# Inner-product-induced norm

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Inner-product-induced norm](https://ocme.evemisslab.com/en/atlas/atlas-inner-product-induced-norm/)

On the same real inner-product space, the norm is the nonnegative square root of the self-inner-product; the triangle inequality uses the universal Cauchy–Schwarz certificate.

atlas-inner-product-induced-norm · canonical_mko

[Inner-product-induced norm](https://ocme.evemisslab.com/en/mko/mko-inner-product-induced-norm/)

## Prerequisite nodes


- [Real inner-product space](https://ocme.evemisslab.com/en/atlas/atlas-real-inner-product-space/)
- [Natural-number powers and principal square roots](https://ocme.evemisslab.com/en/atlas/atlas-power-root/)
- [Usual order on the real numbers](https://ocme.evemisslab.com/en/atlas/atlas-order-relation/)