diff --git a/docs/en/mathematics/linear-algebra/tensors/tensor-formalism.md b/docs/en/mathematics/linear-algebra/tensors/tensor-formalism.md index c47e97e..433ccf0 100644 --- a/docs/en/mathematics/linear-algebra/tensors/tensor-formalism.md +++ b/docs/en/mathematics/linear-algebra/tensors/tensor-formalism.md @@ -135,7 +135,7 @@ We have from theorem 2 that the outer product of two tensors yields another tens ## Inner product -> *Definition 5*: a **pseudo inner product** on $V$ is a nondegenerate bilinear mapping $\bm{g}: V \times V \to \mathbb{K}$ which satisfies +> *Definition 5*: a **pseudo inner product** on $V$ is a nondegenerate bilinear mapping $\boldsymbol{g}: V \times V \to \mathbb{K}$ which satisfies > > 1. for all $\mathbf{u} \in V \backslash \{\mathbf{0}\} \exists \mathbf{v} \in V: \; \bm{g}(\mathbf{u},\mathbf{v}) \neq 0$, > 2. for all $\mathbf{u}, \mathbf{v} \in V: \; \bm{g}(\mathbf{u}, \mathbf{v}) = \overline{\bm{g}}(\mathbf{v}, \mathbf{u})$,