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## P

Partitioning - class cern.colt.Partitioning.
  Given some interval boundaries, partitions arrays such that all elements falling into an interval are placed next to each other.
Partitioning - class cern.colt.matrix.doublealgo.Partitioning.
  Given some interval boundaries, partitions matrices such that cell values falling into an interval are placed next to each other.
Partitioning - class cern.colt.matrix.objectalgo.Partitioning.
  Given some interval boundaries, partitions matrices such that cell values falling into an interval are placed next to each other.
PeV - Static variable in class cern.clhep.Units
PersistentObject - class cern.colt.PersistentObject.
  This empty class is the common root for all persistent capable classes.
PhysicalConstants - class cern.clhep.PhysicalConstants.
  High Energy Physics coherent Physical Constants.
PlusMult - class cern.jet.math.PlusMult.
  Only for performance tuning of compute intensive linear algebraic computations.
Poisson - class cern.jet.random.Poisson.
  Poisson distribution (quick); See the math definition and animated definition.
Poisson(double, RandomEngine) - Constructor for class cern.jet.random.Poisson
  Constructs a poisson distribution.
PoissonSlow - class cern.jet.random.PoissonSlow.
  Poisson distribution; See the math definition and animated definition.
PoissonSlow(double, RandomEngine) - Constructor for class cern.jet.random.PoissonSlow
  Constructs a poisson distribution.
Polynomial - class cern.jet.math.Polynomial.
  Polynomial functions.
PrimeFinder - class cern.colt.map.PrimeFinder.
  Not of interest for users; only for implementors of hashtables.
Probability - class cern.jet.stat.Probability.
  Custom tailored numerical integration of certain probability distributions.
Property - class cern.colt.matrix.linalg.Property.
  Tests matrices for linear algebraic properties (equality, tridiagonality, symmetry, singularity, etc).
Property(double) - Constructor for class cern.colt.matrix.linalg.Property
  Constructs an instance with a tolerance of `Math.abs(newTolerance)`.
p1evl(double, double[], int) - Static method in class cern.jet.math.Polynomial
  Evaluates the given polynomial of degree `N` at `x`, assuming coefficient of N is 1.0.
pairsMatching(DoubleIntProcedure, DoubleArrayList, IntArrayList) - Method in class cern.colt.map.AbstractDoubleIntMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsMatching(IntDoubleProcedure, IntArrayList, DoubleArrayList) - Method in class cern.colt.map.AbstractIntDoubleMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsMatching(IntIntProcedure, IntArrayList, IntArrayList) - Method in class cern.colt.map.AbstractIntIntMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsMatching(IntObjectProcedure, IntArrayList, ObjectArrayList) - Method in class cern.colt.map.AbstractIntObjectMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsMatching(LongObjectProcedure, LongArrayList, ObjectArrayList) - Method in class cern.colt.map.AbstractLongObjectMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsMatching(DoubleIntProcedure, DoubleArrayList, IntArrayList) - Method in class cern.colt.map.OpenDoubleIntHashMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsMatching(IntDoubleProcedure, IntArrayList, DoubleArrayList) - Method in class cern.colt.map.OpenIntDoubleHashMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsMatching(IntIntProcedure, IntArrayList, IntArrayList) - Method in class cern.colt.map.OpenIntIntHashMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsMatching(IntObjectProcedure, IntArrayList, ObjectArrayList) - Method in class cern.colt.map.OpenIntObjectHashMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsMatching(LongObjectProcedure, LongArrayList, ObjectArrayList) - Method in class cern.colt.map.OpenLongObjectHashMap
  Fills all pairs satisfying a given condition into the specified lists.
pairsSortedByKey(DoubleArrayList, IntArrayList) - Method in class cern.colt.map.AbstractDoubleIntMap
  Fills all keys and values sorted ascending by key into the specified lists.
pairsSortedByKey(IntArrayList, DoubleArrayList) - Method in class cern.colt.map.AbstractIntDoubleMap
  Fills all keys and values sorted ascending by key into the specified lists.
pairsSortedByKey(IntArrayList, IntArrayList) - Method in class cern.colt.map.AbstractIntIntMap
  Fills all keys and values sorted ascending by key into the specified lists.
pairsSortedByKey(IntArrayList, ObjectArrayList) - Method in class cern.colt.map.AbstractIntObjectMap
  Fills all keys and values sorted ascending by key into the specified lists.
