/text/scalc/01/04060116.xhp imaginary numbers in analysis functions complex numbers in analysis functions Add-in Functions, List of Analysis Functions Part Two

Category Statistics Analysis Functions Part One Back to the Overview

IMABS function IMABS The result is the absolute value of a complex number. Syntax IMABS("ComplexNumber") ComplexNumber is a complex number that is entered in the form "x+yi" or "x+yj". no blanks allowed, see i82522 Example =IMABS("5+12j") returns 13.

IMAGINARY function IMAGINARY The result is the imaginary coefficient of a complex number. Syntax IMAGINARY("ComplexNumber") Example =IMAGINARY("4+3j") returns 3.

IMPOWER function IMPOWER The result is the integer power of a complex number. Syntax IMPOWER("ComplexNumber"; Number) Number is the exponent. Example =IMPOWER("2+3i";2) returns -5+12i.

IMARGUMENT function IMARGUMENT The result is the argument (the phi angle) of a complex number. Syntax IMARGUMENT("ComplexNumber") Example =IMARGUMENT("3+4j") returns 0.927295.

IMCOS function IMCOS The result is the cosine of a complex number. Syntax IMCOS("ComplexNumber") Example =IMCOS("3+4j") returns -27.03-3.85i (rounded).

IMDIV function IMDIV The result is the division of two complex numbers. Syntax IMDIV("Numerator"; "Denominator") Numerator, Denominator are complex numbers that are entered in the form "x+yi" or "x+yj". Example =IMDIV("-238+240i";"10+24i") returns 5+12i.

IMEXP function IMEXP The result is the power of e and the complex number. The constant e has a value of approximately 2.71828182845904. Syntax IMEXP("ComplexNumber") Example =IMEXP("1+j") returns 1.47+2.29j (rounded).

IMCONJUGATE function IMCONJUGATE The result is the conjugated complex complement to a complex number. Syntax IMCONJUGATE("ComplexNumber") Example =IMCONJUGATE("1+j") returns 1-j.

IMLN function IMLN The result is the natural logarithm (to the base e) of a complex number. The constant e has a value of approximately 2.71828182845904. Syntax IMLN("ComplexNumber") Example =IMLN("1+j") returns 0.35+0.79j (rounded).

IMLOG10 function IMLOG10 The result is the common logarithm (to the base 10) of a complex number. Syntax IMLOG10("ComplexNumber") Example =IMLOG10("1+j") returns 0.15+0.34j (rounded).

IMLOG2 function IMLOG2 The result is the binary logarithm of a complex number. Syntax IMLOG2("ComplexNumber") Example =IMLOG2("1+j") returns 0.50+1.13j (rounded).

IMPRODUCT function IMPRODUCT The result is the product of up to 29 complex numbers. Syntax IMPRODUCT("ComplexNumber"; "ComplexNumber1"; ...) Example =IMPRODUCT("3+4j";"5-3j") returns 27+11j.

IMREAL function IMREAL The result is the real coefficient of a complex number. Syntax IMREAL("ComplexNumber") Example =IMREAL("1+3j") returns 1.

IMSIN function IMSIN The result is the sine of a complex number. Syntax IMSIN("ComplexNumber") Example =IMSIN("3+4j") returns 3.85+27.02j (rounded).

IMSUB function IMSUB The result is the subtraction of two complex numbers. Syntax IMSUB("ComplexNumber1"; "ComplexNumber2") Example =IMSUB("13+4j";"5+3j") returns 8+j.

IMSUM function IMSUM The result is the sum of up to 29 complex numbers. Syntax IMSUM("ComplexNumber1"; "ComplexNumber2"; ...) Example =IMSUM("13+4j";"5+3j") returns 18+7j.

IMSQRT function IMSQRT The result is the square root of a complex number. Syntax IMSQRT("ComplexNumber") Example =IMSQRT("3+4i") returns 2+1i.

COMPLEX function COMPLEX The result is a complex number which is returned from a real coefficient and an imaginary coefficient. Syntax COMPLEX(RealNum; INum; Suffix) RealNum is the real coefficient of the complex number. INum is the imaginary coefficient of the complex number. Suffix is a list of options, "i" or "j". Example =COMPLEX(3;4;"j") returns 3+4j.

OCT2BIN function converting;octal numbers, into binary numbers mw added one entry OCT2BIN The result is the binary number for the octal number entered. Syntax OCT2BIN(Number; Places) Number is the octal number. The number can have a maximum of 10 places. The most significant bit is the sign bit, the following bits return the value. Negative numbers are entered as two's complement. Places is the number of places to be output. Example =OCT2BIN(3;3) returns 011.

