Mathematical Functions /text/scalc/01/04060106.xhp mathematical functions Function Wizard; mathematical functions; mathematical functions trigonometric functions

Mathematical Functions

This category contains the Mathematical functions for Calc. To open the Function Wizard, choose Insert - Function.
ABS function absolute values values;absolute mw added two entries

ABS

Returns the absolute value of a number. ABS(Number) Number is the number whose absolute value is to be calculated. The absolute value of a number is its value without the +/- sign. =ABS(-56) returns 56. =ABS(12) returns 12. =ABS(0) returns 0.see also SIGN
ACOS function

ACOS

Returns the inverse trigonometric cosine of a number. ACOS(Number) This function returns the inverse trigonometric cosine of Number, that is the angle (in radians) whose cosine is Number. The angle returned is between 0 and PI. To return the angle in degrees, use the DEGREES function. =ACOS(-1) returns 3.14159265358979 (PI radians) =DEGREES(ACOS(0.5)) returns 60. The cosine of 60 degrees is 0.5.see also COS, SIN, TAN, COT, ASIN, ATAN, ATAN2, ACOT
ACOSH function

ACOSH

Returns the inverse hyperbolic cosine of a number. ACOSH(Number) This function returns the inverse hyperbolic cosine of Number, that is the number whose hyperbolic cosine is Number. Number must be greater than or equal to 1. =ACOSH(1) returns 0. =ACOSH(COSH(4)) returns 4.see also ASINH, ATANH, ACOTH, COSH, SINH, TANH, COTH
ACOT function

ACOT

Returns the inverse cotangent (the arccotangent) of the given number. ACOT(Number) This function returns the inverse trigonometric cotangent of Number, that is the angle (in radians) whose cotangent is Number. The angle returned is between 0 and PI. To return the angle in degrees, use the DEGREES function. =ACOT(1) returns 0.785398163397448 (PI/4 radians). =DEGREES(ACOT(1)) returns 45. The tangent of 45 degrees is 1.see also COS, SIN, TAN, COT, ACOS, ASIN, ATAN, ATAN2
ACOTH function

ACOTH

Returns the inverse hyperbolic cotangent of the given number. ACOTH(Number) This function returns the inverse hyperbolic cotangent of Number, that is the number whose hyperbolic cotangent is Number. An error results if Number is between -1 and 1 inclusive. =ACOTH(1.1) returns inverse hyperbolic cotangent of 1.1, approximately 1.52226.see also ACOSH, ASINH, ATANH, COSH, SINH, TANH, COTH

ASIN function

ASIN

Returns the inverse trigonometric sine of a number. ASIN(Number) This function returns the inverse trigonometric sine of Number, that is the angle (in radians) whose sine is Number. The angle returned is between -PI/2 and +PI/2. To return the angle in degrees, use the DEGREES function. =ASIN(0) returns 0. =ASIN(1) returns 1.5707963267949 (PI/2 radians). =DEGREES(ASIN(0.5)) returns 30. The sine of 30 degrees is 0.5.see also COS, SIN, TAN, COT, ACOS, ATAN, ATAN2, ACOT
ASINH function

ASINH

Returns the inverse hyperbolic sine of a number. ASINH(Number) This function returns the inverse hyperbolic sine of Number, that is the number whose hyperbolic sine is Number. =ASINH(-90) returns approximately -5.1929877. =ASINH(SINH(4)) returns 4.see also ACOSH, ATANH, ACOTH, COSH, SINH, TANH, COTH
ATAN function

ATAN

Returns the inverse trigonometric tangent of a number. ATAN(Number) This function returns the inverse trigonometric tangent of Number, that is the angle (in radians) whose tangent is Number. The angle returned is between -PI/2 and PI/2. To return the angle in degrees, use the DEGREES function. =ATAN(1) returns 0.785398163397448 (PI/4 radians). =DEGREES(ATAN(1)) returns 45. The tangent of 45 degrees is 1.see also COS, SIN, TAN, COT, ACOS, ASIN, ATAN2, ACOT
ATAN2 function

