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Testing boldface font.

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Luc Bijl 2024-05-12 12:33:26 +02:00
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docs/en/mathematics/linear-algebra/tensors/tensor-formalism.md
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@ -135,7 +135,7 @@ We have from theorem 2 that the outer product of two tensors yields another tens
## Inner product ## 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 $\mathbf{u} \in V \backslash \{\mathbf{0}\} \exists \mathbf{v} \in V: \; \bm{g}(\mathbf{u},\mathbf{v}) \neq 0$, > 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 $\mathbf{u}, \mathbf{v} \in V: \; \bm{g}(\mathbf{u}, \mathbf{v}) = \overline{\bm{g}}(\mathbf{v}, \mathbf{u})$, > 2. for all $\mathbf{u}, \mathbf{v} \in V: \; \bm{g}(\mathbf{u}, \mathbf{v}) = \overline{\bm{g}}(\mathbf{v}, \mathbf{u})$,