pairsSortedByKey(LongArrayList, ObjectArrayList) - Method in class cern.colt.map.AbstractLongObjectMap
  Fills all keys and values sorted ascending by key into the specified lists.
pairsSortedByValue(DoubleArrayList, IntArrayList) - Method in class cern.colt.map.AbstractDoubleIntMap
  Fills all keys and values sorted ascending by value into the specified lists.
pairsSortedByValue(IntArrayList, DoubleArrayList) - Method in class cern.colt.map.AbstractIntDoubleMap
  Fills all keys and values sorted ascending by value into the specified lists.
pairsSortedByValue(IntArrayList, IntArrayList) - Method in class cern.colt.map.AbstractIntIntMap
  Fills all keys and values sorted ascending by value into the specified lists.
pairsSortedByValue(IntArrayList, ObjectArrayList) - Method in class cern.colt.map.AbstractIntObjectMap
  Fills all keys and values sorted ascending by value according to natural ordering into the specified lists.
pairsSortedByValue(LongArrayList, ObjectArrayList) - Method in class cern.colt.map.AbstractLongObjectMap
  Fills all keys and values sorted ascending by value according to natural ordering into the specified lists.
part(int, int, int, int) - Method in class cern.colt.bitvector.BitMatrix
  Constructs and returns a new matrix with `width` columns and `height` rows which is a copy of the contents of the given box.
partFromTo(int, int) - Method in class cern.colt.bitvector.BitVector
  Constructs and returns a new bit vector which is a copy of the given range.
partFromTo(int, int) - Method in class cern.colt.list.AbstractBooleanList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.AbstractByteList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.AbstractCharList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.AbstractDoubleList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.AbstractFloatList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.AbstractIntList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.AbstractLongList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.AbstractShortList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.BooleanArrayList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.ByteArrayList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.CharArrayList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.DoubleArrayList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.FloatArrayList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.IntArrayList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.LongArrayList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int, BitVector, int, long[], int) - Method in class cern.colt.list.MinMaxNumberList
  Copies all elements between index `from` (inclusive) and `to` (inclusive) into `part`, starting at index `partFrom` within `part`.
partFromTo(int, int) - Method in class cern.colt.list.ObjectArrayList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partFromTo(int, int) - Method in class cern.colt.list.ShortArrayList
  Returns a new list of the part of the receiver between `from`, inclusive, and `to`, inclusive.
partition(double[], int, int, double[], int, int, int[]) - Static method in class cern.colt.Partitioning
  Same as `Partitioning.partition(int[],int,int,int[],int,int,int[])` except that it partitions `double[]` rather than `int[]` arrays.
partition(double[], int, int, double) - Static method in class cern.colt.Partitioning
  Same as `Partitioning.partition(int[],int,int,int)` except that it partitions `double[]` rather than `int[]` arrays.
partition(int[], int, int, int[], int, int, int[]) - Static method in class cern.colt.Partitioning
  Partitions (partially sorts) the given list such that all elements falling into some intervals are placed next to each other.
partition(int[], int, int, int) - Static method in class cern.colt.Partitioning
  Partitions (partially sorts) the given list such that all elements falling into the given interval are placed next to each other.
partition(Object[], int, int, Object[], int, int, int[], Comparator) - Static method in class cern.colt.Partitioning
  Same as `Partitioning.partition(int[],int,int,int[],int,int,int[])` except that it partitions `Object[]` rather than `int[]` arrays.
partition(Object[], int, int, Object, Comparator) - Static method in class cern.colt.Partitioning
  Same as `Partitioning.partition(int[],int,int,int)` except that it synchronously partitions the objects of the given list by the order of the given comparator.
partition(DoubleArrayList, int, int, DoubleArrayList, IntArrayList) - Static method in class cern.colt.Partitioning
  Equivalent to `partition(list.elements(), from, to, splitters.elements(), 0, splitters.size()-1, splitIndexes.elements())`.
partition(IntArrayList, int, int, IntArrayList, IntArrayList) - Static method in class cern.colt.Partitioning
  Equivalent to `partition(list.elements(), from, to, splitters.elements(), 0, splitters.size()-1, splitIndexes.elements())`.
partition(DoubleMatrix2D, int[], int, int, int, double[], int, int, int[]) - Static method in class cern.colt.matrix.doublealgo.Partitioning
  Same as `Partitioning.partition(int[],int,int,int[],int,int,int[])` except that it synchronously partitions the rows of the given matrix by the values of the given matrix column; This is essentially the same as partitioning a list of composite objects by some instance variable; In other words, two entire rows of the matrix are swapped, whenever two column values indicate so.
