Add-in Functions, List of Analysis Functions Part Two
IMABS
The result is the absolute value of a complex number.
IMABS("ComplexNumber")
ComplexNumber is a complex number that is entered in the form "x+yi" or "x+yj".
=IMABS("5+12j") returns 13.
IMCOS
Returns the cosine of a complex number.
IMCOSH
Returns the hyperbolic cosine of a complex number.
IMCOT
Returns the cotangent of a complex number.
IMCSC
Returns the cosecant of a complex number.
IMCSCH
Returns the hyperbolic cosecant of a complex number.
IMSEC
Returns the secant of a complex number.
IMSECH
Returns the hyperbolic secant of a complex number.
IMSIN
Returns the sine of a complex number.
IMSINH
Returns the hyperbolic sine of a complex number.
IMTAN
Returns the tangent of a complex number.
COMPLEX
The result is a complex number which is returned from a real coefficient and an imaginary coefficient.
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".
=COMPLEX(3;4;"j") returns 3+4j.
CONVERT
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
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.
CONVERT(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.
=CONVERT(10;"HP";"PS") returns, rounded to two decimal places, 10.14. 10 HP equal 10.14 PS.
=CONVERT(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
Returns the double factorial of a number.
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.
=FACTDOUBLE(5) returns 15.
=FACTDOUBLE(6) returns 48.
=FACTDOUBLE(0) returns 1.
IMAGINARY
The result is the imaginary coefficient of a complex number.
IMAGINARY("ComplexNumber")
=IMAGINARY("4+3j") returns 3.
IMARGUMENT
The result is the argument (the phi angle) of a complex number.
IMARGUMENT("ComplexNumber")
=IMARGUMENT("3+4j") returns 0.927295.
IMCONJUGATE
The result is the conjugated complex complement to a complex number.
IMCONJUGATE("ComplexNumber")
=IMCONJUGATE("1+j") returns 1-j.
IMDIV
The result is the division of two complex numbers.
IMDIV("Numerator"; "Denominator")
Numerator, Denominator are complex numbers that are entered in the form "x+yi" or "x+yj".
=IMDIV("-238+240i";"10+24i") returns 5+12i.
IMEXP
The result is the power of e and the complex number. The constant e has a value of approximately 2.71828182845904.
IMEXP("ComplexNumber")
=IMEXP("1+j") returns 1.47+2.29j (rounded).
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.
IMLN("ComplexNumber")
=IMLN("1+j") returns 0.35+0.79j (rounded).
IMLOG10
The result is the common logarithm (to the base 10) of a complex number.
IMLOG10("ComplexNumber")
=IMLOG10("1+j") returns 0.15+0.34j (rounded).
IMLOG2
The result is the binary logarithm of a complex number.
IMLOG2("ComplexNumber")
=IMLOG2("1+j") returns 0.50+1.13j (rounded).
IMPOWER
The result is the ComplexNumber raised to the power of Number.
IMPOWER("ComplexNumber"; Number)
Number is the exponent.
=IMPOWER("2+3i";2) returns -5+12i.
IMPRODUCT
The result is the product of up to 29 complex numbers.
IMPRODUCT("ComplexNumber"; "ComplexNumber1"; ...)
=IMPRODUCT("3+4j";"5-3j") returns 27+11j.
IMREAL
The result is the real coefficient of a complex number.
IMREAL("ComplexNumber")
=IMREAL("1+3j") returns 1.
IMSQRT
The result is the square root of a complex number.
IMSQRT("ComplexNumber")
=IMSQRT("3+4i") returns 2+1i.
IMSUB
The result is the subtraction of two complex numbers.
IMSUB("ComplexNumber1"; "ComplexNumber2")
=IMSUB("13+4j";"5+3j") returns 8+j.
IMSUM
The result is the sum of up to 29 complex numbers.
IMSUM("ComplexNumber1"; "ComplexNumber2"; ...)
=IMSUM("13+4j";"5+3j") returns 18+7j.
OCT2BIN
The result is the binary number for the octal number entered.
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.
=OCT2BIN(3;3) returns 011.
OCT2DEC
The result is the decimal number for the octal number entered.
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.
=OCT2DEC(144) returns 100.
OCT2HEX
The result is the hexadecimal number for the octal number entered.
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.
=OCT2HEX(144;4) returns 0064.