# Matematikaj funkcioj

This category contains the Mathematical functions for Calc. To open the Function Wizard, choose Insert - Function.

## KOLEKTI

This function returns an aggregate result of the calculations in the range. You can use different aggregate functions listed below. The Aggregate function enables you to omit hidden rows, errors, SUBTOTAL and other AGGREGATE function results in the calculation.

## RAWSUBTRACT

Subtracts a set of numbers and gives the result without eliminating small roundoff errors.

## KOLORO

Return a numeric value calculated by a combination of three colors (red, green and blue) and the alpha channel, in the RGBA color system. The result depends on the color system used by your computer.

## SUMO.SEOJ

Returns the sum of the values of cells in a range that meets multiple criteria in multiple ranges.

## ABS

Liveras la absolutan valoron de numero.

### Sintakso

ABS(Numero)

Numero estas la numero kies absoluta valoro estas kalkulota. La absoluta valoro de numero estas ĝia valoro sen la signumo +/-.

### Ekzemplo

=GESALT(5;1) liveras je 1.

=DELTA(1;2) liveras je 0.

=DELTA(1;2) liveras je 0.

## ARKKOS

Liveras la inversan trigonometrian kosinuson de numero.

### Sintakso

ARKKOS(Numero)

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.

### Ekzemplo

=PI() liveras je 3,14159265358979.

=DEGREES(ACOS(0.5)) returns 60. The cosine of 60 degrees is 0.5.

## ARKKOTANG

Liveras la inversan kotangenton (la kotangentarkon) de la donita numero.

### Sintakso

ARKKOTANG(Numero)

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.

### Ekzemplo

=PI() liveras je 3,14159265358979.

=DEGREES(ACOT(1)) returns 45. The tangent of 45 degrees is 1.

## ARKOSH

Liveras la inversan hiperbolan kosinuson de numero.

### Sintakso

ARKOSH(Numero)

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.

### Ekzemplo

=DELTA(1;2) liveras je 0.

## ARKOTANGH

Liveras la inversan hiperbolan kotangenton de la donita numero.

### Sintakso

ARKKOTANG(Numero)

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.

### Ekzemplo

=ACOTH(1.1) returns inverse hyperbolic cotangent of 1.1, approximately 1.52226.

## ARKSIN

Liveras la inversan trigonometrian sinuson de numero.

### Sintakso

ARKSINH(Numero)

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.

### Ekzemplo

=DELTA(1;2) liveras je 0.

=PI() liveras je 3,14159265358979.

=DEGREES(ASIN(0.5)) returns 30. The sine of 30 degrees is 0.5.

## ARKSINH

Liveras la inversan hiperbolan sinuson de numero.

### Sintakso

ARKSINH(Numero)

This function returns the inverse hyperbolic sine of Number, that is the number whose hyperbolic sine is Number.

### Ekzemplo

=ASINH(-90) returns approximately -5.1929877.

## ARKTANG

Liveras la inversan trigonometrian tangenton de numero.

### Sintakso

ARKTANG(Numero)

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.

### Ekzemplo

=PI() liveras je 3,14159265358979.

=DEGREES(ATAN(1)) returns 45. The tangent of 45 degrees is 1.

## ARKTANG2

Liveras la inversan trigonometrian tangenton de la specifitaj x kaj y koordinatoj.

### Sintakso

ATAN2(NumberX; NumberY)

Numero estas la valoro de la funkcio.

Numero estas la valoro de la funkcio.

ATAN2 returns the inverse trigonometric tangent, that is, the angle (in radians) between the x-axis and a line from point NumberX, NumberY to the origin. The angle returned is between -PI and PI.

### Ekzemplo

=PI() liveras je 3,14159265358979.

=DEGREES(ATAN2(12.3;12.3)) returns 45. The tangent of 45 degrees is 1.

## ARTANGH

Liveras la inversan hiperbolan tangenton de numero.

