A growing list of functions that you can use in formulas and scripting...
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abs (x) – absolute value
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abs# (vector#) – absolute value of each element of vector#
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abs## (matrix##) – absolute value of each cell of matrix##
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appendFile (filePath$, ...) – write texts, numbers, vectors and so on at the end of an existing file (create such a file if it does not exist yet)
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appendFileLine (filePath$, ...) – write texts, numbers, vectors and so on, followed by a newline, at the end of an existing file (create such a file if it does not exist yet)
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arccos (x) – inverse cosine
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arccos# (vector#) – inverse cosine of each element of vector#
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arccos## (matrix##) – inverse cosine of each cell of matrix##
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arccosh (x) – inverse hyperbolic cosine
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arccosh# (vector#) – inverse hyperbolic cosine of each element of vector#
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arccosh## (matrix##) – inverse hyperbolic cosine of each cell of matrix##
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arcsin (x) – inverse sine
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arcsin# (vector#) – inverse sine of each element of vector#
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arcsin## (matrix##) – inverse sine of each cell of matrix##
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arcsinh (x) – inverse hyperbolic sine
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arcsinh# (vector#) – inverse hyperbolic sine of each element of vector#
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arcsinh## (matrix##) – inverse hyperbolic sine of each cell of matrix##
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arctan (x) – inverse tangent
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arctan# (vector#) – inverse tangent of each element of vector#
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arctan## (matrix##) – inverse tangent of each cell of matrix##
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arctanh (x) – inverse hyperbolic tangent
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arctanh# (vector#) – inverse hyperbolic tangent of each element of vector#
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arctanh## (matrix##) – inverse hyperbolic tangent of each cell of matrix##
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backslashTrigraphsToUnicode$ (string$) – convert e.g. \ct to ɔ
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barkToHertz (x) – from Bark-rate to acoustic frequency
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besselI (n, x) – modified Bessel function of the first kind, In
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besselK (n, x) – modified Bessel function of the second kind, Kn
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beta (x, y) – β function
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between_by# (low, high, step) – symmetrically dispersed numbers between low and high, in steps of step
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between_count# (low, high, n) – n symmetrically dispersed numbers between low and high (bin centres)
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binomialP (p, k, n) – probability of Bernoulli event occurring at most k in n times
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binomialQ (p, k, n) – probability of Bernoulli event occurring at least k in n times
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ceiling (x) – round up to integer
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ceiling# (vector#) – round up each element of vector#
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ceiling## (matrix##) – round up each cell of matrix##
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center (v#) – center (or centre) of gravity
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chiSquareP (chiSquare, df) – area under the χ2 curve up to chiSquare
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chiSquareQ (chiSquare, df) – area under the χ2 curve after chiSquare
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chooseFolder$ (title$) – pops up a folder selection window
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chooseReadFile$ (title$) – pops up a file selection window for opening (or appending to) an existing file
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chooseWriteFile$ (title$, defaultFilename$) – pops up a file selection window for saving to a new file
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columnSums# (matrix##)
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cos (x) – cosine
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cos# (vector#) – cosine of each element of vector#
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cos## (matrix##) – cosine of each cell of matrix##
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cosh (x) – hyperbolic cosine
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cosh# (vector#) – hyperbolic cosine of each element of vector#
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cosh## (matrix##) – hyperbolic cosine of each cell of matrix##
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createFolder (folderPath$) – create a new folder, or do nothing if it already exists
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date$ ( ) – current local date and time in the form "Mon Nov 8 16:32:42 2021"
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date# ( ) – current local date and time in the form { 2021, 11, 8, 16, 32, 42 }
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date_utc$ ( ) – current standard date and time in the form "Mon Nov 8 15:32:42 2021"
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date_utc# ( ) – current standard date and time in the form { 2021, 11, 8, 15, 32, 42 }
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deleteFile (filePath$) – delete a file, or do nothing if it does not exist
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differenceLimensToPhon (x) – from jnd-scale to perceptual loudness
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endsWith (string$, part$) – determine whether string$ ends in part$
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erb (f) – equivalent rectangular bandwidth for frequency f
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erbToHertz (x) – from ERB-rate to acoustic frequency
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erf (x) – error function, the integral of the Gaussian
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erfc (x) – complement of the error function, i.e. 1 - erf (x); this is a separate function because erf (x) can be close to 1
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exp (x) – exponentiation, i.e. ex
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exp# (vector#) – exponentiate each element of vector#
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exp## (matrix##) – exponentiate each cell of matrix##
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extractLine$ (string$, part$) – everything that comes after the first occurrence of part$ in string$
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extractNumber (string$, part$) – the first number after the first occurrence of part$ in string$
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extractWord$ (string$, part$) – the first "word" after the first occurrence of part$ in string$
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fileNames$# (folderNameOrPattern$) – get the names (not the whole paths) of the files in a folder or that match a pattern with an asterisk
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fileReadable (filePath$) – 1 if the file exists and can be read, 0 otherwise
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fisherP (f, df1, df2) – area under the Fisher F curve up to f