ATAN2

Returns the angle (in radians) between the x-axis and a line from the origin to the point (NumberX|NumberY). ATAN2(NumberX; NumberY) NumberX is the value of the x coordinate. NumberY is the value of the y coordinate. Programming languages have usually the opposite order of arguments for their atan2() function. ATAN2 returns the angle (in radians) between the x-axis and a line from the origin to the point (NumberX|NumberY) =ATAN2(-5;9) returns 2.07789 radians. To get the angle in degrees apply the DEGREES function to the result. =DEGREES(ATAN2(12.3;12.3)) returns 45. The tangent of 45 degrees is 1.see also COS, SIN, TAN, COT, ACOS, ASIN, ATAN, ACOT %PRODUCTNAME results 0 for ATAN2(0;0). The function can be used in converting cartesian coordinates to polar coordinates. =DEGREES(ATAN2(-8;5)) returns φ = 147.9 degrees Cartesian coordinates to polar coordinates example
ATANH function

ATANH

Returns the inverse hyperbolic tangent of a number. ATANH(Number) This function returns the inverse hyperbolic tangent of Number, that is the number whose hyperbolic tangent is Number. Number must obey the condition -1 < number < 1. =ATANH(0) returns 0.see also ACOSH, ASINH, ACOTH, COSH, SINH, TANH, COTH
COS function

COS

Returns the cosine of the given angle (in radians). COS(Number) Returns the (trigonometric) cosine of Number, the angle in radians. To return the cosine of an angle in degrees, use the RADIANS function. =COS(PI()*2) returns 1, the cosine of 2*PI radians. =COS(RADIANS(60)) returns 0.5, the cosine of 60 degrees.see also SIN, TAN, COT, ACOS, ASIN, ATAN, ATAN2, ACOT
COSH function

COSH

Returns the hyperbolic cosine of a number. COSH(Number) Returns the hyperbolic cosine of Number. =COSH(0) returns 1, the hyperbolic cosine of 0.see also SINH, TANH, COTH, ACOSH, ASINH, ATANH, ACOTH
COT function

COT

Returns the cotangent of the given angle (in radians). COT(Number) Returns the (trigonometric) cotangent of Number, the angle in radians. To return the cotangent of an angle in degrees, use the RADIANS function. The cotangent of an angle is equivalent to 1 divided by the tangent of that angle.

Examples:

=COT(PI()/4) returns 1, the cotangent of PI/4 radians. =COT(RADIANS(45)) returns 1, the cotangent of 45 degrees.see also COS, SIN, TAN, ACOS, ASIN, ATAN, ATAN2, ACOT
COTH function

COTH

Returns the hyperbolic cotangent of a given number (angle). COTH(Number) Returns the hyperbolic cotangent of Number. =COTH(1) returns the hyperbolic cotangent of 1, approximately 1.3130.see also COSH, SINH, TANH, ACOSH, ASINH, ATANH, ACOTH
CSC function

CSC

Returns the cosecant of the given angle (in radians). The cosecant of an angle is equivalent to 1 divided by the sine of that angle CSC(Number) Returns the (trigonometric) cosecant of Number, the angle in radians. To return the cosecant of an angle in degrees, use the RADIANS function. =CSC(PI()/4) returns approximately 1.4142135624, the inverse of the sine of PI/4 radians. =CSC(RADIANS(30)) returns 2, the cosecant of 30 degrees.see also SIN, TAN, COT, SEC, ACOS, ASIN, ATAN, ATAN2, ACOT
CSCH function

CSCH

Returns the hyperbolic cosecant of a number. CSCH(Number) Returns the hyperbolic cosecant of Number. =CSCH(1) returns approximately 0.8509181282, the hyperbolic cosecant of 1.see also SINH, TANH, COTH, SECH,ACOSH, ASINH, ATANH, ACOTH
DEGREES function converting;radians, into degrees mw added one entry

