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Apr
6
asked Proof that derivative operator cannot be written in terms of composition operator (without limits)
Apr
4
asked $\gamma=0$? Where is my error?
Apr
4
comment Does it make sense to learn any other language except English, being a mathematician?
@Howard Langtone consider Gelfond, Calculus of finite differences (1959). inis.jinr.ru/sl/vol1/UH/_Ready/Mathematics/… It has been translated to English only in 1971 in India. It is the only book where I found criteria of possibility to represent an analytic function as Newton series.
Apr
2
revised How to solve the following equation? $\left(\sqrt{u^2-1}+u\right)^{1/u}=\pi ^{1/\pi }$
edited tags
Apr
2
accepted How to solve the following equation? $\left(\sqrt{u^2-1}+u\right)^{1/u}=\pi ^{1/\pi }$
Apr
2
asked How to solve the following equation? $\left(\sqrt{u^2-1}+u\right)^{1/u}=\pi ^{1/\pi }$
Apr
1
comment How to solve this equation? ($2 a x^{-\frac{1}{a ^2}}=x^{-1/a }-x^{1/a }$)
Why is the downvote?
Apr
1
comment How to solve this equation? ($2 a x^{-\frac{1}{a ^2}}=x^{-1/a }-x^{1/a }$)
@Mufasa how to solve it for $y$?
Apr
1
asked How to solve this equation? ($2 a x^{-\frac{1}{a ^2}}=x^{-1/a }-x^{1/a }$)
Apr
1
comment Has anybody ever considered “full derivative”?
@columbus8myhw this is not closed form...
Apr
1
comment Has anybody ever considered “full derivative”?
@columbus8myhw it is not equal to e.
Apr
1
comment Has anybody ever considered “full derivative”?
@columbus8myhw I think e can be expressed in closed form by modifying the formula.
Mar
28
comment Find limit $\lim_{a\to 0} \, \frac{\left(a^{2 \varepsilon }-1\right) a^{x-\varepsilon }}{2 \varepsilon \log (a)}$
@Martin R as $\log |a|$
Mar
28
revised Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$
deleted 1 character in body
Mar
28
revised Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$
added 180 characters in body
Mar
28
comment Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$
@Timbuc en.wikipedia.org/wiki/Non-standard_analysis
Mar
28
comment Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$
@abel Cosine integral mathworld.wolfram.com/CosineIntegral.html
Mar
28
asked Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$
Mar
28
comment Find limit $\lim_{a\to 0} \, \frac{\left(a^{2 \varepsilon }-1\right) a^{x-\varepsilon }}{2 \varepsilon \log (a)}$
@Arpan Banerjee we get infinity in both numerator and denomenator with this rule. If u know how to apply it properly, make an answer please.
Mar
28
comment Find limit $\lim_{a\to 0} \, \frac{\left(a^{2 \varepsilon }-1\right) a^{x-\varepsilon }}{2 \varepsilon \log (a)}$
@Arpan Banerjee logarithm is not differentiable at 0, L'Hopital's rule is not applicable