https://memex.kyaruc.moe/ 2026-05-14T12:25:32+00:00 https://memex.kyaruc.moe/ https://memex.kyaruc.moe/_media/wiki:logo.png text/html 2025-11-19T18:52:27+00:00 Anonymous (anonymous@undisclosed.example.com) https://memex.kyaruc.moe/math:transforms?rev=1763578347&do=diff List of Integral / Space Transforms Laplace Transforms $$F(s) = \int_{-\infty}^{\infty}\,f(x)e^{st}\,dt$$ $f(t)$ $F(s)$ $$1$$ $$\frac{1}{s}$$ $$t^n\,,(n=0,1,2,...)$$ $$\frac{n!}{s^{n+1}}$$ $$t^nf(t)$$ $$(-1)\stackrel{n}{F}(s)$$ $$e^{at}$$ $$\frac{1}{s-a}$$ $$e^{at}f(t)$$ $$F(s-a)$$$$te^{at}$$$$\frac{1}{(s-… text/html 2025-12-14T02:20:41+00:00 Anonymous (anonymous@undisclosed.example.com) https://memex.kyaruc.moe/math:units?rev=1765678841&do=diff Units and System Conversions Table of Prefixes prefix symbol factor exa E 10¹⁸ peta P 10¹⁵ tera T 10¹² giga G 10⁹ mega M 10⁶ kilo k 10³ deka d $T_F = \frac{9}{5}T_C + 32$$T_C = \frac{5}{9}(T_F-32)$$0^{\circ}C = 273.15K$$0^{\circ}F = 456.67^{\circ}R$$R$$^{\circ}Ra$$T_R = \frac{5}{9}T_K$$1\cdot 10^3$$1\cdot 2^{10}$