### Sintakso

ARKTANGH(Numero)

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.

### Ekzemplo

=DELTA(1;2) liveras je 0.

## CEILING.MATH

Rounds a number up to the nearest multiple of Significance.

### Syntax

CEILING.MATH(Number; Significance; Mode)

Number is the number that is to be rounded up.

Significance is the number to whose multiple the value is to be rounded up.

Mode is an optional value. If the Mode value is given and not equal to zero, and if Number and Significance are negative, then rounding is done based on the absolute value of Number, i.e. negative numbers are rounded away from zero. If the Mode value is equal to zero or is not given, negative numbers are rounded towards zero.

This function exists for interoperability with Microsoft Excel 2013 or newer.

### Example

=CEILING.MATH(-10;-3) returns -9

=CEILING.MATH(-10;-3;0) returns -9

=CEILING.MATH(-10;-3;1) returns -12

## CEILING.PRECISE

Rounds a number up to the nearest multiple of Significance, regardless of sign of Significance

### Sintakso

CEILING.PRECISE(Number; Significance)

Numero estas la numero rondigota supren.

Signifo estas la nombro al kies oblo la valoro estas rondigota supren.

### Ekzemplo

=DELTA(1;2) liveras je 0.

## CEILING.XCL

Rounds a number away from zero to the nearest multiple of Significance.

### Syntax

CEILING.XCL(Number; Significance)

Number is the number that is to be rounded.

Significance is the number to whose multiple the value is to be rounded.

This function exists for interoperability with Microsoft Excel 2007 or older versions.

### Example

=CEILING.XCL(1;3) returns 3

=CEILING.XCL(7;4) returns 8

=CEILING.XCL(-10;-3) returns -12

## 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.

### Sintakso

CONVERT_OOO(value;"text";"text")

### Ekzemplo

=CONVERT_OOO(100;"ATS";"EUR") returns the Euro value of 100 Austrian Schillings.

=CONVERT_OOO(100;"EUR";"DEM") converts 100 Euros into German Marks.

## 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

### Sintakso

KOSH(Numero)

Liveras la (trigonometrian) kosinuson de Numero, la angulo en radianoj.

### Ekzemploj

=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.

## CSCH

Liveras la hiperbolan kosekanton de numero.

### Sintakso

KOSH(Numero)

Liveras la hiperbolan kosinuson de Numero.

### Ekzemplo

=CSCH(1) returns approximately 0.8509181282, the hyperbolic cosecant of 1.

## EKSP

Liveras je e al la potenco de numero. La konstanto e havas la valoron proksimuman 2,71828182845904.

### Sintakso

TAGO(Nombro)

Numero estas la eksponento montranta ĝis kia potenco e estas altigota.

### Ekzemplo

=EXP(1) returns 2.71828182845904, the mathematical constant e to Calc's accuracy.

## ENT

Subrondigas numeron al la antaŭa entjero.

### Sintakso

KOT(Numero)

Returns Number rounded down to the nearest integer.

Negativaj numeroj rondiĝas al la sekva malplia entjero.

### Ekzemplo

=GESALT(5;1) liveras je 1.

=DELTA(1;2) liveras je 0.

## EUROCONVERT

Converts between old European national currency and to and from Euros.

### Sintakso

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.

### Ekzemploj:

=EUROCONVERT(100;"ATS";"EUR") converts 100 Austrian Schillings into Euros.

=EUROCONVERT(100;"EUR";"DEM") converts 100 Euros into German Marks.

## FAKT

Liveras la faktorialon de numero.

### Sintakso

ARKKOTANG(Numero)

Returns Number!, the factorial of Number, calculated as 1*2*3*4* ... * Number.

FAKDUOBL(0) liveras je 1 laŭ difino.

La faktorialo de negativa numero liveras la prieraran mesaĝon "nevalida argumento".

### Ekzemplo

=DELTA(1;2) liveras je 0.

