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Jan
20
revised Closed form for $ \prod_{k=1}^n (a+k^2) $
edited body
Jan
20
revised Closed form for $ \prod_{k=1}^n (a+k^2) $
deleted 2 characters in body
Jan
20
answered Closed form for $ \prod_{k=1}^n (a+k^2) $
Jan
20
awarded  Organizer
Jan
20
revised Expansion Of A algebric term
added 80 characters in body; edited tags
Jan
20
comment Equation $e^{\frac{1}{x}} - x =0$
Could we use Lagrange inversion theorem here? en.wikipedia.org/wiki/… c.f. also @ PM's comment and @ Lukas' answer.
Jan
20
revised Finding the definite integral of a function that contains an absolute value
added 227 characters in body
Jan
19
comment Is there a name for functions “opposite in nature” to orthogonal functions?
Thanks David. Are you using the property that the square of a function is always positive here? What if $g_n^2$ is not always positive, e.g. $g_n(x)=\sqrt{h(x)}$ for some $ h $ whose image is $[-a, a] $ ?
Jan
18
revised Is there a name for functions “opposite in nature” to orthogonal functions?
edited tags
Jan
18
revised Examples of orthogonal/orthonormal functions which are not finite degree polynomials?
edited tags
Jan
18
asked Is there a name for functions “opposite in nature” to orthogonal functions?
Jan
17
comment Examples of orthogonal/orthonormal functions which are not finite degree polynomials?
Ah I see. Is this related to the so-called Schmidt process? (related to Gram-Schmidt by any chance...)
Jan
17
revised Examples of orthogonal/orthonormal functions which are not finite degree polynomials?
added 1 character in body
Jan
17
revised Examples of orthogonal/orthonormal functions which are not finite degree polynomials?
added 64 characters in body
Jan
17
revised Examples of orthogonal/orthonormal functions which are not finite degree polynomials?
added 57 characters in body
Jan
17
revised Examples of orthogonal/orthonormal functions which are not finite degree polynomials?
edited title
Jan
17
asked Examples of orthogonal/orthonormal functions which are not finite degree polynomials?
Jan
15
comment How to prove that $\left(\sqrt{3}\sec{\frac{\pi}{5}}+\tan{\frac{\pi}{30}}\right)\tan{\frac{2\pi}{15}}=1$
In general, squaring and applying known trigonometric identities can sometimes be of help. Might not be of help here though.
Jan
13
comment How do I find the equivalence of the expression $e^{n\log(n)-(n+e)\log(n + e)}$?
Do you mean you want to find an asymptotic formula for the expression?
Jan
13
comment Unusual mathematical terms
The `Golden ratio' $\phi$.