Docs updates (#2229)

docs/core-concepts/memory-operations.mdx

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+---
+title: Memory Operations
+description: Understanding the core operations for managing memories in AI applications
+icon: "gear"
+iconType: "solid"
+---
+
+Mem0 provides two core operations for managing memories in AI applications: adding new memories and searching existing ones. This guide covers how these operations work and how to use them effectively in your application.
+
+
+## Core Operations
+
+Mem0 exposes two main endpoints for interacting with memories:
+- The `add` endpoint for ingesting conversations and storing them as memories
+- The `search` endpoint for retrieving relevant memories based on queries
+
+### Adding Memories
+
+<Frame caption="Architecture diagram illustrating the process of adding memories.">
+  <img src="../images/add_architecture.png" />
+</Frame>
+
+The add operation processes conversations through several steps:
+
+1. **Information Extraction**
+   * An LLM extracts relevant memories from the conversation
+   * It identifies important entities and their relationships
+
+2. **Conflict Resolution**
+   * The system compares new information with existing data
+   * It identifies and resolves any contradictions
+
+3. **Memory Storage**
+   * Vector database stores the actual memories
+   * Graph database maintains relationship information
+   * Information is continuously updated with each interaction
+
+### Searching Memories
+
+<Frame caption="Architecture diagram illustrating the memory search process.">
+  <img src="../images/search_architecture.png" />
+</Frame>
+
+The search operation retrieves memories through a multi-step process:
+
+1. **Query Processing**
+   * LLM processes and optimizes the search query
+   * System prepares filters for targeted search
+
+2. **Vector Search**
+   * Performs semantic search using the optimized query
+   * Ranks results by relevance to the query
+   * Applies specified filters (user, agent, metadata, etc.)
+
+3. **Result Processing**
+   * Combines and ranks the search results
+   * Returns memories with relevance scores
+   * Includes associated metadata and timestamps
+
+This semantic search approach ensures accurate memory retrieval, whether you're looking for specific information or exploring related concepts.