---
title: "Action-value function mathematical notation"
description: "Action-value function is a recurring research-paper notation family. Returns the expected future return after taking one action in a state and then…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/action-value"
md_url: "https://fanout.sh/labs/math-decoder/symbol/action-value.md"
last_updated: "2026-08-09"
access: "public"
---

# Action-value function mathematical notation

Action-value function is a recurring research-paper notation family. Returns the expected future return after taking one action in a state and then…

## Public overview

Action-value function is a recurring research-paper notation family. Returns the expected future return after taking one action in a state and then continuing according to a policy.

Action-value function: Returns the expected future return after taking one action in a state and then continuing according to a policy. Example: Average future return after committing to action a in state s.

---
This representation contains public Fanout content only. Protected Pro lessons, account data, billing, checkout, and pricing are not included.

Browse the public content map: https://fanout.sh/sitemap.md