DEGREES

Converts radians into degrees. DEGREES(Number) Number is the angle in radians to be converted to degrees. =DEGREES(PI()) returns 180 degrees.see also RADIANS
EXP function

EXP

Returns e raised to the power of a number. The constant e has a value of approximately 2.71828182845904. EXP(Number) Number is the power to which e is to be raised. =EXP(1) returns 2.71828182845904, the mathematical constant e to Calc's accuracy.see also POWER, LN
FACT function factorials;numbers mw added one entry

FACT

Returns the factorial of a number. FACT(Number) Returns Number!, the factorial of Number, calculated as 1*2*3*4* ... * Number. =FACT(0) returns 1 by definition. The factorial of a negative number returns the "invalid argument" error. =FACT(3) returns 6. =FACT(0) returns 1.see also FACTDOUBLE, MULTINOMIAL, PRODUCT
INT function numbers;rounding down to next integer rounding;down to next integer mw added two entries

INT

Rounds a number down to the nearest integer. INT(Number) Returns Number rounded down to the nearest integer. Negative numbers round down to the integer below. =INT(5.7) returns 5. =INT(-1.3) returns -2.see also TRUNC, ROUND, ROUNDDOWN, ROUNDUP, CEILING, FLOOR, EVEN, ODD, MROUND
EVEN function numbers;rounding up/down to even integers rounding;up/down to even integers mw added two entries

EVEN

Rounds a positive number up to the next even integer and a negative number down to the next even integer. EVEN(Number) Returns Number rounded to the next even integer up, away from zero. =EVEN(2.3) returns 4. =EVEN(2) returns 2. =EVEN(0) returns 0. =EVEN(-0.5) returns -2.see also CEILING, FLOOR, ODD, MROUND, INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUP
GCD function greatest common divisor mw added one entry

GCD

Returns the greatest common divisor of two or more integers. The greatest common divisor is the positive largest integer which will divide, without remainder, each of the given integers. GCD() =GCD(16;32;24) gives the result 8, because 8 is the largest number that can divide 16, 24 and 32 without a remainder. =GCD(B1:B3) where cells B1, B2, B3 contain 9, 12, 9 gives 3.
GCD_EXCEL2003 function

GCD_EXCEL2003

The result is the greatest common divisor of a list of numbers. GCD_EXCEL2003() =GCD_EXCEL2003(5;15;25) returns 5.
LCM function least common multiples lowest common multiples mw added two entries

LCM

Returns the least common multiple of one or more integers. LCM() If you enter the numbers 512; 1024 and 2000 as Integer 1;2 and 3, then 128000 will be returned.
LCM_EXCEL2003 function

LCM_EXCEL2003

The result is the lowest common multiple of a list of numbers. LCM_EXCEL2003() =LCM_EXCEL2003(5;15;25) returns 75.
COMBIN function number of combinations mw added one entry should be statistical-->add a link there

COMBIN

Returns the number of combinations for elements without repetition. COMBIN(Count1; Count2) Count1 is the number of items in the set. Count2 is the number of items to choose from the set. COMBIN returns the number of ordered ways to choose these items. For example if there are 3 items A, B and C in a set, you can choose 2 items in 3 different ways, namely AB, AC and BC. COMBIN implements the formula: Count1!/(Count2!*(Count1-Count2)!) =COMBIN(3;2) returns 3.see also COMBINA
COMBINA function number of combinations with repetitions mw added one entry should be statistical-->add a link there

COMBINA

Returns the number of combinations of a subset of items including repetitions. COMBINA(Count1; Count2) Count1 is the number of items in the set. Count2 is the number of items to choose from the set. COMBINA returns the number of unique ways to choose these items, where the order of choosing is irrelevant, and repetition of items is allowed. For example if there are 3 items A, B and C in a set, you can choose 2 items in 6 different ways, namely AA, AB, AC, BB, BC and CC. COMBINA implements the formula: (Count1+Count2-1)! / (Count2!(Count1-1)!)i88052 =COMBINA(3;2) returns 6.see also COMBIN
TRUNC function decimal places;cutting off mw added one entry

