Add-in Functions, List of Analysis Functions Part Two

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".

Приклад

=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.

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".

Приклад

=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.

Властивість	Units
Ширина	g, sg, lbm, u, ozm, stone, ton, grain, pweight, hweight, shweight, brton
Довжина	m, mi, Nmi, in, ft, yd, ang, Pica, ell, parsec, lightyear, survey_mi
Час	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
Степінь	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
Швидкість	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:

Syntax

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.

Приклади

=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.

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.

Приклад

=FACTDOUBLE(5) returns 15.

=FACTDOUBLE(6) returns 48.

=FACTDOUBLE(0) returns 1.

IMAGINARY

The result is the imaginary coefficient of a complex number.

Syntax

IMAGINARY("ComplexNumber")

Приклад

=IMAGINARY("4+3j") returns 3.

IMARGUMENT

The result is the argument (the phi angle) of a complex number.

Syntax

IMARGUMENT("ComplexNumber")

Приклад

=IMARGUMENT("3+4j") returns 0.927295.

IMCONJUGATE

The result is the conjugated complex complement to a complex number.

Syntax

IMCONJUGATE("ComplexNumber")

Приклад

=IMCONJUGATE("1+j") returns 1-j.

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".

Приклад

=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.

Syntax

IMEXP("ComplexNumber")

Приклад

=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.

Syntax

IMLN("ComplexNumber")

Приклад

=IMLN("1+j") returns 0.35+0.79j (rounded).

IMLOG10

The result is the common logarithm (to the base 10) of a complex number.

Syntax

IMLOG10("ComplexNumber")

Приклад

=IMLOG10("1+j") returns 0.15+0.34j (rounded).

IMLOG2

The result is the binary logarithm of a complex number.

Syntax

IMLOG2("ComplexNumber")

Приклад

=IMLOG2("1+j") returns 0.50+1.13j (rounded).

IMPOWER

The result is the ComplexNumber raised to the power of Number.

Syntax

IMPOWER("ComplexNumber"; Number)

Number is the exponent.

Приклад

=IMPOWER("2+3i";2) returns -5+12i.

IMPRODUCT

The result is the product of up to 29 complex numbers.

Syntax

IMPRODUCT("ComplexNumber"; "ComplexNumber1"; ...)

Приклад

=IMPRODUCT("3+4j";"5-3j") returns 27+11j.

IMREAL

The result is the real coefficient of a complex number.

Syntax

IMREAL("ComplexNumber")

Приклад

=IMREAL("1+3j") returns 1.

IMSQRT

The result is the square root of a complex number.

Syntax

IMSQRT("ComplexNumber")

Приклад

=IMSQRT("3+4i") returns 2+1i.

IMSUB

The result is the subtraction of two complex numbers.

Syntax

IMSUB("ComplexNumber1"; "ComplexNumber2")

Приклад

=IMSUB("13+4j";"5+3j") returns 8+j.

IMSUM

The result is the sum of up to 29 complex numbers.

Syntax

IMSUM("ComplexNumber1"; "ComplexNumber2"; ...)

Приклад

=IMSUM("13+4j";"5+3j") returns 18+7j.

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.

Приклад

=OCT2BIN(3;3) returns 011.

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.

Приклад

=OCT2DEC(144) returns 100.

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.

Приклад

=OCT2HEX(144;4) returns 0064.