=GESALT(5;1) liveras je 1.

## FLOOR.PRECISE

Rounds a number down to the nearest multiple of Significance, regardless of sign of Significance

### Sintakso

FLOOR.PRECISE(Number; Significance)

numero estas subrondigota.

signifo estas la valoro al kies oblo rondigi la numeron.

### Ekzemplo

=DELTA(1;2) liveras je 0.

## GCD_EXCEL2003

The result is the greatest common divisor of a list of numbers.

The functions whose names end with _ADD or _EXCEL2003 return the same results as the corresponding Microsoft Excel 2003 functions without the suffix. Use the functions without suffix to get results based on international standards.

### Sintakso

GCD_EXCEL2003(Number(s))

Number(s) is a list of up to 30 numbers.

### Ekzemplo

=GCD_EXCEL2003(5;15;25) returns 5.

DEGREES(Number)

### Ekzemplo

=DEGREES(PI()) returns 180 degrees.

## HAZARD

Liveras hazardan entjeron inter 0 kaj 1.

### Sintakso

HAZARD()

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 each containing =RAND(), and use Edit - Paste Special (with Paste All and Formulas not marked and Numbers marked).

### Ekzemplo

=RAND() returns a random number between 0 and 1.

## HAZARDINTER

Liveras entjeran hazardan numeron en specifita amplekso.

### Sintakso

HAZARDINTER(malsupro; supro)

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 Shift++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).

### Ekzemplo

=HAZARDINTER(20;30) liveras entjeron kies valoro estu inter 20 kaj 30.

## ISO.CEILING

Rounds a number up to the nearest multiple of Significance, regardless of sign of Significance

### Sintakso

ISO.CEILING(Number; Significance)

Numero estas la numero rondigota supren.

Signifo estas la nombro al kies oblo la valoro estas rondigota supren.

### Ekzemplo

=DELTA(1;2) liveras je 0.

## KOMBIN

Returns the number of combinations for elements without repetition.

### Sintakso

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)!)

### Ekzemplo

=DELTA(1;2) liveras je 0.

## KOMBIN2

Returns the number of combinations of a subset of items including repetitions.

### Sintakso

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)!)

### Ekzemplo

=DELTA(1;2) liveras je 0.

## KOS

Liveras la kosinuson de la donita angulo (en radianoj).

### Sintakso

KOS(Numero)

Liveras la (trigonometrian) kosinuson de Numero, la angulo en radianoj.

### Ekzemploj

=COS(PI()*2) returns 1, the cosine of 2*PI radians.

=COS(RADIANS(60)) returns 0.5, the cosine of 60 degrees.

## KOSH

Liveras la hiperbolan kosinuson de numero.

### Sintakso

KOSH(Numero)

Liveras la hiperbolan kosinuson de Numero.

### Ekzemplo

=COSH(0) returns 1, the hyperbolic cosine of 0.

## KOT

Liveras la kotangenton de la donita angulo (en radianoj).

### Sintakso

KOT(Numero)

Liveras la (trigonometrian) kotangenton de Numero, la angulo en radianoj.

La kotangento de angulo egalas al 1 dividita de la tangento de tiu angulo.

### Ekzemploj:

=COT(PI()/4) returns 1, the cotangent of PI/4 radians.

=COT(RADIANS(45)) returns 1, the cotangent of 45 degrees.

## KOTANGH

Liveras la hiperbolan kotangenton de donita numero (angulo).

### Sintakso

KOTANGH(Numero)

Liveras la hiperbolan kosinuson de Numero.

### Ekzemplo

=COTH(1) returns the hyperbolic cotangent of 1, approximately 1.3130.

## KVOCIENT

Liveras la entjeran parton de divido.

### Sintakso

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).

### Ekzemplo

=KVOCIENT(11;3) liveras je 3. La resto 2 perdiĝas.

### Sintakso

Returns the positive square root of Number.

Number must be positive.

