In the fig. 75 two solutions of
the problem about “Nautilus” differ not only the way of writing the equations
forming the solvable system (siplification – complication), but also the method of call the function Find, that returns the solution of the problem. In the first case
(simplified
formulas) the function Find is inputted in the output operator “=”[1],
but in
the second case (complication of the formulas) – in the input operator “:=”. In the fig. 75 the choice of way of call the
function Find have not had an
influence on search of the result but in the example of the tip 77 – way of call the
function has an influence very much.

In the fig. 77 the function Find returns not only one but a *set*
of solutions (a matrix). For it is necessary to put down the value of a
range (Range variable
– “dummy vector”[2]) but not scalar value in one of
three constants (first
approximation: in our
case it is d – diameter of the submarine). This method is described in the Mathcad documentation but for the
problem with one unknown. Point is that this method can be used if we insert the function Find into the
operator “=”. The
operator “:=” gives the
bug here. Obviously it
is concerned with that the solution is a Nested Array – vector which elements are new vectors. In the fig. 77
the transposition operator of
a matrix and the function of horizontal mating of a matrix (augment) are used in addition for formatting
the result. All these
allowed to obtain the result as a tabular with the commentaries in a “hat” where there are explanations. It is possible draw a graph by the
tabular data but we do it another way (in the tip 78).

[1]
In addition the reply was
transported for it became more compact. We’ll be back to this method in the given tip.
Transportation makes the note
not only more compact but also more “logical”: the
variables (L, L_{Ö}) are written “aflat”
– as well we obtain the reply “aflat” – (80.03 4.75) m.

[2]
It is the author’s opinion that “dummy vector” is Range Variable. One the one hand this variable unites scalar
values as a vector does. But
on the other hand it is impossible to refer these scalar values via *index*
(“non-index vector” is one more name).