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base case

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This is the probability of each base case holding the particular value, if the events are independent.
en.wikipedia.org
If is empty, then the theorem is vacuously true and the base case for induction is verified.
en.wikipedia.org
By this base case and recursive rule, one can generate the set of all natural numbers.
en.wikipedia.org
The base case is actually a special case of the induction rule, with 0 taken as a label for the least ordinal.
en.wikipedia.org
Neither equation by itself constitutes a complete definition; the first is the base case, and the second is the recursive case.
en.wikipedia.org
The first step, known as the base case, is to prove the given statement for the first natural number.
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Unraveling the solution will be recursive, starting from the top and continuing until we reach the base case, i.e. multiplication of single matrices.
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As a base case, is a tree, then it has no bounded faces and is zero-dimensional and has an empty basis.
en.wikipedia.org
In this case whether the next step will result in the base case is checked before the function call, avoiding an unnecessary function call.
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Applying the induction rule repeatedly, starting from the independently proved base case, proves many, often infinitely many, other cases.
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