Floating-Point Operation may not result in Floating-Point Number

Theorem

Let a floating-point operation be performed on two floating-point numbers.

Then it is not necessarily the case that the result of that operation is itself a number in floating-point representation.

Proof

This theorem requires a proof. In particular: More background needed on how those floating-point operations combine You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): floating-point representation
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): floating-point representation