Given an $n$-ary $k-$valued function $f$, $gap(f)$ denotes the minimal number of essentialvariables in $f$ which become fictive when identifying any two distinctessential variables in $f$. We particularly solve a problem concerning the explicit determination of$n$-ary $k-$valued functions $f$ with $2\leq gap(f)\leq n\leq k$. Our methods yieldnew combinatorial results about the number of such functions.
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机译：给定$ n $ ary元k- $值函数$ f $，$ gap（f）$表示$ f $中必需变量的最小数量，当在$ f $中识别任何两个不同的基本变量时，这些变量将变为虚构。我们特别解决了一个关于明确确定$ n $ -ary $ k- $值函数$ f $并带有$ 2 \ leq gap（f）\ leq n \ leq k $的问题。我们的方法产生了有关此类功能数量的新组合结果。
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