### Ekzemplo

=DELTA(1;2) liveras je 0.

=SQRT(-16) returns an invalid argument error.

### Sintakso

Returns the positive square root of (PI multiplied by Number).

This is equivalent to SQRT(PI()*Number).

### Ekzemplo

=SQRTPI(2) returns the squareroot of (2PI), approximately 2.506628.

## LCM_EXCEL2003

The result is the lowest common multiple of a list of numbers.

The functions whose names end with _ADD or _EXCEL2003 return the same results as the corresponding Microsoft Excel 2003 functions without the suffix. Use the functions without suffix to get results based on international standards.

### Sintakso

LCM_EXCEL2003(Number(s))

Number(s) is a list of up to 30 numbers.

### Ekzemplo

=LCM_EXCEL2003(5;15;25) returns 75.

## LN

Liveras la naturan logaritmon bazitan sur la konstanto e de numero. La konstanto e havas la valoron 2,71828182845904 (proksimume).

### Sintakso

ARKTANG(Numero)

Numero estas la valoro kies natura logaritmo estas kalkulota.

### Ekzemplo

=LN(3) returns the natural logarithm of 3 (approximately 1.0986).

=GESALT(5;1) liveras je 1.

## LOG

Liveras la logaritmon de numero por la specifa bazo.

### Sintakso

LOG(Number; Base)

Numero estas la valoro kies logaritmo estas kalkulota.

Base (optional) is the base for the logarithm calculation. If omitted, Base 10 is assumed.

### Ekzemplo

=LOG(10;3) returns the logarithm to base 3 of 10 (approximately 2.0959).

=DELTA(1;2) liveras je 0.

## LOG10

Liveras la 10-bazan logaritmon de numero.

### Sintakso

LOG10(Number)

Returns the logarithm to base 10 of Number.

### Ekzemplo

=LOG10(5) returns the base-10 logarithm of 5 (approximately 0.69897).

## MOD

Liveras la reston kiam entjero estas dividita de alia.

### Sintakso

MOD(Dividendo; Divizoro)

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.

### Ekzemplo

=MOD(22;3) returns 1, the remainder when 22 is divided by 3.

## MRONDIGI

Liveras la numeron rondigita al la plej proksima oblo de alia numero.

### Sintakso

MRONDIGI(numero; oblo)

Liveras numeron rondigita al la plej proksima oblo de oblo.

Alternativa realigo estus Oblo * RONDIGI(numero/oblo).

### Ekzemplo

=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).

## MULTNOMIAL

Returns the factorial of the sum of the arguments divided by the product of the factorials of the arguments.

### Sintakso

MULTINOMIAL(Number(s))

Number(s) is a list of up to 30 numbers.

### Ekzemplo

=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!)

## NEPARIGI

Superrondigas pozitivan numeron al la plej proksima nepara entjero kaj subrondigas negativan numeron al la plej proksima nepara entjero.

### Sintakso

HORO(Nombro)

Returns Number rounded to the next odd integer up, away from zero.

### Ekzemplo

=DELTA(1;2) liveras je 0.

## PARIGI

Superrondigas pozitivan numeron al la sekva para entjero kaj subrondigas negativan numeron al la antaŭa para entjero.

### Sintakso

ARKTANG(Numero)

Returns Number rounded to the next even integer up, away from zero.

### Ekzemploj

=GESALT(5;1) liveras je 1.

=DELTA(1;2) liveras je 0.

## PGKD

Liveras la plej grandan komunan divizoron de du aŭ pliaj entjeroj.

La plej granda komuna divizoro estas la pozitiva plej granda entjero kiu dividas, sen resto, ĉiun donitan entjeron.

### Sintakso

GCD(Integer1; Integer2; ...; Integer30)

Integer1 To 30 are up to 30 integers whose greatest common divisor is to be calculated.

### Ekzemplo

=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.

