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LSpice
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approximating a smooth Smooth approximation for non differentiable function

Let $f(t) = \min(\frac{1}{|t|}, 1)$$f(t) = \min(\frac{1}{\lvert t\rvert}, 1)$. I would like to find a smooth approximating function $g$ such that $f(t) \leq g(t)$ for all real $t$. Is there a nice function $g$ out there? Any suggestion appreciated!

approximating a smooth approximation for non differentiable function

Let $f(t) = \min(\frac{1}{|t|}, 1)$. I would like to find a smooth approximating function $g$ such that $f(t) \leq g(t)$ for all real $t$. Is there a nice function $g$ out there? Any suggestion appreciated!

Smooth approximation for non differentiable function

Let $f(t) = \min(\frac{1}{\lvert t\rvert}, 1)$. I would like to find a smooth approximating function $g$ such that $f(t) \leq g(t)$ for all real $t$. Is there a nice function $g$ out there? Any suggestion appreciated!

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Johnny T.
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approximating a smooth approximation for non differentiable function

Let $f(t) = \min(\frac{1}{|t|}, 1)$. I would like to find a smooth approximating function $g$ such that $f(t) \leq g(t)$ for all real $t$. Is there a nice function $g$ out there? Any suggestion appreciated!