Tyler Hilton
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 12h awarded Enthusiast Apr15 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? Apr15 answered Orthogonal complement of $span(M)$ Apr13 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. Apr12 comment Trapezoidal and Simpson's rule? We are assuming $N$ equally spaced intervals? Apr10 comment Is “A New Kind of Science” a new kind of science? He could atleast make wolframalpha free for students. Apr10 answered I'm wondering why is this statement true? Apr10 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. Apr10 answered Find the value of $k$ (integral) Apr3 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? Apr2 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. Apr2 comment Math Problem (one-to-one correspondences) isn't the probability of going through a particular path 1/7? Apr2 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 $2\cos^2(x) + \cos(x) - 1 =0$? Mar31 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) Mar26 comment Prove there exists an element $x\in X$, such that $\|x\|=1$ and $d(x,M)=1$. @Shalop how does a 1D subspace, say $M$, imply the conclusion that $||x|| =1$ and $d(x, M) = 1$? Mar26 comment What is the Coefficient Matrix of $T(p(t))=\int_0^t\int_0^yp(x)dxdy$ that maps $P_3\rightarrow P_5$? Where do we see that $p(x) = x^n$ is given. Am I just too tired to see it :P ? Mar26 comment Monotone & bounded of an integral function . If I may, if $f(t)$ is Riemann integrable, why can we say $g(x)$ is bounded? Mar26 comment How can $0!=1$ if the definition of factorial is $n!=n\times (n-1)!$ Wow, this is my first time seeing this view. This is fantastic, thanks! Mar10 awarded Notable Question Mar10 awarded Yearling