## PI

Liveras je 3,14159265358979, la valoro de la matematika konstanto PI al 14 dekumaj lokoj.

PI()

### Ekzemplo

=PI() liveras je 3,14159265358979.

## PLAFONO

Rondigas numeron supren al la plej proksima signifa oblo.

### Sintakso

PLAFONO(Numero;Signifo; Reĝimo)

Numero estas la numero rondigota supren.

Signifo estas la nombro al kies oblo la valoro estas rondigota supren.

Mode is an optional value. If the Mode value is given and not equal to zero, and if Number and Significance are negative, then rounding is done based on the absolute value of Number, i.e. negative numbers are rounded away from zero. If the Mode value is equal to zero or is not given, negative numbers are rounded towards zero.

If the spreadsheet is exported to Microsoft Excel, the CEILING function is exported as the equivalent CEILING.MATH function that exists since Excel 2013. If you plan to use the spreadsheet with earlier Excel versions, use either CEILING.PRECISE that exists since Excel 2010, or CEILING.XCL that is exported as the CEILING function compatible with all Excel versions. Note that CEILING.XCL always rounds away from zero.

### Ekzemplo

=DELTA(1;2) liveras je 0.

=DELTA(1;2) liveras je 0.

=DELTA(1;2) liveras je 0.

## PLANKO

Rondigas numeron malsupren al la plej proksima signifa oblo.

### Sintakso

PLANKO(numero; signifo; reĝimo)

numero estas subrondigota.

signifo estas la valoro al kies oblo rondigi la numeron.

Mode is an optional value. If the Mode value is given and not equal to zero, and if Number and Significance are negative, then rounding is done based on the absolute value of Number, i.e. negative numbers are rounded towards zero. If the Mode value is equal to zero or is not given, negative numbers are rounded away from zero.

If the spreadsheet is exported to Microsoft Excel, the FLOOR function is exported as the equivalent FLOOR.MATH function that exists since Excel 2013. If you plan to use the spreadsheet with earlier Excel versions, use either FLOOR.PRECISE that exists since Excel 2010, or FLOOR.XCL that is exported as the FLOOR function compatible with all Excel versions. Note that FLOOR.XCL always rounds towards zero.

### Ekzemplo

=DELTA(1;2) liveras je 0.

=DELTA(1;2) liveras je 0.

=DELTA(1;2) liveras je 0.

## PMKO

Liveras la plej malgrandan komunan oblon de unu aŭ pliaj entjero(j).

### Sintakso

LCM(Integer1; Integer2; ...; Integer30)

Integer1 to 30 are up to 30 integers whose lowest common multiple is to be calculated.

### Ekzemplo

If you enter the numbers 512;1024 and 2000 in the Integer 1;2 and 3 text boxes, 128000 will be returned as the result.

## POTENCIGI

Liveras numeron potencigita al potenco.

### Sintakso

POWER(Base; Exponent)

Returns Base raised to the power of Exponent.

Eblas atingi la saman rezulton uzante la eksponencialigan operatoron ^:

Base^Exponent

### Ekzemplo

=POWER(4;3) returns 64, which is 4 to the power of 3.

=4^3 also returns 4 to the power of 3.

## PRODUTO

Multiplikas ĉiujn numerojn donitajn kiel argumentojn kaj liveras la produton.

### Sintakso

PRODUCT(Number1; Number2; ...; Number30)

Number1 to 30 are up to 30 arguments whose product is to be calculated.

PRODUTO liveras je numero 1 * numero 2 * numero 3 * ...

### Ekzemplo

=BAZ10AL8(100;4) liveras je 0144.

### Ekzemplo

=RADIANS(90) returns 1.5707963267949, which is PI/2 to Calc's accuracy.

## RONDIGI

Rondigas numeron al specifita nombro da dekumaj pozicioj.

### Sintakso

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.

Ĉi tiu funkcio rondigas al la plej proksima numero. Vidu ĉe SUBRONDIGI kaj SUPERRONDIGI por alternativoj.