TRUNC

Truncates a number by removing decimal places. TRUNC(Number; Count) Returns Number with at most Count decimal places. Excess decimal places are simply removed, irrespective of sign. TRUNC(Number; 0) behaves as INT(Number) for positive numbers, but effectively rounds towards zero for negative numbers. The visible decimal places of the result are specified in %PRODUCTNAME - Preferences Tools - Options - %PRODUCTNAME Calc - Calculate. =TRUNC(1.239;2) returns 1.23. The 9 is lost. =TRUNC(-1.234999;3) returns -1.234. All the 9s are lost.see also INT, ROUND, ROUNDDOWN, ROUNDUP, CEILING, FLOOR, EVEN, ODD, MROUND
LN function natural logarithm mw added one entry

LN

Returns the natural logarithm based on the constant e of a number. The constant e has a value of approximately 2.71828182845904. LN(Number) Number is the value whose natural logarithm is to be calculated. =LN(3) returns the natural logarithm of 3 (approximately 1.0986). =LN(EXP(321)) returns 321.see also LOG, LOG10, EXP
LOG function logarithms mw added one entry

LOG

Returns the logarithm of a number to the specified base. LOG(Number[; Base]) Number is the value whose logarithm is to be calculated. Base (optional) is the base for the logarithm calculation. If omitted, Base 10 is assumed. =LOG(10;3) returns the logarithm to base 3 of 10 (approximately 2.0959). =LOG(7^4;7) returns 4.see also LOG10, LN, POWER
LOG10 function base-10 logarithm mw added one entry

LOG10

Returns the base-10 logarithm of a number. LOG10(Number) Returns the logarithm to base 10 of Number. =LOG10(5) returns the base-10 logarithm of 5 (approximately 0.69897).see also LOG, LN, POWER
PI function

PI

Returns 3.14159265358979, the value of the mathematical constant PI to 14 decimal places. PI() =PI() returns 3.14159265358979.
MULTINOMIAL function

MULTINOMIAL

Returns the factorial of the sum of the arguments divided by the product of the factorials of the arguments. MULTINOMIAL() =MULTINOMIAL(F11:H11) returns 1260, if F11 to H11 contain the values 2, 3 and 4. This corresponds to the formula =(2+3+4)! / (2!*3!*4!)
POWER function

POWER

Returns a number raised to another number. POWER(Base; Exponent) Returns Base raised to the power of Exponent. The same result may be achieved by using the exponentiation operator ^: Base^Exponent =POWER(4;3) returns 64, which is 4 to the power of 3. =4^3 also returns 4 to the power of 3.see also EXP, LOG, SQRT
SERIESSUM function

SERIESSUM

Sums the first terms of a power series. SERIESSUM(x;n;m;c) = c1xn + c2xn+m + c3xn+2m + ... + cixn + (i-1)m. SERIESSUM(X; N; M; Coefficients) X is the input value for the power series. N is the initial power M is the increment to increase N Coefficients is a series of coefficients. For each coefficient the series sum is extended by one section.
PRODUCT function numbers;multiplying multiplying;numbers mw added two entries

PRODUCT

Multiplies all the numbers given as arguments and returns the product. PRODUCT() =PRODUCT(2;3;4) returns 24.see also FACT, SUM
SUMSQ function square number additions sums;of square numbers mw added two entries

SUMSQ

Calculates the sum of the squares of a set of numbers. SUMSQ() If you enter the numbers 2; 3 and 4 in the Number 1; 2 and 3 arguments, 29 is returned as the result.
MOD function remainders of divisions mw added one entry

