# On a certain inequality for the sum of norms and reverse uncertainty relations

Source: [On a certain inequality for the sum of norms and reverse uncertainty relations](<https://www.sota2.com/research/paper/68fa4ab21e209131ce9407d0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-07-14T05:00:01.588Z

Authors: K. Urbanowski

Published: 2025-03-04T21:57:11.000Z

## Abstract

We prove a simple inequality for a sum of squares of norms of two vectors in an inner product space. Next, using this inequality we derive the so--called "reverse uncertainty relation" and analyze its properties.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2503.05669>)

[PDF](<https://arxiv.org/pdf/2503.05669.pdf>)