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  1. Why is the exponential integral $\\operatorname{Ei}(x)$ the ...

    Oct 17, 2019 · And likewise for x <0 x <0: Ei(x)= Ei(−1)− ∫1 −x e−t t dt Ei (x) = Ei (1) ∫ x 1 e t t d t which are both easily differentiated using the fundamental theorem of calculus, now that we …

  2. How Do I Understand $e^i$, the Euler Form of Complex Number

    Feb 18, 2013 · Raising something to an imaginary number is weird, I have a hard time wrapping my head around that. And e seems even more common and comes up in many situations, …

  3. Quiz: Spelling- 'ie' or 'ei'? - UsingEnglish.com

    Quiz: Spelling- 'ie' or 'ei'? This is a beginner/elementary-level quiz containing 10 multichoice quiz questions from our 'spelling and punctuation' category. Simply answer all questions and press …

  4. Inverse function of the Exponential Integral $\\mathrm{Ei^{-1}}(x)$

    Apr 19, 2024 · This result can be obtained directly from a Maclaurin expansion of the function. By denoting \begin {equation} y=\mathrm {Ei}^ {-1} (x) \end {equation} the integral ...

  5. What is $\\operatorname{Ei}(x)$? - Mathematics Stack Exchange

    Ei(x) Ei (x) is a special function and is generally agreed to be considered useful enough to have it's own place amongst the special functions.

  6. How to calculate the integral of exponential functions?

    Feb 17, 2019 · Having an integral like $\int_ {2}^ {10} {\frac {x} {\ln x}}dx$ How does this function turns to an exponential integral of the form: $ \operatorname {Ei} (x)=-\int ...

  7. Prove that $e^{i\\pi} = -1$ - Mathematics Stack Exchange

    When I first found out that eiπ = −1 e i π = 1, I was blown away. Does anyone here know one of (many I'm sure) proofs of this phenomenal equation? I can perform all of the algebra to get the …

  8. e.i. or e.g.? | UsingEnglish.com ESL Forum

    Mar 12, 2005 · First, it's not "e.i" it's "i.e." Both "i.e." and "e.g." are from Latin and have different meanings and uses: i.e. = "id est" which means approximately "that is [to say]" Use it to …

  9. How to prove Euler's formula: $e^{it}=\\cos t +i\\sin t$?

    Aug 28, 2010 · Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and …

  10. asymptotic for the complex exponential integral Ei (s)

    Oct 19, 2021 · EDIT: I don't know why, but information on the web about the complex function $\operatorname {Ei} (s)$ is very scarce. But it's an important function used a lot in analytic …