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fisherQ (f, df1, df2) – area under the Fisher F curve after f
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fixed$ (number, precision) – format a number as a string, with precision digits after the decimal point
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floor (x) – round down to integer
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floor# (vector#) – round down each element of vector#
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floor## (matrix##) – round down each cell of matrix##
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folderNames$# (folderNameOrPattern$) – get the names (not the whole paths) of the subfolders in a folder or that match a pattern with an asterisk
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from_to# (m, n) – the integers from m through n
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from_to_by# (m, n, step) – numbers from m through n, in steps of step
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from_to_count# (start, end, n) – n numbers from start through end
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gaussP (z) – area under the normal curve up to z
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gaussQ (z) – area under the normal curve after z
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hertzToBark (x) – from acoustic frequency to Bark-rate
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hertzToErb (x) – from acoustic frequency to ERB-rate
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hertzToMel (x) – from acoustic frequency to mel
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hertzToSemitones (x) – from acoustic frequency to logarithmic scale re 100 Hz
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imax (x, ...) – location of the maximum
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imin (x, ...) – location of the minimum
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index (string$, part$) – look up a substring, or 0 if not found
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index (strings$#, s$) – look up whether and where s$ first occurs in strings$#
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index_regex (string$, regex$) – determine whether and where string$ first matches regex$
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inner (a#, b#) – inner product
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invBinomialP (P, k, n) – inverse of binomialP
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invBinomialQ (Q, k, n) – inverse of binomialQ
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invChiSquareQ (q, df) – inverse of chiSquareQ
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invFisherQ (q, df1, df2) – inverse of fisherQ
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invGaussQ (z) – inverse of gaussQ
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invSigmoid (x) – inverse sigmoid
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invSigmoid# (vector#) – inverse sigmoid of each element of vector#
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invSigmoid## (matrix##) – inverse sigmoid of each cell of matrix##
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invStudentQ (q, df) – inverse studentQ
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left$ (string$, n) – the n first characters in string$
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length (string$) – number of Unicode characters in string$
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ln (x) – natural logarithm, base e
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ln# (vector#) – natural logarithm of each element of vector#
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ln## (matrix##) – natural logarithm of each cell of matrix##
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lnGamma (x) – logarithm of the Γ function
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log2 (x) – logarithm, base 2
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log2# (vector#) – base-2 logarithm of each element of vector#
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log2## (matrix##) – base-2 logarithm of each cell of matrix##
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log10 (x) – logarithm, base 10
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log10# (vector#) – base-10 logarithm of each element of vector#
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log10## (matrix##) – base-10 logarithm of each cell of matrix##
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max (x, ...) – maximum
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mean (v#) – average of the elements of a vector
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melToHertz (x) – from mel to acoustic frequency
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mid$ (string$, from, n) – the n characters in string$ starting at position from
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min (x, ...) – minimum
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mul## (a##, b##) – matrix multiplication
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number (a$) – interpret a string as a number
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number# (a$#) – interpret strings as numbers
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numberOfColumns (matrix##)
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numberOfRows (matrix##)
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outer## (a#, b#) – outer product, i.e. resultij = aibj
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percent$ (number, precision) – format a number as a string, with a trailing percent sign and precision digits after the decimal point
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phonToDifferenceLimens (x) – from perceptual loudness to jnd-scale
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randomBernoulli (p) – Bernoulli-distributed random deviate (0 or 1)
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randomBernoulli# (n, p) – n independent Bernoulli-distributed zeroes and ones
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randomGamma (shape, rate) – gamma-distributed random deviate
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randomGamma# (n, shape, rate) – n independent gamma-distributed random numbers
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randomGamma# (vector#, shape, rate) – duplicate vector#, and replace all elements with independent gamma-distributed random numbers
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randomGamma## (nrow, ncol, shape, rate) – nrow × ncol independent gamma-distributed random numbers
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randomGamma# (matrix##, shape, rate) – duplicate matrix#, and replace all cells with independent gamma-distributed random numbers
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randomGauss (μ, σ) – normally distributed random deviate
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randomGauss# (n, μ, σ) – n independent normally distributed random numbers
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randomGauss# (vector#, μ, σ) – duplicate vector#, and replace all elements with independent normally distributed random numbers
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randomGauss## (nrow, ncol, μ, σ) – nrow × ncol independent normally distributed random numbers
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randomGauss# (matrix##, μ, σ) – duplicate matrix#, and replace all cells with independent normally distributed random numbers
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randomInteger (min, max) – uniformly distributed integer random deviate
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randomInteger# (n, min, max) – n independent uniformly distributed random integers
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randomInteger# (vector#, min, max) – duplicate vector#, and replace all elements with independent uniformly distributed random integers
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randomInteger## (nrow, ncol, min, max) – nrow × ncol independent uniformly distributed random integers
