shanepitts
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How does e-Δ2/δ2 ≈ 1-Δ2/δ2
When Δ<<δ ?
I'm sure it's a basic summation I'm unaware of.
When Δ<<δ ?
I'm sure it's a basic summation I'm unaware of.
The discussion centers on the approximation e-Δ2/δ2 ≈ 1-Δ2/δ2 when Δ is significantly smaller than δ. This approximation arises from the Taylor expansion of the exponential function, specifically e^x = 1 + x + x²/2! + ..., where lower order terms dominate as x approaches zero. The key takeaway is that for small values of Δ relative to δ, the exponential function can be simplified effectively using its Taylor series expansion.
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