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629.

@FUNCTION=interpolation
@SYNTAX=interpolation(abscissas,ordinates,targets[,interpolation])
@DESCRIPTION=
interpolation returns interpolated values corresponding
to the given abscissa targets as a one column matrix.

@abscissas are the absicssas of the data to interpolate.
@ordinates are the ordinates of the data to interpolate.
* Strings and empty cells in @abscissas and @ordinates are simply ignored.
@targets are the abscissas of the interpolated data. If several data
are provided, they must be in the same column, in consecutive cells
@interpolation is the method to be used for the interpolation;
possible values are:
- 0: linear;
- 1: linear with averaging;
- 2: staircase;
- 3: staircase with averaging;
- 4: natural cubic spline;
- 5: natural cubic spline with averaging.

If an averaging method is used, the number of returned values
is one less than the number of targets since the evaluation is made by
averaging the interpolation over the interval between two consecutive data;
in that case, the targets values must be given in increasing order.

630.

@FUNCTION=periodogram
@SYNTAX=periodogram(ordinates,[filter,[abscissas,[interpolation,[number]]]])
@DESCRIPTION=
periodogram returns the periodogram of the data
as a one column matrix.

@ordinates are the ordinates of the data to interpolate.
@filter gives the window function to be used. Possible values are:
- 0: no filter (rectangular window);
- 1: Bartlett (triangular window);
- 2: Hahn (cosine window);
- 3: Welch (parabolic window);
@abscissas are the absicssas of the data to interpolate. If no
abscissa is given, it is supposed that the data absicssas are regularly
spaced. Otherwise, an interpolation method will be used to evaluate
regularly spaced data.
* Strings and empty cells in @abscissas and @ordinates are simply ignored.
@interpolation is the method to be used for the interpolation;
possible values are:
- 0: linear;
- 1: linear with averaging;
- 2: staircase;
- 3: staircase with averaging;
- 4: natural cubic spline;
- 5: natural cubic spline with averaging.
@number is the number of interpolated data to be used. If not given,
a default number is automatically evaluated.

631.

@FUNCTION=EXECSQL
@SYNTAX=EXECSQL(dsn,username,password,sql)
@DESCRIPTION=The EXECSQL function lets you execute a command in a database server, and show the results returned in current sheet. It uses libgda as the means for accessing the databases.
For using it, you need first to set up a libgda data source.
@EXAMPLES=
To get all the data from the table "Customers" present in the "mydatasource" GDA data source, you would use:
EXECSQL("mydatasource","username","password","SELECT * FROM customers")
@SEEALSO=READDBTABLE

632.

@FUNCTION=READDBTABLE
@SYNTAX=READDBTABLE(dsn,username,password,table)
@DESCRIPTION=The READDBTABLE function lets you get the contents of a table, as stored in a database. For using it, you need first to set up a libgda data source.
Note that this function returns all the rows in the given table. If you want to get data from more than one table or want a more precise selection (conditions), use the EXECSQL function.
@EXAMPLES=
To get all the data from the table "Customers" present in the "mydatasource" GDA data source, you would use:
READDBTABLE("mydatasource","username","password","customers")
@SEEALSO=EXECSQL

633.

@FUNCTION=NT_PHI
@SYNTAX=NT_PHI(n)
@DESCRIPTION=NT_PHI function calculates the number of integers less than or equal to @n that are relatively prime to @n.

@EXAMPLES=
@SEEALSO=NT_D, ITHPRIME, NT_SIGMA

634.

@FUNCTION=NT_MU
@SYNTAX=NT_MU(n)
@DESCRIPTION=NT_MU function (Möbius mu function) returns
0 if @n is divisible by the square of a prime .
Otherwise it returns:

-1 if @n has an odd number of different prime factors .
1 if @n has an even number of different prime factors .

* If @n = 1 NT_MU returns 1.

@EXAMPLES=
@SEEALSO=NT_D, ITHPRIME, NT_PHI

635.

@FUNCTION=NT_D
@SYNTAX=NT_D(n)
@DESCRIPTION=NT_D function calculates the number of divisors of @n.

@EXAMPLES=
@SEEALSO=ITHPRIME, NT_PHI, NT_SIGMA

636.

@FUNCTION=NT_SIGMA
@SYNTAX=NT_SIGMA(n)
@DESCRIPTION=NT_SIGMA function calculates the sum of the divisors of @n.

@EXAMPLES=
@SEEALSO=NT_D, ITHPRIME, NT_PHI

637.

@FUNCTION=ITHPRIME
@SYNTAX=ITHPRIME(i)
@DESCRIPTION=ITHPRIME function returns the @ith prime.

@EXAMPLES=
@SEEALSO=NT_D, NT_SIGMA

638.

@FUNCTION=ISPRIME
@SYNTAX=ISPRIME(i)
@DESCRIPTION=ISPRIME function returns TRUE if @i is prime and FALSE otherwise.

@EXAMPLES=
@SEEALSO=ITHPRIME, NT_D, NT_SIGMA