32,MGroup.LinearAlgebra.Vectors.IVectorView,System.Int32,System.Int32)
Double[]	CopyToArray()	See MGroup.LinearAlgebra.Vectors.IVectorView.CopyToArray.
IVector	CreateZeroVectorWithSameFormat()	See MGroup.LinearAlgebra.Vectors.IVectorView.CreateZeroVectorWithSameFormat
Vector3	CrossProduct(Vector3 vector)	Performs the operation: result = { a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0]}. The result is a vector. Also note that: other.Cross(this) = - this.Cross(other).
IVector	DoEntrywise(IVectorView vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVectorView.DoEntrywise(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}).
Vector3	DoEntrywise(Vector3 vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVectorView.DoEntrywise(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double}).
void	DoEntrywiseIntoThis(IVectorView otherVector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVector.DoEntrywiseIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double})
void	DoEntrywiseIntoThis(Vector3 vector, Func<Double, Double, Double> binaryOperation)	See MGroup.LinearAlgebra.Vectors.IVector.DoEntrywiseIntoThis(MGroup.LinearAlgebra.Vectors.IVectorView,System.Func{System.Double,System.Double,System.Double})
Vector3	DoToAllEntries(Func<Double, Double> unaryOperation)	Performs a unary operation on each entry: result[i] = ``(this[i]), for 0 <= i < 3. The resulting vector is written to a new MGroup.LinearAlgebra.Vectors.Vector3 and then returned.
void	DoToAllEntriesIntoThis(Func<Double, Double> unaryOperation)	Performs a unary operation on each entry: result[i] = ``(this[i]), for 0 <= i < 3. The resulting vector overwrites the entries of this MGroup.LinearAlgebra.Vectors.Vector3 instance.
Double	DotProduct(IVectorView vector)	See MGroup.LinearAlgebra.Vectors.IVectorView.DotProduct(MGroup.LinearAlgebra.Vectors.IVectorView).
Double	DotProduct(Vector3 vector)	See MGroup.LinearAlgebra.Vectors.IVectorView.DotProduct(MGroup.LinearAlgebra.Vectors.IVectorView).
Boolean	Equals(Vector3 other, Double tolerance = 1E-13)	Returns true if this[i] - [i] is within the acceptable for all 0 <= i < 3.
IVector	LinearCombination(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.LinearCombination(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
Vector3	LinearCombination(Double thisCoefficient, Vector3 otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVectorView.LinearCombination(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double).
void	LinearCombinationIntoThis(Double thisCoefficient, IVectorView otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.LinearCombinationIntoThis(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double)
void	LinearCombinationIntoThis(Double thisCoefficient, Vector3 otherVector, Double otherCoefficient)	See MGroup.LinearAlgebra.Vectors.IVector.LinearCombinationIntoThis(System.Double,MGroup.LinearAlgebra.Vectors.IVectorView,System.Double)
Double	Norm2()	See MGroup.LinearAlgebra.Vectors.IVectorView.Norm2
Double	Reduce(Double identityValue, ProcessEntry processEntry, ProcessZeros processZeros, Finalize finalize)	See MGroup.LinearAlgebra.Reduction.IReducible.Reduce(System.Double,MGroup.LinearAlgebra.Reduction.ProcessEntry,MGroup.LinearAlgebra.Reduction.ProcessZeros,MGroup.LinearAlgebra.Reduction.Finalize).
Vector3	Scale(Double scalar)	Performs the operation: result[i] = `` * this[i], for 0 <= i < 23. The resulting vector is written to a new MGroup.LinearAlgebra.Vectors.Vector3 and then returned.
void	ScaleIntoThis(Double scalar)	Performs the operation: this[i] = `` * this[i], for 0 <= i < 3. The resulting vector overwrites the entries of this MGroup.LinearAlgebra.Vectors.Vector3 instance.
void	Set(Int32 index, Double value)	See MGroup.LinearAlgebra.Vectors.IVector.Set(System.Int32,System.Double)
void	SetAll(Double value)	Sets all entries of this vector to be equal to ``.
void	SubtractIntoThis(Vector3 vector)	Performs the operation: this[i] = this[i] - ``[i], for 0 <= i < 3. The resulting vector overwrites the entries of this MGroup.LinearAlgebra.Vectors.Vector3 instance.

