cactus314
Reputation
11,288
Top tag
Next privilege 15,000 Rep.
Protect questions
 Jan 29 comment Does $\overline{ \sqrt{1 + i}} = \sqrt{1-i} \$? what if you cut at positive reals? Jan 29 asked Does $\overline{ \sqrt{1 + i}} = \sqrt{1-i} \$? Jan 26 answered If $[x+0.19] +[x+0.20] +[x+0.21] +\cdots [x+0.91] =546$ find the value of $[100x]$.. Jan 26 accepted express as contour integral $f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}}$ Jan 26 comment express as contour integral $f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}}$ Yeah this could be the one Jan 25 revised express as contour integral $f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}}$ edited body Jan 25 comment express as contour integral $f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}}$ @tired yes. the $e^{\frac{1}{2g}}$ is an instanton correction Jan 25 comment express as contour integral $f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}}$ @tired you get the error function if you don't add any correcting terms wolframalpha.com/input/… that's why I started making stuff up. it comes from a physics paper Jan 25 asked express as contour integral $f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}}$ Jan 24 comment How to prove that $f$ is integrable if $\forall \epsilon, \ \exists$ partition $M\in [a,b]$ such that $U_f(M) - L_f(M)\lt\epsilon$? In practice these partitions might get pretty exotic. What partition makes the upper and lower Riemann sums close when $f(x)=\sum_{n=0}^{100}\frac{1}{n}\sin nx$ ? This converges to a sawtooth wave Jan 22 comment How is the B-Spline definition constructed? Please look at these notes pomax.github.io/bezierinfo I can provide more discussion later Jan 21 comment Proof verification for $A \subset B$ iff $A - B = \varnothing$ I always found $A-B$ to be a finmy notation for sets since we're showing $A$ is inside $B$. Technically A "subset" of B Jan 19 asked Show $\mathbb{F}_2[x]/(x^3 + x^2 + 1) \simeq \mathbb{F}_2[t]/(t^3 + t + 1)$ Jan 19 comment Cartan Lie Algebra of the Unitary Group $U(N)$? I also found this resource astro.sunysb.edu/steinkirch/books/group.pdf Jan 19 asked Cartan Lie Algebra of the Unitary Group $U(N)$? Jan 18 answered Show that $(p \wedge q) \to (p \vee q)$ is a tautology Jan 16 asked What kind of geometric object is the Pauli spin matrix vector $\vec{\sigma}$? Jan 15 comment What are the dual polyhedra of the face-centered cubic lattice? do those things really tile 3D space?? I'd love to see a picture of that! Jan 15 asked What are the dual polyhedra of the face-centered cubic lattice? Jan 15 revised Non-equivalent metrics on $PSL_2(\mathbb{R})$ added 774 characters in body