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⨒

Line Integration With Rectangular Path Around Pole Symbol

⨒ represents line integration with a rectangular contour around a pole in math notation.

U+2A12

⨒ is a mathematical symbol used in contexts involving contour or path integrals. Its official name describes a rectangular path taken around a pole. This page helps you copy the character and understand how it’s typically referenced in notation.

Line Integration With Rectangular Path Around Pole Symbol Meaning

⨒ (Unicode U+2A12) stands for “LINE INTEGRATION WITH RECTANGULAR PATH AROUND POLE.” In math and physics-style notation, it signals that an integral is evaluated along a rectangular contour chosen specifically to enclose a singularity (a pole). The rectangular shape matters because it reflects a particular integration path used in a derivation or evaluation. When writing equations, ⨒ is often paired with integral symbols and expressions indicating the integrand and the contour (e.g., specifying that the path loops around the pole). Use it when you want the contour-path aspect (rectangular around a pole) to be explicit rather than implied.

Common uses

  • •Writing contour integral notation in complex analysis where a rectangular contour encloses a pole
  • •Annotating worked solutions that emphasize the chosen integration path shape (rectangular) around a singularity
  • •Documenting formulas in math/physics notes where contour choice is part of the method
  • •Labeling variables or steps in derivations that reference “rectangular path” assumptions
  • •Creating lecture slides or technical diagrams that distinguish rectangular contour integrals from other shapes

Examples

⨒ Line Integration with Rectangular Path Around Pole

  • ⨒⨒ ∮ f(z) dz around the pole using a rectangular contour
  • ⨒Compute ⨒ for the integrand g(z) with the contour drawn as a rectangle
  • ⨒By evaluating ⨒, we obtain the contribution from the enclosed pole
  • ⨒The result of ⨒ depends on choosing a rectangular path around the singularity
  • ⨒In the derivation, ⨒ indicates the contour integral along the rectangular loop

Variations

Ready to copy

Technical codes

UnicodeU+2A12
HTML Entity⨒
HTML Code⨒
CSS\2A12
Alt CodeAlt + 10770
Decimal10770

How to type Line Integration With Rectangular Path Around Pole Symbol (⨒)

On Windows

Hold Alt and type 10770 on the numeric keypad. In Word, type 2A12 then press Alt + X.

On Mac

Switch to the Unicode Hex Input keyboard, then hold Option and type 2A12. Or press Control + Command + Space and search.

On Linux

Press Control + Shift + U, type 2a12, then press Enter or Space.

Anywhere

Copy ⨒ with the button above and paste it wherever you need it — this works on every device and in every app, with no keyboard shortcut to remember.

FAQ

What does the Line Integration With Rectangular Path Around Pole symbol mean?

⨒ (Unicode U+2A12) stands for “LINE INTEGRATION WITH RECTANGULAR PATH AROUND POLE.” In math and physics-style notation, it signals that an integral is evaluated along a rectangular contour chosen specifically to enclose a singularity (a pole). The rectangular shape matters because it reflects a particular integration path used in a derivation or evaluation. When writing equations, ⨒ is often paired with integral symbols and expressions indicating the integrand and the contour (e.g., specifying that the path loops around the pole). Use it when you want the contour-path aspect (rectangular around a pole) to be explicit rather than implied.

What is ⨒ used for?

⨒ is used to indicate line integration along a rectangular contour around a pole, as described by its Unicode name (U+2A12).

How do I copy ⨒ into HTML?

You can use the HTML entity ⨒ or paste the character directly (⨒).

What CSS or JavaScript escapes can I use?

CSS: \\2A12. JavaScript: \\u{2A12}.

Is the rectangular shape important?

Yes. The symbol’s name explicitly includes “rectangular path,” so it’s meant to reflect that the chosen contour is rectangular around the pole.

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