## Meercat's Online Calculator Manual

By this calculator you can determine the value of an arbitrary arithmetic
expression using the following arithmetic operations, functions or
constants and any parenthesis structure.

Arithmetic operations

+ , - , * , / , ^

Functions

sqrt, sqr,

sin, cos, tan,

exp, ln, log, pow,

abs, round,

biko, fak, phi, phi_quant,

sum, prod

biko(n,k) |
binomial coefficient n over k |

fak(n) |
n faculty |

ln(x)=log(x) |
natural logarithm (log base e) |

pow(a,b)=a^b |
power function |

phi(z) |
distribution function of standardized normal distribution
$\Phi(x)=\int_{-\infty}^x\frac{1}{\sqrt{2\pi}} e^{-z^2/2} dz$ |

phi_quant(p) |
$p$-quantile $z_p$ of standardized normal distribution:
$\Phi(z_p)=p$, $0 \lt p \lt 1$ |

sum(f(i),i,i0,i1) |
$\displaystyle{\sum_{i=i_0}^{i_1} f(i)}$, $i_0\leq i_1$, name of summation index can be freely selected |

prod(f(i),i,i0,i1) |
$\displaystyle{\prod_{i=i_0}^{i_1} f(i)}$, $i_0\leq i_1$, name of product index can be freely selected |

Numerical constants

pi, e

Operative constants

res - the last actual result,

c1, c2, c3 - memories for interim results.

You can include these constants into arithmetical expressions.

Parentheses

( , )

cls - clear screen

reset- reset to start state

Definition of constants:

Syntax: def(name:value)

name - name of constant

value - arithmetic expression

The definition is activated by click to
=

A correct definition is confirmend by OK and the constant is diplayed in constant window.

Example: def(5pi:5*pi)

Self defined one-dimensional functions

Syntax: def(name:definition)

name - name of function and name of independent variable in brackets, e.g. f1(x)

definition - arithmetic expression depending on independent variable

Example: def(f1(x):x*x)

Each definition is to activate by click to
=

A correct definition is confirmend by OK and the functiom is diplayed in function window.

Examples:

def(tan(x):sin(x)/cos(x))

def(mysqr(z):z*z)

def(2_power(x): prod(2,i,1,x)) -> 2^x

Some examples (for copy and paste):

1+1/(1+1/(1+1))

phi_quant(0.95)

sqr(sin(1.3))+cos(1.69^0.5)*sqrt(1-sin(2-0.7)*sin(1+0.3))

sum(i*i,i,1,10)

Some further 'examples':

(1+3

1+3*a

(1-1/(ln(sqr(sin(3*pi))+sqr(cos(exp(ln(5*pi)))))))

: -)

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