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You can use AsciiMath or JLaTeXMath notation within PlantUML:
note right
Try also
<latex>P(y|\mathbf{x}) \mbox{ or } f(\mathbf{x})+\epsilon</latex>
end note
AsciiMath on activity diagram
Bob -> Alice : Can you solve: <math>ax^2+bx+c=0</math>
Alice --> Bob: <math>x = (-b+-sqrt(b^2-4ac))/(2a)</math>
AsciiMath on sequence diagram

Standalone diagram

You can also use @startmath/@endmath to create standalone AsciiMath formula.
f(t)=(a_0)/2 + sum_(n=1)^ooa_ncos((npit)/L)+sum_(n=1)^oo b_n\ sin((npit)/L)
standalone math formula
Or use @startlatex/@endlatex to create standalone JLaTeXMath formula.
\sum_{i=0}^{n-1} (a_i + b_i^2)
standalone math formula

How is this working ?

To draw those formulas, PlantUML uses two OpenSource projects: ASCIIMathTeXImg.js is small enough to be integrated into PlantUML standard distribution.

Since JLatexMath is bigger, you have to download it separately, then unzip the 4 jar files (batik-all-1.7.jar jlatexmath-minimal-1.0.3.jar jlm_cyrillic.jar and jlm_greek.jar) in the same folder as PlantUML.jar.

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