Static Methods

Type	Name	Summary
Vector3	Create(Double entry0, Double entry1, Double entry2)	Initializes a new instance of MGroup.LinearAlgebra.Vectors.Vector3 that contains the provided entries: {, , ``}.
Vector3	CreateFromArray(Double[] data, Boolean copyArray = False)	Initializes a new instance of MGroup.LinearAlgebra.Vectors.Vector3 with `` or a clone as its internal array.
Vector3	CreateZero()	Creates an new instance of MGroup.LinearAlgebra.Vectors.Vector3 with all entries being equal to 0.

VectorExtensions

Defines common vector operation shortcuts that can be used as extensions for MGroup.LinearAlgebra.Vectors.Vector. Authors: Serafeim Bakalakos

public static class MGroup.LinearAlgebra.Vectors.VectorExtensions

Static Methods

Type	Name	Summary
IVector	Add(this IVectorView thisVector, IVectorView otherVector)	Performs the operation: result[i] = [i] + [i], for 0 <= i < .`MGroup.LinearAlgebra.Vectors.IIndexable1D.Length` = .MGroup.LinearAlgebra.Vectors.IIndexable1D.Length. The resulting vector is written in a new object and then returned.
void	AddIntoThis(this IVector thisVector, IVectorView otherVector)	Performs the operation: [i] = [i] + [i], for 0 &lt;= i &lt; .MGroup.LinearAlgebra.Vectors.IIndexable1D.Length = ``.MGroup.LinearAlgebra.Vectors.IIndexable1D.Length. The resulting vector overwrites the entries of this `MGroup.LinearAlgebra.Vectors.IVector` instance.
void	AddIntoThis(this Vector thisVector, Vector otherVector)	Performs the operation: [i] = [i] + [i], for 0 &lt;= i &lt; .MGroup.LinearAlgebra.Vectors.IIndexable1D.Length = ``.MGroup.LinearAlgebra.Vectors.IIndexable1D.Length. The resulting vector overwrites the entries of this `MGroup.LinearAlgebra.Vectors.IVector` instance.
void	AddSubvectorIntoThis(this IVector destinationVector, Int32 destinationIndex, IVectorView sourceVector, Int32 sourceIndex, Int32 length)	Performs the following operation for consecutive entries starting from the provided indices: this[i] = this[i] +[i].
Vector	CrossProduct(this Vector thisVector, Vector otherVector)	Performs the operation: a x b = { a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0]}, where a = , b = and both have exactly 3 entries.. The result is a vector. Also note that: other.Cross(this) = - this.Cross(other).
IVector	Subtract(this IVectorView thisVector, IVectorView otherVector)	Performs the operation: result[i] = [i] - [i], for 0 <= i < .`MGroup.LinearAlgebra.Vectors.IIndexable1D.Length` = .MGroup.LinearAlgebra.Vectors.IIndexable1D.Length. The resulting vector is written in a new object and then returned.
void	SubtractIntoThis(this IVector thisVector, IVectorView otherVector)	Performs the operation: [i] = [i] - [i], for 0 &lt;= i &lt; .MGroup.LinearAlgebra.Vectors.IIndexable1D.Length = ``.MGroup.LinearAlgebra.Vectors.IIndexable1D.Length. The resulting vector overwrites the entries of this `MGroup.LinearAlgebra.Vectors.IVector` instance.
void	SubtractIntoThis(this Vector thisVector, Vector otherVector)	Performs the operation: [i] = [i] - [i], for 0 &lt;= i &lt; .MGroup.LinearAlgebra.Vectors.IIndexable1D.Length = ``.MGroup.LinearAlgebra.Vectors.IIndexable1D.Length. The resulting vector overwrites the entries of this `MGroup.LinearAlgebra.Vectors.IVector` instance.
void	SubtractSubvectorIntoThis(this IVector destinationVector, Int32 destinationIndex, IVectorView sourceVector, Int32 sourceIndex, Int32 length)	Performs the following operation for consecutive entries starting from the provided indices: this[i] = this[i] -[i].