Symbol meaning

What Does e Mean in Math?

Interpret e as Euler’s number, a basis vector, an error term, an edge, or a locally defined variable.

Compare the possible meanings

NotationTypical meaningHow to identify it
Euler's number as exponential baseCalculus
eᵢBasis vectorLinear algebra
e = y−ŷError or residualStatistics
e∈EGraph edgeGraph theory

Examples

  • d(eˣ)/dx=eˣ.
  • The standard basis vector e₁=(1,0,…,0).
  • A residual may be written eᵢ=yᵢ−ŷᵢ.

How to decide

Use the surrounding subject, subscripts, and explicit definitions to identify the role.

How to verify the interpretation

Check whether the expression requires a fixed constant or a variable object.

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