
Undocumented
Declaration
Swift
public init()

Tables’ data source
Declaration
Swift
public var dataSource: TablesDataSource?

Tables’ delegate
Declaration
Swift
public var delegate: TablesDelegate?

Declaration
Swift
public enum TablesError : Error

Absolute value of a number
Parameters
number

ArcCosinus of a number.
Parameters
number
Any
BigDouble
less than 2pi 
Hyperbolic ArcCosinus of a number.
Parameters
number
Any
BigDouble

ArcCotangent of a number.
Parameters
number
Any
BigDouble
less than 2pi 
Hyperbolic ArcCotangent of a number.
Parameters
number
Any
BigDouble

ArcSinus of a number.
Parameters
number
Any
BigDouble
less than 2pi 
Hyperbolic ArcSinus of a number.
Parameters
number
Any
BigDouble

ArcTangent of a number.
Parameters
number
Any
BigDouble

ATAN2(Y,X) returns the fourquadrant inverse tangent (tan1) of Y and X, which must be real. The atan2 function follows the convention that atan2(x,x) returns 0 when x is mathematically zero (either 0 or 0).
Parameters
n1
Y coordinate
n2
X coordinate

Hyperbolic ArcTangent of a number.
Parameters
number
Any
BigDouble

Convert number to any base
Parameters
number
The number you want to use
radix
The base / radix

Returns number rounded up, away from zero, to the nearest multiple of significance.
For example, if you want to avoid using pennies in your prices and your product is priced at $4.42, use the formula
=CEILING(4.42,0.05)
to round prices up to the nearest nickel.Declaration
Parameters
number
The number you want to use
significance
The multiple to which you want to round.
mode
Either 0 or 1 (0 by default, flooring). It will choose between flooring or ceiling the number if it’s negative.

Returns the number of combinations for a given number of items. Use COMBIN to determine the total possible number of groups for a given number of items.
It uses combinations with repetitions:
n! / (k! * (n  k)!)
Parameters
n
The number of items.
k
The number of items in each combination.

Returns the number of combinations (with repetitions) for a given number of items.
It uses combinations with repetitions:
(n + k  1)! / (k! * (n  1)!)
Parameters
n
The number of items.
k
The number of items in each combination.

Cosinus of a number.
Parameters
number
Any
BigDouble
less than 2pi 
Hyperbolic Cosinus of a number.
Parameters
number
Any
BigDouble

Cotangent of a number.
Parameters
number
Any
BigDouble

Hyperbolic Cotangent of a number.
Parameters
number
Any
BigDouble

Cosecant of a number.
Parameters
number
Any
BigDouble

Hyperbolic Cosecant of a number.
Parameters
number
Any
BigDouble

Converts a text representation of a number in a given base into a decimal number.
Declaration
Swift
func DECIMAL(_ str: String, _ radix: Int) > BigNumber
Parameters
str
Required
radix
Radix must be an integer.

Converts radians into degrees.
Parameters
rad
The angle in radians that you want to convert.

Returns number rounded up to the nearest even integer.
You can use this function for processing items that come in twos. For example, a packing crate accepts rows of one or two items. The crate is full when the number of items, rounded up to the nearest two, matches the crate’s capacity.
Parameters
number
The value to round.

Returns e raised to the power of number. The constant e equals 2.71828182845904, the base of the natural logarithm.
Parameters
number
The exponent applied to the base e.

Returns the factorial of a number. The factorial of a number is equal to
1*2*3*...*
number.Parameters
int
The nonnegative number for which you want the factorial. If number is not an integer, it is truncated.

Returns the double factorial of a number. The factorial of a number is equal to
1*2*3*...*
number.Parameters
int
The value for which to return the double factorial. If number is not an integer, it is truncated.