MOD

Returns the remainder when one integer is divided by another. MOD(Dividend; Divisor) For integer arguments this function returns Dividend modulo Divisor, that is the remainder when Dividend is divided by Divisor. This function is implemented as Dividend - Divisor * INT(Dividend/Divisor) , and this formula gives the result if the arguments are not integer. =MOD(22;3) returns 1, the remainder when 22 is divided by 3. =MOD(11.25;2.5) returns 1.25.see also QUOTIENT, INT
QUOTIENT function divisions mw added one entry

QUOTIENT

Returns the integer part of a division operation. QUOTIENT(Numerator; Denominator) Returns the integer part of Numerator divided by Denominator. QUOTIENT is equivalent to INT(numerator/denominator) for same-sign numerator and denominator, except that it may report errors with different error codes. More generally, it is equivalent to INT(numerator/denominator/SIGN(numerator/denominator))*SIGN(numerator/denominator). =QUOTIENT(11;3) returns 3. The remainder of 2 is lost.see also MOD, INT
RADIANS function converting;degrees, into radians mw added one entry

RADIANS

Converts degrees to radians. RADIANS(Number) Number is the angle in degrees to be converted to radians. =RADIANS(90) returns 1.5707963267949, which is PI/2 to Calc's accuracy.see also DEGREES
ROUND function

ROUND

Rounds a number to a certain number of decimal places. ROUND(Number[; Count]) Returns Number rounded to Count decimal places. If Count is omitted or zero, the function rounds to the nearest integer. If Count is negative, the function rounds to the nearest 10, 100, 1000, etc. This function rounds to the nearest number. See ROUNDDOWN and ROUNDUP for alternatives. =ROUND(2.348;2) returns 2.35 =ROUND(-32.4834;3) returns -32.483. Change the cell format to see all decimals. =ROUND(2.348;0) returns 2. =ROUND(2.5) returns 3. =ROUND(987.65;-2) returns 1000.see also INT, TRUNC, ROUNDDOWN, ROUNDUP, CEILING, FLOOR, EVEN, ODD, MROUND
ROUNDDOWN function

ROUNDDOWN

Rounds a number down, toward zero, to a certain precision. ROUNDDOWN(Number[; Count]) Returns Number rounded down (towards zero) to Count decimal places. If Count is omitted or zero, the function rounds down to an integer. If Count is negative, the function rounds down to the next 10, 100, 1000, etc. This function rounds towards zero. See ROUNDUP and ROUND for alternatives. =ROUNDDOWN(1.234;2) returns 1.23. =ROUNDDOWN(45.67;0) returns 45. =ROUNDDOWN(-45.67) returns -45. =ROUNDDOWN(987.65;-2) returns 900.see also INT, TRUNC, ROUND, ROUNDUP, CEILING, FLOOR, EVEN, ODD, MROUND
ROUNDUP function

ROUNDUP

Rounds a number up, away from zero, to a certain precision. ROUNDUP(Number[; Count]) Returns Number rounded up (away from zero) to Count decimal places. If Count is omitted or zero, the function rounds up to an integer. If Count is negative, the function rounds up to the next 10, 100, 1000, etc. This function rounds away from zero. See ROUNDDOWN and ROUND for alternatives. =ROUNDUP(1.1111;2) returns 1.12. =ROUNDUP(1.2345;1) returns 1.3. =ROUNDUP(45.67;0) returns 46. =ROUNDUP(-45.67) returns -46. =ROUNDUP(987.65;-2) returns 1000.see also INT, TRUNC, ROUND, ROUNDDOWN, CEILING, FLOOR, EVEN, ODD, MROUND
SEC function

SEC

Returns the secant of the given angle (in radians). The secant of an angle is equivalent to 1 divided by the cosine of that angle SEC(Number) Returns the (trigonometric) secant of Number, the angle in radians. To return the secant of an angle in degrees, use the RADIANS function. =SEC(PI()/4) returns approximately 1.4142135624, the inverse of the cosine of PI/4 radians. =SEC(RADIANS(60)) returns 2, the secant of 60 degrees.see also SIN, TAN, COT, CSC, ACOS, ASIN, ATAN, ATAN2, ACOT
SECH function