### Ekzemplo

=DELTA(1;2) liveras je 0.

=ROUND(-32.4834;3) returns -32.483. Change the cell format to see all decimals.

=DELTA(1;2) liveras je 0.

=DELTA(1;2) liveras je 0.

=BAZ16AL10(64) liveras je 100.

## RONDIGI.MALSUPREN

Subrondigas numeron al la antaŭa numero, direkte al nul, laŭ specifita precizo.

### Sintakso

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.

Ĉi tiu funkcio rondigas direkte al nul. Vidu je RONDIGI.SUPREN kaj RONDIGI por alternativoj.

### Ekzemplo

=PUASON(60;50;1) liveras je 0,93.

=GESALT(5;1) liveras je 1.

=GESALT(5;1) liveras je 1.

=BAZ16AL10(64) liveras je 100.

## RONDIGI.SUPREN

Superrondigas numeron al la sekva numero, direkte for de nul, laŭ specifita precizo.

### Sintakso

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.

Ĉi tiu funkcio rondigas direkte for de nul. Vidu je RONDIGI.MALSUPREN kaj RONDIGI por alternativoj.

### Ekzemplo

=BAZ2AL10(1100100) liveras je 100.

=GESALT(5;1) liveras je 1.

=GESALT(5;1) liveras je 1.

=GESALT(5;1) liveras je 1.

=BAZ16AL10(64) liveras je 100.

## 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

### Sintakso

ARKSINH(Numero)

Liveras la (trigonometrian) kosinuson de Numero, la angulo en radianoj.

Por liveri la sinuson de angulo en gradoj, uzu la funkcion RADIANOJ.

### Ekzemploj

=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.

## SECH

Liveras la hiperbolan sekanton de numero.

### Sintakso

ARKSINH(Numero)

Liveras la hiperbolan kosinuson de Numero.

### Ekzemplo

=SECH(0) returns 1, the hyperbolic secant of 0.

## SERISUM

Sumas la unuajn terminojn de potenca serio.

SERISUM(x;n;m;koeficientoj) = koeficiento_1*x^n + koeficiento_2*x^(n+m) + koeficiento_3*x^(n+2m) +...+ koeficiento_i*x^(n+(i-1)m)

### Sintakso

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.

## SIGNUMO

Liveras la signumon de numero. Liveras je 1 se la numero estas pozitiva, -1 se negativa kaj 0 se nul.

### Sintakso

ARKSINH(Numero)

number estas la numero kies signumo estas liverota.

### Ekzemplo

=GESALT(5;1) liveras je 1.

## SIN

Liveras la sinuson de donita angulo (en radianoj).

### Sintakso

ARKSINH(Numero)

Liveras la (trigonometrian) kosinuson de Numero, la angulo en radianoj.

Por liveri la sinuson de angulo en gradoj, uzu la funkcion RADIANOJ.

### Ekzemplo

=SIN(PI()/2) returns 1, the sine of PI/2 radians.

=SIN(RADIANS(30)) returns 0.5, the sine of 30 degrees.

## SINH

Liveras la hiperbolan sinuson de numero.

### Sintakso

ARKSINH(Numero)

Liveras la hiperbolan kosinuson de Numero.

### Ekzemplo

=SINH(0) returns 0, the hyperbolic sine of 0.

## SUBTOTALO

Kalkulas subtotalojn. Se ĉelaro jam enhavas subtotalojn, tiuj ne estas uzataj por pluaj kalkuloj. Uzu ĉi tiun funkcion kun AŭtomataFiltrilo por trakti nur la filtritajn rikordojn.

### Sintakso

SUBTOTAL(Function; Range)

Funkcio estas numero kiu reprezentas iun el la jenaj funkcioj:

 Indekso de funkcioj (includes hidden values) Function index (ignores hidden values) Funkcio 1 101 MEZUMO 2 102 NOMBRI 3 103 NOMBRIA 4 104 MAKS 5 105 MIN 6 106 PRODUTO 7 107 VAR.RAD 8 108 VAR.RAD.P 9 109 SUMO 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.