partition(DoubleMatrix2D, int, double[], int[]) - Static method in class cern.colt.matrix.doublealgo.Partitioning
  Same as `Partitioning.partition(int[],int,int,int[],int,int,int[])` except that it synchronously partitions the rows of the given matrix by the values of the given matrix column; This is essentially the same as partitioning a list of composite objects by some instance variable; In other words, two entire rows of the matrix are swapped, whenever two column values indicate so.
partition(ObjectMatrix2D, int[], int, int, int, Object[], int, int, int[]) - Static method in class cern.colt.matrix.objectalgo.Partitioning
  Same as `Partitioning.partition(int[],int,int,int[],int,int,int[])` except that it synchronously partitions the rows of the given matrix by the values of the given matrix column; This is essentially the same as partitioning a list of composite objects by some instance variable; In other words, two entire rows of the matrix are swapped, whenever two column values indicate so.
partition(ObjectMatrix2D, int, Object[], int[]) - Static method in class cern.colt.matrix.objectalgo.Partitioning
  Same as `Partitioning.partition(int[],int,int,int[],int,int,int[])` except that it synchronously partitions the rows of the given matrix by the values of the given matrix column; This is essentially the same as partitioning a list of composite objects by some instance variable; In other words, two entire rows of the matrix are swapped, whenever two column values indicate so.
pascal - Static variable in class cern.clhep.Units
pdf(double) - Method in class cern.jet.random.Beta
  Returns the cumulative distribution function.
pdf(int) - Method in class cern.jet.random.Binomial
  Returns the probability distribution function.
pdf(double) - Method in class cern.jet.random.ChiSquare
  Returns the probability distribution function.
pdf(double) - Method in class cern.jet.random.Empirical
  Returns the probability distribution function.
pdf(int) - Method in class cern.jet.random.Empirical
  Returns the probability distribution function.
pdf(int) - Method in class cern.jet.random.EmpiricalWalker
  Returns the probability distribution function.
pdf(double) - Method in class cern.jet.random.Exponential
  Returns the probability distribution function.
pdf(double) - Method in class cern.jet.random.Gamma
  Returns the probability distribution function.
pdf(int) - Method in class cern.jet.random.HyperGeometric
  Returns the probability distribution function.
pdf(int) - Method in class cern.jet.random.NegativeBinomial
  Returns the probability distribution function.
pdf(double) - Method in class cern.jet.random.Normal
  Returns the probability distribution function.
pdf(int) - Method in class cern.jet.random.Poisson
  Returns the probability distribution function.
pdf(double) - Method in class cern.jet.random.StudentT
  Returns the probability distribution function.
pdf(double) - Method in class cern.jet.random.Uniform
  Returns the probability distribution function (assuming a continous uniform distribution).
perCent - Static variable in class cern.clhep.Units
perMillion - Static variable in class cern.clhep.Units
perThousand - Static variable in class cern.clhep.Units
percentFromTo(float, float) - Method in class cern.jet.stat.quantile.EquiDepthHistogram
  Returns the percentage of elements in the range (from,to].
permutation(long, int) - Static method in class cern.colt.GenericPermuting
  Returns the `p`-th permutation of the sequence `[0,1,...,N-1]`.
permute(int[], int[]) - Static method in class cern.colt.GenericPermuting
  A non-generic variant of reordering, specialized for `int[]`, same semantics.
permute(int[], Swapper, int[]) - Static method in class cern.colt.GenericPermuting
  Deprecated.
permute(int[], Swapper, int[], int[]) - Static method in class cern.colt.GenericPermuting
  Generically reorders arbitrary shaped generic data `g` such that `g[i] == g[indexes[i]]`.
permute(Object[], int[]) - Static method in class cern.colt.GenericPermuting
  A non-generic variant of reordering, specialized for `Object[]`, same semantics.
permute(DoubleMatrix1D, int[], double[]) - Method in class cern.colt.matrix.linalg.Algebra
  Modifies the given vector `A` such that it is permuted as specified; Useful for pivoting.
permute(DoubleMatrix2D, int[], int[]) - Method in class cern.colt.matrix.linalg.Algebra
  Constructs and returns a new row and column permuted selection view of matrix `A`; equivalent to `DoubleMatrix2D.viewSelection(int[],int[])`.
