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(2 ) The " Herbrand universe of a closed formula in Skolem normal form"
If the number of representations is finite then a further question is to give a closed formula for this number.
There is indeed no closed formula like the one for sums . contribs 13 : 45, 13 January 2006 ( UTC)
:I've got a recursive solution, but I'm not sure how ( or if it's possible ) to get a closed formula.
The reverse conversion is harder : given X-Y-Z we can immediately get longitude, but no closed formula for latitude and height exists.
Weyl's formula is a closed formula for the ?, in terms of other objects constructed from " G " and its Lie algebra.
In Sunday's Italian Grand Prix, Schumacher held off BMW-Williams driver Juan Pablo Montoya and won one of the closest Formula One races in years.
In sharp contrast, there is no elementary closed formula for the perimeter length of an ellipse ( excepting the special case of a circle ).
The simplest such functions are " closed formulas ", which can be expressed as a composition of elementary functions such as factorials, powers, and so on.
A major mathematical difficulty in symbolic integration is that in many cases, a closed formula for the antiderivative of a rather simple-looking function does not exist.