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MathML Demo: <mfrac> - fractions

NOTES:

1. Alternate stylesheets are available from: View → Page Style → STIX | Asana Math | MathJax
2. Right click on a MathML fragment and choose View MathML Source to get its source.
3. In the examples below, the text won't be allowed to decrease pass the scriptminsize or your browser's minimum allowable font size -- this can be set with Tools → Options → Content tab → Fonts & Colors → Advanced button → Minimum font size. To see the effect of the gradual decrease induced by changes in script levels more clearly, you may have to increase your default font size in the menu: Tools → Options → Content tab → Fonts & Colors → Size.
   • Here is how the alphabet looks like at scriptminsize: a, b, c ... x, y, z
   • Here is how greek letters look like at scriptminsize: α, β, γ ..., ψ, ω, ϑ, ϒ, ϖ
   • Here is how numbers look like at scriptminsize: 0, 1, 2, ..., 10, 11, 12, ...
4. You can use View → Zoom → Text Zoom only checked in the usual way to zoom the MathML text along with the other text.
5. The text written that way in the above remarks describes items in the menu bar. If you only see the Firefox menu, you can enable the menu bar with Firefox → Options → Menubar.

1. Inline, auto, normal line $\frac{\sin \theta }{\pi }$, numerator and denominator should render script size.
2. Inline, display style, normal line ${\displaystyle \frac{\ln x}{y}}$, numerator and denominator should render normal size.
3. Inline, text style, normal line $\frac{\tan \theta }{67}$, numerator and denominator should render script size.
4. Inline, auto, thick line $\genfrac{}{}{1pt}{}{x^2+1}{x}$, the superscripted 2 should be script-script size.
5. Inline, display style, thick line ${\displaystyle \genfrac{}{}{1pt}{}{x-1}{0.98\times {10}^2+y}}$, the superscripted 2 should be script size.
6. Inline, text style, thick line ${\displaystyle \genfrac{}{}{1pt}{}{x^2+1}{x}}\genfrac{}{}{1pt}{}{x^2+1}{x}$ the end.
7. Inline, auto, no line $\genfrac{}{}{0ex}{}{x^2+1}{x}$ the end.
8. Inline, display style, no line ${\displaystyle \genfrac{}{}{0ex}{}{1.234567}{89+x}}$ the end.
9. Inline, text style, no line $\genfrac{}{}{0ex}{}{x^2+1}{x}$ the end.
10. Inline binomial, auto, no line $\left(\genfrac{}{}{0ex}{}{5}{8}\right)$ the end.
11. Inline binomial, display style, no line $\left({\displaystyle \genfrac{}{}{0ex}{}{n-k}{n}}\right)$ the end.
12. Inline binomial, text style, no line $\left(\genfrac{}{}{0ex}{}{\log x}{y}\right)$ the end.
13. Inline built-in verts, auto, no line $\left|\genfrac{}{}{0ex}{}{\sin \theta }{M}\right|$ the end.
14. Inline up arrows, display style, no line $\uparrow {\displaystyle \genfrac{}{}{0ex}{}{\sin \theta }{M}}\uparrow$ the end.
15. Inline down arrows, text style, no line $\downarrow \genfrac{}{}{0ex}{}{\sin \theta }{M}\downarrow$ the end.
16. Inline floor, auto, normal line $\lfloor \frac{\sin \theta }{M}\rfloor$ the end.
17. Inline ceiling, display style, normal line $\lceil {\displaystyle \frac{\sin \theta }{M}}\rceil$ the end.
18. Inline updown arrows, text style, normal line $\updownarrow \frac{\sin \theta }{M}\updownarrow$ the end.
19. Inline double up arrows, auto, thick line $\Uparrow \genfrac{}{}{1pt}{}{\sin \theta }{M}\Uparrow$ the end.
20. Inline double down arrows, display style, thick line $\Downarrow {\displaystyle \genfrac{}{}{1pt}{}{\sin \theta }{M}}\Downarrow$ the end.
21. Inline double up down arrows, text style, thick line $\Updownarrow \genfrac{}{}{1pt}{}{\sin \theta }{M}\Updownarrow$ the end.
22. Inline, styles auto, display and text $\frac{1}{2}-{\displaystyle \frac{1}{2}}+\frac{1.23456}{7890}$, the rendering should be script-size, normal-size and script-size in this example. Fraction lines should align vertically with the math axis.
23. The same expression $${\displaystyle \frac{1}{2}-{\displaystyle \frac{1}{2}}+\frac{1.23456}{7890}}$$ in a display.
24. Inline fenced nested fractions $\left[\frac{\parallel \frac{\sin \theta +1}{11}\parallel -x}{\frac{x^2}{a_1}}\right]+[1.0]$ etc.
25. The same expression $${\displaystyle \left[\frac{\parallel \frac{\sin \theta +1}{11}\parallel -x}{\frac{x^2}{a_1}}\right]+[1.0]}$$ in a display.
26. LaTeX renders continued fractions ${\displaystyle \frac{1}{\sqrt{2}+{\displaystyle \frac{1}{\sqrt{3}+{\displaystyle \frac{1}{\sqrt{4}+{\displaystyle \frac{1}{\sqrt{5}+{\displaystyle \frac{1}{\sqrt{6}+\dots }}}}}}}}}}$ normal size at all levels in all contexts
27. $${\displaystyle \frac{1}{\sqrt{2}+{\displaystyle \frac{1}{\sqrt{3}+{\displaystyle \frac{1}{\sqrt{4}+{\displaystyle \frac{1}{\sqrt{5}+{\displaystyle \frac{1}{\sqrt{6}+\dots }}}}}}}}}}$$
28. Inline nested fracs $\frac{1^{\sqrt{6}}}{\sqrt{2}+\frac{1}{\sqrt{3}+\frac{1}{\sqrt{4}+\frac{1}{\sqrt{5}+\frac{1}{\sqrt{6}+\dots }}}}}$ are script size at the first level and decrease to script script size for all more nested levels.
29. Displayed nested fractions are normal size at the first level, $${\displaystyle \frac{1^{\sqrt{6}}}{\sqrt{2}+\frac{1}{\sqrt{3}+\frac{1}{\sqrt{4}+\frac{1}{\sqrt{5}+\frac{1}{\sqrt{6}+\dots }}}}}}$$script size at second level, and script-script size at all more nested levels.
30. $${\displaystyle \mathrm{HypergeomDist}\left(x;M,K,n\right)=\sum _{k=0}^x\frac{\left(\genfrac{}{}{0ex}{}{K}{k}\right)\left(\genfrac{}{}{0ex}{}{M-K}{n-k}\right)}{\left(\genfrac{}{}{0ex}{}{M}{n}\right)}}$$
31. Here's a display $${\displaystyle F\left(t,y\right)=\frac{\left(1,\frac{dy}{dt}\right)}{\parallel \left(1,\frac{dy}{dt}\right)\parallel }}$$ with some real math in it.
32. And this is an example where the bevelled attribute is set inside the radical $$\frac{y^2-t^2}{\sqrt{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$(1+{\left|y^2-t^2\right|}^2)$}\right.}}$$
33. And this shows a combination with a background image at a desired opacity
    $$Z_{\alpha }\left(f\right)=\frac{1}{2i\hspace{0.17em}\cos \left(\frac{\alpha \pi }{2}\right)}{\int }_C\frac{f(iz){(-z)}^{\alpha }}{e^{2\pi z}-1}\mathrm{dz}$$