What does "Local Properties" mean?
Table of Contents
Local properties refer to various characteristics that can be observed within a specific area of a material or a system. These properties often relate to how certain parts behave differently than others due to their surroundings or structure.
In Coding Theory
In the context of coding, local properties can help us understand how well codes, which are used to send information, perform under certain conditions. For example, codes can be designed to recover data even if some parts are lost or damaged. By examining local properties, researchers can determine the effectiveness of different codes based on how they are constructed and the sizes of the alphabets they use.
In Materials Science
When looking at materials, especially tiny grains within metals, local properties show how different parts can have distinct physical behavior. For example, the way metals bend or stretch can change depending on whether they are in the center of a grain or near a boundary with another grain. Understanding these differences is vital for improving the strength and durability of materials.
Overall, local properties help in assessing the performance and reliability of codes in communication and the physical behavior of materials at small scales.