Rounds number down, toward zero, to the nearest multiple of significance.
For example, if you want to avoid using pennies in your prices and your product is priced at $4.42, use the formula
=FLOOR(4.42,0.05)
to round prices up to the nearest nickel.Declaration
Parameters
number
The numeric value you want to round.
significance
The multiple to which you want to round.
mode
Either 0 or 1 (0 by default, ceiling). It will choose between flooring or ceiling the number if it’s negative.

Returns the greatest common divisor of two or more integers.
The greatest common divisor is the largest integer that divides both number1 and number2 without a remainder.
Parameters
n
Number1 and 2 are required, subsequent numbers are optional. 1 to 255 values. If any value is not an integer, it is truncated.

Returns the greatest common divisor of two or more integers.
The greatest common divisor is the largest integer that divides both number1 and number2 without a remainder.
Parameters
n
Number1 and 2 are required, subsequent numbers are optional. 1 to 255 values. If any value is not an integer, it is truncated.

Rounds a number down to the nearest integer.
Parameters
n
The real number you want to round down to an integer.

Returns the least common multiple of integers. The least common multiple is the smallest positive integer that is a multiple of all integer arguments number1, number2, and so on. Use LCM to add fractions with different denominators.
Parameters
n
Number1 and 2 are required, subsequent numbers are optional. 1 to 255 values. If any value is not an integer, it is truncated.

Returns the least common multiple of integers. The least common multiple is the smallest positive integer that is a multiple of all integer arguments number1, number2, and so on. Use LCM to add fractions with different denominators.
Parameters
n
Number1 and 2 are required, subsequent numbers are optional. 1 to 255 values. If any value is not an integer, it is truncated.

Returns the natural logarithm of a number. Natural logarithms are based on the constant e (2.71828182845904)
LN is the inverse of the EXP function.
Parameters
n
The positive real number for which you want the natural logarithm.

Returns the logarithm of a number to the base you specify.
Parameters
n
The positive real number for which you want the logarithm.
base
The base of the logarithm. If base is omitted, it is assumed to be 10.

Returns the logarithm base 10
Parameters
n
The positive real number for which you want the logarithm.

Returns the matrix determinant
Parameters
lhs
The
Matrix
you want to use. 
The MINVERSE function returns the inverse matrix for a matrix stored in a
Matrix
object (Tables will convert that when using the parser).Parameters
m
A numeric Matrix with an equal number of rows and columns.

The MMULT function returns the matrix product of two
Matrix
. The result is an array with the same number of rows as lhs and the same number of columns as rhs. 
MROUND returns a number rounded to the desired multiple.
Parameters
n
The value to round.
m
The multiple to which you want to round number.

Returns the remainder after number is divided by divisor.
The result has the same sign as divisor.
Parameters
a
The number for which you want to find the remainder.
b
The number by which you want to divide number.

Returns the ratio of the factorial of a sum of values to the product of factorials.
Parameters
numbers
Number1 is required, subsequent numbers are optional. 1 to 255 values for which you want the multinomial.

Returns the ratio of the factorial of a sum of values to the product of factorials.
Parameters
numbers
Number1 is required, subsequent numbers are optional. 1 to 255 values for which you want the multinomial.

Returns number rounded up to the nearest odd integer.
Regardless of the sign of number, a value is rounded up when adjusted away from zero. If number is an odd integer, no rounding occurs.
Parameters
n
The value to round.

Returns the mathematical constant
Originally defined as the ratio of a circle’s circumference to its diameter, it now has various equivalent definitions and appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159. It has been represented by the Greek letter “π” since the mid18th century, though it is also sometimes spelled out as “pi”. It is also called Archimedes’ constant.
Declaration
Swift
func PI() > BigDouble

Returns the result of a number raised to a power.
Let’s say you want to calculate an extremely small tolerance level for a machined part or the vast distance between two galaxies. To raise a number to a power, use the POWER function.
The “^” operator can be used instead of POWER to indicate to what power the base number is to be raised, such as in 5^2.
Parameters
a
The base number. It can be any real number.
b
The exponent to which the base number is raised.

