What is the molecular formula of a compound that is composed of 94.1% O and 5.9% H with a molar mass of 34g
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That factor appears when you actually do the quite complex maths that lead to the principle; it's quantum mechanics, and it's not something that can be shown easily.
What is important to note is that this factor
is not important. What is important is that the uncertainty 
is approximately of the order of 
, which is a characteristic value that appears in many (most) formulas dealing with quantum mechanics.
What is important to note is that this factor