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1d
comment Don't know how to approach $x \cos(x) - 2 \cos^2(x) = 2$
$5.2008013281450192338$ is not recognized by the ISC isc.carma.newcastle.edu.au
1d
revised Don't know how to approach $x \cos(x) - 2 \cos^2(x) = 2$
misprint
1d
comment Analytic continuation of a real function
@JohnFernley ... That is the "identity theorem" mentioned before. If two analytic funtions defined on a connected domain agree on a set with a limit point (for example, the real line is such a set), then they agree on the whole domain.
1d
awarded  Revival
1d
comment How to find the radius of convergence of $\sum_{n=0}^{\infty}[2^{n}z^{n!}]$
What you computed is the radius of convergence for $\sum 2^n z^n$. For radius of convergence of $\sum 2^n z^{n!}$ you should use the $n!$ order root of $2^n$.
2d
answered Analytic continuation of a real function
2d
comment Analytic continuation of a real function
@YoTengoUnLCD ... Uniqueness of the extension (if it exists) is the identity theorem. But he is asking about existence of the extension.
2d
comment Expressing integral of u^v in terms of integral of u and v
See the similar question on integral of a product: math.stackexchange.com/questions/50671
2d
answered Expressing integral of u^v in terms of integral of u and v
2d
comment Why does the harmonic series diverge but the p-harmonic series converge
So, first understand intuitively whey $\int_1^\infty dx/x$ diverges but $\int_1^\infty dx/x^2$ converges. Then it should not be so surprising that the same thing is true for series.
Apr
27
comment bessel function integration
He said $P=1$ so I left out that factor. I also put in what he said $J$ is.
Apr
26
answered Real problems solved with systems
Apr
26
comment Metric space of non empty closed bounded parts of $R$ with the Hausdorff metric
For a mathematically correct way, you might guess what the limit is, then use the $\epsilon$ type definition to prove convergence to it.
Apr
26
comment Derivative of a self-referencing function
Your calculus textbook should have a section on "implicit differentiation".
Apr
26
comment Is $\omega-1$ finite?
Next you can try $\omega/2$ or $\sqrt{\omega}$ or $\omega^{1/\omega}$. All meaningless in the ordinals. But investigate the surreal numbers.
Apr
25
revised Solution of $x^2e^x = y$
added 58 characters in body
Apr
25
answered Solution of $x^2e^x = y$
Apr
25
comment Show that the sum $\sum_{k = 0}^n 2^k \binom{n}{k}$ is equal to $3^n$
T. Bongers means "binomial theorem". Maybe Fourier wants a combinatorial interpretation.
Apr
25
comment Finite Integral involving Bessel Function, $J_1$
For even $n$, you can get the integral $\int x J_n(x)\;dx$ not using Struve.
Apr
25
awarded  Nice Answer