OCT2DEC function converting;octal numbers, into decimal numbers mw added one entry OCT2DEC The result is the decimal number for the octal number entered. Syntax OCT2DEC(Number) Number is the octal number. The number can have a maximum of 10 places. The most significant bit is the sign bit, the following bits return the value. Negative numbers are entered as two's complement. Example =OCT2DEC(144) returns 100.

OCT2HEX function converting;octal numbers, into hexadecimal numbers mw added one entry OCT2HEX The result is the hexadecimal number for the octal number entered. Syntax OCT2HEX(Number; Places) Number is the octal number. The number can have a maximum of 10 places. The most significant bit is the sign bit, the following bits return the value. Negative numbers are entered as two's complement. Places is the number of places to be output. Example =OCT2HEX(144;4) returns 0064.

CONVERT_ADD function CONVERT_ADD Converts a value from one unit of measure to the corresponding value in another unit of measure. Enter the units of measures directly as text in quotation marks or as a reference. If you enter the units of measure in cells, they must correspond exactly with the following list which is case sensitive: For example, in order to enter a lower case l (for liter) in a cell, enter the apostrophe ' immediately followed by l. Property Units Weight g, sg, lbm, u, ozm, stone, ton, grain, pweight, hweight, shweight, brton Length m, mi, Nmi, in, ft, yd, ang, Pica, ell, parsec, lightyear, survey_mi Time yr, day, hr, mn, sec, s Pressure Pa, atm, at, mmHg, Torr, psi Force N, dyn, dy, lbf, pond Energy J, e, c, cal, eV, ev, HPh, Wh, wh, flb, BTU, btu Power W, w, HP, PS Field strength T, ga Temperature C, F, K, kel, Reau, Rank Volume l, L, lt, tsp, tbs, oz, cup, pt, us_pt, qt, gal, m3, mi3, Nmi3, in3, ft3, yd3, ang3, Pica3, barrel, bushel, regton, Schooner, Middy, Glass Area m2, mi2, Nmi2, in2, ft2, yd2, ang2, Pica2, Morgen, ar, acre, ha Speed m/s, m/sec, m/h, mph, kn, admkn Information bit, byte Units of measure in bold can be preceded by a prefix character from the following list: Prefix Multiplier Y (yotta) 10^24 Z (zetta) 10^21 E (exa) 10^18 P (peta) 10^15 T (tera) 10^12 G (giga) 10^9 M (mega) 10^6 k (kilo) 10^3 h (hecto) 10^2 e (deca) 10^1 d (deci) 10^-1 c (centi) 10^-2 m (milli) 10^-3 u (micro) 10^-6 n (nano) 10^-9 p (pico) 10^-12 f (femto) 10^-15 a (atto) 10^-18 z (zepto) 10^-21 y (yocto) 10^-24 Information units "bit" and "byte" may also be prefixed by one of the following IEC 60027-2 / IEEE 1541 prefixes: ki kibi 1024 Mi mebi 1048576 Gi gibi 1073741824 Ti tebi 1099511627776 Pi pebi 1125899906842620 Ei exbi 1152921504606850000 Zi zebi 1180591620717410000000 Yi yobi 1208925819614630000000000 Syntax CONVERT_ADD(Number; "FromUnit"; "ToUnit") Number is the number to be converted. FromUnit is the unit from which conversion is taking place. ToUnit is the unit to which conversion is taking place. Both units must be of the same type. Examples =CONVERT_ADD(10;"HP";"PS") returns, rounded to two decimal places, 10.14. 10 HP equal 10.14 PS. =CONVERT_ADD(10;"km";"mi") returns, rounded to two decimal places, 6.21. 10 kilometers equal 6.21 miles. The k is the permitted prefix character for the factor 10^3.

FACTDOUBLE function factorials;numbers with increments of two mw added one entry FACTDOUBLE Returns the double factorial of a number. Syntax FACTDOUBLE(Number) Returns Number !!, the double factorial of Number, where Number is an integer greater than or equal to zero. For even numbers FACTDOUBLE(n) returns: 2*4*6*8* ... *n For odd numbers FACTDOUBLE(n) returns: 1*3*5*7* ... *n FACTDOUBLE(0) returns 1 by definition. Example =FACTDOUBLE(5) returns 15. =FACTDOUBLE(6) returns 48. =FACTDOUBLE(0) returns 1.see also FACT, MULTINOMIAL, PRODUCT