AddIndices

Pairs each element of a list with its index

Antidiagonal

Give the antidiagonal of a matrix

AntidiagonalMatrix

Creates an antidiagonal matrix by given the antidiagonal

ArcsineLawRandomnessTest

Uses the arcsine law to assess the randomness of a sequence of zeros and ones

AssociatePairs

Convert a list of pairs into an association

AssociationKeyFlatten

Flatten keys in a nested association

AssociationMapAt

Similar to MapAt but with improved behavior for nested expressions involving associations

AssociationPartition

Partition an association into a list of associations

BayesianLinearRegression

Perform Bayesian linear regression with conjugate priors

BinaryRunRandomnessTest

Conducts a runs–based test on a sequence of zeros and ones

BinCountAssociation

Collect histogram data in an association of bin intervals and bin heights

BinListsBy

Bins data in to lists based on applying a function to each item.

BiPlot

Visualize the principal components of tabular data

BisectList

Make a pair of lists consisting of alternate terms from the original list

BoolEval

Fast vectorized evaluation of array inequalities

CanonicalListRotation

Return a canonical rotation for a list of values

ChiSquareRandomnessTest

Tests a sequence of 0s and 1s or a set of random reals between 0 and 1 for equidistribution and returns a p-value

ChordDiagram

Make a weighted connectivity graph using circular embedding

ConditionedMultinormalDistribution

Calculate conditional and marginal distributions of the multivariate normal distribution

ConstantAssociation

Create an association whose values are all a constant

ContainsQ

Determine whether an input expression contains one or more subexpressions (at any level) matching a given pattern

CorrespondingIntegers

Create a list of positive integers containing as many elements as the expression to which it is applied

CumulativeAverages

Calculate the cumulative averages of a list

CUSUMMaxRandomnessTest

Conducts a cumulative sum–based randomness test that creates a test statistic from the maximum value that a cumulative sums random walk achieves

DeleteAdjacentDuplicates

Delete adjacent duplicates from a list

DeleteCasesFrom

Remove all elements from the value of a symbol that match a pattern and reset the symbol to the result

DiracMatrix

Dirac matrices in any dimensions

Discard

Eliminate elements from a list for which a given conditional is True

DropColumn

Drop columns from matrices

DuplicatesList

Give the elements that appear more than once in the input list

EmptyQ

Test whether a structure can be considered empty

FindRanges

Find continuous ranges in a list of integers

GetKeyValuePattern

Creates a suitable KeyValuePattern from an example association

InShuffle

Perform an in shuffle on a list

InternetArchiveData

Search and import files from the Internet Archive

IntervalComplement

Calculate the complement of intervals

ItemCounts

A two-argument form of Counts that gives an association between a set of provided keys and the number of times those keys appear in a list

JoinMost

An operator that joins in front of its arguments the sequence of lists it is provided

JoinRest

An operator that performs a Join of its argument with the sequence of lists it is provided

KeyCombine

Map a function over the keys of an association, and collect or combine values in the event of key collisions

KeyIndex

Create an association indexed by a given key from a list of associations

KeyMapIf

Map a function conditionally over keys in an association

KeyReplace

Replace keys in an association

Loess

Smooth noisy data using local regression

LogSumExpLayer

Neural network layer that implements the LogSumExp operation on any level

LookupKeys

Look up a set of keys applying a function when a key is missing

MapLevel

Create an operator that maps a function over data at a specified level

MappedTransformedDistribution

Transform a statistical distribution by applying the same function to all of its arguments

MapReduceOperator

Like an operator form of GroupBy, but where one also specifies a reducer function to be applied

MultiNonlinearModelFit

Fit multiple datasets with multiple expressions that share parameters

MultipleAxesListPlot

A version of ListPlot which displays two list of data with different y axes

MultipleAxesPlot

Display different y axes for two plotted expressions

MultisetDiceDissimilarity

Compute the Dice dissimilarity of two multisets

MultisetJaccardDissimilarity

Compute the Jaccard dissimilarity of two multisets

MultisetSokalSneathDissimilarity

Compute the Sokal–Sneath dissimilarity of two multisets

NestedLookup

Look up a set of keys in order to get deeper parts of an association or list of rules

