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Jul
2
reviewed Close Find the integral closure of an integral domain in its field of fractions
Jul
2
reviewed Close dependent variable change attribution
Jul
2
reviewed Looks OK Can we take out a constant while differentiating?
Jul
2
reviewed Approve suppose $a_n>1$ $a_n$is non-decreasing and bounded. prove: $\sum_{n=-1}^{\infty}(1-\frac{a_n}{a_{n+1}})\frac{1}{\sqrt{a_{n+1}}}$ converges
Jun
25
awarded  Disciplined
Jun
13
reviewed Reject Exercise $1.8$ of chapter one in Hartshorne.
Jun
12
awarded  Tumbleweed
Jun
8
comment Solving for n in the equation $\left ( \frac{1}{2} \right )^{n}+\left ( \frac{1}{4} \right )^{n}+\left ( \frac{3}{4} \right )^{n}=1$
@RoryDaulton I do not want to be rude. But if it is not proved the convergence of the sequence $x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$ to $f(x)=0.25^x+0.5^x+0.75^x-1$ and $x_0 = 1.5$ converge then your answer is not correct.
Jun
8
comment Solving for n in the equation $\left ( \frac{1}{2} \right )^{n}+\left ( \frac{1}{4} \right )^{n}+\left ( \frac{3}{4} \right )^{n}=1$
@RoryDaulton Another point which I understand is that you are assuming tacitly that if the method of bisection converges then Newton-Raphson method converge. You really mean it?
Jun
8
comment Solving for n in the equation $\left ( \frac{1}{2} \right )^{n}+\left ( \frac{1}{4} \right )^{n}+\left ( \frac{3}{4} \right )^{n}=1$
@RoryDaulton I think that to ensure convergence should use some type of Kantorovich's theorem for Newton methold to ensure the convergence of the sequence obtained by Newton's menthold.
Jun
8
comment Solving for n in the equation $\left ( \frac{1}{2} \right )^{n}+\left ( \frac{1}{4} \right )^{n}+\left ( \frac{3}{4} \right )^{n}=1$
@Rory Daulton It is necessary to prove that the sequence which is obtained from the Newton-Raphson method converges when $x_0 = 1.5$.
Jun
8
reviewed Approve Solving for n in the equation $\left ( \frac{1}{2} \right )^{n}+\left ( \frac{1}{4} \right )^{n}+\left ( \frac{3}{4} \right )^{n}=1$
Jun
8
reviewed Reject Proving that average value of $u$ around a circle is the value of $u$ at the centre.
Jun
7
reviewed Close Find $a,b$ such that $x_1,x_2,x_3,x_4$ to be in an arithmetic progression
Jun
7
reviewed Close Expectation of functions of the random variables
Jun
7
reviewed Leave Open Probability about confidence interval
Jun
7
reviewed Close Margin of error of poll.
Jun
7
reviewed Close Motivation of Lebesgue differentiation theorem
Jun
7
reviewed Close Finding the derivative to nth order
Jun
7
reviewed Close Is $\sqrt{\log (n)}=\frac{1}{\sqrt{2}}*(\log n)$?