Function Arguments - "Invisible Apply Function" Operator U+2061

Q

Is the "Invisible Apply Function" Operator, ⁡ (U+2061), required between the function identifier and the function argument list?

✍: FYIcenter.com

A

No, the "Invisible Apply Function" Operator, ⁡, is not required between the function identifier and the function argument list. But it is recommended.

See the comparison given below:

⁡ is added:
<math><mi>sin</mi><mo>&#x2061;</mo><mi>θ</mi>
  <mo>=</mo><mi>cos</mi><mo>⁡</mo>
  <mo>(</mo><mn>0.5</mn><mi mathvariant="normal">π</mi><mo>-</mo><mi>θ</mi>
  <mo>)</mo></math>
    sin⁡θ
      =cos⁡
      (0.5π-θ
      )

&#x2061; is removed:
<math><mi>sin</mi><mi>θ</mi>
  <mo>=</mo><mi>cos</mi>
  <mo>(</mo><mn>0.5</mn><mi mathvariant="normal">π</mi><mo>-</mo><mi>θ</mi>
  <mo>)</mo></math>
    sinθ
      =cos
      (0.5π-θ
      )

 

⇒ Function Arguments - Parentheses and Spacing

⇐ List of Well-Known Operators

⇑ ISO 80000-2 Quantities and Units - Mathematics

⇑⇑ MathML (Mathematical Markup Language)

2026-10-17, ∼1883🔥, 0💬