The Art of Mathematics

Professional Formula Calculator

Professional version

 

For science and engineering — complex numbers and extended function set

Fig. 1. Librow professional formula calculator. Fig. 1. Librow professional formula calculator.

Complex numbers

 

All functions support complex argument

Librow calculator accepts both i and j as imaginary unit:

sin(1+i*2)
sin(1+j*2)

The calculator natively supports real and imaginary parts, argument and conjugate of the complex number.

Real and imaginary parts of the number z stored in memory:

re(mem[z])
im(mem[z])

Argument and conjugate of the current result:

Bessel functions

 

Both ordinary and modified Bessel functions of fractional order and complex argument

Librow calculator supports four Bessel functions of fractional order.

Bessel function of the first kind Jν:

J(1.5, 1+i*2)

Bessel function of the second kind Yν:

Y(1.5, 1+i*2)

Modified Bessel function of the first kind Iν:

I(1.5, 1+i*2)

Modified Bessel function of the second kind Kν:

K(1.5, 1+i*2)

Gamma function

 

Gamma function — extension of factorial to complex numbers

Librow calculator supports gamma function:

Γ(1+i*2)

or:

Gamma(1+i*2)

Sum and product of series

 

Native functions for sum and product of series

Librow calculator can easily calculate sum and product of long series:

//   Sum of 1/k series, k runs from 1 to 100
(k, 1, 100, 1/k)

//   Product of 1/k series, k runs from −1 to −100
(k, −1, −100, 1/k)

Support of arbitrary index step:

//   Sum of 1/(k+1) series, k runs from 0 to 100 with a step of 4
(k, 0, 100, 4, 1/(k+1))

Random numbers

 

Embedded random number generator

The calculator generates random numbers in [0, 1] range:

Ceiling and floor functions

 

Transforms of reals to integers

Librow calculator supports both ceiling and floor functions:

ceil(−1.2)
floor(1.4)

Technical data

 

Functional, robust, professional

Precision: double

Number input and output format: decimal (standard notation) and exponential (scientific notation)

Supported operators: addition, subtraction, multiplication, division

Supported functions:

RAM: min 4 MB

Size on disk: application — 3.9 MB, its help — 2.1 MB

Platform: Windows XP, Windows Vista, Windows 7, Windows 8, Windows 10; 32-bit and 64-bit

Installation

 

msi — Microsoft Installation for professional administration

Download the software, install it and register.