permuteColumns(DoubleMatrix2D, int[], int[]) - Method in class cern.colt.matrix.linalg.Algebra
  Modifies the given matrix `A` such that it's columns are permuted as specified; Useful for pivoting.
permuteRows(DoubleMatrix2D, int[], int[]) - Method in class cern.colt.matrix.linalg.Algebra
  Modifies the given matrix `A` such that it's rows are permuted as specified; Useful for pivoting.
petaelectronvolt - Static variable in class cern.clhep.Units
phi(double) - Method in interface cern.jet.stat.quantile.DoubleQuantileFinder
  Returns how many percent of the elements contained in the receiver are `<= element`.
phi(float) - Method in class cern.jet.stat.quantile.EquiDepthHistogram
  Returns how many percent of the elements contained in the receiver are `<= element`.
physicalConstants - Static variable in class cern.clhep.PhysicalConstants
  Little trick to allow for "aliasing", that is, renaming this class.
pi - Static variable in class cern.clhep.PhysicalConstants
pi2 - Static variable in class cern.clhep.PhysicalConstants
picobarn - Static variable in class cern.clhep.Units
picofarad - Static variable in class cern.clhep.Units
picosecond - Static variable in class cern.clhep.Units
plus(Timer) - Method in class cern.colt.Timer
  `T = this + other`; Constructs and returns a new timer which is the sum of the receiver and the other timer.
plus(DoubleMatrix1D, double) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = A + s <=> A[i] = A[i] + s`.
plus(DoubleMatrix1D, DoubleMatrix1D) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = A + B <=> A[i] = A[i] + B[i]`.
plus(DoubleMatrix2D, double) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = A + s <=> A[row,col] = A[row,col] + s`.
plus(DoubleMatrix2D, DoubleMatrix2D) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = A + B <=> A[row,col] = A[row,col] + B[row,col]`.
plus - Static variable in class cern.jet.math.Functions
  Function that returns `a + b`.
plus(double) - Static method in class cern.jet.math.Functions
  Constructs a function that returns `a + b`.
plus - Static variable in class cern.jet.math.IntFunctions
  Function that returns `a + b`.
plus(int) - Static method in class cern.jet.math.IntFunctions
  Constructs a function that returns `a + b`.
plusAbs - Static variable in class cern.jet.math.Functions
  Function that returns `Math.abs(a) + Math.abs(b)`.
plusDiv(double) - Static method in class cern.jet.math.PlusMult
  `a + b/constant`.
plusMult(DoubleMatrix1D, DoubleMatrix1D, double) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = A + B*s<=> A[i] = A[i] + B[i]*s`.
plusMult(DoubleMatrix2D, DoubleMatrix2D, double) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = A + B*s <=> A[row,col] = A[row,col] + B[row,col]*s`.
plusMult(double) - Static method in class cern.jet.math.Functions
  Constructs a function that returns `a + b*constant`.
plusMult(double) - Static method in class cern.jet.math.PlusMult
  `a + b*constant`.
poisson(int, double) - Static method in class cern.jet.stat.Probability
  Returns the sum of the first `k` terms of the Poisson distribution.
poissonComplemented(int, double) - Static method in class cern.jet.stat.Probability
  Returns the sum of the terms `k+1` to `Infinity` of the Poisson distribution.
polevl(double, double[], int) - Static method in class cern.jet.math.Polynomial
  Evaluates the given polynomial of degree `N` at `x`.
pooledMean(int, double, int, double) - Static method in class cern.jet.stat.Descriptive
  Returns the pooled mean of two data sequences.
pooledVariance(int, double, int, double) - Static method in class cern.jet.stat.Descriptive
  Returns the pooled variance of two data sequences.
pow(DoubleMatrix1D, double) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = As <=> A[i] = Math.pow(A[i], s)`.
pow(DoubleMatrix1D, DoubleMatrix1D) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = AB <=> A[i] = Math.pow(A[i], B[i])`.
pow(DoubleMatrix2D, double) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = As <=> A[row,col] = Math.pow(A[row,col], s)`.
pow(DoubleMatrix2D, DoubleMatrix2D) - Static method in class cern.colt.matrix.doublealgo.Transform
  Deprecated. `A = AB <=> A[row,col] = Math.pow(A[row,col], B[row,col])`.
pow(DoubleMatrix2D, int) - Method in class cern.colt.matrix.linalg.Algebra
  Linear algebraic matrix power; `B = Ak <==> B = A*A*...*A`.
pow - Static variable in class cern.jet.math.Functions
  Function that returns `Math.pow(a,b)`.