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randomPoisson (mean) – Poisson-distributed random deviate
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randomPoisson# (n, mean) – n independent Poisson-distributed random numbers
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randomPoisson# (vector#, mean) – duplicate vector#, and replace all elements with independent Poisson-distributed random numbers
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randomPoisson## (nrow, ncol, mean) – nrow × ncol independent Poisson-distributed random numbers
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randomPoisson# (matrix##, mean) – duplicate matrix#, and replace all cells with independent Poisson-distributed random numbers
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randomUniform (min, max) – uniformly distributed random deviate
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randomUniform# (n, min, max) – n independent uniformly distributed random numbers
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randomUniform# (vector#, min, max) – duplicate vector#, and replace all elements with independent uniformly distributed random numbers
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randomUniform## (nrow, ncol, min, max) – nrow × ncol independent uniformly distributed random numbers
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randomUniform# (matrix##, min, max) – duplicate matrix#, and replace all cells with independent uniformly distributed random numbers
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random_initializeSafelyAndUnpredictably ( ) – undoes the effects of the following function
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random_initializeWithSeedUnsafelyButPredictably (seed) – reproducible sequence of random numbers
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readFile (filePath$) – read a number from a text file
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readFile$ (filePath$) – read a whole text file into a string
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readLinesFromFile$# (filePath$) – read all lines from a text file
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rectify (x) – set to zero if negative (no change if positive)
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rectify# (vector#) – rectify each element of vector#
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rectify## (matrix##) – rectify each cell of matrix##
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repeat# (v#, n) – repeat the whole sequence of elements of v# n times
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replace$ (a$, b$, c$, n) – within a$, replace the first n occurrences of b$ with c$, or all if n = 0
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replace_regex$ (a$, b$, c$, n) – within a$, replace the first n matches of regular expression b$ with the regular expression c$, or all if n = 0
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right$ (string$, n) – the n last characters in string$
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rindex (string$, part$) – look up a substring from the end, or 0 if not found
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rindex_regex (string$, regex$) – determine whether and where string$ last matches regex$
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round (x) – nearest integer
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round# (vector#) – nearest integer of each element of vector#
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round## (matrix##) – nearest integer of each cell of matrix##
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rowSums# (matrix##)
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semitonesToHertz (x) – from logarithmic scale re 100 Hz to acoustic frequency
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sigmoid (x) – 1 / (1 + e-x)
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sigmoid# (vector#) – sigmoid of each element of vector#
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sigmoid## (matrix##) – sigmoid of each cell of matrix##
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sin (x) – sine
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sin# (vector#) – sine of each element of vector#
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sin## (matrix##) – sine of each cell of matrix##
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sinc (x) – sinus cardinalis: sin (x) / x
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sincpi (x) – sin (πx) / (πx)
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sinh (x) – hyperbolic sine
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sinh# (vector#) – hyperbolic sine of each element of vector#
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sinh## (matrix##) – hyperbolic sine of each cell of matrix##
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size (v#) – number of elements
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shuffle# (vector#) – randomize order
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softmax# (vector#)
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softmaxPerRow## (matrix##)
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sort# (vector#) – reshuffle in increasing order
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splitByWhitespace$# (string$) – split a string into inks
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sqrt (x) – square root
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sqrt# (vector#) – square root of each element of vector#
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sqrt## (matrix##) – square root of each cell of matrix##
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startsWith (string$, part$) – determine whether string$ starts with part$
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stdev (v#) – standard deviation of the elements of a vector
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stopwatch – give the current value of the timer, which is then immediately reset to zero (note: no parentheses)
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string$ (number) – format a number as a string
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studentP (t, df) – area under the Student T curve up to t
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studentQ (t, df) – area under the Student T curve after t
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sum (v#) – sum the elements
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sumOver (loopVariable to n, numericExpressionOptionallyUsingLoopVariable) – Σ
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tan (x) – tangent
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tan# (vector#) – tangent of each element of vector#
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tan## (matrix##) – tangent of each cell of matrix##
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tanh (x) – hyperbolic tangent
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tanh# (vector#) – hyperbolic tangent of each element of vector#
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tanh## (matrix##) – hyperbolic tangent of each cell of matrix##
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to# (n) – the integers 1 through n
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transpose## (matrix##)
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unicode (c$) – the Unicode codepoint number that corresponds to character c$
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unicode$ (n) – the character that corresponds to Unicode codepoint n
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unicodeToBackslashTrigraphs$ (string$) – convert e.g. ɔ to \ct
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writeFile (filePath$, ...) – create a new text file, and write texts, numbers, vectors and so on into it
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writeFileLine (filePath$, ...) – create a new text file, write texts, numbers, vectors and so on into it, followed by a newline
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zero# (n) – vector with n elements that are all 0
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