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May
24
answered Solving $f(x) = x^5 +x + 1 = 0$ with halving the interval / bisection method
May
24
comment What mistake have I made when trying to evaluate the limit $\lim \limits _ {n \to \infty}n - \sqrt{n+a} \sqrt{n+b}$?
Thanks. It does. I have forgotten some of the numerical analysis stuff since I took it almost 3 years ago. I have to do a comprehensive exam next term in numerical analysis so hopefully I will learn more about it.
May
24
comment What mistake have I made when trying to evaluate the limit $\lim \limits _ {n \to \infty}n - \sqrt{n+a} \sqrt{n+b}$?
Nice answer! Where can I learn more about $\sqrt{1+\frac{a}{n}}=1+\frac{a}{2n}+O\left(\frac{1}{n^2}\right)$. It didn't occur to me right away.
May
12
awarded  Notable Question
Apr
23
comment Why do $n$ linearly independent vectors span $\mathbb{R}^{n}$?
Just a small typo: I think you mean to say $n$ linearly independent vectors
Apr
21
comment Prove that $A$ is countable.
@MathHelpNeeded That looks like a pretty good proof to me. Check out this thread for a proof for the last statement: math.stackexchange.com/questions/603456/… (the theorem that the union of a countable set of finite sets is itself countable)
Apr
18
awarded  Enthusiast
Apr
15
comment Name of the metric: $d(f,g)=\max \limits_{a\leq x \leq b} |f(x)-g(x)|$
Are you maybe looking for the $L_\infty$ norm?
Apr
15
answered Orthogonal complement of $span(M)$
Apr
13
comment Prove that $\int^2_0 x(8-x^3)^\frac{1}{3}dx=\frac{16\pi}{9\sqrt{3}}$
Nice answer. I have never come across the Beta function. Nice use of it.
Apr
12
comment Trapezoidal and Simpson's rule?
We are assuming $N$ equally spaced intervals?
Apr
10
comment Is “A New Kind of Science” a new kind of science?
He could atleast make wolframalpha free for students.
Apr
10
answered I'm wondering why is this statement true?
Apr
10
comment I'm wondering why is this statement true?
@Rubertos Since he's asking whether or not the space is Hilbert, just showing completeness may not be enough. He should check whether the norm satisfies the parallelogram law.
Apr
10
answered Find the value of $k$ (integral)
Apr
3
comment Matrix Algebra looking for 33 and 35
There are probably many ways to do this. Have you tried some combinations yourself? Furthermore, if there is no limit to the number of operations, one solution is $\frac{4}{4} + \frac{4}{4} + \ldots + \frac{4}{4}$ where you add them 33 and 35 times. I feel like there are details missing from this question, are you sure you typed it out correctly?
Apr
2
comment Math Problem (one-to-one correspondences)
consider ant A. It has three ways to get to $(2, 1)$ and $(1, 2)$ but only 1 way to get to $(0, 3)$ which is a total of 7 ways.
Apr
2
comment Math Problem (one-to-one correspondences)
isn't the probability of going through a particular path 1/7?
Apr
2
comment Find all values of $x$, linear and quadratic functions
@Aria Check your factorization. It seems that Macavity has gotten the right one. Are you sure your equation isn't $2\cos^2(x) + \cos(x) - 1 =0$?
Mar
31
comment Rational Exponents
You, indeed, have the right solution and your work/method is correct. As a future note, this stack exchange isn't really the right place for these type of questions. Hopefully, an answer will come along soon (but I don't see how it would differ)