Jason Howald
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Registered User
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Dec 6 |
awarded | ● Scholar |
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Dec 6 |
awarded | ● Supporter |
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Dec 6 |
comment |
If d/dx is an operator, on what does it operate? I am grateful to Joel for his support of the question, including this interesting answer. Certainly $\frac{d}{dx}$ is similar to a quantifier: It "shields" occurrences of the variable $x$ in its scope from direct substitution. It is defined in terms of the limit, which also binds a variable, as a quantifier could. It is a very strange quantifier, though, as $x$ once again occurs free in the ("bound"?) expression $\frac{d}{dx} x^3$ since $\frac{d}{dx} x^3 = 3x^2$. |
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Dec 6 |
awarded | ● Popular Question |
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Dec 4 |
awarded | ● Editor |
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Dec 4 |
comment |
If d/dx is an operator, on what does it operate? Thank you for the criticisms. I have rephrased to clarify my intended meaning. |
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Dec 4 |
revised |
If d/dx is an operator, on what does it operate? Rephrased, motivated by first two comments |
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Dec 4 |
asked | If d/dx is an operator, on what does it operate? |