The PRODUCT function multiplies all the numbers given as arguments and returns the product. For example, if cells A1 and A2 contain numbers, you can use the formula =PRODUCT(A1, A2) to multiply those two numbers together. You can also perform the same operation by using the multiply (*) mathematical operator; for example, =A1 * A2. The PRODUCT function is useful when you need to multiply many cells together. For example, the formula =PRODUCT(A1:A3, C1:C3) is equivalent to =A1 * A2 * A3 * C1 * C2 * C3.
Parameters
ns
The first number or range that you want to multiply. Continue by adding additional numbers or ranges that you want to multiply, up to a maximum of 255 arguments.

The PRODUCT function multiplies all the numbers given as arguments and returns the product. For example, if cells A1 and A2 contain numbers, you can use the formula =PRODUCT(A1, A2) to multiply those two numbers together. You can also perform the same operation by using the multiply (*) mathematical operator; for example, =A1 * A2. The PRODUCT function is useful when you need to multiply many cells together. For example, the formula =PRODUCT(A1:A3, C1:C3) is equivalent to =A1 * A2 * A3 * C1 * C2 * C3.
Parameters
ns
The first number or range that you want to multiply. Continue by adding additional numbers or ranges that you want to multiply, up to a maximum of 255 arguments.

Returns the integer portion of a division. Use this function when you want to discard the remainder of a division.
Tip: If you want to divide numeric values, you should use the “/” operator as there isn’t a DIVIDE function in
Euler.Tables
. For example, to divide 5 by 2, you would type =5/2 into a cell, which returns 2.5. The QUOTIENT function for these same numbers =QUOTIENT(5,2) returns 2, since QUOTIENT doesn’t return a remainder.Parameters
numerator
The dividend.
denominator
The divisor.

Converts degrees to radians.
Parameters
angle
An angle in degrees that you want to convert.

RAND returns an evenly distributed random real number greater than or equal to 0 and less than 1.
A new random real number is returned every time the worksheet is calculated.
Declaration
Swift
func RAND() > BigDouble

Returns a random integer number between the numbers you specify. A new random integer number is returned every time the worksheet is calculated.
Parameters
a
The smallest integer RANDBETWEEN will return.
b
The largest integer RANDBETWEEN will return.

The ROUND function rounds a number to a specified number of digits.
For example, if cell A1 contains 23.7825, and you want to round that value to two decimal places, you can use the following formula:
=ROUND(A1, 2)
The result of this function is 23.78. If
digits
is greater than 0 (zero), then number is rounded to the specified number of decimal places.  If
digits
is 0, the number is rounded to the nearest integer.  If
digits
is less than 0, the number is rounded to the left of the decimal point.  To always round up (away from zero), use the ROUNDUP function.
 To always round down (toward zero), use the ROUNDDOWN function.
 To round a number to a specific multiple (for example, to round to the nearest 0.5), use the MROUND function.
Parameters
n
The number that you want to round.
digits
The number of digits to which you want to round the number argument.
 If

Rounds a number down, toward zero.
Parameters
n
Any real number that you want rounded down.
digits
The number of digits to which you want to round number.

Rounds a number up, away from zero.
Parameters
n
Any real number that you want rounded up.
digits
The number of digits to which you want to round number.

Returns the secant of an angle.
Parameters
n
Number is the angle in radians for which you want the secant.

Returns the hyperbolic secant of an angle.
Parameters
n
Number is the angle in radians for which you want the hyperbolic secant.

Many functions can be approximated by a power series expansion. Returns the sum of a power series based on the formula:
SERIES(x, n, m, a)=a_1x^n+a_2x^{n+m}+…+a_ix^{n+(i1)m}Declaration
Parameters
x
The input value to the power series.
n
The initial power to which you want to raise x.
m
The step by which to increase n for each term in the series.
coefficients
A set of coefficients by which each successive power of x is multiplied. The number of values in coefficients determines the number of terms in the power series. For example, if there are three values in coefficients, then there will be three terms in the power series.

