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1h
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3h
comment Limit involving integral with fraction
Not that it matters for the end result, but the last fraction should be $\frac{2x\cos x^\mathbf{4}}{2x}$. Or, as @Andre suggests, $\frac{2x\cos x^4}{2\sin x\cos x}$.
3h
revised Solve logarithmic equation $ 3^{\log_3^2x} + x^{\log_3x}=162$
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3h
comment Any neat way to calculate this Vandermonde-like determinant?
Where does the inspiration come from? I worked out $|S|$ for $n=1$ and $n=2$, and then also for $n=3$ but had a computer factor the result. Seeing the square of the Vandermonde determinant in the $n=3$ case was a strong suggestion to multiply two Vandermonde matrices together.
3h
answered Any neat way to calculate this Vandermonde-like determinant?
3h
revised Any neat way to calculate this Vandermonde-like determinant?
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4h
comment Set Builder Notation for Prime Numbers
It's good, but technically, $1$, $0$, $-1$, or any negative of a prime meet this too. That's why I went with $\mathbb{Z}_{\geq2}$ in mine.
8h
comment Set Builder Notation for Prime Numbers
@JonathanPrescott OK
8h
revised Set Builder Notation for Prime Numbers
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11h
revised Finding the d value that will keep all coefficients at a minimum in a Cubic
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11h
answered Finding the d value that will keep all coefficients at a minimum in a Cubic
11h
answered Solve logarithmic equation $ 3^{\log_3^2x} + x^{\log_3x}=162$
17h
answered How to solve$\frac {1}{\sin {x}} + \frac {\sqrt {3}}{\cos {x}} = 4$
1d
comment Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
@dREaM $\{e,e\}$ just redundantly rewrites $e$. It's still a subgroup of order $1$. Think of it this way: $S_5$ has 120 elements, but if you started allowing double-counting of them, you could say it had 5389 elements if you wanted to.
1d
revised Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
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1d
answered Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
1d
answered Set Builder Notation for Prime Numbers
1d
answered imaginary number $i$ equals $-6/3.4641$?
1d
comment Why is this approximation of polynomial root so accurate?
Are $A,B,C$ positive? If so the "smallest positive real root" is the only real root.
2d
revised How to find the period of $\cos(\cos\theta)$?
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