SECH

Returns the hyperbolic secant of a number. SECH(Number) Returns the hyperbolic secant of Number. =SECH(0) returns 1, the hyperbolic secant of 0.see also SINH, TANH, COTH, CSCH, ACOSH, ASINH, ATANH, ACOTH
SIN function

SIN

Returns the sine of the given angle (in radians). SIN(Number) Returns the (trigonometric) sine of Number, the angle in radians. To return the sine of an angle in degrees, use the RADIANS function. =SIN(PI()/2) returns 1, the sine of PI/2 radians. =SIN(RADIANS(30)) returns 0.5, the sine of 30 degrees.see also COS, TAN, COT, ACOS, ASIN, ATAN, ATAN2, ACOT
SINH function

SINH

Returns the hyperbolic sine of a number. SINH(Number) Returns the hyperbolic sine of Number. =SINH(0) returns 0, the hyperbolic sine of 0.see also COSH, TANH, COTH, ACOSH, ASINH, ATANH, ACOTH
SUM function adding;numbers in cell ranges mw added one entry

SUM

Adds a set of numbers. SUM() SUM ignores any text or empty cell within a range or array. If you suspect wrong results of the SUM function, look for text in the data ranges. Use the value highlighting feature to highlight the text contents in the range that may represent a number. If you enter the numbers 2; 3 and 4 in the Number 1; 2 and 3 text boxes, 9 will be returned as the result. =SUM(A1;A3;B5) calculates the sum of the three cells. =SUM (A1:E10) calculates the sum of all cells in the A1 to E10 cell range. Conditions linked by AND can be used with the function SUM() in the following manner: Example assumption: You have entered invoices into a table. Column A contains the date value of the invoice, column B the amounts. You want to find a formula that you can use to return the total of all amounts only for a specific month, e.g. only the amount for the period >=2008-01-01 to <2008-02-01. The range with the date values covers A1:A40, the range containing the amounts to be totaled is B1:B40. C1 contains the start date, 2008-01-01, of the invoices to be included and C2 the date, 2008-02-01, that is no longer included. Enter the following formula as an array formula: =SUM((A1:A40>=C1)*(A1:A40<C2)*B1:B40) In order to enter this as an array formula, you must press the Shift+Command + Ctrl+ Enter keys instead of simply pressing the Enter key to close the formula. The formula will then be shown in the Formula bar enclosed in braces. {=SUM((A1:A40>=C1)*(A1:A40<C2)*B1:B40)} The formula is based on the fact that the result of a comparison is 1 if the criterion is met and 0 if it is not met. The individual comparison results will be treated as an array and used in matrix multiplication, and at the end the individual values will be totaled to give the result matrix.
SUMIF function adding;specified numbers mw added one entry

SUMIF

Adds the cells specified by a given criteria. This function is used to browse a range when you search for a certain value. SUMIF(Range; Criteria[; SumRange]) Range is the range to which the criteria are to be applied. Criteria is the cell in which the search criterion is shown, or the search criterion itself. If the criteria is written into the formula, it has to be surrounded by double quotes. SumRange is the range from which values are summed. If this parameter has not been indicated, the values found in the Range are summed. SUMIF supports the reference concatenation operator (~) only in the Criteria parameter, and only if the optional SumRange parameter is not given. To sum up only negative numbers: =SUMIF(A1:A10;"<0") =SUMIF(A1:A10;">0";B1:B10) - sums values from the range B1:B10 only if the corresponding values in the range A1:A10 are >0. See COUNTIF() for some more syntax examples that can be used with SUMIF().