Many functions can be approximated by a power series expansion. Returns the sum of a power series based on the formula:
SERIES(x, n, m, a)=a_1x^n+a_2x^{n+m}+…+a_ix^{n+(i1)m}Declaration
Parameters
x
The input value to the power series.
n
The initial power to which you want to raise x.
m
The step by which to increase n for each term in the series.
coefficients
A set of coefficients by which each successive power of x is multiplied. The number of values in coefficients determines the number of terms in the power series. For example, if there are three values in coefficients, then there will be three terms in the power series.

Determines the sign of a number. Returns 1 if the number is positive, zero (0) if the number is 0, and 1 if the number is negative.
Parameters
n
Any real number.

Sinus function
Parameters
n
Any real less than 2pi

Hyperbolic sinus function
Parameters
n
Any real

Returns a positive square root.
Parameters
n
The number for which you want the square root.

Returns a positive nth root.
Parameters
n
The number for which you want the square root.
base
The nth root (ex: 2, 3,…).

Returns the square root of (number * pi).
Parameters
n
The number by which pi is multiplied.

Add 2 numbers
Parameters
a
Any real
b
Any real

Substract 2 numbers
Parameters
a
Any real
b
Any real

Divide 2 numbers
Parameters
a
Any real
b
Any real

Multiply 2 numbers
Parameters
a
Any real
b
Any real

Greater than or equal (
>=
) 
Less than (
<
) 
Less than or equal (
<=
) 
Equal (
==
) 
Not equal (
==
) 
Returns the result of a number raised to a power. Same as
POWER
Let’s say you want to calculate an extremely small tolerance level for a machined part or the vast distance between two galaxies. To raise a number to a power, use the POWER function.
The “^” operator can be used instead of POWER to indicate to what power the base number is to be raised, such as in 5^2.
Parameters
a
The base number. It can be any real number.
b
The exponent to which the base number is raised.

The SUM function adds values.
Parameters
n
The numbers you want to sum

The SUM function adds values.
Parameters
n
The numbers you want to sum

The SUMPRODUCT function returns the sum of the products of corresponding ranges or arrays.
Example:
SUMPRODUCT([1, 2, 3], [2, 3, 4]) //= 20
Parameters
a
An array of numbers

The SUMPRODUCT function returns the sum of the products of corresponding ranges or arrays.
Example:
SUMPRODUCT([1, 2, 3], [2, 3, 4]) //= 20
Parameters
a
An array of numbers

Returns the sum of the squares of the arguments.
Parameters
n
The numbers you want to square and sum

Returns the sum of the squares of the arguments.
Parameters
n
The numbers you want to square and sum

Returns the sum of the difference of squares of corresponding values in two arrays.
Parameters
a1
List of number
a2
List of number

Returns the sum of the sum of squares of corresponding values in two arrays. The sum of the sum of squares is a common term in many statistical calculations.
Parameters
a1
List of number
a2
List of number

Returns the sum of squares of differences of corresponding values in two arrays.
Parameters
a1
List of number
a2
List of number

Tangent of a number.
Parameters
number
Any
BigDouble
less than 2pi 
Hyperbolic Tangent of a number.
Parameters
number
Any
BigDouble

Truncates a number to an integer by removing the fractional part of the number.
Parameters
number
The number you want to truncate.
digits
Optional. A number specifying the precision of the truncation.

The DATE function returns the sequential serial number that represents a particular date.
Declaration
Swift
func DATE(_ year: Int, _ month: Int, _ day: Int) throws > BigDouble
Parameters
year
The year of your date
month
The month of your date
day
The day of your date
Return Value
Serial Date

