Wallis's Formula and the Probability Integral
James R. Schatz
TL;DR
This paper demonstrates that proofs of Wallis's formula and the probability integral are interconnected, showing that proving one inherently proves the other, highlighting their mathematical equivalence.
Contribution
It reveals that any proof of Wallis's formula or the probability integral simultaneously proves both, establishing their logical equivalence.
Findings
Proofs of Wallis's formula and the probability integral are equivalent.
Proving one of these formulas automatically proves the other.
The paper clarifies the logical connection between these two mathematical results.
Abstract
In this note we show that any proof of Wallis's formula or of the probability integral formula proves both assertions.
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Taxonomy
TopicsAdvanced Mathematical Identities · History and Theory of Mathematics · Probability and Statistical Research