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Where k - number
of points in each segment.

Extrema of such
measure are determined by zero values of its derivative:

The denominator
of resulting expression is positive at any values of entering variables.
The numerator can be transformed to the view

This equation
has five solutions, one of which is x_1 = 0, and four others :

Two solutions
which are determined by a difference of the expressions placed under
sign of exterior square root, have imaginary values at any values of
entering variables (as x_0> 0, under the initial agreement - see fig.5a).
Others two have real values, when

Simplifying this
expression, we shall obtain that at D < sqrt(3)*x_0 investigated conformity
function has three extremums: one central and two symmetric side ones. It
is easy to show, that:

It is obvious,
if D < sqrt(3)*x_0, then S"(x)|_0 > 0, i.e. the central extremum
is a local minimum of considered conformity function of and, hence, adjacent
side exremums are local maximums of this function (see fig.5b). At
D > sqrt(3)*x_0, these maximums merge in one (see fig.5c). Positions
of maximums depending on a value of parameter D are shown on fig.5d (see
the formula for an evaluation of x_2... x_5).