TAN function

TAN

Returns the tangent of the given angle (in radians). TAN(Number) Returns the (trigonometric) tangent of Number, the angle in radians. To return the tangent of an angle in degrees, use the RADIANS function. =TAN(PI()/4) returns 1, the tangent of PI/4 radians. =TAN(RADIANS(45)) returns 1, the tangent of 45 degrees.see also COS, SIN, COT, ACOS, ASIN, ATAN, ATAN2, ACOT
TANH function

TANH

Returns the hyperbolic tangent of a number. TANH(Number) Returns the hyperbolic tangent of Number. =TANH(0) returns 0, the hyperbolic tangent of 0.see also COSH, SINH, COTH, ACOSH, ASINH, ATANH, ACOTH
AutoFilter function; subtotals sums;of filtered data filtered data; sums SUBTOTAL function mw made "sums..." a two level entry

SUBTOTAL

Calculates subtotals. If a range already contains subtotals, these are not used for further calculations. Use this function with the AutoFilters to take only the filtered records into account. SUBTOTAL(Function; Range) Function is a number that stands for one of the following functions: Function index (includes hidden values) Function index (ignores hidden values) Function 1 101 AVERAGE 2 102 COUNT 3 103 COUNTA 4 104 MAX 5 105 MIN 6 106 PRODUCT 7 107 STDEV 8 108 STDEVP 9 109 SUM 10 110 VAR 11 111 VARP
Use numbers 1-11 to include manually hidden rows or 101-111 to exclude them; filtered-out cells are always excluded. Range is the range whose cells are included. You have a table in the cell range A1:B6 containing a bill of material for 10 students. Row 2 (Pen) is manually hidden. You want to see the sum of the figures that are displayed; that is, just the subtotal for the filtered rows. In this case the correct formula would be: A B 1 ITEM QUANTITY 2 Pen 10 3 Pencil 10 4 Notebook 10 5 Rubber 10 6 Sharpener 10
=SUBTOTAL(9;B2:B6) returns 50. =SUBTOTAL(109;B2:B6) returns 40.
Euro; converting EUROCONVERT function

EUROCONVERTinsert link in financial

Converts between old European national currency and to and from Euros. EUROCONVERT(Value; "From_currency"; "To_currency"[; full_precision][; triangulation_precision]) Value is the amount of the currency to be converted. From_currency and To_currency are the currency units to convert from and to respectively. These must be text, the official abbreviation for the currency (for example, "EUR"). The rates (shown per Euro) were set by the European Commission. Full_precision is optional. If omitted or False, the result is rounded according to the decimals of the To currency. If Full_precision is True, the result is not rounded. Triangulation_precision is optional. If Triangulation_precision is given and >=3, the intermediate result of a triangular conversion (currency1,EUR,currency2) is rounded to that precision. If Triangulation_precision is omitted, the intermediate result is not rounded. Also if To currency is "EUR", Triangulation_precision is used as if triangulation was needed and conversion from EUR to EUR was applied.

Examples

=EUROCONVERT(100;"ATS";"EUR") converts 100 Austrian Schillings into Euros. =EUROCONVERT(100;"EUR";"DEM") converts 100 Euros into German Marks.
CONVERT_OOO function

CONVERT_OOO

Converts a value from one unit of measurement to another unit of measurement. The conversion factors are given in a list in the configuration. At one time the list of conversion factors included the legacy European currencies and the Euro (see examples below). We suggest using the new function EUROCONVERT for converting these currencies. CONVERT_OOO(value;"text";"text") =CONVERT_OOO(100;"ATS";"EUR") returns the Euro value of 100 Austrian Schillings. =CONVERT_OOO(100;"EUR";"DEM") converts 100 Euros into German Marks.
ODD function rounding;up/down to nearest odd integer mw added one entry

ODD

Rounds a positive number up to the nearest odd integer and a negative number down to the nearest odd integer. ODD(Number) Returns Number rounded to the next odd integer up, away from zero. =ODD(1.2) returns 3. =ODD(1) returns 1. =ODD(0) returns 1. =ODD(-3.1) returns -5.see also CEILING, FLOOR, EVEN, MROUND, INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUP
SIGN function algebraic signs mw added one entry