The DATEVALUE function converts a date that is stored as text to a serial number.
For example, the formula =DATEVALUE(“1/1/2008”) returns 39448, the serial number of the date 1/1/2008. Remember, though, that your computer’s system date setting may cause the results of a DATEVALUE function to vary from this example The DATEVALUE function is helpful in cases where a worksheet contains dates in a text format that you want to filter, sort, or format as dates, or use in date calculations.
Declaration
Swift
func DATEVALUE(_ str: String) throws > BigDouble
Parameters
str
Text that represents a date in an Euler date format, or a reference to a cell that contains text that represents a date in an Euler date format. For example, “1/30/2008” is a text string within quotation marks that represent a date.
Return Value
Serial Date

YEARFRAC calculates the fraction of the year represented by the number of whole days between two dates (the start and the end).
For instance, you can use YEARFRAC to identify the proportion of a whole year’s benefits, or obligations to assign to a specific term.
Declaration
Parameters
start
A date that represents the start date.
end
A date that represents the end date.
basis
The type of day count basis to use.
Return Value
The proportion of the year

Converts a binary number to decimal.
Throws
If number isn’t composed of 1s or 0s, the function will failParameters
number
Input number to be converted (has to be composed of 1s and 0s)
Return Value
The converted number

Converts a binary number to hexadecimal.
Throws
If number isn’t composed of 1s or 0s, the function will failDeclaration
Swift
func BIN2HEX(_ number: BigDouble) throws > String
Parameters
number
Input number to be converted (has to be composed of 1s and 0s)
Return Value
The converted number

Converts a binary number to octal.
Throws
If number isn’t composed of 1s or 0s, the function will failParameters
number
Input number to be converted (has to be composed of 1s and 0s)
Return Value
The converted number

Returns a bitwise ‘AND’ of two numbers.

Returns a bitwise ‘OR’ of two numbers.

Returns a bitwise ‘XOR’ of two numbers.

Returns a number shifted left by the specified number of bits.
Parameters
n
Number must be an integer greater than or equal to 0.
amount
Shift amount
Return Value
Number shifted to the left

Returns a number shifted right by the specified number of bits.
Parameters
n
Number must be an integer greater than or equal to 0.
amount
Shift amount
Return Value
Number shifted to the right

Converts a number from one measurement system to another. For example, CONVERT can translate a table of distances in miles to a table of distances in kilometers.
Declaration
Parameters
n
It is the value in
from_unit
units to convert.from_unit
It is the units for number.
to_unit
The units for the result.

Converts a decimal number to binary.
Parameters
number
Input number to be converted
Return Value
The converted number

Converts a decimal number to hexadecimal.
Declaration
Swift
func DEC2HEX(_ number: BigDouble) > String
Parameters
number
Input number to be converted
Return Value
The converted number

Converts a decimal number to octal.
Parameters
number
Input number to be converted
Return Value
The converted number

Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise. Use this function to filter a set of values. For example, by summing several DELTA functions you calculate the count of equal pairs. This function is also known as the Kronecker Delta function.
Parameters
number1
Any number
number2
Any number
Return Value
Returns 1 if number1 = number2; returns 0 otherwise

Converts an hexadecimal number to binary
Declaration
Swift
func HEX2BIN(_ str: String) throws > BigInt
Parameters
number
Input number to be converted
Return Value
The converted number

Converts an hexadecimal number to decimal
Declaration
Swift
func HEX2DEC(_ str: String) throws > BigInt
Parameters
number
Input number to be converted
Return Value
The converted number

Converts an hexadecimal number to octal
Declaration
Swift
func HEX2OCT(_ str: String) throws > BigInt
Parameters
number
Input number to be converted
Return Value
The converted number

Returns the accrued interest for a security that pays periodic interest.
Throws
TablesError
Declaration
Parameters
issue
The security’s issue date.
first
The security’s first interest date.
settlement
The security’s settlement date. The security settlement date is the date after the issue date when the security is traded to the buyer.
rate
The security’s annual coupon rate.
par
The security’s par value. If you omit par, ACCRINT uses $1,000.
frequency
The number of coupon payments per year. For annual payments, frequency = 1; for semiannual, frequency = 2; for quarterly, frequency = 4.
basis
The type of day count basis to use.
Return Value
Accrued interest for a security that pays periodic interest

