This document summarizes how LINE messaging uses Redis. It discusses:
- How LINE has scaled Redis from 3 nodes in 2011 to over 14,000 nodes today to support over 25 billion messages per day.
- The key ways LINE uses Redis, including for storing sequences, caches, secondary indexes, and local queues.
- Challenges LINE faced in scaling their in-house Redis cluster to over 1,000 nodes and workarounds they developed.
- How LINE monitors Redis for slow commands, bursting operations, and connections to address performance issues.
- Future work LINE is doing with Redis 4 and improving latency and scalability.
This document summarizes how LINE messaging uses Redis. It discusses:
- How LINE has scaled Redis from 3 nodes in 2011 to over 14,000 nodes today to support over 25 billion messages per day.
- The key ways LINE uses Redis, including for storing sequences, caches, secondary indexes, and local queues.
- Challenges LINE faced in scaling their in-house Redis cluster to over 1,000 nodes and workarounds they developed.
- How LINE monitors Redis for slow commands, bursting operations, and connections to address performance issues.
- Future work LINE is doing with Redis 4 and improving latency and scalability.
The document introduces basic concepts of linear algebra including:
1) Common number sets such as real numbers, integers, and rational numbers.
2) Matrix operations including addition, scalar multiplication, and matrix multiplication.
3) Derivatives of functions with multiple variables are represented using partial derivatives.
4) Concepts of vectors, matrices, determinants, transpose and inner products are defined.
The document introduces basic concepts of linear algebra including:
1) Common number sets such as real numbers, integers, and rational numbers.
2) Matrix operations including addition, scalar multiplication, and matrix multiplication.
3) Derivatives of functions with multiple variables are represented using partial derivatives.
4) Concepts of vectors, matrices, determinants, transpose and inner products are defined.