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

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_quant(p) p-quantile of standardized normal distribution, 0<p<1
sum(f(i),i,i0,i1) sum over f(i) for i=i0,,i1,
name of summation index can be freely selected
prod(f(i),i,i0,i1) product over f(i) for i=i0,,i1,
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)))))))
: -)

SURE model routines

eva

Function: Computes to a given evaluation structure and corresponding checklist data estimation values for the scores $Q(C)$, $Q(B_1),...,Q(B_r)$ and $Q_k(C)$ for $k=1,...,n$.

Syntax: eva(sure_data_record)

The sure_data_record contains in form of a standard text file the model structure as well the checklist data in form of a CSV(comma separated values)-file.

Structure of sure_data_record:

$r,$
$s_1,...,s_r,$
$x_{11}^{(1)},...,x_{1s_1}^{(1)},...,x_{r1}^{(1)},...,x_{rs_r}^{(1)},$
$\cdots$
$x_{11}^{(n)},...,x_{1s_1}^{(n)},...,x_{r1}^{(n)},...,x_{rs_r}^{(n)}$

Here denotes:
$r$ - number of key goals
$s_i$ - number of sub goals of $i$-th key goal, $i=1,...,r$
$x_{ij}^{(k)}$ - observation value for the $j$-th sub goal of $i$-th key goal in $k$-th check list, $k=1,...,n$,
$n$ - sample size

For a more transparent presentation the sure_data_record can contain spaces and line breaks.

Example

Input

Result

ceva

Function: Computes to a given evaluation structure and corresponding checklist data estimation values for the calibrated scores $cQ(C)$, $cQ(B_1),...,cQ(B_r)$ and $cQ_k(C)$ for $k=1,...,n$.

Syntax: ceva(sure_data_record)

For definition of sure_data_record see we refer to eva-procedure.

Example:

Input

Result

eva_html_tab0

Function: Generates to a given SURE model data record an HTML-table with the corresponding score estimation values obtained by eva-procedure.

Syntax: eva_html_tab0(sure_data_record)

For definition of sure_data_record see we refer to eva-procedure.

Example:

Input

Result

ceva_html_tab0

Function: Generates to a given SURE model data record an HTML-table with the corresponding calibrated score estimation values obtained by ceva-procedure.

Syntax: ceva_html_tab0(sure_data_record)

For definition of sure_data_record see we refer to eva-procedure.

Example:

Input

Result

eva_rand

Function: Generates random SURE model data record.

Syntax: eva_rand $(r,s_1,...,s_r,x_0,x_1,x_0^*,x_1^*,n)$

$r$ number of key goals
$s_i$ number of sub goals of $i$-th key goal, $i=1,...,r$
$x_0,x_1$ bounds for evaluation interval, $x_0\leq x_1$
$x_0^*,x_1^*$ bound for random scores, $x_0\leq x_0^*\le x_1^*\le x_1$
$n$ sample size

The generated sample is displayed in the result window. By copy and past the obtained data set can be processed further by other SURE tools.
Hint: By randomization of start value for random generator each time an other data record is simulated.

Example:

Input

Result

eva_tex_tab0

Function: Generates to a given SURE model data record a LaTeX-table with the corresponding score estimation values obtained by eva-procedure. The check list data are vertically oriented.

Syntax: eva_tex_tab0(sure_data_record)

For definition of sure_data_record see we refer to eva-procedure.

Example:

Input

Result

ceva_tex_tab0

Function: Generates to a given SURE model data record a LaTeX-table with the corresponding calibrated score estimation values obtained by ceva-procedure. The check list data are vertically oriented.

Syntax: ceva_tex_tab0(sure_data_record)

For definition of sure_data_record see we refer to eva-procedure.

Example:

Input

Result

eva_tex_tab1

Function: Generates to a given SURE model data record a LaTeX-table with the corresponding score estimation values obtained by eva-procedure. The check list data are horizontally oriented.

Syntax: eva_tex_tab1(sure_data_record)

For definition of sure_data_record see we refer to eva-procedure.

Example:

Input

Result

ceva_tex_tab1

Function: Generates to a given SURE model data record a LaTeX-table with the corresponding calibrated score estimation values obtained by ceva-procedure. The check list data are horizontally oriented.

Syntax: ceva_tex_tab1(sure_data_record)

For definition of sure_data_record see we refer to eva-procedure.

Example:

Input

Result

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