AND operator.
If argument list contains a false statement, it returns false, otherwise it returns true
Declaration
Swift
func AND(_ b: Bool...) > Bool

AND operator.
If argument list contains a false statement, it returns false, otherwise it returns true
Declaration
Swift
func AND(_ b: [Bool]) > Bool

Use CHOOSE to select one of up to 256 values based on the index number.
For example, if value1 through value7 are the days of the week, CHOOSE returns one of the days when a number between 1 and 7 is used as i.
Declaration
Swift
func CHOOSE<T>(_ i: Int, _ b: T...) throws > T
Parameters
i
Specifies which value argument is selected.
b
1 to 254 value arguments from which CHOOSE selects a value or an action to perform based on index.

Use CHOOSE to select one of up to 256 values based on the index number.
For example, if value1 through value7 are the days of the week, CHOOSE returns one of the days when a number between 1 and 7 is used as i.
Declaration
Swift
func CHOOSE<T>(_ i: Int, _ b: [T]) throws > T
Parameters
i
Specifies which value argument is selected.
b
1 to 254 value arguments from which CHOOSE selects a value or an action to perform based on index.

The IF function allows you to make a logical comparison between a value and what you expect by testing for a condition and returning a result if that condition is True or False.
Declaration
Swift
func IF<T>(_ c: Bool, _ a: T, _ b: T) > T
Parameters
c
Condition
a
Value to return if
c
is trueb
Value to return if
c
is false 
OR operator.
If argument list contains at least one true statement, it returns true, otherwise it returns false
Declaration
Swift
func OR(_ b: Bool...) > Bool

OR operator.
If argument list contains at least one true statement, it returns true, otherwise it returns false
Declaration
Swift
func OR(_ b: [Bool]) > Bool

The XOR function returns a logical Exclusive Or of all arguments.
Declaration
Swift
func XOR(_ b: Bool...) > Bool
Parameters
b
Conditions

The XOR function returns a logical Exclusive Or of all arguments.
Declaration
Swift
func XOR(_ b: [Bool]) > Bool
Parameters
b
Conditions

Returns the average of the absolute deviations of data points from their mean. AVEDEV is a measure of the variability in a data set.

Returns the average (arithmetic mean) of the arguments. For example, if the range A1:A20 contains numbers, the formula
=AVERAGE(A1:A20)
returns the average of those numbers. 
The CORREL function returns the correlation coefficient of two arrays. Use the correlation coefficient to determine the relationship between two properties. For example, you can examine the relationship between a location’s average temperature and the use of air conditioners.
Parameters
array1
A an array of values
array2
A an array of values
Return Value
Correlation coefficient of two arrays

Counts the element of the given array
Declaration
Swift
func COUNT(_ array: [Any]) > Int
Parameters
array
Any array composed of random elements
Return Value
Counted value

Counts the unique element of the given array
Declaration
Swift
func COUNTUNIQUE(_ array: [AnyHashable]) > Int
Parameters
array
Any array composed of random
Hashable
elementsReturn Value
Counted value

Returns the sum of squares of deviations of data points from their sample mean.

Returns the Fisher transformation at x. This transformation produces a function that is normally distributed rather than skewed. Use this function to perform hypothesis testing on the correlation coefficient.

Returns the inverse of the Fisher transformation. Use this transformation when analyzing correlations between ranges or arrays of data. If y = FISHER(x), then FISHERINV(y) = x.

The gamma function (represented by \Gamma, the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the nonpositive integers. For any positive integer n: \Gamma (n)=(n1)!
Parameters
x
Any number
Return Value
The gamma function value.

