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m Disambiguated: Borel transform → Borel summation using Dab solver |
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{| class="wikitable"
|- style="background:#eaeaea"
! style="text-align: center" | Expression
! style="text-align: center" | Curve<br>definition
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| <math>F[r]=t (r'\circ r^{[-1]})</math>||Intrinsic||<math>r=r(s)</math><br><math>s=t</math>
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|<math>X[x,y]=x-\frac{x'\int_a^t \sqrt { x'^2 + y'^2 }\, dt}{\sqrt { x'^2 + y'^2 }}</math><br><br><math>Y[x,y]=y-\frac{y'\int_a^t \sqrt { x'^2 + y'^2 }\, dt}{\sqrt { x'^2 + y'^2 }}</math>|| Parametric<br>Cartesian||<math>x=x(t)</math><br><math>y=y(t)</math>||
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|<math>X[x,y]=\frac{(xy'-yx')y'}{x'^2 + y'^2}</math><br><br><math>Y[x,y]=\frac{(yx'-xy')x'}{x'^2 + y'^2}</math>|| Parametric<br>Cartesian||<math>x=x(t)</math><br><math>y=y(t)</math>||
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|<math>X[x,y]=\frac{(x'^2-y'^2)y'+2xyx'}{xy'-yx'}</math><br><br><math>Y[x,y]=\frac{(x'^2-y'^2)x'+2xyy'}{xy'-yx'}</math>|| Parametric<br>Cartesian||<math>x=x(t)</math><br><math>y=y(t)</math>||
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| <math>X[y] = \int_a^t \cos \left[\int_a^t \frac{1}{y} \,dt\right] dt</math><br><br><math>Y[y] = \int_a^t \sin \left[\int_a^t \frac{1}{y} \,dt\right] dt</math>||Intrinsic||<math>y=r(s)</math><br><math>s=t</math>||Intrinsic to<br>Cartesian<br>transformation
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| <math>F[y] = \int_E (t-\int_E yt\,dt)^2y\,dt</math>|| || ||[[Variance]]
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* [[Transfer operator]]
* [[Fredholm operator]]
* [[Borel summation|Borel transform]]
* [[Table of mathematical symbols]]
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