SIGN

Returns the sign of a number. Returns 1 if the number is positive, -1 if negative and 0 if zero. SIGN(Number) Number is the number whose sign is to be determined. =SIGN(3.4) returns 1. =SIGN(-4.5) returns -1.see also ABS
MROUND function nearest multiple mw added one entry

MROUND

Returns a number rounded to the nearest multiple of another number. MROUND(Number; Multiple) Returns Number rounded to the nearest multiple of Multiple. An alternative implementation would be Multiple * ROUND(Number/Multiple). =MROUND(15.5;3) returns 15, as 15.5 is closer to 15 (= 3*5) than to 18 (= 3*6). =MROUND(1.4;0.5) returns 1.5 (= 0.5*3).see also CEILING, FLOOR, EVEN, ODD, INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUP
SQRT function square roots;positive numbers mw added one entry

SQRT

Returns the positive square root of a number. SQRT(Number) Returns the positive square root of Number. Number must be positive. =SQRT(16) returns 4. =SQRT(-16) returns an invalid argument error.see also SQRTPI, POWER
SQRTPI function square roots;products of Pi mw added one entry

SQRTPI

Returns the square root of (PI times a number). SQRTPI(Number) Returns the positive square root of (PI multiplied by Number). This is equivalent to SQRT(PI()*Number). =SQRTPI(2) returns the squareroot of (2PI), approximately 2.506628.see also SQRT
random numbers; between limits RANDBETWEEN function mw changed "random numbers;"

RANDBETWEEN

Returns an integer random number in a specified range. RANDBETWEEN(Bottom; Top) Returns an integer random number between integers Bottom and Top (both inclusive). This function produces a new random number each time Calc recalculates. To force Calc to recalculate manually press F9. To generate random numbers which never recalculate, copy cells containing this function, and use Edit - Paste Special (with Paste All and Formulas not marked and Numbers marked). =RANDBETWEEN(20;30) returns an integer of between 20 and 30.see also RAND random numbers non-volatile; between limits RANDBETWEEN.NV function

RANDBETWEEN.NV

Returns an non-volatile integer random number in a specified range. RANDBETWEEN.NV(Bottom; Top) Returns an non-volatile integer random number between integers Bottom and Top (both inclusive). A non-volatile function is not recalculated at new input events or pressing F9. However, the function is recalculated when pressing F9 with the cursor on the cell containing the function, when opening the file, and when Top or Bottom are recalculated. =RANDBETWEEN.NV(20;30) returns a non-volatile integer between 20 and 30. =RANDBETWEEN.NV(A1;30) returns a non-volatile integer between the value of cell A1 and 30. The function is recalculated when the contents of cell A1 change.
RAND function random numbers;between 0 and 1 mw added one entry

RAND

Returns a random number between 0 and 1.The value of 0 can be returned, the value of 1 not.this is really true after issue 53642 will be fixed RAND() This function produces a new random number each time Calc recalculates. To force Calc to recalculate manually press F9. To generate random numbers which never recalculate, either: Copy cells each containing =RAND(), and use Edit - Paste Special (with Paste All and Formulas not marked and Numbers marked). Use the Fill Cell command with random numbers (Sheet - Fill Cells - Fill Random Numbers). Use the RAND.NV() function for non-volatile random numbers. =RAND() returns a random number between 0 and 1.see also RANDBETWEEN random numbers non-volatile;between 0 and 1 RAND.NV function

RAND.NV

Returns a non-volatile random number between 0 and 1. RAND.NV() This function produces a non-volatile random number on input. A non-volatile function is not recalculated at new input events. The function does not recalculate when pressing F9, except when the cursor is on the cell containing the function. The function is recalculated when opening the file. =RAND.NV() returns a non-volatile random number between 0 and 1.