Add-in Functions, List of Analysis Functions Part One
\<bookmark_value\>Bessel functions\</bookmark_value\>
BESSELI
Calculates the modified Bessel function of the first kind In(x).
BESSELI(x;n)
x: the value on which the function will be calculated.
N is a positive integer (N >= 0) representing the order of the Bessel function In(x)
=BESSELI(3.45, 4), returns 0.651416873060081
=BESSELI(3.45, 4.333), returns 0.651416873060081, same as above because the fractional part of N is ignored.
=BESSELI(-1, 3), returns -0.022168424924332
BESSELJ
Calculates the Bessel function of the first kind Jn(x) (cylinder function).
BESSELJ(x;n)
x: the value on which the function will be calculated.
N is a positive integer (N >= 0) representing the order of the Bessel function Jn(x)
=BESSELJ(3.45, 4), returns 0.196772639864984
=BESSELJ(3.45, 4.333), returns 0.196772639864984, same as above because the fractional part of N is ignored.
=BESSELJ(-1, 3), returns -0.019563353982668
BESSELK
Calculates the modified Bessel function of the second kind Kn(x).
BESSELK(x;n)
X is the strictly positive value (X > 0) on which the function will be calculated.
N is a positive integer (N >= 0) representing the order of the Bessel function Kn(x)
=BESSELK(3.45, 4), returns 0.144803466373734
=BESSELK(3.45, 4.333), returns 0.144803466373734, same as above because the fractional part of N is ignored.
=BESSELK(0, 3), returns Err:502 – invalid argument (X=0)
BESSELY
Calculates the Bessel function of the second kind Yn(x).
BESSELY(x;n)
X is the strictly positive value (X > 0) on which the function will be calculated.
N is a positive integer (N >= 0) representing the order of the Bessel function Yn(x)
=BESSELY(3.45, 4), returns -0.679848116844476
=BESSELY(3.45, 4.333), returns -0.679848116844476, same as above because the fractional part of N is ignored.
=BESSELY(0, 3), returns Err:502 – invalid argument (X=0)
BIN2DEC
The result is the decimal number for the binary number entered.
BIN2DEC (Number)
Number: the binary number. The number can have a maximum of 10 places (bits). The most significant bit is the sign bit. Negative numbers are entered as two's complement.
=BIN2DEC(1100100) returns 100.
BIN2HEX
The result is the hexadecimal number for the binary number entered.
BIN2HEX(Number;Places)
Number: the binary number. The number can have a maximum of 10 places (bits). The most significant bit is the sign bit. Negative numbers are entered as two's complement.
Places: the number of places to be output.
=BIN2HEX(1100100;6) returns 000064.
BIN2OCT
The result is the octal number for the binary number entered.
BIN2OCT(Number;Places)
Number: the binary number. The number can have a maximum of 10 places (bits). The most significant bit is the sign bit. Negative numbers are entered as two's complement.
Places: the number of places to be output.
=BIN2OCT(1100100;4) returns 0144.
DEC2BIN
The result is the binary number for the decimal number entered between -512 and 511.
DEC2BIN(Number;Places)
Number: the decimal number. If \<emph\>Number\</emph\> is negative, the function returns a binary number with 10 characters. The most significant bit is the sign bit, the other 9 bits return the value.
Places: the number of places to be output.
=DEC2BIN(100;8) returns 01100100.
DEC2HEX
The result is the hexadecimal number for the decimal number entered.
DEC2HEX(Number;Places)
Number: the decimal number. If \<emph\>Number\</emph\> is negative, the function returns a hexadecimal number with 10 characters (40 bits). The most significant bit is the sign bit, the other 39 bits return the value.
Places: the number of places to be output.
=DEC2HEX(100;4) returns 0064.
DEC2OCT
The result is the octal number for the decimal number entered.
DEC2OCT(Number; Places)
Number: the decimal number. If \<emph\>Number\</emph\> is negative, the function returns an octal number with 10 characters (30 bits). The most significant bit is the sign bit, the other 29 bits return the value.
Places: the number of places to be output.
=DEC2OCT(100;4) returns 0144.
DELTA
The result is TRUE (1) if both numbers, which are delivered as an argument, are equal, otherwise it is FALSE (0).
DELTA(Number 1;Number 2)
=DELTA(1;2) returns 0.
ERF
Returns values of the Gaussian error integral.
ERF(Lower limit;Upper limit)
Lower limit; lower limit of integral.
UpperLimit is optional. It is the upper limit of the integral. If this value is missing, the calculation takes place between 0 and the lower limit.
=ERF(0;1) returns 0.842701.
ERF.PRECISE
Returns values of the Gaussian error integral between 0 and the given limit.
ERF.PRECISE(LowerLimit)
LowerLimit is the limit of the integral. The calculation takes place between 0 and this limit.
=ERF.PRECISE(1) returns 0.842701.
\<bookmark_value\>ERFC function\</bookmark_value\>ERFC
Returns complementary values of the Gaussian error integral between x and infinity.
ERFC(Lower limit)
Lower limit; lower limit of integral
=ERFC(1) returns 0.157299.
\<bookmark_value\>ERFC function\</bookmark_value\>ERFC.PRECISE
Returns complementary values of the Gaussian error integral between x and infinity.
ERFC.PRECISE(LowerLimit)
Lower limit; lower limit of integral
=ERFC.PRECISE(1) returns 0.157299.
GESTEP
The result is 1 if Number is greater than or equal to Step.
GESTEP(Number; Step)
=GESTEP(5;1) returns 1.
HEX2BIN
The result is the binary number for the hexadecimal number entered.
HEX2BIN(Number;Places)
Number is a hexadecimal number or a string that represents a hexadecimal number. It 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.
=HEX2BIN("6a";8) returns 01101010.
HEX2DEC
The result is the decimal number for the hexadecimal number entered.
HEX2DEC(Number)
Number is a hexadecimal number or a string that represents a hexadecimal number. It 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.
=HEX2DEC("6a") returns 106.
HEX2OCT
The result is the octal number for the hexadecimal number entered.
HEX2OCT(Number;Places)
Number is a hexadecimal number or a string that represents a hexadecimal number. It 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.
=HEX2OCT("6a";4) returns 0152.