NInverseFourierTransform

Find a numerical approximation for the inverse Fourier transform

NPseudoVoigt

Fast numerical approximation to the PDF of the Voigt distribution with around 1.2% of maximum deviation

OEISSequence

Return the list provided by the OEIS for a given OEIS sequence number

OutShuffle

Perform an out shuffle on a list

PairwiseScatterPlot

Construct a scatter plot matrix

PermutationAscents

Give the indices of a permutation where there is an immediate ascent

PivotTable

A spreadsheet-like operation to collate data by values common to specified columns, summarizing corresponding values in a specified column

PointsToRules

Convert a list of points into a list of substitution rules

PopulationStandardDeviation

Compute the population standard deviation for a set of data

PopulationVariance

Compute the population variance for a set of data

PositionLargest

Get the position of the largest elements in a list

PositionLargestBy

The position of the elements in a list that are largest according to a given function

PowerSubdivide

Subdivide an interval such that the ratio of subsequent elements is constant

PrefixQ

Test if the first elements of a list are the same as those from another list

ProgressiveMaxPositions

Find the positions of the largest elements so far in a list

Proportions

Get the proportion of times that each distinct element appears in a list

ProportionsBy

Get the proportion of times that each distinct element appears in a list when evaluated with a given function

QueryTreeForm

Present a query as a tree

RadarChart

Show numerical data in a radar-style chart

RandomRealPoint

Randomly choose a point within a specified domain

Rarest

The rarest elements in a list

ReplaceAllOutside

Similar to ReplaceAll, but parts of the expression can be ignored by providing a pattern

ReplaceAt

Replace parts of an expression using replacement rules and a part specification

ResetDataset

Force a reanalysis of the types contained in a Dataset, sometimes leading to a different presentation of the data

RotateLeftUntil

Cycle the elements of a list to the left until a criterion is satisfied

RunCountRandomnessTest

Conduct a runs up–based randomness test on a sequence of random reals between 0 and 1

RunLengthRandomnessTest

Conduct a randomness test on a sequence of random reals between 0 and 1 using run lengths of increasing subsequences

SecondsToday

Fractional number of seconds that have elapsed since midnight

SelectFirstBy

Apply a function to a list and select the first that satisfies a test

SelectFirstIndex

Find the index of the first element satisfying a criterion

SelectIndices

Find indices of parts satisfying a criterion

SelectPositions

A function like Select that returns positions instead of values

SequenceGraph

Create a graph from a data sequence

SerialRandomnessTest

Conduct an empirically derived test that assesses randomness using the frequencies of serial combinations of 0s and 1s

SetPartitions

Give all possible ways to partition a set into blocks, ignoring the order of blocks and order within blocks

Slice

An operator form of Part

SortLike

Sort a list so that elements in common with another list are in the same order

SpectralRandomnessTest

Use a discrete cosine transform–based method to test the randomness of a sequence of random reals

SplitWhen

Split a list every time an element satisfies a test

TableQ

Similar to ArrayQ, except it allows for ragged collections of nested lists

TableToTrainingSet

Prepare rectangular data for use in machine learning functions Classify, Predict and NetTrain

TakeAfter

Take elements after a specified element in an expression

TakeBefore

Take elements before the specified element in an expression

TakeLarger

Take values larger than a threshold in a list or association

TakeSmaller

Take values smaller than a threshold in a list or association

TallyBy

Tally items that give the same value when a function is applied

TimeSeriesZero

Shift a time series to start at 0 seconds

ToAssociations

Recursively replace lists of rules with associations

TrimLeft

Shorten lists to the same length by removing elements from the left

TrimRight

Shorten lists to the same length by removing elements from the right

TwoSidedPValue

Find the probability of the absolute value of the test statistic being at least as extreme as the given value

UnionTo

Equivalent to Union but redefines the first argument to the result

UniqueCases

Similar to Cases, but removes duplicates

UnsortedComplement

Delete the elements of some lists from a list x without changing either the order of x or the multiplicities of its elements

Unthread

A partial inverse for Thread

ValueMap

Similar to AssociationMap but maps over a given set of values to obtain keys rather than vice versa

ValueMapIndexed

Create an association from a set of values, using a map-indexed function on those values to form the keys

VarianceAround

Calculate the variance of a list along with its uncertainty