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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 $\sqrt{\log (n)}=\frac{1}{\sqrt{2}}*(\log n)$?
Jun
7
reviewed Reject Universal enveloping algebra of sl2
Jun
7
reviewed Reject Walk me through step by step on inverse problem
Jun
7
accepted $ d(x,y)^2 \le d(x,z)^2 - d(y,z)^2\color{}{+\varphi\big(x,y,z,d(x,y),d(y,z) \big)}? $
Jun
6
revised Calculating the convex conjugate of the function $f(x)=\lim_{n\to \infty}\left(-\frac{1}{n}\log \sum_{k=1}^n e^{a_k\cdot x+b_k}\right)$.
Simplifying notation.