pow(double) - Static method in class cern.jet.math.Functions
  Constructs a function that returns `Math.pow(a,b)`.
pow - Static variable in class cern.jet.math.IntFunctions
  Function that returns `(int) Math.pow(a,b)`.
pow(int) - Static method in class cern.jet.math.IntFunctions
  Constructs a function that returns `(int) Math.pow(a,b)`.
print(int) - Method in class cern.jet.random.engine.RandomSeedGenerator
  Prints the next `size` generated seeds.
printf(String, double) - Static method in class corejava.Format
  prints a formatted number following printf conventions
printf(String, int) - Static method in class corejava.Format
  prints a formatted number following printf conventions
printf(String, long) - Static method in class corejava.Format
  prints a formatted number following printf conventions
printf(String, char) - Static method in class corejava.Format
  prints a formatted number following printf conventions
printf(String, String) - Static method in class corejava.Format
  prints a formatted number following printf conventions
product(int, double) - Static method in class cern.jet.stat.Descriptive
  Returns the product, which is `Prod( data[i] )`.
product(DoubleArrayList) - Static method in class cern.jet.stat.Descriptive
  Returns the product of a data sequence, which is `Prod( data[i] )`.
product() - Method in class hep.aida.bin.MightyStaticBin1D
  Returns the product, which is `Prod( x[i] )`.
projectionX() - Method in interface hep.aida.IHistogram2D
  Create a projection parallel to the X axis.
projectionXY() - Method in interface hep.aida.IHistogram3D
  Create a projection parallel to the XY plane.
projectionXZ() - Method in interface hep.aida.IHistogram3D
  Create a projection parallel to the XZ plane.
projectionY() - Method in interface hep.aida.IHistogram2D
  Create a projection parallel to the Y axis.
projectionYZ() - Method in interface hep.aida.IHistogram3D
  Create a projection parallel to the YZ plane.
property() - Method in class cern.colt.matrix.linalg.Algebra
  Returns the property object attached to this Algebra, defining tolerance.
proton_mass_c2 - Static variable in class cern.clhep.PhysicalConstants
put(int, int, boolean) - Method in class cern.colt.bitvector.BitMatrix
  Sets the bit at the specified coordinate to the state specified by `value`.
put(int, boolean) - Method in class cern.colt.bitvector.BitVector
  Sets the bit with index `bitIndex` to the state specified by `value`.
put(long[], int, boolean) - Static method in class cern.colt.bitvector.QuickBitVector
  Sets the bit with index `bitIndex` in the bitvector `bits` to the state specified by `value`.
put(double, int) - Method in class cern.colt.map.AbstractDoubleIntMap
  Associates the given key with the given value.
put(int, double) - Method in class cern.colt.map.AbstractIntDoubleMap
  Associates the given key with the given value.
put(int, int) - Method in class cern.colt.map.AbstractIntIntMap
  Associates the given key with the given value.
put(int, Object) - Method in class cern.colt.map.AbstractIntObjectMap
  Associates the given key with the given value.
put(long, Object) - Method in class cern.colt.map.AbstractLongObjectMap
  Associates the given key with the given value.
put(double, int) - Method in class cern.colt.map.OpenDoubleIntHashMap
  Associates the given key with the given value.
put(int, double) - Method in class cern.colt.map.OpenIntDoubleHashMap
  Associates the given key with the given value.
put(int, int) - Method in class cern.colt.map.OpenIntIntHashMap
  Associates the given key with the given value.
put(int, Object) - Method in class cern.colt.map.OpenIntObjectHashMap
  Associates the given key with the given value.
put(long, Object) - Method in class cern.colt.map.OpenLongObjectHashMap
  Associates the given key with the given value.
putLongFromTo(long, int, int) - Method in class cern.colt.bitvector.BitVector
  Sets bits of the receiver from index `from` to index `to` to the bits of `value`.
putLongFromTo(long[], long, int, int) - Static method in class cern.colt.bitvector.QuickBitVector
  Sets bits of a bitvector from index `from` to index `to` to the bits of `value`.
putQuick(int, int, boolean) - Method in class cern.colt.bitvector.BitMatrix
  Sets the bit at the specified coordinate to the state specified by `value`; WARNING: Does not check preconditions.
putQuick(int, boolean) - Method in class cern.colt.bitvector.BitVector
  Sets the bit with index `bitIndex` to the state specified by `value`; WARNING: Does not check preconditions.

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