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  • Why is the exponential integral $\\operatorname{Ei}(x)$ the . . .
    I am aware that Ei(x) Ei (x) is indeed the antiderivative of ex x e x x However, the exponential integral is defined as:
  • Inverse function of the Exponential Integral $\\mathrm{Ei^{-1}}(x)$
    Ei−1(x) = log μ +∑n=1∞ xn n!(d dt)n−1(t − log μ Ei(t))n∣∣∣ t=log μ With this expression, we immediatly see that the formula holds for the constant term, and we can compute the terms one by one with L'Hôpital's rule However proving the general formula and making the polynomial sequence appear seems to be much more difficult
  • 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 −1 − 1 But, where does this come from? What is the derivation?
  • logic - I dont get how universal generalization works? is my . . .
    I don't get how "universal generalization" works? is my understanding of UI, EI, EG correct? Ask Question Asked 7 years, 1 month ago Modified 7 years, 1 month ago
  • e. i. or e. g. ? | UsingEnglish. com ESL Forum
    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 expand further on a term or statement: The countries of North America, i e , Canada, the US and Mexico e g = "exempli gratia" which means approximately "for [the sake of] example" Use it to introduce an example or
  • How Do I Understand $e^i$, the Euler Form of Complex Number
    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, such as: the non-geometric definition of sin, the fourier transform, eπi = − 1 !?! (see, for instance, here) I'd really like to have some light shed on the matter How do I begin to form an intuitive grasp of ei ?
  • 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 the 'Grade Me' button to see your score This exercise is also available as a printable worksheet
  • How to calculate the integral of exponential functions?
    Concerning the evaluation of it, you can use the expansion Ei(u) = γ + log(u) +∑n=1∞ un nn! Ei (u) = γ + log (u) + ∑ n = 1 ∞ u n n n! and truncate when you consider that you have a sufficient accuracy For your case, truncating to p p terms, we should have as result





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