Local operations in Map Algebra are defined as operations that:

Local operations in Map Algebra refer to processes where computations are performed on individual cells in a raster dataset independently of the values of other cells. This means that for each cell in a raster, the operation uses only the value of that specific cell to calculate an output.

This characteristic allows local operations to be efficient and straightforward, applying the same function to each cell without the need to consider neighboring or surrounding cells. An example of this would be calculating a new raster where each cell represents the result of applying a mathematical function (like addition or multiplication) to the value of that same cell in an input raster.

In contrast, options that suggest analyzing groups of neighboring cells or depending on the entire raster data fall under different types of operations, such as neighborhood or global operations, respectively. Neighborhood operations involve multiple cells, typically focusing on context, while global operations integrate information from the whole dataset. These approaches fundamentally differ in purpose and methodology from local operations, which emphasize independence and simplicity in cell-by-cell processing.