Returns the natural logarithm of the gamma function, \Gamma (x).
Parameters
x
Any number

Integral of the Gauss function
Computed using:
\int_{0}^{x}\frac{1}{\sqrt{2\pi}}*e^{\frac{x^{2}}{2}}dx = \frac{1}{2}\cdot \operatorname{erf}\left( \frac{x}{\sqrt{2}} \right)Parameters
x
Any number

Returns the geometric mean.
In mathematics, the geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum). The geometric mean is defined as the nth root of the product of n numbers, i.e., for a set of numbers x_1, x_2, …, x_n, the geometric mean is defined as
\left(\prod_{i=1}^n x_i\right)^\frac{1}{n} = \sqrt[n]{x_1 x_2 \cdots x_n} 
Returns the harmonic mean
In mathematics, the harmonic mean (sometimes called the subcontrary mean) is one of several kinds of average, and in particular, one of the Pythagorean means. Typically, it is appropriate for situations when the average of rates is desired.
The harmonic mean can be expressed as the reciprocal of the arithmetic mean of the reciprocals of the given set of observations. As a simple example, the harmonic mean of 1, 4, and 4 is
\left(\frac{1^{1} + 4^{1} + 4^{1}}{3}\right)^{1} = \frac{3}{\frac{1}{1} + \frac{1}{4} + \frac{1}{4}} = \frac{3}{1.5} = 2 
Returns the kurtosis of a data set. Kurtosis characterizes the relative peakedness or flatness of a distribution compared with the normal distribution. Positive kurtosis indicates a relatively peaked distribution. Negative kurtosis indicates a relatively flat distribution.

Returns the maximum element in the sequence.
Parameters
array
Any
BigDouble
arrayReturn Value
The sequence’s maximum element. If the sequence has no elements, returns nil.

The median is the number in the middle of a set of numbers.
If there is an even number of numbers in the set, then MEDIAN calculates the average of the two numbers in the middle.
Parameters
array
Any
BigDouble
arrayReturn Value
The median of the given numbers.

Returns the minimum element in the sequence.
Parameters
array
Any
BigDouble
arrayReturn Value
The sequence’s minimum element. If the sequence has no elements, returns nil.

Returns the number of permutations for a given number of objects that can be selected from number objects.
A permutation is any set or subset of objects or events where internal order is significant. Permutations are different from combinations, for which the internal order is not significant. Use this function for lotterystyle probability calculations.
Declaration
Swift
func PERMUT(_ number: Int, _ numberChosen: Int) throws > BigInt
Parameters
number
An integer that describes the number of objects.
numberChosen
An integer that describes the number of objects in each permutation.

Phi function
Parameters
x
the number for which you want the density of the standard normal distribution.
Return Value
the value of the density function for a standard normal distribution.

Returns the kth percentile of values in a range. You can use this function to establish a threshold of acceptance. For example, you can decide to examine candidates who score above the 90th percentile.
Parameters
array
The array or range of data that defines relative standing.
percent
The percentile value in the range 0..1, exclusive.

Returns the skewness of a distribution. Skewness characterizes the degree of asymmetry of a distribution around its mean. Positive skewness indicates a distribution with an asymmetric tail extending toward more positive values. Negative skewness indicates a distribution with an asymmetric tail extending toward more negative values.

Returns a normalized value from a distribution characterized by mean and standard deviation.
Parameters
x
The value you want to normalize
mean
The arithmetic mean of the distribution
sd
The standard deviation of the distribution

Returns the standard deviation of the list
The standard deviation (SD, also represented by the lower case Greek letter sigma σ for the population standard deviation or the Latin letter s for the sample standard deviation) is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range.
Computed using:
\sigma = \sqrt{\frac{\sum_{}^{}(x\bar{x})^2}{n1}} 
Returns the variance of the list
In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean. Informally, it measures how far a set of (random) numbers are spread out from their average value.
Computed using:
V = \sigma^2 = \frac{\sum_{}^{}(x\bar{x})^2}{n1} 
Interprets the given command
Declaration
Swift
func interpret(command: String) throws > CellValue
Parameters
command
The command you want to execute. Example:
=SUM(1, 2, 3, 4)

Huge list of all Tables functions.
While this is public, it’s not intended for use.

Common Formulas Functions (for parser)

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