Add-in Functions, List of Analysis Functions Part Two
\<bookmark_value\>IMABS function\</bookmark_value\>
IMABS
The result is the absolute value of a complex number.
Syntax
IMABS(Complex number)
ComplexNumber is a complex number that is entered in the form "x+yi" or "x+yj".
Example:
=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.
\<bookmark_value\>COMPLEX function\</bookmark_value\>COMPLEX
The result is a complex number which is returned from a real coefficient and an imaginary coefficient.
Syntax
COMPLEX(Real num;I num;Suffix)
Real num: the real coefficient of the complex number.
I num: the imaginary coefficient of the complex number.
Suffix: list of options, "i" or "j".
Example:
=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
Syntax
CONVERT(Number; "FromUnit"; "ToUnit")
Number: the number to be converted.
From unit: the unit from which conversion is taking place.
To unit: the unit to which conversion is taking place.
Example:
=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.
\<bookmark_value\>FACTDOUBLE function\</bookmark_value\>\<bookmark_value\>factorials;numbers with increments of two\</bookmark_value\>FACTDOUBLE
Returns the double factorial of a number.
Syntax
FACTDOUBLE(Number)
Number: if the number is even, the following factorial is calculated: n*(N-2)*(n-4)*...*4*2.
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(6) returns 48.
=FACTDOUBLE(6) returns 48.
=FACTDOUBLE(6) returns 48.
\<bookmark_value\>IMAGINARY function\</bookmark_value\>IMAGINARY
The result is the imaginary coefficient of a complex number.
Syntax
IMAGINARY(Complex number)
Example:
=IMAGINARY("4+3j") returns 3.
\<bookmark_value\>IMARGUMENT function\</bookmark_value\>IMARGUMENT
The result is the argument (the phi angle) of a complex number.
Syntax
IMARGUMENT(Complex number)
Example:
=IMARGUMENT("3+4j") returns 0.927295.
\<bookmark_value\>IMCONJUGATE function\</bookmark_value\>IMCONJUGATE
The result is the conjugated complex complement to a complex number.
Syntax
IMCONJUGATE(Complex number)
Example:
=IMCONJUGATE("1+j") returns 1-j.
\<bookmark_value\>IMDIV function\</bookmark_value\>IMDIV
The result is the division of two complex numbers.
Syntax
IMDIV(Numerator;Denominator)
Numerator, Denominator: the complex numbers are entered in the form "x + yi" or "x + yj"
Example:
=IMDIV("-238+240i";"10+24i") returns 5+12i.
\<bookmark_value\>IMEXP function\</bookmark_value\>IMEXP
The result is the power of e and the complex number. The constant e has a value of approximately 2.71828182845904.
Syntax
IMEXP(Complex number)
Example:
=IMEXP("1+j") returns 1.47+2.29j (rounded).
\<bookmark_value\>IMLN function\</bookmark_value\>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(Complex number)
Example:
=IMLN("1+j") returns 0.35+0.79j (rounded).
\<bookmark_value\>IMLOG10 function\</bookmark_value\>IMLOG10
The result is the common logarithm (to the base 10) of a complex number.
Syntax
IMLOG10(Complex number)
Example:
=IMLOG10("1+j") returns 0.15+0.34j (rounded).
\<bookmark_value\>IMLOG2 function\</bookmark_value\>IMLOG2
The result is the binary logarithm of a complex number.
Syntax
IMLOG2(Complex number)
Example:
=IMLOG2("1+j") returns 0.50+1.13j (rounded).
\<bookmark_value\>IMPOWER function\</bookmark_value\>IMPOWER
The result is the ComplexNumber raised to the power of Number.
Syntax
IMPOWER(Complex number;Number)
Number: the exponent.
Example:
=IMPOWER("2+3i";2) returns -5+12i.
\<bookmark_value\>IMPRODUCT function\</bookmark_value\>IMPRODUCT
The result is the product of up to 29 complex numbers.
Syntax
IMPRODUCT(Complex number;Complex number 1;...)
Example:
=IMPRODUCT("3+4j";"5-3j") returns 27+11j.
\<bookmark_value\>IMREAL function\</bookmark_value\>IMREAL
The result is the real coefficient of a complex number.
Syntax
IMREAL(Complex number)
Example:
=IMREAL("1+3j") returns 1.
\<bookmark_value\>IMSQRT function\</bookmark_value\>IMSQRT
The result is the square root of a complex number.
Syntax
IMSQRT(Complex number)
Example:
=IMSQRT("3+4i") returns 2+1i.
\<bookmark_value\>IMSUB function\</bookmark_value\>IMSUB
The result is the subtraction of two complex numbers.
Syntax
IMSUB(Complex number 1;Complex number 2)
Example:
=IMSUB("13+4j";"5+3j") returns 8+j.
\<bookmark_value\>IMSUM function\</bookmark_value\>IMSUM
The result is the sum of up to 29 complex numbers.
Syntax
IMSUM(Complex number 1;Complex number 2;...)
Example:
=IMSUM("13+4j";"5+3j") returns 18+7j.
\<bookmark_value\>OCT2BIN function\</bookmark_value\>\<bookmark_value\>converting;octal numbers, into binary numbers\</bookmark_value\>OCT2BIN
The result is the binary number for the octal number entered.
Syntax
OCT2BIN(Number;Places)
Number: 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: the number of places to be output.
Example:
=OCT2BIN(3;3) returns 011.
\<bookmark_value\>OCT2DEC function\</bookmark_value\>\<bookmark_value\>converting;octal numbers, into decimal numbers\</bookmark_value\>OCT2DEC
The result is the decimal number for the octal number entered.
Syntax
OCT2DEC(Number)
Number: 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.
\<bookmark_value\>OCT2HEX function\</bookmark_value\>\<bookmark_value\>converting;octal numbers, into hexadecimal numbers\</bookmark_value\>OCT2HEX
The result is the hexadecimal number for the octal number entered.
Syntax
OCT2HEX(Number;Places)
Number: 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: the number of places to be output.
Example:
=OCT2HEX(144;4) returns 0064.