Ĉelaro estas la ĉelaro kies ĉeloj estas traktotaj.

### Ekzemplo

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.

## SUM

### Sintakso

SUM(Number1; Number2; ...; Number30)

Number 1 to Number 30 are up to 30 arguments whose sum is to be calculated.

### Ekzemplo

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.

Kondiĉojn ligitajn de KAJ eblas uzi kun la funkcio SUMO() jene:

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.

Enigu la jenan formulon kiel tabelan formulon:

=SUMO((A1:A40>=C1)*(A1:A40<C2)*B1:B40)

In order to enter this as an array formula, you must press the Shift+ 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.

{=SUMO((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

Adicias la ĉelojn specifitajn de donita kriterio. Ĉi tiu funkcio estas uzebla por traserĉi ĉelaron kiam vi serĉas specifan valoron.

La serĉo subtenas regulajn esprimojn. Vi povas enigi "abc.*", ekzemple por serĉi la unuan lokon de "abc" sekvata de ajnaj signoj. Se vi volas serĉi tekston kiu ankaŭ estas regula esprimo, vi devas meti je \ antaŭ ĉiu signo. Vi povas baskuligi la aŭtomatan kalkulon de regula esprimo en - LibreOffice - Tabelilo - Kalkuli.

### Sintakso

SUMIF(Range; Criteria; SumRange)

Ĉelaro estas la ĉelaro al kiu apliki la kriterion.

Kriterio estas la ĉelo en kiu la serĉa kriterio troviĝas, aŭ la serĉa kriterio mem. Se la kriterio estas parto de la formulo, ĝi devas esti enfermita en duoblaj citiloj.

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.

### Ekzemplo

To sum up only negative numbers: =SUMIF(A1:A10;"<0")

=SUMO.SE(A1:A10;">0";B1:10) - sumigas valorojn en la ĉelaro B1:B10 nur se la rilataj valoroj en la ĉelaro A1:A10 estas >0.

Vidu je NOMBRI.SE() por pluaj sintaksaj ekzemploj uzeblaj kun SUMO.SE().

## SUMOKV

Se vi volas kalkuli la sumon de la kvadratoj de numeroj (sumante la kvadratojn de la argumentoj), enigu tiujn en la tekstajn kampojn.

### Sintakso

SUMSQ(Number1; Number2; ...; Number30)

Number1 to 30 are up to 30 arguments the sum of whose squares is to be calculated.

### Ekzemplo

If you enter the numbers 2; 3 and 4 in the Number 1; 2 and 3 text boxes, 29 is returned as the result.

## TAN

Liveras la tangenton de la donita angulo (en radianoj).

### Sintakso

ARKTANG(Numero)

Liveras la (trigonometrian) kotangenton de Numero, la angulo en radianoj.

Por liveri la tangenton de angulo en gradoj, uzu la funkcion RADIANOJ.

### Ekzemplo

=TAN(PI()/4) returns 1, the tangent of PI/4 radians.

=TAN(RADIANS(45)) returns 1, the tangent of 45 degrees.

## TANGH

Liveras la hiperbolan tangenton de numero.

### Sintakso

ARKTANGH(Numero)

Liveras la hiperbolan kosinuson de Numero.

### Ekzemplo

=TANH(0) returns 0, the hyperbolic tangent of 0.

## TRUNKI

Stucas nombron forigante dekumajn poziciojn.

### Sintakso

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.

La videblajn dekumajn poziciojn de la rezulto oni agordas en - LibreOffice Tabelilo - Kalkuli.

### Ekzemplo

=TRUNC(1.239;2) returns 1.23. The 9 is lost.

=TRUNC(-1.234999;3) returns -1.234. All the 9s are lost.